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2 years ago

PLEASE HELP. Solve for x

Mathematics

1 answer:

sergejj [24]2 years ago

6 0

Answer:

x=8

Step-by-step explanation:

set up a proportion:

$\frac{20}{4}=\frac{4x-7}{5}$

simplify:

$5 =\frac{4x-7}{5}$

now solve this equation for x:

$5 = \frac{4x-7}{5} \\25 = 4x - 7\\32 = 4x\\x = 8$

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laila [671]

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Explanation:

Shaded region = 4 x 4 = 16 unit^2

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3 years ago

Information on a packet of seeds, which may not be a random sample of seeds, claims that the germination rate is 94%. What's

Evgesh-ka [11]

Answer:

0.1052

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3 years ago

What mistake did the student make in this one-step equation?

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Answer:

Step-by-step explanation:

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2 years ago

Read 2 more answers

The area enclosed by one shooting circle is 401.92 square yards. Write and solve a formula to find the radius of the shooting ci

Daniel [21]

The formula for area in terms of radius is

... A = πr²

Solving this for r, we get

... A/π = r²

... r = √(A/π) . . . . . formula for the radius

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3 years ago

The first two terms in an arithmetic progression are -2 and 5. The last term in the progression is the only number in the progre

Rudik [331]

Given:

The first two terms in an arithmetic progression are -2 and 5.

The last term in the progression is the only number in the progression that is greater than 200.

To find:

The sum of all the terms in the progression.

Solution:

We have,

First term : $a=-2$

Common difference : $d = 5 - (-2)$

$= 5 + 2$

$= 7$

nth term of an A.P. is

$a_n=a+(n-1)d$

where, a is first term and d is common difference.

$a_n=-2+(n-1)(7)$

According to the equation, $a_n>200$ .

$-2+(n-1)(7)>200$

$(n-1)(7)>200+2$

$(n-1)(7)>202$

Divide both sides by 7.

$(n-1)>28.857$

Add 1 on both sides.

$n>29.857$

So, least possible integer value is 30. It means, A.P. has 30 term.

Sum of n terms of an A.P. is

$S_n=\dfrac{n}{2}[2a+(n-1)d]$

Substituting n=30, a=-2 and d=7, we get

$S_{30}=\dfrac{30}{2}[2(-2)+(30-1)7]$

$S_{30}=15[-4+(29)7]$

$S_{30}=15[-4+203]$

$S_{30}=15(199)$

$S_{30}=2985$

Therefore, the sum of all the terms in the progression is 2985.

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3 years ago