Jaimie swims 12 the length of the swimming pool every 14 of a minute. Then in one minute, he will swim = 14/12=1.16 So, he will be able to swim 1.16 length in 1 minute.
Is 121 an irrational number?
Answer:
121 is a rational number because it can be expressed as the quotient of two integers: 121/ 1
Step-by-step explanation:
The number 121 is not a irrational number
How to determine the type of the numberFrom the question, we have the following parameters that can be used in our computation:
The number 121
When evaluated, we have
The number 121 = 121
The above number is represented by the quotient of 2 integers
using the above as a guide, we have the following:
We can conclude that the number is a rational number
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Megan purchased a new gadget for her technology hobby. She plans to sell it sometime in the future, however, its value depreciates monthly. The expression below shows the depreciated sales value of the gadget: 2020 – 22m What does the variable of the expression represent? The monthly depreciation value of the gadget. The amount of money Megan will get when she sells the gadget. The number of months Megan will wait to sell the gadget. The original value of the gadget.
Answer:
3. The number of months Megan will wait to sell the gadget.
Step-by-step explanation:
We have been given that Megan purchased a new gadget for her technology hobby. She plans to sell it sometime in the future, however, its value depreciates monthly.
The expression below shows the depreciated sales value of the gadget: [tex]2020-22m[/tex]
From above expression we can see that gadget's original value is $2020 and its value falls by $22 every month and m represents the number of months after which Megan will sell her gadget.
Therefore, the variable m represents the number of months Megan will wait to sell the gadget and 3rd option is the correct choice.
The variable m represents the number of months Megan will wait to sell the gadget and 3rd option is the correct choice. The variable m in the expression 2020 – 22m represents the number of months Megan will wait to sell the gadget.
The original value of the gadget is 2020, and the monthly depreciation value is 22.
So, the expression 2020 – 22m represents the amount of money Megan will get when she sells the gadget after m months.
If Megan waits for 0 months to sell the gadget, then m = 0 and she will get
2020 – 22 * 0 = $2020.
If Megan waits for 1 month to sell the gadget, then m = 1 and she will get
2020 – 22 * 1 = $1998.
Therefore, the variable m in the expression 2020 – 22m represents the number of months Megan will wait to sell the gadget.
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A train went 224 miles in 4 hours. A jet is ten times as fast as the train. Find the jet’s speed. plz answer ASAP
Answer:
560 miles per hour
Step-by-step explanation:
First, what you do is divide 224 by 4.
224 ÷ 4 = 56
You do this because you need to find the rate it goes in one hour.
Next, you do 56 times 10.
56 × 10 = 560
Hope that helps!
560miles per hour is the jets speed .
What is Speed?Speed is the time rate at which an object is moving along a path,
Given,
A train went 224 miles in 4 hours
A jet is ten times as fast as the train.
We need to find the jets speed.
Speed = Distance / time
Train speed=224/4
=56miles/hour
So train travels 56 miles in one hour.
As given, A jet is ten times as fast as the train
So we have to multiply 10 with the 56
10×56
560miles per hour
Hence, 560miles per hour is the jets speed .
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If the original price is $23.99 and the mark down is 44% what is the sale price
Answer:
The sale price is $13.43
Step-by-step explanation:
In order to find the sale price of an item, we multiply it by the remaining percentage of cast left. Since we are subtracting 44% of the cost, that means that we are paying 56% of it. Therefore, we can multiply the cost by 56%
23.99 * .56 = $13.43
Answer: $13.43
Step-by-step explanation:
make your 22% a decimal by dividing it by 100 equaling 0.22 then since its markDOWN you subtract 1.00 - 0.22 equaling 0.88 then multiply 0.88 by $23.99 which is supposed to equal $13.43
what is 2.1x(1+4.2x)=5.3
Simplifying
2.1x + -1(1 + 4.2x) = 5.3
2.1x + (1 * -1 + 4.2x * -1) = 5.3
2.1x + (-1 + -4.2x) = 5.3
Reorder the terms:
-1 + 2.1x + -4.2x = 5.3
Combine like terms: 2.1x + -4.2x = -2.1x
-1 + -2.1x = 5.3
Solving
-1 + -2.1x = 5.3
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '1' to each side of the equation.
