Nolan and his children went into a grocery store and he bought $8 worth of apples
and bananas. Each apple costs $2 and each banana costs $0.40. He bought 5 times as
many bananas as apples. By following the steps below, determine the number of
apples, 2, and the number of bananas, y, that Nolan bought.

Answers

Answer 1

    To solve this problem form the system of equations first, then solve them to find the values of the variables.

  Nolan bought 2 apples and 10 bananas.

It's given that,

Nolan and his children bought fruits (Apples and bananas) worth $8.Cost of each apple and bananas are $2 and $0.40 respectively.

Let the number of bananas he bought = y

And the number of apples = x

Therefore, cost of the apples =$2x

And the cost of bananas = $0.40y

Total cost of 'x' apples and 'y' bananas = $(2x + 0.40y)

Equation representing the total cost of fruits will be,

(2x + 0.40y) = 8

10(2x + 0.40y) = 10(8)

20x + 4y = 80

5x + y = 20 --------(1)

If he bought 5 times as many bananas as apples,

y = 5x ------(2)

Substitute the value of y from equation (2) to equation (1),

5x + 5x = 20

10x = 20

x = 2

Substitute the value of 'x' in equation (2)

y = 5(2)

y = 10

               Therefore, Nolan bought 2 apples and 10 bananas.

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Related Questions

The annual profits for a company are given in the following table, where x represents
the number of years since 1997, and y represents the profit in thousands of dollars.
Write the linear regression equation that represents this set of data, rounding all
coefficients to the nearest tenth. Using this equation, find the projected profit (in
thousands of dollars) for 2008, rounded to the nearest thousand dollars.
Profits (y)
Years since 1997 (1) Gin thotsands of dollars)
0
66
1
108
2.
89
3
157
4
178
5
199

Answers

The answer is A


Thank you for the info

Confuse with this problem

Answers

Answer:

[tex]6 \frac{2}{3} [/tex] (second option)

Step-by-step explanation:

attached

write the number 7.1 x 10⁻⁵ in standard form

Answers

Answer:

Step-by-step explanation:

10^-5 is .00001, If it was 10^5 it would be 100,000, but since it is negative, you will have to "flip" it around. 0.1 is 10^-1 10^-2 is .01, 10^-3 is .001 etc...

Now .00001 * 7.1 is just .000071

:) hope this helped.

Answer:

.000071

Step-by-step explanation:

7.1 x 10⁻⁵ = 00007.1 = .000071

HELP PLS!!! You invested ​$25,000 in two accounts paying 7% and 8% annual​ interest, respectively. If the total interest earned for the year was $1900, how much was invested at each​ rate?

Answers

All u have to do is divide the answer is %3

235Px=235P(x-1)*(3x)


Answers

Answer:

2456

Step-by-step explanation:

29. Flora is mailing 400 pairs of plastic sunglasses that each weighs 0.08 kg. How much will the entire shipment of sunglasses weigh?​

Answers

Answer:

32kg

Step-by-step explanation:

0.08 x 400 = 32

hope this helped!

Answer:

Step-by-step explanation:

1 sunglass weighs 0.08 grams

400 sunglasses weight x

x = 400 * 08

x = 32 kg

one question to get 20 points

convert 4 5/7 a mixed number to imper fraction

Answers

Step-by-step explanation:

[tex]4 \frac{5}{7} [/tex]

[tex] \sf \: \dfrac{4 \times 7 + 5}{7} [/tex]

[tex] \sf \: \dfrac{28 + 5}{7} [/tex]

[tex] \dfrac{33}{7} [/tex]

A triangle has side lengths of (7n-2p)(7n−2p) centimeters, (2n+4q)(2n+4q) centimeters, and (q-5p)(q−5p) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?

Answers

Answer:

(7n-2p)(7n−2p) + (2n+4q)(2n+4q) + (q-5p)(q−5p) OR

53n² +29p² +17q² -14np +8nq -10pq

Step-by-step explanation:

The perimeter is found by adding all the side lengths.

