In 1971, the average price of gasoline was $0.36 per gallon. In 2020, the average price of gasoline was $2.32 per gallon. a. What is the percent increase, rounded to the nearest whole number, in the cost of a gallon of gasoline from 1971 to 2020? b. What is the percent decrease, rounded to the nearest whole number, in the cost of a gallon of gasoline from 2020 to 1971? 2. Last year, DeKalb Middle School had 140 7 thgraders. The number of 8 thgraders was 125% of the number of 7 thgraders. How many 8 thgraders were there last year? 3. Find the balance of a savings account at the end of 4 years if the interest earned each year is 5.5%. The principal is $700.

Answers

Answer 1

Answer:

1. a. 544%

b. 84%

2. 175

3. $867.18

Step-by-step explanation:

1. a.2.32-0.36=1.96

1.96/0.36=5.44

5.44*100=544

b. 1.96/2.32=0.84

0.84*100=84

2. let x = # of 7th graders

let y = # of 8th graders

y is 125% of x

y=1.25x

x=140

y=1.25*140

y=175

3. A=P(1+r)^t

A=700(1+0.055)^4

A=867.18


Related Questions

Help quick pllzzz :((

Answers

Answer:

15,000

Step-by-step explanation:

Choose the graph that represents the following system of inequalities: y ≤ −3x + 1 y ≤ 1 over 2x + 3 In each graph, the area for f(x) is shaded and labeled A, the area for g(x) is shaded and labeled B, and the area where they have shading in common is labeled AB. Graph of two intersecting lines. Both lines are solid. One line f of x passes through points negative 2, 2 and 0, 3 and is shaded above the line. The other line g of x passes through points 0, 1 and 1, negative 2 and is shaded above the line. Graph of two lines intersecting lines. Both lines are solid. One line g of x passes through points negative 2, 2 and 0, 3 and is shaded below the line. The other line f of x passes through points 0, 1 and 1, negative 2 and is shaded above the line. Graph of two intersecting lines. Both lines are solid. One line passes g of x through points negative 2, 2 and 0, 3 and is shaded below the line. The other line f of x passes through points 0, 1 and 1, negative 2 and is shaded below the line. Graph of two intersecting lines. Both lines are solid. One line f of x passes through points negative 2, 2 and 0, 3 and is shaded above the line. The other line f of x passes through points 0, 1 and 1, negative 2 and is shaded below the line.

Answers

We want to find the graph of a system of inequalities. We want to select the correct option, but sadly is really hard to interpret the given text, so I will add a graph of the system at the end.

The system is:

y ≤ -3x + 1y ≤ (1/2)*x+ 3

To graph these we first need to graph the two lines:

y =-3x + 1

Is a line with a negative slope that passes through the y-axis at y = 1.

Because here we have y ≤ -3x + 1 we know that y must be equal or smaller than the line, thus we need to shade below the line, and because y can be equal to any value in the line we need to use a solid line.

For the other equation:

y = (1/2)*x+ 3

We have a positive slope and this line intercepts the y-axis at y = 3.

Similar as before, here we have y ≤ (1/2)*x+ 3 so the shaded area will be below the line and the line must be solid.

With this in mind, we can graph the system, and you can see it below:

If you want to learn more, you can read:

https://brainly.com/question/19526736

helpppppp do i plug 7 in or still one? WILL MARK BRAINLIST

Answers

Answer:

154

Step-by-step explanation:

The expression is  [tex]f(x)=4x^2-7x+7[/tex] and we know that  [tex]f(x)=f(7)[/tex]. Therefore, you will have to substitute x with 7.

Calculations:

[tex]f(x)=4x^2-7x+7[/tex]

[tex]f(7)=4(7)^2-7(7)+7[/tex]

[tex]4(49)-49+7= 154[/tex]

Answer:

I think that you need to plug 7 in to the x's

Step-by-step explanation:

Yes it looks very weird, but if you don't think that is right, Use the 7 for the F's.

One of them should come out right. :3

it literally means "harmonious sounding together".
a. sonare
b. sonaire
c. sinfonia
d. sinfona​

Answers

Answer:

b sonaire

Step-by-step explanation:

Hope that helps

12 decreased by some number h

Answers

Answer:

12 - h

Step-by-step explanation:

HELPP due at 11:20!!

