A candle maker is ordering wax. Each small candle uses 12 ounces of wax. Each large candle uses 18 ounces of wax. The candle maker wants to make 42 small candles and 38 large candles.

Which answer is the most reasonable estimate of the total amount of wax needed?


700 ounces because 10 × 40 + 10 × 30 = 700

800 ouces because 10 × 20 + 20 × 30 = 800

1,200 ounces because 10 × 40 + 20 × 40 = 1,200

1,800 ounces because 10 × 20 + 40 × 40 = 1,800

Answer

2. 10  10 x 4=40  10+40=50

3. 49  3 x 49=147

Step-by-step explanation: number 1 i'm not sure

Answer:

11/20

Step-by-step explanation:

P(even #) = 1/2

P(3) = 1/20

add both probabilities: 10/20 + 1/20 = 11/20

Answer:

beeebooobeeeeeboooooobeeeeebooooooo

Step-by-step explanation:

option a

Answer:

See answers below.

Step-by-step explanation:

Large Rectangle:  length x width = (x + 3)(x - 4) =

                                        x² - 4x + 3x - 12

                                           x² - x - 12

Smaller Rectangle:  length x width = (x)(3) = 3x

Shaded Region: shaded area =  lg. rectangle minus small rectangle

                             A = (x² - x - 12) - 3x  

                             A = x² - 4x - 12

Solve for x, if shaded reion's area is 48 square units:      

                          48 = x² - 4x - 12

                                  x² - 4x - 12 -48 = 0

                                  x² - 4x - 60 = 0

                                  (x - 10)(x + 6) = 0

                                   x - 10 = 0   or   x + 6 = 0

                                   x = 10    or    x = -6

                                               But x represents a length, so x cannot be -6.

                                  x = 10

Answer:

Step-by-step explanation:

x+y=10

x=10-y

x=10-5

x=5

3y= -3x+30

3(10-y)= -3(10-y)+30

30-3y= -30+3y+30

30+30-30=6y

30=6y

y=5

Answer:

Flag = 46

Shamrock = 46

Hat = 27

Accordion = 198

Step-by-step explanation:

To keep things simple, I'll denote the flag with f, the shamrock with s, the hat with h and the accordion with a.

The second equation tells us that f/s is 1. When you divide something by something and get 1, that means they're equal (eg, 2÷2=1, 3÷3=1 etc). That means f=s.

The second equation tells us f+s+s=138, but since f=s, this basically means 3f=138. Dividing both sides by three, we find out f=46 and by extension, s=46.

The third equation tells us s+h+h=100. We know s so we can write this as 46+2h=100. Take 46 form both sides to get 2h=54. Divide both sides by 2, we find out h=27.

The fourth equation tells us a=4f+14. Sub in our value for f and this is a=(4x46)+14. Solve this to get a=184+14, a=198.

Answer:

1.5 % is same as 1.50

explanation:

because 1.5 means that the equipment used to measure the number could not measure .It's equal, 1.50 is the same thing just with an added zero.

Answer:

256 ft

Step-by-step explanation:

51+51= 102

77+77= 154

154+102=256

Answer:

P=2(l+w)=2·(51+77)=256ft

Step-by-step explanation:

The answer will be 256ft

Answer:3.5

Step-by-step explanation:3+1/2= 3+ .50 which is equal in 1/2 so 3+ 1/2= 3.5

Step-by-step explanation:

By taking LCM of 1,2 we will get 2

So,

6/2+1/2=7/2=3.5 Answer

hope it helps

Answer:

B. 53.8%

Step-by-step explanation:

Hope this help's. ヾ(≧▽≦*)o

Answer:

-4

Step-by-step explanation:

Answer:

$ 24.15

Step-by-step explanation:

100%= $21

(100+15)% =115% ×$21

(115/100)*21= 24.15$

The answer is just -infinite

Answer:

306.25-156.25/70-50 =150/20=7.5 ft/mph

Step-by-step explanation:

For every 1 mph over 50 mph a car is traveling, its braking distance increases by 7.5 ft

The required braking distance between the one that can travel at 50 mph and one traveling at 70 mph is 7.5 ft/mph.

Rate of change is defined as the change in value with rest to the time is called rate of change.

Here,
Distance traveled when applying brake when speed is 70 mph is 306.25,
Distance traveled when applying brake when speed is 50 mph is 156.25 ft

The rate of change of braking is given as,

= 306.25-156.25/70-50
= 150/20
=7.5 ft/mph

Thus, the required braking distance between the one that can travel at 50 mph and one traveling at 70 mph is 7.5 ft/mph.

Learn more about the rate of change here: https://brainly.com/question/13103052

#SPJ2

Answer:

[tex](x + 14)^2 + (y + 3)^2 = 117[/tex]

Step-by-step explanation:

Equation of a circle:

The equation of a circle with center [tex](x_0,y_0)[/tex] is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

In which r is the radius.

