Four glasses of milk and 2 snack bars have a total of 86 carbohydrates​ (carbs), and 2 glasses of milk and 3 snack bars have a total of 69 carbs. Determine how many carbs are in one glass of milk and in one snack bar.

Answers

Answer 1

Answer:

One glass of milk: 15 carbs

One snack bar: 13 carbs

Step-by-step explanation:

This problem is an example of systems of linear equations. We can set this problem up by defining variable. I used [tex]m[/tex] for the glass of milk and [tex]b[/tex] for the snack bar.

First, we have: 4 glasses of milk and 2 snacks bar have a total of 86 carbs. We can write this as

[tex]4m+2b=86[/tex]

Next: 2 glasses of milk and 3 snack bars have a total of 69 carbs.

We can write this as

[tex]2m+3b=69[/tex]

Now we set it up.

[tex]4m+2b=86[/tex]

[tex]2m+3b=69[/tex]

By dividing both sides of the first equation by 2, we can use the subtraction method to get rid of the variable [tex]m[/tex]. Now we have

[tex]2m+b=43[/tex]

[tex]2m+3b=69[/tex]

Subtract like terms and solve for [tex]b[/tex]

[tex]-2b=-26[/tex]

[tex]b=13[/tex]

Now we substitute [tex]b[/tex] back into the original equation to find [tex]m[/tex].

[tex]2m+(13)=43[/tex]

[tex]2m=30[/tex]

[tex]m=15[/tex]

There you have it. I hope this helps!


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Mrs. Trotta drives 31 miles each day when she goes to work. How many miles does she drive in a 5 day work week?


Im a little lazy and i dont feel good so someone answer this please

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155 because you do 31 times 5. 31 for each day she drives and 5 for many days she drives there so it’s 155

explain the arrangements of the atoms, I already have the first part done​

Answers

Step-by-step explanation:

The ongoing arrangement of metal atoms in a three-dimensional regular ordered pattern is known in chemistry as a lattice structure. A simple model of an atom is a central atomic nucleus with electrons arranged in shells at different distances from the nucleus.

Which expression is represented by the model below?

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A.
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×
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3
B.
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8
C.
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Answers

Answer

its d

Step-by-step explanation:

The expression that is represented by the model below is -

y = 2 x 3/8.

What is expression in mathematics?

An expression in mathematics is a combination of terms both constants and variables.

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3 of the 8 bars are colored. Using fraction, we can represent it as -

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There are two such bars, so we can write -

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y = 2 x 3/8.

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Two lines A and B are parallel if both lines are rotated 90° in the same direction and then translated to the right by the same number of units which statement about the lines resulting from these transformations is true

Answers

Answer:

A' and B' will be parallel. (See Explanation)

Step-by-step explanation:

Given

Parallel lines: A and B

Rotation: 90° same direction

Translation: Right (same units)

Required

Describe the result of the transformation

No options were given. So, I will answer on general terms.

From the question, we can see that, the same transformation that was performed on line A was also done on line B.

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Answers

Answer:

4 is the slope

Step-by-step explanation:

y−6=4(x+5)

This equation is in point slope form

y -y1 = m(x-x1)  where m is the slope and ( x1,y1) is a point on the line

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Which algebraic expression represents the phrase "fourteen increased by a number"? 14 + y 14y StartFraction 14 over y EndFraction 14 minus y

Answers

the answer is 14 + y

The algebraic expression that represents the phrase "fourteen increased by a number" is 14 + y. which is the correct answer that would be an option (A).

What is the algebraic expression?

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

The given statement is "fourteen increased by a number"

According to the given question, translate the phrase into an algebraic expression:

⇒ 14 + y

This is because the phrase "increased by" means to add a certain number to 14.

The variable y represents the number that is being added to 14.

Thus, the algebraic expression that represents the phrase "fourteen increased by a number" is 14 + y.

Hence, the correct answer would be option (A).

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Answers

Answer:

the answer is x=2 and y=2

Step-by-step explanation:

-3y=16+5x

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Answers

the area of the shaded region can be found by subtracting the area of the inside rectangle from the outside rectangle

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so the area of the shaded region is 60y-15x

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Answers

You could use the distributive property, the distributive property is when you break down numbers, 36-36= (16+16)-(16-16)

Answer:

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Step-by-step explanation:

Will give brainlyest (however you spell it)
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Answer:

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The county fair charges $.50 per ride and $10 to get
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Answers

Answer:

r=44 rides

Step-by-step explanation:

(32-10) ÷ 0.50 = r

r=44

Answer:

44 rides

Step-by-step explanation:

r=32-10/.50

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What mathematical term describes both 5.3 and 8.2 in the expression 5.3 x − 8.2 y + 11.1 ?

Answers

Answer:

coefficient

Step-by-step explanation:

What is the slope-intercept equation for the
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A. y = 1/2x - 1
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Answers

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Answers

To do this, we first want to see how many participants there are in total by adding both males and females.

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Now we know that there were 220 total participants, but only 121 were females.

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Answers

Answer:

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Do I have to use different numbers?

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Answers

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Answers

Answer:

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Step-by-step explanation:

6 pounds of apple = $21.00

Cost per pound :

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16 ounces cost $3.5

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Answers

Answer:

14 cm²

Step-by-step explanation:

1/2 (7•4)

1/2 (28)

14

Answer:14

Step-by-step explanation:

I believe it is asking you to multiply 4 and 7 getting 28, then divide that by 2 so 14

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

2: 139

3: 139

4:41

Answer:

Step-by-step explanation:

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Answer:

D

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Step-by-step explanation:

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Answers

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30 points

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Answers

The slope of a line parallel to this line is -4/7
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Answers

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Answers

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Step-by-step explanation:

Answer:

A=1.89×10 7 (7 as the exponent)

Explanation:

SYMBOL THAT INDICATES THE ROOT OF THE NUMBER

Answers

Answer:

The root symbol (√ ) is used to represent the square root of any number.

Answer:

[tex]\sqrt{x}[/tex]

Square Root

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