spilled $40 into the ratio of 3:7

Answers

Answer 1

Answer:

$12/$28

Step-by-step explanation:

Let x and y represent the two amounts of money adding up to $40.

Assume that x is the smaller amount.  Then:

 x        3

----- = -----    Remembering that x + y = $40, we get x = $40 - y

 y        7

amd sp we have

 $40 - y          3

-------------- = ------   which, after cross-multiplication, is $280 - $7y = 3y

       y             7

Simplifying this, we get $280 = 10 y, so that y must be $28.  If y = $28, x must be $40 - $28, or $12.

                                                                             $12

Then $40, split in the ratio 3/7, is the ratio ----------------

                                                                            $28

Check:  Note that $12 + $28 = $40, as required, and that $12/$28 = 3/7.


Related Questions

What is the solution set of (x - 2)(x - 3) = 2?.

Answers

The solution set is X=1 and x=4

y/−7 = 1 /4 what does y =

Answers

Answer:

y = - [tex]\frac{7}{4}[/tex]

Step-by-step explanation:

[tex]\frac{y}{-7}[/tex] = [tex]\frac{1}{4}[/tex] ( cross- multiply )

4y = - 7 ( divide both sides by 4 )

y = - [tex]\frac{7}{4}[/tex]

My friends the answer is -7/4 Explanation:y/(-7) = 1/4 // - 1/4    y/(-7)-(1/4) = 0 y/(-7)-1/4 = 0 -1/7*y-1/4 = 0 // + 1/4 -1/7*y = 1/4 // : -1/7 y = 1/4/(-1/7) y = -7/4

A certain shampoo is available in two sizes. A 14.2-ounce bottle costs $4.99 . A 23.7 -ounce bottle costs 6.97 .
Find the unit price for each size. Then state which size is the better buy based on the unit price.

Answers

Answer:

First bag unit price: 2.85

Second bag unit price : 3.40

first bag is better.

Step-by-step explanation:

divide the weight by cost



2. Explain the relationship between depression and heart disease.

Answers

Answer:

People with depression may have uncommonly sticky platelets, the tiny cells that cause blood to clot. In patients with heart disease, this can accelerate atherosclerosis (hardening of the arteries) and increase the chance of heart attack. Some studies show that treating depression make platelets less sticky again.

Answer:

People with depression may have uncommonly sticky platelets and tiny cells that cause blood to clot.

Patients with heart disease can accelerate atherosclerosis (hardening of the arteries) and increase the chance of heart attack.

For people with heart disease, depression can increase the risk of an adverse cardiac event such as a heart attack or blood clots.

PLEASE HELP! WILL GIVE BRAINLIEST (NO LINKS)


1. What is the probability of rolling a total of 7 or 11 with two 6-sided dice

2. What is the probability of rolling a total less than 5 with two s6-sided dice

3. What is the probability of rolling a total of 10 with a 6-sided dice and a 8-sided dice

Answers

Answer:

1. 2/9

2. 1/3

3. 112

Step-by-step explanation:

En la figura, BE y AD son segmentos, AB = 4 y AC = 3. Se puede determinar el perímetro del triángulo
CDE si:

Answers

Answer:

AD=7,BE=6,AB=4,AC=3.

Examine the table, which represents a linear function.
What is the rate of change of the function?
Input (x) Output (y)
-5 18
−3 23
−1 28
1 33

Answers

Answer:

I believe it should be 3 23

Answer:

  2.5

Step-by-step explanation:

The rate of change can be found from the slope formula.

  m = (y2 -y1)/(x2 -x1)

Using the first two lines of the table, we find ...

  m = (23 -18)/(-3 -(-5)) = 5/2

The rate of change of the function is 5/2 = 2.5.

PLEASE HELP Me!!!!!!!!!!

Answers

Answer:84

Step-by-step explanation:

hope this helps :))

Jolene McCall posted a new announcement in 7th period STEM 8th grade - S1

Bellwork: open a word document and type the following:
What are the 5 forms of energy?
Give an example of each to discuss in class in a few minutes.
Agenda: day 2 notes on alternate energy
Assignment chose one of the 2 to complete

Posted nov 16 by Jolene McCall

10 x f(7) +9 x g(-1)=

Answers

the answer is 78

Step-by-step explanation:

10×7+9x-1=78

Answer: The answer is -1

Step-by-step explanation:

Solve the system of equations using elimination.

