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3 years ago

Z is the midpoint of YA. If YZ = x + 12, and ZA = 6x - 13, what is YA?

Mathematics

1 answer:

fgiga [73]3 years ago

3 0

Answer: $YA=7x-1$

Step-by-step explanation:

You know that "Z" is the midpoint of "YA". This means the following:

$YZ+ZA=YA$

Now, you know that the expression for "YZ" is:

$YZ = x + 12$

And the given expression for "ZA" is:

$ZA = 6x - 13$

Knowing these expressions, you can substitute them into $YZ+ZA=YA$ , as following:

$( x + 12)+(6x - 13)=YA$

Finally, you must add these expressions in order to get "YA".

Therefore, this is:

$x + 12+6x - 13=YA\\\\7x-1=YA\\\\YA=7x-1$

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Write the percent shown by each model. Explain your reasoning.

Sphinxa [80]

A) 1/3=33 1/3%
B) 2/3=66 2/3%
C) 1/6=16 2/3%

A) YOU CAN TURN THE FRACTION 1/3 INTO A DECIMAL WHICH WILL BE AROUND 0.333. THEN YOU TURN THE DECIMAL INTO A PERCENT. YOU CAN MOVE THE DECIMAL TWO PLACES TO THE RIGHT. THAT GIVES YOU 33.3% OR 33 1/3% THIS ALSO APPLIES TO B BUT WITH 0.666 AND 66.6%

FOR C, YOU DO THE SAME. 1/6 AS A DECIMAL IS 1.666. YOU MOVE THE DECIMAL TWO PLACES TO THE RIGHT. 16.6% OR 16 2/3%

HOPE THIS HELPED.

8 0

3 years ago

Teresa earned scores of 88, 84, 88 points and 91 points on 4 test what is the lowest score she can get on the fifth test and sti

Usimov [2.4K]

Answer:

99 points

Step-by-step explanation:

Average of a data a is the sum of the data divided by the number of data.

Average = sum of data ÷ number of data

A = T/n .....1

For the average of 5 test to be 90.

The total sum of score must be;

Number of tests n = 5

Average A = 90

Substituting into equation 1

90 = T/5

T = 90×5 = 450 points

The total score must be equal to 450 point to have an average of 90 points

The sum of the first four test is;

88+84+88+91 = 351

Let x represent the first score,

351 + x = 450

x = 450 - 351

x = 99 points

The minimum score she can get in the fifth test is 99 points

5 0

3 years ago

Store A sells 6 totes for $53.70. Store B sells 8 of the same totes for $71.60. Which store sells the toes for the lower unit pr

Alenkasestr [34]

Divide 53.70 by 6 to give you 8.95 and divide 71.60 by 8 to give you 8.95 so they sell it for the exact same unit price

6 0

3 years ago

Factor 1/7 out of 1/7x+27/7

Vera_Pavlovna [14]

<span>1/7(x) +27/7
= 1/7 (x + 27)

hope it helps</span>

7 0

3 years ago

Read 2 more answers

A study was done to determine the average number of homes that a homeowner owns in his or her lifetime. For the 60 homeowners su

const2013 [10]

Answer:

D) (3.67, 4.73)

Step-by-step explanation:

Confidence Interval for the true average number of homes that a person owns in his or her lifetimecan be calculated using M±ME where

M is the average number of home owned (4.2)

ME is the margin of error from the mean

And margin of error (ME) can be calculated as

ME= $\frac{z*s}{\sqrt{N} }$ where

z is the corresponding statistic in the given confidence level(1.96)

s is the standard deviation of the sample(2.1)

N is the sample size (60)

Putting the numbers we get ME= $\frac{1.96*2.1}{\sqrt{60} }$ ≈0.53

Then the 95% confidence interval is 4.2±0.53 or (3.67, 4.73)

6 0

3 years ago