-1 + 1 + -2.1x = 5.3 + 1
Combine like terms: -1 + 1 = 0
0 + -2.1x = 5.3 + 1
-2.1x = 5.3 + 1
Combine like terms: 5.3 + 1 = 6.3
-2.1x = 6.3
Divide each side by '-2.1'.
x = -3
Simplifying
x = -3
Hope i was helpful!
Complete this sentence: The Longest side of a triangle is always opposite the _________.
The longest side of a triangle is opposite the largest interior angle, same goes to the opposite. The shortest side of a triangle is opposite the smallest interior angle.
Hope this helps! <3
Answer:
Largest angle
Step-by-step explanation:
In any triangle, the longest side is opposite the largest angle. The smallest side is opposite the smallest angle.
What type of correlation is suggested by the scatter plot?
Answer: no correlation is suggested bc it's al over the graph or the scatter plot or whatever u wanna call it. but there is no correlation.
Step-by-step explanation: hope this helps ;D
Is (0,0) a solution to this system? y ≥ x^2 - 4 y < 2x - 1
A. Yes. (0,0) satisfies both inequalities.
B. No. (0,0) satisfies y < 2x - 1 but does not satisfy y ≥ x^2 - 4.
C. No. (0,0) does not satisfy either inequality.
D. No. (0,0) satisfies y ≥ x^2 - 4 but does not satisfy y < 2x - 1.
The inequality y ≥ x^2-4 satisfies (0,0) but the inequality y < 2x-1
does not satisfy (0,0).
Finding solution of both the inequalities:Consider the inequality y ≥ x^2-4 -------(i)Substitute (x,y)= (0,0) in the above inequality
0 ≥ (0^2)-4
0 ≥ -4
The above inequality is true.
Hence, (0,0) is the solution of inequality (i)
Consider the inequality y < 2x-1 ---------(ii)Substitute (x,y)= (0,0) in the above inequality
0 < 2(0) - 1
0 < -1
The above inequality is not true.
Hence (0,0) does not satisfy the above inequality (ii).
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Write as a numeral: 200,000+20,000+3,000+200+20+8
[tex]200,000+20,000+3,000+200+20+8=223,228\\\\200,000\\.\ 20,000\\.\ \ 3,000\\.\ \ \ \ \ 200\\.\ \ \ \ \ \ \ 20\\\underline{+\qquad\ 8}\\223,228[/tex]
A restaurant reports a net income of -1,242 over a three month period. What is the average income per month for that period, (Please give me the answer)
Answer:
-$414 per month
Step-by-step explanation:
If the net income over three months is -1242
Take that amount and divide by 3
-1242/3
-414
The sum of two numbers is 35. Their difference is 17. Find the numbers.
Answer:
x = 26, y = 9
Step-by-step explanation:
Let one number be x, and the other be y. Set the equations:
x + y = 35
x - y = 17
First, isolate the x in the first equation. Subtract y from both sides
x + y (-y) = 35 (-y)
x = 35 - y
Plug in 35 - y for x in the second equation
(35 - y) - y = 17
35 - 2y = 17
Isolate the variable. Note the equal sign, what you do to one side you do to the other side. Do the opposite of PEMDAS. First, subtract 35 from both sides
35 (-35) - 2y = 17 (-35)
-2y = -18
Isolate the variable (y). Divide -2 from both sides
(-2y)/-2 = (-18)/-2
y = -18/-2
y = 9
Plug in 9 for y in one of the equations.
