A company has two large computers. The slower computer can send all the company's email in 60 minutes. The faster computer can complete the same job in 40 minutes. If both computers are working together, how long will it take them to do the job? Do not do any rounding.

Answers

Answer 1

Answer:

If both computers are working together, it will take 24 minutes to do the job

Step-by-step explanation:

It is given that,

There are two computers.The slower computer can send all the company's email in 60 minutes.

The faster computer can complete the same job in 40 minutes

To find the LCM of 40 and 60

LCM (40, 60) = 120

To find efficiency of 2 computers

Let x be the efficiency of faster computer and y be the efficiency of faster computer

x = 120/40 = 3

y = 120/60 = 2

then, x + y = 3 + 2 = 5

Therefore efficiency of both the computer work together = x + y =5

To find the time taken to work both the computer together

time = 120/5 = 24 minutes

Answer 2
Final answer:

The slower computer works at a rate of 1/60 of the task in a minute, and the faster computer works at a rate of 1/40 per minute. When they work together, they perform 1/24 of the task per minute, and hence, they would complete the task in 24 minutes.

Explanation:

The subject of this question is Mathematics, specifically focused on the topic of rates and time. The slower computer sends all the company's email in 60 minutes, which implies it can perform 1/60 of the task per minute. The faster computer can send all the company's email in 40 minutes, inferring that it works at a rate of 1/40 of the task per minute.

When both computers are working together, their rates of working are added together, therefore they perform (1/60) + (1/40) = 1/24 of the task per minute. The reciprocal of this fraction gives the total time it would take both computers to complete the task, i.e., 24 minutes when working together. So, it would take 24 minutes for both computers to send all the company's emails if they work together.

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Related Questions

Aisha owns an apparel store. She bought some shirts and jeans from a wholesaler for $3,900. Each shirt cost $12 and each pair of jeans cost $28. If she sold the shirts at 70% profit and jeans at 125% profit, her total profit was $3,885. How many shirts and jeans did she buy from the wholesalers? 101 shirts and 96 jeans 129 shirts and 84 jeans 150 shirts and 75 jeans 160 shirts and 71 jeans

Answers

Answer:

150 shirts and 75 jeans

Step-by-step explanation:

s = shirts

j = jeans

12s+28j = 3900

The profit on the shirts is 70 percent so we multiply 12 by .7  

12*.7 = 8.4

The profit on the jeans is 125 percent so we multiply 28 by 1.25  

The profit was 3885

28*1.25 = 35

8.4s+ 35j=3885


We now have 2 equations and 2 unknowns

12s+28j = 3900

8.4*s+ 35j=3885

I am going to solve by elimination

Multiply the first equation by -.7

-.7 (12s+28j )= -.7*3900

-8.4s -19.6j=-2730

Add this to the second equation

-8.4s -19.6=-2730

8.4s+ 35j=3885

------------------------

15.4j = 1155

Divide each side by 15.4

15.4j/15.4= 1155/15.4

j = 75


Now we need to find the shirts.

We will substitute j=75

12s+28(75) = 3900

12s +2100 = 3900

Subtract 2100 from each side

12s = 3900-2100

12s = 1800

Divide by 12

12s/12 = 1800/12

s =150


What are the slope and y-intercept of the graph of y=−13x+1 ? A. slope: −13; y-intercept: 1 B. slope: 13; y-intercept: −1 C. slope: 1; y-intercept: −13 D. slope: 13; y-intercept: 1

Answers

Answer:

The correct answer is A) slope: -13 Intercept: 1

Step-by-step explanation:

When you have something in slope-intercept form, the slope is always the coefficient of x, which in this case is -13.

The intercept is always the constant at the end of the equation, which in this case is 1.

Answer:

a)

Step-by-step explanation:

What could be the next statement that Ivan makes his proof?

Answers

Answer: Choice A) Triangle ABC is similar to triangle ACD by AA

AA stands for Angle Angle. Specifically it means we need 2 pairs of congruent angles between the two triangles in order to prove the triangles similar. Your book might write "AA similarity" instead of simply "AA".

