The average (mean) of five numbers is 30.

Four of the numbers are 21, 29, 18 and 32.

What is the fifth number?

Answer:

AC = AB + BC

18 = (2X - 4) + (3X + 2)

18 = 5X - 2 ( add/subtract like terms)

20 = 5X (-2 take over otherside - 18 + 2)

X = 4

SUB X INTO AB AND BC

AB = 2(4) - 4 = 4

BC = 3(4) + 2 = 14

Answer: a=225

Step-by-step explanation:

[tex]a > 0\\\\x^2=a\\\\x^2-a=0\\\\(x-\sqrt{a} )(x+\sqrt{a}) =0\\\\\sqrt{a} -(-\sqrt{a} )=30\\\\2\sqrt{a} =30\\\\\sqrt{a} 15\\\\a=15^2\\\\a=225\\\\Proof:\\\sqrt{225} -(-\sqrt{225} )=2*\sqrt{225} =2*15=30\\\\[/tex]

Answer:

3.18, 3.21, 3.23

Step-by-step explanation:

You just nee to find some decimals that round up to 3.2

Answer:

3.20, 3.1745, 3.23543

Step-by-step explanation:

The tenth will be rounded up if the hundredth is 5 or greater.

hi <3

i'm not sure of which method you will have been taught but i'll try to explain the method i was shown.

so, you need to multiply the coefficient of x^2 by the last value

3 x -12 = -36

now, you need to find two values that multiply to make -36 but add to make 5.

9 and 4 would work. it would have to be positive 9 and negative 4, as these would subtract to give the 5 that you need

now we have:

(x - 4)(x + 9)

however, we need to achieve the 3 from somewhere so it needs to be divided somewhere

9 is divisible by 3 so you can divide it there. as 4 cannot divide by 3, you would move the 3 up to be the coefficient.

thus, your final answer would be:

(3x - 4)(x + 3)

hope this helps :)

Answer:

it's gonna be 3(X*2 + 4X - 4)

Step-by-step explanation:

Just factor out 3 from the expression

There are a total of 44 candies in the box.

The total ratio is 24

Let;

11/22 * x = y  ----  (1)

If the candies were shared equally

The ratio of candies in R will be 6

6/24 * x = y - 11 --- (2)

substitute  y = 11/22 * x  in (2)

6x/24 = 11x/22 - 11

x/4 = x/2  - 11

multiply through with 4

x = 2x - 44

x = 44

Therefore, there are a total of 44 candies.

Learn more about ratios at: https://brainly.com/question/2914376

Answer:

6.35

Step-by-step explanation:

9.59-3.24=6.35

Answer:

Step-by-step explanation:

hope that image helps

Answer:

Step-by-step explanation:

[tex]f(x)=-2x+4\\g(x)=2x^2-2x-8\\(g\circ f)(x)=g(f(x))\\=g(-2x+4)\\=2(-2x+4)^2-2(-2x+4)-8\\=2(4x^2-16x+16)+4x-8-8\\=8x^2+(-32x+4x)+(32-8-8)\\=8x^2-28x+16[/tex]

Answer:

53.8462%

1.857

Step-by-step explanation:

Answer:

(-2, 3)

Step-by-step explanation:

For x-4 you go left four places and y+6 go up 6 places

Answer:

(-2, 3)

Step-by-step explanation:

Point P has coordinates (2, -3).

The translation is (x - 4, y + 6) which means subtract 4 from the x-coordinate and add 6 to the y-coordinate.

The x-coordinate of point P is 2. Subtract 4 from it, you get -2.

The y-coordinate of point P is -3. Add 6 to it to get 3.

The coordinates of the translated point are (-2, 3).

hi <3

the correct option would be line D (fourth option)

hope this helps :)

Answer:

Ello mate, the answer to your problem is 7,250,000.

