Gwen bought a total of 35 pieces of licorice. She bought 4 times as many red pieces as she did black pieces.
a. Write a system of equations that represents the number of pieces of each kind of licorice that Gwen bought.
b. Solve the system by substitution
c. Interpret the solution

Answers

Answer 1

Step-by-step explanation:

The total no of pieces is 35. Let Gwen has B black pieces and R red pieces.

(a) She bought 4 times as many red pieces as she did black pieces. It means,

Red pieces = 4B

Equations that represents the number of pieces of each kind of licorice that Gwen bought are :

R + B = 35 ....(1)

and

R = 4B  ....(2)

((b) Put equation (2) in equation (1)

4B + B = 35

5B = 35

B = 7

Put the value of B in equation (2)

R = 4(7) = 28

(c) There are 7 black and 28 red pieces of licorice.


Related Questions

Sally is selling two types of seashells by the seashore. She is selling large and small shells. She sells small shells for 2 dollars each and large shells for 5 dollars each. She sold a combined 15 shells for total of 60 dollars. How many of each type of shell did she sell? Show your work.

A - 5 small shells and 10 large shells
B - 10 small shells and 5 large shells
C - 7 small shells and 8 large shells
D - 8 small shells and 7 large shells

Answers

Answer:

The answer is A

Step-by-step explanation:

If you plug in the numbers it looks like this:

(A)  5(2) + 10(5) = 60

(B)  10(2) + 5(5) = 45

(C) 7(2) + 8(5) = 54

(D)  8(2) + 7(5)

so a is the only one that equals 60

She will sell 5 small shells and 10 large shells. The answer is A.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Sally is selling two types of seashells by the seashore. She is selling large and small shells. She sells small shells for 2 dollars each and large shells for 5 dollars each. She sold a combined 15 shells for a total of 60 dollars.

The numbers will be calculated as

(A)  5(2) + 10(5) = 60

(B)  10(2) + 5(5) = 45

(C) 7(2) + 8(5) = 54

(D)  8(2) + 7(5)

Here, option A is giving the correct sum. Therefore, she will sell 5 small shells and 10 large shells.

To know more about an expression follow

https://brainly.com/question/3310061

#SPJ2

(x – 4)2 = -9 has no real solution

Answers

Answer:

x = -1/2

Step-by-step explanation:

(x - 4) * 2 = -9

Divide both sides by 2:

x - 4 = - 9 / 2

Add 4 to both sides:

x = - 1 / 2.

Answer:

Actually, it does have a solution

Step-by-step explanation:

Shane and Gemma share 35 sweets in the ratio 1:4
1
Gemma eats 10 of her sweets and then gives Shane 2 of the sweets she has left.
(c) How many sweets does Shane have now?​

Answers

Answer:

Shane has 9 sweats now.

Step-by-step explanation:

Given that Shane and Gemma share 35 sweets in the ratio 1:4.

Let the share of Shane be = 'x'

Let the share of Gemma be = '4x'

The combined share of Shane and Gemma = x + 4x = 5x

Total sweets they share = 35

so the equation becomes

5x = 35

x = 7

Thus,

Share of Shane = x = 7

Share of Gemma = 4x = 4(7) = 28

Gemma eats 10 sweets, so she has left with 28-10 = 18 sweets

Gemma gave 2 of the sweets she has left.

As Shane has already 7 sweats, so adding 2 in 7 sweats would make it 9 sweats.

Therefore, Shane has 9 sweats now.

charli has 100 million!!!

Answers

I know!! Why don’t people respect her she’s a good kid!

9+3|5-x|=24

What is the lines for and how do I solve X with them?

Answers

Answer:

the lines represent absolute value bars

[tex]x=0,10[/tex]

Step-by-step explanation:

STEP 1: Move all terms not containing |5−x| to the right side of the equation.

[tex]3|5-x|=15[/tex]

STEP 2: Divide each term by 3 and simplify.

[tex]|5-x|=5[/tex]

STEP 3: Remove the absolute value term. This creates a ± on the right side of the equation because |x|=±x.

5-x=±5

STEP 4: Set up the positive portion of the ± solution.

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

STEP 5: Solve the first equation for x.

[tex]x=0[/tex]

STEP 6: Set up the negative portion of the ± solution.

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

STEP 7: Solve the second equation for x.

[tex]x=10[/tex]

NOTE: The solution to the equation includes both the positive and negative portions of the solution.

[tex]x=0,10[/tex]

Answer:

x=0,10

Step-by-step explanation:

h(n) = n + 2 g(n) = 2n + 1 Find h(n) − g(n)​

Answers

Answer:

-n+1

Step-by-step explanation:

h(n)-g(n) =n+2-2n-1 ,collect like terms

n-2n+2-1 = -n+1

FINDING ANGLE MEASURES
Find x.

Answers

the answer is x is equal to 32

brainliest for correct answer

Answers

Answer:

5

Step-by-step explanation:

Which expression is equal to – 8s – 2s2 + 23s – 4?

Answers

Answer:

15s-2s^2-4

Step-by-step explanation:

Step-by-step explanation:

15s-2s^2-4 and is the best

Please help this is due tomorrow us the screen shot

Answers

Answer:

A1: 40/3 = 13.33

A2: 1/2 = 20 (half of 40) 40/20 = 2

Given the two points(-2,1) and (-3,-3) on the graph, calculate the scope

Answers

Answer:

[tex]m=4[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

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

Step-by-step explanation:

Step 1: Define

Point (-2, 1)

Point (-3, -3)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute [SF]:                    [tex]m=\frac{-3-1}{-3+2}[/tex]Subtract/Add:                      [tex]m=\frac{-4}{-1}[/tex]Divide:                                  [tex]m=4[/tex]

HELP!!!