For triangles ABC and ACD, we have the first pair of angles being A = A (angle A shows up twice each in the first slot). The second pair of congruent angles would be the right angles for triangle ABC and ACD, which are angles C and D respectively.

We can't use AAS because we don't know any information about the sides of the triangle.

y=3x, is this in standard form? And if not can i get an explanation on why not?

Answers

Answer: i would say no


Step-by-step explanation:

To write a linear equation in standard form, move each variable term to the left side of the equation and simplify.

Ax+By=C

Since x

is on the right side of the equation, switch the sides so it is on the left side of the equation.

3x=y

Move y

to the left side of the equation because it contains a variable.

3x−y=0

Answer:

no but see explanation

Step-by-step explanation:

the equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

rearrange y = 3x into this form

subtract y from both sides

0 = 3x - y, hence

3x - y = 0 ← in standard form



Write an equation that represents the line.
Use exact numbers.

Answers

ANSWER

The equation of the given line is

[tex]4y - 3x + 18 = 0[/tex]

EXPLANATION

The line passes through the points
[tex](2,-3) \: and \: ( - 2,-6)[/tex]

We can use these two points to determine the slope as follows:

[tex]slope = \frac{ - 6 - - 3}{ - 2 - 2} [/tex]

[tex]slope = \frac{ - 6 + 3}{ - 2 - 2} [/tex]

[tex]slope = \frac{ -3}{ - 4} = \frac{3}{4} [/tex]

We now apply the point slope formula

[tex]y-y_1=m(x-x_1)[/tex]

to obtain,

[tex]y + 3 = \frac{3}{4} (x - 2)[/tex]

We multiply through by 4 to get,

[tex]4y + 12 = 3(x - 2)[/tex]

This gives us,

[tex]4y + 12 = 3x - 6[/tex]

We simplify further to get,

[tex]4y - 3x + 18 = 0[/tex]

The calculated equation of the line is y = 3/4x - 4.5

How to determine the equation of the line

From the question, we have the following parameters that can be used in our computation:

The graph

A linear equation is represented as

y = mx + c

Where

c = y when x = 0

m = slope

Using the above as a guide, we have the following:

m = (-6 + 3)/(-2 - 2)

m = 3/4

So, we have

y = 3/4x + c

Using the points, we have

3/4 * 6 + c = 0

Evaluate

c = -4.5

So, we have

y = 3/4x - 4.5

Hence, the equation is y = 3/4x - 4.5

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for his phone service John pays a monthly fee of $13 and he pays an additional $0.06 per minute of use the least he has been charged in a month is $73.96

what are the possible numbers of minutes he has used his phone in a month. Use M for the number of minutes and solve your inequality for M

Answers

Answer:

m ≥ 1016

Step-by-step explanation:

13+0.06M≥73.96

0.06M ≥ 60.96

m ≥ 1016

How do I divide 4 digit by 1 digit

Answers

Answer:

long division

Step-by-step explanation:

3000/3= 1000

Answer:

Good, now we’re going to explain how to solve a 3-digit division problem in 5 simple steps.

Step #1. Observe how many digits the divisor has.

In our example, the divisor has 3 digits.

Step-by-step explanation:Good, now we’re going to explain how to solve a 3-digit division problem in 5 simple steps.

Step #1. Observe how many digits the divisor has.

In our example, the divisor has 3 digits.                                                                                Step #2. In the dividend, start with the same number of digits that you found in Step #1.Step #3. Compare the 3 digits from the dividend and divisor.

If the dividend’s number is greater, we can begin dividing. In our example, we see that 389 is greater than 125, so let’s get started!

If the dividend’s number is less than the divisor, we must use another digit from the dividend. We’ll look at an example of this situation at a different time.

Step #4. Divide the dividend’s numbers by the divisor’s numbers.

