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Pavel [41]
3 years ago
15

A farmer ships oranges in wooden crates that each weigh 15 pounds when they are empty. The total weight of the crate when filled

with g oranges is 24.5 pounds. Write and Solve an equation that represents the relationship between the weight of the crate and the number of oranges it contains.

Mathematics
2 answers:
scoundrel [369]3 years ago
7 0

Answer:

Step-by-step explanation:

Let g represent the weight of the g oranges that were put in the crate in pounds.

From the information given,

The weight of the empty crate is 15 pounds. The total weight of the crate when filled with g oranges is 24.5 pounds.

Therefore, the equation that represents the relationship between the weight of the crate and the number of oranges it contains is

g + 15 = 24.5

g = 24.5 - 15

g = 9.5 pounds

The weight of the g oranges is 9.5 pounds

SashulF [63]3 years ago
4 0

Answer:

X + 15 = 24.5

X = 9.5 pounds

Step-by-step explanations:

Please refer to the attachment(s) for explanations

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Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Holly bought blank CDs and spent 34.57. What is that amount to the nearest dollar?
Mamont248 [21]
You round to nearest ones, 34.57≈35
35dollar
8 0
3 years ago
Read 2 more answers
Through: (-5, -3), perp. to y=-9/4x-5
Mrrafil [7]

Given:

A line passes through (-5,-3) and perpendicular to y=-\dfrac{9}{4}x-5.

To find:

The equation of the line.

Solution:

We have,

y=-\dfrac{9}{4}x-5

On comparing this equation with slope intercept form, i.e., y=mx+b, we get

m_2=-\dfrac{9}{4}

It means, slope of this line is -\dfrac{9}{4}.

Product of slopes of two perpendicular lines is always -1.

m_1\times m_2=-1

m_1 \times \left(-\dfrac{9}{4}\right)=-1

m_1=\dfrac{4}{9}

Slope of required line is \dfrac{4}{9} and it passes through the point (-5,-3). So, the equation of the line is

y-y_1=m(x-x_1)

where, m is slope.

y-(-3)=\dfrac{4}{9}(x-(-5))

y+3=\dfrac{4}{9}(x+5)

9(y+3)=4(x+5)

9y+27=4x+20

27-20=4x-9y

7=4x-9y

Therefore, the equation of required line is 4x-9y=7.

8 0
3 years ago
What is the solution to this system of equations?
Ede4ka [16]

Answer:

First choice.

Step-by-step explanation:

You could plug in the choices to see which would make all the 3 equations true.

Let's start with (x=2,y=-6,z=1):

2x+y-z=-3

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

4-6-1=-3

-2-1=-3

-3=-3 is true so the first choice satisfies the first equation.

5x-2y+2z=24

5(2)-2(-6)+2(1)=24

10+12+2=24

24=24 is true so the first choice satisfies the second equation.

3x-z=5

3(2)-1=5

6-1=5

5=5 is true so the first choice satisfies the third equation.

We don't have to go any further since we found the solution.

---------Another way.

Multiply the first equation by 2 and add equation 1 and equation 2  together.

2(2x+y-z=-3)

4x+2y-2z=-6 is the first equation multiplied by 2.

5x-2y+2z=24

----------------------Add the equations together:

9x+0+0=18

9x=18

Divide both sides by 9:

x=18/9

x=2

Using the third equation along with x=2 we can find z.

3x-z=5 with x=2:

3(2)-z=5

6-z=5

Add z on both sides:

6=5+z

Subtract 5 on both sides:

1=z

Now using the first equation along with 2x+y-z=-3 with x=2 and z=1:

2(2)+y-1=-3

4+y-1=-3

3+y=-3

Subtract 3 on both sides:

y=-6

So the solution is (x=2,y=-6,z=1).

8 0
3 years ago
on a weekend, Neville hagberg worked 13 hours at a double time pay. his regular pay rate was 9.86. what did Neville overtime pay
Mumz [18]
Double time pay.....basically, this means double his regular pay
2(9.86) = 19.72 per hr for overtime pay

at 13 hrs...
19.72 (13) = 256.36 total overtime pay
7 0
3 years ago
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