x + y = 35
x + 9 = 35
Isolate the variable (x). Subtract 9 from both sides
x + 9 (-9) = 35 (-9)
x = 35 - 9
x = 26
~
multiplying integers
3(-7)
Answer:
-21
Step-by-step explanation:
3(-7)
3*7 =21
A positive times a negative is a negative
-21
Answer:
3x-7=21 ( i think )
Step-by-step explanation:
when you have a parenthesis beside a number you always multiply. A negative times a positive is a negative,
what is the algebr expression for the following word phrase: the produc of 4 more then x and 6?
a)4(x+6)
b) 6(x+4)
c)6+(x+4)
d)6-(x+4)
Answer:
b) 6(x + 4)
Step-by-step explanation:
The given word phrase "The product of 4 more than x and 6"
4 more than x = 4 + x
The product "4 + x" and 6
6(x + 4)
Answer: b) 6(x + 4)
The area of the sheet of paper is square inches
Which expression is equivalent to 7(a+2 when a=6
Answer:
56
Step-by-step explanation: You have to substitute 6 for a because it says, "Which expression is equivalent to 7(a+2) when a=6"
7(a + 2)
7(6 + 2)
42 + 14
= 56
To find the equivalent expression to 7(a+2) when a=6, substitute the value of a into the expression to get 56.
To find the expression equivalent to 7(a+2) when a=6, we substitute the value of a into the expression:
7(a+2) = 7(6+2)
7(6+2) = 7(8)
7×8 = 56
Therefore, the expression equivalent to 7(a+2) when a=6 is 56.
HELP PLEASE! 49 POINTS!
show work!!!!!!
Answer:
1. y = 2/3 x +2
2. y = -x -8
Step-by-step explanation:
The slope intercept form of a line is y = mx+b where m is the slope and b is the y intercept
1. y = 2/3 x +2
2. y = -x -8
ANSWER:
1. y = 2/3x + 2
2. y = -1x + -8
ABOUT SLOPE INTERCEPT FORM:
y = mx + bm represents the slopeb represents the starting point AKA the y - interceptHope this helps you!!! :)
What is the sum of the first seven terms of the geometric series? 3 + 12 + 48 + 192 + ... 4,372 12,288 16,383 65,535
Answer:
16,383 or C
Step-by-step explanation:
Answer:
Option 3rd is correct.
Step-by-step explanation:
Given: 3 + 12 + 48 + 192 + .......
We have to find : Sum of first seven term of the given Geometric series.
First term , a = 3
Common ratio , r = [tex]\frac{12}{3}=4[/tex]
Sum of the n term of series, [tex]S_n=\frac{a(1-r^n)}{1-r}[/tex]
So,
[tex]S_7=\frac{3(1-4^7)}{1-4}[/tex]
[tex]S_7=\frac{3(1-4^7)}{-3}[/tex]
[tex]S_7=-(1-16384)[/tex]
[tex]S_7=-(-16383)[/tex]
[tex]S_7=16383[/tex]
Therefore, Option 3rd is correct.
What is the probability that both spinners will land on 2? AMSWERS- A)1/12 B)1/6 C)1/4 D)1/3
ONE GRAPH IS 1,2,3 AND THE OTHER GRAPH SHOWS 1,2,3,4 OUTCOMES
Answer:
The probability that both spinners will land on 2 is A) 1/12.
Step-by-step explanation:
To get this answer you must:
-First, take the total number of outcomes and set that as you denominator, which would be 3.
-Since, your looking for the probability of two, and there is only one two you would put one as your numerator. By now you should have a fraction of: 1/3.
-Next, do the same exact thing for the next graph. Take the total number of outcomes for the graph which is 4, and set that as your denominator.
-Then, set one as your numerator since there is only one two in the other graph. You should now have a second fraction of: 1/4.
-Lastly, multiply both of the fractions. Multiply both of the numerator together and you should get one. Then, multiply both of the numbers which would result in you getting a number of 12.
1/3(1/4) = 1/12.
he revenue, in dollars, of a company that produces jeans can be modeled by 2x2 + 17x – 175. The cost, in dollars, of producing the jeans can be modeled by 2x2 – 3x – 125. The number of pairs of jeans that have been sold is represented by x. The profit is the difference between the revenue and the cost, 20x – 50. If 75 pairs of jeans are sold, what is the company’s profit?