6y−4x=20−4y+3x=−12


(4, 6)

(−4, 6)

(−4, −6)

Answers

Answer: A. (4,6)

Step-by-step explanation: 2(6y−4x = 20)                                                   3(−4y+3x = −12)                                                                                                     −8x+12y = 40                                                                                                     9x−12y = −36                                                                                                   -8x+9x                                                                                                                 +12y-12y                                                                                                               40-36                                                                                                                     x=4                                                                                                                   6y−4x = 20                                                                                                       6y−(4)(4) = 20                                                                                                   6y−16+16 = 20+16                                                                                                 6y/6 = 36/6                                                                                                           y = 6                                                                                                                       x = 4, and y = 6.

The solution for the given system of equations is (4, 6). Therefore, option A is correct answer.

The given system of equations are 6y-4x=20 and -4y+3x=-12.

What is a linear system of equations?

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Here,

6y-4x=20 ----------(I) and -4y+3x=-12 ----------(II)

Multiply equation (I) by 3, we get

-12x+18y=60 ----------(III)

Multiply equation (II) by 4, we get

12x-16y=-48 ----------(IV)

Add equation (III) and (IV), that is

-12x+18y+(12x-16y)=60-48

⇒ 2y=12

⇒ y=6

So, 6y-4x=20

⇒ 36-4x=20

⇒ -4x=-16

⇒ x=4

The solution for the given system of equations is (4, 6). Therefore, option A is correct answer.

To learn more about the linear system of an equations visit:

https://brainly.com/question/27664510.

#SPJ2

Domain and rangeeeeeee

Answers

Answer:

domain: -4 ≤ x ≤ 2

range: 2 ≤ y ≤ 6

Step-by-step explanation:

find the highest common factor of 9, 12 and 15​

Answers

Hello there! :)

The highest common factor of 9, 12, and 15 is 3.

To find the HCF (also called the GCF) of two or more numbers, we list their factors:

9: 1, 3, 9

12: 1, 2, 3, 4, 6, 12

15: 1, 3, 5, 15

Can you see that 3 is their GCF?

Hope this helps!

~Just a determined gal

#CarryOnLearning

[tex]MysteriousNature[/tex]

Help me please!! :) :)

Answers

THE SECOND AND THIRD ANSWERS

What is between 8.79 and 8.80 on a numberline

Answers

Answer:

8.795 is exactly half way between them

Step-by-step explanation:

That is the difference between them

Rewrite the 4cm: 8km as a ratio in the form 1: n

Answers

Answer:

1 : 200000

Step-by-step explanation:

4 cm ⇒ 8 km

4 cm ⇒ 8 × 1000m

4cm ⇒ 8000m

4 cm ⇒ 8000 × 100 cm

4 cm ⇒ 800000cm

4 : 800000

[tex]\frac{ 4 \:\::\:\ 800000}{4}[/tex]

1 : 200000

Therefore,

1 : n

1 : 200000

Hope this helps you.

Let me know if you have any other questions :-)

1:2000000000 there



From my calculations that’s the last one

pls someone help me with this ixl question

Answers

Hi!

(5+d)+(-8)=(5+d)-8

Hence, this is the required solution.

~SparklingFlower :)

(5+d)-8= 5+d-8= d-3


1. 5-8= -3

need help urgently vvvvvvv

Answers

Make a line that goes up 3 right 4 that passes through the coordinate (2,-3)

Yw ;)

Step-by-step explanation:

you understand coordinates and how to find them in the chart, yes ?

because I can't draw here, I can only give you the points through which the line has to go.

one point is, of course, (2, -3).

to find another good point we use the slope 3/4.

the slope is the ratio of y change/x change when going from one point to another.

so, we find another point with integer coordinates by e.g subtracting the slope units from the point (addition would also work) :

the other point on the line would be

(2 - 4, -3 - 3) = (-2, -6)

and then you draw a line that goes through both points.

5874.9 divided by 347

Answers

Answer:

Step-by-step explanation:

16.9305475504

Which of the following could be a value for a bearing, written in the correct
format?
07°
0007°
007°


Answers

Answer:007

Step-by-step explanation:Bearings are a measure of direction, with North taken as a reference.

If you are travelling North, your bearing is 000°, and this is usually represented as straight up on the page.

If you are travelling in any other direction, your bearing is measure clockwise from North.

X According to a survey, 60 sixth grade students at Madison Middle School attended a summer camp. This is 30% of the entire sixth grade. How many students are in the sixth grade?

Answers

Answer: total is 200

Step-by-step explanation:

30% = 60

10% = 60/3 = 20

100% = 200

HELP PLS! Suppose the year of car accidents per day in Wilmington NC has been recorded for the past year. The table below is a probability distribution table representing the data collected.
1) what is the probability that on a randomly selected day there were no accidents?

2) find the probability there will be at least 2 accidents

3) on any given day how many accidents should the Wilmington police expect to have.

Answers

According to the discrete distribution given:

1) There is a 0.18 = 18% probability that on a randomly selected day there were no accidents.

