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krok68 [10]
2 years ago
10

Two squares have areas of 4 cm?

Mathematics
1 answer:
timofeeve [1]2 years ago
3 0

Answer:

1/2

Step-by-step explanation:

First square area = 4cm^2, thus the side length is 2cm

Second square area = 16cm^2, thus the side length is 4cm

This gives a ratio of 2/4, simplifying yields 1/2

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Solve the equation. Check your solution.<br> 3x+4x-8=6<br> x= <br> ​(Simplify your​ answer.)
KengaRu [80]

Answer:

<h2>x=2</h2>

Step-by-step explanation:

Isolate x

3x + 4x - 8 = 6

             +8    +8

3x + 4x = 6 + 8

Simplify

3x + 4x = 6 + 8

7x = 14

Divide both sides by 7

7x/7 = 14/7

x = 2

6 0
3 years ago
Sarah and Jean were able to sell 4 dozen of cupcakes in a hour at a school fair if this rate continue how many dozen s of cupcak
Alik [6]

Answer:

Step-by-step explanation:

Firstly,

We can tell by reading the question that they sell 48 cupcakes witch is 4 dozens every hour so if they continue to sell at that same rate then:

There are 8 hours between 9am and 5pm

∴ It is 48:1

That means 48 cupcakes per hour this is equation is a direct proportion so if any number increases so will the other

So if it is 48:1 then x:8 with be = 48x8

∴ Sarah and Jean will be able to sell 384 cupcakes

7 0
2 years ago
Each figure shows a pair of similar triangles, one contained in the other.
Alecsey [184]

Dilation involves enlarging or reducing the size of a shape.

The scale factor of dilation is 1/6

From the complete question, the side lengths of corresponding sides of both triangles are:

AC =18cm

AC' =3cm

This means that, the larger triangle is ABC, while the smaller triangle is AB'C'.

So, the scale factor of dilation from the larger triangle to the smaller triangle is:

k = \frac{AC'}{AC}

This gives

k = \frac{3cm}{18cm}

Remove the common units

k = \frac{3}{18}

Reduce fraction

k = \frac 16

Hence, the scale factor of dilation is 1/6

Read more about dilation at:

brainly.com/question/3457976

7 0
2 years ago
How long does it take an account with a principal of $500 to earn $75 in interest at a simple annual interest rate of 3%?
algol13

Answer:

about 5 years

Step-by-step explanation:

year 1)500*0.03= 15

year 2)515*0.03= 15.45+515=530.45

year 3)530.45*0.03= 15.91+530.45=546.36

year 4)546.36*0.03=16.39+546.36=562.75

year 5)562.75*0.03=16.88+562.75=579.63

7 0
3 years ago
Solve the compound inequality.
kondaur [170]

Answer:

x can be any real number

Step-by-step explanation:

5x<=21+2x

Or

3(x+1)>=24

5x-2x<=21

Or

3x+3>=24

3x<=21, i.e x<=7

Or

3x>=21, i.e x>=7

Since we have OR, at least one of them must be true. So x can be any real number.

8 0
3 years ago
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