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1 year ago

1. The graph shows the number of miles Peter's car traveled and the gallons of gas used.

Mathematics

1 answer:

steposvetlana [31]1 year ago

4 0

Answer:

C. d = 24g

Step-by-step explanation:

The problem boils down to determining the ratio between d and g. That is, for some equation ...

d = k·g

we want to determine the value of k. Solving the equation for that value, we find ...

k = d/g

So, we need only to read a point from the graph with sufficient accuracy to determine a good estimate for k.

(gallons, miles) = (g, d) = (5, 120) is a suitable point

Then ...

k = d/g = 120/5 = 24

The equation is d = 24g.

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How can we find how many inches wide the coat box is?

Alex777 [14]

Answer:

First we found the sum of 15.438 and 3.18. The subtract the answer from 32.476.

Option A is correct.

Step-by-step explanation:

The total width of box is = 32.476

Width of box of T-shirts = 15.438

Width of box of Socks = 3.18

We need to find width of coat box.

The width of coat box can be found as:

Total Width = Width of box of T-shirts + Width of box of Socks + width of coat box

32.476 = 15.438 + 3.18 + width of coat box

32.476 = 18.618 + width of coat box

width of coat box= 32.476 - 18.618

width of coat box = 13.858

So, The Width of coat box = 13.858 inches

First we found the sum of 15.438 and 3.18. The subtract the answer from 32.476.

Option A is correct.

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1 year ago

The picture below shows a box sliding down a ramp:

Gennadij [26K]

Answer:

$AC=15.1\ ft$

Step-by-step explanation:

we know that

In the right triangle ABC

The function sine of angle 68 degrees is equal to divide the opposite side SB by the hypotenuse AC

$sin(68\°)=\frac{AB}{AC}$

substitute the values and solve for AC

$sin(68\°)=\frac{14}{AC}$

$AC=\frac{14}{sin(68\°)}$

$AC=15.1\ ft$

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1 year ago

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Answer:

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Step-by-step explanation:

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1 year ago

What's the angle of x?

vichka [17]

Answer:

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Step-by-step explanation:

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1 year ago

Read 2 more answers

Drag each expression to show whether it is equivalent to (5⋅9x)+(5⋅1), 45x+15, or 15(3x−1).

JulijaS [17]

Part A: Option e: $5(9 x+1)$

Option f: $45 x+5$

Part B: Option c: $15(3 x+1)$

Option d: $(5 \cdot 9 x)+(5 \cdot 3)$

Part C: Option a: $(5 \cdot 9 x)-(5 \cdot 3)$

Option b: $45 x-15$

Explanation:

Part A: The equation is $(5 \cdot 9 x)+(5 \cdot 1)$

Simplifying, we have,

$45x+5$

Taking the term 5 common out, we have,

$5(9 x+1)$

Thus, the above two expressions are equivalent to the equation $(5 \cdot 9 x)+(5 \cdot 1)$ .

Hence, Option e and Option f are the correct answers.

Part B: The equation is $45 x+15$

Taking the term 15 common out, we have,

$15(3 x+1)$

Also, the equation can be rewritten as,

$(5 \cdot 9 x)+(5 \cdot 3)$

Thus, the above two expressions are equivalent to the equation $45 x+15$

Hence, Option c and Option d are the correct answers.

Part C: The equation is $15(3 x-1)$

Multiplying, we have,

$45 x-15$

The above expression can be rewritten as,

$(5 \cdot 9 x)-(5 \cdot 3)$

Thus, the above two expressions are equivalent to the equation $15(3 x-1)$

Hence, Option a and Option b are the correct answers.

3 0

1 year ago