George is bringing granola bars and apples for his classmates at school. Apples cost $0.75 each, and granola bars cost $0.15 each. George will bring 60 total items to school and spend a total of $21.00. Which system of equations best represents how to find the number of apples, A, and the number of granola bars, G

Answers

Answer 1

Answer:

60

Step-by-step explanation:

Answer 2

The system of equation to find the number of apples and number of granola bars is: [0.75x + (9 - 0.15x)] = 21.00

The number of apples is 20 and the number of granola bars is 40.

What is a linear equation?

"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, 'x' is a variable, 'A' is a coefficient and 'B' is constant."

George will bring 60 total items to school

Let, George will bring 'x' apples.

Therefore, he will bring (60 - x) granola bars.

Given, apples cost $0.75 each, and granola bars cost $0.15 each.

Therefore, cost of all apples is $0.75x.

Cost of all granola bars is:

= $(60 - x) × 0.15

= $(9 - 0.15x)

The system of equation to find the number of apples and number of granola bars is: [0.75x + (9 - 0.15x)] = 21.00

Now, [0.75x + (9 - 0.15x)] = 21.00

⇒ [0.75x - 0.15x] = 21.00 - 9

⇒ 0.6x = 12.00

⇒ x = (12.00 ÷ 0.6)

⇒ x = 20

Therefore, the number of apples George will bring to school is 20.

Now, the number of granola bars George will bring to school is (60 - 20) = 40.

Learn more about linear equation here: https://brainly.com/question/14485109

#SPJ2


Related Questions

1011+1111=in binary answer, anyone that answer me first I will follow u​

Answers

Answer:

Step-by-step explanation:

answer is   [tex](11010)_{2}[/tex]

Can someone help I don’t understand the question

Answers

Answer:

36x

Step-by-step explanation:

OF= 6x (given radius of circle)

OB=OF+FB

= 6x +6x(given OF=FB)

= 12x

Angle D= angle B and angle O= 60°( given arc EF is 60°)

D + B + O= 180° ( sum of angles in a triangle)

x + x + 60= 180° ( let the value of remaining angles be x and D= B)

2x= 180 -60

x = 120/2

x= 60°

now, triangle DOB is a equilateral triangle because all angles are equal.

so, OB=DB=OD= 12x ( all sides are equal in equilateral triangle)

so,

perimeter of DOB= OB+DB+OD

= 12x+12x+12x

= 36x

follow me if this was helpful

(2) Find the geometric mean. Approximate your answers to the approxi-
mate to nearest tenth.
4.
5 and 20
5. 3 and 12
7.
3.5 and 20
6.
8 and 13
9. į and
8.
1.5 and 84
M

Answers

Answer:

Geometric mean is the nth root of the product of n numbers

For two numbers it's the square root

for three numbers it's the cube root

for 4 numbers it's the fourth root

etc.

--------------------------

5 and 20

m = √(5 * 20) =

m = √100

m = 10

3 and 12

m = √(3 * 12)

m = √36

m = 6

do the rest the same way

What is the following sum?
4.5+2V5
O 6.10
O 8/10
O ENG
O ONE

Answers

Answer:

[tex]6 \sqrt{5} [/tex]

Step-by-step explanation:

Take out Square root 5 as common and then add numbers

[tex]4 \sqrt{5} + 2 \sqrt{5} \\ 6 \sqrt{5} [/tex]

An object is thrown from a platform. Its height (in meters), x seconds after launch, is modeled by h (x) = -5 (x + 1) (x -9)

Answers

Answer:

Step-by-step explanation:

This is already factored for us, which is really nice, so now all we need to do is apply the Zero Product Property to the sets of parenthesis and solve for x, which will give us the 2 times that the object is on the ground.

x + 1 = 0 so

x = -1

x - 9 = 0 so

x = 9

We all know that time cannot ever be negative, so the time that the object is on the ground is 9 seconds after it's launched (which was from an initial height of 45 meters).

A rectangular vegetable farm measures 45 m by 15 m. It has also a path of 1m wide. What is the area of the path?​

Answers

[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]

[tex]\huge\underline{\sf{\red{Problem:}}}[/tex]

A rectangular vegetable farm measures 45 m by 15 m. It has also a path of 1m wide. What is the area of the path?

