A teacher is buying supplies for an upcoming art project. She buys x bottles of paint for $1.29 each. She buys 8 more canvases than bottles paint for $1.89 each. Her total pretax cost is $37.38. How many of each item is she buying?

Answers

Answer 1

Answer:

She is buying 7 bottles and 15 canvases of paint

Step-by-step explanation:

Answer 2

Answer:

7 bottles of paint and 15 canvases

Step-by-step explanation:

I'm letting x stand for the number of bottles of paint and y stand for the number of canvases

1.29x+1.89y=37.38

and y=x+8

Since the y value is isolated I can just substitute the right side of the y= equation into the original like so

1.29x+1.89(x+8)=37.38

I then distributed the 1.89 to each of the terms in the parentheses

1.29x+1.89x+15.12=37.38

I then combined like terms to get

3.18x+15.12=37.38

Then you subtract 15.12 from both sides to get

3.18x=22.26

and last we divide both sides by 3.18 to get

x=7

Now that we have x, we still need to solve for y, so I take the original equation y=x+8 and substitute in the value we solved for x to get

y=7+8

y=15

Don't forget the labels you gave each variable earlier in the problem when answering!


Related Questions

PLEASE HELP IT’S DUE TMR
you only have to answer F

Answers

Answer:

1 bat : 0 hits

Step-by-step explanation:

To get this unit rate all you have to do is divide both sides by 4.

(4/4) : (0/4) = 1:0

We get the same number of hits as in the original problem because 0 divided by any number (other than 0) will always equal 0.

Can I get brainliest please?

On Saturday morning, Ahmed decided to take a bike ride from one end of the 15-mile bike trail to the other end of the bike trail and back. His average speed the first half of the ride was 2 mph faster than his speed on the second half. Find an expression for Ahmed's total travel time. If his average speed for the first half of the ride was 12 mph, how long was Ahmed's bike ride? ​

Answers

The expression which relates the total time taken and the time taken for the trip is [15s + 15(s+2)] / s² + 2s and 2.32 hours respectively.

Travel time = distance ÷ speed

Second half of the trip :

Speed = s mph

Distance covered = 15 miles

Time taken for second half of trip :

Time taken = 15 / s

First half of the trip :

Speed = s + 2 mph

Time taken for first half of trip :

Time taken = 15 / (s+2)

Total time taken :

First half + second half

15/(s+2) + 15/s = [15s + 15(s+2)] / s² + 2s

B)

If s = 12

Substitute s = 12 into the expression :

[15(12) + 15(12+2)] / 12² + 2(12)

[180 + 210] / 144 + 24

390 / 168

= 2.32 hours

Therefore, the total time taken is 2.32 hours.

Learn more : https://brainly.com/question/18796573

Find the selling price of a book with an original price of $49.95 and a 5% tax rate.please be specific on how the answer is the answer pls help me

Answers

Step-by-step explanation:

$52.45

49.95×.05

then add that result to 49.95= answer


HELP 20 POINTS Lines j and k are shown in the diagram below. Some of the angles created when the lines are cut by a transversal are labeled in the diagram.

Answers

Answer: A

Step-by-step explanation:

what’s the LCM for 22, 44 show your work

Answers

The Lowest common multiple of 22 and 44 would be 22 because each of the numbers are divisible by it. So 22 / 22 = 1 and 44 / 22 = 2


Any answers for this?

Answers

Answer:

D(t) = 2,280 - 60t

for D(15) compare the eqns and substitute the value of t.

D(15) = 2,280 - 60(15)

D(15) = 1,380 miles.

In the context of the qn, the Chang family travels 1,380 miles in 15 hours.

PLZZ HELP REALLY QUICK QUICKK QUICKKK HELPP

Answers

Answer:

$1.62

Step-by-step explanation:

1. To find how much Erin spent, we have to multiply 0.54 by 3.

[tex]0.54 * 3[/tex] [tex](0.5*3)+(0.04*3)[/tex] [tex]1.5 + 0.12[/tex] [tex]1.62[/tex]

Therefore, Erin spent $1.62.

)) A rectangle has an area of 117.8 square kilometers and a height of 9.5 kilometers. What
is the length of the base?
kilometers

Answers

Answer:

yes you use kilometers

Step-by-step explanation:

which system represents the graph?

