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3 years ago

40. A catering chef is making a large quantity

Mathematics

1 answer:

ivann1987 [24]3 years ago

6 0

The chef can plan on making 32 servings.

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Find a fraction equivalent to 5/7 whose squared terms add up to 1184.

bogdanovich [222]

The system of equations of two unknowns is formulated and solved.

$\large\displaystyle\text{$\begin{gathered}\sf \bf{ \left\{\begin{matrix} \ \ \ \dfrac{x}{y} = \dfrac{5}{7} \\ x^2+y^2 = 1184 \end{matrix}\right. \ \Longrightarrow \ x=\dfrac{5}{7}y } \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf \bf{ \left (\dfrac{5}{7}y \right )^2+y^2=1184\ \Longrightarrow\ 25y^2+49y^2=58016 } \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf \bf{74y^{2}=58016} \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf \bf{ \ \ \ \ \ \ y^{2}=784 } \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf \bf{ \ \ \ \ \ y=\pm\sqrt{784}=\pm28 } \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf \bf{ x=\dfrac{5}{7}(\pm 28)=\pm 20 } \end{gathered}$}$

The fraction that satisfies the request is $\bf{\dfrac{20}{28}}$ , since in $\bf{\dfrac{-20}{-28}}$ the negative signs are canceled and the first fraction is obtained.

3 0

1 year ago

Leah decided to paint some of the rooms at her 51 room hotel. She needs 1/5 of a can to paint per room.if Leah had 6 cans of pai

enyata [817]

If 1/5 can for 1 (each) room, then:
for 51 rooms, (51*1/5)=10.2 rooms.
Round to nearest whole number since you can't just paint 0.2 of a room: answer = 10

5 0

3 years ago

Read 2 more answers

I’ll give brainliest!!!

Maslowich

14a. =

15b. 2/3 is less than 0.667

16c. 3 7/8 is greater than 3.375

17d. 3/8 is less than 1/2

6 0

2 years ago

What is the value of x?<br><br> Enter your answer, as a decimal, in the box.

MissTica

Triangles MNP & MAB are similar (NP//AB & Angle A= Angle N (correspondent) Same for P & B

We know that MA = 67.2 -3.2 = 35.2
Since Triangles MNP & MAB are similar , then we can write the following ratio:

MN/MA=MP/MB or 67.2/35.2 =81.9/x
& x= 43 m

4 0

2 years ago

It costs $3 to bowl a game and $2 for shoe rental. a. Write an expression for the total cost (in dollars) of $g$ games. Expressi

Semmy [17]

Answer: a. Total cost = 3g+2

b. The total cost of 8 games is $26.

Step-by-step explanation:

Given: Cost to bowl a game = $3

Shoe rental charge = $2 (One -time charge)

Total cost = (Cost to bowl a game) x (Number of games)+ (Shoe rental charge )

Let g= number of games, then the expression to find the total cost will be :

Total cost = 3g+2

To find the total cost of 8 games, put g=8, we get

Total cost = 3(8)+2

= 24+2 = $26

Therefore , the total cost of 8 games is $26.

7 0

2 years ago