Larry and Cathy study for a total of 24 hours each week. Larry studies 3 less than twice the hours than Cathy studies. How many hours does Cathy study per week?

Answers

Answer 1
Let Cathy studies x hoursLarry studies 2x-3hours

ATQ

[tex]\\ \sf\longmapsto x+2x-3=24[/tex]

[tex]\\ \sf\longmapsto 3x-3=24[/tex]

[tex]\\ \sf\longmapsto 3x=24+3[/tex]

[tex]\\ \sf\longmapsto 3x=27[/tex]

[tex]\\ \sf\longmapsto x=9[/tex]

Answer 2

Answer:

ᎪꪀsωꫀᏒ

9 hours Cathy study per week

Step-by-step explanation:

=> according to the question

➪ x+2x-3=23

➪ 3x-3=24

➪ 3x=24+3

➪ 3x=27

➪ x= 27/3

➪ x= 9


Related Questions

Jesse paddled a canoe 180 feet in 40 seconds. At this rate, how far would he travel in 1 min and
Activity
30 seconds?

Answers

180 in 40 seconds ; 180/40 = 4.5

4.5 feet per minute

For 30 seconds, divide by 2.

2.25 feet every 30 seconds

Answer:

60

Step-by-step explanation:

the rives family plans to travel to the beach for a summer vacation family s pin $67.50 for 23 gallons of gasoline to the nearest cent how much money did the rives family spin per gallon on gas for the trip

Answers

Answer:

$2.93

Step-by-step explanation:

67.50/23=2.9347826087 sorry had to use 20 characters in the explanation

Answer:

$2.93

Step-by-step explanation:

$67.50 for 23 gallons

$? for 1 gallon

$67.50 ÷ 23 = $2.93478

Rounded to the nearest cent: $2.93

It takes one Pizza to feed 4 people. If you invite 52 people, how many pizzas will you need?

Answers

Answer:

13.

Step-by-step explanation:

So, if you need to feed 52 people and each pizza feeds 4 people the equation would be: # of people/ 4 = number of pizzas you need.

Consider the system of equations.

5x + 2y = 12
5x – 2y = 28

What is the solution to the system of equations? Show work using substitution or elimination to support your answer.

A (4, -4)

B (-4, 4)

C (5, -6.5)

D (4, 16)

Show how u got the answer.

Answers

Answer:

(4, -4) = (x, y) = A

Step-by-step explanation:

 5x + 2y = 12

- (5x - 2y = 28)

4y = -16

y = -4

5x + 2(-4) = 12

5x - 8 = 12

5x = 20

x = 4

In the given figure, the alternate interior angles are

A: 2,1
B: 2,3
C: 2,4
D: 2,5​

Answers

Answer:

Where is your attachment ?

find the size of an angle which is two third of its complement.​

Answers

Answer:

4

Step-by-step explanation:

Jill made a sauce in cooking class she use 1/2 cup of milk 2/3 cup of cream and 1/4 cup of water how much less water was used than milk and cream combined

Answers

Answer:

5/12

Step-by-step explanation:

2/3 +1/4 = 8/12 + 3/12= 11/12

11/12 - 1/2 = 11/12 - 6/12 = 5/12 less

John has 13 boxes of apples. Each box holds 10 apples. Is 6 of the boxes are full, and 7 of the boxes are half full, how many apples does John have?

Answers

Answer:

95 apples

Step-by-step explanation:

given:

John has 13 boxes of apples

each apples can have 10 apples

6 box= full -10 apples

7 box= half full-10÷2=5 apples

•°• John has= (6×10) + (7×5)

= 60+35

=95 apples

95 apples is how much John has !

A maritime flag is shown what is the area of the shaded part of the flag

Answers

Where is the pic. I don’t see it

help please sorry it’s blurry

Answers

Answer:

z = -70

Explanation:

-12.2z-13.4z=1792

-25.6z=1792

Divide both sides by (-25.6)

z = -70

With solving and it’s better to edit the photo and send it

Answers

Step-by-step explanation:

please mark me as brainlest

please view the image below and show work for a brainlist :))

Answers

Step-by-step explanation:

calculate the difference in level of water : (68.1-52.5)mL = 15.6mL ( volume)

mass of the rock = 27.69g

density = mass/volume

=> (ρ) = 27.69/15.6 = 1.775g/mL or 1.775g/cm³(1cm³=1mL).

hope this helps you.

Explain how to decide whether to use graphing, substitution, or elimination to solve a system of equations.

Answers

It depends on the systems of equations. I would stay away from elimination, go for substitution and graph only if asked.

What linear function in form y=Mx+b for the line passing through (4.5,-4.25) with y-intercept 2.5

Answers

Answer:     y = −1.5x + 2.5 Step-by-step explanation:

       For us to write the equation for this line, we need to (1) find the slope of the line, and (2) use one of the points to write an equation:  

       The question gives us two points (one of which is the y-intercept), (4.5,-4.25), and (0, 2.5), from which we can find the slope and later the equation of the line.

