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zhuklara [117]
3 years ago
10

Melissa the trainer has two solo workout plans that she offers her clients: Plan A and Plan B. Each client does either one or th

e other (not both). On Wednesday there were 5 clients who did Plan A and 3 who did Plan B. On Thursday there were 2 clients who did Plan A and 12 who did Plan B. Melissa trained her Wednesday clients for a total of 7 hours and her Thursday clients for a total of 19 hours. How long does each of the workout plans last? LengthofeachPlanAworkout:hour(s) LengthofeachPlanBworkout:hour(s)
Mathematics
1 answer:
Vikentia [17]3 years ago
6 0

Let Length of each Plan A workout be a

and Length of each Plan B workout be $b$

on Wednesday,

$5a+3b=7$

$2a+12b=19$

multiply equation one by $4$ and subtract equation two from it

to get,

$18a=9$ or $a=\frac12$

substitute $a$ in eq 2. to get $b$, $12b=18\implies b=\frac32$

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Los dueños de un restaurante cultivan sus propios
hammer [34]

Answer:

Quedan 2.083 m^3 de agua en el reservorio.

Equivalen a 2083 litros.

Step-by-step explanation:

Los dueños del restaurante tienen un reservorio de agua cuyo volumen es de 6.25 m^3.

Si han utilizado 2/3 del reservorio, esto implica que aún quedan en el reservorio una tercera parte del volumen original (1/3).

Entonces, la cantidad de metros cúbicos (m^3) de agua que quedan en el reservorio se puede calcular como:

V=(1/3)\cdot V_0=(1/3)\cdot6.25\,m^3=2.083\,m^3

Este valor equivale a un volumen en litros de:

V=2.083\,m^3\cdot \dfrac{1,000\,l}{1m^3}=2,083\,l

7 0
2 years ago
What is the value of X
jenyasd209 [6]

Answer:

The letter "x" is often used in algebra to mean a value that is not yet known.

Step-by-step explanation:

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2 years ago
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ANSWER ASAP ILL MARK BRAINLIEST!!!
KonstantinChe [14]

Answer:

1/4 , -17/4)   (0,-4)

Step-by-step explanation:

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2 years ago
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How do I solve to get the answer for: 2t + 8 ≥ −4(t + 1)
Rzqust [24]
2t + 8 ≥ -4t - 4
2t+4t ≥ -8-4
6t ≥-12
t ≥ -12/6
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4 0
2 years ago
The ratio of roosters to chickens is 2 to 8. If there are 5 roosters, how many chickens are there?
Aloiza [94]
Roosters to chickens is 2 to 8

That means where there are 2 roosters, there are 8 chickens.

Simplify the ratio 2:8
The ratio can be simplified to 1:4

So, for 1 rooster, there are 4 chickens.

Now, the question says that if there are 5 roosters, how many chickens will there be?

1 rooster to 4 chickens
5 roosters to ? chickens

We went from 1 rooster to 5 rooster. We multiplied by 5.
To find out how many chickens there are for 5 roosters, multiply 4 chickens by 5.

4 * 5 = 20

Where there are 5 roosters, there will be 20 chickens.

Another way to solve is as follows:

\frac{2}{8} =\frac{5}{x}\\\\\sf{Cross~multiply}\\\\2x = 5\times 8\\\\2x = 40\\\\x = 20\\\\\boxed{\bf{x=20}}

Your final answer is 20 chickens.<span />
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3 years ago
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