2) There is a 0.7 = 70% probability that there will be at least 2 accidents.

3) On any given day, the Wilmington police should expect to have 2.03 accidents.

The distribution is:

[tex]P(X = 0) = x[/tex]

[tex]P(X = 1) = 0.12[/tex]

[tex]P(X = 2) = 0.32[/tex]

[tex]P(X = 3) = 0.25[/tex]

[tex]P(X = 4) = 0.13[/tex]

Item 1:

The sum of the probabilities has to be 100% = 1, hence:

[tex]x + 0.12 + 0.32 + 0.25 + 0.13 = 1[/tex]

[tex]x + 0.82 = 1[/tex]

[tex]x = 0.18[/tex]

0.18 = 18% probability that on a randomly selected day there were no accidents.

Item 2:

This probability is:

[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) = 0.32 + 0.25 + 0.13 = 0.7[/tex]

0.7 = 70% probability that there will be at least 2 accidents.

Item 3:

The expected value is the sum of each outcome multiplied by it's respective probability, hence:

[tex]E(X) = 0.18(0) + 0.12(1) + 0.32(2) + 0.25(3) + 0.13(4) = 2.03[/tex]

On any given day, the Wilmington police should expect to have 2.03 accidents.

A similar problem is given at https://brainly.com/question/25653146

Name the 5 Steps to solving equations and inequalities.

Answers

Answer:

Step 1 : First, solve one linear equation for y in terms of x .

Step 2 : Then substitute that expression for y in the other linear equation. ...

Step 3 : Solve this, and you have the x -coordinate of the intersection.

Step 4 : Then plug in x to either equation to find the corresponding y -coordinate.

Step-by-step explanation:

Solve the equation √7x-6=x-2. Identify any extraneous solutions. Show your work

Answers

√7x-6=x-2
(√7x-6)^2=(x-2)^2
7x - 6 = x^2 - 4x + 4
x^2 - 11x + 10
(x - 1)(x - 10) = 0

x = 1 and x = 10

√7(1)-6 = 1-2 is false, so 1 is an extraneous solution

√7(10)-6 = 10-2 is true, so it is a solution.

what’s the gcf of 56 and 90

Answers

Answer:

2

Step-by-step explanation:

Answer:

2

[tex] \: \: \: \: \: \: \: [/tex]

The elves have $120 to spend on boxes of candy canes and boxes of ornaments. Each box of candy canes costs $3.00
and each box of ornaments costs $12.00. Let x represent the boxes of candy canes and y represent the boxes of
ornaments. Write an equation that describes the number of boxes of candy canes and ornaments that the elves can
buy.

Answers

Answer:

[tex]3x + 12y = 120[/tex]

If this problem needs solved like the other one I answered with the reserved seats and general admission, it is done the exact same way as that one.

need helps i will give brainliest

Answers

Answer:

2401

Step-by-step explanation:

two thousand four hundred and one

Step-by-step explanation:

First let's put your equation

[tex]7 {}^{4} [/tex]

This also be phrased as

[tex]7 \times 7 \times 7 \times 7[/tex]

Now let's start solving

[tex]49 \times 7 \times 7 [/tex]

Multiply again and we get

[tex]343 \times 7[/tex]

and finally when we multiply again

[tex]2401[/tex]

Have a good day :) !

Please help me





20 points

Answers

Answer:

1). Simplify the expression.

Exact Form:

( [tex]\frac{37}{25}[/tex] )

Decimal Form:

1.48

Mixed Number Form:

( [tex]1\frac{12}{25}[/tex] )

2). Simplify the expression.

91.46

3). Simplify the expression.

Exact Form:

[tex]\frac{17}{24}[/tex]

Decimal Form:

0.7083  ( bar notation)

4). Simplify the expression.

81.49

How do you write 2,020 in scientific notation?

Answers

Answer:

a x 10b or 2.02 x 10³

Step-by-step explanation:

Have a great day!

Estimate a 15% tip a dinner bill of $47.64 by rounding a bill amount to the nearest ten dollars

Answers

Answer:

$7.14

Step-by-step explanation:

$47.64 to $47.6

47.6*15/100

=$7.14

(I maybe wrong though lol)

(5x-3=3x+29 )what is the value of X?

Answers

Answer: x=16

Step-by-step explanation:

Move the variable to the left-hand side and change its sign

5 x - 3- 3 x =29

Move the constant to the right-hand side and change its sign

5 x - 3 x = 29 + 3

Collect like terms

2 x = 29+ 3

Add the numbers

2x= 32

Divide both sides by 2

and you get x=16

Step-by-step explanation:

5x - 3 = 3x + 29

5x - 3x = 29 + 3

2x = 32

x = 32/2 = 16

x = 16 ans

therefore, value of x is 16.

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE

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