3 years ago

Which of the following data could be graphed using a dot plot ?

Mathematics

1 answer:

kotegsom [21]3 years ago

6 0

Answer:

number of cards in a house hold and number of siblings

Step-by-step explanation:

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Use the properties of exponents to rewrite the expression <br> 3•b•b•b•b•b•c•c•c•c•c

frosja888 [35]

$3\cdot b\cdot b\cdot b\cdot b\cdot b\cdot c\cdot c\cdot c\cdot c\cdot c =3b^5c^5$

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Solve the equation (linear equation)<br><br> <img src="https://tex.z-dn.net/?f=8%5E%7B2x%2B7%7D%20%3D%20%28%5Cfrac%7B1%7D%7B32%7

Minchanka [31]

Answer: $x=-1$

Step-by-step explanation:

By the negative exponent rule, you have that:

$(\frac{1}{a})^n=a^{-n}$

By the exponents properties, you know that:

$(m^n)^l=m^{(nl)}$

Therefore, you can rewrite the left side of the equation has following:

$(\frac{1}{8})^{-(2x+7)}=(\frac{1}{32})^{3x}$

Descompose 32 and 8 into its prime factors:

$32=2*2*2*2*2=2^5\\8=2*2*2=2^3$

Rewrite:

$(\frac{1}{2^3})^{-(2x+7)}=(\frac{1}{2^5})^{3x}$

Then:

$(\frac{1}{2})^{-3(2x+7)}=(\frac{1}{2})^{5(3x)}$

As the base are equal, then:

$-3(2x+7)=5(3x)$

Solve for x:

$-6x-21=15x\\-21=15x+6x\\-21=21x\\x=-1$

8 0

4 years ago

Temka [501]

Answer:

Step-by-step explanation:

In ΔPQR,

length of side=

77= 7×11

84= 12

Similarly, In ΔFGH

length=

36=3×12

so, the other side= 3×11= 33

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An apple orchard sells apples in bags of 10. The orchard sold a total of 2430 apples one day. How many bags of apples was this?

Shtirlitz [24]

To figure out how many bags of apples were sold, we first have to divide 2,430 by 10

2,430 ÷ 10 = 243

Let’s check our work:

243 x 10 = 2,430

Therefore, the apple orchard sold 243 bags of apples

Hope this helps

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The sales tax in one state is 5%. Write a function rule for finding the total cost of an item with selling price x. Then find th

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The total cost of a CD player would be 104.76

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