Mathematics High School

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

please help with my guided practice ​

Answers

it's 88 I've been getting so mix up forgive me So the area of the square is 64. When you find the area of the triangle you multiply the base by its height, which is 6 by 8 and then you divide by two. 64+24=88

(essay)
I was suprised that i....
It was about Mathematics factoring polynomials

Answers

Answer:

yes you should be surprised

Find the slope of the line that passes through the points (-2,3 ) and (4,-5).

Answers

Answer: The slope is m = -[tex]\frac{4}{3}[/tex]

Step-by-step explanation:

Answer: - 4,3

Step-by-step explanation:

2+y=11 What is the answer?

Answers

Answer:The answer has to be 9

(

Step-by-step explanation: Because 2 plus 9 equals 11 and this is an addition problem

Answer:

9

Step-by-step explanation:

To solve subtract 2 from both sides (subtraction property of equality)

2-2+y=11-2, then simplify

y=9

Solve for x:
−2(x + 3) = −2(x + 1) − 4.

A. 2
B. 3
C. All real numbers
D. No solution

Answers

Answer:

C

Step-by-step explanation:

Any value of x makes the equation true.

will mark brainlyest 10/19

Answers

Answer:

answer is 5

Step-by-step explanation:

The price for a cell phone was reduced from $30 to $18. By what percentage was the cell phone reduced?
Answer choices:
25%
40%
15%

Answers

Answer: 40%

Steps: Forty percent of $30 is $18.

Plz mark brainliest:)

Answer:

25%

Step-by-step explanation:

An object that is projected straight downward with initial
velocity v feet per second travels a distance s = vt + 16t2,
where t = time in seconds. If Ramón is standing on a
balcony 84 feet above the ground and throws a penny
straight down with an initial velocity of 10 feet per second,
in how many seconds will it reach the ground?
A. 2 seconds
B. 3 seconds
C. 6 seconds
D. 8 seconds

Answers

Answer: 2 seconds

Step-by-step explanation:

An object take 2 seconds to reach to the ground. option A is correct.

An object that is projected straight downward with initial velocity v feet pee second.
s = vt + 16t2
s = 84 feet and v = 10

What is Velocity?

Velocity is ratio of displacement to the time.

We have equation.
s = vt + 16t2
Now, put s =  84 and v = 10
84 = 10t+16t2
8t2+10t-42=0
Taking roots of equation.
We get t = 2 and -21/8
Since time couldn't be negative.
So,
t = 2  

Thus, An object take 2 seconds to reach to the ground.

Learn more about Velocity here:
https://brainly.com/question/18084516

#SPJ2

if b=49 degrees 13' and b=10 find a

Answers

Answer:

b. 8.6

Step-by-step explanation:

Given:

B = 49° 13'

b = 10

Required:

Find a

SOLUTION:

The reference angle given = 49° 13'. Converted to degrees, we have 49.2167°.

b = Opposite side to the reference angle B = 10

a = adjacent side to angle B = ?

To find a, apply the following trigonometric ratios formula:

[tex] tan(B) = \frac{opp.}{adj.} [/tex]

[tex] tan(49.2167) = \frac{10}{a} [/tex]

Multiply both sides by a

[tex] tan(49.2167)*a = \frac{10}{a}*a [/tex]

[tex] tan(49.2167)*a = 10 [/tex]

Divide both sides by tan(49.2167)

[tex] \frac{tan(49.2167)*a}{tan(49.2167)} = \frac{10}{tan(49.2167)} [/tex]

[tex] a = \frac{10}{tan(49.2167)} [/tex]

[tex] a = 8.6 [/tex] (nearest tenth)

Answer:

B.

Step-by-step explanation:

8.6

Solve for f: 7a−3d+6f=5

Answers

6f = -7a + 3d + 5
Divide everything by 6
F = -7a + 3d + 5 / 6

distance formula help​

Answers

Answer:

[tex](0,-1)[/tex]

Step-by-step explanation:

[tex](x^{2} -x^{1} )(y^{2} -y^{1} )[/tex]- the formula

[tex](-1 - -1) = 0[/tex]

[tex](-8 - -7) =-1[/tex]

So, the answer is:

[tex](0,-1)[/tex]

or

[tex]0=-1[/tex]

  ^

this is the swiggly line

Solve the system, by elimination please show all the steps!
-2x+2y+3z=0
-2x-y+z=-3
2x+3y+3z=5

