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2 years ago

13

The miller’s are comparing babysitting services for their two children. the babysitters block charges a rate of $15 an hour per

child plus an initial fee of $25 per household. super sitters charges a flat rate of $20 an hour per child. for …. hours of service both babysitting services would cost the same

2 answers:

Mandarinka [93]2 years ago

7 0

Answer:

5 hours

Step-by-step explanation:

15 times 5 is 75 plus 25 is 100

20 times 5 is also 100

jonny [76]2 years ago

5 0

Answer:

2.5 hours

Step-by-step explanation:

BB = 25 + (15x)2

SS = (20x)2

25 + 30x = 40x

10x = 25

x = 2.5

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So I don't understand how V = lwh (h).... the topic is literal equations.

Kruka [31]

1) Solving in terms of h

V = lwh <em>Divide both sides by h</em>

<em />

$\begin{gathered} V\text{ = lwh} \\ \frac{V}{h}=\frac{lwh}{h} \\ \frac{V}{h}\text{ =}lw\text{ Cross multiply} \\ hlw=V\text{ Divide both sides by lw} \\ \frac{hlw}{lw}=\text{ }\frac{V}{lw} \\ h\text{ = }\frac{V}{lw} \end{gathered}$

So rearranging that equation we can find h, in terms of V, and l and w.

If we want to solve in terms of l, or w, we'll proceed similarly to isolate the variable we want on the left side, and the other terms on the right side.

6 0

1 year ago

What is the product of all constants $k$ such that the quadratic $x^2 + kx +15$ can be factored in the form $(x+a)(x+b)$, where

Setler79 [48]

Answer:

$k=-16,k=-8,k=8,k=16$

Step-by-step explanation:

We are given quadratic equations as

$x^2+kx+15$

and it can be factored as

$=(x+a)(x+b)$

now, we can multiply factor term

$(x+a)(x+b)=x^2+(a+b)x+ab$

now, we can compare

$x^2+(a+b)x+ab=x^2+kx+15$

so, we get

$k=a+b$

$ab=15$

we are given that

'a' and 'b' are integers

so, we can find all possible factors

$15=(-1\times -15),(1\times 15)$

$15=(-3\times -5),(3\times 5)$

so, we can find k

At $(-1\times -15)$ :

$k=a+b$

we can plug values

$k=-1-15$

$k=-16$

At $(1\times 15)$ :

$k=a+b$

we can plug values

$k=1+15$

$k=16$

At $(-3\times -5)$ :

$k=a+b$

we can plug values

$k=-3-5$

$k=-8$

At $(3\times 5)$ :

$k=a+b$

we can plug values

$k=3+5$

$k=8$

So, values of k are

$k=-16,k=-8,k=8,k=16$

6 0

3 years ago

Is this relationship linear, exponential, or neither.<br><br> x -12 -6 0 6<br> y 9 12 20 40

Diano4ka-milaya [45]

Answer:

This appears to be exponential based on the plot of these points

Step-by-step explanation:

See image

5 0

2 years ago

A cylindrical can of soup has a height of 4 inches and a radius of 2 inches. What is the volume of the can? Round to the nearest

nordsb [41]

Answer:

50.29 cubic inches.

Step-by-step explanation:

Volume = 50.28571428571424

5 0

3 years ago

Read 2 more answers

What is 5m2- 15m- 200

vitfil [10]

Answer:

5(m + 5) (m - 8)

Step-by-step explanation:

5m2- 15m- 200

Start by pulling 5 out.

5(m^2 - 3m - 40)

We consider all factors of 40

1 40

2 20

4 10

5 8

Based on the middle term we know that 5 and 8 are our best option.

5(m 5) (m 8)

We know the signs have to be one + and one - because a - * - = + and + * + = +

Since 5 - 8 would give us -3 we know that our answer is

5(m + 5) (m - 8)

3 0

3 years ago