Two glasses of milk and 3 snack bars have a total of 62 carbohydrates, and 3 glasses of milk and 2 snack bars have a total of 58 carbs. Determine how many carbs are in one glass of milk in one snack bar.

Answers

Answer 1

Step-by-step explanation:

So looking at this question, we have two variables (1 - a glass of milk; 2 - a snack bar) and two equations to use to solve for the two variables. Remember that for any number of variables, you need that same number or more equations to solve for the variables.

Let's say that a glass of milk is represented by g and a snack bar is represented by s.

So we essentially have two equations here:

4 glasses of milk + 3 snack bars = 88 carbs, or:

4g + 3s = 88

2 glasses of milk + 4 snack bars = 74 carbs, or:

2g + 4s = 74

Now that we have this, we can solve for our equations. There are two ways to do this:

SUBSTITUTION - solve for one variable, then substitute it in

Let's solve for g using the second equation. First, we'll isolate g by subtracting 4s from both sides.

2g = 74 - 4s

Next, we can divide the whole equation by 2 to solve for g.

g = 37 - 2s

Now, we can substitute this into the first equation for g and solve for s.

4g + 3s = 88

4(37 - 2s) + 3s = 88

148 - 8s + 3s = 88

148 - 5s = 88 (now subtract 88 from both sides and add 5s to both sides)

60 = 5s

s = 12

Now we can use this to solve for g in the original equation

g = 37 - 2s

g = 37 - 2(12) = 37 - 24 = 13

ELIMINATION - eliminate one variable to solve for the other, then use that to solve for the first

Let's look at our two equations

4g + 3s = 88

2g + 4s = 74

Let's eliminate the variable g first by multiplying the second question by -2.

4g + 3s = 88

-4g - 8s = -148

If we add these two equations together, we get

-5s = -60

Divide both sides by -5 and we get

s = 12

Now, we can plug s into either equation to solve for g as we did above.


Related Questions

Solve the question.
Q – 26 = –53

Answers

Answer:

Q=-27

Step-by-step explanation:

From question,

Q - 26 = -53
Q = -53+26
Therefore Q = 27 ans

Hope this helps you!

Please mark it as the brainliest <3

Write an essay about your learning on how you solve problems involving integers. (5 points). Take a photo of your answer. (To the Online Teacher please provide a link for submission of output).

Answers

Answer:

to use integers for certain problems and equation on math, i can also use it for future use in life in case i need it, Its very helpful to learn since it isnt that complicated nor hard, its just a good skill to keep in mind as a student.

Find the value of each variable. If your answer is not an integer, write it in simplest radical form with the denominator
rationalized
y=
and z=

Answers

Answer:

7

Step-by-step explanation:

First you have to fined the unit rate

1,500/25= 60

Now your gonna do

300x60= 18,00

How do you decide where to shade an inequality whose boundary does not go through the origin?

Answers

Answer:

If it does not satisfy the inequality, shade the region which does not contain that point. All the points in the shaded region will satisfy the inequality. Note: The origin (0, 0) is usually the easiest point to test, provided it is not on the line.

Inequalities are used to represent unequal expressions.

The region to shade are the region that satisfy the inequality.

Take for instance the following inequality

[tex]\mathbf{y \ge 2x + 5}[/tex]

The above inequality represents greater than or equal to.

This means that, the regions that satisfy the inequality are the region on the line of [tex]\mathbf{y \ge 2x + 5}[/tex] and the areas above it.

If the inequality is less than, then the region below the line of the inequality will be shaded.

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someone PLEASE help me, Geometry isnt my strong subject
PQ=2.8in

Q=311


Find the area of the Shaded region, round to the nearest tenth.

Answers

Answer:

3.4 will be the answer trust me it took me awhile too.

Step-by-step explanation:

The measure of H=90°, the measure of G=80° and FG=75 feet. Find the length of HF to the nearest tenth of a foot

Answers

Answer:

The length of HF is 73.9 feet.

Step-by-step explanation:

Let the length of HF be represented by x. So that applying the appropriate trigonometric function to the triangle FGH, we have;

Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]

Where θ is the angle given in the triangle = [tex]80^{o}[/tex].

Then,

Sin 80 = [tex]\frac{x}{75}[/tex]

⇒ x = Sin 80 x 75

      = 0.9848 x 75

      = 73.86

x = 73.9

Thus, the length of HF is 73.9 feet.

50 points WILL GIVE BRAINLIEST ASAP
Graph the function
f (x) = 3√x−2

Answers

Answer:Graph using the end point and a few selected points.

x           y

0          − 2

1           -5

2           -6.24

Step-by-step explanation:

If a f=23cm, find the length of EC.

Answers

Answer:

37.3

Step-by-step explanation:

The length of EC shown in the diagram is 37.3.

