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

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Related Questions

Alex's dog weighs 5 pounds. About how
many grams does Alex's dog weigh since
1 pound is equivalent to about 454 grams?

Answers

Answer:

2270 grams

Step-by-step explanation:

If the dog is 5 pounds and 1 pound=454 grams, do 454x5=2270

Find the total surface area of this square based pyramid. 10 in 5 in [ ? ]in?​

Answers

Answer:

The answer is "[tex]125 \ in^2[/tex]"

Step-by-step explanation:

There is a base of five on every triangular face and a height of ten in. The field of the formulation

[tex]A = (\frac{1}{2})bh \\\\A = (\frac{1}{2} \times 5\ in \times 10\ in)[/tex]

   [tex]= \frac{50 }{2} \ in^2\\\\=25 \ in^2\\\\[/tex]

The base of the square has a formula area

 [tex]A = s^2 = (5\ in)^2 = 25 \ in^2[/tex]

The total area consists of the sum of the four-face area and the base: [tex]total \ \ area = 4 \times \text{(area of 1 face) + (area of base)}[/tex]

                   [tex]= 4 \times (25\ in^2 ) + 25 \ in^2 \\\\= 125 \ in^2[/tex]


List all the even numbers less than 50,
then find the probability that a number
selected at random:
a) is a multiple of 5.
b) is between 10 and 30.
c) is the number 12.
d) has its square less than 40.​

Answers

Step-by-step explanation:

Even numbers less than 50={2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48}

Total=24

Multiples of 5={10,20,30,40}

Probability (multiple of 5)=4/24

=1/6

P(between 10 and 30)=12,14,16, 18, 20, 22, 24, 26, 28

Total=9

Probability=9/24

=3/8

Probability is number 12

=1/24

Probability it has square less than 40

=(4,36)

Two numbers

Probability=2/24

=1/12

Alaina has $28 in her account .she wants to purchase a pair of shoes that costs $45 .if alaina makes the purchase which integer will represent the amount of money in alaina account?

Answers

--Answer--

negative integer

--Explanation--

28 - 45 = -17; the number subtracting is greater than the original number.

I NEED HELPPP is it 112 or 56 ?????

Answers

The answer is 56!
Please mark brainliest

Which equation represents the graphed function?
y = –2x + 3
y = 2x + 3
y = x + 3
y = –x + 3
Answer B

Answers

Is answer B the answers to this question
The answer to this equation is B

what is the mass of an object that has a density of 0.7g/cm^3 and a volume of 8cm^3? (The density of an object has the equation d= m/v)

Answers

Mass=5.6
Find this by plugging your values into the density formula and solving for M.

1c.) Mr. Armstrong earns $6.45 per hour. He is paid $7.95 for each hour he works over 40 hours in a week. (a)How much is he paid for a 43 hour week? (b)How many hours did he work if he received $313.65? SHOW ALL WORKING OUT *​

Answers

A) I multiplied $6.45 x 40 which gave me 258. Then multiplied $7.95 x 3 which gave me $23.85. So then I added my answers and got $381.85

harry is a shopkeeper, every month he spends $2000 for running the shop. he sells all the goods at 25% more than its. purchase price. what should be the total sales made by him in a month so that hè can earn a profit of $3000 every month.


A. $12000
B. $15000
C. $20000
D. $25000​

Answers

Answer:

D i think

Step-by-step explanation:

its just a guess

Which of the following is the best use for the sign chart when graphing
rational functions?
O A. To determine if the graph of F(x) is straight or curved
O B. To determine the slope for the graph of F(x)
O C. To determine where the vertical asymptotes are for the graph of
F(x)
O
D. To determine where the maximum is for the graph of F(x)
SUBMIT

Answers

To determine where the maximum is for the graph of F(x)

Please help me with questions 6) ii), iii) and d). I’ve been trying for so long.

Answers

Answer:

5,000

Step-by-step explanation:

jose bought "n" packs of pencils. Each pack has 12 pencils. Write an equation to represent the total number of pencils "p" that josé bought.

Answers

Answer:

nx12=p

Step-by-step explanation:

So every pack has 12 pencils. You multiply the packs of pencils that José bought with how much pencils per pack. Since José bought "n" packs of pencils, the equation is nx12. But the answer is also unknown since we don't know how much packs José bought, so the answer is "p", or the total number of pencils José bought.