Divide the dividend’s first number (which is 3 in our example) by the divisor’s first number (1). 3 by 1 is 3. Then, we multiply our divisor (125) by 3 and see that it fits in (in other words, that it’s less than) the dividend’s 3 numbers. So, we place the result underneath the dividend’s 3 digits and subtract.


write this as a algebraic expression (the quotient of 4 and a number)

Answers

Answer:

4/n

Step-by-step explanation:

An algebraic expression is in terms of variables and constants.

quotient means division

the quotient of 4 and a number

4/n

What are the quotient and remainder of (3x^4-2x^3+7x-4)/(x-3)

Answers

Answer: Remainder: 206

Quotient: 3x³+7x²+21x+70 + [tex]\frac{206}{x-6}[/tex]

Step-by-step explanation: You can either use long division or synthetic division. I will use synthetic division: 3 | 3 -2 0 7 -4... the remainder is 206 and the quotient is 3x³+7x²+21x+70  + 206/x-6


The remainder is 206 and the quotient is ([tex]3x^{4} - 2x^{3} + 7x -4[/tex] -206) /(x - 3)

What is quotient in a division?

A result obtained by dividing one quantity by another is called a quotient.

What is remainder in a division?

Remainder is the value left after the division.

How to find the quotient and remainder of the division?We know that, if (x - h) divides a function f(x) then f(h) is the remainder.

∴ Here the remainder will be putting x = 3 in the dividend.

So, remainder = [tex]3(3)^{4} - 2(3)^{3} + 7(3) - 4[/tex] = 206

We can get the quotient by the quotient remainder rule which says

in a division, dividend is equal to divisor multiplied by quotient plus remainder.

Let the quotient be Q(x)

Here,  we can write,

[tex]3x^{4} - 2x^{3} + 7x -4[/tex]  = (x - 3)Q(x) + 206

⇒ Q(x) = ([tex]3x^{4} - 2x^{3} + 7x -4[/tex] -206) / (x - 3)

So, the required quotient is  ([tex]3x^{4} - 2x^{3} + 7x -4[/tex] -206) / (x - 3)

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In an experiment, a student randomly chooses an answer to two multiple-choice questions. The first question has 4 answers to choose from, and the second question has 5 answers to choose from. How many outcomes are in the sample space? Enter your answer in the box.

Answers

Answer:

20

Step-by-step explanation:

Since you have 2 different questions to gather outcomes from, you multiply the amount of choices each has.  Obviously, 4 * 5 = 20 so the answer is 20.

Using it's concept, it is found that there are 20 outcomes in the sample space.

The sample space is the set that contains all possible outcomes for an experiment.

In this problem:

For the first question, there are 4 possible outcomes.For the second question, there are 5 possible outcomes.

The outcomes in the first question are independent of the outcomes in the second question, hence there are 4 x 5 = 20 outcomes in the sample space.

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Please answer quickly
Consider the function f(x)=−2/3x+5 .

What is f(−1/2) ?

Enter your answer as a simplified fraction.

Answers

Answer:

[tex]\frac{16}{3}[/tex]

Step-by-step explanation:

To evaluate substitute x = - [tex]\frac{1}{2}[/tex] into f(x)

f( - [tex]\frac{1}{2}[/tex])

= - [tex]\frac{2}{3}[/tex] × - [tex]\frac{1}{2}[/tex] + 5

= [tex]\frac{1}{3}[/tex] + 5

= [tex]\frac{1}{3}[/tex] + [tex]\frac{15}{3}[/tex] = [tex]\frac{16}{3}[/tex]


there are 18 oranges in box A and 36 in box B. What is the ratio of the oranges in Box A to Box B?

Answers

Answer:

hello there the answer is 36:18

Step-by-step explanation:

because it dosent matter which number is bigger it matters about the oder they ask to put it in and in this case a to b =36to18


Hey there!

[tex]\boxed{BoxA: 18}[/tex]

[tex]\boxed{BoxB:36}[/tex]

You could have your [tex]ratio[/tex] to look like this: [tex]18:36[/tex] (most likely going to be your answer if you are looking for the ratio of the number)

BUT if you're trying to solve your [tex]ratio[/tex] then....