A. y + 2x = 12
y = x + 3
B. y = -2x + 10
y = 2
C. x + y = 3
y = -3 (2x - 1)
D. y = 2/3x
y = 5/3x - 3

Answers

Answer: A

Because y =x + 3 shows there’s a point at (0,3) and y + 2x = 12 solves to y = -2x + 12 meaning there’s a point at (0,12) and the graph shows that

An object is launched at 9.8 meters per second (m/s) from a 308.7-meter tall platform. The function that represents the object's height s at time t seconds after launch is
s(t) = −4.9t2 + 9.8t + 308.7,
where s is in meters. When does the object strike the ground?

Answers

this is the full answer for you're Q

please give me good

The time taken by the object to hit the ground will be 9 seconds.

What is a quadratic equation?

A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

Given that an object is launched at 9.8 meters per second (m/s) from a 308.7-meter tall platform. The function that represents the object's height s at time t seconds after launch is

s(t) = −4.9t²+ 9.8t + 308.7

To find the time taken put the function equal to zero.

−4.9t²+ 9.8t + 308.7 = 0

t² - 2t - 63 = 0

t² - 9t + 7t - 63 = 0

t ( t - 9 ) +7 ( t - 9 ) = 0

( t - 9 ) ( t + 7 ) = 0

t = 9 and -7(ignore)

t = 9 seconds

Therefore, the time taken by the object to hit the ground will be 9 seconds.

To know more about a quadratic equation follow

https://brainly.com/question/2264627

#SPJ2

Is each number correctly expressed in scientific notation? Choose Yes or No.
Number Scientific Notation
4,836,000,000 4.836 × 106
Choose...
0.0000005812 5.812 × 10–7
Choose...
546,000,000,000 5.46 × 1011
Choose...

Answers

Answer:

NoYesYes

Step-by-step explanation:

The first one is incorrect because would be 4,836,000 instead of 4,836,000,000. The correct notion would be [tex]4.836*10^9[/tex]

the quotient of 49 and a number

Answers

Answer:

7

Step-by-step explanation:

Write an equation of the line with a slope of -\frac{2}{7} and a y-intercept of 5.

Answers

Answer:

y=3/4x-7

Step-by-step explanation:

I used the y intercept (0,-7) as a point to plug into point slope form.

y+7=3/4(x-0)

- 4x + 14 = -2(2x + 7)

Answers

X=4
-4x4=-16+14=-2
2x4=8+7=15
-2 x 15=30

plz help me help me help me

Answers

The answer is this :) hope I helped

Answer:

Step-by-step explanation: 16 is for the apple juice for when the orange juice is 8 since orange juice is half of the apple juice. For the last one the apple juice is 32 and the orange juice is 16

a meterologist said that it rained during 20 % of the past 60 days. on how many days did it not rain

Answers

Answer:

48 days

Step-by-step explanation:

20% of 60 is 12

60-12=48

Answer:

48

Step-by-step explanation:

20% of 60 is 12, 60-12=48

Hope that helps

Plz help ASAP will mark branliest

Answers

Step-by-step explanation:

Consider that:

[tex](f/g)(x) = f(x) / g(x)\\(f - g)(x) = f(x) - g(x)[/tex]

Fill in the blanks

Row 1    ⇒ 2 and -5

(-1)*(-2) = 2

Solve using two values:

f(x) - g(x) = - 10 and f(x)/g(x) = - 1  ⇒ f(x) = -g(x), substitute into first-2g(x) = - 10 ⇒ g(x) = 5 and f(x) = - 5

Row 2   ⇒ -5 and 5

- 2 - 3 = - 5g(x) = 5 (see above solution)

Row 3    ⇒ - 6 and 4

-10 - (-4) = - 62 - (-2) = 4

Row 4     ⇒ -6/7 and 2/5

-6/7-2/-5 = 2/5

I don't understand what the "find the solution" part is asking me to do? Help is greatly appreciated.

Answers

Answer:

Step-by-step explanation:

[tex]a) x_{1+1}=\dfrac{(x_{1})^{3}-5}{10}\\\\x_{2}=\dfrac{(-1)^{3}-5}{10}=\dfrac{-1-5}{10}=\dfrac{-6}{10}= - 0.6\\\\\\ii) x_{2+1}=\dfrac{(x_{2})^{3}-5}{10}\\\\x_{3}=\dfrac{(-0.6)^{3}-5}{10}=\dfrac{-0.216-5}{10}=\dfrac{-5.216}{10}= - 0.5216\\\\\\[/tex]

can someone do this? <3

Answers

here!

and here’s a link if you want to understand how to do it!

https://www.khanacademy.org/math/algebra-home/alg-intro-to-algebra/alg-manipulating-expressions/a/combining-like-terms-reminder

Answer:

[tex]-4b^3 - 4a^3 + 5a^3 b^2[/tex]

Step-by-step explanation:

Hope it helps!!

