Write an Algebraic Expression for Problems 1 - 6.
1. Five less than eight times a number
2. Thirteen more than a number
3. A number divided by seven
4. John went to Cinemark. The movie cost $12 and each drink cost $3.50. How much did he
spend after buying d number of drinks?
5. At the bowling alley, Stacey bowled x number of games and rented a pair of shoes. How
much did she spend at the bowling alley?
6. The volleyball team spent $675.95 at the mall. If each player spent the same amount, how
much did each player spend?

Answers

Answer 1

Answer:

I'm gonna rewrite each sentence in a way that lines up a little more with the Algebraic expression you would end up with. Just keep in mind that either way of saying it is correct.

1. "8 times some number (a variable) minus 5"

8x-5

2. "13 plus some number"

13+x

3. "Some number over 7"

x/7 or x÷7

4. "d number of drinks times 3.50 plus 12 equals how much John spent (we'll call it J)"

12+3.50d = J

5. "Stacey bowled x number of games times the cost of one game (call it B) plus the cost of the shoes (call it P) which equals how much they spent (call it S)"

xB+P = S

6. "675.95 dollars was spent at the mall by a number of players (call it P) to equal the total cost per player)"

$675.95÷p (players) = 675.95/p (dollars/player)

Essentially you're making expressions or equations out of numbers you know and putting in variables as place holders for numbers you don't know. The variables can be whatever letters you like, but you'll want to write what each variable represents down nearby. Otherwise the reader/your teacher won't know what's what.


Related Questions

yo was the answerrrrrr n how u do it???????

Answers

Answer:

A pizza with 8 slices has price: 12$, then each slice cost:

12/8 = 1.5$

Hope this helps!

:)

Answer:

$1.50

Step-by-step explanation:

Total cost of pizza: $12

The pizza has 8 slices, so 12 divided by 8 will give the cost of one slice.

12/8 = 1.50

one slice of pizza costs $1.50

Hello can someone please help me with this question will give brainliest

Answers

Answer:

X and Y have a weak, negative correlation.

Answer:

The answer is x and y have a weak negative correlation

Step-by-step explanation:

The points do not form a very straight line, so that is considered weak.

The points are arranged from higher on the left to lower on the right, indicating a negative slope.

I hope this helps! :)

When 8=8 is it infinite solutions, no solutions

Answers

Answer:

infinite

Step-by-step explanation:

no solution would be something like 8=4 because it is not true

Answer:

Infinite solutions

Step-by-step explanation:

pleaaaaaaaaaaaaaaaaaaase help meeeeee


i this correct

Answers

Answer:

15.3 miles.

Step-by-step explanation:

Area of trapezoid is given by = 1/2*( sum of parallel side) height

Given area of trapezoid = 221.85 sq. miles

Length of parallel sides = 19 miles and 10 miles.

Sum of parallel sides = 19 miles + 10 miles = 29 miles.

Plugging the above values in formula for area of trapezoid we have

Area of trapezoid is given by = 1/2*( sum of parallel sides) height

221.85 = 1/2 (29) height

=> 221.85* 2 = 29* height

=> 443.7 = 29* height

=> 443.7/29 =  height

=> height = 15.3

Thus, height is 15.3 miles.

Jack bought a motorbike. The original price was $1,300, but he got a discount of 20%.
What was the discounted price of the bike?​

Answers

Answer:

The discounted price is $260

Step-by-step explanation:

Jack bought a motorbike. The original price was $1,300, but he got a discount of 20%.

What was the discounted price of the bike?​

To find the discounted price of the bike, if Jack bought a motorbike that originally costs $1300 and got a discount of 20%, we will follow the steps below;

find 20% of $1300

20% of $1300 = 20% × $1300  =[tex]\frac{20}{100}[/tex]  × $ 1300 = 20×$13 = $ 260

Therefore, the discounted price is $260

prime numbers less than 30

Answers

Answer:

2,3,5,7,11,13,17,19,23,29

Step-by-step explanation:

Answer:

Hey!

All the Prime numbers under 30 are...

2, 3, 5, 7, 11, 13, 17, 19, 23, 29

Step-by-step explanation:

HOPE THIS HELPS!!