Both terms go into [tex]18[/tex], [tex]9[/tex], and [tex]2[/tex]

[tex]\frac{18}{2}[/tex] [tex]= 9[/tex]

[tex]\frac{36}{2} = 18[/tex]

[tex]\boxed{9:18}[/tex]

[tex]\frac{18}{9} = 2[/tex]

[tex]\frac{36}{9} = 4[/tex]

[tex]\boxed{2:4}[/tex]

[tex]\frac{18}{18} = 1[/tex]

[tex]\frac{36}{18} = 2[/tex]

[tex]\boxed{1:2}[/tex]

Answer: [tex]\boxed{36:18}[/tex] or [tex]\boxed{18:36}[/tex]

Good luck on your assignment and enjoy your day!

~[tex]LoveYourselfFirst:)[/tex]

use the distributive property to find the missing numbers 4 x (3 + 7) = (4 x ?) + (4 x ?)

Answers

Answer:

4 x (3+7) = (4 x 5) + (4 x 5) => 40= 20+20

Step-by-step explanation:

12+28=>40=(4 x 5) + (4 x 5)

Elimination Method 7x=3y+45 4x+5y=19 (Show it step by step please!)

Answers

[tex]\left\{\begin{array}{ccc}7x=3y+45&|\text{subtract 3y from both sides}\\4x+5y=19\end{array}\right\\\left\{\begin{array}{ccc}7x-3y=45&|\text{multiply both sides by 5}\\4x+5y=19&|\text{multiply both sides by 3}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}35x-15y=225\\12x+15y=57\end{array}\right}\qquad|\text{add both sides of the equations}\\.\qquad47x=282\qquad\text{divide both sides by 47}\\.\qquad \boxed{x=6}\\\\\text{Put the value of x to the second equation}[/tex]

[tex]4(6)+5y=19\\\\24+5y=19\qquad\text{subtract 24 from both sides}\\\\5y=-5\qquad\text{divide both sides by 5}\\\\\boxed{y=-1}\\\\Answer:\ \boxed{x=6\ and\ y=-1}[/tex]

6,-1 this is the answer

Plz help I need this by today

Answers

Answer:

the answers are below

Step-by-step explanation:

I don't know which one you needed help on

First one: 128x=96 --> x=3/4 so 96 is 75% of 128

Second one: 7^2=49, then use distributive property for the second part (3*5.2) and (3*-2.8)---> 49+15.6-8.4= 56.2

Third one: find the greatest common factor between 7x and 56 (it is 7 since seven can go into 56)---> 7(x+8)

how many points of intersection are there between line A and line B if they contain points listed?

Line A: (-4,9) and (0,-3)
Line B: (4, -9) and (0, 3)

a. zero
b. one
c. two
d. infinite

Answers

Answer:

Zero

Step-by-step explanation : If you plot the points on a graph, you would notice they have the same slope but different y intercepts. This means they are Parallel lines and have no slope (Or Zero slope). Hope this helps!

Final answer:

The lines are parallel and will never intersect, so the answer is zero points of intersection.

Explanation:

First, we can determine the slopes of the two lines. Line A has a slope of (change in y)/(change in x) = (-3 - 9)/(0 - (-4)) = -12/4 = -3. Line B has a slope of (3 - (-9))/(0 - 4) = 12/(-4) = -3. Since the slopes are equal, the lines are parallel and will never intersect. Therefore, the answer is a. zero points of intersection.

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The sum of the digits of the number 2016 is 9.What is the least number greater than 2016 whose sum of the digits is 9

Answers

Answer:

2025 if Im not wrong...

Step-by-step explanation:


I'm really confused on this one... plz help me!
~°~°~°~°~°~°~°~°~°~°~°~°~°~°~°~°~
Consider the situation where the Robinson family is driving home from visiting their relatives The table driving a certain amount of time, x shows how many miles, y, remain after Use the table, choose all that are correct.

