All categories

2 years ago

Help me with number three plzzzz i took a picrure below

Mathematics

1 answer:

kvasek [131]2 years ago

3 0

All you have to do to solve this problem is to put it into fraction form: if for every $4 Jo makes, Leila makes $3, then the fraction would be 3/4.

To solve this divide 60 by 4 to get 15 and then multiply 15 by 3 to get Leila's pay. 15*3=45

Check it by putting it into simplest form as a fraction to see if it checks:

45/60=3/4 and 3/4=3/4 so therefore Leila makes $45 in profit

You might be interested in

If we inscribe a circle such that it is touching all six corners of a regular hexagon of side 10 inches, what is the area of the

Brrunno [24]

Answer:

$\left(100\pi - 150\sqrt{3}\right)$ square inches.

Step-by-step explanation:

<h3>Area of the Inscribed Hexagon</h3>

Refer to the first diagram attached. This inscribed regular hexagon can be split into six equilateral triangles. The length of each side of these triangle will be $10$ inches (same as the length of each side of the regular hexagon.)

Refer to the second attachment for one of these equilateral triangles.

Let segment $\sf CH$ be a height on side $\sf AB$ . Since this triangle is equilateral, the size of each internal angle will be $\sf 60^\circ$ . The length of segment

$\displaystyle 10\, \sin\left(60^\circ\right) = 10 \times \frac{\sqrt{3}}{2} = 5\sqrt{3}$ .

The area (in square inches) of this equilateral triangle will be:

$\begin{aligned}&\frac{1}{2} \times \text{Base} \times\text{Height} \\ &= \frac{1}{2} \times 10 \times 5\sqrt{3}= 25\sqrt{3} \end{aligned}$ .

Note that the inscribed hexagon in this question is made up of six equilateral triangles like this one. Therefore, the area (in square inches) of this hexagon will be:

$\displaystyle 6 \times 25\sqrt{3} = 150\sqrt{3}$ .

<h3>Area of of the circle that is not covered</h3>

Refer to the first diagram. The length of each side of these equilateral triangles is the same as the radius of the circle. Since the length of one such side is $10$ inches, the radius of this circle will also be $10$ inches.

The area (in square inches) of a circle of radius $10$ inches is:

$\pi \times (\text{radius})^2 = \pi \times 10^2 = 100\pi$ .

The area (in square inches) of the circle that the hexagon did not cover would be:

$\begin{aligned}&\text{Area of circle} - \text{Area of hexagon} \\ &= 100\pi - 150\sqrt{3}\end{aligned}$ .

3 0

2 years ago

What is quotient of a number 21

stira [4]

A quotient of a number 21 is 3 and 63
Hope this helps!

8 0

2 years ago

Which is not a like term in the expression 7x +3 - 4 x-x

777dan777 [17]

Answer:

3 is not a like term because it isn't an x term, it doesn't have an x variable while the other terms do.

7 0

2 years ago

Latitia had 12 marbles. After she gave 2 marbles to Amelia she has 10/12 of her marbles left. What fraction of the marbles did l

Elenna [48]

Answer:

The answer here would be 1/6.

Step-by-step explanation:

If Amelia originally has 12 marbles (12/12), then gives away 2, she then has 10 marbles (10/12). This means she gave away 2 of the 12 marbles she has (2/12). This fraction can then be reduced to 1/6 by dividing the denominator and numerator by 2.

7 0

2 years ago

Abel throws a dart that hits the square shown. What is the probability that the dart does NOT hit a point in the circle?

iragen [17]

A square side is twice of the radius

sq side: 4 x 2

sq side: 8

find the area of the square.

A = b x h

A = (8) x (8)

A = 64

<em>Area of square is 64</em>

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

Find the area of the circle

Area of circle:

A = πr²

A = π(4)²

A = 16π

A = 16(3.14)

A = 50.24

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

Divide the circle from the total

50.24/64

50.24/64 = 0.785

0.785 = 78.5/100 = 78.5%

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

Subtract the circle's percentage from 100% (the total)

100 - 78.5 = 21.5

21.5% is your chance of not hitting a point in the circle.

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

21.5%, or (B), is your answer

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

hope this helps

7 0

2 years ago