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Orlov [11]
3 years ago
14

Question: Solve it using the proportion method.​

Mathematics
1 answer:
Hatshy [7]3 years ago
5 0
60% of what number is 348?

The answer is 580.
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Solve for x. Evaluate and round your answer to 1 decimal place(tenths place). 10x=1200
Mandarinka [93]

Answer:

<h2>x = 3.1</h2>

Step-by-step explanation:

<h3>{10}^{x}  = 1200</h3>

<u>To solve first take logarithm to both sides</u>

That's

<h3>log_{10}(10) ^{x}  =  log_{10}(1200)</h3><h3 /><h3>log_{10}(10)^{x}  = x log_{10}(10)</h3>

But

<h3>log_{10}(10)  = 1</h3>

So we have

x =  log_{10}(1200)

<u>Write 1200 as a number with the factor 100</u>

That's

1200 = 100 × 12

So we have

<h3>x =  log_{10}(100 \times 12)</h3>

<u>Using the rules of logarithms</u>

That's

<h3>log_{a}(x \times y)  =  log_{a}(x)  +  log_{a}(y)</h3>

Rewrite the expression

That's

<h3>x =  log_{10}(100)  +  log_{10}(12)</h3><h3 /><h3>x =  log_{10}(10)^{2}  +  log_{10}(12)</h3><h3>x = 2 log_{10}(10)  +  log_{10}(12)</h3><h3>log_{10}(10)  = 1</h3><h3 /><h3>x = 2 +  log_{10}(12)</h3>

x = 3.079

So we have the final answer as

<h3>x = 3.1 to one decimal place</h3>

Hope this helps you

8 0
3 years ago
Write 1,334,457. in 12 expanded form
Alchen [17]
1,000,000+3000,000+30,000+4,000+400+50+7
8 0
3 years ago
Can someone plz help me
dangina [55]

Answer:

4j+24k

Step-by-step explanation:

Expand by distributing terms.

4j+4\times 6k

4j+4×6k

2 Simplify  4\times 6k4×6k  to  24k24k.

4j+24k

4j+24k

3 0
3 years ago
if $5,000,000 isinvested at 4% interest compunded continuously, how much willl the investment be worth in 30 years
Katarina [22]
The answer is $16216987.55 (IMPORTANT: This is the answer assuming that the interest rate is annually. The quesiton says 'continuously' so I was a bit confused)

To solve this problem, you can use the compound interest formula. 

Here it is once you plug in the numbers: A = 5,000,000 ( 1 + .04) ^30

Just solve the equation to find the solution.


8 0
3 years ago
Find 10-3. Write the subtraction fact two ways.
love history [14]
This is a problem of fact families, but <em>what is fact families?</em> Well it is a family of four things. Two of them are additions and two of them are subtractions. So this question asks about fact families by w<span>riting the <em>subtraction fact two ways</em>. So we have:

</span><span>10-3

First way. So let's take the number 10 and explain this problem using triangles. Let's say that we have 10 triangles in the beginning:

</span>Δ Δ Δ Δ Δ
Δ Δ Δ Δ Δ

So I want to take away 3 triangles, then by taking away 3<em> what is left? </em>Well the answer is 7:

Δ Δ Δ Δ Δ
Δ Δ 

That is, if we subtract 3 from 10 then the result is:

10-3=7

Second way. In this subtraction we take the same 10 triangles:

Δ Δ Δ Δ Δ
Δ Δ Δ Δ Δ

Now I want to take away 7 triangles, then by taking away 7 what is left is 3:

Δ Δ Δ

That is, if we subtract 7 from 10 then the result is:

10-7=3

4 0
4 years ago
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