Write and evaluate algebraic expressions

Write And Evaluate Algebraic Expressions

Answers

Answer 1

Answer:

9b+10s

Step-by-step explanation:

you are trying to find an expression for total cost after an unknown amount of hours. you need to multiply the number of hours (defined as b and s in this example) by the cost per hour given ($9/hr for the bike and $10/hr for the scooter).

this would result in the following expression: total cost=9b+10s


Related Questions

the cost of a popsicle at the snack stand is $0.75 let p represent the number of popsicles and c represent total cost use an equation to represent the relationship between the numbers of popsicles bought and the total cost

Answers

Answer:

0.75p=c

Step-by-step explanation:

Factor Completely. 2a(x+y)+b(x+y)

Answers

Let's simplify step-by-step.

2a(x+y)+b(x+y)

Distribute:

=(2a)(x)+(2a)(y)+(b)(x)+(b)(y)

=2ax+2ay+bx+by

Answer:=2ax+2ay+bx+by

The simplification of the expression is 2ax+2ay+bx+by.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

An algebraic equation is a statement of the equality of two expressions formulated by applying algebraic operations to a set of variables.

Given expression is 2a(x+y)+b(x+y). The expression will be solved as below,

E = 2a(x+y)+b(x+y)

Multiply the values in the whole bracket and simplify,

E = (2a)(x)+(2a)(y)+(b)(x)+(b)(y)

E = 2ax+2ay+bx+by

The simplified expression is given as 2ax+2ay+bx+by.

To know more about an expression follow

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Solve the equations below exactly. Give your answers in radians, and find all
possible values for t in the interval 0 (less than or equal to ) t (less than or equal to) 2 pi
If there is more than one
answer, enter your solutions in a comma separated list.

(a) sin (t) = - square root of 3 divide by 2
when t=

(b) cos (t) = 1/2
when t=

Answers

Answer:

See below (along with unit circle attached)

Step-by-step explanation:

[tex]sin(t)=-\frac{\sqrt{3}}{2}[/tex]

[tex]t=\frac{4\pi}{3},\frac{5\pi}{3}[/tex]

[tex]cos(t)=\frac{1}{2}[/tex]

[tex]t=\frac{\pi}{3},\frac{5\pi}{3}[/tex]

It really helps to use the unit circle! I've attached it below for your convenience. Keep in mind that a point on the unit circle is defined by [tex](cos(\theta),sin(\theta))[/tex] where [tex]\theta[/tex] is measured in radians.

The scale on a map is 2 in. =250 miles. If Toledo and Kansas City are 2.25 in. How far are they apart in real life?

Answers

Answer:

281.25 miles

Step-by-step explanation:

2=250

1=125

0.5=62.5

0.25=31.25

250+31.25=281.25

A bicycle has a listed price of $643.95 before tax. If the sales tax rate is 6.75%, find the total cost of the bicycle with sales tax included. Round your answer to the nearest cent, as necessary.

Answers

Answer:

  $687.42

Step-by-step explanation:

The total with tax is ...

  (price) + (tax rate)×(price)

  = price(1 +tax rate)

  = $643.95×1.0675 ≈ $687.42 . . . price with tax

In a newspaper, it was reported that the number of yearly robberies in Springfield in 2011 was 250, and then went up by 20% in 2012. How many robberies were there in Springfield in 2012?

Answers

First, we need to find out what 20% of 250 is

250 x .2 = 50

You then add the answer (50) to the yearly number of robberies in Springfield in 2011 (250)

250 + 50 = 300

The number of robberies in Springfield in 2012 is 300

ratio of boys to girls is 2:3 what is the ratio of boys of there are 6 girls​

Answers

Answer:

4:6

Step-by-step explanation:

2 x

- = ----

3 6

6/3 = 2

2 x 2 = 4

PLEASE HELP ILL GIVE BRAINLIESTTTT

Answers

Answer:

about 5.1 units

Step-by-step explanation:

to find the length between two points you can use the pythaogorean theorem

5^2 + 1^2 = c^2

25 + 1 = c^2

26 = c^2

c is about 5.09901

rounding to the nearest tenth we get 5.1

f(x) = {(1,0),(2,1),(3,-1),(4, -2),(-1,-2)
Find the inverse of the function

Answers

See attached picture please

A local flower shop sells a dozen roses for $15.48 if each rose cost the same price how much would It cost per rose

Answers

one rose would cost $1.29

Jason considered two similar televisions at a local electronics store. The generic version was based on the brand name and was three eighths the size of the brand name. If the generic television set is 12 inches by 24 inches, what are the dimensions of the brand name television?

Answers

Answer:

Option (C) is correct, the dimensions of the brand name television = 32 inches by 64 inches.

Step-by-step explanation:

Given :  The generic version was based on the brand name and was three eighths the size of the brand name and both are similar.