Answers

Answer:

x = 1 , y = 1 , z = 0

Step-by-step explanation:

Solve the following system:

{-2 x + 2 y + 3 z = 0 | (equation 1)

-2 x - y + z = -3 | (equation 2)

2 x + 3 y + 3 z = 5 | (equation 3)

Subtract equation 1 from equation 2:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

0 x - 3 y - 2 z = -3 | (equation 2)

2 x + 3 y + 3 z = 5 | (equation 3)

Multiply equation 2 by -1:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

0 x+3 y + 2 z = 3 | (equation 2)

2 x + 3 y + 3 z = 5 | (equation 3)

Add equation 1 to equation 3:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

0 x+3 y + 2 z = 3 | (equation 2)

0 x+5 y + 6 z = 5 | (equation 3)

Swap equation 2 with equation 3:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

0 x+5 y + 6 z = 5 | (equation 2)

0 x+3 y + 2 z = 3 | (equation 3)

Subtract 3/5 × (equation 2) from equation 3:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

0 x+5 y + 6 z = 5 | (equation 2)

0 x+0 y - (8 z)/5 = 0 | (equation 3)

Multiply equation 3 by 5/8:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

0 x+5 y + 6 z = 5 | (equation 2)

0 x+0 y - z = 0 | (equation 3)

Multiply equation 3 by -1:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

0 x+5 y + 6 z = 5 | (equation 2)

0 x+0 y+z = 0 | (equation 3)

Subtract 6 × (equation 3) from equation 2:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

0 x+5 y+0 z = 5 | (equation 2)

0 x+0 y+z = 0 | (equation 3)

Divide equation 2 by 5:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

0 x+y+0 z = 1 | (equation 2)

0 x+0 y+z = 0 | (equation 3)

Subtract 2 × (equation 2) from equation 1:

{-(2 x) + 0 y+3 z = -2 | (equation 1)

0 x+y+0 z = 1 | (equation 2)

0 x+0 y+z = 0 | (equation 3)

Subtract 3 × (equation 3) from equation 1:

{-(2 x)+0 y+0 z = -2 | (equation 1)

0 x+y+0 z = 1 | (equation 2)

0 x+0 y+z = 0 | (equation 3)

Divide equation 1 by -2:

{x+0 y+0 z = 1 | (equation 1)

0 x+y+0 z = 1 | (equation 2)

0 x+0 y+z = 0 | (equation 3)

Collect results:

Answer: {x = 1 , y = 1 , z = 0

Answer:

x= 1, y = 1, z=  0

Step-by-step explanation

-2x + 2y + 3z = 0

2x + 3y + 3z = 5

-2x - y + z = -3

2x + 3y + 3z = 5

(solving systems)

5y + 6z = 5

2y + 4z = 2

(rewriting)

z = 0

y = 1

-2x + 2 x 1 + 3 x 0

x=1

A-55
B-65
C-75
D-90
Please help meee it’s a test

Answers

The answer would be B.

angle 2 = 90

180 (total degrees in a triangle) - 90 - 25 = 65

The answer is b the angle is 65

Graph the linear equation
5x - y = 30 by following these steps:
Step 1: Find the x-intercept. Let y = 0 and solve for x.
=

Answers

Answer:

Step-by-step explanation:

5x-(0)=30

add 0 to both sides to cancel

5x=30

divide by 5 on both sides to cancel

x=6

A taco stand sells tacos for $3.50 each. The stand's expenses for the day are
$180. How many tacos do they need to sell in a day in order to make a profit?
Write and solve an equation.

Answers

52 tacos

3.5x<180

Step-by-step explanation:

it would be bigger than symbol because the minimum they need to sell is 52 but they could sell more

the number of pounds of dog food that a pet store has is represented by the equation
How many pounds of dog food will the pet store have after 21 days?

Answers

Answer:

what is the equation?

Step-by-step explanation:

Complete the steps to solve for x.

-0.66x + 0.46x = 5.2
X = 5.2

Answers

Answer:

[tex]\huge\boxed{x=-26}[/tex]

Step-by-step explanation:

[tex]-0.66x+0.46x=5.2\qquad|\text{combine like terms}\\\\(-0.66+0.46)x=5.2\\\\-0.2x=5.2\qquad|\text{multiply both sides by (-5)}\\\\(-5)(-0.2x)=(-5)(5.2)\\\\x=-26[/tex]

Answer:

-26

Step-by-step explanation:

music lessons cost $20 per week how much do 6weeks of lessons cost

Answers

Answer:

120

Step-by-step explanation:

Answer:

$120

Step-by-step explanation:

20 × 6= 120

(it said my answer had to be 20 characters long so I typed this.)

