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Svetllana [295]
3 years ago
6

Marta said 50 + one-half m = 120 is an equation, while Maribel argued that it is an expression. Determine who is correct and exp

lain why.
Mathematics
2 answers:
Alina [70]3 years ago
4 0

Sample Response: Marta is correct. This is an equation. The statement includes an equal sign. Equations include an equal sign, expressions do not include an equal sign.

In-s [12.5K]3 years ago
3 0

Answer:

Marta

Step-by-step explanation:

We are given that

50+\frac{1}{2}m=120

We have to find who is correct and explain.

We know that

Equation: It is mathematical sentence that combines  numbers and variables which shows the equality of two expressions.

Example:

x+y=3

Expression: It is mathematical phrase that combines  numbers and variables

using mathematical operators.It can be evaluated but not solved.

Example:

x+y

By definitions

50+\frac{1}{2}m=120

It is in equation form.

Therefore, Marta is correct.

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Determine the value of a + b in the system of equations below. <br><br> 5a + 4b = 22<br> 7a-b= 11
dexar [7]

Answer:

We have a + b as;

2 + 3 = 5

Step-by-step explanation:

Here, we want go get the value of a and b

from the second equation, we can get an expression for b

We have this as;

7a - b = 11

Thus,

b = 7a - 11

Now, from here, we can substitute the value of b into the first equation

We have this as;

5a + 4(7a - 11) = 22

5a + 28a -44 = 22

33a = 22 + 44

33a = 66

a = 66/33

a = 2

Recall;

b = 7a - 11

substituting the value of a from above;

b = 7(2) - 11

b = 14 - 11

b = 3

6 0
3 years ago
a gift shop sells 160 wind chimes per month at $150 each. the owners estimate that for each $15 increase in price, they will sel
adell [148]

Answer:

The price per wind chime that will maximize revenue = $ 315

Step-by-step explanation:

Given - A gift shop sells 160 wind chimes per month at $150 each. the owners estimate that for each $15 increase in price, they will sell 5 fewer wind chimes per month.

To find - Find the price per wind chime that will maximize revenue.

Proof -

Given that,

Total Wind chimes selling = 160

Price of each Wind chime = $150

Now,

Given that, for each $15 increase in price, they will sell 5 fewer wind chimes per month.

So,

Let the price = 150 + 15x

So,

Number of wind Chimes sold per month = 160 - 5x

So,

Total Revenue, R = (150 + 15x)(160 - 5x)

                             = 24000 - 750x + 2400x - 75x²

                             = 24000 + 1650x - 75x²

⇒R(x) = 24000 + 1650x - 75x²

Differentiate R with respect to x , we get

R'(x) = 1650 - 150x

Now,

For Maximize Revenue, Put R'(x) = 0

⇒1650 - 150x = 0

⇒150x = 1650

⇒x = 1650/150

⇒x = 11

∴ we get

Price per Wind chime = $ 150 + 15(11)

                                    = $ 150 + 165

                                    = $ 315

So,

The price per wind chime that will maximize revenue = $ 315

3 0
3 years ago
a 9 pound bag of sugar is being split into containers that hold 2/3 of a pound. how many containers of sugar will the 9 pound ba
LUCKY_DIMON [66]
Namely, how many times does 2/3 go into 9?

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3 0
3 years ago
PLEASE HELP I WILL MARK THE BRAINLIEST
-BARSIC- [3]

Given: lines l and m are parallel, and line t is a transversal.

angle pair result/justification

1 and 2 are equal (vertical angles)

6 and 8 are equal (corresponding angles)

1 and 4 are equal (alternate exterior angles)

4 and 8 are supplementary angles (i.e. add up to 180 degrees, a straight angle)

Note:

alternate angles are on opposite sides of the transversal, and each attached to a different (parallel) line.

If they are both enclosed by the parallel lines, they are alternate interior angles (examples: angles 2 and 3, 6 and 7)

If they are both outside of the two parallel lines, they are alternate exterior angles (examples: angles 1 and 4, 5 and 8)

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3 years ago
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Post a picture to see the example of point C
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