A contractor needs to buy nails to build a house. The nails come in small boxes and
large boxes. Each small box has 200 nails and each large box has 400 nails. The
contractor bought twice as many small boxes as large boxes, which altogether had
3200 nails. Graphically solve a system of equations in order to determine the number
of small boxes purchased, x, and the number of large boxes purchased, y.

Answers

Answer 1

Here is your system of equations:

200x + 400y = 3200

y = 2x

Now plug into your calculator to see the graph.

Where the lines cross each other is the point that shows the solution.


Related Questions

What are the greatest common factor of 9a^b and 30ab^3?​

Answers

The GCF would be 3a^b

Answer: 3ab   IF a^b does NOT mean a to the power of b!

I believe you mean  9a²b and 30ab³

If you really mean 9aᵇ and 30ab³,  then the GCF is 3a.

Step-by-step explanation:

the factors of  9 are 3*3  The factors of 30 are 2*3*5.

The only common factor of 9 and 30  is 3

a is a common factor of a and a²

b is a common factor of b and b³

What is 6^4 x 6 1/4????

Answers

Answer:

8100

Step-by-step explanation:

Which of the sets of ordered pairs represents a function?

P = {(3, 5), (−1, 5), (4, −6), (2, 9)}

Q = {(7, −2), (5, 9), (−1, 8), (5, −3)}

Answers

Answer:

P

Step-by-step explanation:

P tells us that the Domain: 3,-1,4,2 doesn't repeat

Q does repeat its Domain: 7,5,-1,5

Reminder that in order for a line of ordered pairs to be a function the domain number Shouldn't repeat, That doesn't mean that the range cant repeat.

Example: (5,-3), (5,9) Not a function

                (-1,-6), (7,-6) Function

Out of the two set given, the set of ordered pairs that represents a function is: P = {(3, 5), (−1, 5), (4, −6), (2, 9)}.

What is a Function?

A set of ordered pairs that has one exact y-value assigned to each x-value is considered a function.

In set P, all x-values has exactly one y-value, while in set P, the x-value, 5, has two different y-values, 9 and -3.

Therefore, the set of ordered pairs that represents a function is: set P.

Learn more about a function on:

https://brainly.com/question/10439235

#SPJ2

Given the function defined in the table below, find the average rate of change, in simplest form, or the function over the interval 20

Answers

Answer:

Average rate of change = 0.4

Step-by-step explanation:

Average rate of change of a function in the interval [a, b] is defined by the formula,

Rate of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]

From the table attached,

Rate of change of the function in the interval 20 ≤ x ≤ 40 will be

= [tex]\frac{f(40)-f(20)}{40-20}[/tex]

= [tex]\frac{24-16}{40-20}[/tex]

= [tex]\frac{8}{20}[/tex]

= [tex]\frac{2}{5}[/tex]

= 0.4

Therefore, average rate change of the function in the given interval 20 ≤ x ≤ 40 is = 0.4

My book is 79 pages. I have been reading 10 pages each day. There are 9 pages left to read. How many days have I been reading the book? Draw a model to show your thinking. Justify your answer.

Answers

Answer:

7 days

Step-by-step explanation:

If there are 9 pages left, that means you have already read 70 pages.

Since you read 10 pages a day, we can find how many days you have been reading the book by dividing 70 by 10:

70/10

= 7

This means you have been reading the book for 7 days

Answer:

7 days

Step-by-step explanation:

With 9 pages left take 79-9 to get 70 pages.

70 pages at 10 pages a day is 70/10 and you get 7 or 7 days.

Identify the independent and dependent variable for the given situation. D = 5t

Answers

Answer:

d = dependant; t = independant

Step-by-step explanation:

The d value is dependant on the t value, therefore it is the dependant. The t is the only valuable that can be changed in the equation, therefore being the independant.

Answer:

[tex]D[/tex] = dependent; [tex]t[/tex] = independent

Step-by-step explanation:

[tex]D[/tex] is the independent variable since its value relies/depends on the value of [tex]t[/tex].

