Angela is playing with red and black marbles. The number of red marbles she has is three
more than twice the number of black marbles she has. She has 42 marbles in all. Which
system of equations can be used to find the number of red marbles, R, and black marbles, B?o

Answers

Answer 1

Answer:

We will need two equations, one that adds up to the total number of marbles, and the other which writes one type of marbles in terms of the other.

For the first equation we know that:

[tex]r + b = 42[/tex]

For the second we are told that "The number of red marbles she has is three  more than twice the number of black marbles she has."

So we simply translate this into an equation being:

[tex]r = 2b + 3[/tex]


Related Questions

Zachary bought a baseball for $9.96, a bat for $10.05, and a glove for $19.75. About how much did he pay for the three
items?
$50
$40
$30
$20

Answers

Answer:

About 40 Dollars

Step-by-step explanation:

9.96 + 10.05 = 20.01

20.01 + 19.75 = 39.76

About 40 Dollars

Hope this helps! <3

Answer:

40$

Step-by-step explanation:

If u add it all together u get 39.76$ and if u round it u get 40$ so 40$

Area of shaded region of a rectangle

Answers

u forgot to add the pic lma.o.

7th grade math help me plzzzz

Answers

Answer:

a. -14

b. -13

c. -5

d. -3

e. -12

f. 0

Step-by-step explanation:

hope it helps

Answer:

A is -14.

B is -13

C is -5

D is -3

E is -12

F is 0

Step-by-step explanation:

A, B, E both numbers are negative so you just add them together and add a negative sign.

C would read 4-9

D 10-7 and add a - to the answer

F is 6-6

According to Masterfoods, the company that manufactures M&M’s, 12% of peanut M&M’s are brown, 15% are yellow, 12% are red, 23% are blue, 23% are orange and 15% are green. [Round your answers to three decimal places, for example: 0.123]


Compute the probability that a randomly selected peanut M&M is not yellow.


Compute the probability that a randomly selected peanut M&M is brown or red.


Compute the probability that three randomly selected peanut M&M’s are all brown.


If you randomly select three peanut M&M’s, compute that probability that none of them are blue.


If you randomly select three peanut M&M’s, compute that probability that at least one of them is blue.

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

P(brown) = 12% = 0.12

P(Yellow) = 15% = 0.15

P(Red) = 12% = 0.12

P(blue) = 23% = 0.23

P(orange) = 23% = 0.23

P(green) = 15% = 0.15

A.) Compute the probability that a randomly selected peanut M&M is not yellow.

P(not yellow) = P(Yellow)' = 1 - P(Yellow) = 1 - 0.15 = 0.85

B.) Compute the probability that a randomly selected peanut M&M is brown or red.

P(Brown) or P(Red) :

0.12 + 0.12 = 0.24

C.) Compute the probability that three randomly selected peanut M&M’s are all brown.

P(brown) * P(brown) * P(brown)

0.12 * 0.12 * 0.12 =0.001728

D.) If you randomly select three peanut M&M’s, compute that probability that none of them are blue.

P(3 blue)' = 1 - P(3 blue)

P(3 blue) = 0.23 * 0.23 * 0.23 = 0.012167

1 - P(3 blue) = 1 - 0.012167 = 0.987833

If you randomly select three peanut M&M’s, compute that probability that at least one of them is blue.

P(1 blue) + p(2 blue) + p(3 blue)

(0.23) + (0.23*0.23) + (0.23*0.23*0.23)

0.23 + 0.0529 + 0.012167

= 0.295067

g(x)=2x^2+2x+21
Find g(p+4)​

Answers

Answer:   2p^2 + 18p + 61

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

Explanation:

Everywhere you see an x, replace it with p+4, then simplify.

We'll use the FOIL rule to expand out (p+4)^2

So...

g(x) = 2x^2 + 2x + 21

g(x) = 2( x )^2 + 2( x ) + 21

g(p+4) = 2( p+4 )^2 + 2( p+4 ) + 21 .... every x replaced with p+4

g(p+4) = 2(p^2+8p+16) + 2(p+4)+21 .... FOIL rule

g(p+4) = 2p^2+16p+32 + 2p+8+21 .... distribute

g(p+4) = 2p^2 + 18p + 61

Tom has 120 meters of fencing. He will use it to form three sides of a rectangular garden. The fourth side will be along a house and will not need fencing. As shown below, one of the sides has length x (in meters).
Find a function:
What is the side length?
What is the maximum area?

Answers

Answer:

a) Function A(x) =  (60*x - 1/2*x²)

b)Side length     x = 60 m      the other side   y = 30 m

c) A (max)  = 1800 m²

Step-by-step explanation:

Area of rectangular garden with length  " x " and wide "y"

A = x*y        

Perimeter of rectangular area ( only three sides 2*y and 1*x)

P(r)  = 2*y + x

P(r) = 120 = 2*y + x

y = ( 120 - x ) /2

Area of the garden as function of x is

A(x) = [( 120 - x ) /2]*x          ⇒     A(x) = (60*x - 1/2*x²)

Taking derivatives on both sides of the equation:

A´(x) = 60 - x

A´(x)  = 0            60  -  x  = 0

x = 60 m

Then

y = ( 120  -  x ) / 2                ⇒   y = (120 - 60 )/2

y = 30 m

A(max) = 30 * 60

A(max) = 1800 m²

The side length (x) is 30 m each

The maximum area is 1800 m².