A) The function that models the situation is y- 325 25x

B) The function that models the situation is y- 350-50x

C) The rate of change defined by the function is 50

D) The initial value defined by the function is 350

Answers

Answer: Choice B and choice D

The function that models the situation is y = 350 - 50x

The initial value defined by the function is 350

====================================================

Explanation:

Each time you increment (increase) x by 1/2 = 0.5 an hour, the y value drops by 25. So this means that each increase of 1 full hour means y drops by 50. The rate of change is -50, not positive 50, so this rules out choice C (which is fairly close but not quite there)

The initial value is 350 because we go backwards on the table. If x decreases by 0.5 hr, then y increases by 25 miles. So we add 25 to the y value in the first row to get 325+25 = 350 as our starting value. This is how far it is from the Robinson home to their relatives' house, which is why choice D is one of the answers.

The other answer is choice B because m = -50 is the slope or rate of change, and b = 350 is the starting value (y intercept), so y = mx+b turns into y = -50x+350 and that's equivalent to y = 350 - 50x. All I did was swap the values since we can add in any order. Because choice B is the proper function, this rules out choice A as an answer.

Final answer:

The function that models the situation is y = 350 - 50x. The rate of change defined by the function is 50. The initial value defined by the function is 350.

Explanation:

The function that models the situation is y = 350 - 50x.

B) The function that models the situation is y = 350 - 50x.

C) The rate of change defined by the function is 50.

D) The initial value defined by the function is 350.

To determine the function that models the situation, we can use the table provided.

The table represents the relationship between the amount of time, x, and the remaining distance, y, after driving for that amount of time.

Since the remaining distance decreases as the amount of time increases, we can conclude that the function is a linear function with a negative slope.

The slope represents the rate of change, which is the amount by which y decreases for each unit increase in x.

In this case, the rate of change is 50, meaning that for every hour of driving, the remaining distance decreases by 50 miles.

The initial value of 350 represents the distance remaining when no time has passed (x = 0).

This means that when the family starts their drive, they have 350 miles left to travel.

Therefore, option D is correct.

5y = 135 help me
what does y equal?

Answers

Answer:

27

Step-by-step explanation:

Solve for y:

5 y = 135

Divide both sides of 5 y = 135 by 5:

(5 y)/5 = 135/5

5/5 = 1:

y = 135/5

The gcd of 135 and 5 is 5, so 135/5 = (5×27)/(5×1) = 5/5×27 = 27:

Answer:  y = 27

Answer:

y = 27

Step-by-step explanation:

Divide both sides of the equation by 5.

[tex]\frac{5y}{5}[/tex] = [tex]\frac{135}{5}[/tex]

[tex]y = 27[/tex]

To check if this is true, substitute 27 back into the original equation.

[tex]5y=135[/tex]

[tex]5(27)=135[/tex]

[tex]135=135[/tex]

factor the expression using GCF 16p - 8

Answers

Answer:

8(2p-1)

Step-by-step explanation:

To factor the expression, we need to factor the terms

16p = 8*2*p

8 = 8*1

We can factor out an 8,  leaving what remains inside the parentheses

16p-8

8(2p-1)


Find the slope of the line passing through the pair of points. (−4, 5) and (0, 2)

A. undefined
B. 34
C. −34
D. 43

Answers

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (-4, 5) and (0, 2). Substitute:

[tex]m=\dfrac{2-5}{0-(-4)}=\dfrac{-3}{4}=-\dfrac{3}{4}[/tex]

Answer: C. -3/4

Slope of the line passing through the pair of points (−4, 5) and (0, 2) is option C. -3/4.

What is Slope?

Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.

Slope can also be defined as the tangent of the angle that the line is making with the positive X axis.

Given are two points on a line.

(−4, 5) and (0, 2)

We have to find the slope of the line.

Slope = Change in y coordinates / Change in x coordinates

          = (2 - 5) / (0 - -4)

          = -3/4

Hence the slope of the line through the two points is -3/4.

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11.REINFORCE The lengths of three sides of a triangle are 2x, 3x - 4, and x+4. Find a value of x that makes the triangle equilateral.