Answers

Answer:

try B if not maybe C

Step-by-step explanation:

Write down the exact value of:
a) cos 0
b) sin 30°
c) tan 0°

Answers

Answer:

cos0 = 1

sin30= 1/2

tan0 = 0

Answer:

[tex]a) cos0^o = 1\\b) sin30^o = \frac{1}{2} \\c) tan0^o =0[/tex]

PLEASE HELP!!!! EASY 50 POINTS!! WILL MARK BRAINLIEST!!

1. Which graph has the y-intercept -2?

2. Which statement describes the y-intercept of the graph of aproportional relationship?

A: It is equal to the x-intercept of the line.

B: It is greater than the x-intercept of the line.

C: The line intersects the y-axis of the graph at the origin.

D: The line intersects the y-axis of the graph above the origin.

Answers

Answer:

For 1 it is D

For 2 it is A

Hope this helps :)

Step-by-step explanation:

Answer:

#1

Option D

Y intercept-2 means line passes through the downward y-axis.

#2

As

[tex]\\ \sf\longmapsto x\propto y[/tex]

It is equal to the x-intercept of the line.

Option A is correct

A motarcar is running at the rate of 66 km per hour. Each other its wheels makes 500 revolutios per minute. find the radius of the wheel.​

Answers

Answer:

simple

Step-by-step explanation:

The radius of the wheel can be solved from its given speed and RPM.

Converting km/h to m/min

speed = 66 km / h = 66000 m / 60 min

speed = 1100 m / min

Converting one revolution to meters

1100 m / min = 500 revolution / min ... (given)

500 revolutions = 1100 m

1 revolution = 2.2 m

Solving for the radius of the wheels in meters

1 revolution = 2.2 m

2 * pi * radius = 2.2 m

radius = 2.2 m / 2 * pi

radius = 1.1 m / pi

radius = 0.3501 m

Round 608,897 to the nearest ten

Answers

Answer:

608,900

Step-by-step explanation:

it is hard to explain, but here is the answer

The number 608,897 to the nearest tens is 608,900.

What is Rounding Off?

Rounding off is the method of simplifying a number to the next closest number by maintaining it's value.

Rounding can be done for decimals as well as whole numbers. Rounding can be done to different place values like tens, hundreds, and in decimals, tenths, hundredths, etc. can be done.

The given number is 608,897.

We have to round this to the nearest ten.

For that, we have to consider the digits in the place values ones and tens.

The digit in the ones is 7. Replace it with 0.

Since the digit in the ones is greater than 5, the digit in the tens column get increased by 1. So 9 in the tens column become 10. By keeping 0 at the tens column 1 is given to the next place value, hundreds. So the digit on the hundreds value which is 8 get increased by 1 and become 9.

Thus the number 608,897 is rounded to 608,900.

Hence the number 608,897 can be rounded off to the nearest tens as 608,900.

Learn more about Rounding Off here :

https://brainly.com/question/13391706

#SPJ2

2 Which of the following fractions are equivalent to 2/4?​

Answers

Answer:

1/2=2/4

Step-by-step explanation:

A ball is shot from a cannon into the air. The equation that's gives the height (h) of the ball of any time (t) is: h(t)= -16t^2 + 40t + 1.5

Answers

Answer:

26.5 units

Step-by-step explanation:

The height of the ball at any time t is given by :

[tex]h(t)= -16t^2 + 40t + 1.5[/tex] ...(1)

We need to find the maximum height of the ball.

For maximum height, put [tex]\dfrac{dh}{dt}=0[/tex]

i.e.

[tex]\dfrac{d( -16t^2 + 40t + 1.5)}{dt}=0\\\\-32t+40=0\\\\t=\dfrac{40}{32}\\\\t=1.25\ s[/tex]

Put t = 1.25 in equation (1) to find the maximum height.

So,

[tex]h(t)= -16(1.25)^2 + 40(1.25) + 1.5\\\\=26.5\ units[/tex]

So, the maximum height reached by the ball is 26.5 units.

