Mathematics High School

1. In a class there are 2 boys to every 3 girls. How many girls would be in the class if there are 12 boys? (set up a proportion and solve, think about what two things you have and put them one over the other)

2. A boat traveled 27 miles in 2 hours. At this rate how many miles would the boat travel in 0.5 hour? (set up a proportion and solve)

3. Joe uses 6 grams of coffee beans to make 24 ounces of coffee. How many grams of coffee beans would be used for 288 ounces of coffee? (this problem has ounces but it also gives you three numbers already)

4. A recipe says to use 3 cups of flour for 48 cookies. How many cups of flour would be used to make 72 cookies?

5. A man walks 4 miles in 1.5 hours. How many hours would it take the man to walk 10 miles?

6. It costs $22.50 for 5 pounds of salmon. How much would it cost for 8 pounds of salmon?

Answers

Answer 1

Answer:

1. 12 boys,

5. 15 hours

6. 36

Im not so sure on the others, Gl!

Related Questions

Sally put dots on a place value chart to show a number. She had a total of 10 dots. She put 3 in the tens place, 5 in the hundreds place, and 2 in the thousands place. Which of these is Sally’s number?

A.
253

B.
2503

C.
2530

D.
25,300

Answers

C. 2530 i’m pretty sure

Which is the inverse of the function a(d)=5d-3? And use the definition of inverse functions to prove a(d) and a-1(d) are inverse functions

Answers

Answer:

[tex]a'(d) = \frac{d}{5} + \frac{3}{5}[/tex]

[tex]a(a'(d)) = a'(a(d)) = d[/tex]

Step-by-step explanation:

Given

[tex]a(d) = 5d - 3[/tex]

Solving (a): Write as inverse function

[tex]a(d) = 5d - 3[/tex]

Represent a(d) as y

[tex]y = 5d - 3[/tex]

Swap positions of d and y

[tex]d = 5y - 3[/tex]

Make y the subject

[tex]5y = d + 3[/tex]

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

Replace y with a'(d)

[tex]a'(d) = \frac{d}{5} + \frac{3}{5}[/tex]

Prove that a(d) and a'(d) are inverse functions

[tex]a'(d) = \frac{d}{5} + \frac{3}{5}[/tex] and [tex]a(d) = 5d - 3[/tex]

To do this, we prove that:

[tex]a(a'(d)) = a'(a(d)) = d[/tex]

Solving for [tex]a(a'(d))[/tex]

[tex]a(a'(d)) = a(\frac{d}{5} + \frac{3}{5})[/tex]

Substitute [tex]\frac{d}{5} + \frac{3}{5}[/tex] for d in [tex]a(d) = 5d - 3[/tex]

[tex]a(a'(d)) = 5(\frac{d}{5} + \frac{3}{5}) - 3[/tex]

[tex]a(a'(d)) = \frac{5d}{5} + \frac{15}{5} - 3[/tex]

[tex]a(a'(d)) = d + 3 - 3[/tex]

[tex]a(a'(d)) = d[/tex]

Solving for: [tex]a'(a(d))[/tex]

[tex]a'(a(d)) = a'(5d - 3)[/tex]

Substitute 5d - 3 for d in [tex]a'(d) = \frac{d}{5} + \frac{3}{5}[/tex]

[tex]a'(a(d)) = \frac{5d - 3}{5} + \frac{3}{5}[/tex]

Add fractions

[tex]a'(a(d)) = \frac{5d - 3+3}{5}[/tex]

[tex]a'(a(d)) = \frac{5d}{5}[/tex]

[tex]a'(a(d)) = d[/tex]

Hence:

[tex]a(a'(d)) = a'(a(d)) = d[/tex]

A store had a sale where you could get 5 bags of cashews for $4. If you
wanted to buy 50 bags, how much would it cost?

Answers

Answer:

$40

Step-by-step explanation:

50/5=10, 10•4=40

answer- 40$
50 bags divided by 5 is 10
10 x $4 is $40

A jewelry store is having a going out of busniess sale. All merchandise is marked 40% off the reguler price. The regualr price of a watch is $59.95. Find the amount of the discount and the sale price.

Answers

Answer:

Amount of the Discount: $23.98

Sale Price: $35.97

Step-by-step explanation:

In order to calculate the discount we first need to turn this percentage into a decimal by dividing it by 100. Once we have it in decimal form we subtract that value from 1. Finally, we multiply this new decimal by the original price in order to obtain the sale price like so...

40 / 100 = 0.40

1 - 0.40 = 0.60

0.60 * 59.95 = 35.97

Now we have the sale price which is $35.97 now we can subtract this value from the original price to calculate the amount of the discount.

59.95 - 35.97 = 23.98

-5+12+6x=7x-10+53+3x

Answers

Answer:

x=-9

Step-by-step explanation:

Please hurry no clown answers and please do the whole thing
You are a member of your local movie theater’s club. Every time you see a movie at the theater, you earn 2 advantage points. When you earn 100 points, you get a free movie pass. Currently, you have 40 advantage points.

