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3 years ago

Simplify the following:

Mathematics

1 answer:

aivan3 [116]3 years ago

6 0

Answer:

Step-by-step explanation:

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Karina uses the system of equations below to compare the monthly utility costs in July and December for electricity, x, and natu

fiasKO [112]

Answer:

d. The cost of natural gas (y) = $0.83 per unit

Step-by-step explanation:

The explanation is shown below:-

the equation of system is:

750x + 17y = 141.61 (i)

300x + 30y =75.90 (ii)

as x indicates the cost of electricity and y indicates the costs of natural gas.

we will solve the both equation with the help of multiplication for (i) by 30 and for (ii) 75

$30\times (750x + 17y) 30\times 141.61\\\\$

after solve the above equation we will get

22,500x + 510y = 4248.3 (iii)

$75\times (330x + 30y) = 75\times 75.90$

after solve the above equation we will get

22500x + 2250y = 5692.5 (iv)

After deducting the equation (iii) and (iv) we will get

1740 y = 1444.2

After Dividing by 15 both sides,

116y = 96.28

So, Katrina simplify the above system using linear equation and reach at the equation that is

116 y = 96.28

By Division property of equality defines that divide the equal no. of both sides of an equation:

by Division of 116 to both sides of an equation, to get y:

$\frac{116y}{116} = \frac{96.28}{116}$

y = 0.83

So, the natural gas is $0.83 per unit

7 0

4 years ago

Suppose that documentation lists the average sales price of a single-family home in the metropolitan Dallas/Ft. Worth/Irving, Te

Julli [10]

Answer:

"0.0373" seems to be the appropriate solution.

Step-by-step explanation:

The given values are:

n₁ = 43

n₂ = 35

$\bar{x_1}=217800$

$\bar{x_2}=204700$

$\sigma_1=30300$

$\sigma_2=33800$

Now,

The test statistic will be:

⇒ $Z=\frac{\bar{x_1}-\bar{x_2}}\sqrt{\frac{\sigma_1^2}{n_1} +\frac{\sigma_2^2}{n_2} }$

On substituting the given values in the above formula, we get

⇒ $=\frac{217800-204400}{\sqrt{\frac{(30300)^2}{43} +\frac{(33800)^2}{35} } }$

⇒ $=\frac{217800-204400}{\sqrt{\frac{918090000}{43} +\frac{1142440000}{35} } }$

⇒ $=\frac{13400}{7347.93}$

⇒ $=1.7828$

then,

P-value will be:

= $P(Z>1.7828)$

= $0.0373$

8 0

3 years ago

Y = x +b is a _ relationship and y = kx is a _relationship

Sophie [7]

Answer

Step-by-step explanation yes they are x= ky.

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3 years ago

Iva wanted to train for a race by raning 10km over 3 days during the week. the first day she ran 1.37 km more than she ran on th

lesya [120]

Answer:

3.53 km

Step-by-step explanation:

Let third day be X:

Second day: X - 0.98

First day: X - 0.98 + 1.37 = X + 0.39

X + X - 0.98 + X + 0.39 = 10

3X = 10.59

X = 3.53 kn

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3 years ago

Solve for x<br>5(x+1)-(x-18)=1

Rama09 [41]

The answer is x= 3.666 or 3 2/3

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4 years ago