What is the length of the side AC in the triangle above

Answer:

The equation is true when x = 4 because 6(4) = 24 that is x=4 satisfies the given equation.

Step-by-step explanation:

Given: [tex]6x=24[/tex]

To find: x

Solution:

A equation is a statement that defines the equality of two expressions or numbers.

[tex]6x=24[/tex]

Divides both sides by 6

[tex]\frac{6x}{6}=\frac{24}{6}\\x=4[/tex]

Therefore,

The equation is true when x = 4 because 6(4) = 24 that is x=4 satisfies the given equation.

Answer:

$175

Step-by-step explanation:

Since it’s only one month you just add 150 by 25

Correct me if I am wrong

Answer:

76

Step-by-step explanation:

arrange the data set from least to greatest:

16, 31, 55, 61, 92

Range = Highest value - Lowest value = answer

Range = 92 - 16 = 76

Answer:

3/5 works

Step-by-step explanation:

its in between 1/2 and 5/8

Answer:

it's 9/16 it is in between 1/2 and 3/4

Answer:

So the answer is the third one,y=2

Answer:

3rd option:  2

Step-by-step explanation:

edgen2020

Answer:

Collinear points are points all in one line and non collinear points are points that are not on one line. Below points A, F and B are collinear and points G and H are non collinear. Coplanar points are points all in one plane and non coplanar points are points that are not in the same plane.

Step-by-step explanation:

hope this helps you :)

Answer:

i<3u

Step-by-step explanation:

Let's solve for i.

9x−7i>3(3x−7u)

Step 1: Add -9x to both sides.

−7i+9x+−9x>−21u+9x+−9x

−7i>−21u

Step 2: Divide both sides by -7.

−7i

−7

>

−21u

−7

i<3u

Hope this helps.

Answer: i < 3u

We first distribute 3.

9x-7i > 3 (3x-7u)

9x-7i > 9x - 21u

Subtract 9x from both sides.

-7i > -21u.

Divide both sides by -7. Since -7 is negative so the inequality sign will change.

i < 3u.

Learn more: https://brainly.com/question/20521181

Answer:

d) x=25

Step-by-step explanation:

x-16=9

add 16 to both sides canceling out -16 and adding 9 and 16, making it positive 25

after moving 16 to the other side of the =, and adding it to 9 it should look like:

x=25

therefore making the answer x=25

Answer:

1. 5 wore red, 8 wore blue, and 20 wore white.

2. I'm not sure how this question is meant to be looked at. Are the running shoes and fancy shoes in pairs?

Step-by-step explanation:

For the first question, you simply convert the fractions to decimals, then multiply those decimals by 50 (the amount of people). To do this, just move the decimal place back two. EX: 10% -> 0.10.

Answer:

This is the answer I am writing the answer rn

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Answer: -1/2x =20-5

Step-by-step explanation:

Hi, to answer this question we have to write an expression with the information given:

One half of the opposite of a number; a number is the variable (x), the opposite is -x, and one half of that number is equal to the number multiplied by 1/2. (-1/2x)

Is five less than twenty: the previous expression is equal to 20 minus 5:

Mathematically speaking:

-1/2x =20-5

Feel free to ask for more if needed or if you did not understand something.

Answer:

C

Step-by-step explanation:

this is because perpendicular lines have the opposite reciprocal slopes. So, 3/2 is the opposite reciprocal of -2/3 since it is negative and that is the opposite sign. Then, it is the reciprocal of the fraction since the numerator and the denominator are switched. If you check the other answer options, you will see that none of the slopes are the exact opposite reciprocal.

Answer: C

Step-by-step explanation:

in the problem, you know that the answer will be negative. -(-8/-4) gives you -2. There is no answer choice that is -2. Therefore, none of the above is your answer.

Answer:

it would be somewhere around 29161231

Step-by-step explanation:

it is m8

Answer:

No. of large rooms = 7

No. of small rooms = 14

Set of equations

4x + 3y = 70  

y = 2x

Variable definitions

No. of large rooms is x

No. of small rooms is y

Step-by-step explanation:

capacity of large rooms = 4 people

let the no. of large rooms be x

thus, total no of people which can be accommodated in x rooms = 4*x = 4x

capacity of small rooms  = 3 people

let the no. of small rooms be y

thus, total no of people which can be accommodated in y rooms = 3*y = 3y

total no. of people which can be accommodated in x large room and y small room will be = 4x + 3y

It is given that total small room and large room can accommodate 70 guests

thus,

4x + 3y = 70        _________equation 1

_________________

It is also given that Jose reserved twice as many small rooms as large rooms,

so, if no. of large rooms is x  and no. of small rooms is y

then

y = 2x        _________equation 2

substituting value of y in equation 1 we have

4x + 3(2x) = 70  

=>4x + 6x = 70  

=> 10x = 70

=> x = 70/10 = 7

No. of large rooms = 7

No. of small rooms = y= 2x = 2*7 = 14

Set of equations

4x + 3y = 70  

y = 2x

Variable definitions

No. of large rooms is x

No. of small rooms is y

The number of the small rooms is 14.

The number of large rooms is 7.

Assuming that the number of the large rooms is x,

So, the number of small rooms is 2x

According to the question:

[tex]3[/tex] × [tex]2x[/tex] [tex]+ 4[/tex] × [tex]x = 70[/tex]

[tex]6x+4x=70\\10x=70\\x=7[/tex]

So, 2x = 2(7) = 14

Therefore, the number of the small rooms is 14 and the number of large rooms is 7.

For more information:

https://brainly.com/question/22971109

Answer:

D.) The expected value is 1.78

Step-by-step explanation:

The expected value of a probability distribution is evaluated using the formula.

