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Ivanshal [37]
3 years ago
5

jay needs 19 quarts more paint for the outside of his barn than for the inside. If he uses 107 quarts in all, how many gallons o

f paint will be used to paint the inside of the barn
Mathematics
2 answers:
Mrrafil [7]3 years ago
6 0

Answer:  There are 11 gallons which will be used by him to paint the inside of his barn.

Step-by-step explanation:

Since we have given that

Total number of quarts he needed in all =107

Let the number of quarts he needed for the inside of his barn be x

Let the number of quarts he needed for the outside of his barn be x+19

According to question,

x+x+19=107\\\\2x+19=107\\\\2x=107-19\\\\2x=88\\\\x=\frac{88}{2}\\\\x=44

As we know that

1\text{ gallon}=4\text{ quarts}\\\\so\\\\1\text{ quarts}=\frac{1}{4}\text{ galllon}\\\\44\text{ quarts}=\frac{44}{4}\text{ gallons}=11\text{ gallons}

So, there are 11 gallons which will be used by him to paint the inside of his barn.


Inessa [10]3 years ago
5 0
107- 19 = 88 is the answer
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Drew has more than 4 times as many baseball cards as mark. Katie has fewer than half as many cards as mark. Mark has m baseball
Sphinxa [80]

Answer:

Cards with Mark = 30

Cards with Drew  = 120

Cards with Katie = 12

Step-by-step explanation:

The complete question is

Drew has 4 times as many baseball cards as Mark. Katie has 3 fewer than than half as many cards  as Mark. In all they have 162 baseball cards. How many does each have?

Solution -

Let the number of cards with Mark be "X"

Number of cards with Drew = 4 *X = 4X

Number of Cards with Katies = 0.5 X -3

Sum of all the cards is equal to 162

X+4X + 0.5 X -3 = 162

5.5 X = 165

X = 30

Cards with Mark = 30

Cards with Drew = 4 * 30 = 120

Cards with Katei = 15-3 = 12

5 0
3 years ago
Stella graphs the equation y=1/3x – 2
faltersainse [42]

we have

y=\frac{1}{3}x-2

<u>Statements</u>

<u>case A)</u> The graph is a straight line.

The statement is True

Because, this is a linear equation (see the attached figure)

<u>case B)</u> The line passes through the origin.

The statement is False

Because the point (0,0) is not a solution of the equation

Verify

Substitute the value of x and y in the equation

0=\frac{1}{3}*0-2

0=-2 ------> is not true

the point (0,0) is not a solution

therefore

The line does not pass through the origin

<u>case C)</u> The line passes through the point  (0,-2)

The statement is True

Because the point (0,-2) is a solution of the equation

Verify

Substitute the value of x and y in the equation

-2=\frac{1}{3}*0-2

-2=-2 ------> is true

the point (0,-2) is a solution

therefore

The line passes through the point (0,-2)

<u>case D) </u>The slope of the line is 3

The statement is False

Because, the slope of the line is m=\frac{1}{3}

<u>case E)</u> The y-intercept of the line is 2

The statement is False

we know that

The y-intercept is the value of y when the value of x is equal to zero

so

For x=0

find the value of y

y=\frac{1}{3}*0-2=-2

the y-intercept is equal to -2


5 0
4 years ago
Read 2 more answers
Quick!!!
Diano4ka-milaya [45]

A function assigns the values. The graph can be plotted as shown below.

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

Given the function, g(x) = -3(1/2)ˣ, therefore, the value of g(x) can be written as,

g(x) = -3(1/2)ˣ

g(-2) = -3(1/2)² = -0.75

g(-1) = -3(1/2)¹ = -1.5

g(0) = -3(1/2)⁰ = -3

g(1) = -3(1/2)¹ = -1.5

Hence, the graph can be plotted as shown below.

Learn more about Function:

brainly.com/question/5245372

#SPJ1

7 0
2 years ago
You cut a styrofoam ball in half for a project. Find the surface area of each half of the styrofoam ball.
uranmaximum [27]

Answer:

The question needs to state the radius of the styrofoam ball.

4 0
3 years ago
HELP! DUE IN A FEW HOURS
Alenkasestr [34]

Answer:

Options (C) and (E).

Step-by-step explanation:

Rotation is a rigid transformation in which size and shape of the figure and image remains the same.

That means angles and sides of the triangles given in the figure will remain same after the transformations given.

Since, the given triangle has been rotated about a point Z, each rotation will share the vertex Z.

And every figure is the transformed form of the given triangle, all four triangles will be congruent.

Options (C) and (E) are the correct options.

4 0
3 years ago
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