The dimensions of the generic television set = 12 inches by 24 inches

Let the dimensions of brand name be x by y such that

three eighth of x=12 inches

and three eighth of y=24 inches

Therefore, the dimensions of the brand name television = 32 inches by 64 inches.

Hence option (C) is correct.

Translate the phrase into a variable expression. Use the letter p to name the

variable. If necessary, use the asterisk (*) for multiplication and the slash

(7) for division

the total number of peanuts divided among 4 baseball fans

Answers

Answer:

p/4

Step-by-step explanation:

You have p amount of peanuts and 4 baseball fans, so you divide p among 4, which is p/4

Answer: its p/10

Step-by-step explanation: i just did it

index notation simplify 4^9 x 4^3

Answers

Answer:

[tex]4^{12}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , then

[tex]4^{9}[/tex] × [tex]4^{3}[/tex] = [tex]4^{(9+3)}[/tex] = [tex]4^{12}[/tex]

A rectangle that measures 10 inches by 7 inches.

Which expression will determine the perimeter, in inches, of the rectangle?

Answers

Answer:

( 2 x 10 ) + ( 2 x 7)

Step-by-step explanation:

Hope this helped!

Answer: 34 inches  Perimeter = 2L + 2W

Step-by-step explanation:

A rectangle has two sets of equal side lengths.    We'll assign 10 inches to the length, L, and 7 inches to the width, W.

The perimeter of a rectangle is 2L + 2W

Perimeter, P = 2(10) + 2*(7)

P = 20 + 14

P = 34 inches

Rachel buys 1 gallon of milk. Her sister Abby uses 15 quarts of the milk in a recipe. Then her mother
uses 3 cups of the milk in a different recipe
Select all of the true statements below
O A Rachel's mother uses more milk than her sister Abby uses
B. There are 56 fluid Ounces of milk left
C. There are 9 cups of milk left
D. There is more than gallon of milk lett,
O E There is more than 5 gallon of milk left,

Answers

Answer:

Option B

Step-by-step explanation:

Help help help help math ASAP

Answers

Answer:that is 0.01541

Step-by-step explanation:

Part A: James bought a cake that weighs pounds. How many ounces does the cake weigh? Show your work. (5 points)

[16 ounces = 1 pound]

Part B: A running tap dispenses 0.15 gallons of water every second. How many pints of water is dispensed after 20 seconds? Show your work. (5 points)

[1 gallon = 4 quarts, 1 quart = 2 pints]

Question 4 options:

Answers

Answer:

For part a multiply the pound amount by 16. Your work would look something like this... (not actual answer) 10 pounds x 16= 160 ounces. So 10 pounds= 160 ounces!

For part B

0.15 gallons=1.2 pints

Example: .15 x 4= .6

.6 x 2= 1.2 pints

1.2 x 20 seconds= 24 pints!

Hope this helps

Step-by-step explanation:

:)

Answer:

Part A: 52 oz

Part B: 24 pints

Step-by-step explanation:

Part A:

Since 1 pound = 16 ounces, the number of ounces is 16 times the number of pounds. To convert pounds to ounces, multiply the pounds by 16.

3 1/4 lb × 16 oz/lb =

= 13/4 × 16 oz

= 13 × 4 oz

= 52 oz

Answer: 52 oz

Part B:

We need to convert from gallons to pints.

1 gallon = 4 quarts

1 quart = 2 pints

That means that 1 gallon = 8 pints.

0.15 gallon/second × 8 pints/gallon =

= 1.2 pints/second

The tap dispenses 1.2 pints/second.

Now we calculate the number of pints dispensed in 20 seconds.

1.2 pints/second × 20 seconds = 24 pints

Answer: 24 pints

Pizza chefs buy 5 5/8 kg of flour. They use 3/5 of the flour to make 9 equal mini pizzas. How much flour did they use for each mini pizza? Express your answer as a fraction in its lowest form.

Answers

Answer:

Flour used to make 9 pizzas = 5[tex]\frac{5}{8}[/tex] × [tex]\frac{3}{5}[/tex]

                                                = 3[tex]\frac{3}{8}[/tex]

Flour used for each pizza = 3[tex]\frac{3}{8}[/tex] ÷ 9

                                           = 3[tex]\frac{3}{8}[/tex] × [tex]\frac{1}{9}[/tex] (reciprocal of 9)

                                           = [tex]\frac{3}{8}[/tex]

The amount of flour used for each mini pizza is [tex]\frac{3}{8}[/tex] kg.

The kinetic energy, k, the amount of energy that a moving object has, can be found for a particular roller coaster by the radical function v equals the square root of the quantity 2 times k over the 1,000 period If the velocity, v, of the roller coaster is 10 meters per second, what is the kinetic energy?

