Solve for x, and angle c

Answer:

24 blue cars

Step-by-step explanation:

In this problem, one is given the ratio of red to blue cars in the parking lot. One is given the actual number of red cars, and one is asked to find the number of blue cars. One can set up a proportion; ratio to actual, then solve to find the number of actual blue cars using the method of cross-products. One can set up the proportion using the ratios, but it is easier to express the proportion as the equality of two fractions. Thus, the following equation can be formed, let the parameter (x) represent the actual amount of blue cars;

[tex]\frac{red}{blue}= \frac{5}{3} = \frac{40}{x}[/tex]

Cross products,

[tex]5x = 120[/tex]

Inverse operations,

[tex]x = 24[/tex]

Answer:

t = 9 s

Step-by-step explanation:

A stone is thrown downward with an intitial velocity of 29.5 m/sec will travel a distance of a meters, where

[tex]s(t) = -4.9t^2 + 29.4+132.3[/tex]

We need to find when the stone will hit the ground. It means when s(t) = 0. So,

[tex]-4.9t^2 + 29.4t+132.3=0\\\\t=-3\ and\ t=9[/tex]

So, the stone will take 9 seconds to hit the ground. Hence, this is the required solution.

By the fundamental theorem of algebra, we can write the given quadratic in terms of its roots a and b as

3x ² - 5x + k = 3 (x - a) (x - b)

and upon expanding, we have

3x ² - 5x + k = 3x ² - (a + b) x + ab

Two polynomials are equivalent if their coefficients are equal, so

a + b = 5

ab = k

We're given that |a - b| = 2. If we assume a > b (that is, a is the larger root) then |a - b| = a - b = 2, or b = a - 2. Substitute this for b in the first equation above and solve for a :

a + (a - 2) = 5

2a - 2 = 5

2a = 7

a = 7/2

Solve for b :

b = 7/2 - 2

b = 3/2

Solve for k :

k = 7/2 × 3/2 = 21/4

Answer:

D

Step-by-step explanation:

because 1 is a factor of every number and also three is a factor of 27

Answer:

The LCD in 1/30 + 1/24 is 90.

Answer:

42º

Step-by-step explanation:

90-48=42

Answer:

[tex]42^{o}[/tex]

Step-by-step explanation:

The square angle indicates it is a right angle, which is [tex]90^{o}[/tex]

[tex]90^{o}[/tex] - [tex]48^{o}[/tex] = [tex]42^{o}[/tex]

Answer: H. 139.50

Step-by-step explanation:

Multiply 9 by 8 first and you get 72. Then multiply 9 by 7.5 and you get 67.5 then add 72 and 67.5 and you get 139.5 or 139.50

Answer:

it will look the same, just shifted.

Step-by-step explanation:

The parabola will be the same shape, size, etc., it will simply be in a different location. Instead of the bottom of the parabola being at (0,0), it will be at (3, -8). translated right 3, down 8.

Answer:

Set up the area/circumference equations using x as the unknown variable. Then, solve for that variable and apply the correct unit.

Step-by-step explanation:

For example,

Find the side length of a square with an area of 49 square centimeters.

Since [tex]area=s^{2}[/tex], i can write [tex]49=s^2\\then take the square root of each side to solve for s.\\s=\sqrt{49} \\s=7 centimeters[/tex]

Answer:

Step-by-step explanation:

y = a(x-h)² + k, where (h,k) is the vertex.

vertex is clearly (0,0), so y = ax².

Plug in (3,3)  and solve for a:

3 = a3²

a = ⅓

y = ⅓x²

Answer:

ST and WX

Step-by-step explanation:

flipped around st and wx mathched

Answer:

ST and WX

Step-by-step explanation:

Answer:

18.90

Step-by-step explanation:

3x12=36

36-15=21

21 x 0.9

Answer:

$19.65

Step-by-step explanation:

12*3=36

15*.09=1.35

15+1.35=16.35

36-16.35=$19.65

Answer:

13x+16

Step-by-step explanation:

3x+7+8x+2x+4+5

13x+7+4+5

13x+16

Answer:

m=8

Step-by-step explanation:

Divide each term in

7

m

=

56

7

m

=

56

by

7

7

.

7

m

7

=

56

7

7

m

7

=

56

7

Cancel the common factor of

7

7

.

Tap for more steps...

m

=

56

7

m

=

56

7

Divide

56

56

by

7

7

.

m

=

8

m

=

8

Step-by-step explanation:

7m=56

you have to have m by itself so to do that divide 7 on both sides.

7m/7=56/7

the 7 gets cancels on the left side so now you have

m=56/7

you divide

you get m=8

Answer:

he action or condition of becoming or being made wider, larger, or more open.

Step-by-step explanation:

Answer:

Mean of sample means = 22.12

Step-by-step explanation:

Data points     1     2     3     4     5        Sample mean

Sample 1         21    10   19    35   23         21.6

Sample 2        34   44   29   15   30         30.4

Sample 3        38   22   29   31   15          27

Sample 4         47   39    20  16   36         31.6

[tex]Mean of means = \frac{Sum of sample means}{No. of samples}[/tex]

                         [tex]=\frac{21.6 + 30.4 + 27 + 31.6 }{5} \\= 22.12[/tex]

Answer:

22.12

Step-by-step explanation:

Hope this helps

Answer:

weird triangle

Step-by-step explanation:

Answer:

Scalene triangle

Step-by-step explanation:

Scalene triangle: If the length of all the sides of triangle have  different measurements then it is scalene triangle

Answer:

1014 in

Step-by-step explanation:

(13 x 13) x 6 = 1014 in^3

Answer:

The answer should be A (676)

Step-by-step explanation:

Answer:

it is biased

Step-by-step explanation:

Answer:

In 10 years, you will have $793,789.89

Step-by-step explanation:

Counted with compound interest, i would need to know what was the initial but the answ is $793,789.89

Answer:

True

Step-by-step explanation:

Just write down the answer.

Answer:

A. True

Step-by-step explanation:

I majored in Mathematics

Answer:

both of em

Step-by-step explanation:

Answer:

she has 15 dog toys

Step-by-step explanation:

mutlipy 3 by five because the top number is one

Answer:

r≈2.82

Step-by-step explanation:

Hope this helps and have a great day!!!

Step-by-step explanation:

that can help you

Answer:

The average daily maximum temperature in March is of 61 degrees.

Step-by-step explanation:

The average daily maximum temperature in his hometown in x months after January is given by:

[tex]f(x) = 12.2\cos{(\frac{\pi x}{6})} + 54.9[/tex]

What is the average daily maximum temperature in March?

March is 3 - 1 = 2 months after January, so this is f(2).

[tex]f(2) = 12.2\cos{(\frac{\pi*2}{6})} + 54.9 = 61[/tex]

The average daily maximum temperature in March is of 61 degrees.