2. What is the slope. Make sure you reduce

Answers

Answer:-4/5

Step-by-step explanation:

(3,3)

(-2,-1)

Y2-y1/x2-x1

3- (-1)/ -2 -3

4/-5

Answer:

4 over 5 (4/5)

Step-by-step explanation:

Its extremely simple. You need to start from the lower point, and count up until you get to the same lime as the other point. Starting from the lower point, you count up 4 to get on the same line. Then, since its on the right, you count to the right 5, till you get to the dot, and you get 4/5. All you have to do is just count

I need help please. Also check out my other question

Answers

Answer:

8 Km.

Explanation:

I'm going to turn the fractions into decimals

2 ½: 2.5

3 ⅕: 3.2

Formula for the area of a parallelogram: A = b(h)

Base: 3.2

Height: 2.5

3.2 · 2.5 = 8

The area of the parallelogram is 8 Km.

3/4 - 1/6 = ? (simplfy it )

Answers

Answer:

0.58333333333

Simplify is 0.6

Step-by-step explanation:

i think

Answer:

7/12

Step-by-step explanation:

the least common denominator is 12

4 goes into 12 three times so you multiply both numbers in 3/4 by three

3/4 = 9/12

6 goes into 12 twice so multiply both the 1 and 6 by two

1/6 = 2/12

so the equation becomes 9/12 - 2/12

subtract the numerators

9-2= 7

7/12 can't be simplified any farther so that's the final answer

What are these as equalivalent equations

Answers

Answer:

6x - 2(x - 3) and x + 3(x - 2) - 6

The two expresaions that are quivalent are 6x - 2(x - 3) and x + 3(x - 2) - 6.

Step-by-step explanation:

First expression which is 4(x - 3) is an example of a binomial that when multiplied together, the product would be 4x - 12. Therefore, second and third expressions are the answer.

#CarryOnLearning

#BrainliestBunch

#LetsStudy

#AnswerForTrees

#BrainlyFast

#BuwanNgWikaSaBrainly

answer all question pls

Answers

Step-by-step explanation:

3. Between √9 and √16 or 3 nd 4

5. D

6. 7cubic inches

7. 8/45

8. 0.5 m

9. 4/25

help pls
3n-18-2n+10+n

Answers

Answer:

Assuming that you're being asked to simplify the expression. If you are, then the answer is 2n - 8

Step-by-step explanation:

Simplified that is 2n -8

This is because the n terms:
3n -2n +n = 2n
And the integer terms:
-18+10 = -8
Together this is 2n-8

Hi! need help asap xx

Answers

Answer:

C

Step-by-step explanation:

The 3 triangles are all similar.

Using the 2 inside then the ratios of corresponding sides are equal, that is

[tex]\frac{x}{3}[/tex] = [tex]\frac{12}{x}[/tex] ( cross- multiply )

x² = 36 ( take the square root of both sides )

x = [tex]\sqrt{36}[/tex] = 6 → C

Answer:

C) x = 6

because this is a right triangle

=> we have:

(12² + x²)(3² + x²) = (15x)²

<=> 1296 + 153x² + x⁴ = 225x²

<=> x⁴ - 72x² + 1296 = 0

<=> (x² - 36)² = 0

<=> x² = 36

=> x = 6

The measures of the three angles whose sum is 160 are in the extended ratio ​2:​5:9. Find the exact angle measures.

Answers

Answer: 20°, 50° and 90°

Step-by-step explanation:

From the question, we are informed that the measures of the three angles whose sum is 160 are in the extended ratio ​2:​5:9.

The exact angle measures will then be:

= 2/(2+5+9) × 160°

= 2/16 × 160°

= 20°

= 5/(2+5+9) × 160°

= 5/16 × 160°

= 50°

= 9/(2+5+9) × 160°

= 9/16 × 160°

= 90°

What is the slope of a vertical line

Answers

JUMPOUTDAHOUSE*^+ JUMPOUTDAHOUSE*^+ JUMPOUTDAHOUSE*^+ JUMPOUTDAHOUSE*^+ JUMPOUTDAHOUSE*^+ JUMPOUTDAHOUSE*^+ JUMPOUTDAHOUSE*^+ JUMPOUTDAHOUSE*^+ JUMPOUTDAHOUSE*^+ JUMPOUTDAHOUSE*^+ JUMPOUTDAHOUSE*^+ JUMPOUTDAHOUSE*^+
the answer should be undefined

Raja sold a purse for £ 180; he suffered a loss of £ 40 in his deal, what was the cost price of the purse.
Please tell me and quick!!!!

