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Valentin [98]
3 years ago
13

At a dinner party, two desserts are being served. Six of the guests choose cheesecake, and eight of the guests choose apple pie.

Modify your diagram f. rom #1 to show that the ratio 6:8 is equivalent to 3:4. Upload your modified diagram AND use complete sentences to explain why it shows that 6:8 and 3:4 are equivalent ratios.
Mathematics
1 answer:
Maslowich3 years ago
6 0

Answer:

When six guests choose cheesecake and eight choose apple pie, the ratio is 6:8. If we use the same prompt but change 6 to 3 and change 8 to 4, the ratio becomes 3:4 with the pie graph looking exactly the same.

6:8 comes out to a total of 14 people

and 3:4 comes out to a total of 7 people

The two ratios are equivalent due to the graphs looking exactly the same as well as that 14 is double of 7.

Step-by-step explanation:

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What are the steps to divide 36.75 by 3?
Nadya [2.5K]

Answer:

12.25

Step-by-step explanation:

(1): "36.75" was replaced by "(3675/100)".

2 Simplify 147/4

3 147 /4 divided by 3

.....

49/4 which equal 12.25000

5 0
3 years ago
If 120% is £48, what is 100%
azamat

Answer:

40

Step-by-step explanation:

If we go by 20's (20% of 100) 100% is 5. Since were dealing with 120% in our case we'll be dividing by 6 <u>to figure out what every 20% is</u>. All we need to do it's divide 48 by 6 and we get the answer 8. So in our case every 20% is equal to 8. now to solve for 100% all we need to do is subtract 8 (20%) from 120% (48) and we find 100% is 40. We could also do 8 x 5. (<em>remember every 1 is 20% in our case</em>) which is also 40. Therefore, your answer is 40.

If you don't quite understand what I'm talking about please let me know and I'll elaborate.. thanks! have a nice day and good luck with your quiz!

6 0
3 years ago
Idk. just say random multiples of 24.
vova2212 [387]

Answer:

Which unit rate is equivalent to 14 miles per gallon? (1 point

Step-by-step explanation:

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6 0
3 years ago
Read 2 more answers
2. Write a quadratic function that has -intercepts (- 3, 0) and (4, 0) and passes through the point (5, 8)
Reptile [31]

Answer:

f(x)=x^2-x-12

Step-by-step explanation:

<u>Quadratic Function</u>

Standard Form of Quadratic Function

The standard representation of a quadratic function is:

f(x)=ax^2+bx+c

where a,b, and c are constants.

When the zeros of f (x1 and x2) are given, it can be written as:

f(x)=a(x-x1)(x-x2)

Where a is a constant called the leading coefficient.

We are given the two roots of f: x1=-3 and x2=4, thus:

f(x)=a(x+3)(x-4)

We also know that f(5)=8, thus:

f(5)=a(5+3)(5-4)=8

Operating:

a(8)(1)=8

Solving:

a=1

The function is:

f(x)=1(x+3)(x-4)

Operating:

\boxed{f(x)=x^2-x-12}

5 0
3 years ago
HELP ASAP FOR BRAINLIEST:
goldenfox [79]

Answer: y = -14/9(x + 4)^2 + 7

Step-by-step explanation:

The given roots of the quadratic function is (-1, -7)

The vertex is at (-4, 7)

The formula is

y = a(x - h)^2 + k

The vertex is (h, k)

Comparing with the given vertex, (-4, 7), h = -4 and k = 7

Substituting into the formula

y = a(x - h)^2 + k, it becomes

y = a(x - - 4)^2 + 7

y = a(x + 4)^2 + 7

From the roots given (-1, -7)

x = -1 and y = -7

Substituting x = -1 and y = -7 into the equation,

y = a(x + 4)^2 + 7, it becomes

-7 = a(-1+4)^2 + 7

-7 = a(3^2 ) + 7

- 7 = 9a + 7

-7-7 = 9a

9a = -14

a = -14/9

Substituting a = - 14/9 into the equation, it becomes

y = -14/9(x + 4)^2 + 7

8 0
3 years ago
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