He has 120 meters for fencing . He use it to form 3 sides of a rectangular garden.

Therefore,

let

the side parallel to the house = y

the sides perpendicular to the house = x (2 sides)

Therefore,

perimeter = 2x + y

120 = 2x + y

y = 120 - 2x

area = x(120 - 2x)

area = 120x - 2x²

area = -2x² + 120x

The leading coefficient is less than zero, therefore, the parabola is facing downward.  The maximum area is at (h, k).

where

h = - b / 2a

a = -2

b = 120

h = - 120 / 2 × -2

h = 120 / 4 = 30

The sides perpendicular to the building  = 30 meter

The side parallel to the building = 120 - 2(30) = 60 meters

The maximum area = 60 × 30 = 1800 m²

read more: https://brainly.com/question/8602676?referrer=searchResults

Q. Alex is managing an assembly line
creating precision drill bits. The number of
drill bits created is in the chart above. What
is the mode number of drill bits created?
bits​

Answers

Answer:

i put 65 but that was not the correct answer

Step-by-step explanation:

Answer: 20

Step-by-step explanation:

Help please ASAP I’m not good at this

Answers

Answer:

y = 0.7x + 12

Step-by-step explanation:

Order from least to greatest.
1/3 ,5/4, 0.85

Answers

Answer:

I believe it should be; 1/3, 0.85, 5/4

Answer:

The order from least to greatest of 1/3,5/4,0.85 is. ANSWER: 1/3,0.85,5/4

Please answer correctly, will give brainlist.

Answers

Answer:

the answer is 77

Step-by-step explanation:

A measures 32 and B measures 109 so you subtract 109 and 32 and your answer will be 77

Can someone who knows Pre Calculus help me on these questions.

Answers

Answer:

the answer should be B:12/5

The Acme Battery Company has developed a new cell phone battery. On average, the battery lasts 60 minutes on a single charge. The standard deviation is 4 minutes. Suppose the manufacturing department runs a quality control test. They randomly select 7 batteries. The standard deviation of the selected batteries is 6 minutes. a. What would be the chi-square statistic represented by this test? b. What are the degrees of freedom for the chi-square statistic? c. Suppose they repeated the test with a new random sample of 7 batteries. What is the probability that the standard deviation in the new test would be greater than 6 minutes? (Use the applet)

Answers

Answer:

X² = 13.5

Degree of freedom = 6

0.04

Step-by-step explanation:

Give the following :

Number of samples (n) = 7

Population standard deviation (σ) =.4 minutes

Sample standard deviation (s) = 6

Mean battery life = 60 minutes

A) Chisquare (X²) :

X² = ((n - 1) * s²) / σ²

X² = ((7 - 1) * 6²) / 4²

X² = (6 * 6²) / 4²

X² = (6 * 36) / 16

X² = 216 / 16

X² = 13.5

B.) The degree of freedom:

degree of freedom = n - 1

Degree of freedom = 7 - 1 = 6

C.) using a chisquare distribution calculator :

With degree of freedom (df) = 6

X² = 13.5

Hence,

P(X² > 13.5) = 0.04 ( from calculator)

Jose's savings account pays 3.25% interest.
He has $1,200 in his account. How much
interest will he earn in 9 months?

Answers

Answer:

He will earn $2025

Step-by-step explanation:

1200*3.25=3900

3900-1200=2700

2700/12=225

225*9

Answer:

His interest is $3,900 earn for 9 months.

Determine whether the following graph represents a function.

Answers

Answer:

function

Step-by-step explanation:

Answer:

Its a Function

Step-by-step explanation:

Its a function because no vertical line Its intersect the curve more than once.

please help, I can't get it

Answers

x+5 /3
hope this helps!

Kevin bought a used guitar at a garage sale for $150. He fixed it up and sold it for $200. What was the percent increase?
(Need explanation to show my work)

Answers

Answer:

33.3

Step-by-step explanation:

You need to divide 200  and 150 to get you 4/3. Then you will have to _____________________________

What are some good things to remember when you
draw a diagram of a ratio?

Answers

Answer:

the order in which the ratio is drawn should be the same as listed.

Explanation:

What this means is that since a ratio compares the sizes of two numbers (eg 4:2 or 4 ratios 2 or [tex]\frac{4}{2}[/tex]), it would be wrong to change the order of a ratio when drawn in a diagram.

For example,  changing the order to (2:4 or 2 ratios 4), which then  because [tex]\frac{2}{4}[/tex] not [tex]\frac{4}{2}[/tex]. Hence, it is important to remember that diagram of the ratio of two or more quantities should be the same as listed.

find the sum of 2x ÷ x-1 and x÷x-1​

Answers

Answer with step-by-step explanation:

First of all, ORDER OF OPERATIONS!! 2x/x is 2/1, which is 2. Then, subtract 1, which is 1.

