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Anestetic [448]
3 years ago
6

The ratio of boys to girls is 40:56 what is the ratio in lowest terms

Mathematics
1 answer:
tiny-mole [99]3 years ago
4 0
The answer is 5:7. 
Hope this helps
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What is the constant of proportionality in the equation 9y = 45x?
Mars2501 [29]
Divide by the coefficient of y.
  y = (45/9)x
  y = 5x

The constant of proportionality is 5.
3 0
3 years ago
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What is the perimeter of a rectangle that is 5.73 feet long and 0.6 feet wide?
sergij07 [2.7K]

Answer:

3.438

Step-by-step explanation:

5.73 × 0.6 = 3.438

3 0
3 years ago
Four different stores have the same watch on sale. The original price and discounts offered by each store are listed below. Rank
vladimir2022 [97]
A D B C ............................
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4 years ago
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Bryan earns $7.50 per hour working at mcdonalds and $6.00 per hour mowing lawns. Last week he worked 40 hours and earned $282. H
scoundrel [369]

Answer:

12 hr. mowing lawns

28 hr. working at Mc Donalds

Step-by-step explanation:

Let t = time mowing lawns

then 40 - t = time working at McDonalds

7,5(40 - t) + 6t = 282

300 - 7.5t + 6t = 282

-1.5t = -18

t = 12 hr. mowing lawns

40 - t = 40 - 12 = 28 hr. working at Mc Donalds

8 0
3 years ago
3. Solve the system using elimination (not substitution or matrices). negative 2 x plus y minus 2 z equals negative 8A N D7 x pl
riadik2000 [5.3K]

Elimination Method

\begin{gathered} -2X+Y-2Z=-8 \\ 7X+Y+Z=-1 \\ 5X+2Y-Z=-9 \end{gathered}

If we multiply the equation 3 by (-1) we obtain this:

\begin{gathered} -2X+Y-2Z=-8 \\ 7X+Y+Z=-1 \\ -5X-2Y+Z=9 \end{gathered}

If we add them we obtain 0, therefore there are infinite solutions. So, let's write it in terms of Z

1. Using the 3rd equation we can obtain X(Y,Z)

\begin{gathered} 5X=-9-2Y+Z \\ X=\frac{-9-2Y+Z}{5} \\  \end{gathered}

2. We can replace this value of X in the 1st and 2nd equations

\begin{gathered} -2\cdot(\frac{-9-2Y+Z}{5})+Y-2Z=-8 \\ 7\cdot(\frac{-9-2Y+Z}{5})+Y+Z=-1 \end{gathered}

3. If we simplify:

\begin{gathered} \frac{-9Y+12Z-63}{5}=-1 \\ \frac{9Y-12Z+18}{5}=-8 \end{gathered}

4. We can obtain Y from this two equations:

\begin{gathered} Y=-\frac{-12Z+58}{9} \\  \end{gathered}

5. Now, we need to obtain X(Z). We can replace Y in X(Y,Z)

\begin{gathered} X=\frac{-9-2Y+Z}{5} \\ X=\frac{-9-2(-\frac{-12Z+58}{9})+Z}{5} \end{gathered}

6. If we simplify, we obtain:

X=\frac{-3Z+7}{9}

7. In conclusion, we obtain that

(X,Y,Z) =

(\frac{-3Z+7}{9},-\frac{-12Z+58}{9},Z)

8 0
1 year ago
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