[tex]\underline{\sf{\red{Formula\:for\: area\: of \:rectangular\: form:}}}[/tex]

[tex]\quad\quad\quad\quad\boxed{\sf{\red{➢} \: \sf{a=l×b}} }[/tex]

[tex]\underline{\sf{\red{Given:}}}[/tex]

[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{Length\:of\:rectangular\:form = 45m} }[/tex]

[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{Breadth\:of\:rectangular\:form = 15m} }[/tex]

[tex]\underline{\sf{\red{Solution:}}}[/tex]

[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{a=l×b} }[/tex]

[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{a=45m×15m} }[/tex]

[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{a=\boxed{\sf{{675m}^{2}}}} }[/tex]

[tex]\underline{\sf{\red{For\:rectangular\: form\:with\:path:}}}[/tex]

[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{Length\:of\:rectangular\:form = 45m+2=47m} }[/tex]

[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{Breadth\:of\:rectangular\:form = 15m+2=17m} }[/tex]

[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{a=l×b} }[/tex]

[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{a=47m×17m} }[/tex]

[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{a=\boxed{\sf{{799m}^{2}}}} }[/tex]

[tex]\huge\underline{\sf{\red{Area\:of\:path:}}}[/tex]

[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{a={799m}^{2}-{675m}^{2}} }[/tex]

[tex]\quad\quad\quad\quad\boxed{\sf{\red{➢} \: \sf{a={124m}^{2}} }}[/tex]

[tex]\huge\underline{\sf{\red{Answer:}}}[/tex]

[tex]\huge\quad\quad\underline{\boxed{\sf{\red{a={124m}^{2}} }}}[/tex]

[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]

[tex]\sf{\red{︎✰}ShineBrighter\red{︎✰}}[/tex]

[tex]\sf{✍︎ C.Rose\red{❀}}[/tex]

ฅ^•ﻌ•^ฅ

What is the range of the given function?

{(–2, 0), (–4, –3), (2, –9), (0, 5), (–5, 7)}

A {x | x = –5, –4, –2, 0, 2}
B {y | y = –9, –3, 0, 5, 7}
C {x | x = –9, –5, –4, –3, –2, 0, 2, 5, 7}
D {y | y = –9, –5, –4, –3, –2, 0, 2, 5, 7}

Answers

[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]

[tex]\huge\underline{\sf{\red{Problem:}}}[/tex]

What is the range of the given function?(–2, 0), (–4, –3), (2, –9), (0, 5), (–5, 7)

[tex]\huge\underline{\sf{\red{Choices:}}}[/tex]

A {x | x = –5, –4, –2, 0, 2}

B {y | y = –9, –3, 0, 5, 7}

C {x | x = –9,–5,–4,–3,–2,0,2,5,7}

D {y | y = –9,–5,–4,–3,–2,0,2,5,7}

[tex]\huge\underline{\sf{\red{Answer:}}}[/tex]

[tex] \quad \quad \underline{ \boxed{\sf{ \red{ B.)\: {y | y = –9, –3, 0, 5, 7} }} }}[/tex]

What is range of a function?The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain.

The definition means:

The range is the resulting y-values we get after substituting all the possible x-values.

How to find the range?

The range of a function is the spread of possible y-values (minimum y-value to maximum y-value)Substitute different x-values into the expression for y to see what is happening. (Ask yourself: Is y always positive? Always negative? Or maybe not equal to certain values?)Make sure you look for minimum and maximum values of y.

[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]

#CarryOnLearning

[tex]\sf{\red{✍︎ C.Rose❀}}[/tex]

Hi can anyone help me with this Q ? It’s for my final. I would appreciate it a lot !!
-
The angle of elevation from a boat to the top of a 125ft hotel is 22°
How far is the boat from the base of the hotel ? ( round to the nearest TENTH )

Answers

Answer: B

Step-by-step explanation:

Bc said so

Of the five horses in a race, Alfie finished 3 lengths ahead of Charlie, flo finished 5 lengths ahead of dolly, Alfie finished 4 lengths behind Bobby and dolly finished 4 lengths behind Alfie. What is the finishing position of flo

Answers

Answer:

With the information provided, we have to assume it was Rob, in the order Rob, Henry, Charles, Dale.

