Helping to give out points!! Whoever solves the math riddle correctly with a brief explanation will get brainliest and a thanks (the other answers will just get a thanks).

Riddle: I have a big family. I am 16 years old. My sister Reina is 22 years old. The twins are 14 years old. Susana is 10 years old and my brother Robert is 7 years old. If the total number of our ages added together is 100, how old is Albert?

Answer:

C. 7:6

Step-by-step explanation:

Take your ratio 42 (G): 36 (B) and divide both numbers by six. This comes out to 7 (G): 6 (B) which is the simplest form of this ratio.

14: [tex]\frac{1}{2} = \frac{8}{1}[/tex]    [tex]\frac{x}{y} = \frac{56}{1}[/tex]

56/8 = 7 so multiply 1/2 by 7/1 to get the unidentified fraction "x/y"

1/2 · 7/1 = 7/2 or 3 1/2

15.  [tex]\frac{2}{5} = \frac{x}{100}[/tex]

to get from 100 to 5, you would divide by 20, so to solve for x, multiply 2 by 20, to get a product of 40.

40/100 = 40% or D

16. [tex]\frac{3}{5} = \frac{12}{x}[/tex]

A

Answer: 36,400

Step-by-step explanation:

Answer:

Step-by-step explanation:

36,400

Answer:

108

Step-by-step explanation:

9=height

12=wideness

9times12=108

Answer: 1.) 10

Step-by-step explanation:

-4 + 4 = 0

0 + 6 = 6

6 + 4 = 10

Answer:

3. Z=10 4. B=60

Step-by-step explanation:

For number 3 we work backwards. So, 6 - (-4) would equal 10. To check this -4  + 10 = 6. For number 4, we also work backwards, so 12 x 5 = 60. To check this 60/5 = 12. So z = 10 B = 60.

Answer:

20%

Step-by-step explanation:

75 divided by 5 equals 15

Simple form:

15+15+15+15+15=75  There are 5 15's.

I hope this helps and your grade gets better. :)

Answer:

Pretty sure it's 99.

Answer:

11×9=99

99in³ is the area of the parallelogram

Answer:

C. Miles per hour

Step-by-step explanation:

Answer:

c. miles per hour

Step-by-step explanation:

because he was driving in miles an hour

Answer:

1.1

Step-by-step explanation:

480/425=1.129

There was a 1.129 rent increase but you round to the nearest tenth so 1.1

Answer:

x= -0.785

Step-by-step explanation:

12x plus 2x equals 14x

negative 14 plus 3 equals negative 11

negative 11 divided by 14 equals x

Answer:

27

Step-by-step explanation:

what is 111/4?

27.75

But they asked exact, or no remainders. So the whole number is 27

The greatest number of stalls he needs is 28.

Since it says "the greatest, I rounded 27.75 up, getting 28.

b = number of tickets sold before

a = number of tickets sold after

cost of a ticket = number of tickets times cost per ticket

before cost = 39.95b

after cost = 54.95a

total cost = 925000

39.95b + 54.95a = 925000

total number tickets = 20000

b + a = 20000

we have

39.95b + 54.95a = 925000

b + a = 20000

multiply second equation by -39.95 and add to first equation

39.95b + 54.95a = 925000

-39.95b-39.95a = -799000 +

0b+15a = 126000

15a = 126000

divide bot sides by 15

a = 8400

sub back

b + a = 20000

b+8400 = 20000

minus 8400 both sides

b = 11600

11,600 tickets sold before

8400 tickets sold after

Answer:

[tex]log_{2\sqrt 2} X = \frac{1}{3}k[/tex]

Step-by-step explanation:

Given

Let the number be X

From the first statement, we have:

[tex]log_{\sqrt 2} X = k[/tex]

Required

Find [tex]log_{2\sqrt 2} X[/tex]

[tex]log_{\sqrt 2} X = k[/tex]

using the following law of logarithm

[tex]log_ab = n, b=a^n[/tex]

So:

[tex]log_{\sqrt 2} X = k[/tex]

[tex]X = \sqrt{2}^k[/tex]

Substitute: [tex]X = \sqrt{2}^k[/tex] in [tex]log_{2\sqrt 2} X[/tex]

[tex]log_{2\sqrt 2} X = log_{2\sqrt 2} ( \sqrt{2}^k)[/tex]

[tex]log_{2\sqrt 2} X = klog_{2\sqrt 2} \sqrt{2}[/tex]

Apply the following law:

[tex]log_ab = \frac{log\ b}{log\ a}[/tex]

[tex]log_{2\sqrt 2} X = k\frac{log\ \sqrt 2}{log\ {2\sqrt 2}}[/tex]

Express the square roots as power

[tex]log_{2\sqrt 2} X = k\frac{log\ 2^\frac{1}{2}}{log\ {2 * 2^\frac{1}{2}}}[/tex]

