Answer: The revenue can be $405 or it can be larger than this value.
In short, the revenue must be at least $405.
======================================
Explanation:
Let R be the possible revenue. We want the profit to be at least $250, so we want the profit to be 250 or more
Recall that profit is equal to revenue minus expenses, so
Profit = Revenue - Expenses
Profit = R - 155
The expression R - 155 represents the profit (R is just a placeholder for a number). We want R - 155 to be 250 or larger, so,
[tex]R - 155 \ge 250[/tex]
[tex]R - 155 \ge 250[/tex]
[tex]R - 155+155 \ge 250+155[/tex] add 155 to both sides
[tex]R \ge 405[/tex]
As long as the revenue is $405 or higher, then the profit will be at least $250
Final answer:
To meet a profit goal of at least $250 with expenses of $155, the friend must generate revenues of at least $405 in the first month.
Explanation:
To calculate the possible revenues needed to achieve at least a $250 profit for the first month, we need to consider both the expenses and desired profit. The calculation is straightforward: Revenue = Expenses + Desired Profit. Here, the expenses are $155, so the calculation is Revenue = $155 + $250, which equals $405. Therefore, to meet the profit goal of at least $250, your friend must generate revenues of at least $405 in the first month.
How much does the bag of peanuts weigh now?
Answer:
1/12
Step-by-step explanation:
subtract the two :)
6 and 8 need help please
Answer:
6. d.
8. see below
Step-by-step explanation:
6.
A large pizza costs $4.25 more than a medium pizza.
L = $4.25 + M
4 large & 6 medium cost $99.50.
4L + 6m = $99.50
Answer d.
8.
A large river runs right through a city called Chestnutville. There are many bridges and tunnels connecting the two sides of the river. The total number of bridges and tunnels is 15. The number of tunnels is 3 more than twice the number of bridges. How many bridges, b, are there in Chestnutville, and how many tunnels, t, are there in Chestnutville?
Tony bought 3 packs of pencils for $4 each and a pencil box for $7. Mario bought 4 binders for $6 each and used a coupon for $6 off. Write and evaluate expressions to find who spent more money.
Answer:
Tony
Step-by-step explanation:
Tony:
3 Packs = 12 dollars
1 Pencil Box = 7 dollars
Mario:
4 Binders = 24 dollars
-6.
12+7= 19
24-6=18
Tony spent more money.
Help me. Please give explanation. Thanks
Answer: x < 3
Step-by-step explanation:
NOTE: [tex]\sqrt{(x+5)^2} = |x + 5|[/tex]
Rewrite the equation:
| x + 5 | < | x + 1 |
Remember that absolute value makes the "inside" value positive, so we need to solve for 2 case of x + 5 (inside is positive or negative) and 2 cases of x + 1.
± (x + 5) < ± (x + 1)
Case 1: + +
x + 5 < x + 1
5 < 1
FALSE
Case 2: - -
-(x + 5) < -(x + 1)
x + 5 > x + 1 divided both sides by -1
5 > 1
TRUE so this works when both "insides" are negative
⇒ x + 5 < 0 and x + 1 < 0
x < -5 and x < -1
since it has to satisfy both, x < -5
Case 3: + -
x + 5 < -(x + 1)
x + 5 < -x - 1 distributed -1 on right side
2x + 5 < -1
2x < -6
x < -3
Case 4: - +
-(x + 5) < x + 1
-x - 5 < x + 1 distributed -1 on left side
-5 < 2x + 1
-6 < 2x
-3 < x
x > -3
This is a contradiction of Case 3 so need to choose a test point.
TEST POINTS (I choose -6, -4, and -2)
| -6 + 5 | < | -6 + 1 |
| -1 | < | -5 |
1 < 5
TRUE so x < -5 is valid
| -4 + 5 | < | -4 + 1 |
| 1 | < | -3 |
1 < 3
TRUE so x < -3 is valid
| -2 + 5 | < | -2 + 1 |
| 3 | < | -1 |
3 < 1
FALSE so x > 3 is NOT valid
Note that x < -3 includes all the values of x < -5, so x < -3 is the answer.