Answer:
So, the company profit if 75 pairs of jeans are sold is $1450
Step-by-step explanation:
The number of pairs of jeans that have been sold is represented by x
We are given
The profit is the difference between the revenue and the cost , 20x-50
Let's assume profit function as P(x)
[tex]P(x)=20x-50[/tex]
There are 75 pairs of jeans
so, x=75
we can plug x=75 and find profit
[tex]P(75)=20\times 75-50[/tex]
[tex]P(75)=1500-50[/tex]
[tex]P(75)=1450[/tex]
So, the company profit if 75 pairs of jeans are sold is $1450
Given that lines a and b are parallel, what angles formed on line b when cut by the transversal are congruent with ∠3?
A) ∠5 and ∠6
B) ∠5 and ∠7
C) ∠6 and ∠7
D) ∠6 and ∠8
Answer:
C) ∠6 and ∠7
Step-by-step explanation:
We have been given that lines a and b are parallel. We are asked to find the angle on line b that will be congruent to angle 3.
We can see that angle 3 is under the line a and on the left side of transversal.
We know that the corresponding angles and alternate interior angles formed by two parallel lines are equal.
We can see that angle 7 corresponds to angle 3 and angle 6 is alternate interior angle of angle 3.
Therefore, angle 7 and angle 6 will be congruent with angle 3 and option C is the correct choice.
What number is 0.95 of 3500
Answer:
Alright well Convert fraction to an decimal, then multiply by 100
0.02714285% Hope this helps have a nice day :)
Step-by-step explanation:
Are the equations 2x + 14 = 8 and x = -3 equivalent? Explain.
Answer:
They are equivalent
Step-by-step explanation:
2x+14 = 8
Lets solve for x
Subtract 14 from each side
2x+14-14 = 8-14
2x = -6
Divide by 2
2x/2 = -6/2
x = -3
They are the same
Answer:
Yes
Step-by-step explanation:
Solving for 2x+14=8
Subtract 14 on both sides: 2x= 8-14
2x = -6
Divide by 2: x = -3
-3 = -3
Hope this helps!!
There are 40 girls and 32 boys who want to participate in the relay race. If each team must have the same number of girls and boys, A) what is the greatest number of teams that can race? B) How many boys and girls will be on each team?
Answer:
8 teams
5 girls and 4 boys
Step-by-step explanation:
To determine how many teams we can have , we need to determine the greatest common factor.
girls:40 = 5*8
boys:32 = 4*8
The greatest common factor is 8
So we will have 8 teams
There will be 5 girls and 4 boys on each team
The quadrilaterals ABBCD
and PQRS
are similar.
Find the length
of X
.
Final answer:
To find the length of X, we can use the concept of corresponding sides in similar figures. By establishing the ratio between corresponding sides AB and PQ, we can find the length of X. The length of X is found to be 2 units.
Explanation:
In order to find the length of X in the similar quadrilaterals ABBCD and PQRS, we need to find the corresponding sides that are proportional to each other. Let's say AB represents a side of ABBCD and PQ represents the corresponding side of PQRS. If AB is 6 units long and PQ is 3 units long, then the ratio of AB to PQ is 6:3, which simplifies to 2:1. Since the lengths of corresponding sides in similar figures are proportional, if AB has a length of 4 units, then PQ would have a length half of that, which is 2 units. Therefore, the length of X is 2 units.
Brandon buys a radio for $46.49 in a state where the sales tax is 7%.
Answer:
Brandon pays $49.74 in total
Step-by-step explanation:
$46.49 x 1.07 = $49.74
Rex mixed x liters of fruit syrup with y liters of water to make a fruit punch. Three times the number of liters of water he mixed was 6 more than twice the number of liters of syrup he mixed. The total number of liters of syrup and water he mixed was 7 liters. Which graph best shows the number of liters of fruit syrup and water that Rex added to make the fruit punch?