[tex]log_{2\sqrt 2} X = k\frac{log\ 2^\frac{1}{2}}{log\ {2^\frac{3}{2}}}[/tex]

using the following law of logarithm

[tex]log_ab = n, b=a^n[/tex]

[tex]log_{2\sqrt 2} X = k\frac{\frac{1}{2}log\ 2}{\frac{3}{2}log\ 2}}[/tex]

[tex]log_{2\sqrt 2} X = k\frac{\frac{1}{2}}{\frac{3}{2}}}[/tex]

Rewrite as:

[tex]log_{2\sqrt 2} X = k * \frac{1}{2} \div\frac{3}{2}[/tex]

[tex]log_{2\sqrt 2} X = k * \frac{1}{2} *\frac{2}{3}[/tex]

[tex]log_{2\sqrt 2} X = k * \frac{1}{1} *\frac{1}{3}[/tex]

[tex]log_{2\sqrt 2} X = \frac{1}{3}k[/tex]

Answer:

no

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

-36

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

x⁴ - 3x² - 90

x = -3

Step 2: Evaluate

Answer:

False

Step-by-step explanation:

Answer:

583

Step-by-step explanation:

Answer:

by measuring in feet

Step-by-step explanation:

its the easiest way to find what your looking for

Answer:

You can find the length of an unknown leg using the Pythagorean theorem

Step-by-step explanation:

[tex]a^2+b^2=c^2[/tex]

or

[tex]c^2-a^2=b^2[/tex]

or

[tex]c^2-b^2=a^2[/tex]

note c = hypotenuse and b and a = legs

Answer:

x = 2, x = -3/2

Step-by-step explanation:

Factors to be (x-2)(2x+3) = 0

x =2, x = -3/2

Answer:

Step-by-step explanation:

2x²-x-6=0

2x²-(4-3)x-6=0

2x²-4x+3x-6=0

2x(x-2)+3(x-2)=0

(x-2)(2x+3)=0

Answer:

14 and 16

Step-by-step explanation:

nryjettutwi523iwtietiitqy25

Answer:

13 ft

Step-by-step explanation:

To find the perimeter of a rectangle you have to add the four sides of the rectangle, you have two sides and know the perimeter, this will help you find the length of her room. 12 ft is the width, add 12+12 and you have 24. The perimeter is 50 so subtract 24 from 50 and you have 26 that is the length times two, so divide 26 by 2. Now you have 13, so the length of her room is 13 feet.

Hope you understand now! :)

Answer:

50

Step-by-step explanation:

Given

first term (a) = 6

Common Difference (d) = 1 - 6 = - 5

Last term (tn )= - 239

Number of terms (n) = ?

We know

Tn = a + ( n - 1 ) d

- 239 = 6 + (n - 1) (-5)

- 239 = 6 - 5n + 5

- 239 = 11 - 5n

5n = 11 + 239

5n = 250

n  = 250 / 5

n = 50

The number of terms is 50.

Answer:

Parallelogram ABCD was translated to parallelogram A'B'C'D'. ... When ΔRST is translated 4 units down, what is the coordinate of T'? ... C.​ ​7 units left and 5 units down. B. 7 units right and 5 units up. D. ... If the triangle DOG with coordinates (2, 2), (2, 10), (8, 6) is translated six units left and three units.

Step-by-step explanation:

Step-by-step explanation:

DE : JK

= 21 : 7

= 1 : 3

The condition that proves congruent of two given triangles ΔDEF ∼ ΔJKL would be option A; DE : JK.

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

we have given proof two triangles congruent by the postulate of SSS.

Since two corresponding sides of these triangles are congruent so additional third side should also be congruent to prove both the triangles congruent.

AC ≅ DF will complete the SSS property to prove both the triangles are congruent.

DE : JK

= 21 : 7

= 3 : 1

Learn more about triangle here:

https://brainly.com/question/342881

#SPJ2

Answer:

C. c(t) = 5 + 15t

Step-by-step explanation:

Well because the initial fee is $5, the answer must have the value of 5 without a variable next to it because this is the y-intercept.

(Only the slope will have the t next to it.)

Because $15 is charged EACH HOUR this would be the slope because there is a constant increase

Therefore c(t) = 5 + 15t

Answer:

C. c(t) = 5 + 15t

Step-by-step explanation:

She charges $15 per hour, so each hour (represented by "t") she earns 15 dollars. She also charges a $5 fee per germent. So she would get $5 plus 15 times however many hours she worked. So your answer would be c(t) = 5 + 15t.

Answer:

1<x<3

x <  -4

Hopefully that helps :)

Answer:

9  

Step-by-step explanation:

5-(-4) =

5 + 4 = 9

Hope that helps!9

Answer:

An airplane cruises 1 kilometer in 1/12 of a minute. What is its cruising speed?200