Find the volume of this prism:
5 cm
4 cm
6 cm

Answer: 9

Step-by-step explanation:

2x + 3 when x = 3

2(3) + 3

2 * 3 = 6

6 + 3 = 9

To evaluate the mathematical expression 2x + 3 for x = 3, substitute x = 3 into the equation to get 2(3) + 3 = 6 + 3, and then add the numbers to get 9.

To evaluate the expression 2x + 3 for x = 3, you would replace x with 3 in the expression, then follow the order of operations (PEMDAS/BODMAS) to solve the expression.

Here is the step-by-step breakdown:

So, when x = 3, the value of the expression 2x + 3 is 9.

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Answer: 3.14 *16.8*16.8*16.9=14977.3478

14977.3478= 14,977.35

Answer:

15/6

Step-by-step explanation:

if ax^2+bc+c=0 is given equation then slope of this equation will be

m=-a/b

Answer:

The system has no solution

Step-by-step explanation:

we have

[tex]y=\frac{2}{3}x+7[/tex] ----> equation A

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

Isolate the variable y

Divide by 3 both sides

[tex]y=\frac{2}{3}x-1[/tex] ------> equation B

Compare equation A and equation B

Both lines have the same slope and different y-intercept

so

Line A and Line B are parallel lines

The lines do not intersect

therefore

The system has no solution, because both lines are parallel

see the attached figure to better understand the problem

Answer:

no6666//7

Step-by-step explanation:

88../6

Answer:

Scale Factor=2

Step-by-step explanation:

As the rectangle is enlarging from GHIJ to KLMN

then

Sacle Factor = Larger length / Smaller Length

Scale Factor = 5 cm / 2 cm = 2

Scale Factor = 20 cm / 10 cm = 2

Answer:

no

Step-by-step explanation:

thirty percent of $28 is $8.4, so you would subtract the two leaving you with $19.6

2.5 sales tax of $19.6 is $0.49

Adding those two, the total comes to 20.09 which is just over budget

The amount of the book is more than $20. Then she does not have enough money.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

Let 'x' be the markdown price. Then the equation is given as,

30% = [(28 - x) / 28] × 100

0.30 = [(28 - x) / 28]

8.4 = 28 - x

x = $19.6

Then the amount of book after tax is given as,

⇒ $19.6 x 1.025

⇒ $20.09

The amount of the book is more than $20. Then she does not have enough money.

More about the percentage link is given below.

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***Important... Even though the question says 15m, the question owner says he meant to put 16m***

[tex]a^2+b^2=c^2\\\\16^2+30^2=34^2\\\\256+900=1156\\\\1156=1156[/tex]

True!

⭐ Answered by Hyperrspace (Ace) ⭐

⭐ Brainliest would be appreciated, I'm trying to reach genius! ⭐

⭐ If you have questions, leave a comment, I'm happy to help! ⭐

Answer:

The annual interest rate is 5.247%.

Step-by-step explanation:

Question

Claire deposited $2,500 into an account that accrues interest monthly. She made no additional deposits or withdrawals. After 2 years, Claire had $2,762.35 in the account. what is the annual interest rate of the account?

Subtract $2,500.00 from $2,762.35 and you get 262.35- the 2-year interest. To get the annual interest, divide 262.35 by 2, which equals 131.75. Then, divide 131.75 by 2,500 (original amount) and you get 0.05247. Lastly, multiply 0.05247 by 100 to get the answer (5.247%).

To find the annual interest rate, use the compound interest formula and set it equal to the final amount in the account. After performing the necessary computations, 'r' comes out to approximately 5%.

To find the annual interest rate of Claire's account, you'll need to use the compound interest formula: v(t) = p * (1 + r/n)^(nt), where:

Claire's account had $2,762.35 in it after 2 years. Therefore, you would set $2,762.35 equal to the formula and solve for 'r'.

Doing so yields $2,762.35 = $2,500 * (1 + r/12)^(12*2) which simplifies, after some mathematical computations, to an annual interest rate (r) of roughly 5%.

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Final answer:

In the equation f(-11)=5x+1, solving for x yields x = -2.4.

Explanation:

To find what x equals in the function f(-11)=5x+1, we start by understanding that the function f(x) identifies the relation between x and f(x). In this case, f(-11) has been given the value of 5x+1. Therefore, we solve for x by setting the expression equal to f(-11).

We have the equation 5x + 1 = f(-11). Since f(-11) is given as a constant, we substitute and solve for x:

5x = -12

x = -2.4

Hence, x equals -2.4 in the function f(-11)=5x+1.

Answer:

4.875

Step-by-step explanation:

Answer:

c=36

Step-by-step explanation:

Madison purchased 5 cans of soup and 7 frozen dinners.

Step-by-step explanation:

Given,

Quantity of sodium in each soup can = 500 mg

Quantity of sodium in each frozen dinner = 700 mg

Total quantity = 7400

Let,

Number of soup cans purchased = x

Number of frozen dinners purchased = y

According to given statement;

500x+700y=7400        Eqn 1

y = x+2        Eqn 2

Putting value of y from Eqn 2 in Eqn 1

[tex]500x+700(x+2)=7400\\500x+700x+1400=7400\\1200x=7400-1400\\1200x=6000[/tex]

Dividing both sides by 1200

[tex]\frac{1200x}{1200}=\frac{6000}{1200}\\x=5[/tex]

Putting x=5 in Eqn 2

[tex]y=5+2\\y=7[/tex]

Madison purchased 5 cans of soup and 7 frozen dinners.

