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4 years ago

Write an equivalent expression for n times a using only addition

1 answer:

8 0

Whenever you multiply something, you just add it to itself that many times.

ex) 7 × 4 = 7 + 7 + 7 + 7.

Thus n × a = n + n + n + n....a times.

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x2 + 3x - 40 = ( _ + _ ) ( _ - _ ) help fill in the blanks my math teacher is terrible and I can’t figure it out ☹️

Whitepunk [10]

x2 +3x-40= x2+8x-5x-40=x(x+8)-5(x+8)=. (x+8) (x-5).

8 0

3 years ago

What is the value of x?<br> pls help im so confused

Makovka662 [10]

In the proportional theory,

28 units is the total measurement that includes 8 units.

So, 10 + 3x - 5 is the total measurement that includes 10 units proportionally.

This means,

28 = 10 + 3x - 5

Now solve for x,

28 = 10 + 3x - 5

28 - 10 = 3x - 5

18 + 5 = 3x

23 = 3x

23 / 3 = x

So x = 23/3 or 7.6666....

5 0

3 years ago

Paul biked 55 miles in 10 hours . what is the unit rate of miles per hour

irinina [24]

Answer:

5.5 miles per hour

Step-by-step explanation:

Since he travels a total of 55 miles in 10 hours, you need to divide.

55/10 = 5.5

total hours/total miles = miles per hour

3 0

3 years ago

Read 2 more answers

Following are heights, in inches, for a sample of college basketball players. 78 83 82 78 78 80 81 79 79 83 77 78 84 82 80 80 82

blagie [28]

The mean height of the basketball players is 80.3 inches

For given question,

we have been given the list of heights, in inches, for a sample of college basketball players.

We need to find the mean height of the basketball players.

We know that, for given sample of data

mean = sum of all observations ÷ total number of observation

First we find the sum of given heights.

78 + 83 + 82 + 78 + 78 + 80+ 81 +79+ 79 +83+ 77 +78+ 84+ 82+ 80+ 80 +82+ 84+78+ 80 = 1606

Total number of observations = 20

Using the formula of mean,

⇒ mean height = 1606/20

⇒ mean height = 80.3 inches

Therefore, the mean height of the basketball players is 80.3 inches

Learn more about the mean here:

brainly.com/question/6813742

#SPJ4

3 0

1 year ago

Explain how you know which method you should use to solve a rational equation.

notsponge [240]

<u>Methods to solve rational equation:</u>

Rational equation:

A rational equation is an equation containing at least one rational expression.

Method 1:

The method for solving rational equations is to rewrite the rational expressions in terms of a common denominator. Then, since we know the numerators are equal, we can solve for the variable.

For example,

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

This can be used for rational equations with polynomials too.

For example,

$\frac{1+x}{x-3}=\frac{4}{x-3}\Rightarrow(1+x)=4 \Rightarrow x=3$

When the terms in a rational equation have unlike denominators, solving the equation will be as follows

$\frac{x+2}{8}=\frac{3}{4}$

$\Rightarrow\frac{x+2}{1}=\frac{3\times8}{4}\Rightarrow{x+2}=2\times3$

$\Rightarrow{x+2}=6\Rightarrow x=6-2\Rightarrow x=4$

Method 2:

Another way of solving the above equation is by finding least common denominator (LCD)

$\frac{x+2}{8}=\frac{3}{4}$

Factors of 4: $1\times2\times2$

Factors of 8: $1\times2\times2\times2$

The LCD of 4 and 8 is 8. So, we have to make the right hand side denominator as 8. This is done by the following step,

$\Rightarrow\frac{x+2}{8}=\frac{3}{4}\times{2}{2}$

we get,

$\Rightarrow\frac{x+2}{8}=\frac{6}{8}$

On cancelling 8 on both sides we get,

$\Rightarrow(x+2)=6\rightarrow x=6-2\rightarrow x=4$

Hence, these are the ways to solve a rational equation.

7 0

3 years ago