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shusha [124]
3 years ago
11

Do the ratios 3:2 and 54:10 form a proportion

Mathematics
1 answer:
Bas_tet [7]3 years ago
5 0

Answer:

No.

Step-by-step explanation:

3/2=1.5 and 54/10=5.4.

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A group of friends went out for dinner and decided to split the cost of the bill equally. If each person contributed $32, the fr
lianna [129]

Answer:

The number of friends that went out for dinner is 8

And their bill is $238

Step-by-step explanation:

Let's assume that the number of friends that went out for dinner to be x

And the bill for the dinner to be y

If each person contributed $32 and paid off the bill,they will have a balance of $18

32x - 18 = y_____equation 1

If each person contributed $35 and paid off the bill and also 15% tip,they will have a balance of $6.30

35x - 6.3 = y + (15% of y)

35x - 6.3 = y + (3y/20)

Open up the bracket

35x - 6.3 =(20y + 3y)/20

700x - 126 = 23y______equation 2

From equation 1,y = 32x - 18

Put the above in equation 2 and we have

700x - 126 = 23(32x -18)

700x - 126 = 736x - 414

collect like terms

36x = 288

x = 288/36

x = 8

Remember that equation 1 says that y = 32x - 18 and we now know that x = 8 .

Substitute and we have

(32 × 8) - 18

y = 238

The number of friends that went out for dinner is 8

And their bill is $238

3 0
3 years ago
Find f(7) for<br> the function<br> below.<br> F(x)=1/2 x 2^x
Anastasy [175]

64

Step-by-step explanation:

\begin{aligned}\rm f(x)&=\rm\frac{1}{2}\times 2^x\\\rm f(7)&=2^{-1}\times 2^7\\&=2^{-1+7}\\&=2^{7-1}\\&=2^6\\&=2^6\\&=\bf 64\end{aligned}

8 0
3 years ago
Which box will hold more?
o-na [289]

Answer:

box X with 126 sq. cm.    i hope this helps   :)

Step-by-step explanation:

okay so we have box X which is 6 * 3 * 7 = 126

then we have box Y which is 11 * 2 * 5 = 110

so box X will hold more

6 0
3 years ago
Ramon plays a game which his older sister he first gains 5 points then loses 8 points and finally gains 10 points what is his fi
vladimir1956 [14]

Answer:

7 points

Step-by-step explanation:

started out w/ 5 points, then loses 8

5 - 8 = -3

gains 10 points

-3 + 10 = 7

3 0
3 years ago
Solve this inequality.<br> 8x + 6 x 54
sergeinik [125]
8x+324 is the answer, all you have to do is multiple 6 times 54
4 0
4 years ago
Read 2 more answers
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