A map has a scale of 3 cm:20 km. If two cities are 30 cm apart on a map, how far are the cities actually apart?

Answer: 18.5%

Step-by-step explanation: Last year, there were 56 boys and 135 girls on the honor roll, for a total of 191 students. This year, the number of boys on the honor roll increased by 25%, which means there are now 70 boys on the honor roll (56 * 1.25). The number of girls on the honor roll increased by 20%, which means there are now 162 girls on the honor roll (135 * 1.20).

The total number of students on the honor roll this year is therefore 70 + 162 = 232.

To find the percentage increase in the total number of students on the honor roll, we can use the formula:

percentage increase = (new value - old value) / old value * 100

Plugging in the numbers, we get:

percentage increase = (232 - 191) / 191 * 100 = 21.47%

Rounding to the nearest tenth, we get an increase of approximately 18.5%.

Hope this helps, and have a great day!

Answer:

B

Step-by-step explanation:

278-278 =0

so nothing has changes

Step-by-step explanation: Well, it’s asking you to write an equation for it in Y=MX+B format. That would be something like y=4x+2 (not the answer.) There are 4 different points on here. A, b, c, and d. There is an incomplete equation, 2x+1. There is also a degree, 33. This shape that these lines formed also have a 90 degree angle, as you can see next to the B. It’s pretty much 3 angles out together. Find the degrees for the two other angles, after you do that, use a formula like this, 1+2, then subtract the answer from 180 degrees. If the number turned out negative, then subtract 180 from the answer instead. That will get you far enough to actually form the equation.

Answer:

Step-by-step explanation:

Given the system of equations,

[tex]y=2x-3\\y=-x+3[/tex]

We can substitute one equations into another since both equations solve for y. I will use the second equation for this example.

Step 1: Substitute

[tex]-x+3=2x-3[/tex]

Step 2: Simplify

[tex]6=3x\\x=2[/tex]

Now, we can easily substitute our x value into one of the equations.

Step 3: Substitute.. again

[tex]y=-2+3\\y=1[/tex]

Solution: [tex](2,1)[/tex]

Graph is attached below :)

Hope this helped ya! <3

Answer: D

Step-by-step explanation:

180+90= 270

90x3=270

Answer: 1st one=alternate interior angles

2nd one=linear pair

3rd one=corresponding angles

4th one= alternate exterior angles

5th one= corresponding angles

Step-by-step explanation:

Answer:

2.5 hours (2 and 1/2)

Step-by-step explanation:

Every 1 hour, Erin runs 10 miles and so on. The ratio is 1:10 (2:20, 3:30, etc.) 25 is 20+5, and 5 is considered 1/2 of 10, so it would count as 0.5 (or 1/2). So in 2.5 hours Erin will run 25 miles. Hope it helped :>

Answer:

15

Step-by-step explanation:

A=(a+b)/ 2 x h
A= (4+6)/ 2 x 3
A= 15

If I am wrong then please let me know

Answer:

48 = {1,2,3,6,8,48.}

Step-by-step explanation:

These are the factors if 48. if it's correct please let me know.

Step-by-step explanation:

A triangle has its interior angle sum as 180°

[tex]{ \tt{ \angle R + \angle S + \angle T = 180 \degree}}[/tex]

[tex]{ \colorbox{silver}{input \: angles}} \\ \\ { \tt{31 \degree + (x + 4) \degree + (3x + 9) \degree = 180 \degree}} \\ \\ { \tt{44 + 4x = 180 \degree}} \\ \\ { \tt{4x = 136}} \\ \\ { \tt{x = 34}} \\ \\ { \colorbox{silver}{for \:R }} \\ \\ { \tt{ m\angle S =x + 4 = 34 + 4}} \\ \\ { \boxed{ \tt{m \angle S = 38 \degree}}} \\ \\ { \colorbox{silver}{for \:T }} \\ \\ { \tt{m \angle T = 3x + 9 = (3 \times 34) + 9}} \\ \\ { \tt{m \angle T = 111 \degree}}[/tex]

Answer:

x=10

Step-by-step explanation:

(6x+4)+26=90

6x+4+26=90

6x+30-30=90-30

6x÷6=60÷6

x=10

Answer:

the answer is X=10

(6x+4)+26=90

6x +30=90

6x= 90÷30

6x=60

X = 60÷6

X= 10

Answer: y=-7

Step-by-step explanation:

solve 5x+2y =-4 for x

Add -2y to both sides

divide both sides by five
substitue -2/5y +-4/5 for x in 3X +10 Y equals -64

44/5 + -12/5 equals -64

Simply both sides

add 12/5 to both sides

Divided by 44/5
y= -7

Answer:

Hence The Value of Y=-2 at the intersecting point

Step-by-step explanation:

Given the equation

5x+2y=-4 and 3x+10y=-64

are intersected at X=2 to find the value of y

solution the equation 5x+2y=-4 and 3x+10y=-64

are intersect at x=2 means x=2 satisfied both equations so x=2 put in the

1st equation

5 x 2+2y=-4

2y=-4 -1 0= -14

y= -7

2.5 x 10 -13 , the last one

Answer: The answer is -6.

