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jolli1 [7]
3 years ago
11

The residence of a city voted on whether to raise property taxes the ratio of yes votes to no votes was 7 to 4 if there were 367

2 no votes what was the total number of votes
Mathematics
1 answer:
Tresset [83]3 years ago
5 0

Answer: 10,098 votes

Step-by-step explanation:

The ratio is 7 : 4 which means that for every 7 yes votes, there were 4 no votes.

To find the total votes, add the ratios:

= 7 + 4

= 11

4/11 are the no votes out of the total. Assuming the total is x, the formula is:

4/11x = 3,672

x = 3,672 / 4/11

x = 10,098 votes

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Bobby makes trail mix for his hiking group. He mixes 1 and one eighth pounds of​ peanuts, 12 ounces of​ raisins, 11 ounces of​ w
KiRa [710]

Answer:

If he divide the trail mix among 8 hikers equally each will get 48/8 = 6 ounces.

Step-by-step explanation:

He makes a trail mix . He mixed 1 1/8 pounds of peanuts , 12 ounces of raisins, 11 ounces of walnuts and 7 ounces of pretzels. Notice the weight units are not equal to we have to convert the pounds to ounces so all the weight will be in ounces.

1 pound  = 16 ounces

1 1/8 pounds = ? ounces

cross multiply

1 1/8 × 16

9/8 × 16 = 18 ounces

Therefore,

His trail mix are

18 ounces of peanuts

12 ounces of raisins

11 ounces of walnuts

7 ounces of pretzels

The total weight = 18 + 12 + 11 + 7 = 48 ounces

Weight of the trail mix = 48 ounces

If he divide the trail mix among 8 hikers equally each will get 48/8 = 6 ounces.

4 0
3 years ago
Please help I'm lost.
vova2212 [387]

Part 1: Answer:

(x+1)(x+1)(x-6) = x^3 - 4x^2 - 11x - 6

Step-by-step explanation:

To make r a root, include (x-r) as a factor. (-1+1)(-1+1)(-1-6) is zero even though (-1-6) isn't.

(6+1)(6+1)(6-6) is zero.


Part 2 Answer:

Standard form: y = -x^4 + 12

Degree 4

left end goes down, right end goes down.

Step by step: apply the definitions of standard form, polynomial degree, and "end behavior". In other words, read the textbook.


Part 3: Answer: x = 3, x = 8

Step by step:

x^2-11x = -24

x^2-11x+24 = 0

(x-3)(x-8) = 0

x = 3 or x = 8


Part 4a Answer:

quotient 2x^2 + x - 3

remainder 1


Step by step:

2x^2 + x - 3

___________________

x-4 ) 2x^3 - 7x^2 - 7x + 13

2x^3 - 8x^2

__________

0 + x^2 - 7x + 13

x^2 - 4x

____________

0 - 3x + 13

- 3x + 12

______

1


Part 4b answer:

quotient 2x^2 - 6x + 2

remainder -20


Step by step: you have to know exactly what you are doing. Refer to textbook or Wikipedia.


dividend 2x^3 +14x^2 - 58x

divisor x+10

leading coefficient of divisor must be 1

write coefficients of dividend at top

write coefficients of dividend at left


| 2 14 -58 0

-10 | -20 60 -20

___________

| 2 -6 2 -20

Coefficients of quotient are 2 -6 2

Remainder is -20

quotient = 2x^2 - 6x + 2



7 0
3 years ago
Which expression shows the results of applying the distributive property to 3 (1/5x- 1/7)
marshall27 [118]

The first option: (3/5)x - 3/6

3 0
2 years ago
Read 2 more answers
3. In the expression 362 + 6, what will be the place value of the first digit of the quotient?
Hunter-Best [27]

Answer:

B. It will be the tens place because 6 is greater than 3.

Step-by-step explanation:

Since the question said "quotient," then I believe we have 362 ÷ 6 and not "362 + 6."

If we work on the quotient we have

60\frac{1}{3}

Obviously, the first digit in the quotient is 6 and it takes the place of tens.

Looking at the options, option B fits the most because 6 is actually greater than 3.

Therefore, the answer is option B, It will be the tens place because 6 is greater than 3.

4 0
3 years ago
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