Sara pays $4.50 for 3 pounds of bananas and 2 pounds of oranges. One pound of oranges costs $0.75 more than one pound of bananas. Let b represent the price per pound of bananas. What equation represents the situation, and what is the price per pound of each fruit?

Answers

Answer 1

The price of one pound of banana = b

As one pound of oranges costs $0.75 more than one pound of bananas, so, the price of one pound of orange = b+0.75.

The price of 3 pounds of banana = 3b,

and the price of 2 pounds of oranges = 2(b+0.75).

Now, as she pays $4.50 for 3 pounds of bananas and 2 pounds of oranges.

So, for this situation the required equation is

3b + 2(b+0.75) =4.5

On solving this equation, we have

[tex]\Rightarrow 3b+2b+2\times0.75=4.5[/tex]

[tex]\Rightarrow 5b +1.5=4.5[/tex]

[tex]\Rightarrow 5b =4.5-1.5=3[/tex]

[tex]\Rightarrow b =\frac 3 5=0.6[/tex]

Hence, the price of one pound of banana = $ 0.60

and the price of one pound of orange

=b+0.75= 0.60+0.75=$1.35.


Related Questions

The answer is 10 but just tell me why its ten and I will give brainliest

Answers

Answer:

10 inches

Step-by-step explanation:

[tex]\frac{192}{375}[/tex]=[tex]\frac{8}{x}^{3} }[/tex]

[tex]\frac{192}{375}[/tex]=([tex]\frac{512}{x^{3} }[/tex])

x^3=512*[tex]\frac{375}{192}[/tex]

x^3=1000

[tex]3\sqrt{x^{3} }[/tex]=[tex]3\sqrt{1000}[/tex]

x=10 in

Answer:

it equals 10

Step-by-step explanation:

There are approximately 1.2 × 10 8 households in the U.S. If the average household uses 400 gallons of water each day, what is the total number of gallons of water used by households in the U.S. each day?

Answers

Answer:

Que

Step-by-step explanation:

Is Figure A a reflection of Figure B?



Answers

Answer:

No

Step-by-step explanation:

ANSWER FAST FOR BRAINLIEST AND FIVE STARS AND THXS!!!

Answers

Answer:

integers

Step-by-step explanation:

pleassdee need help I'll brainlist ​

Answers

Answer:

A^2 means a*a

Step-by-step explanation:

A^2 = 5^2=5*5=25

3a^2=3*5^2=3*25=75

A^2+7=5^2+7=25+7=32

A) a^2 means a*a

B) substitute 5 for a on i, ii, and iii problems

The measure of one angle of a linear pair is 80°. If the
measure of the other angle is 4x°, what is x?

Answers

X = 25

Linear pair means both angles equal 180.
Therefore 4x + 80 = 180
And then 4x = 100
And finally x= 25

what other properties do we use to rewrite expressions and equations​

Answers

Answer:

The commutative, associative, and distributive properties help you rewrite a complicated algebraic expression into one that is easier to deal with. When you rewrite an expression by a commutative property, you change the order of the numbers being added or multiplied.

Step-by-step explanation:

Commutative, Associative and Distributive  properties do we use to rewrite expressions and equations​.

What is Expression?

An expression is combination of variables, numbers and operators.

The properties we use to rewrite expressions and equations​ are

The commutative

Associative, and

distributive properties

These properties help to rewrite a complicated algebraic expression into simpler form.

When you rewrite an expression by a commutative property, you change the order of the numbers being added or multiplied.

Hence, Commutative, Associative and Distributive  properties do we use to rewrite expressions and equations​.

To learn more on Expressions click:

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#SPJ2

2 triangles have identical side lengths and angle measures. The second triangle is rotated about 45 degrees.
What type of transformation maps ΔQRS to ΔQ'R'S'?

dilation
reflection
rotation
translation

Answers

Answer: C. Rotation

Step-by-step explanation:

on ed

Answer:

the answer is C rotation

Step-by-step explanation:

on ed 2020

3. Tom, Sam and Matt are counting drum beats.
Tom hits a snare drum every 4 beats.
Sam hits a kettle drum every 10 beats.
Matt hits a bass drum every 12 beats.
Tom, Sam and Matt start by hitting their drums at the same time.
How many times are each of their beats heard before Tom, Sam and Matt next hit
their drums at the same time?

Answers

Answer:

When 60 beats are heard, Tom hits 15 snare drums, Sam hits 6 kettle drums, and Matt hits 5 bass drums.

Step-by-step explanation:

The Least Common Multiple ( LCM )

The LCM of two integers a,b is the smallest positive integer that is evenly divisible by both a and b.

For example:

LCM(20,8)=40

LCM(35,18)=630

Since Tom, Sam, and Matt are counting drum beats at their own frequency, we must find the least common multiple of all their beats frequency.

Find the LCM of 4,10,12. Follow this procedure:

List prime factorization of all the numbers:

4 = 2*2

10 = 2*5

12 = 2*2*3

Multiply all the factors the greatest times they occur:

LCM=2*2*3*5=60

Thus, when 60 beats are heard, Tom hits 15 snare drums, Sam hits 6 kettle drums, and Matt hits 5 bass drums.