A taxi cab charges $1.45 for the flat fee and $0.55 for each mile. Write an inequality to determine how many miles Ariel can travel if she has $35 to spend.
PLZ NEED HELP :( WILL GIVE BRAINIEST IF RIGHT

A $1.45 + $0.55x ≥ $35
B $1.45 + $0.55x ≤ $35
C $0.55 + $1.45x ≥ $35
D $0.55 + $1.45x ≤ $35

Answers

Answer:

B. $1.45 + $0.55 is less than or equal to $35

Step-by-step explanation: Because Ariel has to pay $1.45 when she gets in the taxi then each mile after (x) is $0.55 and she only has $35 therefore it is less than or equal to.

I think answer should be b. Please give me brainlest I hope this helps let me know if it’s correct or not okay thanks bye

{(−7, 2), (−2, 2), (0, 1), (4, 5)}

Answers

Answer:

domain={-7,-2,0,4} and range={2,1,5}

Step-by-step explanation:

If m(x) = 4(x - 2), find m(-5)

Answers

Answer:

szdg

Step-by-step explanation:

hesre

Answer:

-5×x=4(x-2)

-5x=4x-8

-5x-4x=-8

-9x=-8

Divide both sides by -9x

x=8/9

Step-by-step explanation:

Find the missing value in the follwing equivalent ratios: StartFraction 1 inch Over 2.54 centimeters EndFraction = StartFraction 4.5 inches Over question mark centimeters EndFraction To find how many centimeters are in 4.5 inches, you should 2.54 by 4.5 4.5 inches = centimeters

Answers

Answer:

11.43 centimeters

Step-by-step explanation:

Given the equivalent ratios :

StartFraction 1 inch Over 2.54 centimeters EndFraction = StartFraction 4.5 inches Over question mark

1 inch / 2.54 cm = 4.5 inch /?

Let missing value = x

1 inch / 2.54 cm = 4.5 inch /x

Cross multiply

1 inch * x = 2.54 * 4.5

1 inch * x = 11.43

x = 11.43 cm

Hence, missing value = 11.43 centimeters

Answer:

it is multiply and 11.43

What is the value of -8 + 4.5 – (-1.2

Answers

Answer:-2.3

Step-by-step explanation:

-8 + 4.5 = -3.5

-3.5 -(-1.2)= -2.3

help please :( help me :)​

Answers

Answer:

0.7

Step-by-step explanation:

-4 - x1

3 - y1

2- x2

-1- y2

-1 - 3

2 - -4

-4

6

-4/6 = 0.7

Answer:

-4/6

Step-by-step explanation:

-1-3/2-(-4)=-4/6

HELP PLEASE!!! Show how you got the answer as well!

Answers

Answer:

2 ans is 7 2x_4+2x_7=17

Rewriting linear equation in standard form (Ax+By=C)

Answers

it would be 9x - 10y = 75 in standard form

9514 1404 393

Answer:

  9x -10y = 75

Step-by-step explanation:

The least common denominator is the least common multiple of the denominators. Here, that is 5×3 = 15. Multiplying both sides of the equation by that gives ...

  15(3/5x -2/3y) = 15(5)

  9x -10y = 75

Which list shows the numbers below in order from least to greatest? −5.9, −234, 5.78, 58%−5.9, −234, 5.78, 58% −234, −5.9, 58%, 5.78−234, −5.9, 58%, 5.78 −5.9, −234, 58%, 5.78−5.9, −234, 58%, 5.78 58%, −234, 5.78, −5.958%, −234, 5.78, −5.9

Answers

-w,p sixteen - um.iy and 12.66

Joe and Carmen are partners in a business. Joe makes $2.00 profit for every $5.00 profit that Carmen makes. If Carmen makes $20 on the first item they sell, how much profit will Joe make?

Answers

Joe will make a $8.00 profit

Which is the factored form of
x2 - 5x – 14

Answers

Answer:

Step-by-step explanation:

espera y termino y te ayudo vale que me falta poco vale

Answer:

Step-by-step explanation:

(X+2)(x-7)

Find the length indicated.
5) Find AB
Please help

Answers

Answer:

20

Step-by-step explanation:

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