Center (-14, -3)

This means that [tex]x_0 = -14, y_0 = -3[/tex]

So

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

[tex](x - (-14))^2 + (y - (-3))^2 = r^2[/tex]

[tex](x + 14)^2 + (y + 3)^2 = r^2[/tex]

Passes through the point (-5,3),

This means that when [tex]x = -5, y = 3[/tex]. We use this to find the radius squared. So

[tex](x + 14)^2 + (y + 3)^2 = r^2[/tex]

[tex](-5 + 14)^2 + (3 + 3)^2 = r^2[/tex]

[tex]r^2 = 117[/tex]

So, the equation of the circle is:

[tex](x + 14)^2 + (y + 3)^2 = r^2[/tex]

[tex](x + 14)^2 + (y + 3)^2 = 117[/tex]

Answer:

(3, infinity)

Step-by-step explanation:

range is talking about the y axis and every number the graph touches on the y axis. the first number is the minimum number and the second number is the max number. this graph's lowest point is 3, so the answer is (3, something). the max is never/infinity and that's how you get (3, infinity).

Answer:

3h² - 11h - 42 = (3x+7)(x−6)

Step-by-step explanation:

We need to find factors of 3h² - 11h - 42. It is a quadratic equation.

We search two numbers such that their product is 42 and sum is 11. So,

3h² - 11h - 42 = 3h² -18x +7x -42

= (3x+7)(x−6)

So, the required factors are (3x+7)(x−6).

Answer:

D. 4

Step-by-step explanation:

Terms are separated by addition and subtraction signs

Answer:

I think 64 dollars

Step-by-step explanation:

*8x3=24  

88-24=64

Answer: 2x^2-4x-16

Step-by-step explanation:

Answer:  x^4 - 16

Step-by-step explanation:

Answer:

love to answer questions i cant see

Step-by-step explanation:

Answer:

Volume of cube = 216cm^3

Volume of box =  168cm^3

Step-by-step explanation:

Cube:

6 x 6 = 36

36 x 6 = 216

Box:

7 x 6 = 42

42 x 4 = 168

Answer:

216 cm^3, 168 cm^3

Step-by-step explanation:

Cube

Volume of a cube is the side * side * side.

Side = 6 || 6 * 6 * 6 = 216 cm^3

Rectangular Box

Volume of box is product of height, depth, and width.

Sizes are, 7, 6, 4 || 7 * 6 * 4 = 168 cm^3

Given:

The set of ordered pair (-4,2), (3,6), (4,3), (?,?).

To find:

The ordered pairs that could not be included in this set if its a function.

Solution:

We know that, a relation or a set of ordered pairs is a function if there exist a unique output (y-value) for each input (x-value).

If (-4,-3) point is included in the given set of ordered pair, then we have [tex]y=-3,2[/tex] for [tex]x=-4[/tex].

Since there are more than one output value at [tex]x=-4[/tex], therefore the given set of ordered pairs will not be a functions after including the point (-4,-3).

If points (1,2), (3,6) and (-3,6) are included in the given set of ordered pair, then there exist a unique output for each input.

So, the given set of ordered pairs will be a functions after including the points (1,2), (3,6) and (-3,6).

Therefore, the correct option is A.

Given:

The point (7, 4) lies on a circle centered at the origin.

To find:

The equation of the circle and the radius of the circle.

Solution:

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

The point (7, 4) lies on a circle centered at the origin. So, the distance between the points (7,4) and (0,0) is equal to the radius of the circle.

[tex]r=\sqrt{(0-7)^2+(0-4)^2}[/tex]

[tex]r=\sqrt{(-7)^2+(-4)^2}[/tex]

[tex]r=\sqrt{49+16}[/tex]

[tex]r=\sqrt{65}[/tex]

The standard form of the circle is

[tex](x-h)^2+(y-k)^2=r^2[/tex]            ...(i)

Where, (h,k) is the center of the circle and r is the radius of the circle.

Putting h=0, k=0 and [tex]r=\sqrt{65}[/tex] in (ii), we get

[tex](x-0)^2+(y-0)^2=(\sqrt{65})^2[/tex]

[tex]x^2+y^2=65[/tex]

Therefore, the equation of the circle is [tex]x^2+y^2=65[/tex] and its radius is [tex]r=\sqrt{65}[/tex].

Answer:

X = 120

Y = 60

.......................

Answer:

x=120

y=60

Step-by-step explanation:

So it states that this is an equilateral triangle which means that all of the angles in this triangle or the same

the sum of all the angles is equal to 180 so to find y we divide 180 by 3

180/3=60

y=60

we notice that its supplementary to the angle that measures 60 and supplementary angles add up to equal 180 so to find x we subtract 60 from 180

180-60=120

x=120

Ok now this one i am 100% confident in my answer