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Paladinen [302]
2 years ago
8

29" id="TexFormula1" title="\frac{1}{2} (5x - 9 ) = 2 (\frac{1}{3} + 6 )" alt="\frac{1}{2} (5x - 9 ) = 2 (\frac{1}{3} + 6 )" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Tatiana [17]2 years ago
7 0

Answer: 103/15

Step-by-step explanation:

We can simplify the right-hand side to be 2 \left(\frac{1}{3}+6 \right)=2 \left(\frac{19}{3} \right)=\frac{38}{3}.

This means we need to solve:

\frac{1}{2}(5x-9)=\frac{38}{3}\\5x-9=\frac{76}{3}\\5x=\frac{103}{3}\\x=\boxed{\frac{103}{15}}

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The sum of 2 numbers is 23. seven less than five times the smaller is equal to the largrr
kirill115 [55]
The answer is 5 and 18. This is because 5 times five is 25. 25 minus 7 is 18.
4 0
3 years ago
Read 2 more answers
Molly took part in a math quiz and scored 55 points on 30 questions. Of the questions, there were 3-point word problems, 2-point
seropon [69]

Answer:

3\ point\ word = 5

2\ point\ word = 15

1\ point\ word = 10

Step-by-step explanation:

Given

Represent

3-point word with T;

2-point with U and

1-point with V

U = 5 + V --- (1)

If total questions is 30, then

T + U + V = 30 --- (2)

If total points is 55, then

3T + 2U + V = 55 --- (3)

Substitute 5 + V for U in (2) and (3)

T + U + V = 30 --- (2)

T + 5 + V + V = 30

T + 5 + 2V = 30

T + 2V = 25 ---- (4)

3T + 2U + V = 55 --- (3)

3T + 2(5 + V) + V = 55

3T + 10 + 2V + V = 55

3T + 10 + 3V = 55

3T  + 3V = 55 - 10

3T  + 3V = 45

Divide through by 3

T + V = 15 ---- (5)

Subtract (5) from (4)

(T + 2V = 25 )- (T + V = 15)

T - T + 2V - V = 25 - 15

V = 10

Recall that:

U = 5 + V

U = 5 + 10

U = 15

Substitute 10 for V in (5)

T + V = 15

T + 10 = 15

T = 5

3 0
3 years ago
What is the volume of this figure?
umka2103 [35]

Answer:216

Step-by-step explanation:

5 0
2 years ago
suppose Tomas buys a total of 30 baseball and football cards in week 5 . how many of each would he have to buy to keep the same
Charra [1.4K]

Answer:

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Step-by-step explanation:

The only relationship shown in the table is in week 1, where the ratio of baseball to football cards is ...

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In week 1, the total of these numbers is 15. You want the total in week 5 to be 30, double the total in week 1. So, Thomas needs to purchase double the numbers he purchased in week 1:

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_____

<em>Comment on the attachment</em>

This table came from another question you posted, a question with no content other than the table. The blue numbers are blanks in the original table that have been filled in so as to keep the same 3:2 proportion in each week. They appear to have no bearing on this question.

7 0
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Y=3x-15 y intercept<br><br> What would the y intercept be for the equation: y=3x-15
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Answer:

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Step-by-step explanation:

it's the last number

6 0
3 years ago
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