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andreyandreev [35.5K]
2 years ago
14

15.

Mathematics
1 answer:
alekssr [168]2 years ago
7 0

Answer:

  15. y = 6x

  16. x = 11

Step-by-step explanation:

15. A direct variation equation is of the form ...

  y = kx

Solving for k, we find ...

  k = y/x = 42/7 = 6

The equation is y = 6x.

__

16. Filling in the given values, we have ...

  66 = 6x

  11 = x . . . . . . . divide by 6

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A pair of shoes cost $120 but they are 25% Off;
Sever21 [200]

Answer:

Discount = $30, Final price = $90

Step-by-step explanation:

25% is one quarter. 120/4=30

One quarter of 120 is 30, so - 30 would give discounted price of $90.

Similarly you could think of it like the discounted price is 75% of the original one and do 120x0.75=90 to find 75% of 120.

Hope this helped!

3 0
3 years ago
A piece of wood is 12 feet long and a nail is 3 inches long. The piece of wood is how many times as long as the nail?
Softa [21]
The piece of wood is 48 times as long as the nail (12 feet = 144 inches) because 3 goes into 144 48 times.
7 0
3 years ago
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Use the equation below to find T, if w=85, m= 12, and a=3.<br> T=w-ma<br> T = 3,060<br> X<br> ?
saw5 [17]

Answer:

T = 49

Step-by-step explanation:

T = w - ma

w = 85

m = 12

a = 3

Plug in the corresponding numbers to the corresponding variables:

T = (85) - (12) * (3)

Remember to follow PEMDAS. PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplications

Divisions

Additions

Subtractions

First, multiply, then subtract:

T = 85 - (12 * 3)

T = 85 - 36

T = 49

T = 49 is your answer.

~

6 0
2 years ago
How many different triangles, if any, can be drawn with one 90° angle and side length of 5 cm and 12 cm?
FromTheMoon [43]
Only one triangle is able to be drawn with those measurements and angle

4 0
3 years ago
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Fill in the missing numbers to create equivalent ratios.
jasenka [17]

Step-by-step explanation:

The way to find missing numbers in equivalent ratios is to multiply the means (the first denominator and the second numerator) and multiply the extremes (the first numerator and the second denominator). It sounds really complicated, but it is quite simple =)

2/5 = x/10

The means in this equivalent ration are 5 and x. The extremes are 2 and 10.

5x = 20

Now solve =)

x = 4

That was pretty simple. Let's move on to the next one. Do exactly the same thing here:

4/10 = 6/x

60 = 4x

15 = x

That was pretty simple, too! Keep going!

6/15 = x/25

15x = 150

x = 10

All of these should be equal, so check them by dividing:

2/5 = 0.4

4/10 = 0.4

6/15 = 0.4

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They all check out, so these are your answers: 2/5, 4/10, 6/15, 10/25


I really hope this helps you =)

8 0
3 years ago
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