"To understand the calculation, check below."

Triangles

ΔBE -ΔAE= ΔAB

ΔAB=180°-148°

ΔAB=32°

ΔBE -ΔAB-ΔBC=ΔCD   (Congruent angles)

ΔCD  = 180-32-87

ΔCD  =62

EC=61+32

EC=93

L=93•2pi23/360

L=37.3

Therefore , EC=37.3

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Identifying and Solving Proportions
PLS ANY HELP!! thank you to whoever helps with question 6 <3

Answers

Answer:

Inez ran the mile in 5 minutes and 20 seconds

Great had the fastest time.

Her mile was faster by 20 seconds.

Step-by-step explanation:

please answer this someone I’m desperate

Answers

coordinates: (3, -3)
this point R would be the same distance that point P is from point Q, fulfilling the statement of it being an isosceles triangle

Kennedy is building a new L-shaped desk for her room. She wants to make
sure it is large enough to hold all her supplies. The dimensions of the desk, in
feet, are shown in the diagram. What is the area of the desk?
5 ft
4 ft
8 ft
3 ft
4 ft
2 ft
A. 40 square feet
B. 36 square feet
C. 28 square feet
D. 23 square feet

Answers

Answer:

A i hope its right

Step-by-step explanation:

Drag numbers to show which one is closer to -1 and -1/4 on the number line

Answers

Answer:

-0.82 is closest to -1, and -0.28 is closest to -1/4

Step-by-step explanation:

you can start by converting all of them to a fraction or decimal:

-0.28 = -28/100 = -7/25 = -14/50

-0.82 = -82/100 = -41/50

-1/5 = -10/50

-4/5 = -40/50

-1 = -50/50

-1/4 = -12.5/50

PLS HELP ME I WILL GIVE YOU BRAINLIEST!

Answers

If I’m not wrong it’s 4) 69.08 m

Answer:

The answer is 4) 69.08 m

Step-by-step explanation:

PLEASE HELP!!!

The diagram shows two parallel lines inter-
sected by a transversal. Tell whether each sen-
tences is True or False.

Answers

Answer:

1) True

2) True

3) True

4) True

5) False

Step-by-step explanation:

Hope this helped!

Amy was given $74 for a birthday present. This present, along with earnings from a Saturday job, is being set aside for a mountain bike. The job pays $7.50 per hour, and the bike costs $344.

Answers

Answer:

If youre looking for how many hours shell have to work:

Step-by-step explanation:

74+7,5*x=344

7.5*x=270

x=36 hours

I need to know these as well- Ive been staring at my screen and I cant figure them out-

Answers

1. B and D
2. No Solutions ( I think)
3. (4, -1)

Lucy earned $24 for tutoring 2 students for 1 hour each. How much can she earn for tutoring 15 students for 1 hour each?

Answers

Answer:

Step-by-step explanation:

15(24/2)=$180

I need to know the answer to this plz!!

Answers

Answer:

I think the answer is C=100

Step-by-step explanation:

Hope this right.But if it's not,im so sorry

Step-by-step explanation:

it's 100 bro definitely 100 being honest

Use a vertical shift to graph the function. y=2sin(1/2)x+3

Answers

the correct answer is 94

WILL GIVE BRAINLIEST!!! (look at photo if confused)

Match each pair of equivalent expressions on the left with the appropriate property on the right.

3(x multiplied 4) = (3x) x 4

4(x + 5) = 4x + 20

2 + 7x = 7x + 2

Properties

A. Commutative property
B. Associative property
C. Distributive property

Answers

Answer:

4(x + 5) = 4x + 20 is C

2 + 7x = 7x + 2 is A

3(x multiplied 4) = (3x) x 4 is B

Step-by-step explanation:

Answer:

give other person brainliest!!! this is his alt

Step-by-step explanation:

write an equation of the line that passes through the given points (-6,3) (0,4)

Answers

Answer:

y=1/6x+4

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(4-3)/(0-(-6))

m=1/(0+6)

m=1/6

y-y1=m(x-x1)

y-3=1/6(x-(-6)(

y-3=1/6(x+6)

y=1/6x+6/6+3

y=1/6x+1+3

y=1/6x+4

6 friends decided to put their money together to buy a pet for the class. The pet and it's accessories cost $225. How much will each student have to pay?

Answers

Answer:

b

Step-by-step explanation:

225/6=37.5
So each student pays $37.5

Fred has a garden. He has 10 aucumber plants. This is 5% of all the plants in his garden. How many plants dons Fred have in his garden?​

Answers

The answer is 200 plants in Fred’s garden.

Rhonda has an extra credit project to make a rectangular prism with the volume of at least 24 in3 . If the area of her base is 6 in2, which inequality would represent all the possible heights, h, of her prism in order to meet her teacher’s requirements?

