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3 years ago

Martha earns $24 in four hours. How much would she earn in 10 hours?

Mathematics

2 answers:

Masteriza [31]3 years ago

6 0

Answer:

$60

Step-by-step explanation:

24/4=6

6*10=60

Dafna11 [192]3 years ago

3 0

Answer:

$60

Step-by-step explanation:

24 ÷ 4 = 6

6 × 10 = 24

she makes $6 an hour. $60 in ten hours.

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Simplify

Fofino [41]

Answer:

Step-by-step explanation:

Here you go mate

Step 1

8m+4n+7m-2n Equation/Question

Step 2

8m+4n+7m-2n Simplify

8m+4n+7m-2n

Step 3

8m+4n+7m-2n Combine terms

(8m+7m)+(4n+-2n)

Step 4

(8m+7m)+(4n+-2n) Add them

answer

15m+2n

Hope this helps

5 0

3 years ago

This is Mrs. Galicia’s solution for the equation. Is Mrs. Galicia’s solution correct? Explain in complete sentences also, what a

horrorfan [7]

Given:

Given that Mrs. Galicia’s solution for the equation.

We need to determine whether Mrs. Galicia’s solution is correct or not.

Also, we need to determine the correct solutions.

Mrs. Galicia’s solution:

Step 4: $(x-4)^2=25$

Step 5: $x-4=25$

After step 4, Mrs. Galicia’s did not take square root on both sides to determine the value of x.

Thus, Mrs. Galicia’s made in mistake in step 5, by solving the equation without taking square root on both sides.

Hence, Mrs. Galicia’s solution is wrong.

Correct solutions:

The equation is $x^{2} -8x-9=0$

Solving, we get;

$x^2-8x=9$

Completing the square, we have;

$x^2-8x+16=9+16$

$(x-4)^2=25$

Taking square root on both sides, we get;

$x-4=\pm 5$

Thus, the values of x are given by

$x-4=5$ and $x-4=-5$

$x=9$ and $x=-1$

Thus, the correct solutions are x = 9 and x = -1

6 0

3 years ago

an insect population grows at a rate of 25% per year.if its initial population is 4.2 million what will be its population in thr

marusya05 [52]

The population after 3 years would be 8.20 millions.

Step-by-step explanation:

Given,

Initial population = I = 4.2 million

Growing rate = r = 25%

If the initial population and growing rate is given, the formula to calculate the population (x) after n years would be:

$x = I * (1 + \frac{r}{100} )^{n}$

By putting the values in the equation, we get

$x = 4.2 * (1 + \frac{25}{100} )^{n}$

The population after 1st year (x1) would be

$x1 = 4.2 * (1 + \frac{25}{100} )^{1}$

x1 = 5.25 million

Similarly,

$x2 = 4.2 * (1 + \frac{25}{100} )^{2}$

x2 = 6.56 million

$x3 = 4.2 * (1 + \frac{25}{100} )^{3}$

x3 = 8.20 million

Hence, the population after 3 years would be 8.20 millions.

But, if you are asking about the total population at that time. It would be

I + x1 + x2 + x3 = 24.21 million

7 0

4 years ago

I don't understand how to do

BartSMP [9]

Angle A= angle B
angle C= angle a(2)
a+a+2a=180 (since all triangles equal 180 degrees)
180=4a
180/4
a=45
angle A and angle B both equal 45 degrees. Angle C equals 90 degrees.

8 0

4 years ago

An astronaut on the moon throws a baseball upward. The astronaut is 6 ft 6 in tall, and the initial velocity of the ball is 40 f

weqwewe [10]

Answer:

t = 0.293 s and 14.52 s

Step-by-step explanation:

The heights of the ball in feet is given by the equation as follows :

$S = -2.7t^2+40t+6.5$

Where t is the number of seconds after the ball was thrown.

We need to find is the ball 18 ft above the moon's surface.

Put S = 18 ft

$-2.7t^2+40t+6.5=18\\\\-2.7t^2+40t=18-6.5\\\\-2.7t^2+40t-11.5=0$

It is a quadratic equation. Its solution is given by :

$t=\dfrac{-40+\sqrt{40^{2\ }-4\left(-2.7\right)\left(-11.5\right)}}{2\left(-2.7\right)},\dfrac{-40-\sqrt{40^{2\ }-4\left(-2.7\right)\left(-11.5\right)}}{2\left(-2.7\right)}\\\\t=0.293\ s,14.52\ s$

So, the ball is at first 0.293 s and then 14.52 s above the Moon's surface.

8 0

3 years ago