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Blizzard [7]
3 years ago
8

which of the following scenarios could be represented by the expression 10x 5y? a. the cost for x adults and y children to go to

the movies if adult tickets are $10 and child tickets are $5. b. the total number of marbles in a jar if there are 5 green and 10 red. c. the total weight of a box containing x 5-ounce packages of almonds and y 10-ounce packages of peanuts. d. the number of kids in a school class if there are 10 girls and 5 boys.
Mathematics
2 answers:
kondaur [170]3 years ago
8 0
A. 10(number of adults) + 5(number of children)
inna [77]3 years ago
4 0

Answer: Option 'a' is correct because that can be represented by the expression 10x+5y.

Step-by-step explanation:

Since we have given that

a). the cost for x adults and y children to go to the movies if adult tickets are $10 and child tickets are $5.

Let number of adult tickets be 'x'.

Let the number of child tickets be 'y'.

Cost of adult tickets = $10

Cost of child tickets = $5

So, the total amount will be represented as

10x+5y

c). the total weight of a box containing x 5-ounce packages of almonds and y 10-ounce packages of peanuts.

Let the number of 5 ounce packages of almonds be 'x'.

Let the number of 10 ounce packages of peanuts be 'y'.

So, the total weight will be represented as

5x+10y\neq 10x+5y

So, only option 'a' is correct because that can be represented by the expression 10x+5y.

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HELP ME DO A STATEMENT REASON FOR THIS PLEASE
Natali [406]

Answer:

Lines are parallel if the sum of external angles of same side is 180°.

Step-by-step explanation:

Let one of the external angle is α°.

and other external angle is β° which is equal to α°/11. (∵ Given on is 11 times smaller than the other.)

Also β° = 1/6 of the right angle = (1/6)×90° = 15°.

β° = α°/11 , ⇒ α° = 11×β° = 11×15° = 165°.

α°+β° = 165° + 15° = 180°.

Here, sum of the two external angles = 180° ⇔ the given lines are parallel.

3 0
4 years ago
Which property states that if a = b and b = c, then a = c?
Murljashka [212]

transitive propery, it states the a = b and b = c, then a = c

8 0
3 years ago
BRAINLIEST TO THE FIRST CORECT ANSWER!!!Leonardo wrote an equation that has an infinite number of solutions. One of the terms in
Tems11 [23]

Answer:

The missing term is 3x

Step-by-step explanation:

Hope that helped!!

6 0
3 years ago
a mechanic worked 20 hours. another mechanic worked 15 hours. together they charged a total of $1950. what was the rate charged
Natasha_Volkova [10]

Answer: The mechanics both charged $70 and $45 per hour respectively

Step-by-step explanation: We shall start by calling the mechanics hourly rates x and y respectively. So if one worked for 20 hours and charged 20 times x dollars, and the other one worked for 15 hours and charged 15 times y dollars, totalling 1950 dollars, we can write the following expression,

20x + 15y = 1950

Also, if the sum of the two rates was 115 dollars, that means for working for an hour only, they both would earn

x + y = 115

We now have a pair of simultaneous equations

20x + 15y = 1950 --------(1)

x + y = 115 ------------------(2)

We shall use the substitution method for this problem.

From equation (2), make x the subject of the equation

x = 115 - y

Substitute for the value of x into equation (1)

20(115 - y) + 15y = 1950

2300 - 20y + 15y = 1950

By collecting like terms we now have

2300 - 1950 = 20y - 15y

(Note that when a negative value crosses to the other side of the equation, it becomes a positive value and vice versa)

350 = 5y

Divide both sides of the equation by 5

70 = y

We now substitute for the value of y into equation (2)

x + y = 115

x + 70 = 115

Subtract 70 from both sides of the equation

x = 45.

Therefore, the rate they charged per hour were $45 and $70 respectively.

7 0
3 years ago
A new roll of wrapping paper has 6 5/8 yards of paper. Drew used 2 1/6 yards from the roll to wrap a gift. Which equation most c
Sedbober [7]
First you have to make both fractions have the same denominator, so you can multiply each fraction by the others denominator.

5/8
To
(5*6)/(8*6)

And

1/6
To
(1*8)/(6*8)

Now it's 6 30/48 - 2 8/48

= 4 22/48

Now reduce to

= 4 11/24

So, 4 11/24 is the answer

3 0
3 years ago
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