Answer:
the solution is (3,4) (the second one)
Step-by-step explanation:
The correct graph is attached to the answer.
The amount of fruit syrup Rex added is: 3 liters
and the amount of water he added is: 4 liters.
Step-by-step explanation:x denote the amount of fruit syrup added and y denote the amount of water added.
It is given that:
Three times the number of liters of water he mixed was 6 more than twice the number of liters of syrup he mixed.
i.e. the equation that satisfies this condition is:
[tex]3y=2x+6\\\\i.e.\\\\2x-3y=-6-----------(1)[/tex]
i.e. the graph of this equation is a line that passes through (-3,0) and (0,2)
Also, The total number of liters of syrup and water he mixed was 7 liters.
Hence, the equation is:
[tex]x+y=7------------(2)[/tex]
i.e. the graph of this equality is a line that passes through (7,0) and (0,7)
Also, from equation (2) we have:
[tex]x=7-y[/tex]
Now, on putting this value of x in terms of y in equation (1) we get:
[tex]2(7-y)-3y=-6\\\\i.e.\\\\14-2y-3y=-6\\\\i.e.\\\\14-5y=-6\\\\i.e.\\\\14+6=5y\\\\i.e.\\\\5y=20\\\\i.e.\\\\y=4[/tex]
Also, on putting the value of y in equation (2) we get:
[tex]x=3[/tex]
Hence, the solution to the system of linear equation is:
(3,4)
how to solve 18 + 3(9f-13)
Answer:
Distribute so it would be 18+27f-39
Step-by-step explanation:
Step 1: Distrbute 3 into (9f - 13)
3 • 9f = 27f
3 • 13 = 39
18 + 27f - 39
Step 2: Solve like-terms
(18 and 39 are the only like terms. 27f and 39 aren't like terms since 39 doesn't have a variable therefore, you can't solve 27f - 39)
39 - 18 = 21
ANSWER:
27f - 21
Hope this is correct!
- justy⊕∪rultimαtefαngirlPoint M is between points L and N on segment LN. LM=5x, MN=2x+4, and LN=10x-16
Use the information to solve for x, and then find LN, LM, and MN.
Answer:
x= 6.6
LM= 33
MN= 17.2
LN=50
Step-by-step explanation:
10x-16= 5x+2x+4 (LN=LM+MN)
10x-16=7x+4
3x-16=4
3x=20
x=6.6
then plug 6.6 back into equation and round to the nearest whole number.
An office building casts a shadow that is 55 m long. At the exact same time, a 5 m tree casts a shadow that is 1.1 m long. Use similar triangle ratios, to calculate the height of the office building.
The ratio of the triangle is 55/1.1, which is 50/1.
This means that the building is 50/1 = x/5
x = 250
The office building is 250 m tall.
The height of the office building is calculated using similar triangle ratios, by setting up a proportion between the tree's dimensions and the building's shadow, and solving for the building's height to get 250 meters.
To calculate the height of the office building using similar triangle ratios, compare the tree's height and shadow length to those of the building. Since the tree is 5 m tall and casts a 1.1 m long shadow, we can set up a proportion with the building's shadow, which is 55 m long.
Step-by-step calculation:
Write the proportion using the tree's height and shadow: 5 m (tree height) / 1.1 m (tree shadow) = building height / 55 m (building shadow).
Cross multiply to find the building's height: 5 m × 55 m = 1.1 m × building height.
Perform the calculations: 275 m² = 1.1 m × building height.
Divide both sides by 1.1 m to solve for building height: building height = 275 m² / 1.1 m.
Complete the division: building height = 250 m.
Jorge wrote the expression x + x + x + x + 3 to represent the sequence shown in the diagram at right. Does his expression make sense? Explain.
Answer:
Step-by-step explanation:
no because x can equal anything. It should at least write down a second number for it to be solved correctly.