P = (7n-2p)(7n−2p) + (2n+4q)(2n+4q) + (q-5p)(q−5p)

We know that (a+b)(a+b) = (a+b)², and (a-b)(a-b) = (a-b)²

P = (7n-2p)² + (2n+4q)² +  (q-5p)²

We know that (a+b)² = a²+b²+2ab, and (a-b)² = a²+b²-2ab

P = 49n² + 4p² - 14np +4n² +16q² + 8nq ++25p² -10pq

Combine like terms

P = 53n² +29p² +17q² -14np +8nq -10pq

What is the range of (0,1),(1,-1),(2,-1)

Answers

Answer:

(1,-1)

Step-by-step explanation:

plzz someones help me plz I will mark brainlest diameter is 1 3/4​

Answers

Answer:

The area of the circle is 2.41 in^2

Step-by-step explanation:

You are given the diameter, 1 3/4. This is a mixed fraction, so let's convert that into decimal.

1 3/4 = 7/4

7/4 = 1.74

Now, let's use the area of circle formula.

A = 1/4πd^2

A = 1/4 * π * 1.75^2

A ≈ 2.40528

Let's round the area to the nearest hundredth.

2.40528 = 2.41

find the mean of 31.6, 34.5, 29.8, 12,1

Answers

Answer:

27

Step-by-step explanation:

To figure out the mean of a group of numbers, one must add the numbers together and divide by the number of terms.

31.6 + 34.5 + 29.8 + 12.1 = 108

There are four terms in the group of numbers.

108 / 4 = 27

Therefore, the mean is 27.

Stephanie is painting her room wich is 14' long by 9' wide and each wall is 10' tall. How many square feet of paint will she use? help.​

Answers

Answer:

460 sq ft

Step-by-step explanation:

Assuming the room is a perfect rectangle and not accounting for doors and windows:

14 ft x 10 ft = 140 sq ft X 2 = 280 sq ft

9 ft x 10 ft = 90 sq ft x 2 = 180 sq ft

280 sq ft + 180 sq ft = 460 sq ft

Which statement compares the two numbers correctly?

Six hundred seventy-two thousandths ________ 0.8

Six hundred seventy-two thousandths < 0.8
0.8 < six hundred seventy-two thousandths
Six hundred seventy-two thousandths = 0.8
Six hundred seventy-two thousandths > 0.8

Answers

Answer:

A

Step-by-step explanation:

Six hundred seventy-two thousandths < 0.8

I’ll make you as brainliest do these to problems show ya work !

Answers

Answer:

1. 7

2. 13

Step-by-step explanation:

1. x = 2 and y = 3

y^2 - x

= 3^2 - 2

= 9 - 2

= 7

2. x = 5 and z = 4

z + x + z

= 4 + 5 + 4

= 9 + 4

= 13

Answer:

7 for the first question and 13 for the second one

You have a lead ball with a mass of 360 g. The density of lead is 15 g/cm3. What is the volume of the ball?

Answers

Recall that density = mass / volume.

Let's plug our known values into the equation.

15 g/cm^3 = 360g / volume

First, let's multiply both sides by volume

Volume * 15 g/cm^3 = 360g

Divide both sides by 15 g/cm^3

Volume = 24 cm^3

Density is defined as the mass per unit of volume. The volume of the ball is 24 cm³.

What is density?

Density is defined as the mass per unit of volume. It is given by the formula,

Density = Mass / Volume

Given that You have a lead ball with a mass of 360 g. The density of lead is 15 g/cm³.

Now, since density is the ratio of mass and volume. Therefore, we can write the volume of the ball as,

Density = Mass / Volume

Volume = Mass / Density

Volume of the ball = 360g / 15g/cm³

                               = 24 cm³

Hence, the volume of the ball is 24 cm³.

Learn more about Density here:

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#SPJ2

3=g/-4-5 ((for 25 points))

Answers

Answer:

3=g/-4  -5

3+5=g/-4

8= g/-4

8x(-4)=g

g=-32

Step-by-step explanation:

help with this plzzzz

Answers

Answer:

point C

Step-by-step explanation:

both planes include point C so that is where they intersect

Answer:

Point C

Step-by-step explanation:

As you can see in the picture below, Point C is where both planes intersect. Point C is what both planes have in common.