Keywords: linear equation, substitution method

Learn more about substitution method at:

#LearnwithBrainly

Answer:

Madison purchased 5 cans of soup and 7 frozen dinners

Step-by-step explanation:

Answer:

raymond has about 38 cars left

Step-by-step explanation:

Because raymond started off with 57 cars and he got rid of( take away) 19 you must use subtraction. 57 - 19 =38

Answer:

7 cabins

Step-by-step explanation:

So with division, we can find out

49 campers / 7 per cabin = 7

14 counselors / 2 per cabin = 7

As we can see, both problems equal 7, which lets us see that the camp needs 7 cabins to hold all the campers and counselors

Answer: Yes a scalene triangle is a triangle with 3 sides that all have different lengths.

Answer:

Correct

Step-by-step explanation:

Scalene means it has no equal side.

Answer:

156

Step-by-step explanation:

13 × 12

13

×

12

=

26

130

=

156

Answer:

Step-by-step explanation:

m*n

m=13

n=12

13 * 12

156

Step-by-step explanation:

2. The total number of calculators is 6 + 9 + 2 = 17.

When she hands out the first calculator, the probability that it is blue is 2/17.

When she hands out the second calculator, there is one less calculator total, so the probability that it is yellow is 9/16.

The probability of both is therefore:

P = 2/17 × 9/16

P = 9/136

3. There are 13 clubs in a standard deck of 52 cards.

The probability that the first card is clubs is 13/52 = 1/4.

Since you replace the card, there are still 52 cards in the deck.  So the probability that the second card is clubs is 13/52 = 1/4.

The probability that both cards are clubs is:

P = 1/4 × 1/4

P = 1/16

4. The total number of pieces of gum is 6 + 9 + 5 = 20.

When you pick the first piece, the probability that it is grape is 6/20.

When you pick the second piece, there's one less piece of gum, and one less grape flavor, so the probability is 5/19.

The probability that both pieces are grape is:

P = 6/20 × 5/19

P = 3/38

5. The total number of drinks is 6 + 3 + 4 = 13.

Since the coach replaces the first drink, the second selection will be independent of the first.  So the probability is still P = 6/13.

6. A die has six sides.  They are numbered 1 through 6.  Three of the numbers are even.  Each roll is independent, so the probability of a previous roll does not affect the probability of future rolls.

The probability that you get 3 even numbers, followed by a one, is:

P = (3/6) (3/6) (3/6) (1/6)

P = 1/48

The sum of the 3 angles needs to be 180.

To find the third angle subtract to the known angles from 180.

180 - 48 - 71 = 61

The third angle is 61 degrees.

Answer:

10

Step-by-step explanation:

5(3x-5)=20

3x-5=20/5

3x-5=4

3x=4+5

3x=9

x=9/3

x=3

6x-8=6(3)-8=18-8=10

Answer:185,422.61

Step-by-step explanation:8.25%/100=0.0825 but since it a sale tax you add a 1 so it would be 1.0825•35=37.88•89= 337.32•55=185,422.61

Answer:

31 deaths per month

Step-by-step explanation:

12 months in a year

372 / 12 = 31

Final answer:

The proportional relationship between the number of rides and time is represented by the equation t = 3n where t is the total time in minutes and n is the number of rides.

Explanation:

Since it takes Esther 12 minutes to ride a roller coaster four times, we can find the time taken for one ride by dividing the total time by the number of rides.

Time for one ride = Total Time / Number of Rides = 12 minutes / 4 rides = 3 minutes per ride.

The proportional relationship between the number of rides (n) and the total amount of time (t) can be represented by the equation t = 3n. This indicates that for every ride, 3 minutes are added to the total time.

Answer:

a. Number of people surveyed were 900.

b. 360 people preferred running.

Step-by-step explanation:

Given:

On a recent survey, 60% of those surveyed indicated that they preferred walking to running.

If 540 people preferred walking.

Now, to find a. number of people were surveyed. b. number of people preferred running.

a.

Number of people preferred walking = 540.

Percentage of people preferred walking = 60%.

Let the total number of people surveyed be [tex]x.[/tex]

Now, to get the number of people surveyed:

60% of x = 540.

[tex]\frac{60}{100} \times x=540[/tex]

[tex]0.60\times x=540[/tex]

[tex]0.60x=540[/tex]

Dividing both sides by 0.60 we get:

[tex]x=900.[/tex]

Thus, number of people surveyed = 900.

b.

Total number of people surveyed = 900.

People preferred walking = 540.

Now, to get the people preferred running we subtract people preferred walking from total number of people surveyed:

[tex]900-540[/tex]

[tex]=360.[/tex]

Thus, people preferred running = 360.

Therefore, a. Number of people surveyed were 900.

b. 360 people preferred running.

Answer:

NO

Step-by-step explanation:

84*84=7056

62*62= 3844

58*58=3364

3844+3364=7208

7208 is not equal to 7056

Answer:

C. 8,624

Step-by-step explanation:

recall that the formula for circumference is

Circumference = 2πr  ( = given as 85 meters)

hence,

85 = 2πr

r = 85/(2π)

given h = 15m

volume of cylinder

= πr²h

= π (85/2π)² 15  (using calculator and assuming π = 3.14)

= 8628.58

Comparing with the choices, the closest choice (within rounding error) is C. 8,624