Alvin is saving $1,500 for a down payment on a car. He has saved $300 so far and plans to save the rest in 6 months. How much money does he need to save per month to have a $1,500 down payment?

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:

[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:

is this weird but in all my years of school I've never learn something like this

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:

Step-by-step explanation:

I am going to do this problem with more of an algebraic approach weather or not its the way your teacher wants you to do it like this.

The way to do things algebraically is to just set variables for what you want to find and set up equations to represent each sentence.

As seen there are hamburgers and chickens in this problem. So let's set the numbers of hamburgers to x, and the numbers of chickens to y.

Now write out each sentence using variables.

1.) Tia sold 78 hamburgers and chicken tenders.

x+y=78

2.) If she sold 24 more hamburgers than chicken tenders.

x=y+24

Now that we have the 2 equations, its time to solve.

Since we have x=y+24, we can replace the x in the first equation with the second equation

y+24+y=78

2y+24=78

Now we can subtract 24 from both sides.

2y=54

Simplify

y=27

Solve for x

x=27+24=51

Done!

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

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:

I think 64 dollars

Step-by-step explanation:

*8x3=24  

88-24=64

Answer:

0.4 miles

Step-by-step explanation:

kiran will have walked 3 miles while clare 3.4 so 3.4-3=0.4

Answer:

c I believe

Step-by-step explanation:

can you help me with my question The strange occurrences reported by the chambermaid who cleaned Dr. Heidegger's den (In Paragraph 3 of "Dr. Heidegger's Experiment") are examples of A. personification. B. symbolism C. elements of gothic literature,

Answer:

C

Step-by-step explanation:

i took the same test

Answer:

love to answer questions i cant see

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

Range is the largest number minus the smallest number. In this case, you would do 20 - 3 and get the answer of 17.

Answer:

resta el valor mínimo del valor máximo para obtener el rango 20-3=17

Answer:

beeebooobeeeeeboooooobeeeeebooooooo

Step-by-step explanation:

option a

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

Answer:

D)

[tex](0.64 +1.645 \sqrt{\frac{0.64(0.36)}{50} })[/tex]

90 percent confidence interval for the proportion of all students in her district who read at least 1 book last month

(0.52846 , 0.75166)

Step-by-step explanation:

Step:-1

Given that the random sample size 'n' = 50

The sample proportion

                       [tex]p^{-} = \frac{32}{50} = 0.64[/tex]

90 percent confidence interval for the proportion of all students in her district who read at least 1 book last month

[tex](p^{-} - Z_{0.90} \sqrt{\frac{p(1-p)}{n}, } , p^{-} +Z_{0.90} \sqrt{\frac{p(1-p)}{n} })[/tex]

Step(ii):-

Level of significance = 0.90

Z₀.₉₀ = 1.645

[tex](0.64 - 1.645 \sqrt{\frac{0.64(1-0.64)}{50}, } , 0.64 +1.645 \sqrt{\frac{0.64(1-0.64)}{50} })[/tex]

[tex](0.64 - 1.645 \sqrt{\frac{0.64(0.36)}{50}, } , 0.64 +1.645 \sqrt{\frac{0.64(0.36)}{50} })[/tex]

(0.64 -1.645(0.06788) , (0.64 + 1.645(0.06788)

(0.52846 , 0.75166)

Final answer:-

90 percent confidence interval for the proportion of all students in her district who read at least 1 book last month

(0.52846 , 0.75166)

Answer:

33/16 hope this helps

Step-by-step explanation:

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:

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

Step-by-step explanation:

8: 4, 2

20: 10, 5

have a good day

Answer:

2/5

Step-by-step explanation:

Hey There!

To simplify this expression we need to find the greatest common factor

Both values can be divided by 4

so the greatest common factor is 4

8/4=2

20/4=5

so the simplified version of the given expression is 2/5

Answer: 2x^2-4x-16

Step-by-step explanation:

Answer:  x^4 - 16

Step-by-step explanation:

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:

$ 24.15

Step-by-step explanation:

100%= $21

(100+15)% =115% ×$21

(115/100)*21= 24.15$