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Norma-Jean [14]
3 years ago
6

Write the following sentence as an equation. The quotient of 120 and twice 20 is equal to 3.

Mathematics
1 answer:
pshichka [43]3 years ago
5 0

Answer:

Check the answer. 1. ... 5 times a number plus 8 is equal to 3 times the number minus 4. 7 times a ... Twice a number is equal to 5 times the sum of the number and 6. The product ... If the equation is an identity, write the answer as “All real numbers.

Step-by-step explanation:

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In order to qualify for a role in a play, an actor must be taller than 64 inches but shorter than 68 inches. The inequality 64 &
netineya [11]

Answer: x > 64 and x < 68 is another way of rewriting inequality.

Step-by-step explanation:

To qualify for a role in a play, an actor must be taller than 64 inches but shorter than 68 inches.

⇒The inequality 64 < x < 68, where x represents height,gives the range of height.

⇒In other words range of height can be x > 64 and x < 68 , such that both conditions are applied to single actor.

[with the use of or it will appear to give priority by actor to follow any 1 conditon]

8 0
2 years ago
Use the following image to assist in your answer.<br> a =<br> - 6<br> - 9<br> - 4
vfiekz [6]

Step-by-step explanation:

Pythagoras' theorem for the smallest one :

c^2 = 4^2 + 6^2

c^2 = 16 + 36

c^{2} = 52

Pythagoras' theorem for the middle one :

b^{2} = 6^{2} + a^{2}

Pythagoras' theorem for the biggest one :

(4+a)^2 = c^2 + b^2

16 + 8a + a^2 = 52 + b^2

Using the formula before (for b^2) it becomes :

16 + 8a + a^2 = 52 + (6^2 + a^2)

16 + 8a + a^2 = 52 + 6^2 + a^2

16 + 8a = 52 + 6^2

16 + 8a = 52 + 36

16+8a = 88

8a = 88-16

8a = 72

a = \frac{72}{8}

a = 9

Verifying :

b^2 = 6^2 + a^2

b^2 = 36 + 81

b^2 = 117

b^{2} = 117

The biggest one :

(4+a)^2 = c^2 + b^2

(4+9)^2 = 52 + 117

13^2 = 169

True

8 0
2 years ago
Scaler factor of 1/2
olasank [31]

Dilation by a scale factor of 1/2 followed by a translation of 1.5 units down.

<h3>What is dilation?</h3>

Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller.

Here, △ HIJ are:

IH = 3

IJ = 4

then using the scale factor = 1/2 we get

Therefore, we have:

I'H '= 1.5

I'J '= 2

Hence, dilation by a scale factor of 1/2 followed by a translation of 1.5 units down.

Learn more about this concept here:

brainly.com/question/1011146

#SPJ1

3 0
2 years ago
If a 50 ft flagpole casts a 95 ft shadow, then how long is the shadow that a 5 ft tall of man casts ?
lesantik [10]

9.5 feet,to find that you must find out how many times longer the shadow of the pole is than the pole, and to do that you must divide 95 by 50, in which you get 1.9. And then to find the length of the shadow the man casts you must multiply his height by 1.9.

8 0
3 years ago
6. If you spun the spinner below, what are the odds that you will spin an
denis23 [38]

If you mean that is a 4 digit number then here is your answer.

Answer:

1:1

Step-by-step explanation:

So there is 1000 to 9999. That includes 9999-999= 9000 numbers. Since each number it is either a odd number or an even number, we can say that it is 1:1 There would be 4500 odd and 4500 even numbers. Every even number is followed by an odd number. for example: 1000-1001 1002-1003 1004-1005

so on so you would get to the point that you get to 9998-9999

Hope it helped you!

8 0
3 years ago
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