Suppose a math class starts at the beginning of the school year with 12 boys and 8 girls. However, after school resumed in January, 6 new boys and 4 new girls came to the class. Is the ratio of boys to the total number of students in the class still the same?

Answer:

18/24 for the first one

Step-by-step explanation:

Answer:

14.48º

Step-by-step explanation:

tan^-1(100/77) = 52.403...

tan^-1(60/77) = 37.926...

52.403 - 37.926 = 14.477

There are 15 years was his money invested.

Simple Interest is an easy method of calculating the interest for a loan/principal amount.

Given

Frank invests $1,000 in simple interest investment account that pays 8% a year.

After a number of years, he withdraws his balance of $2,200.

The number of years was his money inversted is;

[tex]\rm I= P\times r \times t[/tex]

Where p is the principal amount, r is the rate of interest, I is the amount and  t is the time.

Substitute all the values in the formula;

[tex]\rm I= P\times r \times t\\\\2200-1000= 1000 \times .08 \times t\\\\1200 = 80t\\\\t = \dfrac{1200}{80}\\\\t=15[/tex]

Hence, in the 15 years was his money invested.

To know more about investing click the link given below.

https://brainly.com/question/26677076

Hey there!

4x + 7 + 35 = 90°

4x + 42 = 90°

SUBTRACT 42 to BOTH SIDES

4x + 42 - 42 = 90 - 42

CANCEL out: 42 - 42 because it give you 0.

KEEP: 90 - 42 because it help solve for the x-value.

NEW EQUATION: 4x = 90 - 42

SIMPLIFY IT!
4x = 48°

DIVIDE 4 to BOTH SIDES

4x/4 = 48/4

CANCEL out: 4/4 because it give you 1

KEEP: 48/4 because it give you the x-value

NEW EQUATION: x = 48/4

SIMPLIFY IT!

x = 12

Therefore, your answer is: x = 12

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

Dont know what the drop down options are

Step-by-step explanation:

however, i would say gold costs less then platinum because the line for gold is less then that of platinum

Im pretty sure for the second part the graph shows the unit rate in Dollars

Answer:

its the answer in the photo it is correct on ttm

Answer:

16................

Step-by-step explanation:

Above

Answer:

The answer is 16.

Step-by-step explanation:

Negatives can be tricky, but once you get the hang of it, it will be much easier! The rule to remember here is:

"Anything 'minus a negative' just means plus, because the negatives cancel each other out."

a. For example, 4 -(-1) is the same thing as 4+1, which equals 5.

b. In this problem, 12-(-4) is the same thing as 12+4, which equals 16.

I hope this helps! Feel free to give me Brainliest if you feel this helped. :)

Answer:

5b - 138

Step-by-step explanation:

Alright let's break it down.

First, you can see that each constant (5,126,7) have negatives in front of them. SO you are going to subtract each one of them.

When subtracting negatives it's basically just adding them together. How to do it is simply adding:

5 + 126 + 7

Then you get 138.

BUT, it was negative numbers. So it's actually -138.

Then bring back the 5b and your answer is:

5b - 138

Mark brainliest if you can :D

Answer: John ran 10 miles through Monday and Wednesday.

Step-by-step explanation: He ran for miles on 4 but 4 more than Monday and he ran 3 miles on Monday, so you add 4 + 3 which = 7 then you add 3 to 7 because he ran 3 miles on Monday then you get 10.

Answer146°

Step-by-step explanation:The supplement of 34° 34 ° is the angle that when added to 34° 34 ° forms a straight angle (180° 180 °). 180°− 34° 180 ° - 34 ° Subtract 34 34 from 180 180.

Supplementary angles have sum 180°

[tex]\\ \sf\longmapsto x+34=180°[/tex]

[tex]\\ \sf\longmapsto x=146[/tex]

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Straight lines.

equation of the line perpendicular to the given line is

[tex]y = \frac{1}{4} x + 3[/tex]

Answer:

c

Step-by-step explanation:

big brain and the world is not

Answer:

Step-by-step explanation:

please see attached a sketch of the solution for your reference

What is a sinusoidal wave?

Alternatively called a sine wave is a type of wave that shows a repetitive pattern or oscillation, it normally starts from a low point moves to the next point which is usually higher than the previous and repeats itself as the whole process continues

We are given that ,

[tex]{:\implies \quad \sf \dfrac{12+\sqrt{128}}{1-\sqrt{2}}=a+b\sqrt{2}}[/tex]

Consider LHS;

[tex]{:\implies \quad \sf \dfrac{12+\sqrt{128}}{1-\sqrt{2}}}[/tex]

Can be further written as ;

[tex]{:\implies \quad \sf \dfrac{12+8\sqrt{2}}{1-\sqrt{2}}}[/tex]

Rationalizing the denominator we have ;

