Josh, Ben and Rick have 70 marbles altogether. The ratio of the number marbles Josh has to the number of marbles Rick has is 1: 2. However, Ben has 15 marbles fewer than Rick. How many marbles does Ben have?

Answers

Answer 1

Answer:

Ben has 19 marbles

Step-by-step explanation:

First taking that josh and ricks ratio is 1:2, this would set up in an equation as [tex]2j = r[/tex] and with ben having 15 less than rick, his formula would be [tex]r = b + 15[/tex] as well as the total of all the boys marbles together being this [tex]j+r+b=70[/tex]

Now we put all of these equations into a set to answer them.

[tex]2j = r\\ r = b + 15\\j+r+b=70[/tex]

First we solve for j

[tex]2j = r\\ j=\frac{1}{2} r[/tex]

Then substitute j

[tex]j+r+b=70\\ \frac{1}{2}r+r+b=70\\ 2b+3r=140[/tex]

Then simplify and multiply by 2 to even out

[tex]r = b + 15\\ -b+r=15\\2b+3r=140[/tex]

Now eliminate the b variable and combine equations

[tex]2b+3r=140\\-2b+2r=30[/tex]

[tex]5r=170[/tex]

Now divide and solve for r

[tex]5r=170\\r=34[/tex]

Now we know Rick has 34 marbles of the 70 marbles, so we can substitute his number back into the original equation

[tex]-b+34=15\\b=19[/tex]

Now we know Ben has 19 marbles of the remaining 36, and can substitute his number as well

[tex]j=\frac{1}{2}(34)\\j=17[/tex]

And now we know how much everyone has, to check we rewrite all the equations with their respective numbers

[tex]11+34+19=70\\2(17)=34\\34=19+15[/tex]

[tex]70=70\\34=34\\34=34[/tex]

Which means the ordered pairing of (b, j, r) is (19, 17, 34)


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what happens to the total mass of the atoms involved in a chemical reaction

Answers

There won't be any change in the total mass of the atoms involved in a chemical reaction. According to the law of conservation of mass; it states that mass can neither be created nor destroyed in a chemical reaction. So, when atoms participate in a chemical reaction they might displace with other reactants but the total mass will remain the same.

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RainbowSalt2222 ☔

Write the explicit formula for
-1,-3,-9,-27,-81...

Answers

Answer:

[tex]- \frac{1}{3} * 3^n[/tex]

Step-by-step explanation:

This is a geometric sequence/progression

Therefore, we use the formula [tex]a_{n} = \frac{a_{1} * r^n}{r}[/tex]

Where [tex]a_{1}[/tex] [tex]=[/tex] [tex]-1[/tex],

and [tex]r = 3[/tex]

[tex]a_{n} = \frac{-1 * 3^n}{3}[/tex]

[tex]a_{n} = -\frac{1}{3} * 3^n[/tex]

Find the missing angle measurement in each set of supplementary angles.

Answers

Answer:

126°

Step-by-step explanation:

180-54 = 126

Supplementary angles form 180°. Let's take the missing angle as 'x'.

54° + x° = 180°

x = 180° - 54°

x = 126°

=》 Angle LJK = 126°

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Answers

Answer:

1. 2025

2. 737

3. 1365

4. 866

5. 923

6. 1662

7. 2013

8. 1562

9. 2400

Step-by-step explanation:

These are the answer

Question 1 of 1
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Current Attempt in Progress
Mary Smith opened her interior design firm, KM Designs. Transactions made by KM Designs for the month of August are shown below.
1.
The owner invested $8,000 cash in the business.
2
The company purchased $3.200 of office equipment on credit
3.
The company received $2,400 cash in exchange for services performed.
4.
The company paid $320 for utilities in August.
5.
The owner withdrew $800 cash for personal use.
Your answer is partially correct.
Prepare a transaction analysis using T-accounts.
Assets

Answers

The first animal of the can of Stewart little was awarded awesome dissatisfaction based upon the cooking rewards the ants liked the food

What statement describes the decimal equivalent of 3/ 8 ?