Answers

Answer:

x=4

Step-by-step explanation:

It suffices to equate any two sides and then check whether the solution is valid for the third side.

Taking 2x and 3x-4 and equating:

2x = 3x-4

x = 4

This means the sides are both of length 8. Now check whether for x=4 the third side is also of length 8:

x+4=4+4=8

which indeed works out confirming x=4 being a valid solution

Final answer:

To determine a value for x that results in an equilateral triangle with side lengths 2x, 3x - 4, and x + 4, we equate the three expressions and solve for x, finding that x = 4 satisfies the condition of equal side lengths.

Explanation:

To find a value of x that makes the triangle equilateral, we set all three sides equal to each other because an equilateral triangle has all sides of the same length. Given the side lengths as 2x, 3x - 4, and x + 4, we can set up two equations:

2x = 3x - 4

2x = x + 4

Solving the first equation for x gives us:

2x = 3x - 4
x = 4

Solving the second equation for x gives us:

2x = x + 4
x = 4

Both equations yield x = 4 as the solution. Therefore, if x is 4, the lengths of the sides of the triangle will be 8, 8, and 8 respectively, which satisfies the conditions of an equilateral triangle.

if D is the midpoint of line AC, C is the midpoint of line AB, and BD=12, what is the length of line AB

Answers

Look at the picture.

x + 2x = 12

3x = 12     divide both sides by 3

x = 4

AB = 12 + x

therefore AB = 12 + 4 = 16

Answer: AB = 16.

The volume of a small packing box is "3x2 + 3x" in3 smaller than a large packing box with a volume of "5x2 − 2x + 10" in3. Find a single expression that represents the size of a small packing box. A) 2x2 − 2x + 10 B) 2x2 − 5x + 10 C) 8x2 − 5x + 10 D) 8x2 + x + 10

Answers

Answer:

B

Step-by-step explanation:

subtract the volume of the small box from the large box, that is

5x² - 2x + 10 - (3x² + 3x)

= 5x² - 2x + 10 - 3x² - 3x ( collect like terms )

= 2x² - 5x + 10 → B



The answer is:

B. (5x2 − 2x + 10) − (3x2 + 3x) = 2x2 − 5x + 10)



(In terms of pi )what's the surface area of a cylinder with a 14cm diameter and a heigth of 18cm.

ive done the math and got 1099 or something but that isnt one of the options on my assignment.

Answers

Answer:

       = 1099  cm^2

Step-by-step explanation:

The surface area of a cylinder is found by using the formula

SA=2πrh+2πr^2

We know the diameter.  To find the radius, we take the diameter and divide by 2.

r =d/2

r =14 cm/2 = 7 cm

h = 18 cm

Substituting what we know

SA = 2 * pi * 18 * 7 + 2 * pi * (7)^2

    = 252 *pi + 2* pi *49

   = 252 pi + 98 pi

  = 350 * pi

Let pi be approximated by 3.14

 SA = 350 * 3.14

       = 1099  cm^2

Drag each expression to show whether it is equivalent to 8(t+8),8t +8, or neither

Answers

Answer:

Box-1:

Neither

Box-2:

[tex]8(t+8)[/tex]

Box-3:

[tex]8(t+8)[/tex]

Box-4:

[tex]8t+8[/tex]

Box-5:

Neither

Box-6:

[tex]8t+8[/tex]

Step-by-step explanation:

We can verify each box

Box-1:

[tex](8+t)+(8+8)[/tex]

we can simplify it by combining like terms

[tex]=8+t+8+8[/tex]

[tex]=8+t+16[/tex]

[tex]=t+24[/tex]

none of them matches

so, Neither

Box-2:

[tex]8t+64[/tex]

we can write as

[tex]8\times t+8\times 8[/tex]

now, we can factor out 8

[tex]8(t+8)[/tex]

Box-3:

[tex]8\cdot t+8\cdot 8[/tex]

we can factor out 8

[tex]8(t+8)[/tex]

Box-4:

[tex]4t+8+4t[/tex]

we can combine like terms

[tex]4t+4t+8[/tex]

[tex]8t+8[/tex]

Box-5:

[tex]8t+16[/tex]

we can factor common term

[tex]8\times t+8\times 2[/tex]

now, we can factor out 8

[tex]8(t+2)[/tex]

so, we can see that none are matching

so, Neither

Box-6:

[tex]4(2t+2)[/tex]

we can distribute 4

[tex]4\times 2t+4\times 2[/tex]

we can simplify it

[tex]8t+8[/tex]

simple answer

8(t+8):

(8 • t) + (8 • 8)

8t + 64.