[tex]t[/tex] is the independent variable since it is the input variable which can be changed.

Hope this helps :)

Write the equation in slope-intercept form y−6=−2/5(x−10)

Answers

Answer: y = -2/5x + 10

Step-by-step explanation:

y − 6 = − 2/5 (x − 10)

do distributive property

y - 6 = -2/5x + 4

add six to both sides

y = -2/5x + 10

boom the answer :v

Which unit would be most appropriate to measure the
width of the basement of a house?
A centimeters B meters C millimeters D kilometers

Answers

Answer:

measure the length of the area.and the width of the area. using feet

what is the value of x for the equation: x/3+x=x/6-1

Answers

(x/3) + x = (x/6) - 1
6x/3x = 2x
2x + x = 3x
3x = -1
x = -1/3

Answer:

I think the answer may be

X=2

Step-by-step explanation:

x÷3+x=x÷6-1

Add the common factors together to get

2x÷3=x÷6-1

subtract on the right side to get

2x÷3=x÷5

subtract 3 from both sides to get

2x=x÷2

subtract x from both sides to get

1x=2

Question 16
7 pts
16. The ratio of the number of girls to the number of
boys in art in 7 to 4. There are 60 boys in art. How
many girls are in art? (6.4B)

Answers

Answer:

105 girls

Step-by-step explanation:

girls : boys

7 : 4

Let total number of people in art be (7 + 4)x.

4x = 60

x = 15

no. of girls = 7x = 7 x 15 = 105

This is a question on ratios and proportions. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

plz help me its do today

Answers

Answer:

your doing slope too?

Step-by-step explanation:

bro im doing that rn

Answer:

Slope: 1

Y intercept: 2 or (0,2)

Equation: y=x-2

Step-by-step explanation:

help im being timed what is the area of the rectangle?!

Answers

Answer:

30

Step-by-step explanation:

Hope this helps.

Please help i am confused on this too!

Answers

Answer:

the first, third, and the forth

The answer is 20X11 and the first one and the third one


Is the following relation a function, yes or no?
{(-3,4),(3,1),(5,7), (8,9), (10, 12)}
yes
no

Answers

The function rule is that each input (x value in (x,y)) should only equal to one output and one output (y value) can have more than one input.

✯the following is a function, so yes.

Answer:

yes

Step-by-step explanation:

please someone help asap i will give brainliest

Answers

Answer:

Step-by-step explanation:

c≥ -1.95

[-1.95,∞)

solid circle on -1.95 and go right

i will give brainliest if correct answer

Answers

4w-24≤-12

4w≤12

w≤3

the answer i got is fifth first

The measures of the angles of a triangle are shown in the figure below

Answers

Answer:

they very much are there

Step-by-step explanation:

Answer:

37.5 degrees

Step-by-step explanation:

All triangle angles must sum up to 180 degrees

63 + 90 = 153

153 = 4x + 3

150 = 4x

37.5 = x

what is the measure of <x​

Answers

Answer:

x = 104°

Step-by-step explanation:

180-76=104

z = 104°

z and x are vertical from each other, therefore, z = x

Hmmm this is gonna be a long process

Write the equation of a line through (0,2) that is parallel to the graph

Answers

Answer:

y=3x+2

Step-by-step explanation:

Refer to the picture that given :)

Question is in image

Answers

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[tex]y = - \frac{1}{4} x + 4 \\ [/tex]

Multiply sides by 4

[tex]4 \times y = 4 \times ( - \frac{1}{4} x + 4) \\ [/tex]

[tex]4y = 4 \times ( - \frac{1}{4} x) + 4 \times 4 \\ [/tex]

[tex]4y = - x + 16[/tex]

Add sides x

[tex] + x + 4y = + x - x + 16[/tex]

[tex]x + 4y = 16[/tex]

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The correct answer is (( C )) .

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

What will be the coordinates of point M of the image after the rotation?
0 (-4, 1)
0 (-1,4)
O (1-4)
O (4,1)​

Answers

answer: b
explain- i’m smart jk

pls help me its also easy

Answers

Answer:

C

Step-by-step explanation:

Ferdinand's equipment is higher than Rachel's equipment.