 

Finding the Slope    

The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)    

                                        =  (2.5 - (- 4.25)) ÷ (0 - 4.5)

                                        =  −1.5

                                   

 Finding the Equation

Now that we know the slope and the y-intercept, we can write the equation of the line in the point-slope form (y = mx + b)

                                            y = −1.5x + 2.5

Checking my answer:

I used Desmos to graph the line I got and the points. Since the line passes through the points then the line is correct.

Henry and Gavin are marking exam papers. Each set takes Henry 36 minutes and Gavin 1 hour. Express the times Henry and Gavin take as a ratio.
Give your answer in its simplest form.

Answers

Answer: 3:5

Step-by-step explanation:

So, taking the ratio of the time taken by Henry to the time taken by Gavin is: (36 mins/ 60 mins) = (36/60) = 3:5 [Taking minutes as the common unit for both of the cases.] Thus the ratio is 3:5 in simplest form.

The rock is dropped into 89KM deep canyon on a unknown planet it takes .99 minutes for the rock to hit the bottom of the canyon find the acceleration due to gravity on this planet

Can anyone help me please with this question

Answers

Answer:

Approximately [tex]50\; \rm m \cdot s^{-2}[/tex], assuming that air resistance is negligible and that the rock was released with zero initial velocity.

Step-by-step explanation:

Let [tex]g[/tex] denote the gravitational acceleration on this planet.

Let [tex]x[/tex] denote the displacement of this rock during this fall. Let [tex]t[/tex] denote the duration of this fall. Assume that the rock was released with an initial velocity [tex]v_{0} = 0\; \rm m \cdot s^{-1}[/tex].

Assume that the air resistance is negligible (such that gravity is the only force on this rock). The acceleration [tex]a[/tex] of the rock during the fall would be constantly equal to the gravitational acceleration [tex]g[/tex].  

Since the acceleration of the rock during the fall was constantly [tex]a = g[/tex], the following SUVAT equation would apply:

[tex]\displaystyle x = \frac{1}{2}\, a \, t^{2} + v_{0}\, t[/tex].

Rearrange this equation to find an expression for acceleration [tex]a[/tex]:

[tex]\begin{aligned}a &= \frac{x - v_{0}\, t}{t^{2} / 2}\end{aligned}[/tex].

Convert the height and duration of this fall to standard units:

[tex]\begin{aligned}h &= 89\; \rm km \times \frac{10^{3}\; \rm m}{1\; \rm km} \\ &= 8.9\times 10^{4}\; \rm m\end{aligned}[/tex].

[tex]\begin{aligned}t &= 0.99\; \rm min \times \frac{60\; \rm s}{1\; \rm min} \\ &= 59.4\; \rm s\end{aligned}[/tex].

Substitute in the values to find the value of acceleration [tex]a[/tex]:

[tex]\begin{aligned}a &= \frac{x - v_{0}\, t}{t^{2} / 2} \\ &= \frac{89000\; \rm m}{(59.4\; \rm s)^{2} / 2} && (\text{Note that $v_{0} = 0\; \rm m\cdot s^{-1}$.}) \\ &\approx 50\; \rm m\cdot s^{-2} \end{aligned}[/tex].

By the assumptions above, the acceleration of this rock during this fall would be equal to the gravitational acceleration on this planet. Thus, [tex]g \approx 50\; \rm m\cdot s^{-2}[/tex] on this planet.

O=3, 9, 15, 21, 27, 33, 39 in set builder notation

Answers

Answer:its 6 because 3 + 6 is 9 + 6 is 15

Step-by-step explanation:

1/2 (3g - 2) = g/2 I need help

Answers

Answer:

g = 1

Step-by-step explanation:

1/2 (3g - 2) = g/2

3g - 2 = g

3g = g + 2

3g - g = 2

2g = 2 ÷ 2

g = 1

Solve for g
9+3.5g=11-0.5g

Answers

9 + 3.5g = 11 - 0.5g

Add 0.5g to both sides:
9 + 3.5g + 0.5g = 11 - 0.5g + 0.5g

9 + 4g = 11

Subtract 9 from both sides:
9 - 9 + 4g = 11 - 9
4g = 2

Divide both sides by 4:
4g/4 = 2/4

g = 1/2

Spoints
You are stenciling wooden boxes to sell at a fair. Stenciling takes 2 hours for a small box and 3 hours for a large box. Profit for a small box is $10 and $20 for a large box. If
you have no more than 30 hours available to stencil, but want at least 12 boxes to sell, how many of each size box should you sell to maximize your profit? (x = small boxes
and y large boxes)
Solve the problem to fill in the blanks below

Answers

The number of stenciled wooden boxes needed so as to maximize profit is 6 small boxes and 6 large boxes.

Let x represent small boxes  and y represent large boxes.

Since you have no more than 30 hours available to stencil, hence:

2x + 3y ≤ 30

Also, at least 12 boxes are required to sell, hence:

x + y ≥ 12

The solution to this problem gives:

x = 6, y = 6

Hence 6 small boxes and 6 large boxes are needed.

