Kelli is searching for a new daycare center for her child. At Lori's Local Daycare, there is a ratio of 2 caretakers for every 7 children. If there are 189 total children, then how many people are at the daycare facility?

Answer:

3x - 1 = 71

3x = 72

x = 24

Step-by-step explanation:

Answer:

Step-by-step explanation:

Simplifying

3x + -1 = 71

Reorder the terms:

-1 + 3x = 71

Solving

-1 + 3x = 71

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '1' to each side of the equation.

-1 + 1 + 3x = 71 + 1

Combine like terms: -1 + 1 = 0

0 + 3x = 71 + 1

3x = 71 + 1

Combine like terms: 71 + 1 = 72

3x = 72

Divide each side by '3'.

x = 24

Simplifying

x = 24

Answer:

$14.98

Step-by-step explanation:

The store bought the pair of shoes for $42.80.

If the store sells the pair of shoes at a 35% markup, then it is selling it at:

([tex]\frac{35}{100}[/tex] × 42.80 ) + 42.80 = 14.98 + 42.80 = $ 57.78

To calculate how much money the store is making from selling this pair of shoes:

57.78 - 42.80 = $14.98

The store would be making $14.98 for selling one pair of shoes to a customer.

Answer:

steps below

Step-by-step explanation:

3x² + 9x + 4x + 12 = 3x² + 13x +12 = (x+3)(3x+4)

if 3x² + 9x + 4x + 12 = 0    x = -3 or x = - 4/3

Answer:

Solution for 17=w-4 equation:

17=w-4

We simplify the equation to the form, which is simple to understand

17=w-4

We move all terms containing w to the left and all other terms to the right.

-1w=-4-17

We simplify the left and right sides of the equation.

-1w=-21

We divide both sides of the equation by -01 to get w.

w=21

Step-by-step explanation:

Answer:

68

Step-by-step explanation:

17/1 = w/4

w.1=17.4

w= 68

The ratio is 24:1000 or 0.024.

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.

Given:

72 millimeters to 3 meters

Now, Convert 3 meter to millimeter

3 meter= 3 x 1000

             = 3000 mm

Then, ratio is

= 72 / 3000

= 24/1000

= 0.024

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Answer:

-2,-1,0

Step-by-step explanation:

the integers between -3 and 1, not including -3 and 1 are

-2,-1,0

Answer:

Length = 16 feet, width = 12 feet

Step-by-step explanation:

The length is 8 cm. So divide this by 2 to find out how many 2 cm are in 8 cm. You get 4. Multiply 4 x 4 (ft) to find out the real length. This means the length is 16 feet.

Do the same steps with the width. The real length is 12 feet.

Hope it helps!

Answer

First off, nice 100 point scam, don't do it again, because you could get warned or even worse banned, second off Have a great day!

Length = 16 feet, width = 12 feet

Step-by-step explanation:

The length is 8 cm. So divide this by 2 to find out how many 2 cm are in 8 cm. You get 4. Multiply 4 x 4 (ft) to find out the real length. This means the length is 16 feet.

Do the same steps with the width. The real length is 12 feet.

Hope it helps!

Step-by-step explanation:

You can use the given function to evaluate the expected sales at year 2009 and 2015 and use the net difference divided by time as the average rate of change.

The average rate of change in expected sales from 2009 to 2015 is given by $12,059,941

Let the thing that is changing be y and the thing with which the rate is being compared is x, then we have the average rate of change of y as x changes as:

[tex]\text{Average rate} = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]

where when

[tex]x = x_1, y = y_1\\and \\x = x_2, y = y_2[/tex]

Since the sales is given by the function [tex]g(t) = t^3 - 2t^2 + 4t - 7[/tex], and the inputs are 2009 and 2015, thus, evaluating g(t) (sales) at those values of t, we get:

[tex]g(2009) = 8023737057[/tex] (replaced 2009 with t and calculated)

[tex]g(2015) = 8096096703[/tex] (replaced 2015 with t and calculated)

Using these values to calculate the average rate

[tex]\text{average rate} = \dfrac{g(2015) - g(2009)}{2015 - 2009} = \dfrac{72359646}{6} = 12059941\\[/tex]

Thus,

The average rate of change in expected sales from 2009 to 2015 is given by $12,059,941

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Answer:

QP = 5

Step-by-step explanation:

since QRST is a rectangle, and QRST intersect at P, then QTS and QRS are right  triangles.

because <T is a right angle, line TR passes through the midpoint of line QS, therefore 2(QP) = QS

10/2 = 5

By the property of diagonal in a rectangle are equal and bisect each other measure of QP is 5 units.

We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.

Given, QRST is a rectangle, QS and RT are the diagonals of the rectangle

QRST.

By properties of rectangles, we know a rectangle is a parallelogram in which opposite sides are equal and diagonals bisect each other.

Given, QS is 10 units and QS = 2QP.

10 = 2QP.

QP = 10/2.

QP = 5.

