Mathematics College

15.
The number of calories in a 100-g serving of fruit varies by the type of fruit. A snack consisting of
on serving each of peach, apple, and banana contains 124 calories. A snack consisting of two
servings of peach and one serving of banana contains 160 calories. A snack consisting of one
serving of peach, 2 servings of apple, and two servings of banana contains 188 calories. How
many calories are in a 100-g serving of each type of fruit?

Answers

Answer 1

Answer:

A=24, B=40, P=60

Step-by-step explanation:

given:

P+A+B=124

2P+B=160

P+2A+2B=188

___________

P=188-2A-2B

P=124-A-B

188-2A-2B=124-A-B

188-A-B=124

188=124+A+B

A+B=64

___

P+A+B=124

P=60

___

2P+B=160

120+B=160

B=40

___

A+B=64

A=24

___

If we substitute each variable in the three given equations for these values, the equations hold true. Therefore, these are the correct values.

Related Questions

Cumulative GPA (CGPA) of a student is defined as the sum of the product of all grades multiplied by the credits of the corresponding class, divided by the sum of all credits. For instance consider a student took three courses with 3, 3, and 4 credits. Assume that the grades of this student from these courses are 4.0, 3.7, and 3.3.

The CGPA of this student is: __________

Answers

Answer:

probably about 3.5

Step-by-step explanation:


A bag of marbles consists of 14 blue marbles and 7 red marbles. If you reach into the bag and choose 2 marbles,
what is the probability that they are both blue? Assume the first marble is not replaced.

Answers

Answer:

chances are 10.5

Step-by-step explanation:

Solve ^3/x^2-8=2 pls help

Answers

Answer:

its the first one

Step-by-step explanation:

Precalculus graph function help please

Answers

B and c and d i think

2x+5y=(-24),3x+y=(-10) solve for using elimination method

Answers

Answer:

x equals -2 and y equals−4

For every 3 minutes that Ginny plays on the computer, she plays outside for 10 minutes. What is the ratio of minutes Ginny plays on the computer to minutes she plays outside?​

Answers

Three to Ten  3:10

...................................................

m = -(4 + m) + 2


This is on khan academy 7 grade math.

If correct answer will mark Brainlyest

Answers

Answer:

-1

sorry if this is wrong I really am

Answer:

m= -1

Step-by-step explanation:

Have a nice day

The force in Newtons acting on a particle located x meters from the origin is given by the function F(x)=12x2+7. What is the work done in Joules when moving the particle from x=2 to x=5?

Answers

[tex]W = \displaystyle \int^{5}_{2} F(x) ~ dx\\\\\\= \displaystyle \int^{5}_{2} \left(12x^2 +7\right) ~dx\\\\\\= 12\displaystyle \int^{5}_{2} x^2 ~dx + \displaystyle \int^{5}_{2} 7~ dx\\\\\\=12 \left[\dfrac{x^3}3 \right]^{5}_{2} + 7\left[x\right]^{5}_{2}\\\\\\=4(5^3-2^3) + 7(5-2) = 468 + 21 = 489~ J[/tex]

What percent of 75 is 15? What percent of 15 is 75? What percent of 48 is 20? What percent of 88 is 88?

Answers

1. 70 is what percent of 15? =20

2. 15 is what percent of 70? =20

3. 48 is what percent of 20? = 41.67

4. 88 is what percent of 88? =100

Calculate the volume of the pyramid. Round your answer to the nearest hundredth 10in 7in

Answers

Answer:

Place the numbers in their places. b=base h=height.

Step-by-step explanation:

Hemp help help help help help math math math

Answers

Answer:

x=25

Step-by-step explanation:

5x-5+  2x+10 =180

2x-5x = 10+5

3x= 15

x=5

5(5)-5+ 2(5) +10 =180

(NO LINKS AND DON'T COMMENT IF YOU DON'T KNOW)Compare the ratios using the models. Which statements are true? Check all that apply. 7 to 16 The model for the ratio 7 to 16 should show 7 cells shaded. The model for the ratio 6:8 should show 8 cells shaded. The ratio 7 to 16 is greater than 6:8. The ratio 6:8 is greater than the ratio 7 to 16. 6.8​

Answers

Answer:

Step-by-step explanation:

Hi sorry if I’m bugging just trying to help out by getting Them B bye

13.
Identify the vertex of the parabola.

A. (4, 3)

B. (3, 4)

C. (2, 7)

D. (6, 7)

Answers

Isentify the vertex of the parabola, A

Which of the following is the equation of a line that passes through the point
(3,2) and is parallel to the yaxis?
A. y = 2
B. y= 3
C. x= 3
D. x = 2

Answers

The answer would be b

Simplify.

1/cosθ + tan^2θ/cosθ

• 1 + sinθ
• sec^3θ
• 1
• cos^3θ

Answers

Answer:

I'm guessing the answer is sec³θ

Step-by-step explanation:

I tried this problem and I got 1/cos³θ and clicked cos³θ, but that answer was incorrect. In my lesson, there were the options:

1. sec³θ

2. cos³θ

3.  secθ

I didn't have options 1 + sinθ or 1 as answers. If sec³θ is not the correct answer, please correct me.

3x3 + 4x2 - 8x + 18
What is the constant term?


Answers

Answer:

18

Step-by-step explanation:

18 is the constant term since it contains no variable.

Help me with this answer please​

Answers

Answer:

£6.25

Step-by-step explanation:

2.25 x 15 = 33.75

40 - 33.75 = 6.25

Answer:

£6.25

Step-by-step explanation:

Hii,

So if each lesson is 2.25, you times this by 15 to get the total amount of payment. £2.25 x 15 = 33.75

To get change, you need to take away the amount you are giving by how much the bill is.