Write an equation to model the number of movies m you have to watch before you earn a free movie pass.
Solve the equation. Show your work.

Answers

100=40+2m

100-40=60

2m=60

60 divided by 2=30

30 movies

Answer:

2m+40=100, 30 movies

Step-by-step explanation:

1 movie = 2 points

1 pass= 100 points

curently have 40 points so

100points = 40points +2points *m

solve for m:

2m+40 =100 subtract 40 from both sides

2m = 100-40

2m=60 divide both sides by 2

m=60/2

m=30

A student has started a lawn care business. He charges $15 per hour to mow lawns and $20 per hour for gardening. Because he is still in school, he is only allowed to work for at most 20 hours per week. His goal is to make at least $300 per week. 1. Create a system of equations or inequalities that models the situation. Define the variables you use.

Answers

Answer:

15x=300, x=20

20x=300, x=15

Step-by-step explanation:

Answer:

Step-by-step explanation:

15x=300

x will equal 20

20x=300

x will equal 15

f(x) = -4x^2 + 5x
Find f(6)

Answers

Answer:

-114

Step-by-step explanation:

f(6) it means f(x=6) so substituting x=6 in your equation gives us

f(6)= -4*(6)²+5*(6)

= -4*36+30

= -144+30

= -114

The sum of two numbers is 8 and the diffrence is 6 what are the two numbers?

Answers

let x and y be the 2 numbers
x + y = 8
x - y = 6

Add the 2 equations
2x = 14 => x = 7

Plug 7 into the first equation => y = 1
I really hope this helps!

Substitute 7 for xand evaluate the expression below.
9x-2x
Answer here

Answers

Answer:

The answer to this equation is 49

Step-by-step explanation:

9x-2x

9×7=63

2×7=14

63-14=49

I got 24 miles for each kind of gas in my car which one of the following is a equivalent radio of miles to gallons.
A. 48 to 2
B. 2 to 48
C. 1 to 24
D. 3 to 240

Answers

I believe that the answer is B

For brainliest :)
Oml i need more characters
There :)

Answers

Answer:

Imfaooooooo

Step-by-step explanation:

Hope this helps or brightens your day! Please consider marking brainliest! Always remember, your smart and you got this! -Alycia :)

Answer:

characters for what?

anyways....I need brainiest! :P

2. Solve (x – 4)(x + 7). (2 points) O x = 4, X= 7 X = =4, x = -7 x = 4, X = -7 X = -4, X = 7

Answers

Answer:

X = 4, x = -7

Step-by-step explanation:

You can set each equation in the parenthesis Equal to 0.

x - 4 = 0 and x + 7 = 0

start with x - 4 =0

add 4 to both sides

x = 4.

then do x +7 =0. subtract 7 from both sides.

x = -7

so x =4, and x = -7

If you flip a coin 6 times, what is the best prediction possible for the number of times it will
land on heads?

Answers

Answer:

Step-by-step explanation:

50/50

Answer:

3 times or a 50% chance

Step-by-step explanation:

we have two options so that means half of the options will be heads and half of the options will be tails.

i hope this helps :)

What's 7 times 2 plus 5 to the 3rd power

Answers

Answer:

139

Step-by-step explanation:

7x2+5^3 = 139

Two triangular tiles each have two sides measuring four inches. Which is a true statement?

A) Their corresponding angles are congruent.

B) The triangles are congruent.

C) The triangles may be congruent.

D) The triangles cannot be congruent.

Answers

Answer:

C; The triangles may be congruent

Step-by-step explanation:

Here, we have two sides of the each of the triangles equal already

By congruency, we might have SSS or SAS

if SSS, this mean that all the sides are equal

Since we do not know the measure of the third side, we cannot say that they are not congruent or they are congruent

Also, we do not know the measure of the angles of the triangles

If we have an angle that is equal in the two triangles, then we can have congruency through SAS

But since we do not know how these measures, we use the word ‘may’

2(4 + 7) − 8 ÷ 2 whats the answer

Answers

2(4+7)= 8+14= 22. 8/2= 4. 22-4=18. The answer would be 18.

Answer:

your answer is 18 look below for an explanation!

Step-by-step explanation:

please just trust me i know for a fact its right plz leave a thx and may i please have brainliest?

because 2(4+7)= 8+14= 22. 8/2= 4. 22-4=18.

Dont answer this PLEAS

Answers

Answer:

why? also the answer is 1.6y+y-4/15y+7/6y=21/3

We move all terms to the left:

1.6y+y-4/15y+7/6y-(21/3)=0

Domain of the equation: 15y!=0

y!=0/15

y!=0

y∈R

Domain of the equation: 6y!=0

y!=0/6

y!=0

y∈R