Step-by-step explanation:

The first step in solving -X²= - 36 is to simplify the expression. Then, divide both sides by the same factor. You'll get X² - 36 = 0.

After that, you need to use the quadratic formula. Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula. a=1, b=0, and c=-36.

Finally, you need to simplify the expression. First, evaluate the exponent. Then multiply the numbers. After that, Add the numbers and evaluate the square root. Add zero, and then multiply the numbers again. You get +12/2, which simplifies into X = 6. Add the negative, and you get X = -6.

I hope it helped! :)

Answer:

38,400,000 cubic feet.

Step-by-step explanation:

To find the volume of a pyramid, you can use the formula:

V = (1/3) * base area * height

In this case, the base is a square with sides of 600 feet, so its area is:

base area = 600 * 600 = 360,000 square feet

The height of the pyramid is given as 321 feet.

Now we can plug in the values into the formula:

V = (1/3) * 360,000 * 321

V = 38,400,000 cubic feet

Therefore, the volume of the Pyramid Arena in Memphis, Tennessee, is approximately 38,400,000 cubic feet.

Answer:

-4d=16

d=-4

Step-by-step explanation:

Answer: 188,736

Step-by-step explanation:

The original amount is 192,000. Every year, the population decreases by 1.7%, which means that the population is 98.3% of last year's.

0.983 * 192,000 = 188,736

Answer: h=260/12

Step-by-step explanation:

A=BxH/2

A=260 sq. in

260 sq. in=BxH/2

B=24 in

260sq. in=24inxH/2

Simplify

260sq. in=12inxH

Divide both sides by 12in

260/12 in = H

Answer: 65 advance tickets

Step-by-step explanation:

Answer:

Advance tickets sold: 30

Same-day tickets sold: 25

Step-by-step explanation:

So, let's assume that the number of advance tickets is the variable [tex]x[/tex], and the number of same-day tickets is [tex]y[/tex].

Since the cost of advance tickets is $25 dollars, we can show that using [tex]25x[/tex], and the cost of same-day tickets is $35, we can show that with [tex]35y[/tex]. The total cost of the tickets is $1625 and the total number of tickets is 55.

Now, let's form a system of equations with this information.

[tex]25x+35y=1625\\x+y=55[/tex]

Step 1: Rearrange equation so that it solves for a variable

[tex]x+y=55[/tex] can be rewritten as [tex]y=-x+55[/tex]

Step 2: Substitute

[tex]y=-x+55[/tex], so, we can write this in the first equation as: [tex]25x+35(-x+55)=1625[/tex]

Step 3: Simplify

[tex]25x-35x+1925=1625\\-10x=-300\\x=30[/tex]

So the number of advance tickets sold are 30.

Now, let's solve for the number of same-day tickets sold.

Step 4: Solve for y

Using our equation from above ([tex]y=-x+55[/tex]), we can substitute the value that we solved for ([tex]x=30[/tex]) to solve for the variable y.

[tex]y=-30+55\\y=25[/tex]

The number of same-day tickets sold are 25.

Hope this helped ya :)

Answer:

Let me explain. :)

Step-by-step explanation:

Step 1:

We know that Gherell has 75 marks. Delia has 5 marks less than Gherell, so  we do 75-5 which is 70.

Step 2:

To find out Josiah's mark, we must find 20% of 70. Now, I am not sure if you learned how to find the percents and the amount of decrease, but if you calculate, it is 14. Then you do 70-14 because 14 is how many marks he lost, and that is 54.

Step 3:

Subtract 4 from 54 to get 50 marks.

Step 4:

Shevonne's marks are the average of both Josiah and Liam's mark, so we must find the average. The average is calculated by adding both Josiah and Liam's mark, and divide it by the number of people. [tex]\frac{Josiah+Liam}{2} = \frac{54+50}{2}[/tex]

Then, you get 104/2 which is 52. Shevonne has 10 more marks than the average, so you would add 10 to 52 which is 62.

There we have it! Hope it helped. :D

I think it's angles 5 and 2, angle 3 and 6, angles 4 and 1.

Step-by-step explanation:

i guess

Answer: 576 square feet

Step-by-step explanation:

Answer:A=2b square root 2

Step-by-step explanation: the base is b and the exponent is 2 the factor b repeats2 time so the base is b and exponent is 2

Answer:

proofs attached to answer

Step-by-step explanation:

proofs attached to answer

Answer:

vertically opposite angles

Step-by-step explanation:

A=66°