The baker at The Bake Shop makes 24 muffins in 1 hour. How many muffins will the baker make in 5 hours?

Math item stem image
CLEAR SUBMIT

97 muffins


100 muffins


101 muffins


120 muffins

Answers

Answer:

120 muffins

Step-by-step explanation:

If The Bake Shop makes 24 muffins in one hour and we need to find out how many muffins will the bake make in five hours, we need to multiply 24 times 5 which would equal 120 muffins in five hours.

Hope this is helpful

Find the surface area of the cone in terms of pi
17 cm height
3 cm radius
Not drawn to scale

Answers

Answer:

[tex]60\pi\:\mathrm{cm^2}[/tex]

Step-by-step explanation:

The total surface area of a cone with radius [tex]r[/tex] and slant height [tex]\ell[/tex] is equal to [tex]SA=\pi r\ell+r^2\pi[/tex].

What we're given:

[tex]r[/tex] of 3 cm[tex]\ell[/tex] of 17 cm

Substituting given values, we get:

[tex]SA=3\cdot 17\cdot \pi+3^2\pi,\\SA=51\pi+9\pi,\\SA=\boxed{60\pi\:\mathrm{cm^2}}[/tex]


If the area is 30cm and the length is 13,23 cm., what will be the width in
cm?​

Answers

Answer:

ok so the standard equation for finding the area of a equation is BH=A

so if the lenth is 1323 and the width is unknown other wise X

we can make an equation

1323X=30

so we divide 30 by 1323 which is

X=0.02267573696 so

The width is about 0.023 cm

Your Welcome

BIFFY OUT!!!

WILL MARK BRAINLIST!!​

Answers

Answer:

24 units

Step-by-step explanation:

Look at the coordinate plane. First start with the bottom side (LN). The line goes from -3 to 9. This means that the line is 12 units long. Now, look at the other sides. MN goes from 3 to 9, therefore, the line is 6 units long. Lastly, look at ML— -3 to 3, therefore, the line is 6 units long. Add them all up, (12+6+6) and it equals 24 units.

24 units

////////////

change for the interval from x = 8 to x = 9.

A. 19,683
B. 13,122 O
C. 3
D. 6561​

Answers

Answer:

its b

Step-by-step explanation:

nahazbzbzhzhzhzhshhs

Answer: B) 13,122

====================================================

Explanation:

We keep multiplying each rate of change by 3

The rate of change from 6 to 7 is 486*3 = 1,458The rate of change from 7 to 8 is 1,458*3 = 4,374The rate of change from 8 to 9 is 4,374*3 = 13,122 which points us to choice B

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

Another way to find the answer is to notice we have a geometric sequence going on here. The first term is a = 2 and the common ratio is r = 3.

The nth term is a(r)^(n-1) which becomes 2(3)^(n-1)

Plugging in n = 1 leads to the result 2. If you plug in n = 2, then you should get 6, and so on.

Plug in n = 9 and we get 2(3)^(9-1) = 13,122

Solve the following system graphically.

y < - x
y =< x - 2

Upload one solution of the system and your graph

Answers

Answer:

a solution of the system is the point that satisfies both the equations

(1, -1) is a solution of the system

If a physician order is 25% dextrose 1000 mL and all you have is 70% dextrose 1000 mL and 5% dextrose how much 70% dextrose will be used

Answers

Answer:

The answer is below

Step-by-step explanation:

Since 1000ml Of Dextrose 25% is needed to be produced from Dextrose 70%. Let us assume that x ml of Dextrose 70% is mixed with a Dextrose 5% to get 1000 ml of Dextrose 25%. Hence:

The amount of Dextrose 5% = 1000 ml - x ml = 1000 - x

25% of 1000 ml = 70% of x + 5% of (1000 - x)

25000 = 70x + 5000 - 5x

Simplifying gives:

65x = 25000 - 5000

65x = 20000

x = 308 ml

Therefore 308 ml of Dextrose 70% was mixed with 692 ml of Dextrose 5% to produce 1000 ml of Dextrose 25%.

10 points to answer this question. Determin the numerical length of VW.​

Answers

Answer:

9

Step-by-step explanation:

4x-7 + 3x = 5x -1

7x - 7 = 5x +1

2x = 8

x = 4

VW = 4x - 7

      = 4(4) - 7

      = 16-7

      = 9

Write an equation for the following parabola. A. (x+5)^2+5 B. (x-3)^2+4 C. (x-5)^2+4 D. (x+3)^2+5 Please select the best answer from the choices provided

Answers

Answer:B

Step-by-step explanation:

A(3;4) in the parabola.