Answers

Answer:

0.375

Step-by-step explanation: All you need to do is divide 3 and 8

What is the value of x?
Y
672
45
6V2
O 6
12
3

Answers

Answer:  12

Step-by-step explanation:

A 45 degree angle in a right triangle means that the third angle is also 45 degrees (180 -(90+35)) = 45.  Two 45 degree angles in a right triangle means that the two sides will be equal.  So we can find the hypotenuse, x, by:

(6[tex]\sqrt{2}[/tex])² + (6[tex]\sqrt{2}[/tex])² = x²

(6[tex]\sqrt{2}[/tex])² = 36*2 or 72

72 + 72 = x²

x² = 144

x = 12

Randy ran 3 1/3 on Saturday and 1 1/2 miles on Sunday. How many total miles did Randy run

Answers

Answer:

4 7/12

Step-by-step explanation:

.−3(4x + 3) + 4(6x + 1) = 43
What is the solution?

Answers

Answer:

  x = 4

Step-by-step explanation:

After you simplify the left side by eliminating parentheses and collecting terms, you have a 2-step linear equation.

  -3(4x +3) +4(6x +1) = 43 . . . . . . given

  -12x -9 +24x +4 = 43 . . . . . eliminate parentheses

  12x-5 = 43 . . . . . . . . . . . collect terms (now a 2-step equation)

  12x = 48 . . . . . . . . . . step 1, add the opposite of the unwanted constant

  x = 4 . . . . . . . . . . . step 2, divide by the coefficient of x

The solution is x = 4.

__

Check

  -3(4·4 +3) +4(6·4 +1) = 43 . . . . substitute for x

  -3(16 +3) +4(24 +1) = 43

  -3(19) +4(25) = 43

  -57 +100 = 43 . . . . . true

Sale price = original price - rate of discount is the formula we used if original price and rate of discount are given. True or False, provide some explanation​

Answers

Answer:

I say true

Step-by-step explanation:

How to calculate discount and sale price:

Find the original price (for example $90 )

Get the discount percentage (for example 20% )

Calculate the savings: 20% of $90 = $18.

Subtract the savings from the original price to get the sale price: $90 - $18 = $72.

And You're all set!

Answer:

False

Step-by-step explanation:

Sale price = original price - rate of discount * original price

Rate of discount is a percent  so we need to multiply by the original price to get a a price so that all the units are the same.

Find the percent of each number mentally.

A video controller cost $39. If a 6.75% sales tax is added, what is the total cost?

A. $2.63
B. $28.95
C.$41.63
D. $45.75

Answers

the correct answer is C

The total cost of the video controller is $41.63.

The correct option is C.

What is a percentage?

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

A video controller cost $39.

If a 6.75% sales tax is added,

that means,

6.75% of 39,

= 6.75 x 39 / 100

= 2.6325 taxed amount.

The total cost = 39 + 2.6325 = 41.63.

Therefore, $41.63 is the total cost.

To learn more about the percentage;

https://brainly.com/question/24159063

#SPJ2

Find the missing side. Round to the nearest tenth, if necessary.


Answers

Answer:

Apply the concept of:

a²+b²=c²

1. 5²+4²=c²

  25+16=c²

        c²=41

         c=6.4 (to nearest tenth)

Do the same for the other qns.

BRAINLIEST FOR CORRECT ANSWER NEEDS HELP ASAP
At Chrissy's Clothes Warehouse, it takes fraction 2 over 5 of a day to complete fraction 1 over 10 of an order of t-shirts. At this rate, how long will it take to complete the entire order of t-shirts?
4 days
Mixed number 10 and 2 over 5 days
Mixed numbers 12 and 1 over
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25 days

Answers

Answer: 4 days

Step-by-step explanation:

Please help me and
explain how you got the answer

Answers

Answer:

x = 7°

Step-by-step explanation:

∠WST is an exterior angle of the triangle

The two interior angles (5x - 1) and (57) add up to WST ( 12x + 7) because they are the non-adjacent interior angles

Solve:

(5x - 1) + (57) = (12x + 7)

5x - 1 = 12x - 50

-1 = 7x - 50

49 = 7x

x = 7

-Chetan K

shelley has 16.5 ounces of frosting that she wants to divide into 4 equal servings to frost four different cupcakes. how many ounces of frosting should she put on each cupcake

Answers

Answer: 4.125

Step-by-step explanation: just divide it but 4 and thats how i got it

16. To get to school, Enzo can travel 1.2 km
east on Rutherford Street and then south
on Orchard Avenue to his school. Or, he
can take a shortcut through the park, as
shown. His shortcut takes him 20 min.
a
Rutherford Street
home
Orchard Avenue
shortcut
school
Enzo's walking speed is 6 km/h.
a) What angle does Enzo's shortcut make
with Rutherford Street? Describe any
assumptions you must make.
b) How much time does Enzo save by
taking his shortcut? Explain your answer.