Match each expression to correct number line model.

I NEED THIS RIGHT AWAY!

(no one answered my last one so i hope this gets answered quick.)

Answers

1. 4+(-1 1/2)
2. 1.5+-2.5
3. -1.5+-2.5
4. 1.5+-2.5

Please help

f(x)=1 - 2x g(x)= -x0 h(x)= x + 1
) Find the value of
(i) gf2),
Answer(a)(i)
[2]​

Answers

Answer:

we get [tex]\mathbf{gf(2)=-\frac{1}{3}}[/tex]

Step-by-step explanation:

We are given:

[tex]f(x)=1-2x\\g(x)= \frac{1}{x}\\h(x)=x^3+1[/tex]

We need to find value of [tex]gf(2)[/tex]

[tex]gf(2)=g(f(2))[/tex]

First putting f(x) inside of g(x) and then putting x=2

[tex]gf(x)=g(f(x))\\gf(x)=\frac{1}{1-2x}[/tex]

Now putting x=2 to find [tex]gf(2)[/tex]

[tex]gf(x)=\frac{1}{1-2x}\\gf(2)=\frac{1}{1-2(2)}\\gf(2)=\frac{1}{1-4}\\gf(2)=\frac{1}{-3}\\gf(2)=-\frac{1}{3}[/tex]

So, we get [tex]\mathbf{gf(2)=-\frac{1}{3}}[/tex]

I suck at math please do this for me I’ll give you anything

Answers

Answer:

Step-by-step explanation:

20:

The distance on a map between lake view and bay cove is 4.5 inches. The map key says 0.5 inches on the map is equivalent to 1 mile. what is the actual distance between Lake view an bay cove?

Answers

Answer:

9 miles

Step-by-step explanation:

yes i used a calculator

Answer:

9 miles.

Step-by-step explanation:

What I did was 4.5/.5  

The  I got 9. Then I checked it on a calculator and got 9 again.

So.. your answer is 9 miles.

Hope this helped ya!

Geometry 2. Congruent triangles

Answers

Answer:

pq =28

Step-by-step explanation:

you set up the equation by making them equal each other 3x+4= 5x-12 and solve From there

A system of linear equations includes the line that is created by the equation y = 0.5 x minus 1 and the line through the points (3, 1) and (–5, –7), shown below. What is the solution to the system of equations?

Answers

Answer:

The solution to the system of equations is x = 4 and y = 2.

Step-by-step explanation:

From statement we know that the first line is [tex]y = 0.5\cdot x[/tex]. The second line is determined by knowing two distinct points and solving the resulting system of equations by definition of the equation of the line:

[tex](x_{1},y_{1}) = (3,1)[/tex] and [tex](x_{2}, y_{2}) =(-5,-7)[/tex]

[tex]3\cdot m + b = 1[/tex] (1)

[tex]-5\cdot m + b = -7[/tex] (2)

The solution of the system of equations is:

[tex]m = 1[/tex], [tex]b = -2[/tex]

The second line is represented by [tex]y = x-2[/tex]. And the resulting system of equations is:

[tex]0.5\cdot x -y = 0[/tex] (3)

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

The soltuion to the system of equations is:

[tex]x = 4[/tex], [tex]y = 2[/tex]

The solution to the system of equations is x = 4 and y = 2.

PLS HELP!!!
PLS FIND 13 and 15!!

Answers

Answer:

hi how are you doing

Step-by-step explanation:

I’m so confused someone please help!

Answers

Answer:

Step-by-step explanation:

7x - 42 + 5x =  180  {linear pair}

7x + 5x - 42 = 180              {Combine like terms}

      12x - 42 =180

             12x = 180 + 42

            12x = 222

             x = 222/12

x = 18.5

5x = 5*18.5 = 92.5

7x - 42 = 7*18.5 - 42  = 129.5 - 42 = 87.5

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