Answers

Answer:

220 £

Step-by-step explanation:

please help me, i’m super confused one what to do since my teacher did not explain well

Find the equation of the linear function represented by the table below in
slope-intercept form.
V
5
-10
8

Answers

A linear function in slope intercept form is

y = mx + c

To find the equation, you need m and c. This can be found by substituting the points you have.

For example, 5 = -1(m) + c and -7 = 2(m) + c

From here, do simultaneous equations

c = m + 5

-7 = 2(m) + m + 5

3m = -7 -5

m = -4

c = m + 5

c = 1

Rewrite the equation: (This is your answer)

y = -4x + 1

Yes I agre!!! 3=v555555

Consider U = {x|x is a negative real number}. Which is an empty set? {x|x ∈ U and x has a negative cube root} {x|x ∈ U and x has a negative square root} {x|x ∈ U and x is equal to the product of a positive number and –1} {x|x ∈ U and x is equal to the sum of one negative and one positive number}

Answers

Answer:

{x\ x e U and x has a negative square root} is an empty set.

Step-by-step explanation:

If x e U, x is a negative real number, and they don't have a square root (they don't have even roots). Their square roots are complex numbers, not real ones.

The set that will give an empty set will be {x|x ∈ U and x has a negative square root}

What is a set?

A set is a collection of numbers or objects. They are not necessarily arranged in pattern.

Given the following sets

r U = {x|x is a negative real number}

We are to determine the set that is empty. This means we need the set of numbers that are not real numbers.

The square root of a negative number will give a complex number. Hence the set that will give an empty set will be {x|x ∈ U and x has a negative square root}

Learn more on set here: https://brainly.com/question/2166579

Can someone plz help me!!!!

Answers

Answer:

The answer is 3.16

Answer:

8

Step-by-step explanation:

Use Pythagorean theorem a^2 + b^2= c^2.

6^2 + x^2 = 10^2 or 36 + x^2 = 100. Solve for x by subtracting 36 from both sides. X^2 = 64, then take the square root of both sides. X =8

A rectangle has an area of 274.5m
One of the sides is 4.5m in length.
Work out the perimeter of the rectangle.

Answers

131m

Step-by-step explanation:

274.5÷4.5=61

4.5m×2=9m

61m×2=122

122m+9m=131m

Answer:

Perimeter = 131 m

Step-by-step explanation:

Area=Length x Width so:

274.5 = 4.5 x Width

Width = 274.5/4.5 = 61 m

Perimeter = 2 Widths + 2 Lengths so:

Perimeter = 2(4.5)+2(61 )= 131 m

Homework please help

Answers

The answer is B because you would multiply 3 with 2 giving you a total of 6 and then you add the 2 and you get 8

Answer:

I think B is the right one.

Step-by-step explanation:

Hope this helped

An arctic woolly-bear caterpillar lives for 7 years and spends 90% of its life frozen. How many days of its life is the arctic woolly-bear frozen?

Answers

Answer:

There are 365 days in a year, which means there are 2555 days in 7 years.

If the caterpillar spends 90% of its life frozen, it will spend about 2300 days of its life frozen.

Let me know if this helps!

Answer:

6.3 years

Step-by-step explanation:

90 divided by 100 times 7

What is the best way to study Geometry?

Answers

Answer:

diagramming, knowing your properties well, understand and know the angles, and have a good math understanding

Step-by-step explanation:

hope this helps

THIS ISNT HOMEWORK BUT MY FRIEND GOT ME FACEMASKS ON SUNDAY AND IVE USED IT FIVE/SIX TIMES THIS WEEK(ITS NOW WEDNESDAY) AND SHE TOLD ME THATS NOT GOOD- WHAT DO I DO TO PREVENT BAD THINGS

Answers

Answer:

eat ice cream it will make the pain go away

Step-by-step explanation:

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