*******************************************************************************
This is a faster way to solve it. Thank you @proner26 !
| x + 5 | < | x + 1 |
(| x + 5 |)² < (| x + 1 |)²
x² + 10x + 25 < x² + 2x + 1
10x + 25 < 2x + 1
8x + 25 < 1
8x < -24
x < -3
Answer: x < -3
what is the quotient 5,008 and 16
Answer:
313
Step-by-step explanation:
Quotient - Division
5,008 ÷ 16 = 313
Hope this helps you! And btw, you can use a calulator. :D
Answer:
313
Step-by-step explanation:
5,008/16 equals 313
The product of the slopes of perpendicular lines (excluding vertical lines) always equals -1.
true
or
false
This is true. The slope of the perpendicular line is equal to the negative reciprocal. This means that you "flip" the fraction and multiply by negative 1. Since the reciprocal is also the multiplicative inverse (something you multiply by a number to get 1), and the signs are different (one is positive, one is negative) it equals -1.
Hope this helps!
The statement is true that the product of the slopes of perpendicular lines, excluding vertical lines, always equals -1. This is a basic rule in geometry, where two lines are perpendicular if their slopes multiply to -1.
Explanation:The statement that 'the product of the slopes of perpendicular lines (excluding vertical lines) always equals -1' is true.
In the coordinate system, two lines are perpendicular if the product of their slopes is -1. This is because the slope is a measure of the steepness of a line. Imagine you have two lines with slopes m1 and m2. If these lines are perpendicular to each other, then m1 * m2 = -1.
For example, if one line has a slope of 2 (m1 = 2), the line perpendicular to it will have a slope of -1/2 (since 2 * -1/2 = -1).
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a plane has 360 total seats, which are divided into economy class and business class. For every 13 seats in economy class, there are 5 seats in business class
how many seats are there in each class???
Answer:
260 in economy
100 in business
Step-by-step explanation:
ok so out of 18 seats 13 are economy and 5 are business and since 18 times 20 is 360 we multiply each of these by 20 so 13 times 20 is 260 20 times 5 is 100 there you go
What is the total cost of a purchase price of $2615 and a tax rate of 3%
Answer:
2693.45
Step-by-step explanation:
step 1 - 2615*3%=78.45
step 2 - 2615+78.45=2693.45
how many meters are in 5 millimeters are in 2 kilometers?
Answer:
5 mililmiters = 0,005 meters = 0,000005 kilometers
2 kilometers = 2000 meters
Step-by-step explanation:
km / hectometer / decameter / meter / dcm / centimeter / milimeter
1000 m / 100 m / 10 m < 1 > 0,1 m/ 0,01 m / 0,0001 m
1 meter = 0, 1 decimeters / 0, 01 centimeters /0, 000 1 millimeters
1 meter = 10 decameters / 100 hectometers / 1000 kilometers
so 5 millimeters = 0,005 meters = 0, 000 005 kilometers
so 2 km = 2 000 meters = 2 000 000 millimeters
the reference unit of measure is the meter.
I need help with this question
Answer:
Whats the question?
Step-by-step explanation:
What do you know about the solution(s) to the system of equations?
a) There is no solution.
b) The solution is (2, 0).
c) The solution is (0,−1).
d)There are infinitely many solutions.
Answer:
a) There is no solution
Step-by-step explanation:
what is an equivalent percent for 3/8
write the equation of the line that passes through the given points (0,-1) and (-5,-7) Simplify your answer
Answer:
y = 6/5 x-1 slope intercept form
6x-5y = 5 standard form
Step-by-step explanation:
We have the points (0,-1) and (-5,-7)
We can find the slope using
m = (y2-y1)/(x2-x1)
= (-7--1)/(-5-0)
= (-7+1)/(-5-0)
= -6/-5
= 6/5
We also have the y intercept ( when x=0) It is -1
We can use the slope intercept form of the equation y = mx+b
y = 6/5 x-1
Depending on what you mean when you say simplify your answer
We can put it in standard form ax+by = C
Multiply both sides by 5
5y =5* 6/5 x-1*5
5y = 6x-5
Subtract 6x from each side
-6x+5y = 6x-6x-5
-6x+5y = -5
Multiply by -1
6x-5y = 5
What is the initial value of the function represented by this table? (5 points)
x . y
0 . 5
1 . 9
2 . 13
Answer:
5 is the initial value
Step-by-step explanation:
From the table we can see that the values of y are increasing by 4
Lets use two points and find out slope
[tex]slope = \frac{y_2-y_1}{x_2-x_1}[/tex]
we use points (0,5) (1,9)
[tex]slope = \frac{9-5}{1-0}=4[/tex]
slope m= 5
Now we use y=mx+b equation
m= slope and b= y intercept, plug in (0,5) and find out b
y=4x+b
5= 4(0) +b
so b= 5
b=5 is the initial value of the function
Answer:
5 is the initial value
Step-by-step explanation:
From the table we can see that the values of y are increasing by 4
Lets use two points and find out slope
formula of slope
slope=m=[tex]\frac{y2-y1}{x2-x1}[/tex]
putting points (0,5) (1,9) in equation of slope
m=[tex]\frac{9-5}{1-0}[/tex]
slope m= 4
we know y=mx+b
m= slope and b= y intercept, plug in (0,5) and find out b
b=?