[tex]{:\implies \quad \sf \dfrac{12+8\sqrt{2}}{1-\sqrt{2}}\times \dfrac{1+\sqrt{2}}{1+\sqrt{2}}}[/tex]

[tex]{:\implies \quad \sf \dfrac{(12+8\sqrt{2})(1+\sqrt{2})}{(1-\sqrt{2})(1+\sqrt{2})}}[/tex]

[tex]{:\implies \quad \sf \dfrac{12(1+\sqrt{2})+8\sqrt{2}(1+\sqrt{2})}{1-2}}[/tex]

[tex]{:\implies \quad \sf \dfrac{12+12\sqrt{2}+8\sqrt{2}+16}{-1}}[/tex]

[tex]{:\implies \quad \sf \dfrac{28+20\sqrt{2}}{-1}}[/tex]

[tex]{:\implies \quad \sf -28-20\sqrt{2}}[/tex]

Hence, we can conclude that ;

Answer: Finding the slope

Step-by-step explanation:

I'm sorry but the pic is a but blurry so basically you pick two points and use the equation 2y-y1/2x-1x then simplify if you can  find a better picture I would love to help.

Answer my question please on my page :)

Answer:

B. A cube with side lengths of 4ft has a volume of 64 cubic feet.

Step-by-step explanation:

The best interpretation of the function is that a cube with a side length of 4ft has a volume of 64ft³;

    Function;

           v(s) = s³

s is the side of the cube;

   Now, if we input 4, the cube is 64

A function simply relates a set to another one.

So, answer choice B is the right one

Answer:

All vehicles, cycles, motorcycles, scooters, cars, bus, trucks, trains, etc. can run but can't walk. Aeroplanes can run and fly but can't walk.

Step-by-step explanation:

Answer:

your mouth,  or a river

Step-by-step explanation:

Answer:

Outside the circle we place the other numbers 0, 2, 4, 6, 8 and 10 that are in E but not in A.

Step-by-step explanation:

Answer:  28 degrees.

Step-by-step explanation:

See the attached image. 1.2.3 is just seperate angles to help see more details.

Answer:

28°

Step-by-step explanation:

[tex]m\angle UVI +m\angle IVW =m\angle UVW[/tex]

(By angle sum postulate)

[tex]\implies (3x+7)\degree +(12x+6)\degree =118\degree[/tex]

[tex]\implies (15x+13)\degree =118\degree[/tex]

[tex]\implies 15x+13 =118[/tex]

[tex]\implies 15x =118-13[/tex]

[tex]\implies 15x =105[/tex]

[tex]\implies x =\frac{105}{15}[/tex]

[tex]\implies x =7[/tex]

[tex]m\angle UVI =(3x+7)\degree[/tex]

[tex]\implies m\angle UVI =(3*7+7)\degree[/tex]

[tex]\implies m\angle UVI =28\degree[/tex]

Answer:

We have 4 ways of solving one-step equations: Adding, Substracting, multiplication and division. If we add the same number to both sides of an equation, both sides will remain equal. If we subtract the same number from both sides of an equation, both sides will remain equal.

Step-by-step explanation:

Answer:

Just leave it how it is, you don't have to do anything with the negative symbol.

Answer:

A. The rate Aaron travels with the current

Step-by-step explanation:

Distance travelled = 3 mph in still water(downstream)

Time it takes for him to travel with the current = 12 / (3+x)

Where,

x = rate of the current

Denominator, 3 + x = The rate Aaron travels with the current

Therefore, the correct answer is

A. The rate Aaron travels with the current

Answer:

All of these

answer D is correct

hope this helps you.

hope this helps you.Brainliest appreciated

hope this helps you.Brainliest appreciatedgood luck! have a nice day!

Answer:

45 cm

i took the test

Answer:

yes, they are equivalent

Step-by-step explanation:

5(x+3)... distribute the 5.... 5x +15

Answer:

yes they are equivalent

Step-by-step explanation:

5(x+3)=5x+15

you distribute the 5 to x and 3

5x+15=5x+15

Answer:

[tex]\dfrac{\pi }{2}[/tex]

Step-by-step explanation:

The period of the function is from one peak to the next (or from one trough to the next).

[tex]\sf \implies period=\dfrac{\pi }{2}[/tex]

**see attached for the measurement of the period for this function**

Answer:

[tex]3(x + 4) = 3x + 12\:\boxed{\tt Yes}[/tex]

[tex](4 + 8) = 24 + 28\:\boxed{\tt No}[/tex]

[tex]x(5 + 5) = 5x\:\boxed{\tt Yes}[/tex]

[tex]7(1 + 9) = 7 + 9\:\boxed{\tt No}[/tex]

[tex]6(2 + 1 + 5) = 12 + 6 + 30\:\boxed{\tt No}[/tex]

[tex]7(5 - 4) = 35 - 28\:\boxed{\tt No}[/tex]

~

Answer:

thee correct  answer is c not d

Step-by-step explanation: