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rosijanka [135]
2 years ago
9

The product of a number and -7/10 is 1/2 what is the number 1. 7/20 2. -5/7 3. -7/20 4. 5/7

Mathematics
1 answer:
matrenka [14]2 years ago
3 0

Answer:

2)  -5/7

Step-by-step explanation:

\frac{-7n}{10} = \frac{1}{2}

cross-multiply to get:

10 = -14n

-10/14 = n

n = -5/7 (simplified)

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Step-by-step explanation:

again, 2 unknowns.

x = number of 2- points baskets

y = number of 3- points baskets

we know they hit the basket 37 times in a so far unknown mixture of 2-point and 3- point throws.

x + y = 37

which gives us e.g.

x = 37 - y

and we know that with this unknown mixture they scored 80 points.

so,

2x + 3y = 80

as every successful 2-points throw scores 2 points, and every successful 3-points throw scores 3 points.

so, again our 2 equations :

x = 37 - y

2x + 3y = 80

remember, we prepared the first equation so that it gives us already an identity expressing one variable by the other. and that we use in the second equation :

2×(37 - y) + 3y = 80

74 - 2y + 3y = 80

74 + y = 80

y = 6

and from

x = 37 - y

we get

x = 37 - 6 = 31

so, they had 31 2-points throws and 6 3-points throws.

3 0
2 years ago
What is the algebraic expression for 11 more than twice a number x
MrMuchimi

Answer:

11+2x

Step-by-step explanation:

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3 years ago
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In the section describing the survey methods, the report states, “For results based on the total sample of national adults, the
Yakvenalex [24]

Answer:

The interpretation of that same problem is listed throughout the section below on explanation.

Step-by-step explanation:

<u>Interpretation:</u>

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So that the above is the right answer.

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Step-by-step explanation:

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Troyanec [42]

Answer:

7. D

8. A

9. D

10. B

11 A)  640 = 0.8j

11 B)   \frac{0.8j}{1.15}

Step-by-step explanation:

7.

Let Emmet work for "m" minutes

Since, Cal worked 4times as this, we can say Cal worked for "4m" minutes

Now, the total time (CAL + EMMET) is 720, so we SUM UP their individual times' expression and equate to 720. Shown below:

4m + m = 720

This is Answer choice D

8.

Let s be the price of each shirt

Each shirt costs "s" each, so 4 shirts cost "4s" in total.

4 shirts costs 60 AFTER 10 dollar discount, so before discount, it was:

60 + 10 = 70 dollars

Hence, 4 shirts cost 70 dollars BEFORE discount, so we can say:

4s = 70

But none of the choices are this, we need to simply manipulate this equation to get our answer (from choices).

<em>How did we get 70? We added 60 and 10. So we can put "60" on the right hand side and "-10" on the left hand side to get:</em>

<em>4s - 10 = 60</em>

<em />

<em>This is ultimatley 4s = 70</em>

<em>So the correct answer choice is A</em>

9.

Let Tony's age be "y"

We know grandmother is "3 years MORE than 6 times TONY (y)", thus we can write:

Grandmother is "6y + 3"

Total sum of them both is 87. Thus we can SUM both these expressions and equate to 87. Thus,

y + 6y + 3 = 87

D is the correct choice.

10.

THe total length is "f"

Each piece cut is 3/4

So the number of pieces is the total by each piece, so that is

\frac{f}{\frac{3}{4}}

All these "number of pieces" makes 6 shelves (since he used all), so we equate this expression to "6".   Now we have:

\frac{f}{\frac{3}{4}}=6

That is answer choice B

11 A)

Let Jocelyn's computer's price be "j",

Adrian's is 640, which is 20% LESS THAN Jocelyn's (j), so we can say:

640 is 20% less than "j"

or

"20% less than j" would be:

j - 0.2j = 0.8j

Now, we can write:

640 = 0.8j

11 B)

We can say:

Adrian is 15% more than Corbin

or

A = 0.15C + C

A = 1.15C

[note: let adrian's computer price be A and Corbin's computer price be C]

Also we know

0.8j = Adrian

We can put this in to get:

A = 1.15C

C = A/1.15

C = 0.8j/1.15

THis is an expression for Corbin's computer price in terms of j:

\frac{0.8j}{1.15}

5 0
3 years ago
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