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2 years ago

POSSIBLE POINTS: 3.33

Mathematics

1 answer:

Triss [41]2 years ago

3 0

Answer:

From the information given, you can write the following system of equations:

x+y+z=16 (1)

5x+4.5y+5.5z=82 (2)

z=x+y (3)

You can replace (3) in (1) and (2):

x+y+x+y=16

2x+2y=16 (4)

5x+4.5y+5.5(x+y)=82

5x+4.5y+5.5x+5.5y=82

10.5x+10y=82 (5)

Now, you have the following equations:

2x+2y=16 (4)

10.5x+10y=82 (5)

You can isolate x in (4):

2x=16-2y

x=8-y (6)

Then, you have to replace (6) in (5):

10.5(8-y)+10y=82

84-10.5y+10y=82

84-82=10.5y-10y

2=0.5y

y=2/0.5

y=4

Now, you can replace the value of y in (6) to find x:

x=8-4

x=4

Finally, you can replace the vaue of x and y in (3) to find z:

z=4+4

z=8

According to this, she should buy 4 apple pies, 4 banana pies and 8 chocolate pies.

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The difference between the most hours of sleep and the least of these students was 2.5 hours. True or false?

SashulF [63]

The correct anwer is False

Explanation

According to the graph, it can be seen that a student has four hours of sleep as the minimum number of hours of sleep; two students have six hours of sleep, four students have six and a half hours of sleep, four have seven hours of sleep, three have seven and a half hours of sleep, five have eight hours of sleep, and one has eight and a half hours of sleep as maximum hours of sleep. Therefore, it can be affirmed that the statement that the difference between the maximum amount and the minimum number of hours is two and a half hours is false because between four hours and eight and a half hours there are four and a half hours of difference. So, the correct answer is False.

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2 years ago

If 12 less than 4 times a number is 8, the number is 5. Write a different sentance where the unknown number is also 5.

anastassius [24]

Two times a number minus 4 is six. (2*5-4=6)

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3 years ago

Read 2 more answers

A new car is purchased for 17600 dollars. The value of the car depreciates at 11.75% per year. What will the value of the car be

Liula [17]

Answer:

The answer would be 4,450

Step-by-step explanation:

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2 years ago

Find the value of'y'from the given figure<br><img src="https://tex.z-dn.net/?f=class8" id="TexFormula1" title="class8" alt="clas

telo118 [61]

Answer:

$y = 30$

<u>Skills needed: Angle Geometry</u>

Step-by-step explanation:

1) First, let's see what we should know prior to solving.

---> We have to find the value of $y$ , and looking at that diagram, we have to create an equation.

---> The angle measure of a straight line is 180 degrees, otherwise known as a straight angle (a straight angle is 180 degrees).

---> When you add $3y+3y$ , you can set that sum equal to 180. This is because the two angles marked $3y$ added together make a straight line, which is a straight angle.

(Note: In geometry, ONE OF THE THINGS WE CAN ASSUME is that there is a straight line there.)

-------------------------------------------------------------------------------------------------------------

2) Now, the equation would be:

$3y+3y=180$

$6y=180$ --> Combining $3y$ and $3y$ (3+3 = 6)

$y = 180\div6$ --> Dividing by 6 on both sides, to get $y$ by itself.

$y=30$ ---> $180 \div 6$ is 30, so $y$ is equal to 30.

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$y=30$

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2 years ago

Alexis is working for a GPS company. The GPS software has recently been updated with a new algorithm and Alexis needs to

love history [14]

Answer:

2root(58) == 15.23 miles

Step-by-step explanation:

Find distance between two points --> root( (x2 - x1)^2 + (y2 - y1)^2 ) = root (3^2 + 7^2) = root ( 58), as one unit is two miles then 2* root(58) = 15.23 miles.

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2 years ago