Find out more at: https://brainly.com/question/25285332

Answer:

Step-by-step explanation:

you will multiply the amount of small boxes which will be 12 x 8 = 96


Then the amount of small boxes which will be 17 x 3 = 51

You add them two tg 96+51 = 147

find the inverse of the function. f(q)=-9(q+6)^3

Answers

Answer:

[tex]f(q) = y = 9 {(q + 6)}^{3} \\ q = 9 {(y + 6)}^{3} \\ \frac{ \sqrt[3]{q} }{ \sqrt[3]{3} } = y + 6 \\ y = \frac{ \sqrt[3]{q} }{ \sqrt[3]{3} } \frac{ \sqrt[3]{3} }{ \sqrt[3]{3} } - 6 \\ y = \frac{ \sqrt[3]{q} \sqrt[3]{3}}{ {3} } - 6 = {f}^{ - 1} (q)[/tex]

In a car park the ratio of black cars to red cars are 3:4 If there are 12 black cars in the car park how many red cars are there?

Answers

Black cars = 3
12 divided by 3= 4
Red cars = 4x4=16
16 red cars

The length of a rectangle is 2.5
times its width. The length of
the rectangle is 12 cm. What is
the width of the rectangle?

Answers

Answer:

4.8 cm

Step-by-step explanation:

To find the answer, lets use the information we have. We need to find the width, or w. We know that is 2.5 times smaller than its length, and that the length is 12. So lets make an equation to solve:

12/2.5=w

We did this because we know that the length is 2.5 times bigger than the width, so to find the width we need to go 2.5 times smaller than the length, and the length is 12.

Now solve:

4.8=w

So the width of the rectangle is 4.8 centimeters.

Answer:

width = 4.8 cm

Step-by-step explanation:

let width be w then length = 2.5w

Given length = 12 cm , then

2.5w = 12 ( divide both sides by 2.5 )

w = 4.8

That is width = 4.8 cm

The ratio of blue crayons to red crayons in a classroom is 32:28. The classroom has 16 blue crayons.

How many red crayons are in the classroom?

Answers

32/28=16/x
32x= 448
x=14
There are 14 red crayons in classroom

Answer:

14 red crayons

Step-by-step explanation:

since we already know the ratios of the crayons we are going to use ratio and proportion to solve our question B:R is 32:28 and they are directly proportional meaning we can scale the quantities by multiplying.32:28 and 16:R , r is the unknown quantity ,then we cross multiply  the 2 ratios to get 32R= 448, then we divide by32 both sides so we can remain with the value of R which is 14

Nick and Charlie were each trying to solve 3x+9=4x−5. Describe the first step they each make to the equation.

Drag and drop the correct response to the space

Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.

The result of Nick's first step was −x + 9 = −5

1. What was Nick's first step?

The result of Charlie's first step was 9 = x - 5

2. What was Charlie's first step?

Answers

Nick's first step was to subtract 4x from both sides of the equation:

     3x - 4x + 9 = 4x - 4x - 5

             -x + 9 =  - 5

Charlie's first step was to subtract 3x from both sides:

     3x - 3x + 9 = 4x - 3x - 5

                    9 = x - 5

Nick's first step is to bring 4x left and Charlie's is to take 3x right-hand side.

What is the equation?

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

More than one variable may be present inside a linear equation. An equation is said to be linear if the maximum power of the variable is consistently unity.

A formula known as an equation uses the same sign to denote the equality of two expressions.

Given the equation,

3x+9=4x− 5

1. The result of Nick's first step was −x + 9 = −5

So,

3x - 4x + 9 = -5 ⇒ -x + 9 = -5

2. The result of Charlie's first step was 9 = x - 5

3x+9=4x−5

 

9 = 4x - 3x - 5 ⇒ 9 = x - 5

Hence "Nick's first step is to bring 4x left and Charlie's is to take 3x right-hand side".

For more about the equation,

brainly.com/question/10413253

#SPJ2

Please help!!! geometry

Answers

Answer:

17

1234

4567

56783

56743

what is the effect when a number is added or subtracted to the x (in the bracket)of equation of basic parabola?

Answers

When we simply add or subtract a constant to/from the end of a function the effect on the graph is to raise or lower the whole graph by x units. If x is negative, the translation is downward, and if x is positive the translation is upward.

in which expressions with exponents be multiplied ? ill give you brainliest fr. or however you spell it

Answers

Answer:

7^3 x 7^8

Step-by-step explanation:

I used a calculator, pls let me know if im incorrect

what is the final position on the number line "-3," 8, "-4"

Answers

Answer:

1

Step-by-step explanation:

just add the values,,,, i.e,

-3+8-4=1

6 identical bags and 3 identical shirts cost 126. 3 such bags cost as much as 2 shirts. what is the cost of one such shirt ?

Answers

Answer:

18

Step-by-step explanation:

Write the information algebraically:

6b + 3s = 126

3b = 2s

(b = bags, s = shirts)

The second line in bold means that we can replace 6b with 4s

3b = 2s (multiply both sides by 2)

∴ 6b = 4s

so, 4s + 3s + 126

Now simplify:

7s = 126

We can now find s by dividing both sides by 7:

s = 126 ÷ 7 = 18

1 shirt costs 18

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