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9966 [12]
3 years ago
8

Find the greatest number of children to whom 125 pens 175 pencil can be divided equally.

Mathematics
1 answer:
Nataliya [291]3 years ago
6 0

Answer:

25 children

So , each child will get 25 pens and 7 pencils

You have to find the highest common factor of 125 and 175 which is 25 and then you have to multiply it by those two numbers to find how may pens and pencils will be given to 1 child

Hope this helps and pls mark as brianliest :)

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Information reference tables what is the solution set of the equation log4 (x2 + 3x) − log4 (x + 5) = 1?
faust18 [17]
Use this property of logarithms:

\log_b\left(\dfrac{x}{y}\right)=\log_b x-\log_b y

Your equation transforms into:

log_4\left(\dfrac{x^2+3x}{x+5}\right)=1

Now, you have to apply the definition of a logarithm to express the equation in exponential form:

\dfrac{x^2+3x}{x+5} = 4^1

In case you don't remember, this is the definition of a logarithm:

\log_b x = y \iff b^y = x

The log is the exponent (y) you have to raise the base (b) to in order to get the power (x).

Finally, solve the rational equation:

\dfrac{x^2+3x}{x+5} =4 \iff x^2+3x=4(x+5)
\iff x^2-x-20=0
\iff x=\dfrac{1\pm\sqrt{(-1)^2-4\cdot(-20)}}{2}= \left \{ {{5} \atop {-4}} \right.

The correct answer is d.
5 0
3 years ago
Please help last question
Helga [31]

Find the total of male students:

4 + 6 + 2 + 2 = 14 total males.

There are 2 male juniors.

The probability of a male being a junior is 2/14 = 1/7 = 0.143 = 14.3 = 14%

6 0
3 years ago
Read 2 more answers
State the slope and the y-intercept for the graph of the equation. y= -2
kotegsom [21]

Answer: 0; -2

Step-by-step explanation:

Data: y-intercept=x and slope=x

Equation=y=-2

Only step, Point out the y-intercept and slope

-2=y-intercept

0=slope

Reason: Since there is no visible slope, the placeholder would be 0 therefore the slope would be 0, -2 is the only number left so that means the only number that can be y-intercept is -2.

That is why the slope is 0 and the y-intercept is -2

I hope this helps!

5 0
2 years ago
The table below shows the cost of riding in a taxi cab. What is the rate of change?
hjlf
Choose any 2 points from the table:

<span>*10----------------------$25
*15----------------------$35
*20----------------------$45
*25----------------------$55

and find the slope of the line.  Supposing we focus on

</span>*15----------------------$35
*20----------------------$45

then:
                     $45-$35         $10
slope = m = ------------- = ---------- = $2/mile
                       20-15              5
3 0
3 years ago
A 180 pound weight is supported by two ropes each at 30 degrees, as shown in the figure. Find the tension in each rope.
Anit [1.1K]

Answer:

103.9 lb.

Step-by-step explanation:

T cos 30°+T cos 30°=180

2T cos 30°=180

T=103.9 lb.

6 0
2 years ago
Read 2 more answers
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