Expected Value, [tex]E(X)=\sum^{n}_{i=1}x_iP(x_i)[/tex]

Therefore, from the given probability distribution, we have:

E(X)=(0*0.3)+(1*0.2)+(2*0.16)+(3*0.2)+(4*0.04)+(5*0.1)

E(X)=1.78

The Expected value of X is 1.78.

The correct option is D.

Answer:

D.) The expected value is 1.78

Step-by-step explanation:

i took the test

Answer: D. [tex]6^{30}[/tex]

Step-by-step explanation:

Using exponent rules an exponent to the power of a number will multiply by each other.

So the -4 and -9 will multiply.

The 6 in the numerator will now have a positive exponent of 36.

[tex]\frac{6^{36}}{6^6}[/tex]

Now we can divide and when we do so the exponents will subtract from each other.

So 36 - 6 = 30

And the base of 6 does not change.

The simplified form is [tex]6^{30}[/tex]

Answer: D.

Step-by-step explanation:

Using exponent rules an exponent to the power of a number will multiply by each other.

So the -4 and -9 will multiply.

The 6 in the numerator will now have a positive exponent of 36.

Now we can divide and when we do so the exponents will subtract from each other.

So 36 - 6 = 30

And the base of 6 does not change.

The simplified form is  

[tex]6^{30}[/tex]

Answer:

66 cubic units

Step-by-step explanation:

For a prism, the volume is the area of the base multiplied by the height.

area of base = area of triangle = (1/2) * base * height (of the base)

volume = area of base * height of prism

volume = (1/2) * 4 * 3 * 11

volume = 66

Answer:

66 cubic units

Step-by-step explanation:

Answer:

5/6

Step-by-step explanation:

On a standard 6-sided die, there is only one 2. That means that there are 5 other numbers that it could land on (1, 3, 4, 5, 6).

Using that information, the probability of it not landing on a 2 is 5 out of 6 or 5/6. This is because you must do part over whole. The "part" in this situation is the 5 "wanted" numbers, and the "whole" is 6 because there are six potential numbers that it could land on.

I hope this helps.

The probability that it will not land on a 2 is 5/6

Probability is the likelihood or chance that an event will occur.

It will land on 2, Prob (land on 2) = 1/6

It will not land on 2, the probability will be given as:

Prob (not land on a 2) = 1 - 1/6

Prob (not land on a 2) = 5/6

Hence the probability that it will not land on a 2 is 5/6

Learn more on Probability here: https://brainly.com/question/25870256

Answer:

-9/8

Step-by-step explanation:

The two points given are

(1,6) and (9,-3)

The slope is given by

m = (y2-y1)/(x2-x1)

   = (-3-6)/(9-1)

   = -9/8

Answer:

2

Step-by-step explanation:

3p + q = 8 and

3p - q = 10

then p+q is?​

--------

add up side-by-side:

6p=18 ⇒ p=3

q=8-3p= 8 - 9= -1

p+q= 3-1=2

Answer:

2

Step-by-step explanation:

3p + q = 8

3p - q = 10

→ Minus the two equations away from each other which would cancel out 3p

2q = -2

→ Divide both sides by 2 to isolate q

q = -1

→ Substitute q = -1 back into 3p + q = 8

3p - 1 = 8

→ Add 1 to both sides to isolate p

3p = 9

→ Divide both sides by 3 to isolate p

p = 3

⇒ The question asks us to find p + q so,

3 + - 1

→ Remember the minus cancels out the plus

3 - 1 = 2

Answer:

36

Step-by-step explanation:

Let Brandon's age be b. We can write 4b = b + 27 which gives us b = 9. Because Michael is 4 times as old as Brandon, he is 9 * 4 = 36 years old.

Answer:

36

Step-by-step explanation:

Micheal is 4 times as old as Brandon.

y = 4x

Micheal is also 27 years older than Brandon.

y = x +27

Y represents Micheal's age, and x represents Brandon's age.

Since both equations above are equal to the same value, y, you can set the two equations equal to each other.  Solve for x.

4x = x + 27

3x = 27

x = 9

Brandon is 9 years old.  

Plug Brandon's age into one of the equation to solve for Micheal's age.

y = x + 27

y = 9 + 27

y = 36

Micheal is 36 years old.

Answer:

18√6  or  44.1

Step-by-step explanation:

3√216= 3√4*9*6=3*2*3√6=18√6 = 44.1

Answer:

S(t) = 10 - 0.5t

Step-by-step explanation:

initial depth of snow = 10 inches

melting rate =  0.5 inches per hour

it means that, in one hour snow depth will decrease by 0.5 inches

thus , in t hours  snow depth will decrease by 0.5*t = 0.5t inches

Thus, depth of snow after t hours can be calculated by

we will take initial depth of snow and them subtract the depth of snow which melted in t hours.

we are subtracting as snow is melting and will thus decrease the depth of snow

depth of snow after t hours can = initial depth of snow - decrease of the depth of snow after snow melts for t hours

depth of snow after t hours can = 10 inches - 0.5t inches

                                                       =  (10 - 0.5t )inches

Thus ,S(t), representing the depth of snow on Mason's lawn, in inches, t hours after the snow stopped falling is S(t) = 10 - 0.5t

Answer:

A i think

Step-by-step explanation:

Answer:

B... -8<x

Step-by-step explanation:

When looking at the graph, we can see the arrow goes to the right, which means it will be that x is greater than whatever number. The open circle is on -8, so we know x is bigger than -8! Hope this helps

Answer:

(4^5/b^7)^3

(1024/b^7)^3

1024^3/b^21

Answer:

center of rotation

Answer:

Center of rotation.

Step-by-step explanation:

The center of rotation is the point at which an image turns.

Point D is described as the center of rotation.

Answer:

Step-by-step explanation:

1 ts = 5 ml

5*30 =150

30 ts=150 ml