Write -3 2/5 as a decimal number

Answers

-3 2/5 is -3.4 as a decimal number

Answer: -3.4

Step-by-step explanation:

[tex]-3\frac{2}{5} \\-\frac{3*5+2}{5} \\-\frac{15+2}{5} \\-\frac{17}{5} \\= -3.4[/tex]

70 POINTS!!! SOLVE TO EARN!!!

Answers

Anne: 57
Josh: 75
Claire: 25

Add them all up and you get 157

Answer:

37, 60, 30

Step-by-step explanation:

Ann - a, Josh - j, Claire - c

a = j + 7j = 2ca + j + c = 157

Substitute a and j into last equation and solve for c:

(j + 7) + 2c + c = 1572c + 7 + 3c = 1575c = 150c = 30

Find a and j:

a = 30 + 7 = 37j = *30 = 60

g(x)=
Write a relationship for a function whose g(x) values are 2 more than five times the principal square root of x.

Answers

Lets do

2 more than five times the square root of x

[tex]\\ \sf\longmapsto g(x)=5\sqrt{x}+2[/tex]

Lets take an example

[tex]\\ \sf\longmapsto g(4)=5\sqrt{4}+2[/tex]

[tex]\\ \sf\longmapsto 5(2)+2[/tex]

[tex]\\ \sf\longmapsto 10+2[/tex]

[tex]\\ \sf\longmapsto 12[/tex]

“2 more than” means “add 2” to something.

“5 times” means “multiply by 5”.

The principal square root just means the regular square root.

Putting that together, you have

g(x) = 5 * sqrt(x) + 2

What is -2/3 - (-1/2)

Answers

Answer: -1/6

Step-by-step explanation: Start by changing the minus a negative

to plus a positive, so we have -2/3 + 1/2.

Since our denominators of 3 and 2 have no factors in common,

our least common denominator is 3 · 2 or 6.

In order to get a denominator of 6 in each fraction,

we multiply top  and bottom of the first fraction by 2

and top and bottom of the second fraction by 3.

That gives us -4/6 + 3/6 which simplifies to -1/6.

AnswerAnswer:

Step-by-step explanation:

-0.16666666666

Answer the following.
7−5+2=−2−2(1−3)

Answers

Answer:

4=2

Step-by-step explanation:

Answer: 4≠2

Step-by-step explanation:

7-5+2=-2-2(1-3)

7-5+2=-2-2(-2)

7-5+2=-2+4

4≠2

Determine the domain of the following function:

Answers

Step-by-step explanation:

2x-18 ≥ 0

2x ≥ 18

x ≥ 9

and

3x -27 ≠ 0

3x ≠ 27

x ≠ 9

so, the answer is <9 ; +oo >

Which of the following equations has exactly one solution?
2x + 3 – 6x=-4x – 3
3x + 12 – 9x = -11x + 12 + 5x
6x +9 - 8x = 2x + 9
7x + 3 – 8= 13x + 5 – 6x

Answers

Answer:

I belive I might be c not completely sure but pretty positive

plz help been stuck for awhile

Answers

S is not a point on the diagram

Need helpppppppppppppp

Answers

Answer:

35.24, hope that helps :)

Answer:

38.85 percent

Step-by-step explanation:

hope this helps you

Answer and explanation please?​

Answers

Answer:

c= 13

Step-by-step explanation:

The complementary angles add up to 90° so we use some basic algebra to solve this question. like in the step by step explaination I have provided on paper

Select the pie chart that accurately represents Sabrina's variable expenses for the month of June.
Sabrina compiled a list of her variable expenses for the month of June to analyze her spending habits.
June
$327.32
Expense
groceries
fuel and transportation
costs
$103.15
$26.15
clothing
dining out
$122.56
entertainment
$78.16

Answers

Answer:

BOTTOM RIGHT CHART, JUST TOOK THE TEST

Step-by-step explanation:

PLATO

There are 4 fewer markers than crayons . There are 6 markers . How many cranyons are there

Answers

There’s ten crayons. Because the markers have 4 less you just add 4 to the number of markers (6). 6+4=10

Find the average of the list of numbers.
- 13, – 25, – 24, – 14



Answers

Answer:

-19

Step-by-step explanation:

-13-25-24-14

= -76/4

= -19

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