5 + 3 (y - 4 ) < 5 ( y +2 ) - y

Answers

The solution to the inequality is [tex]y[/tex] > [tex]-17[/tex]

Heeeeeeeeelp plsssssssss

Answers

D
Self explanation :

Rory is at the local mall and her favorite type of jeggings are on sale. The jeggings are now
priced at $7 per pair, tax free. She has $27 with her, but she needs to have $6 leftover to
spend on a movie theater ticket.
Which inequality represents how many pairs of jeggings Rory can buy, where / represents
the number of jeggings?

Answers

Answer:

j ≤ 3

Step-by-step explanation:

Since she has $27 with her and needs a balance if $6, the amount of money she can spend on buying the jeggings will be $27-$6 = $21

This means that she has $21 to spend on buying the jeggins

From the question, one jeggings cost $7, so the maximum number of jeggings she can buy is 21/7 = 3

So the inequality that represents this will be;

j ≤ 3

This is because she can decide to buy less than 3, but never can she buy more than 3 because of her budgetary constraints

The number of free spng to download is determined by usomg a ratio. When you purchase 40 songs, you get 24 free song download. How many songs must you purchase in order to get 6 free song downloads?​

Answers

Answer:

10

Step-by-step explanation:

set up a proportion, 40/24 and x/6, 6 times 40 = 240, divide by 24 to get 10

Exsplain the errors

Answers

Step-by-step explanation:

Hi, the mistake was in the calculation of the second line to the third line.

    7-3[tex]x[/tex]+4[tex]y[/tex]

=7 - 3(-4) + 4(2)

=7 - (-12) + 8

=7 +12 + 8

=19+ 8

=27

EASY MATH QUESTION PLEASE I NEED HELP! ​

Answers

Answer:

x=8/3

Step by step

determine the defined range

remove parentheses

move the terms

collect like terms and calculate

divide both sides

Rectangle A measures 8 inches by 5 inches. Rectangle B is a scaled copy of Rectangle A. Select all the measurement pairs that could be the dimensions of Rectangle B. 1. 4 inches by 2.5 inches 2. 15 inches by 10 inches 3. 24 inches by 15 inches 4. 9 inches by 6 inches

Answers

Answer:

C. 24 inches by 15 inches

Step-by-step explanation:

Given

[tex]Rectangle: 8\ by\ 5\ inches[/tex]

Required

Determine the scale copies

To do this, we calculate the ratio.

[tex]Ratio = \frac{Actual}{Measured}[/tex]

Analyzing A.

Sides: 1.4 by 2.5 inches

We start by calculating ratio of each sides;

Length:

[tex]Ratio =\frac{8}{1.4}[/tex]

[tex]Ratio = \frac{40}{7}[/tex]

Width:

[tex]Ratio = \frac{5}{2.5}[/tex]

[tex]Ratio = 2[/tex]

Analyzing B.

Sides: 15 inches by 10 inches

Length

[tex]Ratio = \frac{8}{15}[/tex]

Width:

[tex]Ratio = \frac{5}{10}[/tex]

[tex]Ratio = \frac{1}{2}[/tex]

Both ratios are not equal

Analyzing C.

24 inches by 15 inches

Length

[tex]Ratio = \frac{8}{24}[/tex]

[tex]Ratio = \frac{1}{3}[/tex]

Width:

[tex]Ratio = \frac{5}{15}[/tex]

[tex]Ratio = \frac{1}{3}[/tex]

Both ratios are equal

Analyzing D.

Sides: 9 inches by 6 inches

Length

[tex]Ratio = \frac{8}{9}[/tex]

Width

[tex]Ratio = \frac{5}{6}[/tex]

Both ratios are not equal

Option C answers the question because both ratio are equal

Encuentra la ecuación del siguiente enunciado. En una caja de cartón se empacan latas de atún. Al acomodarlas, resulta que caben 5 latas más a lo largo que a lo ancho y a lo alto caben 3 latas más que a lo ancho. ¿Cuántas latas caben en total en la caja?
1 punto

x+5 = x+3

(x) (x+5) (x+3)

x3 + 8x2 + 15x

x (x+5) = x + 3

Answers

Answer:

x + (x + 3) + (x + 5)

Step-by-step explanation:

Sea x el número de latas que caben en el ancho.

Como hay 5 latas más que encajarán en la longitud, el número total de latas que encajarán en la longitud será (x + 5) latas

También caben tres latas más en la altura, la cantidad de latas que será (x + 3)

Así que ahora, el número total de latas que cabrán en la caja será;

x + (x + 3) + (x + 5)

y=-7x+6 in standard form. I’ll give brainliest. Hurry pls

Answers

Answer:

7x+y=6

Step-by-step explanation:

trust

18.08 x 1.3 + 2.12 then multiply the answer by 2.12
then add the 2 answers
i will give brainliest

Answers

Answer:

79.94688

Step-by-step explanation:

Please Help ASAP! 8 POINTS!!