£40 - £33.75 = £6.25

I hope this helped :P

Can someone please answer this question? Someone answered and they deleted their answer, so I need someone else to help me!
Please do not delete your answer, steal the points, or send links, I really need some help!

Answers

Check the picture below.

now, notice the triangles made, 3 right triangles with legs of 5 and 4 each.

looking at quadrilateral (1), from the leg 5 units long, we have a line with a run of -1 and a rise of 3, from the leg 4 units long, we have a line with a run of 4 and a rise of -1.

Now, quadrilaterals (2) and (4) display the same lengths and rise and runs, which means they're all congruent, quadrilateral (3) has no equal.

so 1 ≅ 2 and 1 ≅ 4.

Gven: f(x) = 4x +1 and (x)= x^2 + 1.

find (fog)(x)​

Answers

Answer:

Step-by-step explanation:

27836?+_68_729+_8978

SOMEONE PLEASE HELP MEEEEE

Answers

Answer:

Area = 23.12 cm²

perimeter = 24.28 cm

Step-by-step explanation:

top shaded region is circular arc with 90° sector angle

so perimeter of arc is 90 / 360 * 2πr

here radius of arc is half the length of square side

r = 6.8/2 = 3.4

top area shaded perimeter = 90/360 * 2 * 3.14 * 3.4

= 1/4 * 2 * 3.14 * 3.4

= 5.338

bottom region perimeter is also same

total perimeter of shaded region is = side + side + two arcs

= 6.8 + 6.8 + 2 * 5.338

= 13.6 + 10.676

= 24.276

= 24.28

Area of top shaded region is 90/360 * πr²

A = 1/4 * 3.14 * 3.4²

= 9.0746

bottom shaded region area is half of area of square - area of bottom arc

= 6.8 * 3.4  - 9.0746

= 23.12 - 9.0746

= 14.0454

so total area of shaded region is 9.0746 + 14.0454

= 23.12

or you can just calculate area as half of area of total square = 6.8² / 2

= 23.12

At a store, 4 shirts cost $25 and 6 shirts cost $37.50.

Part A:
Is there a proportional relationship between the shirts and their cost? If so, what is the unit rate for one shirt?

Answers

Yes, each shirt is $6.25.

31 divided by 943.89

Answers

Answer:

0.032

Step-by-step explanation:

Answer:  0.03284281007

Step-by-step explanation:

Someone pls help me with these worksheets.



(Please answer properly, if u don't know, just leave it)

Answers

These are answers of the second page. but I don't the answer to question 5

helppp please!!!!!!!!!!!!!!

Answers

Answer:

No

No

Yes

Yes

No

Step-by-step explanation:

In this case we are looking at substitution, so any where you find x put three(3) in replace of it.

And remember the answer should be 36,

I find it difficult to type the answer so I will take a picture instead.

f(x)= -2x^3 +14x -8
g(x)= 2x+6

Answers

Answer:

F(2x+6)=-16x^3-144x^3-404x-356

Step-by-step explanation:

Jeremy can row 2/3 of a mile in 1/2 hour how long will it take him to row 1 mile?
​

Answers

Answer:

It takes 3/4 of an hour to go 1 mile

Step-by-step explanation:

You can do this by setting up a proportion and by using decimals for some fractions

2/3 = 0.66667 Miles

1/2 = 0.5  hours

0.66667/0.5 = 1/x                         Cross multiply

0.66667 * x = 0.5 * 1                     Simplify

0.66667 * x = 0.5                         Divide both sides by 0.66667

x = 0.5 / 0.66667

x =  0.74999625                           Notice when rounded this is 0.75

x = 0.75                                         Now notice that 0.75 as a fraction is 3/4

x = 3/4

Jeremy can row 2/3 of a mile in 1/2 hour then it will take him 3/4 hour to row 1 mile.

If Jeremy can row 2/3 of a mile in 1/2 hour, then the time it takes him to row 1 mile can be found by setting up a proportion:

(2/3 mile) / (1/2 hour) = 1 mile / (x hours)

Cross-multiply:

(2/3) × x = 1 × (1/2)

Now solve for x:

x = (1/2) / (2/3)

x = 3/4

So, it will take Jeremy 3/4 of an hour (or 45 minutes) to row 1 mile.

Learn more about mile here:

https://brainly.com/question/29806974

#SPJ3

Select the best answer.

sin(3pi/3 + x) =

• sinx
• -sinx
• -cosx
• cosx

Answers

Answer:

-sin x

Step-by-step explanation:

sin(3π/3+x)=sin (π+x)=-sin x

or

sin (π+x)=sin πcos x+cos π sin x=(0)cos x+(-1)sin x=0-sin x=-sin x

Max has 345 fiction books and 179 nonfiction books. He wants to give 205 books
to his local library for a donation. How many books does Max have left after
making his donation?

Answers

Answer:

319 books

Step-by-step explanation:

345+179=524

524-205 = 319

Harley has 60 beads. There are 11 beads that are NOT round. The rest are round. How many round beads does Michelle have?
Help please

Answers

Answer:

49

Step-by-step explanation:

If there's 60 beads in total and 11 are round and the rest aren't all you have to do is subtract 11 from 60.

Like This: 60-11=49

To check your answer you can add them to see if you get 60. Like this: 11+49=60

is {(-2,1),(-1,2),(0,3),(1,4) } a function?

Answers

Think of it this way, a function must pass the vertical line test.  There may not be 2 outputs for one input for example  (0, 1) (0, 2)  However, you can have something like this (1, 0) (2, 0)

This is indeed a function as it meets those criterion.  There are no two outputs for one input.

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