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3 years ago

HELP PLEASEEE IM STRUGGLING

Mathematics

1 answer:

Alisiya [41]3 years ago

5 0

Answer:

Step-by-step explanation:

We know that PS and QR are the same size since we are working with parallel sides of a parallelogram. We can write an equation and solve for z.

5z + 3 = 6z - 3

~Subtract 3 to both sides

5z = 6z - 6

~Subtract 6z to both sides

-z = -6

~Divide -1 to both sides

z = 6

Now, find the length of QR with what we found for z.

6z - 3

6(6) - 3

36 - 3

Best of Luck!

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Need help!!!!!!!!!!!

Ludmilka [50]

Does it say round your answer to the nearest hundredth?

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4 years ago

X + y = 152,<br><br> 8.5x + 12y = 1,656<br><br> How many hats were sold?

Elodia [21]

Answer:

x = 48 and y = 104

Step-by-step explanation:

Given equations are:

$x+y = 152\\8.5x+12y=1656$

From equation 1:

$x = 152-y$

Putting the value of y in equation 2

$8.5(152-y)+12y = 1656\\1292-8.5y+12y = 1656\\3.5y+1292 = 1656\\3.5y = 1656-1292\\3.5y = 364\\\frac{3.5y}{3.5} = \frac{364}{3.5}\\y = 104$

Now we have to put the value of y in one of the equation to find the value of x

Putting y = 104 in the first equation

$x+y = 152\\x+ 104 = 152\\x = 152-104\\x = 48$

Hence,

The solution of the system of equations is x = 48 and y = 104

The value of variable which was assumed for number of hats, is the total number of hats.

6 0

3 years ago

Given the mean 71.4 and sample standard deviation 11.5 what is the z-

Elenna [48]

Answer: 1.18

Step-by-step explanation:

Z = (x - mean) / standard deviation

Z = (85 - 71.4) / 11.5

Z = 13.6 / 11.5 = 1.18

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3 years ago

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Irina-Kira [14]

Answer:

$\overline{OT}=\textsf{line segment OT}$

Step-by-step explanation:

$\overline{OT}=\textsf{line segment OT}$

$\angle OT=\textsf{angle OT}$

$\longleftrightarrow\\OT=\textsf{line OT}$

$\overrightarrow{OT}=\textsf{ray OT}$

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Answer:

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Step-by-step explanation:

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