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3 years ago

12R If V= ---- (r+R) Make R the subject of the equation .

1 answer:

6 0

V= $\frac{12R}{r+R}$
note, r and R are differnt
so multipl both sides by (r+R)
V(r+R)=12R
distribute
Vr+VR=12R
minus VR from both sides
Vr=12R-VR
undistribute R
Vr=R(12-V)
divide both sides by (12-V)
$\frac{Vr}{12-V}=R$ or
$R= \frac{Vr}{12-V}$

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Andrea has a goal of running at least 50 miles this month. She has already run 7 miles. How many miles does Andrea need to run e

Nuetrik [128]

Answer:

At least 1.72 miles per day.

Step-by-step explanation:

Given: Goal of running is at least 50 miles in a month.

Andrea have already run 7 miles.

Days left in the month is 25.

As given, Andrea have already run 7 miles.

∴ Andrea need to run this month= $50\ miles - 7\ miles= 43\ miles$

Days remaining this month is 25.

Now, finding miles need to run each day to meet her goal.

Miles need to run each day= $\frac{remaining\ miles}{remaining\ days}$

⇒ Miles need to run each day= $\frac{43}{25} = 1.72\ miles$

∴ Andrea need to run at least 1.72 miles to meet her goal this month.

8 0

3 years ago

X and y are both bigger than 30. x and y have HCF 21 and LCM 1617. Find x and y.

Sunny_sXe [5.5K]

The values of x and y are 99 and 343

The HCF of numbers is the highest common factors of the numbers

The LCM of numbers is the lowest common multiple of the numbers

The HCF and the LCM are given as:

$HCF = 21$

$LCM = 1617$

Multiply the HCF and the LCM

$HCF \times LCM = 21 \times 1617$

$HCF \times LCM = 33957$

The product of the numbers x and y equals the product of the HCF and the LCM.

So, we have:

$x \times y = 33957$

<h3>Prime Factors</h3>

Express 33957 as a prime factor

$x \times y = 3^2 \times 7^3 \times 11$

Rewrite the equation as

$x \times y = 99 \times 7^3$

$x \times y = 99 \times 343$

By comparison:

$x = 99$

$y= 343$

Hence, the values of x and y are 99 and 343

Read more about HCF and LCM at:

brainly.com/question/420337

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2 years ago

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gayaneshka [121]

_Award brainliest if helped!
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