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2 years ago

Do you guys mind helping me with this question

Mathematics

1 answer:

vampirchik [111]2 years ago

6 0

Answer:

4 and 6

Step-by-step explanation:

Judging by the table and how x = 1 and y = 2, you can estimate that y is twice as much as x.

This is supported by the equation, if you take 2 and multiply it by x (1) and take 3 and multiply it by y (2), then add the 2x1 (2) and 3x2 (6), you should get 8.

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For each sentence below, find the value of x that makes each sentence true.

vitfil [10]

ANSWER

1. $x=\frac{1}{2}$

2. $x=1$

QUESTION 1

The first sentence is $(5^{\frac{1}{5}})^5=25^x$ .

Recall that;

$(a^m)^n=a^{mn}$

We simplify the left hand side by applying this property to get;

$5^{\frac{1}{5}\times 5}=25^x$ .

$\Rightarrow 5^{1}=25^x$ .

We now rewrite the right hand side too in an index form to obtain;

$\Rightarrow 5^{1}=5^{2x}$

We now equate the exponents to get;

$\Rightarrow 1=2x$ .

$\Rightarrow \frac{1}{2}=x$

$\Rightarrow x=\frac{1}{2}$ .

QUESTION 2

The second sentence is $(8^{\frac{1}{3}})^2=4^x$

We simplify the left hand side first to get;

$(2^{3\times \frac{1}{3}})^2=4^x$

$2^2=4^x$

We now rewrite the left hand side too in index form to obtain;

$2^2=2^{2x}$

We equate the exponents to get;

$2=2x$

This implies that;

$1=x$

$x=1$

4 0

2 years ago

Express 3m24cm in kilometers,leaving your answer in standard form

erastova [34]

Answer:

0.00324 kilometres

Step-by-step explanation:

Remember:

100 centimeters = 1 meter

1000 meters = 1 kilometer

So first, let's add together the meters and centimeters. To do that, we have to convert the meters to centimeters. That would become 300 centimeters, then you add the 24 centimeters to get 324 centimeters. Then, you convert that to kilometers. You can use a calculator for this, but I'll show you how to do this without a calculator. Since 100 centimeters is one meter, and 1000 meters equals to one kilometer, there would be 5 spaces from 324 to our answer, so you move the invisible decimal point 5 spaces to the left, and you get your answer, which is 0.00324 kilometres!

7 0

2 years ago

Read 2 more answers

The front of Rosie's house is similar in shape to the front of Sparky's doghouse. The base of the doghouse is 6 feet and the hei

Shtirlitz [24]

Answer:

33feet

Step-by-step explanation:

If the base of the doghouse is 6 feet and the height is 5 feet, we can write;

6 feet base = 5 feet height

To get the length of the base if the height is 27.5feet

x feet base = 27.5 feet high

Divide both expressions

6/x = 5/27.5

5x = 6 * 27.5

5x = 165

x = 165/5

x = 33ft

Hence the length of its base will be 33feet

4 0

2 years ago

What is 5/6 ÷ 10/21 (show ur work)

stich3 [128]

Answer:

105/61 is the answer for 5/6 ÷ 10/21

8 0

2 years ago

Find the area of the semicircle.

Nina [5.8K]

Answer:

Area of a 25.135

3 0

2 years ago