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Semenov [28]
2 years ago
9

Misty and Yesenia have a group of base ten blocks. Misty has six more blocks then Yesenia. Yesenia’s blocks represent 17. Togeth

er they have 22 blocks, and the total number of blocks represent 85. What blocks could each girl have? What is the value?
Mathematics
1 answer:
motikmotik2 years ago
6 0

We are given : Yesenia’s blocks represent 17.

<h3>Therefore, Yesenia has 1 ten block and 7 one blocks.</h3>

Misty has six more blocks then Yesenia and together they have 22 blocks.

<h3>Therefore, Misty has 6 ten blocks and 8 one blocks.</h3>

The total number of blocks represent 85.

Yesenia has blocks with a value 17.

<h3>Therefore, Misty has clocks with a value of 85-17 = 68.</h3>
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SVEN [57.7K]

Given p,q>0 and \log_9p=\log_{12}q=\log_{16}(p+q)=x (say).

Then,

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From the above 3 equations,

\frac{q}{p} =(\frac{12}{9} )^x\\ \frac{q}{p} =(\frac{4}{3} )^x\\ \frac{p+q}{p} =(\frac{16}{9} )^x\\ \frac{p+q}{p} =(\frac{4}{3} )^{2x}\\

From the equations, we get

\frac{p+q}{p}=(\frac{q}{p})^2\\ 1+\frac{q}{p}=(\frac{q}{p})^2\\ (\frac{q}{p})^2-\frac{q}{p}-1=0\\ \frac{q}{p}=\frac{1 \pm \sqrt{5}}{2}

Since p,q>0, the negative value is rejected.

\frac{q}{p}=\frac{1 + \sqrt{5}}{2}

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3 years ago
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2 years ago
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Answer:

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Step-by-step explanation:

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Now here, you have two of the same variables (x, y, etc). So, what you do is look at the last number that has the same variables, which is 4, and look at what the problem you will be solving, which is addition. So, very simply, you add then together!

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As you can see I kept the same variable. This is because, well, it is the same! Simply, just substitute in the 16× with the 8y. Now here is the tricky part, for some people. Do you see that there is a negative sign in front of the 8 (-)? Well! You have to substitute that in with the expression. No adding this or anything, just simply slide it next to the 16× because, we can not add nor subtract it with the 8y just because it has a different variable.

Your example answer would be: 16× - 8y

Hope this helps!

P.S. if you think this helped you at all, Brainliest me if ya want to. Have a great day!

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