Answers

Answer:

a)it is a 45 degree angle

b) Enzo saves 8 minutes if he takes the shortcut

Step-by-step explanation:

a) In the picture it looked like a square and if Rutherford street is 1.2 km so is Orchard avenue, and if its a true square it must be 90 degrees so you cut that is half and you get your answer of 45 degrees .

b) It takes Enzo 20 min to walk the shortcut and his walking speed is 6 km/h

you divide 20 by 1.3 or one third and you get 2 so the short cut is 2 km long, and we know Rutherford st. and Orchard ave. is 1.2 km each

2.4 km=length of Rutherford and Orchard together

shortcut is 2 km

divide 2.4 by 0.4 or .4 and you get 6  

so if it takes him 20 min on the shortcut it should save him 8 minutes.

Which statement is correct about the system of linear equations graphed below? On a coordinate plane, 2 lines are parallel to each other.
A. The system of equations has one solution because the lines will eventually intersect. B. The system of equations has one solution because the lines will never intersect.
C. The system of equations does not have one solution because the lines will eventually intersect.
D. The system of equations does not have one solution because the lines will never intersect.

Answers

Answer:

D. The system of equations does not have one solution because the lines will never intersect.

Step-by-step explanation:

If two lines are parallel, then there is no intersection and therefore no solutions.

Correct choice is D

Answer:

D. The system of equations does not have one solution because the lines will never intersect.

edg2021Unit Test

Step-by-step explanation:

There are 32 students in your class. After voting for the class representative, Alan received 3 times as many votes than David. How many votes did Alan receive?

Answers

Answer:

alan received 24 votes

Step-by-step explanation:

bark


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

Step-by-step explanation:

the slope is -3

that is the answer

Answer:

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Step-by-step explanation:

Look at attached photo

please help solve 11x+10>=150

Answers

Answer:

12.7272

Step-by-step explanation:

subtract 10 on both sides

divide by 11 on both sides 11/11>140/11

Answer:

x=130

Step-by-step explanation:

11x+10>=150

11x>= 150-10

11x>=140

x>=140-11

x>=129

so, because "x" is bigger than 129,

so, x=130

What is the measure of _____?​

Answers

Answer:

95 degrees

Step-by-step explanation:

The sum of all the angles need to come to 360 degrees. We already have 2 90 degree angles, together 180 degrees. Subtract from 360 to get 180, so we know the other two angles together need to equal 180. x + x + 10 = 180

Add common terms, then subtract 10: 2x = 170

Divide by 2: x = 85

So angle F is 85 + 10, or 95 degrees.

Help?..Please......:)

Answers

Answer:

The answer would be 0.05

so =D

Step-by-step explanation:

If f(x) = x^3 – 2x^2 – 29x + 30 and f(6) = 0, then find all of the zeros of f(x)
algebraically.

Due today!!

Answers

Answer:

1, 6, and -5

make it 0

HELP ME PLEASE!!!!!!!!!!!!

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i frist 1 1 2

Step-by-step explanation:

Y

Answer:

Step-by-step explanation:

i think for number 1 is growth and number 2 decay and for 3 growth...hope this helps!

Quick i need your help !

Answers

Answer: 30

Step-by-step explanation:

Answer:

30 po brainliest answer po ty

What is magnitude in maths ?

Answers

Answer:

In mathematics, the magnitude or size of a mathematical object is a property which determines whether the object is larger or smaller than other objects of the same kind. More formally, an object's magnitude is the displayed result of an ordering ( or ranking ) - of the class of objects to which it belongs.

<C and <F are a linear pair. If m<C = 3x and m<F = 3x + 18, find m<F.​

Answers

Answer:

108

Step-by-step explanation:

A linear pair adds to 180 degrees

<C + <F = 180

3x+ 3x+18 = 180

6x+18 =180

6x+18-18= 180-18

6x =162

6x/6 =162/6

x=27

<F = 3x+18 = 3(27)+18 =81+27 = 108

kelly has 47 model cars. Jamal has 58 model cars. Yesterday , jamal traded 8 model cars to kelly for 14 of her cars. How many cars did kelly have before the trade

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Answer:

33 cars please give Brainliest

Please help me, I struggle the most in this class and this is the last question

Answers

one three and four they all are the the same by not adding anymorw