The perimeter of this rectangle si __________ units

Answers

The answer for this question is 14

L + B (x2) = 7+2 (x2)

9 x 2 = 18 (si units can be cm, m..?)

Ben and Mack stopped at a restaurant to eat. Ben purchased 2 hot dogs and 2 drinks for $4.75. Mack purchased 3 hot dogs and 1 drink for
$7.75. Which system of equations can be used to determine the price of each hot dog, x, and each drink, y?
A. 2x + 2y = 4.75
3x + y = 7.75
OB. 2x + 2y = 7.75
3x + y = 4.75
OC. X + 2y = 7.75
2x + 3y = 4.75
D. x + 2y = 4.75
2x + 3y = 7.75

Answers

Answer:

A is the answer

Step-by-step explanation:

Let x equal hotdogs and y equal drinks

2 hotdogs plus 2 drinks = 4.75

3 hotdogs plus 1 drink = 7.75

Can you help me please.
SOLVE FOR Y
[tex] \frac{5}{3} y = - (x - 5)[/tex]

Answers

Answer: Y = -3/5x + 3

Explanation:

Simplify

5/3y = -x + 5

Multiply both sides by 3/5

Y = -3/5x +3

Answer:

The answer is Y = -3/5x +3 (I think)

PLS HELP! GIVING BRAINLIEST!
Given g(x)=2x+4, find: g(4)

PLS SHOW WORK !!

Answers

Answer:

b(x)=2x+4

Factor out 2.

2(x+2)

EVALUATE

2(x+2)

Step-by-step explanation:

If x is an odd number, which of the following is also odd? * X + 1, X + 2, 2x + 2 or 3x + 1​

Answers

Answer:

x+2

Step-by-step explanation:

i put mi x as one so

....that how i get my anwser

Which relationship is NOT a function?

Answers

Answer:

a

Step-by-step explanation:

Answer:

If it is possible to draw any vertical line (a line of constant x) which crosses the graph of the relation more than once, then the relation is not a function. If more than one intersection point exists, then the intersections correspond to multiple values of y for a single value of x (one-to-many).

Step-by-step explanation:

I need the answer quick pls. what is the Measure of the base of the area of the triangle is 25ft

Answers

Answer:

b = 12.5 ft

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here A = 25 and h = 4 , then

[tex]\frac{1}{2}[/tex] × 4 × b = 25 , that is

2b = 25 ( divide both sides by 2 )

b = 12.5 ft

What is -(x + 4) - 3x = x in Distributive property?

Answers

Answer:

x = -4/5

Step-by-step explanation:

Original equation: -(x+4)-3x=x

Remember distributive property allows us to get rid of the parenthesis by bringing a multiplication from outside to inside a parenthesis.

-(x+4) = -x-4

= -x-4-3x=x

Now we combine like terms in this case we have (-x) and (-3x)

= -4x-4=x

Subtract x from both sides

= -4x-4=x

  -x      -x

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

 -5x-4=0

Add 4 to both sides

-5x-4=0

    +4 +4

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

-5x=4

Our final step is to divide both sides by -5

-5x=4

----  ----

-5    -5

x = -4/5

Hope this helps!!!

For brainily please help

Answers

Answer:

No

Step-by-step explanation:

7 + 3 = 10, and in order for this to make a triangle two sides must be greater than one side

Answer:

No

Step-by-step explanation:

two sides, say a and b, with a greater than or equal to b, ,put limits on the length of the third side, c: a-b < c < a+b.

a-b < c < a+b.

7-3 < 10 < 7+3

4 < 10 < 10

False,

HELP ASAP 100 POINTS!
Which of the following represents a function?
(-1, 2), (-2, 1), (-1, -2), (-2, -1)
(3, 4), (-3, 2), (3, 8), (5, 5)
(2, 3), (4, 3), (-2, -3), (-4, -3)
(5, 1), (5, 2), (5, 3), (5, 4)

Answers

Step-by-step explanation:

If in any set, you can find 2 or more points that lie on the same vertical,

then it is NOT a function, that is, the same value of x yields 2 or more different

values of y, you don't have a function.

e.g. D is definitely not a function. You have (-2,4) and (-2,-4) , the same x of -2 giving you a y value of 4 and -4.

i need to know what 26.6 divided by 7 is.

Answers

Answer:3.8

Step-by-step explanation:

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