x=0
m=4
y=5
putting these values in y=mx+b
y=4x+b
5= 4(0) +b
so b= 5
b=5 is the initial value of the function
Ada and Steve spend a certain amount of money from their accounts each week at a pet shelter. The table shows the relationship between the amount of money (y) remaining in Ada's account and the number of weeks (x): Function 1: Number of Weeks (x) Amount Remaining (dollars) (y) 1 40 2 36 3 32 4 28 The equation shows the relationship between the amount of money, y, remaining in Steve's account and the number of weeks, x: Function 2: y = −5x + 40 Which statement explains which function shows a greater rate of change?
Answer:
Function 2 has a greater rate of change
Step-by-step explanation:
Function 1:
Number of Weeks (x) 1 2 3 4
Amount Remaining (dollars) (y) 40 36 32 28
We can find the slope by using
m = (y2-y1)/ (x2-x1)
= (40-36)/ (1-2)
= 4/-1
= -4
Function 2:
y = −5x + 40
Using y = mx+b
The slope is -5
Function 2 has a greater rate of change
Answer:
Function 2, because Steve spends $5 each week and Ada spends $4 each week
Step-by-step explanation:
I took the test
Name the rule for each statement: (SSS, ASA, SAS, AAS)
Answer:
SSS - Two triangles have to have 3 congruent pairs of sides.
ASA - Two triangles have to have 2 congruent pairs of angles with an included congruent pair of sides.
SAS - Two triangles have to have 2 congruent pairs of sides with an included congruent pair of angles.
AAS - Two triangles have to have 2 pairs of congruent angles with a non-included congruent pair of sides.
I need help please answer quickly!
4 7/12 ÷ 2/7 =
Answer:
2.04
Step-by-step explanation:
Which number is not equivalent to 3 2/3?
Answer:
b. 3 4/6 cant equal 3 2/3
Step-by-step explanation:
25 POINTS PLEASE HELP How do I solve
{y=2x-4; x+2y=12}
Substitute y = 2x - 4 to x + 2y = 12:
x + 2(2x - 4) = 12 use distributive property
x + (2)(2x) + (2)(-4) = 12
x + 4x - 8 = 12 add 8 to both sides
5x = 20 divide both sides by 5
x = 4
Put the value of x to the first equation:
y = 2(4) - 4
y = 8 - 4
y = 4
Answer: x = 4 and y = 4Answer:
x=4, y=4
Step-by-step explanation:
y=2x-4;
x+2y=12
We can use substitution since the first equation is solved for y
Where ever you see y in the second equation, replace it with 2x-4
x + 2(2x-4) = 12
Distribute the 2
x+4x-8 = 12
Combine like terms
5x-8=12
Add 8 to each side
5x-8+8=12+8
5x=20
Divide by 5
5x/5 = 20/5
x =4
We still need to solve for y
y = 2x-4
We know x =4
y = 2(4) -4
y = 8-4
y=4
Nate and Laura picked apples. Laura picked 1/2 as many as Nate picked. Together they picked 90 apples. How many did each of them pick?
Let n stand for the number Nate picked.
Equation:_______
How many apples did Nate pick?_________
How many apples did Laura pick?__________
The answers to all the parts are -
Equation : (1/2)n + n = 90
Apples picked up by Nate : 60
Apples picked up Laura : = 30
What is a expression? What is a mathematical equation? What is Equation Modelling?
A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have Nate and Laura picked apples. Laura picked 1/2 as many as Nate picked. Together they picked 90 apples.
