Pierre found a new store where he hopes to save
money on his supplies. He bought 4 brushes and 7
tubes of paint for $32. He has another order for 6
brushes and 8 tubes of paint that will cost $43.
What is the cost of one brush? What is the cost of
one tube of paint?

Answers

Answer 1
Your first equation is 4x + 7y= 32, the x’s representing the brushes and the y’s the tubes of paint. Our second equation is 6x+8y=43. What I did is I multiplied the first equation by 1.5 so that it turns into 6x+10.5y=48. Then I subtracted the second equation from the first, canceling out the x’s and leaving us with 2.5y=5. Then divided and got y=2. We then go back to any of the original equations and plug it in to get the x’s.
6x+8(2)=43. We get 6x+16=43. We subtract and are left with 6x=27 and then x=4.5. Then plug both of them in to a different equation to double check. You could also use substitution by isolating one of the variables in one equation and then plugging it in to the other one.

Related Questions

Is my Answers Correct? Very easy Question!

Answers

Answer:

Step-by-step explanation:

Correct

Step-by-step explanation:

the 5th one on the right is standard form,

the second one is perfect square form.

Show how you found the slope and y-intercept

Answers

Answer:

Slope: [tex]\frac{5}{2}[/tex]

y-intercept: 0

Step-by-step explanation:

First, find the slope. Use two points given to you. In this case, I will use the following:

(x₁ , y₁) = (2 , 5)

(x₂ , y₂) = (4 , 10)

Use the following equation:

slope (m) = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]

Plug in the corresponding numbers to the corresponding variables:

slope (m) = [tex]\frac{10 - 5}{4 - 2}[/tex] = [tex]\frac{5}{2}[/tex]

Note the slope intercept form:

y = mx + b

y = (x , y)

m = slope

x = (x , y)

b = y-intercept

Plug in the slope into m for the equation:

[tex]y = \frac{5}{2} x + b[/tex]

Choose a point to use to find b. In this case, I will use (2 , 5). Plug in 2 for x, and 5 for y:

[tex]5 = \frac{5}{2}(2) + b[/tex]

Simplify. Isolate the variable, b. Note the equal sign, what you do to one side, you do to the other:

[tex]5 = \frac{5}{2}(2) + b\\5 = 5 + b\\5 (-5) = 5 (-5) + b\\b = 5 - 5\\b = 0[/tex]

Y-intercept: 0

Answer and explain ILL MARK BRAINLIEST I DONT UNDERSTAND

Answers

First let's reduce the feet to miles

there are 5280 feet in a mile therefore

26400 feet=5 miles

31680 feet=6 miles

Jet A(the first jet) descends 5 miles in 96 miles

Jet B(the second jet) descends 6 miles in 120 miles

We can compare these as fractions to see which is steeper. This can be viewed as slope and the origin (0,0) is the airport.

slope: 6/120=?=5/96

1/20=?=5/96

Now we know that 5/100 =1/20 so 5/96 must be bigger than 5/100 because you are dividing by a smaller number.

so 1/20<5/96

So Jet B is descending steeper than Jet A.

As for linear model, I don't exactly know what your teacher means but I think I actually used the linear model when I'm thinking of steepness as slope in the coordinate plane, I will include a picture.

In this extremely zoomed out graph, you can see the blue line is just slighly higher than the red line(slope as in explanation is way easier to tell) this could be seen as the linear model) :) Hope it helped!

A polynomial function has zeros at 5/2 (multiplicity 2), 3 (multiplicity 1), and 0 (multiplicity 4). Write a function in standard form that could represent this function

Answers

Answer:

-75 x^4 + 85 x^5 - 32 x^6 + 4 x^7

Step-by-step explanation:

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

Expand and get

-75 x^4 + 85 x^5 - 32 x^6 + 4 x^7

The standard form will be  [tex]X^4(x^4-7x^3+12x^2-\dfrac{35x}{2} +\dfrac{25x^2}{4} +\dfrac{25}{4} =0[/tex]

What will be the standard form of the given expression?

