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3 years ago

Shelby is seven times as old as Bonnie. In 5 years the sum of Bonnie and Shelby's ages is 98 find Bonnie's present age.

Mathematics

1 answer:

AlexFokin [52]3 years ago

5 0

Answer:

The answer is 14

Step-by-step explanation:

Step 1 Write out an expression

So since Shelby is 7 times Bonnie, Bonnie is x years old that time. So the expression is S=7x

Step 2 Plug in

Now Shelby is 98 so all u have to do is now plug in what you have in the expression.

98=7x

Step 3 solve

98=7x

divide 7 on both sides and you get:

14=x

so Bonnie is currently 14

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7 is one tenth of what number

Sloan [31]

<u><em>Answer:</em></u>

<u><em>Explanation:</em></u>

Assume that the number we are looking for is x

one tenth is interpreted into $\frac{1}{10}$

Now, we know that one tenth of the number is 7, this means that:

$\frac{1}{10}$ * x = 7

Solve for x by multiplying both sides of the equation by 10, we get:

$\frac{1}{10}$ * x * 10 = 7 * 10

x = 70

Hope this helps :)

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3 years ago

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50+51+52+...+101=...<br>Can you help me? I do not understand

Dmitriy789 [7]

Suppose

$S=50+51+52+\cdots+100+101$

At the same time, we can write

$S^*=101+100+99+\cdots+51+50$

Note that $S=S^*$ (just reverse the sum). Let's pair the first terms of $S$ and $S^*$ , and the second, and the third, and so on:

$S+S^*=(50+101)+(51+100)+(52+99)+\cdots+(100+51)+(101+50)$

Now, each grouped term in the sum on the right side adds to 151. There are 52 grouped terms on that same side (because there are 50 numbers in the range of integers 51-100, plus 50 and 101), which menas

$S+S^*=52\cdot151$

But $S=S^*$ , as we pointed out, so

$2S=52\cdot151\implies S=\dfrac{52\cdot151}2=3926$

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3 years ago

What is the value of 5⁸

zimovet [89]

Answer:

390625

Step-by-step explanation:

5x5x5x5x5x5x5x5

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3 years ago

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The product of 1540 and m is a square number. find the smallest possible value of m

aliina [53]

The smallest possible value of m according to the task is; 1/1540.

<h3>What is the smallest possible value of m?</h3>

Since it follows from the task content that the product of 1540 and m is a square number and the smallest possible small number is; 1.

The equation which holds true is; 1540 × m = 1

Consequently, m = 1/1540.