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4 years ago

9

Sandy charges each family that she babysits a flat fee of 10$ for the night and an extra 5$ per child kimmi charges 25$ per nigh

t no matter how many children a family has
write a two step equation that would compare what the two girls charge and find when their fees are the same

1 answer:

Rudiy274 years ago

5 0

Sandy's cost equation is y = 5x + 10 where y = cost and x = number of children.
Kimmi's cost equation is y = 25 where y = cost.
The fees are the same when x = 3 in other words when Sandy babysits 3 children.
That is found by solving 5x + 10 = 25 for x.
Subtract 10 from each side: 5x = 15
Divide by 5 on both sides: x = 3

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Sonja [21]

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2 years ago

If p(x) = X squared -1 and q(x) = 5(x-1), which expression is equivalent to (p-q)(x)

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3 years ago

Im giving 100 Points to anyone who could solve this for me please.

myrzilka [38]

Answer:

AB = 27.2

BC = 33.5

AC = 50.4

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Step-by-step explanation:

<u>Trigonometric ratios</u>

$\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}$

where:

$\theta$ is the angle
O is the side opposite the angle
A is the side adjacent the angle
H is the hypotenuse (the side opposite the right angle)

$\implies \sf \cos(30^{\circ})=\dfrac{29}{BC}$

$\implies \sf BC=\dfrac{29}{\cos(30^{\circ})}$

$\implies \sf BC=\dfrac{58\sqrt{3}}{3}=33.5\:(nearest\:tenth)$

$\implies \sf \tan(30^{\circ})=\dfrac{BD}{29}$

$\implies \sf BD=29\tan(30^{\circ})$

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$\implies \sf AB=\dfrac{\dfrac{29\sqrt{3}}{3}}{\sin(38^{\circ})}$

$\implies \sf AB=27.2\:(nearest\:tenth)$

$\implies \sf \tan(38^{\circ})=\dfrac{BD}{AD}$

$\implies \sf AD=\dfrac{\dfrac{29\sqrt{3}}{3}}{\tan(38^{\circ})}$

$\implies \sf AD=21.4\:(nearest\:tenth)$

$\implies \sf AC=AD+DC=21.4+29=50.4$

The interior angles of a triangle sum to 180°

⇒ ∠A + 52° + 90° = 180°

⇒ ∠A = 180° - 90° - 52°

⇒ ∠A = 38°

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8 0

2 years ago

When you graduate college at the age of 20, you want to start saving up for retirement. If your investment pays a fixed APR of 9

Dominik [7]

<u>Answer-</u>

<em>You need to deposit $337.62 each month, to reach this goal.</em>

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We know that,

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Where,

P = periodic payment

r = rate per period

n = number of period

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Putting the values,

$\Rightarrow 2500000=P[\frac{(1+\frac{9}{1200})^{540}-1}{{\frac{9}{1200}}}]$

$\Rightarrow P=\frac{2500000}{[\frac{(1+\frac{9}{1200})^{540}-1}{{\frac{9}{1200}}}]}$

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3 years ago

Read 2 more answers

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alexandr402 [8]

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1. Descompose 9 and 18 into their prime factors.

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Then, in this case you get:

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Therefore, the greatest number of servings Abraham can create is:

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6 0

3 years ago