Let [n] stand for the number Nate picked. Then, the number of apples picked up by Laura will be (1/2)n. Then, we can write -
Equation : (1/2)n + n = 90
1.5n = 90
n = (90/1.5)
n = 60
Apples picked up by Nate : 60
Apples picked up Laura : 60/2 = 30
Therefore, the answers to all the parts are -
Equation : (1/2)n + n = 90
Apples picked up by Nate : 60
Apples picked up Laura : = 30
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What are the excluded values x+2/y(z-5)
Answer:
y = 0 and z = 5
Step-by-step explanation:
the denominator of the expression cannot equal zero as this would make the expression undefined Equating the denominator to zero and solving gives the values that y and z cannot be
solve y(z - 5) = 0
equate each factor to zero and solve
y = 0 ← excluded value
z - 5 = 0 ⇒ z = 5 ← excluded value
I need the ones circled on there
The formula to convert F° to C° is C = 5/9(F-32). Convert 50°C to °F.
Answer:
50 C = 122 F
Step-by-step explanation:
50°C × 9/5 +32
Answer:
50°C = 122°F.
Step-by-step explanation:
Given : The formula to convert F° to C° is [tex]C = \frac{5}{9}( f - 32)[/tex].
To find : Convert 50°C to °F
Solution : We have given
[tex]C = \frac{5}{9}( f - 32)[/tex].
On multiplying by 9 both sides.
[tex]9 C = 5( f - 32)[/tex].
On dividing both sides by 5
[tex]\frac{9C}{5} =( f - 32)[/tex].
On adding both sides by 32
[tex]\frac{9C}{5}+ 32 = f[/tex].
Then plug C = 50°
[tex]\frac{9 * 50 }{5}+ 32 = f[/tex].
[tex]\frac{450}{5}+ 32 = f[/tex].
[tex] 90+ 32 = f[/tex].
[tex] 122°= f[/tex].
Therefore, 50°C = 122°F.
A bank offers an APR of 6.4% compounded daily. The annual percentage yield is what percentage?
Answer:
The annual percentage yield is 6.609%
Step-by-step explanation:
Let's assume
amount invested=$1
so, P=1
APR of 6.4% compounded daily
so, r=6.4%=0.064
n=365
t=1
now, we can use formula
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
now, we ca plug values
[tex]A=1(1+\frac{0.064}{365})^{365\times 1}[/tex]
we get
[tex]A=1.06609[/tex]
now, we can find APY
[tex]APY=\frac{A-P}{P}\times 100[/tex]
now, we can plug values
[tex]APY=\frac{1.06609-1}{1}\times 100[/tex]
we get
APY is 6.609%
Answer:
The annual percentage yield is 6.609%.
Step-by-step explanation:
The annual percentage yield is calculated by:
APY = [tex](1+\frac{r}{n} )^{n} -1[/tex]
where r is the percentage rate and n refers to the number of times compounded.
So, r = [tex]\frac{6.4}{100}[/tex] = 0.064
Since the APR is compounded daily,
n = 365
Now,
APY = [tex](1+\frac{0.064}{365} )^{365} -1[/tex]
= 6.609% approximately
Susannah has a high-yield savings account into which she deposits $120 each month. At the beginning of the year, Susannah's account balance is $800. In the equation below, x represents the amount of time, and y represents Susannah's account balance.
y = $120x + $800
Not including interest, what will her account balance be at the end of the year?
A. $2,240
B. $2,300
C. $2,000
D. $1,440
Answer:
A - $2240
Step-by-step explanation:
120(12) + 800 =
1440 + 800 = 2240
Round the fraction to the nearest 1/2.
1/9
A 0
B 1/2
C 1
Answer:
0
Step-by-step explanation:
while rounding the fraction to half,it is to remember that
anything less than 1/4 can be rounded to zero.
anything equal or 1/4 or greater and less than 3/4 can be rounded to 1/2.
anything greater than 3/4 and less than 1 can be rounded to one.
so,1/9<1/4
the value is 0.
Final answer:
The fraction 1/9, when rounded off to the nearest 1/2, is closest to 0, so it rounds down to 0.
Explanation:
To round the fraction 1/9 to the nearest 1/2, you must decide which multiple of 1/2 (0, 1/2, or 1) it is closest to. Since 1/9 is less than 1/2, the first decision is whether it's closer to 0 or to 1/2. Since 1/9 is much smaller than 1/2, it makes sense to round it down to 0. Therefore, when rounding 1/9 to the nearest 1/2, the answer is 0.
