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3 years ago

Toms age minus bobs age is 2 bobs age is 82 less than three times toms age how old is Tom and bob

1 answer:

8 0

Answer: Tom's age is 40 and Bob's age is 38.

To answer this problem, you must write the 2 equations given in the directions.

They could be:

t - b = 2 and b = 3t - 82

Input the second equation into the first equation at the variable be and solve.

t - (3t - 82) = 2
t - 3t + 82 = 2
-2t + 82 = 2
-2t = -80
t = 40

So Tom is 40. And since t - b = 2, Bob must be 38.

You might be interested in

Solve the quadratic equation by taking square roots. Allow for imaginary solutions. Enter your answer in simplest form. Equation

borishaifa [10]

5x^2 - 5 = -17

First add 5 to both sides:

5x^2 = -12

Now, divide by 5

x^2 = -12/5

Take the square root of both sides

x = sqrt -12/5

Because there can't be a square root of a negative number, your answer is:

x = sqrt -12/5 * i

Hope this helps!

4 0

3 years ago

If an ordered pair was added to the table, which of the following pairs would result in the table becoming not a function. (-3,

frosja888 [35]

Answer:

the answer is a I just took the test and its right

Step-by-step explanation:

8 0

3 years ago

What numbers are perfect numbers

alekssr [168]

A perfect number is a number where the sum of its divisors is equal to the number.

For example 6: 1 + 2 + 3 = 6

Another example is 28: 1 + 2 + 4 + 7 + 14 = 28

Here is a short list of perfect numbers: 6, 28, 496, 8128, 33550336, and the numbers get way bigger as we go on.

5 0

4 years ago

I’m a given rectangle the shorter side is 2 units less than the longer side. If we let the longer side be represented as the var

jarptica [38.1K]

Answer:

4(x-1)units

Step-by-step explanation:

In a given rectangle, the length of the rectangle is the shorter side while its breadth is the longer side.

Since we have 2 lengths and 2 breadths in a rectangle, the perimeter of the rectangle will be 2L+2x where

L is the length(shorter side) and x is the breadth (longer side).

According to the question, the shorter side(L) is 2 units less than the longer side(x). Mathematically,

L = x-2

Substituting L = x-2 into the formula of perimeter of a rectangle we have,

P = 2(x-2) + 2x

P = 2x-4+2x

P = 4x-4

P = 4(x-1)

The perimeter of the rectangle will be 4(x-1)units

7 0

3 years ago

N = 9

g100num [7]

Answer:

The p-value is 0.809.

Step-by-step explanation:

In this case we need to perform a significance test for the standard deviation.

The hypothesis is defined as follows:

H₀: σ₀ = 4 vs. Hₐ: σ₀ ≤ 4

The information provided is:

n = 9

s = 3

Compute the Chi-square test statistic as follows:

$\chi^{2}=\frac{(n-1)s^{2}}{\sigma_{0}^{2}}$

$=\frac{(9-1)\cdot (3)^{2}}{(4)^{2}}\\\\=\frac{8\times 9}{16}\\\\=4.5$

The test statistic value is 4.5.

The degrees of freedom is:

df = n - 1

= 9 - 1

= 8

Compute the p-value as follows:

$p-value=P(\chi^{2}_{9}>4.5)=0.809$

*Use a Chi-square table.

Thus, the p-value is 0.809.

7 0

3 years ago