Ashley spends ⅙ hours of a day online. Ashley spends 3/8 of that time writing a blog. How long does Ashley spend writing a blog?

Answers

Answer:

It should be 1/16

Step-by-step explanation:

The word of in a word problem means multiplication so if you multiply you get 1/16

Answer:

Step-by-step explanation:

Time spend on online = 1/6 of 24 hours

                                    = [tex]\frac{1}{6}*24[/tex]

                                    =  4 hours

Time spend on writing a blog = 3/8 of 4

                                                 = [tex]\frac{3}{8}*4[/tex]

                                                 = [tex]\frac{3}{2}= 1\frac{1}{2}[/tex]

                                                 = 1 hour 30 minutes

what is the value of the 4 in 3.954

Answers

I believe it is .004 or 4 thousandths

use synthetic division

f(x) = x^3 - 6x + 1 for x = 6

ILL MARK BRAINLIST IF ITS RIGHT !!!

Answers

Answer:

181

Step-by-step explanation:

Hope this helps!

if your highway gas mileage is 26 and you take a trip that is 600 miles how much gas will you use​

Answers

Answer: 23.07 gallons of gas

Anne works for a company that manufactures liquid dyes for clothing. She currently wants to mix up some 30%-concentrated red dye. She has 66 gallons of 21%-concentrated red dye, as well as plenty of 51%-concentrated red dye. How many gallons of the 51%-concentrated red dye will Anne need to add to the 21%-concentrated red dye to make a batch with a concentration of 30%?

Answers

Answer:

28.29 gallons

Step-by-step explanation:

Given that the available amount of 21%-concentrated red dye= 66 gallons.

Let x gallons of 51%-concentrated red dyes to be mixed with 56 gallons of 21%-concentrated red dye to get 30%-concentrated red dyes.

Total amount of the resulting mixture = 66 + x gallons.

Amount of red dyes in the mixture = (21% of 66) + (51% of x)

To get the resulting mixture as 30%-concentrated red dyes, we have

30% of (66+x) = (21% of 66) + (51% of x)

[tex]\Rightarrow 30(66+x)=21\times66+51x\\ \Rightarrow 30\times 66 +30x= 21\times66+51x\\\Rightarrow 51x-30x=66(30-21)\\\Rightarrow 21x=66\times 9\\\Rightarrow x = 28.29[/tex]

Hence, the amount of 51%-concentration red dyes to be mixed = 28.29 gallons.


Apply the Triangle Sum Theorem, and solve for x.
5x° (Angle G)
4xº(Angle H)
3xº(Angle J)

Answers

Answer:

15°

Step-by-step explanation:

5x°+4x°+3x°=180°

12x°=180°

X=(180/12)°

X=15°

Write the equation of the line that passes through the points (-7,9) and (-7,1). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.​

Answers

Answer:

It is a vertical line

Step-by-step explanation:

Find the slope using rise over run (y2 - y1) / (x2 - x1)

Plug in the points:

(y2 - y1) / (x2 - x1)

(1 - 9) / (-7 + 7)

-8/0

= undefined

Dividing by 0 gives you an undefined number. This means that the slope is undefined, and the line is a vertical line.

The equation of the line that passes through the points (-7,9) and (-7,1) is x = -7.

The point slope formula is represented below:

y - y₁ = m(x - x₁)

where

m = slope

Let's find slope

(-7, 9)(-7, 1)

m = 1 -9 / -7 - (-7)

m = -8 / 0 = Undefined slope.  

The slope is an undefined slope. Therefore, the line is a vertical line and cannot be written in a slope intercept or point slope form.

The equation of the line can be written as x = c.

where

c = constant

Therefore,

x = -7

The equation is  x = -7

read more: https://brainly.com/question/19478605?referrer=searchResults

Simplify.
7x + 3(x - 2) - 4x + 8

Answers

Answer:

6x+2

Step-by-step explanation:

First you have to do the parenthesis.

The equation should be now,

7x+3x-6-4x+8

I would now add the variables

6x-6+8

6x+2

Suppose x, y, and z are all rational numbers. Is
a rational number? Explain
2
your answer.
O Yes; the square and square roots cancel out, leaving a rational number.
There is not enough information to answer the question.
O No; the square root of any number is irrational.
O No; a quotient of rational numbers is not always rational.

Answers

Yes number 1 yes yes

A clock originally priced at $88 was sold at a sale for $77. The percentage discount?

(a) 11 (b) 12 1/2 (c)14 2/7 (d) 23

Answers

Answer:

It would be 12 1/2. (12.5%)

Anyone Need Help Urgent
Given a cylindrical tank, in which situation will you find surface area and in which situation volume.
a)To find how much it can hold.
b)Number of cement bags required to plaster it
c)To find the number of smaller tanks that can be filled with water from it ? .....I will mark as BRAINLIEST.... Thank you!

Answers

Answer:

c

Step-by-step explanation:

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