Solve the system of equations by graphing.

In a survey of 120 8th graders, 84 liked math, 73 liked science and 23 liked math but not science. how many students disliked bo

hammer [34]

24
We can divide the 8th graders into 4 groups. They are:
1. Like both math and science.
2. Like only math.
3. Like only science.
4. Don't like either math or science.
The sum of the people in all 4 groups will add up to 120. So let's see how many are in each group.
We've been given 23 as the number of people who like only math (group 2).
And since we know that 84 people like math, that means that 84 - 23 = 61 people are in group 1. And since we know that 73 people like science, that means that 73 - 61 = 12 are in group 3. So of the 4 groups, we now know.
1. Like both math and science (61 people).
2. Like only math (23 people).
3. Like only science (12 people).
4. Don't like either math or science (unknown).

So for the people left in group 4 (don't like either subject) that will be 120 - 61 - 23 - 12 = 24.

5 0

3 years ago

A company makes 625 cell phone cases each day. How many cell phone cases does the company make in 31 days?

adelina 88 [10]

Answer:

19375

Step-by-step explanation:

625*31=19375

5 0

3 years ago

An amount of $23,000 is borrowed for 11 years at 6.75% interest, compounded annually. If the loan is paid in full at the end of

Pavel [41]

Answer:

Given that,

An amount of $23,000 is borrowed for 11 years at 6.75% interest, compounded annually.

To find the Amount paid back after 11 years.

Explanation:

we know that,

The formula to find the,

Amount after n years of interest rate r% compounded annually is,

$A=P(1+\frac{r}{100})^n$

where P is the initial amount.

Here, we have that,

P=$23,000

r=6.75

n=11

Substitute the values we get,

$A=23000(1+\frac{6.75}{100})^{11}$

Solving this we get,

$A=23000(1+0.0675)^{11}$ $A=23000(1.0675)^{11}$ $A=23000(2.05138)$ $A=47181.805$

Round to the nearest dollar.

$A=47181.805\approx47182$

Answer is: Amount paid back is $47182 after 11 years

7 0

1 year ago

a rectangle’s length is 5 inches more than twice its width. its area is 50 square inches. which equation can be used to find its

Karo-lina-s [1.5K]

The equation used is 50 = (2w + 5) × w which can be used to find its width, w.

According to the question we are Given,

Length of rectangle = 5 inches more than its width

Area of rectangle = 50sq. inches

Let width of rectangle = w

So, According to the question,

length = 2w + 5

Area of rectangle = Length × Breadth

50 = (2w + 5) × w

So, our required equation is 50 = (2w + 5) × w

<h3>How can we describe the area of rectangle as?</h3>

The quantity of space occupied by a flat surface with a specific form is referred to as the area. It is calculated as a "number of" square units (square centimeters, square inches, square feet, etc.) The quantity of unit squares that may fit within a rectangle called its area. The flat surfaces of laptop monitors, blackboards, painting canvases, etc. are a few instances of rectangular forms.

To learn more about area of rectangle from given link

brainly.com/question/3141014

#SPJ4

4 0

2 years ago

How do i find the answer?

luda_lava [24]

Answer:

jhgfghjk

Step-by-step explanation:

tngbunjregtnmf rejdmnf vfrjelkfnm e3jkwnrmfd

4 0

3 years ago