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3 years ago

Unit rate of 51 gallons in 14 minutes

Mathematics

2 answers:

ruslelena [56]3 years ago

6 0

3.64 gallons per minute

Goshia [24]3 years ago

6 0

51g / 14 min = 3.64...

Unite Rate = 3.64

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Is 1.888... an irrational number? (i have a 1 in math :C)

Ipatiy [6.2K]

No, 1.888 is a rational number.

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2 years ago

Theo earns a base salary plus commission. At the end of September, he was paid $3,835.25 based on his monthly sales of $12,850.

hodyreva [135]

Theo's base salary using a simultaneous equation approach is $2,996.22 .

In order to determine the base salary of Theo, we can express the two earnings and sales amounts using simultaneous equation, that we would solve to arrive at the base salary

Bear in mind that total earnings are determined as base salary plus commission

Let X be the base salary

Let R be the rate of commission

commission =sales*rate of commission

When earnings were $3,835.25 and sales is $12,850, we have the below equation:

X+(12,850*R)=3,835.25

X+12850R=3,835.25 .................... equation (1)

When earnings were $3,641 and sales is $9,875, we have the below equation:

X+(9,875*R)=3641

X+9875R=3641 ......................... equation (2)

subtract equation 2 from 1

2975R=194.25

R=194.25/2975

R=commission rate=6.52941176470588%

substitute for R in equation 1 to arrive at X(base salary)

X+(12850*6.52941176470588%)=3,835.25

X=3,835.25-(12850*6.52941176470588%)

X=base salary=$2,996.22

Find further guide on simultaneous equation in the link below:

brainly.com/question/6597041

#SPJ1

7 0

1 year ago

Why does it work to break apart a number by place values to multiply

densk [106]

Because you are still multiplying the same values of the number you are multiplying and it's standard form

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3 years ago

Use the Central Limit Theorem to find a mean given a probability Question A video game company sells an average of 132 games a m

aev [14]

Answer:

The number of games must a store sell in order to be eligible for a reward is 135.

Step-by-step explanation:

Let the random variable X represent the number of video games sold in a month by the sores.

The random variable X has a mean of, μ = 132 and a standard deviation of, σ = 9.

It is provided that the company is looking to reward stores that are selling in the top 7%.

That is, $P (\bar X > \bar x) = 0.07$ .

The z-score related to this probability is, z = 1.48.

Compute the number of games must a store sell in order to be eligible for a reward as follows:

$z=\frac{\bar x-\mu}{\sigma/\sqrt{n}}$

$\bar x=\mu+z\cdot \sigma/\sqrt{n}$

$=132+1.48\times (9/\sqrt{36})\\\\=132+2.22\\\\=134.22\\\\\approx 135$

Thus, the number of games must a store sell in order to be eligible for a reward is 135.

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3 years ago

Use the quadratic formula to solve 5x=6x^2-3, what are the values of x?

Elis [28]

5x= 6x^2 -3
6x^2 -5x -3
a = 6
b = -5
c = -3

x = [-b +- sq root(b^2 -4ac)] / 2a
x = [--5 +- sq root (25 -(4*6*-3)] / 12
x = [5 +- sq root (25 + 72)] / 12
x = [5 + sq root (97)] / 12
x = 5 +- 9.84886] / 12
x1 = 1.237405 
x2 = -0.404072

8 0

3 years ago