Step-by-step explanation:

Answer:

Mark me as brainliest ❤️

Answer:

10:7

Step-by-step explanation:

ratios are simply just like fractions!

this ratio (40:28) can be re-written as 40/28

now, you can simplify this to its lowest terms

40/28=20/14=10/7

first in those steps i re wrote the question, then divided by two, then divided by two again !

so, 40:28=10:7

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

you can even check this by cross multiplying, since ratios are fractions

[tex]\frac{40}{28} =\frac{10}{7}[/tex]

40x7=28x10

280=280

they are equivalent which means our ratio is correct :)

hope this helped <333

Answer: 170.25

Step-by-step explanation:

Quick version

Step 1: Convert 15 percent to decimal

[tex]15\%\:=\frac{15}{100}\\\\= 15 \%[/tex]

Step 2: Multiply 0.15 to 1135

[tex]0.15\cdot \:1135\\\\=170.25[/tex]

170.25 is 15 percent of 1135.

Answer:

170.25 is the solution.

Step-by-step explanation:

Let's find 15% of 1135.

Value of the percentage is,

→ 15 ÷ 100

→ 0.15

Let's find the solution,

→ 1135 × 0.15

→ 170.25

Thus, the answer is 170.25.

Answer:

[tex] \frac{13}{21} , \: \frac{2}{3} , \: \frac{6}{7} [/tex]

Answer:

2.956

Step-by-step explanation:

[tex]\frac{295.6}{10^2}[/tex]

= [tex]\frac{295.6}{100}[/tex]

= 2.956

Answer:

873.7936

Step-by-step explanation:

295.6 divided by 10 is

29.56.

This can be easily done by moving the decimal up one place to the left. For 29.56 to the power of 2 is really just 29.56 * 29.56

29.56 * 29.56 is

873.7936.

Hope this helps!

Subtract t the first 2 choices from the total time:

10 - 3.2 - 3.5 = 3.3

The 3rd selection needs to be 3.3 minutes long

Answer:

No, It is not equal to a 60% discount.

Step-by-step explanation:

Think of this. I go into a store and everything is 50% off and I have a coupon myself that is a 50% off discount for a specific item. It may seem like the item is now free, but it isn't. Imagine the item was $1 before any discount. Then the store took 50% off of the $1, leaving it at $0.50. So now with my discount of 50% off the item I will be taking this 50% off of $0.50 = my final discounted cost of $0.25.

Hope I helped you understand :)

Step-by-step explanation:

5,10,15,20,...

Pattern description:

T1= 5

d=10-5=5

Tn = T1+(n-1)d

Tn = 5 + (n-1)(5)

= 5+5n-5

= 5n

so, Tn = 5n

Next 2 terms : 25, 30

Answer:

Choice D. -1, 0, -5

Step-by-step explanation:

Answer:

The similar triangles are XYZ and MNP. Therefore, the answer is B.

Answer:

21

Step-by-step explanation:

product of 3 number= 1197

1st number= 3

2nd number= 19

3rd number= let,X

Now,

3*19*X= 1197

or, 57*X= 1197

or, X= 1197/57

X= 21

Answer:

X = 119

Step-by-step explanation:

Step 1: Given

Y = -5 X = 7

Y = -85 X = n

Step 2:

-85 ÷ -5 = 17

Step 3:

17 × 7 = 119

Answer:

Y = -5 X = 7

Y = -85 X = 119

n = 119

Answer:

For a line to be parallel it must have the same slope. So the slope of the new equation is 6.

The slope intercept form is y=mx+b. And we have a point (3,-5). Plug in what we know....

-5=6(3)+b

Solve for b (the y-intercept)

b= -23

Therefore.... y=6x-23

??? does that help????

Answer:

[tex]x = - \frac{3}{5} y + 3[/tex]

Step-by-step explanation:

5x + 3y = 15

5x = 15 - 3 y

x = 3 - (3y/5)

Answer:

C and D

Step-by-step explanation:

[tex] \frac{k}{2} = \frac{1}{2} k = k \div 2[/tex]

Answer:

c and d

Step-by-step explanation:

yes thats the answer

Answer:

Step-by-step explanation: