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3 years ago

What is the answer I’m not sure I’m right

Mathematics

1 answer:

trasher [3.6K]3 years ago

3 0

Answer:

x=0

Step-by-step explanation:

If you combine like terms it is x^2 +6x -27=-27

x^2 +6x =0

x^2=0

x=0

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The average heights of x number of girls and 15 boys is 123. if the average heights of boys is 125 and that of girls is 120.find

mamaluj [8]

Answer:

$x = 10$ . In other words, there number of girls is $10$ .

Step-by-step explanation:

The average of a number of measurements is equal to the sum of these measurements over the number of measurements.

$\displaystyle \text{Average} = \frac{\text{Sum of measurements}}{\text{Number of measurements}}$ .

Rewrite to obtain:

$\begin{aligned}& \text{Sum of measurements}= (\text{Number of measurements}) \times (\text{Average}) \end{aligned}$ .

For this question:

$\begin{aligned}& \text{Sum of heights of boys} \\ &= (\text{Number of boys}) \times (\text{Average height of boys}) \\ &= 15 \times 125 = 1875\end{aligned}$ .

$\begin{aligned}& \text{Sum of heights of girls} \\ &= (\text{Number of girls}) \times (\text{Average height of girls}) \\ &= x \times 120 = 120\, x\end{aligned}$ .

Therefore:

$\begin{aligned}& \text{Sum of boys and girls} \\ &= \text{Sum of heights of boys} + \text{Sum of heights of girls}\\ &= 1875 + 120\, x\end{aligned}$ .

On the other hand, there are $(15 + x)$ boys and girls in total. Using the formula for average:

$\begin{aligned}& \text{Average height of boys and girls} \\ &= \frac{\text{Sum of heights of boys and girls}}{\text{Number of boys and girls}} \\ &= \frac{1875 + 120\, x}{15 + x}\end{aligned}$ .

From the question, this average should be equal to $123$ . In other words:

$\displaystyle \frac{1875 + 120\, x}{15 + x} = 123$ .

Solve this equation for $x$ to obtain:

$1875 + 120\, x= 123\, (15 + x)$ .

$(123 - 120)\, x = 1875 - 123 \times 15$ .

$x = 10$ .

In other words, the number of girls here is $10$ .

5 0

3 years ago

Compute the weekly wages for the times given assuming a 40 hour week with time and a half for all overtime. Hourly wage: 10.50 a

kow [346]

you take 38 hours and multipy it by 10.50 is $399.00

3 0

3 years ago

Which value of a in the exponential function below would cause the function to stretch?

maxonik [38]

Answer:

“1.5”

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

What is the value of X

Sindrei [870]

The answer is: [C]: " 3 " .
____________________________________
Explanation:
__________________________________
4x - 1 = 2x + 5 ; Solve for "x" ;
__________________________________
Subtract "2x" from each side of the equation; and add "1" to each side of the equation:
___________________________________________________
4x - 1 - 2x + 1 = 2x + 5 - 2x + 1 ;
___________________________________________________
2x = 6 ;
_________________________________
Divide EACH side of the equation by "2" ; to isolate "x" on ONE side of the equation; and to solve for "x" ;
_________________________________
2x / 2 = 6 / 2 ;
_________________________________
x = 3 .
_________________________________
The answer is: [C]: " 3 " .
_________________________________

4 0

3 years ago

Lakeview is 101 miles from Springfield. Irania must go to the law library in Springfield to get a document for the law firm for

Arlecino [84]

Answer: Approximately 4.1224 hours

4.1224 hours = 4 hours, 7 minutes, 21 seconds approximately

===========================================

Work Shown:

d = distance = 2*101 = 202 miles

r = rate or speed = 49 mph

t = time = unknown

d = r*t

202 = 49*t

49t = 202

t = 202/49

t = 4.1224 hours approximately

--------------

If you want to convert to hours,minutes,seconds, then...

4.1224 hours = 4 hours + 0.1224 hours

4.1224 hours = 4 hours + (0.1224*60) min

4.1224 hours = 4 hours + 7.344 min

4.1224 hours = 4 hours + 7 min + 0.344 min

4.1224 hours = 4 hours + 7 min + (0.344*60) sec

4.1224 hours = 4 hours + 7 min + 20.64 sec

4.1224 hours = 4 hours + 7 min + 21 sec ..... approximate

4.1224 hours = 4 hours, 7 min, 21 sec .... also approximate

Note: this time value is driving time only. It does not take into account any time spent at the law library or any other stops.

4 0

3 years ago