The answer B: y=(x-3)^2 +4.

y=yA=4; x=xA= 3

=> 4=(3-3)^2+4 (right)

Helpppppp y’alllllllllll

Answers

Answer:

[tex]V=83.73\ in^3[/tex]

Step-by-step explanation:

The capsule is in the shape of two hemispheres and cylinder.

The volume of the container = volume of two hemispheres + volume of cylinder

The radius of the container, r = 2 in

Height of the cylindrical part, h = 8 in - 4 in = 4 in

So,

[tex]V=2\times \dfrac{2}{3}\pi r^3+\pi r^2 h\\\\=\dfrac{4}{3}\pi r^3+\pi r^2 h\\\\V=\pi r^2 (\dfrac{4}{3}r+h)[/tex]

Put all the values,

[tex]V=3.14\times 2^2 (\dfrac{4}{3}\times 2+4)\\\\V=83.73\ in^3[/tex]

So, the volume of the container is equal to [tex]83.73\ in^3[/tex].

Sina + sin2a + sin3a + ... + Sinna

Answers

Answer:

sinasinasinasina

Step-by-step explanation:

this ia my answer pag pinagsama lahat ng sina

if i have £100000 what is 47.6% OF THE MONEY

Answers

Answer:

Step-by-step explanation:

it maybe 11,000 i am not sure but i hope this helped

Answer:

47,600.00

Step-by-step explanation:

I just did a math test with that exact same Question.

PLEASE HELP DONT SKIP I NEED YOU

Find the number of different outfits that can be made from 3 sweaters, 4 shirts, and 6 pants. Then find the probability of selecting a particular sweater, shirt, and pants outfit.

outcome -

Probability (as a fraction) -

Answers

Answer:

72 outfits possible,

1/72 chance of selecting a particular outfit

Step-by-step explanation:

For each of the 3 sweaters, there are 4 shirts to choose from, and for each of those 4 shirts, there are 6 pants to choose from. Therefore, there are totally [tex]3\cdot 4\cdot 6=72[/tex] outfits to choose from (order is fixed and therefore negligible). A specific outfit would represent 1 of these 72 outfits. Therefore, the probability of selecting a particular outfit is [tex]\boxed{\frac{1}{72}}[/tex]

The product of two rational numbers is 9⁄7 and one of them is 15⁄14. Then the other rational number is​

Answers

Answer:

The other rational number in the operation given is:

6/5

Step-by-step explanation:

To obtain the number in the operation given, we're gonna represent the operation:

r * 15/14 = 9/7

Where:

r = the other rational number.

Now we are going to solve r to identify its value in numbers:

r * 15/14 = 9/7[tex]r = \frac{\frac{9}{7} }{\frac{15}{14}}[/tex] (We pass a number that is multiplying to the left of the equal, to divide to the right of the equal symbol)[tex]r = \frac{6}{5}[/tex]

As you can see, when we operate, the result is 6/5, and we can prove this multiplying as we had in the original equation, replacing r by 6/5:

r * 15/14 = 9/76/5 * 15/14 = 9/79/7 = 9/7

In this form, we know the result is correct.

hahaha help:)))))))))

Answers

Answer:

1332 i think is how it will be writen

Step-by-step explanation:

Answer:

121,212

Step-by-step explanation:

im not 100% sure

Find the missing length indicated.

Answers

Answer:

x= 108

Step-by-step explanation:

use the altitude theorem:

altitude ² = projection of side 1* projection of side 2

x² = 144* (225-144)

x² = 144*81

x= √144*81

x= 108

Name the quadrilateral ?

Answers

Answer:

Rectancle

Step-by-step explanation:

Has four sides and four edges

Answer:

A rectangle

Step-by-step explanation:

A rectangle has 4 sides, in which the opposite angles are equal.

In here, AD = BC & AB = CD

Hope u understood

Please mark as brainliest

Thank You

what is the cost for 23 yards of cloth at 85.62 per yard

Answers

Answer:

1,969.26

Step-by-step explanation:

If a yard costs 85.62, we can present this as;

y = 85.62

Therefore, to find the cost of 23 yards, we can represent the above equation as;

23y = x

since we already know the value of y, we can say that

x = 23(85.62)  

so,

x = 1,969.26

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