BJ added a cell phone to his familys plan his phone costs $5 a month how much does his phone cost him over 6 months?



help meeeeeeeee fammmm​

Answers

Answer:

30

Step-by-step explanation:

6 x 5 is 30.

What is the positive solution to the equation 0 = –x2 + 2x + 1? Quadratic formula: x = StartFraction negative b plus or minus StartRoot b squared minus 4 a c EndRoot Over 2 a EndFraction

Answers

Answer:

x = 2 + √2

x = 2 - √2

Step-by-step explanation:

- x² + 2x + 1 = 0

x² - 2x - 1 = 0

Here,

a = 1

b = - 2

c = - 1

Now,

Discriminant

D = b² - 4ac

= (-2)² - 4(1)(-1)

= 4 + 4

= 8

=2√2 > 0

Real and Distinct roots

x = - b +- √b² - 4ac/2a

= - (-2) +- √ = (-2)² - 4(1)(-1)/2(1)

= 2 +- √4 + 4/2

= 2 +- √8/2

= 2 +- 2√2/2

= 2 +- √2

x = 2 + √2 or x = 2 - √2

Answer:

x = 2 + √2 or x = 2 - √2

Step-by-step explanation:

Edge 2021

Probability & Sampling:Question 4
If the probability of a chance event is 0, it is
to happen
when compared to a chance event with a probability of 1.
Select one:
both more and less likely
less likely
more likely
equally likely

Answers

Answer:

more likely

Step-by-step explanation:

The price of a watch was increased by 20% to £162. What was the price before the increase?

Answers

Answer:

= £135

Step-by-step explanation:

Original price = 100%

Percentage increase = 20%

New price = 100% + 20% = 120%

If 120% = £162

What about 100% = ?

= (100 x 162) ÷ 120

= 16200 ÷ 120

= £135

Answer:

sh.129.60

Step-by-step explanation:

20%...€162

€162 times 80 over 100

€81 times 8....over 5

€648 divide 5

......ans...... €129.60

Need Answer Fast Please to solve the Linear Expression: 5(5n+2)+(3-2n)

Answers

Answer:

23n +13

Step-by-step explanation:

5(5n+2)+(3-2n)

Distribute

25n + 10 +3 -2n

Combine like terms

25n -2n  + 10+3

23n +13

Answer:

[tex]23n + 13[/tex]

Step-by-step explanation:

[tex]5(5n + 2) + (3 - 2n) \\ 25n + 10 + 3 - 2n \\ 25n - 2n + 10 + 3 \\ = 23n + 13[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

The function h(x) shown is the result of combining two functions, f(x) and g(x), by addition. Which statement could be true of the two functions? The domains of both f(x) and g(x) must be (–[infinity], [infinity]). The domains of both f(x) and g(x) must be (0,[infinity]). The domain of f(x) is (–[infinity], 0), while the domain of g(x) is (0, [infinity]). The domain of f(x) is (–[infinity], 0], while the domain of g(x) is [0, [infinity]).

Answers

Answer: The domains of both f(x) and g(x) must be (–∞, ∞). your welcome

Step-by-step explanation:

Answer:

it's A

Step-by-step explanation:

if 40 m of cloth is sold at taka 1500.there is a profit of 11 percent.what is the cost price

Answers

Answer:

hi

Step-by-step explanation:

hi

I’m not sure how to do the problem but I found a problem like it and an explanation on how to do it hope this helps

Someone please help

Answers

Answer:

42

Step-by-step explanation:

The difference of each letter times 2 get you the next number in the sequence.

The oblique prism has a rectangular base with a width of 10 units and a length of 13 units.


An oblique prism with a rectangular base is shown. The rectangular base has a width of 10 units and a length of 13 units. The distance between the top and the bottom base is 17 units. The top base extends 8 units to the right of the bottom base.


The top base extends 8 units to the right of the bottom base. What is the volume of the prism?

Answers

Answer:

Volume of the prism = 1950unit³ (C)

Step-by-step explanation:

The question is incomplete without the diagram of the oblique prism and its dimension.

Find attached the diagram used in solving the question.

The prism has a rectangular base:

width= 10 units

length = 13 units

The distance between the top and the bottom base = 17 units.