The given expression is

[tex](x-\dfrac{5}{2})^2(x-1)^2(x-0)^4=0[/tex]

[tex](x^2-5x+\frac{25}{4} )(x^2-2x+1)(x^4)=0[/tex]

[tex](x^4-2x^3+x^2-5x^3+10x^2-5x+\dfrac{25x^2}{4} -\dfrac{50}{4} x+\dfrac{25}{4} ) x^4=0[/tex]

[tex]X^4(x^4-7x^3+12x^2-\dfrac{35x}{2} +\dfrac{25x^2}{4} +\dfrac{25}{4} =0[/tex]

Thus the standard form will be  

[tex]X^4(x^4-7x^3+12x^2-\dfrac{35x}{2} +\dfrac{25x^2}{4} +\dfrac{25}{4} =0[/tex]

To know more about Polynomials follow

https://brainly.com/question/15702527

Can someone explain the washer method in calculus and help me solve this problem?

Answers

Answer:

Step-by-step explanation:

Factorise
7lm - 21lmn​

Answers

Answer:

7lm - 21lmn

taking common 7lm

7lm(1-3n)

They boost the economy

Answers

Answer:

I think the question is incorrect

Step-by-step explanation:

they boost the economy why is this in mathematics

‍♀️‍♀️

Please Help. Will give Brainliest.

Answers

Answer:

translation.........

Can someone help me

Answers

Answer:

The first one is a right angle (90-degree angle) The second one is an acute and obtuse angle. And the slope is y=2x-3

Step-by-step explanation:

Hope this Helped

First one is a right angle because it is 90 degrees. Second is a acute angle because it is LESS than 90 degrees. Then third is a obtuse angle because it is MORE than 90 degrees

There are 4 oranges, 7 bananas, and 5 apples in a fruit basket.
Ignacio selects a piece of fruit at random and then Terrance
selects a piece of fruit at random.

probability of two bananas
p( two bananas )​

Answers

                                                                                                                                                   

                                                                                                                       .hnsxasy543esx nuyAtre

Barbara charges $3.50, plus $2.25 for each hour she babysits. If Barbara charges $21.50, how many hours does she babysit?

Answers

Answer:

8 hours

Step-by-step explanation:

The equation is 2.25X + 3.50 = 21.50

X represents the unknown amount of hours she worked. 2.25 is the cost per hour. 3.50 is the fee she charges for every gig. That fee only happens once a gig so naturally it wasn't the number x was placed with.

2.25X + 3.50 = 21.50

2.25X + 3.50 - 3.50 = 21.50 - 3.50

2.25X = 18

2.25X = 18

2.25 2.25

X = 8

if kya wins the election she will not be continuing to get in touch with her family/friends and now she has to make a decision to help people in need around the world she is 48 hours to decide if she will go or not she need to week to pack and they leave the day after because she says that yes how long would you have with her family/Friends​

Answers

Answer:

47 hours?

Step-by-step explanation:

She would have 47 hours lol

If she says yes then she would have enough time to spend with family and then 1 hour to go?

When 6 is added to four times a number, the result is 50​

Answers

x=the number
4x+6=-50
4x=-50-6
4x=-56
x=-56/4
x=-14

Answer:

50-6= 54

54÷4= 13.5

editing for clarity.

first you subtract the 6 from the 50 to find out what the "4 times a number" came to.

in this case, 50-6, which equals 54.

then, you divide the 54 by 4 to get 13.5.

so, the whole math problem would be

4 times 13.5 plus 6 equals 50.

Laura had a toy robot collection. 4/7 of her 28 robots make noise. How many of Laura’s robots make noise? If you guys answer can you please do show you work.

Answers

Answer:

4/7 of 28 robots is 16.

Step-by-step explanation:

This is because 4/7 is equal to 16/28 when you simplify it. multiply 7 by four and you get 28 as your denominator and 16 as your numerator.

NEEd help quickly please!!! The basketball game had 500 people in attendance. If the ratio of Pioneer fans to Lion fans is 15:5, how many MORE Pioneer fans were there? Pls use tape diagram.

Answers

Answer:

Step-by-step explanation:

15(500/20)-5(500/20)

375-125

250

There were 250 more Pioneer fans than Lion fans.

