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den301095 [7]
3 years ago
11

X = 2y + 12 5x + 3y =-44

Mathematics
1 answer:
Dmitry [639]3 years ago
8 0

Answer:

(-4, -8)

Step-by-step explanation:

Note that x in terms of y is x = 2y + 12.  Substitute 2y + 12 for x in the second equation:

5(2y + 12) + 3y = -44

or

10y + 60 + 3y = -44

Then 13y= -104, and y = -8

From the first equation we find x = 2(-8) + 12, or x = -16 + 12, or x = -4

Then the solution is (-4, -8)

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In the parallelogram below, solve for X<br> Options<br> 4<br> 10<br> 25<br> 100
Sever21 [200]

Answer:

4

Step-by-step explanation:

The sides of a parallelogram are parallel, which means 25x and 100 are alternate angles and therefore equal.

25x=100

x=4

7 0
3 years ago
A perfume company claims that the mean weight of ther new perfume is at least 8.9 fluid oz. Express the null hypothesis and the
zlopas [31]

Answer:

H0: mu = 8.9 fl oz.\\\\

Ha: mu ≠8.9 fluid oz

Step-by-step explanation:

Given that A perfume company claims that the mean weight of ther new perfume is at least 8.9 fluid oz

For testing this claim, in Statistics we perform a certain measures called hypothesis testing.

For this first step is to create null and alternate hypothesis.

Normally null hypothesis would have some statistic = something

Here we want to test the mean weight of perfume

Hence null hypothesis would be

H0: mu = 8.9 fl oz.

Alternate hypothesis would be opposite of this claim

i.e.

Ha: mu ≠8.9 fluid oz

Hence answer is

H0: mu = 8.9 fl oz.\\\\

Ha: mu ≠8.9 fluid oz

6 0
3 years ago
6. A semicircular disk of radius 3 ft. is revolved about its diameter (straight side) one complete revolution. Describe the soli
kaheart [24]

Answer:

) one complete revolution. Describe the solid determined by this revolution, and then find the volume of the solid.

Step-by-step explanation:

5 0
3 years ago
a dance team has 80 dancers.The ratio of seventh-grade dancers to all dancers is 5:16.Find the number of seventh-grade dancers o
PSYCHO15rus [73]

Answer:

  25

Step-by-step explanation:

Each of the 16 "ratio units" representing all 80 dancers must stand for ...

  (80 dancers)/(16) = 5 dancers

Then 5 "ratio units" representing seventh-grade dancers will stand for ...

  5 × 5 dancers = 25 dancers

___

Another way to figure this is to write the proportion ...

  (seventh-grade dancers)/(all dancers) = 5/16

  seventh-grade dancers = (all dancers)×(5/16) = 80×5/16

  seventh-grade dancers = 25

5 0
3 years ago
the ratio of the number of womens shoes to the number of mens shoes in a shoe store is 12:7. What fraction of the shoes are mens
stira [4]

7/19 are the fraction of men's shoes

explanation + example:

Use the total number as the denominator: 6 + 8 = 14

Use each of the ratio terms as the numerator in a fraction:

6 becomes 6/14

8 becomes 8/14

Reduce each fraction to lowest terms:

6/14 simplifies to 3/7

8/14 simplifies to 4/7

The part-to-part ratio 6 : 8 converts into the fractions:

6/14 = 3/7

8/14 = 4/7

4 0
3 years ago
Read 2 more answers
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