Volume of prism = Area of base × height

Area of base = area of rectangle = Length ×width

= 13× 10

Area of base = 130unit²

To get the height, we would apply Pythagoras theorem

Hypotenuse² = opposite² + adjacent ²

17² = h² + 8²

289 = h² + 64

h² = 289-64 = 225

h = √225

h = 15unit

Volume of the prism = 130 × 15

Volume of the prism = 1950unit³ = 1950 cubic units

Answer:

The answer is C which is 1950 on EDGE

Step-by-step explanation:

The surface area of a prism is 224 square inches. What is the surface area of a similar prism that has dimensions that are 1/4 the original dimensions?

Answers

Answer:

The surface area of the similar prism is 56 square inches

Step-by-step explanation:

Given surface area of prism, A = 224 square inches

The total surface area of a triangular prism = 2 x Area of triangle + ph

Area of triangle = ¹/₂bh

Where;

b is the base of the prism

h is the height of the prism

p is the perimeter of lateral surfaces

Area of prism involves the product of the dimensions, if the new dimensions is 1/4 the original dimensions;

Product of original dimensions = 224 square inches

1/4 of the product of original dimensions = 1/4 x 224 square inches

= 56 square inches

The surface area of the similar prism = 56 square inches

Thus, the surface area of the similar prism is 56 square inches

Nadia says the hypotenuse of this right triangle has a length of 73 because the Pythagorean theorem states that (28 + 45) squared = 73 squared.

3 squares are positioned to form a right triangle. The small square is labeled 28, medium square is 45, and large square is not labeled.

Which best describes Nadia’s solution
The answer could be
A:She is correct because she applied the Pythagorean theorem properly and her arithmetic is accurate.
B:She is incorrect because she should have used 45 as the length of the hypotenuse.
C:She is incorrect because she should have squared each leg length and then found the sum.
D:She is correct because the hypotenuse is the longest side of the triangle.

Answers

Answer:

C :She is incorrect because she should have squared each leg length and then found the sum

solve 6n + 12 - 8n = 22

Answers

Answer:

n = -5

Explanation:

6n + 12 − 8n = 22

[ Simplify both sides of the equation ]

6n + 12 − 8n  =22

6n + 12 + −8n = 22

(6n + −8n) + (12) = 22 [Combine Like Terms]

−2n + 12 = 22

−2n + 12  =22

[ Subtract 12 from both sides ]

−2n + 12 − 12 = 22 − 12

−2n = 10

[ Divide both sides by -2 ]

-2n / -2 = 10 / -2

n = -5

Answer:

n = -5

Step-by-step explanation:

6n + 12 - 8n = 22

Combine like terms

-2n +12 = 22

Subtract 12 from each side

-2n +12-12 = 22-12

-2n =10

Divide each side by -2

-2n/-2 = 10/-2

n = -5

The entertainment committee at Maplecrest Junior High School has narrowed down the theme of the Spring Dance to three choices. The ten committee members want to conduct a survey to determine which theme Maplecrest's 2000 students prefer. There will be three choices (Disco Fever, The Crazy Eighties, or Hip Hop Til You Drop) and the committee will go with the theme that gets the most votes.
Which of the following survey methods will allow the committee to make a valid conclusion about which theme Maplecrest's student body prefers?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
Each of the 10 committee members can ask 10 friends to obtain a sample of 100 students.

(Choice B)
B
Assign a number to each student, and use a computer program to generate 100 random numbers between 1 and 2000. Ask those students whose numbers are selected.

Answers

Answer:

B

Step-by-step explanation:

To make the survey fair, every student in the school has to have an equal chance to be selected to take the survey.  The first scenario would only allow friends of the committee members to be selected,  but the second one would give a chance to all students.

B is the answer . Hope that helps

A circle has a radius of
square route of 13 units and is centered at (-9.3, 4.1).
Write the equation of this circle.

Answers

Answer:

[tex](x+9.3)^{2} +(y-4.1)^{2} = 13[/tex]

Step-by-step explanation:

Answer:

(x+9.3)^2+(y-4.1)^2=13

Step-by-step explanation:

Simplify 4x-3(x-2y)+ .5(6x-8y)

Answers

Answer:

4x +2y

Step-by-step explanation:

4x-3(x-2y)+ .5(6x-8y)

Distribute

4x -3x+6y +3x -4y

Combine like terms

4x-3x+3x  +6y-4y

4x +2y

answer these questions
1. 3 1/2 + 3/4 =
2. 5/6 0f 54 =
put both answers

Answers

Look at the attached picture...