However, we don't know if there were other people in the race that were not mentioned, so we can only say he came in first of those four people.

i can't do this question can someone help me

Answers

Answer:

A=-3

Step-by-step explanation:

To begin, a parabola of form a(x-h)² +k opens upward when a is positive. Similarly, when a is negative, the parabola opens downward. Therefore, a must be negative here, as our expression for the parabola is a(x-0)²+0 = ax², with (0,0) being (h,k) and the vertex.

To determine whether a should be -3 or -0.6, we can think about the values on the graph that correspond to these values. A narrower graph would have a steeper slope. A narrower graph would have a large change in y with little change in x. Therefore, as ax² = y is our equation, and when a=-3, y changes more rapidly relative to when a = -0.6, A=-3 is our answer

Find the distance between two points (0, 3) and (-1,3).

Answers

Answer:

5

Step-by-step explanation: i used a calculator and it said 5.099 but just round it up to 5

Answer:

1

Step-by-step explanation:

even if it is going back-wards, it is still one, think of it as absolute value

also again, if brainly tries to delete this answer, this community really is going down the dump

Please help me for this problem.

Answers

Answer:

B: 1 and 3

Step-by-step explanation:

corect me if im wrong hope it helps aki brainliest thx:)

can someone help me with this please

Answers

Answer:

(3) is the right answer because 360° - 308° = 52°

Someone please help me

Answers

Mark Brainliest Please

Answer : 1:9

volume = h(pi)r^2 = height times pi times radius squared

volume of cylinder A is 3pi
volume of cylinder B is 3pi(3)^2 = 27pi

raito of volume A to volume B is 3pi/27pi = 1/9

the question is on the image​

Answers

Answer:

70

Step-by-step explanation:

the fraction 7/10 turns into 70% which means 70 out of 100 tickets were sold.

Answer:

70 tickets sold

Step-by-step explanation:

Multiply the number of tickets by the fraction of tickets sold

100 *7/10

Rewriting

100/10 * 7

10*7

70

2. Mr. Theorem writes the expression 6^2/(2m) on the board. What is the value of this expression when the value of m = 3?

Answers

Answer:

6

Step-by-step explanation:

6^2/(2m)

Let m = 3

6^2/(2*3)

6^2 / 6

36/6

6

Answer:

6

Step-by-step explanation:

(6)² / 2m

36 / 2 × (3 ) ( given :- m = 3)

36 / 6

6

A 28 foot ladder leans up against a building and reaches the base of a window that is 20 feet high. How far is the base of the ladder from the base of the building? Round your answer to the nearest whole foot

A 16 feet

B 20 feet

C 24 feet

D 34 feet

Answers

Answer:

20 feet

Step-by-step explanation:

The distance between base of the ladder from the base of the building is given by option B) 20 feet.

Use the Pythagorean theorem to solve this problem.

The Pythagorean theorem states that in a right-angled triangle,

The square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

Length of the ladder = 28 foot

Here, the ladder forms the hypotenuse, and the height of the window (20 feet)

And the distance from the base of the ladder to the base of the building (let's call it x feet) are the other two sides.

So, we have:

Ladder² = Height² + Distance²

28² = 20² + x²

Now, let's solve for x:

x² = 28²- 20²

x² = 784 - 400

x² = 384

Now, take the square root of both sides to find x:

x = √384

x ≈ 19.6 feet

Rounding to the nearest whole foot, the distance from the base of the ladder to the base of the building is 20 feet.

Therefore, the distance between base of the ladder and building is equal to option B) 20 feet.

learn more about distance here

brainly.com/question/15256256

#SPJ4

f(x)=x^2-5 find f(7)

Answers

Answer:

44

Step-by-step explanation:

substitute the 7 into the equation for x

f(x) = [tex]x^{2}[/tex] - 5

f(7)  = [tex]7^{2}[/tex] - 5

f(7) = 49 - 5

f(7) = 44

Answer:

f(7) = 44

Step-by-step explanation:

To evaluate the function f(x)=x^2-5 at x = 7, replace each instance of 'x' in this function by 7:

f(7) = 7^2 - 5 = 49 - 5 = 44

So:  f(7) = 44

i have no idea what to do can someone pls help me quick

Answers

The correct answer is D. I found this by plugging in zero for X into each equation until I got 1/4 for a Y
The correct answer is d

A bike frame has a top tube length of 20.75 inches, a seat tube length of 8.9 inches, and a seat tube angle of 71 degrees.
a. Find the approximate length of the down tube.
b. Find the angle between the seat tube and down tube

Answers

A hope I help you 667xccc

Put the following equation of a line into slope-intercept form, simplifying al
fractions.
2y - 3x = 18

Answers

Answer:

Step-by-step explanation:

Simplifying

2y + -3x = 18

Reorder the terms:

-3x + 2y = 18

Solving

-3x + 2y = 18

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2y' to each side of the equation.

