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3 years ago

A gym employee is paid monthly. After working for three months, he had earned $4,500. To

Mathematics

1 answer:

Leto [7]3 years ago

5 0

Answer:

$9000

Step-by-step explanation:

A gym employee has earned in 3 months =$4500

Then his monthly salary =$4500/3 =$1500

After six months he will earn = 6 × his monthly salary

= 6×$1500=$9000

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Jobisdone [24]

K=6
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3 years ago

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Shannon is putting a fence around the garden, except where there is a gate that is 3 feet wide. One foot of the fence costs $43.

Inessa [10]

Answer:

The expression would be 43x + 128

Step-by-step explanation:

43 dollars is multiplied by however many feet is used. Then, the exception(the gate) is added to the charge that is 43x

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3 years ago

JNZ~ KOA. Find the unknown measures

shepuryov [24]

Answer:

Step-by-step explanation:

If ΔJNZ and ΔKOA are similar, then corresponding sides are in proportion and corresponding angles are congruent.

We have the proportion:

$\dfrac{JN}{KO}=\dfrac{NZ}{OA}=\dfrac{ZJ}{AK}$

and equations:

$m\angle N=m\angle O=90^o\\m\angle Z=m\angle A=28^o\\m\angle J=m\angle K=62^o$

We have:

$JN=8\ in,\ NZ=15\ in,\ KO=4\ in,\ AK=x\ in,\ ZJ=y\ in$

For y we must use the Pythagorean theorem:

$ZJ^2=JN^2+NZ^2\\\\y^2=8^2+15^2\\\\y^2=64+225\\\\y^2=289\to y=\sqrt{289}\\\\y=17\ in$

$\dfrac{JN}{KO}=\dfrac{ZJ}{AK}\to\dfrac{8}{4}=\dfrac{17}{x}$ <em>cross multiply</em>

$8x=(4)(17)$

$8x=68$ <em>divide both sides by 8</em>

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3 years ago

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Factor completely 4u^2-28u+49

icang [17]

$\bold{Answer}$

$\boxed{\bold{\left(2u-7\right)^2}}$

$\bold{Explanation}$

$\bold{Factor: \ 4u^2-28u+49}$

$\bold{---------------------}$

$\bold{Rewrite \ 4u^2-28u+49: \ \left(2u\right)^2-2\cdot \:2u\cdot \:7+7^2}$

$\bold{\left(2u\right)^2-2\cdot \:2u\cdot \:7+7^2}$

$\bold{Apply \ Perfect \ Square \ Formula \ \left(a-b\right)^2=a^2-2ab+b^2: \ a=2u,\:b=7}$

$\bold{\left(2u-7\right)^2}$

$\boxed{\bold{Eclipsed}}$

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3 years ago

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The role that an organism plays within the area it lives is known as its

ser-zykov [4K]

Answer:

Niche

Step-by-step explanation:

Ecology dfn of niche

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3 years ago