Tell whether the fractions are equivalent 1/2 2/5
Answer:
These fractions are not equivalent.
Step-by-step explanation:
To tell whether the fractions are equivalent, get a common denominator.
The common denominator is 10
1/2 *5/5 = 5/10
2/5 *2/2 = 4/10
5/10 ≠4/10
These fractions are not equivalent.
Evaluate the expression for c = -9. -c = _____
Answer:
- c = 9
Step-by-step explanation:
given c = - 9 ← multiply both sides by - 1
c × - 1 = - 9 × - 1 ⇒ - c = 9
The density of apple juice is 1.04 grams per cm3. The density of fruit syrup is 1.6 grams per cms The density of sparkling water is 0.99 grams per cm3. 35 cm of apple juice are mixed with 25 cm3 of fruit syrup and 270 cm3 of sparkling water to make a drink with a volume of 330 cm3. Work out the density of the drink. Give your answer correct to 3 decimal places.
Answer:
Density = 1.042 grams /cm^3
Step-by-step explanation:
Work out the mass of each of three in a unit volume (cm^3)
Givens
Apple Juice = 1.04 grams / cm^3Fruit Syrup = 1.6 grams / cm^3Sparkling water = 0.99 grams / cm^3Mixture
35 cm^3 Apple Juice = 1.04 grams / cm^3 * 35 cm^3 = 36.4 grams
25 cm^3 Fruit = 1.6 grams/cm^3 * 25 cm^3 = 40 grams
270 cm^3 water = 0.99 * 270 267.3 grams
Total Mixture
Volume = 25 + 35 + 270 = 330 cm^3Mass = 36.4 + 40 + 267.3 = 343.7 gramsDensity
Density = mass / volume = 343.7 / 330 = 1.0415
Answer
1.042 grams / cm^3
The density of the resulting drink is; 1.042 grams per cm³.
To find the density of the resulting drink, we need to first determine the mass of each of the constituents.
The masses of the constituents can be found as follows;
Mass = density × volumeFor apple juice;
Mass(a) = 1.04 × 35 = 36.4gramsFor fruit syrup;
Mass(f) = 1.6 × 25 = 40grams.For sparkling water;
Mass(s) = 0.99 × 270 = 267.3gramsTherefore, the total mass of the drink is;
= 36.4 + 40 + 267.3 = 343.7 grams.And, since the total volume of the drink is 330cm³
Density of the drink = 343.7 grams/ 330 cm³Density of the drink = 1.042 grams per cm³.
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What is the value of x? Show your work to justify your answer.
2. What is the value of the exterior angle? Show your work to justify your answer please!
Answer:
[tex]x^{\circ}=56^{\circ};[/tex]
The exterior angle has measure [tex]116^{\circ}.[/tex]
Step-by-step explanation:
Angle QRP and angle with measure of (2x+4)° are supplementary, then
[tex]m\angle QRP+(2x+4)^{\circ}=180^{\circ},\\ \\m\angle QRP=180^{\circ}-(2x+4)^{\circ}.[/tex]
The sum of the measures of all interior angles of the triangle is equal to 180°, then
[tex]m\angle PQR+m\angle QRP+m\angle RPQ=180^{\circ},\\ \\x^{\circ}+180^{\circ}-(2x+4)^{\circ}+60^{\circ}=180^{\circ},\\ \\x^{\circ}-2x^{\circ}=-60^{\circ}+4^{\circ},\\ \\-x^{\circ}=-56^{\circ},\\ \\x^{\circ}=56^{\circ}.[/tex]
The exterior angle has measure
[tex](2\cdot 56+4)^{\circ}=116^{\circ}.[/tex]
Answer:
x=56 and the exterior angle is 116
Step-by-step explanation:
We will call the unknown angle in the triangle y. Angle y and the angle (2x +4) form a straight line so they make 180 degrees.
y + 2x+4 =180
Solve for y by subtracting 2x+4 from each side.
y + 2x+4 - (2x+4) =180 - (2x+4)
y = 180-2x-4
y = 176-2x
The three angles of a triangle add to 180 degrees
x+ y+ 60 = 180
x+ (176-2x)+60 = 180
Combine like terms
-x +236=180
Subtract 236 from each side
-x+236-236 = 180-236
-x = -56
Multiply each side by -1
-1*-x = -56*-1
x=56
The exterior angle is 2x+4. Substitute x=56 into the equation.
2(56)+4
112+4
116