A h ≥ 4

B. h ≥ 8

C h ≤ 4

D. h ≤ 8

Answers

The answer would be c

Answer:

c

Step-by-step explanation:

what are common prime factor of 77 and 242?​

Answers

Answer:

2 times 11 times 3511

Step-by-step explanation:

i kinda dont know what your asking but i tried

The common prime factor of the numbers  77 and 242? will be 11.

What is a prime factor?

A number can be expressed as the product of its prime factors through the process of prime factorization. A number with exactly two factors, 1 and the number itself, is said to be a prime number. As an illustration, let's use the number 30. Even though we are aware that 30 = 5 6 is not a prime number,

Given that the numbers are 77 and 242. The prime factor of the numbers is calculated as,

77 / 11 = 7

242 / 11 = 22

Hence, the number 11 is completely dividing both the numbers 77 and 242 so the prime factor of the numbers is 11.

To know more about prime factors follow

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Question is in the picture, will give brainliest

Answers

Answer:

Last option (bottom right)

Step-by-step explanation:

The scientific notation for 0.002 is [tex]2*10^-3[/tex] (you move the decimal 3 to the right to get 2)

multiply the number of mustard seeds with this and you get 80. In scientific notation it is [tex]8*10^1[/tex] (move the decimal 1 to the left to get 8.0)

The volume of clay sculpture is 540 cubic inches.What is the volume of similar sculpture that is smaller by a scale factor of 1/2.

Answers

Answer:

67.5 in³

Step-by-step explanation:

Given that :

Volume 1 = 540 in³

Volume 2 of similar shape = x ; if the scale factor = 1/2

Volume of a shape = length * width * height)

The scale factor = 1/2

Volumetric factor = 1/2 * 1/2 * 1/2 = 1/8

Hence, the volume of similar sculpture will be :

540 in³ * 1/8 = 67.5 in³

HELP DUE IN 5 MINS!

x=??

y=??

Answers

Answer:

x = 55

y = 45

Step-by-step explanation:

In similar triangles, the ratio between similar sides are the same. So,

AB/ED = BC/EF = AC/DF

Substitute values that they give

6/15 = 18/y = 22/x

Solve 6/15 = 18/y by cross-multiplying

6y = 15*18 = 324

Divide both sides by 6

y= 45

Solve 6/15 = 22/x by cross-multiplying.

6x = 22*15 = 330

Divide both sides by 6.

x = 55

Because there is some dispute between the answers, let's check the ratios.

6/15 = 18/45 = 22/55

0.4 = 0.4 = 0.4

True, x = 55 and y=45

since triangle abc~ def

their sides will be proportional

AB/de=ac/df

6/15=22/x

doing crisscrossed multiplication

6x=22×15

x=22×15/6=55

again

AB/de=BC/EF

6/15=18/y

doing crisscrossed multiplication

6y=15×18

y=15×18/6=15×3=45

Jamie is not sure exactly what career to pursue but when she learned about the Human Services cluster, something spoke to her. Which types of career pathways are available to Jamie? Pick a career from each path and explain what it involves and where she might work if she had that job.

Answers

The careers in the human services cluster include:

Agriculture, and Natural Resources.Architecture and Construction. Communications.Business, Management, and Administration.Education and Training

How to illustrate the information?

Human needs are met through activities such as counseling and mental health services, family and community services, personal care, and consumer services in the Human Services career cluster.

Career clusters are groups of jobs that are similar in nature. They make it simple to investigate many types of occupations under a single broad category. Begin by learning about one of the clusters, such as health care or construction, to understand about what it entails, current trends, and the various careers it offers.

Learn more about human services on:

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solve the quadratic y = −x^2 + 4x + 1 with steps plz!

Answers

Answer:

x = -0.24 or 3.73

Step-by-step explanation:

[tex]\frac{-b + \sqrt{b^{2} -4ac } }{2a}[/tex] (There's supposed to be a ± between '-b' and the square root)

[tex]x^{2}[/tex] + 4x + 1 ( [tex]ax^{2} + bx + c[/tex] )

a = -1 ( there's no number before [tex]x^{2}[/tex] so its 1 )

b = 4

c = 1

Substitute into the quadratic equation.

[tex]\frac{-4 + \sqrt{4^{2} -4x1x-1 } }{2x-1}[/tex] ( the [tex]x[/tex] is just the multiplication sign )

=  [tex]\frac{-4 + \sqrt{{16} +4 } }{-2}[/tex]

[tex]\frac{-4 + \sqrt{{20} } }{-2}[/tex] = -0.24    [OR]     [tex]\frac{-4 - \sqrt{{20} } }{-2}[/tex] = 3.73

( The answers are to 2 decimal places )

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