Hope it will help you....

-36 divided by what gives -4

Answers

Answer:

-36 divided by 9= -4

Step-by-step explanation:

-36 divided by 9= -4

USE A CALCULATOR OR DO THE INVERSE

Answer:

9

Step-by-step explanation:

-36/x=-4

x=-36/-4

Note, -/-=+

Therefore, x=9

Hope you understand

Find the surface area of the prism. Write your answer as a fraction or mixed number.

Answers

Answer:

2⅔ ft²

Step-by-step explanation:

A cube has 6 square faces

6 × (⅔)²

6 × 4/9

8/3

2⅔

Answer:

[tex] 2\frac{2}{3} {ft}^{2} [/tex]

Round your answer to the nearest hundredth..
B
?
5
2
A
С

Answers

Answer: m<B = 66.42

Step-by-step explanation:

Use cosine to find the missing angle.

Cosine = adjacent/hypotenuse

cos x = 2/5

since you know the side lengths and you’re finding the angle, use inverse cosine

cos -1 (2/5) = 66.4218215...

m<B = 66.42

Hey there!

We are looking for an angle. Whenever we want to look for an angle in a right triangle given two sides, we use inverse trigonometric functions. This is basically the inverse operation of the sine, cosine, and tangent. You could use it to undo any of these in an equation. If you said that the sine of x was equal to 1/2, you would do the inverse sine of 1/2 and get that x=30.

In our case, we see that the cosine of our angle is 2/5. How do we know that?

Well, we can remember the trigonometric functions using the mnemonic "soh cah toa"

SOH

Sine= Opposite/Hypotenuse

CAH

Cosine= Adjacent/Hypotenuse

TOA

Tangent= Opposite/Adjacent

If we look at the number values we have, we have 2 (the adjacent side to the angle) and 5 (the hypotenuse). This is adjacent over hypotenuse, which is the cosine. So, the cosine of our angle is 2/5.

Now, we can put this into an equation. I will call the measure of our mystery angle Θ (theta).

cosΘ= 2/5

We want to get the theta by itself to solve the equation. To do this, we have to use the inverse cosine on both sides of the equation to cancel out our cosine and figure out the value of theta. The inverse trig functions can be found on a calculator :)

cos[tex]^-1[/tex]cosΘ=cos[tex]^-1[/tex] 2/5

Θ ≈ 66.42

I hope that this helps! Now you will be able to find any angle given two sides of a right triangle! Have a wonderful day!

9(p-4) = -18 Please help guys!

Answers

Answer:

Step-by-step explanation:

What is the surface area?
10 cm
8 cm
10 cm
12 cm
10 cm
square centimeters

Answers

Step-by-step explanation:

surface area = (2*0.5*12*8) + (2*10*10) + (12*10)

= 96 + 200 + 120

= 416 cm^2

14)
Solve the equation for x.
6(4x - 10) = 84
A)
2
B)
3
4.
6

Answers

Answer:

ig D)))))))...

Step-by-step explanation:

......

6*4x = 24x

6*(-10) = -60

24x - 60 = 84

Add 60 to both sides

24x = 144

Divide both sides by 24

x = 6


1. Lily is paid $5.25 per hour for raking leaves.
What is the Dependent Variable:
What is the Independent Variable:
The Rate of Change:
The Initial Value:
The Equation:
Direct / Partial:

Answers

5.25 per hour dependent

independent raking leaves

A large purple bowl contains 5 blue marbles and 3 pink marbles. What is the probability a blue marble is drawn, replaced, and a second blue marble is drawn?

Answers

Answer:

[tex]\frac{25}{64}[/tex]

Step-by-step explanation:

Blue Marbles =5

Pink Marbles =3

Total =3+5=8

Probability of drawing two marbles with replacement

=P(First Blue Marble AND Second Blue Marble)

=P(First Blue Marble) X P(Second Blue Marble)

[tex]=\frac{5}{8}X \frac{5}{8}\\\\=\frac{25}{64}[/tex]

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