Blake and Josh are both saving money for a new bike. The ratio of Blake's savings to Josh's savings is 3:1. If they have saved $400, how much has each boy saved?

Answers

Answer 1

Given:

Total savings = $400

Ratio of savings of Blake and Josh = 3:1

To find:

The saving of each.

Solution:

Let the savings of Blake and Josh are 3x and x respectively.

According to the question,

[tex]3x+x=400[/tex]

[tex]4x=400[/tex]

Divide both sides by 4.

[tex]x=100[/tex]

Now,

Savings of Blake = 3(100)=300

Savings of Josh =100

Therefore, the savings of Blake and Josh are $300 and $100 respectively.


Related Questions

A wire 45 meters long is cut into two pieces, One piece is 5 meters longer than the other. What is the length of the two pieces? Create an equation and solve .

Answers

Given:

A wire 45 meters long is cut into two pieces

One piece is 5 meters longer than the other.

To find:

The length of the two pieces.

Solution:

Let length of one piece be x.

One piece is 5 meters longer than the other. So,

Length of another piece = x+5

Total length of wire is 45. So,

[tex]x+(x+5)=45[/tex]

[tex]2x+5=45[/tex]

Subtract 5 from both sides.

[tex]2x=45-5[/tex]

[tex]2x=40[/tex]

Divide both sides by 2.

[tex]x=\dfrac{40}{2}[/tex]

[tex]x=20[/tex]

Now,

Length of one piece = 20 meters

Length of another piece = 20 + 5

                                        = 25 meters

Therefore, the length of two pieces are 20 and 25 meters.


Why is it impossible to represent a vertical line using the slope-intercept form and the point-slope form of a linear equation?

Answers

Answer:

Both equations include the slope, which is undefined for a vertical line.

Step-by-step explanation:

it just is lol

can somebody help me with this please.​

Answers

I don't know what number 1 and number 2 mean,

3:11

4

5:-3

6:-8

You can find the answer below. Among the questions I answered correctly, I hope to adopt it at the end. Thank you. Have a nice day.

There are 25 students in Ms. Nguyen’s second grade class. In the class election, 4 students Voted for Benjamin, 12 voted for Sahil, and 9 voted for Maria.

What percent of the class voted for Maria

Answers

Answer:

36%

Step-by-step explanation:

What is the slope of the line through (3,7) and (-1,4)

Answers

Answer:

[tex]m=\frac{3}{4}[/tex]

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Alg I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (3, 7)

Point (-1, 4)

Step 2: Solve for slope m

Substitute:                    [tex]m=\frac{4-7}{-1-3}[/tex]Subtract:                       [tex]m=\frac{-3}{-4}[/tex]Simplify:                        [tex]m=\frac{3}{4}[/tex]

Answer:

4/3

Step-by-step explanation:

Use the formula rise/run. But first, if you plot this on a graph, (-1,4) will come first because its x value is smaller. So, for this, let's look at (-1,4) first.

To get from -1 to 3, you must rise 4 units. To get from 4 to 7, you must run 3 units.

So, if you put this together, you will get 4/3!

Hope I helped!!!!

someone please explain

Answers

Explain what? What would you like help with? :)

Answer:

whats ur question

Step-by-step explanation:

Whats a negative number that has an absolute value greater than 10

Answers

Answer:

-11

Step-by-step explanation:

Absolute value means the distance from 0 so in this case, anything that is 10+ from 0 will work

Answer:

-11

Step-by-step explanation:

The absolute value of -11 is 11, and that is greater than 10.

I hope you enjoyed the answer, and if it was helpful, please mark this as brainliest! Thank you! :)

whats the slope for (-2,4) and (10, -2)

Answers

Answer:

-1/2

Step-by-step explanation:

y2-y1 over x2-x1

-2-4 over 10+2

which equals -6/12

which simplifies to -1/2

Answer:

-1/2

Step-by-step explanation:

Slope formula- m = y2 - y1

                                x2 - x1

x1,y1

-2, 4

x2,y2

10,-2                   -2 - 4

                           10 - (-2)  = -6/12 = -1/2                      

4 2/3 miles in 3/4 hour
4/23 divided by 3/4 ?

NEED FAST ANSWERS !

Answers

Answer:

= 12 miles per hour

Step-by-step explanation:

This is a fraction equal to

30 miles ÷ 2.5 hours

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 2.5

30 miles ÷ 2.5

2.5 hours ÷ 2.5

=  

12 miles

1 hour

=  

12 miles

hour

= 12 miles per hour

im having trouble figuring out what this question means |7| + -4=?

