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padilas [110]
3 years ago
14

Solve the system of equations and choose the correct orderd pair 4x-2y=-2 and 6x+3y=27

Mathematics
1 answer:
insens350 [35]3 years ago
6 0

Answer:

the answer is written in the picture

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Solve x/12+3&lt;7<br> thanks!
Bezzdna [24]

Answer:

x < 48

Step-by-step explanation:

First, subtract 3 from both sides of this inequality:  x/12 < 4.

Multiply both sides of this inequality by 12 to remove fractions:  x < 48


5 0
3 years ago
The ratio of the measures of the sides of a triangle is
Nezavi [6.7K]

Answer:

The length is 120 yards

Step-by-step explanation:

Here, we want to find the length of the longest side

The longest side ratio is 15

Add up all the ratio,

We have 1 + 15 + 3 = 19

So the length will be;

15/19 * 152

= 120 yards

7 0
3 years ago
Given: 3x + 1 = -14; Prove: x = -5
MrRissso [65]

Answer:

x = -5

Step-by-step explanation:

Solve for x:

3 x + 1 = -14

Subtract 1 from both sides:

3 x + (1 - 1) = -14 - 1

1 - 1 = 0:

3 x = -14 - 1

-14 - 1 = -15:

3 x = -15

Divide both sides of 3 x = -15 by 3:

(3 x)/3 = (-15)/3

3/3 = 1:

x = (-15)/3

The gcd of -15 and 3 is 3, so (-15)/3 = (3 (-5))/(3×1) = 3/3×-5 = -5:

Answer:  x = -5

7 0
3 years ago
Read 2 more answers
t is known that the population variance equals 484. With a 0.95 probability, the sample size that needs to be taken if the desir
PtichkaEL [24]

Answer:

The sample size needed to be taken is approximately 74.

Step-by-step explanation:

To get alpha; we have 1 - 0.95 = 0.05

Therefore, z_{\frac{a}{2} }  = \frac{0.05}{2}  = 0.025

The we look up z* in a Standard Normal table where α = 0.025 area in each tail.

From the table, z* = 1.96

From the question variance is 484, then the standard deviation is 22

Standard deviation = \sqrt{Var(x)}  = \sqrt{484}  = 22

And margin of error is 5 or less

The formula for margin of error is given as:

margin of error = \frac{(z^{*}) (SD)}{\sqrt{n} }

5 = \frac{1.96  * 22}{\sqrt{n} } \\5 = \frac{43.12}{\sqrt{n} } \\5 * \sqrt{n}  = 43.12\\(5)^{2}  * (\sqrt{n} )^{2} = (43.12)^2\\25 * n = 1859.3344\\25n =  1859.3344\\\frac{25n}{25}  = \frac{1859.3344}{25} \\n = 74.373376\\n = 74

The approximate value of n is 74.

3 0
3 years ago
Will mark as brainiest
UkoKoshka [18]

Answer:

y·cos73°= x

Step-by-step explanation:

To find this, we can begin by looking at the steps to solve this problem. We know that this involved the 'opposite' and 'adjacent' sides, meaning we must use 'cos' in this instance.

We can set up an equation like this:

cos73°= \frac{x}{y}.

We can simply rearrange this to form a possible answer choice:

y·cos73°= x.

This is one of the answer choices! That is your final answer.

7 0
3 years ago
Read 2 more answers
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