200,000 Joules
10,000 Joules
50,000 Joules
5,000 Joules

Answers

The kinetic energy of the roller coaster is 2000Joules

Given the formula for expressing the velocity of the roller coaster is given as:

[tex]v = \sqrt{\frac{2k}{1000} }[/tex]

Given the following parameter:

v = 10m/s

Substitute the given parameter into the formula to have:

[tex]10 = \sqrt{\frac{2k}{1000} }[/tex]

Square both sides of the equation:

[tex](10)^2=(\frac{2k}{1000} )^2\\100=\frac{4k^2}{1,000,000} \\4k^2=100,000.000\\k^2=\frac{100,000,000}{4} \\k^2=4,000,000\\k=2000Joules[/tex]

Hence the kinetic energy of the roller coaster is 2000Joules

Learn more on subject of formula here: https://brainly.com/question/657646

Answer:

You need to use √2k/1000 formula.

2000 joule is the correct answer.

For what values of x and y are the triangles to
the right congruent by HL?
M
X=1
35
=
and y=

Answers

Answer:

y=48

Step-by-step explanation:

180-135=55-7=y=48

What is 0.459 roused to the nearest hundredth

Answers

Answer:

0.459

the 9 rounds the 5 up to a 6 so its 0.46

Answer:

The answer is 0.46

Step-by-step explanation:

The 9 is over 5, so you round up which bumps the 5 up to a 6. It could also be written as 0.460 but the extra 0 is unnecessary.

If any number in decimal numeration system is denoted by 723 then what is the value of the number in binary numeration system?​

Answers

Answer:

723 -> 01011010011

Step-by-step explanation:

What’s a rational number between -1/6 and 1/9

Answers

Answer:

LCM of 6 and 9 are 18

1/6 = 1×3/6×3

= 3/18

= 3×10/18×10

= 30/180

1/9 = 1×2/9×2

= 2/18

=2×10/18×10

= 20/180

therefore rational no.s between 1/6 & 1/9 are

21/180,22/180,23/180,24/180,25/180,26/180,27/180,28/180,29/180

Step-by-step explanation:

sorry if im wrong

Answer:

1/18.

Step-by-step explanation:

-1/6 = -3/18 and 1/9 = 2/18

so one rational number between these values is  1/18.

Find the domain of the function

Answers

Answer:

The answer is (-1,1)

Step-by-step explanation:

¯\_(ツ)_/¯

Customers at Musicland can buy 4 DVDs for $15. How many DVDs can April buy at Musicland with $75?

Answers

Answer:

20 I believe because 15 divided by 4 is 3.75 so I then divided 75 by 3.75 giving me 20:)

Whats the solution(X-1)=5x+2

Answers

Answer:

X= - ¾ X= - 0.75

Step-by-step explanation:

thats all i can do hope it help :D

Use the following table to answer the questions below. Give your probabilities as DECIMALS rounded to the hundredths place.
Fair Hair
Dark Hair
Blue Eyes
8
5
Other
7
10
Jamie investigated hair and eye color.
One of the people is chosen. Calculate the probability of choosing
a. Someone with Blue eyes
b. Someone with fair hair and blue eyes
A person with dark hair is chosen. Calculate the probability of
1. them having blue eyes.
2. them not having blue eyes

Answers

Answer: 1 =.43, 2=.26, 3=.16 4=.33

Step-by-step explanation: So to find all these answers we have to know the total number of people in the chart 30. Then we have to find what info we need from the chart and divide it by the total number of people. I hope this helped I tried to make it simple.

a coffee mug collection includes four red mugs, eight yellow mugs and two white mugs. What is the probability of selecting two white mugs one after another?

Answers

Assuming that the selection process was done without replacement, the probability of selecting two white mugs without replacement is 1/28

Given data

Sample Space

Red mugs = 4

yellow mugs = 8

white mugs = 2

Sample Size = 4+8+2 = 14

We are going to assume the selection was done with out replacement

Hence the probability of selecting the first white mug is

Pr(W1) = 2/8 = 1/4

The probability of selecting the second white mug is

Pr(W2) = 1/7

Hence the probability of selecting  two white mugs one after another

= 1/4*1/7

=1/28

Learn more about probability at:

https://brainly.com/question/25839839

1. If you roll two fair dice, what is the probability that the sum of both rolls is 8?

Answers

Answer:

1/4

Step-by-step explanation:

Sample space = 12

Prob of sum = 8 is:

[2,6], [3,5]. [4,4]

That is 3/12 = 1/4

Morgan had 1/2 a box of candy left after the movie she ate 1/2 of that. On the way home and still had 8 pieces left. She give one to her Little brother. How many pieces of candy were in the box when Morgan bought it?

Answers

Answer:

16

Have a good day <3

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