Answers

Answer:

3

Step-by-step explanation:

It means absolute value 7 plus -4

This means that if it were a -7, it would become positive because it is under absolute value bars...since it is positive nothing changes

7-4= 3

HELP!!!!!!!!!!!!!! I ONLY HAVE 5 MIN TO TURN THIS IN!!!!

Answers

Answer:

I think A but I might be wrong

Find the value of 4x2 – 2y when x = 3 and y = 2.

Answers

Answer:20

Step-by-step explanation:

4(3)2-2(2)

12(2)-4

24-4=20

What is the constant of proportionality

Answers

Answer:

It is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate.

Step-by-step explanation:

Please help I really need it I am in a timed test I will choose brainliest!

Write the standard form of the equation of a line with a slope of -4 passing through the point (1, -4).

Select one:
a. -4x - y = 0
b. -x - 4y - 15 = 0
c. x + 4y + 15 = 0
d. 4x + y = 0

Answers

I think the answer is a.

Answer:

Step 1: We must determine the equation of the line in slope-intercept form* by solving for b.

[tex]-4 = -4(1) + b\\\\-4 = -4 + b\\\\0 = b[/tex]

Step 2: Now we write the equation in slope-intercept form.

[tex]y = -4x[/tex]

Step 3: We can now change the above equation to standard form by moving variables to one side.

[tex]y = -4x\\\\4x + y = 0[/tex]

Our answer is D. 4x + y = 0.

*Slope-intercept form: y = mx + b.

Find an equation for the line below in y=mx+b

Answers

Answer:

y = -1/2x - 11/2

Step-by-step explanation:

Using slope intercept form y = mx + b, to determine the equation, first count the rise(vertical or change in y), and run(horizontal or change in x) of the line.

m is the slope, b is the y-intercept which will remain when x is 0 as this will cancel out the m.

Be careful when determining the slope, and pay attention to the steps(count) of the x, and y axis.

As this graph measures a line with a negative slope passing through the y axis at -5 1/2 → -11/2, with a step of 1, we can count the squares normally to determine the slope.

So since we know that this line has two obvious points (-5,-3) and (1,-6) we can use the equation for slope to measure it's steepness.

m = y2-y1/x2-x1

with (x1,y1) being the first point, and (x2,y2) being the second point.

So: (negative minus a negative makes a positive)

m = -6-(-3)/1-(-5) = -6 + 3/ 1 + 5 = -3/6 = -1/2.

Since m = -1/2, and b = -11/2, the line must be y = -1/2x - 11/2.

This is actually really confusing please help me out.

Answers

Answer:

a ball bouncing off a wall

Step-by-step explanation:

Think of it like how if you would flash a flashlight at a mirror it would reflect off of it right? And it would go the opposite way. So it’s like a ball that u throw at a wall because a ball would bounce off the fall going opposite. I hope that makes sense. ^^

Which equation represents a line parallel to ?
A. 2x-4y=28
B. 4x+2y=10
C. 4x-2y=10
D. 2x+4y=10

Answers

Answer:

b

Step-by-step explanation:

What’s it the slope of the line

Answers

Answer:

3/4

Step-by-step explanation:

the graph point starts at the y-intercept 1 and then moves 4 digits forward and 3 digit upward

Answer:

Since the slope doesn't go down we can safely ignore -3/4 and -4/3.

The slope goes up 3 and 4 to the right.

y = 3

x = 4

y/x

so the answer is 3/4

PLA HELP ME 100 POINTS FOR TO ANSWER
The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the
function?
O Locate the ordered pair (0, -6). From that point on the graph, move up 2, right 1 to locate the next ordered pair or
the line. Draw a line through the two points.
O Locate the ordered pair (0, -6). From that point on the graph, move up 2, left 1 to locate the next ordered pair on
the line. Draw a line through the two points.
O Locate the ordered pair (-6, 0). From that point on the graph, move up 2, right 1 to locate the next ordered pair on
the line. Draw a line through the two points.
O Locate the ordered pair (-6, 0). From that point on the graph, move up 2, left 1 to locate the next ordered pair on
the line. Draw a line through the two points.

Answers

Answer: A

Step-by-step explanation: e2020

Answer:

one

Step-by-step explanation:

simplify the expression: 3x + 5 + 7x=

Answers

The answer would be 10x + 5

Hello!

The answer is 10x + 5!