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Answer:

45%

Step-by-step explanation:

Given data

Last year, the company sold a total of 5,340 ovens

This year, they sold 7,743 ovens

Percent increase=   final-initial/initial*100

substitute

Percent increase=  7,743-5,340/5,340*100

Percent increase= 2403/5,340*100

Percent increase=0.45*100

Percent increase=45%

Hence the increase is 45%

Answer:

2 Gallons

Step-by-step explanation:

20.5ft x 16.4ft = 336.2

336.2 divided by 200= 168 gallons

Since you can not buy 1.68 gallons you will have to buy 2 galllons instead.

Answer:

C

Step-by-step explanation:

I took the test

Step-by-step explanation:

step 1. if r = 2, then its area = (pi)r^2 = (pi)(4) = 4pi

step 2. if r = 3 then its area = (pi)r^2 = (pi)(9) = 9pi

step 3. so A is the area of a circle half the sum of our circles with r = 2 and r = 3.

step 4. A = (4pi + 9pi)/2 = 13pi/2 =6.5(pi).

Answer: 200,000,000 or 2 million

Step-by-step explanation:

Answer:

2 million LOL

Step-by-step explanation:

Step-by-step explanation:

x+ 172= 180-x

x+ 172= 180-x2x= 8

x+ 172= 180-x2x= 8x= 4°

180-4= 176

the angle is 4° and the measure of the other angle is 176°

Answer:

8

Step-by-step explanation:

Answer:

4x is the greatest common factor of those two.

Step-by-step explanation:

(-16x + 12x)

4x (-4 + 3)

4x is the GCF

Why you may ask is 4x the GCF because when you divide 4x from both you're left with -4 + 3...... you can't take out the negative from the 16 because when you check your work negative 4x times 3 gives you negative 12x which isn't the equation you started with. So positive 4x times 3 give you 12x.

Hopes this helps!!!

Answer:

none of them

Step-by-step explanation:

in order for them to be triangle lengths the two shorter size added together have to be greater than the longest side and in each answer choice if you add the two shorter sides none of them are greater than the longer side if that makes sense

Answer: what you need to find is the one where the two lowest numbers add up to be bigger than the biggest number. For example, if it was 3,7,5 then those could be right because 5+3=8 and 8 is bigger than 7. It is supposed to be that any two added is bigger than the third, but it's mist important that the smaller numbers equal more than the third

Step-by-step explanation:

Answer: 2d³+11d²+19d+10

Step-by-step explanation:

Use the FOIl method to simplify this

-------------------------------------------------------------------

 (5+2d)(2+3d+d²)

=10+15d+5d²+4d+6d²+2d³ ⇔ Expand using FOIL

=2d³+(5d²+6d²)+(4d+15d)+10 ⇔ Put like terms together

=2d³+11d²+19d+10 ⇔ Combine like terms

Hope this helps!! :)

Please let me know if you have any questions

Answer: 2d³+11d²+19d+10

Step-by-step explanation: first we rearrange terms (5+2d)(2+3d+d²) into (2d + 5)(2 + 3d + d^2) then we do Rearrange terms again and then we Distribute and combine like terms and get our answer.

Answer:

22 degrees

Step-by-step explanation:

so if we take this here we know for sure that DZP is equal to 90 degrees

so DZP is split by QZD and QZP

so we take the 90 degrees we know for sure and then we take the two angle measurements we know

and we make this equation

9x + 5 + 3x + 1 = 90

and then we simplify this and it leaves us with

12x + 6 = 90

12x = 84

x = 7

so now that we have what x equals we plug that into QZP in order to find the actual measurement of this angle

3x + 1

3 (7) + 1

21 + 1

leaving us with our answer 22 degrees

and if you want to double check this answer just do the same thing we just did with QZD and plug in x into the equation and then add our answer 22 and the other answer you get for QZD and if that adds up to 90 then that is correct!

hope this helps!

Answer:

D. Kari added the compatible numbers –12 and 4.

Step-by-step explanation:

Kari estimated the quotient of Negative 12 and one-fifth divided by 4 and two-fifths to be –8. Which best describes her error?

-12 1/5 ÷ 4 2/5 = -8

A. Kari multiplied the compatible numbers –12 and 4.

-12 * 4 = 48

A. Is not correct

B. Kari found that the quotient of a negative number and a positive number is negative.

Example:

-a/a = -1

The rule is right

C. Kari found that the quotient of a positive number and a negative number is positive.

a/-a = -1

The rule is wrong

D. Kari added the compatible numbers –12 and 4.

= -12 + 4

= -8

Therefore, Kari error was that she added the compatible numbers –12 and 4.

Answer:

No, I think and yes.

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

no cap

Answer:

x = 21

Step-by-step explanation:

5x + 18 = 7x - 24

=> 5x - 7x = - 24 - 18

=> -2x = - 42

=> x = -42 / -2

=> x = 21

Hope it helps :)

Please mark my answer as the brainliest

Answer:

The equation is -3n-5=-2. The answer is -1.

Answer:

the answer is 85° because all angles in a triangle add up to 180

so u add them both up, subtract from 180 n u get 85

Answer:

C because a triangle angles must add up to 180