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3 years ago

Eric drove 248 miles in 4 hours. If he continues to travel at the speed, how far will he go in 7 hours and 30 minutes?

Mathematics

2 answers:

ozzi3 years ago

7 0

Answer:

465 miles

Step-by-step explanation:

Convert the time in hours to time in minutes, which would give us 4 hours to be 240 minutes and 7 hours 30 minutes to be 450 minutes.

Create a proportion.

$\frac{248 miles}{240 minutes} = \frac{x miles}{450 minutes} \\248*450 = 240x\\111600=240 x\\465 = x$

qaws [65]3 years ago

6 0

248/4=62
62•7 1/2=465 miles

He will go 465 miles in 7 hours and 30 minutes

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If the radius of circle A is 6 units, calculate the area of the shaded region...

meriva

The formula of an area of a triangle:

$A_{\triangle}=\dfrac{base\cdot height}{2}$

We have:

$\triangle_{FDE}:\ base=height=1\\\triangle_{GDH}:\ base=height=9$

substitute:

$A_{\triangle_{FDE}}=\dfrac{1\cdot1}{2}=0.5\\\\A_{\triangle_{GDH}}=\dfrac{9\cdot9}{2}=40.5$

The formula of an area of a circle:

$A_O=\pi r^2$

We have $r=6$

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$A_O=\pi\cdot6^2=36\pi\approx36\cdot3.14=113.04$

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3 years ago

Joes age (j) is half Martha’s (m). Combined, their age is 42. What are their ages?

svp [43]

Answer:

Joe is 14.

Martha is 28.

Step-by-step explanation:

Use the variables and information from the question to make equations.

If Joe's age is half Martha's:

(1/2)m = j OR 2j = m

If their ages combined is 42:

m + j = 42

We can substitute the equation m=2j into equation m + j = 42, replacing "m".

m + j = 42 Substitute m for 2j

2j + j = 42 Combine like terms, terms with same varables

3j = 42 Divide both sides by 3 to isolate j

j = 14 Joe's age

Since j = 14, we can substitute it into equation m=2j to find "m".

m = 2j Substitute j for 14

m = 2(14) Simplify

m = 28 Martha's age

Therefore Joe is 14 and Martha is 28.

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3 years ago

A can is 7 inches high and has a radius of 2 inches,

Yuliya22 [10]

Answer:

87.92 cubic inches

Step-by-step explanation:

to find the volume of a cylinder the formula is V = $\pi$ $r^{2}$ h

so first i squared 2

2x2= 4

i then multiplied 4 by the height (7)

4x7 = 28

then times 28 by pi (3.14)

28x 3.14 = 87.92

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2 years ago