Hopefully this helps! <3 ^^

A car with a mass of 500 kg is accelerating at 10 m/s². What is the force being applied the car’s engine?

Answers

Answer:

M=500kg

a=10m/s^2

By formular:

F=ma

F=500*10

F=5000N

Plzz help!!!
What is the value of both these problems?

Answers

The first one will be 71 as the answer. The second one 62 as an answer

Problem 2

We have an isosceles triangle because of the two congruent sides (21 each).

The angles opposite the congruent sides are known as the base angles, and the base angles are congruent. For now, we don't know what they are. They are both x. I recommend writing 'x' onto the diagram where that missing unmarked angle is.

Then we'll use the idea that all three angles of any triangle always add to 180

x+x+38 = 180

2x+38 = 180

2x = 180-38

2x = 142

x = 142/2

x = 71

Answer: Choice A) 71

=======================================================

Problem 3

We use the same ideas as the previous problem. This time the base angles are 56 degrees each. The remaining angle is x.

x+56+56 = 180

x+112 = 180

x = 180-112

x = 68

Answer: Choice A) 68

11-11-29 Daily work ( Go math 4.3)

Answers

Bruhhhhhhhhhhhhhhhhhhhhh

Please help with this assignment

Answers

Answer:

3

Step-by-step explanation:

Answer:

24 yards long

please help me there are more questions after this.

Answers

Well give me a list of questions and I will try to solve them for you.

Find the distance between the two points in simplest radical form.
(8, -3) (6, -8)

Answers

Answer:

[tex]d = \sqrt{29}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra II

Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Point (8, -3)

Point (6, -8)

Step 2: Find distance d

Substitute:                    [tex]d = \sqrt{(6-8)^2+(-8+3)^2}[/tex]Subtract/Add:               [tex]d = \sqrt{(-2)^2+(-5)^2}[/tex]Exponents:                   [tex]d = \sqrt{4+25}[/tex]Add:                              [tex]d = \sqrt{29}[/tex]

What is the answer to this equation? -(x-10)=7

Answers

Answer:

x=3

Step-by-step explanation:

-(x-10)=7

-x+10=7

-x=-3

x=3

-(3-10)=7

Thomas went to the store to buy video games for $13.50 each and controllers that cost $55 each and controllers. the total amount that Thomas spent can be represented by c=13.50+p, where c is the total cost, g is the number of games he bought, and p is the cost of the controllers. the controllers cost $55 and Thomas spent $136 total

Answers

Answer:6 games

Step-by-step explanation:

Thomas spent a total of 136 dollars so you subtract 55 from 136 and divide by 13.50 to get 6.

Fedex typically deleviers 2,400 packages per day and uses 75 trucks for delivery. If the number of trucks used per day is proportional to the number of packages delivered, how many packages would be delivered if there are 100 trucks avilable?
A 3.200 packages
B 1.800 packages​

Answers

Answer:

A

Step-by-step explanation:

In a​ company, ​95% of the workers are men. If 125 people work for the company who​ aren't men ​, how many workers are there in​ all? Use pencil and paper. Show two different ways that you can solve this problem.


ill give you brainliesttttt

Answers

Based on the percentage of men workers in the company, the total number of workers is 2,500.

What is the percentage?

The percentage is the fractional value of a variable concerning another.

Percentages are like ratios and proportions, which show the numerical relationship between the independent and dependent variables.

The percentage of men workers = 95%

The number of non-men workers = 125

The percentage of non-men workers = 5% (1 - 95%)

If 5% of the workers are 125, the total number of workers, 100% = 2,500 (125/5% x 100%).

Check:

Men workers = 95% = 2,375

Non-men workers = 5% = 125

Total = 2,500

Thus, given the percentage of men workers as 95%, the total number of workers in the company is 2,500.

Learn more about percentages at brainly.com/question/24877689

The total number of workers in the company is 2,500.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given,

In a​ company, ​95% of the workers are men.

125 people work for the company who​ aren't men.

We need to find number of workers working in the company.

The percentage of men workers = 95%

The number of non-men workers = 125

The percentage of non-men workers = 5% (1 - 95%)

Men workers = 95% = 2,375

Non-men workers = 5% = 125

If 5% of the workers are 125

the total number of workers, 100% = 2,500 (125/5% x 100%).

Total = 2,500

Thus, given the percentage of men workers as 95%, the total number of workers in the company is 2,500.

Hence the total number of workers in the company is 2,500.

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ2

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