Please Help me, what the answer

Answers

It’s either 1. Or 2. I’m really not sure which one tho so sorry! There’s not enough information given but if I had to guesstimate I would say 1.

in a classroom 1/6 of the students are wearing blue shirts and 2/3 of wearing white shirts there are 36 students in the class how many students are wearing blue shirts​

Answers

Answer:

6 students are wearing blue shirts

Step-by-step explanation:

you divide 36 by 6 and that equals 1/6 of the students.

u={1,2,3,4,5,6,7,8,9}
a={2,4,6,8}
b={3,6,9}

What is the set AUB?

Answers

Answer:

AUB = {2,3,4,6,8,9}

Step-by-step explanation:

The set u should not be included in set AUB

What is the measure of angle A?
Enter your answer as a decimal in the box. Round your final answer to the nearest hundredth.

Answers

Answer: 45 degrees

Step-by-step explanation:

Answer is 45 degrees

A bus can hold a total of 60 students. The bus is 73% full how many students are on the bus?​

Answers

Answer:

44

Step-by-step explanation:

so youre looking for 73% of students rite? of means multiplication , you just times 73% by 60

73%*60=43.8

but there cant be point 8 of a person unless theyre missin a couple limbs, so you round up to 44!

hope it helps :)

44
---------------------

HELPPPPP PLSSSSSS !!!!!!!


Charmaine is having a party. She'll have 4 tables for every 8 guests. Complete the table below showing the number of tables and the number of guests​

Answers

Answer:

Top is 18, Bottom goes 6 for 12, then 7 for 14, then 10 for 20

Step-by-step explanation:

2 guests = 1 table

Divide 8 and 4
Which would be 2 so 2 people for table

Please help I'm confused with what to put in those boxes

Answers

It is asking how many layers which is 5 because in order to build it it went up 5
and the numbers in each layer is 3 going across

Please!!!!! help!!!!!

Answers

Answer:

x = 6, x = 8, and x = 10

Step-by-step explanation:

Since 44 > 35, that means that

[tex]2x + 3 > x + 8\\x + 3 > 8\\x > 5[/tex]

so that means the ones that work are x = 6, x = 8, and x = 10

Look at the image. Could someone please help me out? Only question B Thank you! WILL GIVE BRAINLYEST​

Answers

Answer:

y = 3

Step-by-step explanation:

2x+6y=5x+4y   if x=2

2(2)+6y=5(2)+4y

4+6y=10+4y

-4     =-4

6y=6+4y

-4y=   -4y

2y=6

/2=/2

y=3


When Joe solved a system using substitution, he got 7 = 9. What can Joe
conclude? *
The solution to the system is (7.9).
The system of equations does not have a solution,
The work must be incorrect because it is not possible to get this equation
The system of equations has infinitely many solutions,

Answers

Answer:

The system of equations does not have a solution

Step-by-step explanation:

Whenever you get a number = a different number, that means there's no solution.

What is the answer to -5+(-5r)+10

Answers

Answer:

=−5r+5

Step-by-step explanation:

Let's simplify step-by-step.

−5−5r+10

=−5+−5r+10

Combine Like Terms:

=−5+−5r+10

=(−5r)+(−5+10)

=−5r+5

Answer: -5r+5

Step-by-step explanation: 1rst: Eliminate redundant parentheses

                                               -5+(-5r)+10

                                               -5-5r+10

                                             2nd: Add the numbers

                                                -5-5r+10

                                                5-5r

                                             3rd: Rearrange terms

                                                5-5r

                                                -5r+5

Which expression is equivalent to x + 0.2x

1.2x
0.2x squared
0.2x
1.02x​

Answers

The answer to this expression would be 1.2x

Which phrase best describes the relationship indicates by the scatter plotting?​

Answers

Answer:B

Step-by-step explanation:

A single six-sided die is rolled. Find the probability of rolling a seven.

Answers

Answer: there is no probability to roling a 7

Step-by-step explanation: there are  only 6 sides to the die that is rolled

PLS HELP I DONT KNOW THIS ONE ITS URGENT

Answers

Answer:

A. [tex] \frac{UV}{VW} = \frac{ZY}{YX} [/tex]

Step-by-step explanation:

WX, VY, and UZ are parrelel to each other, therefore, base on triangle proportional theorem, the two transversal lines are divided proportionally by the 3 parallel lines.

Thus, we would have the following equation which is true:

[tex] \frac{UV}{VW} = \frac{ZY}{YX} [/tex]

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