All categories

3 years ago

PLEASE HELP

Mathematics

1 answer:

Korolek [52]3 years ago

5 0

Answer:

v=2 s=5

Step-by-step explanation:

a) v=volleyball s=soccer

s × v = 7

" the soccer (s) practice lasts 1 hour (1) more than (+) twice as long (2) as the volleyball (v) practice; this simplifies to: s = 1 + 2v

b) substitute equation for soccer for s

(1 + 2v) + v = 7

solve for v

1 + 3v = 7 (2v + v = 3v; that's where the 3v comes from)

we subtract 1 from both sides

3v = 6

we divide 3 from both sides

v=2

solve for s

since we know what v equals, we substitute it in

s + 2 =7

subtract 2 from both sides

s = 5

You might be interested in

The equation cos−1 = x can be used to determine the measure of angle BAC.

Sergio [31]

we know that

in the right triangle ABC

the value of cosine of angle x is equal to

$cos(x)=\frac{AC}{AB}$

we have

$AC=3.4\ cm\\AB=10\ cm$

substitute the values

$cos(x)=\frac{3.4}{10}=0.34$

Find the measure of angle x

$x=cos(x)^{-1} =arc\ cos(0.34)=70.12\°$

Round to the nearest whole degree

$x=70\°$

therefore

<u>the answer is</u>

$70\°$

5 0

2 years ago

Read 2 more answers

A plane left Kennedy airport on Tuesday morning for an 890 mile 8 hour trip for the first part of the trip the average speed was

slega [8]

Answer:

The plane flew for 3 hours at 105mph and 115mph for 5 hours

Step-by-step explanation:

3 0

3 years ago

Paul had 3.8 pounds of bananas and 2.1 pounds of apples. About how much fruit does he have in all?

snow_tiger [21]

Answer:

5.9 pounds

Step-by-step explanation:

3.8 + 2.1 = 5.9

5 0

3 years ago

Subtract 2 hours, 20 minutes from 4 hours, 10 minutes.

Dmitrij [34]

To make it easier convert the times all into minutes.

2 hours 20 minutes = 120 minutes + 20 minute = 140 minutes
4 hours 10 minutes = 240 minutes + 10 minutes = 250 minutes

Then subtract:

250 minutes - 140 minutes = 110 minutes

Convert back to hours/minutes:

110 minute = 1 hour and 50 minutes

3 0

3 years ago

Read 2 more answers

If the volume of the planter is 3,072 cubic inches, how tall is the planter?

andrezito [222]

$\it \mathcal{V} =\dfrac{\mathcal{A}_b\cdot h}{3} \Rightarrow h = \dfrac{3\mathcal{V}}{\mathcal{A}_b}= \dfrac{3\cdot3072}{\mathcal{A}_b}\ \ \ \ \ (*)
\\\;\\ \\\;\\
\mathcal{A}_b = \dfrac{\ell^2\sqrt3}{4} = \dfrac{16^2\sqrt3}{4} =\dfrac{16\cdot16\sqrt3}{4} =4\cdot16\sqrt3=64\sqrt3\ \ \ \ (**)
\\\;\\ \\\;\\
(*),\ (**) \Rightarrow h=\dfrac{3\cdot3072}{64\sqrt3} = \dfrac{3\cdot48}{\sqrt3} = \dfrac{\sqrt3\cdot\sqrt3\cdot48}{\sqrt3} = 48\sqrt3\ inches$

4 0

3 years ago