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grin007 [14]
3 years ago
11

(25 points) Can someone please solve this I just need to see how its solved to understand

Mathematics
1 answer:
aleksley [76]3 years ago
4 0

x = total amount of students in 8th Grade.

we know only one-thrid of the class went, so (1/3)x or x/3 went.

we also know 5 coaches went too, and that the total amount of that is 41.

\bf \stackrel{\textit{one third of all students}}{\cfrac{1}{3}x}+\stackrel{\textit{coaches}}{5}=\stackrel{\textit{total}}{41}\implies \cfrac{x}{3}+5=41\implies \cfrac{x}{3}=41-5 \\\\\\ \cfrac{x}{3}=36\implies x=3(36)\implies x=108

now, to verify, well, what do you get for (108/3) + 5?

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Jeff is baking a cake. The recipe says that he has to mix 32 grams of vanilla powder to the flour.
sergeinik [125]

If 1 cup of that particular vanilla powder has a mass of 128 grams, then \dfrac{2}{3} of a cup of vanilla powder has a mass of

\dfrac{2}{3} \cdot 128=\dfrac{256}{3}=85\dfrac{1}{3} grams.

Since

85\dfrac{1}{3}-32=53\dfrac{1}{3} grams and \dfrac{5}{12} of a cup of vanilla powder is

\dfrac{5}{12}\cdot 128=\dfrac{5\cdot 128}{12}=\dfrac{5\cdot 32}{3}=\dfrac{160}{3}=53\dfrac{1}{3},

then correct answer is that he went over by  \dfrac{5}{12}  of a cup.

Answer: correct choice is B.


3 0
3 years ago
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V=(4/3) (3.14) (3^3)
marysya [2.9K]

Answer:

Step-by-step explanation:

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8 0
3 years ago
Using substitution to solve the system below, what expression should be substituted into the first equation? 2x-4y=-4 and x+2y=8
inna [77]

Answer:

Given the system of equation:

2x-4y=-4                    ......[1]

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x = 8-2y                ......[3]

Substitute equation [3] into [1] to eliminate x, and solve for y;

2(8-2y)-4y = -4

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16-4y -4y = -4

Combine like terms;

16 - 8y = -4

Add 4 to both sides we have;

20 - 8y = 0

Add 8y to both sides we have;

20 = 8y

Divide 8 to both sides we have;

y = 2.5

Substitute the y-value in [3] we have;

x = 8-2(2.5)

x = 8 - 5 = 3

Therefore, the  expression should be substituted into the first equation is, x = 8-2y  and also the value of x = 3 and y = 2.5

5 0
3 years ago
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B. 18.37

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