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Nina [5.8K]
3 years ago
5

The ratio of 21 to 27 is equivalent to the ratio of 7 to __?

Mathematics
1 answer:
Ierofanga [76]3 years ago
3 0
If you divide 21 by 7 you get 3 so you divide 27 by 3 to get 9 so the ratio 21 to 27 is equivalent to the ratio of 7 to 9
You might be interested in
A bride and groom both invited guests to their wedding. The bride invited twice as many women as the groom did, and the groom in
n200080 [17]

Answer:

option 1) 50

Step-by-step explanation:

Let m and w denote the men and women respectively.

From the question, if the groom invited w number of women, then bride invited 2w number of women.

Also, if the bride invited m number of men,then the groom invited 2m.

Hence we can write the following maths equation:

w+2m=105.........1

2w+m=135.........2

We multiply eqn(1) by 2 to get eqn(3)

This implies that,

2w+4m=210.......3

We then subtract eqn (2) from eqn(3) to obtain;

3m=75

we divide through by 3

\implies \frac{3m}{3} = 75

\implies m= 25

Substituting the value of m into eqn (1)

to find the value for w

\implies w + 50 = 105

subtracting 50 from both sides.

\implies w + 50  - 50= 105 - 50

\implies w+2(25)=105

\implies w= 55

So we can say the :

bride invited 25 men and 110 women,

groom invited 50 men and 55 women.

6 0
3 years ago
PLS HELP ASAP
Contact [7]

Answers:

Equation is (x+1)^2 + (y+2)^2 = 25

Center is (-1, -2)

Radius = 5

===========================================

Work Shown:

x^2+2x+y^2+4y=20\\\\(x^2+2x)+(y^2+4y)=20\\\\(x^2+2x+1)+(y^2+4y)=20+1\\\\(x^2+2x+1)+(y^2+4y+4)=20+1+4\\\\(x+1)^2 + (y+2)^2 = 25\\\\

center = (h,k) = (-1,-2)

radius = 5

-----------------------------

Explanation:

I grouped up the x and y terms separately. Then I added 1 to both sides to complete the square for the x terms. I cut the 2 from 2x in half, then squared it to get 1. In the next step, I cut the 4 from 4y in half to get 2, which squares to 4. So that's why I added 4 to both sides to complete the square for the y terms.

Each piece is factored using the perfect squares factoring rule which is a^2+2ab+b^2 = (a+b)^2

The last equation is in the form (x-h)^2 + (y-k)^2 = r^2

We can think of x+1 as x - (-1) to show that h = -1

Similarly, y+2 = y-(-2) = y-k to show that k = -2

The center is (h,k) = (-1,-2)

The radius is r = 5 because r^2 = 5^2 = 25 is on the right hand side in the last equation above.

3 0
2 years ago
Question<br><br> Find the sum.<br><br> 1/3(9−6m)+1/4(12m−8)
Umnica [9.8K]
The sum of this is =1+m
3 0
2 years ago
(4x^5 + 3x^2 – x^4) +(6x^2 - 2x^5)
Monica [59]

Answer:

The simplified equation is as follows 2x^5 -x^4 + 9x^2

Step-by-step explanation:

Remove the parentheses around each equation and pair like exponents together

4x^5 - 2x^5 - x^4 + 3x^2 + 6x^2

Then combine the like terms

2x^5 - x^4 + 9x^2

It is in that order due to the proper form being to go from the highest to lowest exponents in an answer

5 0
3 years ago
Read 2 more answers
What is the length of the longer side ?
Alexandra [31]
It’s probably 22 because 5 is on two sides and 11 is on two sides so 11 + 11+ 5+5 = 32
6 0
2 years ago
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