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laila [671]
3 years ago
11

An after-school care facility tries to maintain a 2-to-1 ratio of children to adults. If the facility hired five adults, what is

the maximum number of children that can enroll?
Mathematics
1 answer:
astra-53 [7]3 years ago
3 0

Answer:

10 children

Step-by-step explanation:

If we have a ratio of 2:1 children:adults, then we can find out how many children max can enroll if there are 5 adults.

Our original ratio was 2:1 and now it's x:5, assuming x is the number of children enrolled. We multiply 1 by 5 to get to 5, so we need to multiply 2 by 5 to get the total number of chlidren.

2 × 5 = 10

Hope this helped!

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A company with offices in Anchorage, Alaska wants to lease 10 small planes to fly a group of clients to Nome for a summer fishin
Rama09 [41]

The solutions of the equations of the situation can be:

z = 1 , y = 5, x = 4

z= 2 , y = 3, x = 5

z=3 , y = 1, x = 6

z = 0 , y = 7, x =3

The question can be expressed as a equation

6 x + 8 y + 10 z = 84

also, x + y + z = 10

⇒ x = 10- y - z

Putting it in first equation,

6(10 - y - z ) +8y + 10z = 84

⇒ 60 +2y + 4z = 84

⇒2(y + 2z ) = 14

⇒ y + 2z = 7

Now putting

z = 1 , we get y = 5,

z= 2 , y = 3

z=3 , y = 1

z = 0 , y = 7

So, only 4 possible solutions.

Therefore, there can only be 4 possible solutions for the equations.

"Learn more about linear equation here-

brainly.com/question/28442870 "

#SPJ9

8 0
1 year ago
Please help as soon as possible
lidiya [134]
The slope is 0
Y=0x+3
3 0
3 years ago
Which is bigger 1.7m or 0.9m
VladimirAG [237]
The answer is 1.7m because 0.9 isnt bigger
7 0
2 years ago
Read 2 more answers
Make g the subject of this relation​
zhannawk [14.2K]

Answer:

see explanation

Step-by-step explanation:

Simplify the radical

\frac{U}{\frac{1}{f}+\frac{1}{g}  }

= \frac{U}{\frac{g+f}{fg} }

= \frac{Ufg}{g+f}

Square both sides

T² = \frac{Ufg}{g+f} ( multiply both sides by (g + f) )

T²(g + f) = Ufg ( distribute left side )

T²g + T²f = Ufg ← subtract Ufg from both sides

T²g - Ufg + T²f = 0 ← subtract T²f from both sides

T²g - Ufg = - T²f ← factor out g from each term on the left side

g(T² - Uf) = - T²f ← divide both sides by (T² - Uf)

g = - \frac{T^2f}{T^2-Uf} = \frac{T^2f}{Uf-T^2}

6 0
3 years ago
Solve the proportion to determine the value of x. <br><br> 2x / 5 = x+3 / 3
ale4655 [162]
When you solve a proportion, your first step should be to cross-multiply.

\frac{2x}{5} = \frac{x + 3}{3}

When you cross-multiply, you should get this equation:

(2x)(3) = (x + 3)(5)

Now, solve it using algebra.

(2x)(3) = (x + 3)(5)       Multiply
       6x = 5x + 15         Subtract 5x from both sides
         x = 15

The value of x is 15.
4 0
4 years ago
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