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4 years ago

What is the answer to 2x45⁄ = 35

Mathematics

1 answer:

Evgesh-ka [11]4 years ago

3 0

Answer:

x=-5

Step-by-step explanation:

subtract 45 from left side. 35-45=-10. divide 2 by -10.

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Keith's height and his nephews height was at a ratio of 15:7 then, keith's Height increased by 16% and his nephews height double

Vikentia [17]

Answer:

311.6 cm

Step-by-step explanation:

To solve this problem, let's call:

k = Keith's height

n = nephew's height

Since the ratio is 15:7, we have

$\frac{k}{n}=\frac{15}{7}\\k=\frac{15}{7}n$ (1)

Then, Keith's height is increased by 16%, so the new height of Keith is

$k'=k+0.16 = 1.16k$ (2)

While the nephew's height is doubled:

$n'=2n$ (3)

We also know that Keith is now 34 cm taller than his nephew, so

$k'=n'+34$ (4)

Substituting (2) and (3) into (4), we get

$1.16k=2n+34$

And substituting (1),

$1.16\cdot \frac{15}{7}n=2n+34$

Solving for n,

$2.49n=2n+34\\\\0.49n=34\\n=\frac{34}{0.49}=69.4$

So the current height of the nephew is:

$n'=2n=2(69.4)=138.8 cm$

While Keith's current height is

$k'=138.8+34=172.8 cm$

So their total current height is

$k'+n'=172.8+138.8=311.6 cm$

8 0

4 years ago

BRAINLIESTT ASAP! PLEASE HELP ME :)

Lubov Fominskaja [6]

Answer: $\sqrt{37}$

=====================================

Work Shown:

6x-y = -3 is the same as 6x-y+3 = 0

6x-y+3 = 0 is the form Ax+By+C = 0 with A = 6, B = -1, C = 3.

The distance d that line is from the point (p,q) = (6, 2) is found by the following

$d = \frac{A*p+B*q+C}{\sqrt{A^2+B^2}}\\\\d = \frac{6*6-1*2+3}{\sqrt{6^2+(-1)^2}}\\\\d = \frac{36-2+3}{\sqrt{36+1}}\\\\d = \frac{37}{\sqrt{37}}\\\\d = \frac{37\sqrt{37}}{37}\\\\d = \sqrt{37}\\\\d \approx 6.08276\\\\$

7 0

3 years ago

The length of the rectangle is 12 units what is the width

sattari [20]

Answer:

it can be anything.

Step-by-step explanation:

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3 years ago

Read 2 more answers

Write the missing number ÷ 8 = 9 remainder 5

Anvisha [2.4K]

Answer:

Step-by-step explanation:

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3 years ago

Write the inverse of this relation. { (-5, 7), (-6, -8), (1, -2), (10, 3) } please help

vivado [14]

(7,-5) (-8,-6) (-2,1) (3,10)

4 0

4 years ago