8t + 8:

4t + 8 + 4t

4(2t + 2)

Neither:

(8 + t) + (8 + 8)

8t + 16

pls mark brainlist

PLEASE HELP!!!!!!!!!!!!

Which number(s) below belong to the solution set of the inequality? Check all that apply.

“5x>145”

A. 55

B. 31

C. 10

D. 8

E. 11

F. 29

Answers

x > 29 so,

A. 55

B. 31

Answer:

A.55

B.31

F.29

Step-by-step explanation:

NEED HELP ASAP! (Will give 24 points and mark Brainliest!)Malik wants to have at least $30 in his bank account so that he can purchase some songs. When he starts saving he has $8, he is given $7 by his aunt, and then earns another $10 mowing lawns. At least how much more does he need?

a) Write an inequality representing this situation.

b) Solve the inequality and interpret the solution.

c) Is the solution reasonable?

Answers

Answer:

x≥5

Step-by-step explanation:

A) 8+7+10+x ≥ 30

B) 8+7+10+x ≥ 30

First add 8, 7 and 10

8+7+10=25

25+x ≥ 30

Now subtract 25 from both sides (25-25) and (30-25)

x≥5



Answer:

I believe its B but im not to sure with this question sorry

Step-by-step explanation:

Y=x+3 and y=3x+6 system of substitution

Answers

[tex]\left \{ {{y=x+3} \atop {y=3x+6}} \right. \\\\ \left \{ {{y=x+3} \atop {3x+6=x+3}} \right. \\\\\left \{ {{y=x+3} \atop {3x-x=3-6}} \right. \\\\\left \{ {{y=x+3} \atop {2x=-3\ /:2}} \right. \\\\\left \{ {{x=-1.5} \atop {y=-1.5+3}} \right. \\\\\left \{ {{x=-1.5} \atop {y=1.5}} \right.[/tex]

[tex]\left\{\begin{array}{ccc}y=x+3&(*)\\y=3x+6&(**)\end{array}\right\\\\\text{Substitute}\ (*)\ \text{to}\ (**):\\\\x+3=3x+6\qquad\text{subtract 3 from both sides}\\\\x=3x+3\qquad\text{subtract 3x from both sides}\\\\-2x=3\qquad\text{divide both sides by (-2)}\\\\\boxed{x=-1.5}\\\\\text{Put the value of x to}\ (*)\\\\y=-1.5+3\\\\\boxed{y=1.5}\\\\Answer:\ \boxed{x=-1.5\ and\ y=1.5\to(-1.5;\ 1.5)}[/tex]

The doctor orders2cc of 2% lidocaine to be use as a loca anesthetic how many milliliter s will you draw

Answers

one may note that 1 CC, Cubic Centimeter, or 1 cm³, is actually equivalent to 1 mL, milliliter.

so 2 cc = 2 mL.

Answer:

2 mL

Step-by-step explanation:

Here cm³ and  mL are units of volume i.e., the three dimensional space enclosed by plane surfaces. m³ is the SI unit of volume. Liter (L) is also an accepted unit where

1 L = 0.001 m³

So 1 ml = 0.001 × 10⁻³ m³

1 mL³ = 10⁻⁶ m³             (1)

1 m³ = 10⁶ cm³

1 cm³ = 10⁻⁶ m³             (2)

From equation 1 and 2

1 mL = 1 cm³

1 mL = 1 cc

2 cc = 2 Cubic centimeter = 2 cm³

1 cc = 1 mL

So,

2 cc = 2 mL

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