-3x + 2y + -2y = 18 + -2y

Combine like terms: 2y + -2y = 0

-3x + 0 = 18 + -2y

-3x = 18 + -2y

Divide each side by '-3'.

x = -6 + 0.6666666667y

Simplifying

x = -6 + 0.6666666667y

Can somebody help plz help me with this?

Answers

Answer:

N-8

Step-by-step explanation:

use the function below to find f(3)

[tex]f(x) = \frac{1}{3} \times {4}^{x} [/tex]

Answers

Answer:

f(3) = [tex]\frac{64}{3}[/tex]

Step-by-step explanation

f(3) = [tex]\frac{1}{3}[/tex] x [tex]4^{3}[/tex]

f(3) = [tex]\frac{1}{3}[/tex] x 64

f(3) = [tex]\frac{64}{3}[/tex]

need help!! question is on the picture.

Answers

Answer:

√d=4×5

√d=20

square both sides

√d²=20²

the square cancels the square root

d=400

in an isosceles triangle KLM, ∠K is congruent to ∠M and m ∠M=55°. find the m ∠L

Answers

Answer:

70°

Step-by-step explanation:

m ∠L = 180-(55+55)

= 180-110

=70°

In the figure, .

∠AEB and ∠CED are congruent
.

∠AEC and ∠
are congruent by the Vertical Angles Theorem.

Answers

Answer:

∠AEC ≅ ∠BED by vertical angles theorem

Answer:

Answer:

∠AEC ≅ ∠BED by vertical angles theorem

Step-by-step explanation:

Multiply the polynomials.
(8x2 + 6x + 8)(6x-5)
A. 48x3 - 4x2 + 18x + 40
B. 48x3 - 76x2 + 18% - 40
C. 48x3 - 4x2 + 78x - 40
D. 48x3 - 4x2 + 18x- 40

Answers

I’m pretty sure that the answer is D

Which expression correctly represents the perimeter of a rectangle that is 12 centimeters long and 7 centimeters wide?

Answers

Answer:

The expression for the perimeter of the rectangle is:

P = 2*(12 cm) + 2*(7 cm)

And the perimeter is:

P = 38cm

Step-by-step explanation:

We know that for a rectangle of length L and width W, the perimeter is given by:

P = 2*L + 2*W

So, if we have a rectangle that is 12 cm long,  we have L = 12cm

and if the rectangle is 7cm wide, we have W = 7cm

Now we can replace these in the perimeter equation to get:

P = 2*(12 cm) + 2*(7 cm)

P = 24cm + 14cm

P = 38cm

I need help in this zzzzzzz

Answers

Answer:

[tex]7[/tex]

Solution:

This is a linear function. This means means that r is our rate of change.

To find r recal following formula

[tex]r=\frac{\Delta y}{\Delta x} = \frac{y_2-y_1}{x_2-x_1}[/tex]

Since this is a linear function we can choose any two points. I will choose the first two for simplicity

[tex]\Displaystyle \therefore r = \frac{42-14}{6-2}=\frac{28}{4}=7[/tex]

Question 5 (Essay Worth 6 points) (06 02Mr. Momnis is going to save money and replace his sailboat's mainsail himself. He must determine the area of the mainsail in order to buy the correct amount of material. Calculate the area of the parallelogram to determine how much material should be purchased. Be sure to explain how to decompose this shape into rectangles and triangles. Describe their dimensions and show your work 20 2 X Source C BI V S *, * • Format 1?​