2x ÷ x - 1 = 1

Same thing: x/x = 1. Subtract 1 from 1, which is 0.

x ÷ x - 1 = 0

1 + 0 = 1

Hope this helped!

a rectangular prism is 12 inches long, 6 inches wide and 10 inches tall. what is the length of it's longest diagonal?

Answers

Answer:

15.620

Step-by-step explanation:

use pythagorean theorm :)

(the 6 is pointless for this problem)

[tex](15+23)+7=15+(_______+7)[/tex]

Answers

If your looking for solutions their will be zero. Since 15+23+7=15+7 is false, there is no solution.

I really need help 1260 divided by 17

6699 divided by 72​

Answers

Answer:

1) 7.118 (rounded to the nearest thousandth)

2) 93.042 (rounded to the nearest thousandth)

Step-by-step explanation:

1260 divided by 17 = 7.118 (rounded to the nearest thousandth)

6699 divided by 72 = 93.042 (rounded to the nearest thousandth)

(I don't really know how to explain this in detail. Sorry.

Hope I helped :)

Please consider Brainliest :)

solve 6 ropes all of equal length have a total length of 27m what is the length of each rope in centimetres​

Answers

Answer:

* 27x=9 * x=9/27 ithink so srry if you get wrong

Step-by-step explanation:

Suppose you want to find the average household income in America. So you pick 10 households from each state (a total of 500 households) and find their income.

What is the population? What is the parameter you want to find?

Answers

Answer:

Step-by-step explanation:

The purpose of the experiment is to find the average or mean amount of household income in America.

Household Income simply means the total income of a household - which is the sum of income earned by each member of the household. This study aims to find the average of this household, across the Americas.

For your analysis, you pick 10 households from each state of the country (or continent). A total of 500 households implies 500/10 = 50 states

WHAT IS THE POPULATION?

The population in this study is:  the total population of American households OR the total number of households in America. The sample on the other hand, is the 500 households directly involved in the study.

WHAT IS THE PARAMETER YOU WISH TO FIND?

The parameter you wish to find is:  mean (or average) household income in America.

Stephanie has $152 in the bank. SHe withdrawls $20. Then she deposited $84. Write an addition expression to represent this situation. Then find the sum and explain its meaning.

Answers

Answer:

$152-$20=$132+$84=$216 total dollars.

Step-by-step explanation:

I hope this helps.

Riley and Rhoda plan to buy several bags of dog food and a dog collar. Each bag of dog food costs $7, and the dog collar cost $5

Answers

Answer:

2bags= $14 + $5

3bags= $21+ $5

4bags= $28 + $5

5bags= $35 + $5

6bags= $42 + $5

multiply # of bags by 7

and add $5

What property is if x=12 , then 3x=36

Answers

Answer:

3x=x+12 This is not quadratic. This is linear in x. (3x-x) = 12 (bringing x from the right to the left, change side then change sign, in other words add - x to both the sides.

Step-by-step explanation:

3(12) = 36
so then multiply and your answer is
36=36

Jodi bought a new sofa for $1,430, plus fees and insurance. She made paid off the balance in 18 months at $89 per month. How much did she pay in insurance and fees?

Answers

Answer:

$172

Step-by-step explanation:

Ok, So $1430 is the total amount PLUS fees and insurance. So 18 months at $89 per month. so do 18*89=1602. $1602-$1430=$172.

So She paid insurance and fees $172.

In a basketball game, LeBron and Shaq combined to score 72 points. If LeBron scored three times as many points as Shaq, how many points did each player score?

Answers

Answer:

Lebron = 24

Shaq = 0

Step-by-step explanation:

x =  LeBron

y = Shaq

3(24) + 0 = 72

A scientist observes and counts 155 bacteria in a culture. Later, the scientist counts again and finds the number has increased by 40%.How many bacteria are there now?

Answers

IM STILL TRYNA GET THIS ONEE TOO

Answer:

217

Step-by-step explanation:

155 + 40% = 217

Find the surface area of the cube shown below 2.3

Answers

Answer:

2 2/3 or 8/3

Step-by-step explanation:

Formula for each side = 2/3 x 2/3

2/3 x 2/3 = 4/9

6 sides

4/9 x 6 or 4/9 + 4/9 + 4/9 + 4/9 + 4/9 + 4/9

=2 2/3 or 8/3

Answer:

2 2/3

Is the answer

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If variables j and k refer to objects of type Double and j . compareTo (k) returns a value of 1, which of the following is true?A. The double value held in j is less than the value held inside k.B. The difference between values held in j and k is 1.*C. The double values held inside j and k are both positive.D. The double value held inside j is greater than the value held inside k.4. What is a radix as used in the method parseInt (String s, int radix) from the integer class?A. A numeric base 2 such as for binary or 16 for hexadecimal.B. The number of characters in the string that represent integers.*C. The Unicode character code to be used when parsing the string.D. The number of times the string should be repeated before being converted to an int.5. Which of the following is a static method of the integer class?A. intValue ( )B. parseInt ( )C. toString ( )*D. compareTo ( )6. Which of the following statements will cause a compiler error?A. Double a = new Double (10.6) + 3;B. 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