Answers

Answer: area of triangle = 1/2 base*height  = 1/2  * 2 x 10   = 10 ft2   each

then you are left with a rectangle   13 ft x 10 ft = 130 ft^2

130 + 10 + 10 = 150 ft2

Step-by-step explanation: Hope it helps

Other Questions
unequal length of day and nightRotation or Revolution Whats the difference between rocks, minerals and crystals? What advice would you give someone who thought s/he might have a STI? Complete what he says with the correct forms of the adjectives from the list. Not all words will be used, but do not repeat one that you use:aburridocreativopacificosensiblealegreImaginativopositivo Mis amigos y yo somos (1)pasamos tiempo hablando o mirando peliculas. Salimos tambin, pero nos gusta ir a comer o a caminar en un parque, pero no te equivoques (make no mistake) no somos nada (2) Por ejemplo, mi amiga Natalia es artista y es muy (3)Le gusta pintar murales, y a veces ayudamos. Mi amigo Bryan es la persona ms (5)que conozco. Nunca, literalmente nunca, est de mal humor (mood); le gusta hacer felices a todas las personas. Tenemos una amiga que es muy (6) y a veces causa problemas porque es fcil ofenderla, pero en general todos somos (7); es decir, optimistas porque pensamos que el vaso est medio lleno (the glass is half full) Name this phase of mitosis *spindle disappearschromosomesstart todecondensenuclearmembranere-forms-nucleolusreappearstelophaseO anaphaseO metaphaseO prophase The ratio of cups mixed nuts to cups of granola is The term agility as a physical fitness skillis, is best described as the ability to.....A.Keep an upright posture while standing or moving effectively B.Combine the use of the senses and body parts C.Quickly change and control body position and movementsD.Use strength with speed A farmer finds there is a linear relationship between the number of bean stalks, n, she plants and the yield, y, each plant produces (in ounces). When she plants 30 stalks, each plant yields 30 oz of beans. When she plants 34 stalks, each plant produces 28 oz of beans. Find an equation that gives the yield y when n stalks are planted. A die is rolled twice. What is the probability of showing a 3 on the first roll and an even number on the second roll? What is the greatest common factor of 35 and 45? How do the process of DNA replication and the laws of inheritance help cells and individuals pass on theirtraits? Find the volume of a sphere with a radius of 9 inches. Use 3.14 for .Round your answer to the nearest hundredth. The sum of the first eight terms in a Geometric Series is 19680 and the sum of the first four terms is 240. A) Find the first term. B) Find the common ratio. C) Justify your answers by showing steps that demonstrates your answers generate S8=19680 and S4=240. What is the equation of the line that is perpendicular to the given line and passes through the point (5, 3)? A.) 4x - 5y = 5 B.) 5x + 4y = 37 C.) 4x + 5y = 5 D.) 5x - 4y = 8 What is meant by Vetebral Column? Matilda and Lorraine work in the mail room of a large company sorting letters. Matilda has already sorted 50 letters and continues sorting at a rate of 50 letters per hour. Lorraine has already sorted 80 letters and continues sorting at a rate of 40 letters per hour.Which function can Matilda and Lorraine use to determine the total number of letters they have sorted after x hours? How many letters will they have sorted after 6 hours?A. The function that describes the total number of letters sorted by Matilda and Lorraine in x hours is given by f(x) = 100x + 120. Thus, they will have sorted 720 letters in 6 hours.B. The function that describes the total number of letters sorted by Matilda and Lorraine in x hours is given by f(x) = 90x + 130. Thus, they will have sorted 670 letters in 6 hours.C. The function that describes the total number of letters sorted by Matilda and Lorraine in x hours is given by f(x) = 130x + 90. Thus, they will have sorted 870 letters in 6 hours.D. The function that describes the total number of letters sorted by Matilda and Lorraine in x hours is given by f(x) = 90x + 30. Thus, they will have sorted 570 letters in 6 hours. A rectangle is 6 centimetres longer than its widthIf the perimeter of the rectangle is 28 centimetres, form an equationinvolving x and solving it to find the widthof the rectangle State and explain briefly 3 agent of food spoilage WILL MARK AS BRAINLIEST. PLS HELPRead the passage below and write an essay on the following topicWhat programmes can schools organise to develop strength of character and resilience in our students? A ball is thrown straight up into the air with a speed of 13 m/s. If the ball hasa mass of 0.25 kg, how high does the ball go? Acceleration due to gravity is g = 9.8 m/s2A. 9.2 mB. 8.6 mC. 10.4 mD. 9.9 m