18. A storage facility has small units designed to hold 40 - 50 large boxes, a large box on average weighs 85 lbs. On average, if someone fills the container to capacity, how much will all the boxes they store weigh?
a. 3400 lbs
b. 4250 lbs
c. 4175 lbs
d. 3825 lbs

Answers

Answer:

All the boxes in the store will weigh b. 4,250 lbs.

Step-by-step explanation:

Well, we know that the storage facility can hold a maximum of 50 large boxes, each weighing about 85 pounds.

85 x 50 = 4,250

Therefore, all the boxes in the store will weigh b. 4,250 lbs.

Hope this helps! :D

The answer will most likely be d I did the math and that’s what I got

Please help!
3 3/4 = r + 1/8

Answers

Answer:

r = 29/8 or 3 5/8

Step-by-step explanation:

so you need to make them have the same denominator so you multiply 3/4 by 2/2 to get that

this equals 6/8

add 3 so 24/8

then you subtract 1/8 from both sides

r = 29/8

simplify so 29/8 = 3 5/8

What kind of triangle is this?

Answers

Right angle
Te reason being is that it has a 90° corner.

Hoped this helped

Answer:   acute

Step-by-step explanation: its not right cuz there a 90 degree angle and it isnt obtuse

If you are framing a photo that is 4in by 7 in, and you want the frame to be the same width all around, and the total area of the frame and the photo is 130in squared, what is the width of the photo?

Answers

Answer:

3.36in

Step-by-step explanation:

The total surface area of the cardboard is expressed as;

TSA = 2(LW + LH + WH)

L is the length = 4in

W is the width

H is the height = 7in

TSA = 130in²

Substitute the given values into the formula and get the width W

TSA = 2(LW + LH + WH)

130 = 2(4W+4(7) + 7W)

130 = 2(11W+28)

130 = 22W+56

22W = 130 - 56

22S = 74

W = 74/22

W = 3.36in

hence the width of the photo is 3.36in

Luis distributes 49 roses equally among seven friends then three of his friends combined the roses they received to make a bouquet how many roses are in this bouquet there are blank roses in this bouquet

Answers

Answer:

The are 21 roses in the bouquet

Step-by-step explanation:

Since the 49 roses are distributed evenly amongst the 7, then what each of the seven will get would be 49/7 = 7 roses

So 3 of the friends combine every of theirs to make a bouquet

The number of roses in the bouquet will be 7 + 7 + 7 = 21 roses

Simplify 3/5+(-1/4) 7/10

Answers

Answer:

17/40

Step-by-step explanation:

Answer:

17/40 or .425

Step-by-step explanation:

1. Is the relation a function and why or why not?
{(1, 2), (2, 3), (1, 6), (4,3)}

Answers

Answer:

Its not a function, D

Step-by-step explanation:

its not a function because the x value, 1, repeats. input is x and output is y, so the input of 1 has more than one output.

I feel like I should know this but I don’t please help

Answers

Answer:

27

Step-by-step explanation:

Pentagon JKLMN is similar to pentagon UVWXY.
What is the length of WX?
18
15
10
N
(not drawn to scale)
A 15
13
12
O 18

Answers

9514 1404 393

Answer:

  C.  12

Step-by-step explanation:

Corresponding sides are proportional. Sides with the same mark are the same length.

  WX/XY = LM/MN = LM/KJ

  WX/10 = 18/15

  WX = 180/15 . . . . multiply by 10

  WX = 12

Need Help with this!

Answers

Answer: it's about 46.6% for the first card the second card depends on the first card if the first card is even the likelihood of the second being even is 40%, if the first card is odd then the likelihood of the second card being odd too be about 46,6%


can anyone help answer all these questions

Answers

Answer:

A -2,-3, B 0,-3  C -1,1

Step-by-step explanation:

11. $1.44 for 12 pencils

Answers

Answer:12 cents per pencil

Step-by-step explanation:

1.44/12

12 cents each
Djdjdjdkdkdkd

what is this answer 9x2000​

Answers

18,000


just use a calculator bro

Answer:

18,000

Step-by-step explanation:

HELP PLEASE I NEED IT FAST!!!!!!!!!
1. Use the clues to identify the location of the post office, hospital, mall, nail salon, park, pet store, library, and gas station. (7 points)

- The hospital is at letter c and makes alternate interior angles with the mall.
- The post office and hospital make same side interior angles.
- The mall makes a corresponding angle with the nail salon.
- The pet store and the gas station form alternate exterior angles.
- The pet store forms a vertical angle with the park.

Letter
_____ Gas station
__C__ Hospital
_____ Library
_____ Mall
_____ Nail salon
_____ Park
_____ Pet store
_____ Post Office

Answers

Answer:

can I get ful question........?

Answer:

Here is the full question

Step-by-step explanation:

Li deposited $17,500 into a bank account that earned simple interest each year. After 2 years, he had earned $2975 in interest.

No money was deposited into or withdrawn from the account.

What was the annual interest rate?

Enter your answer in the box.

Answers

Answer:  8.5%

Step-by-step explanation:

Formula : Simple interest = (Principal) x (annual interest rate) x (Time)    (i)

Given: Principal : P = $ 17,500

Time : 2 years

Simple interest : I = $ 2975

Let r = annual

[tex]2975=17500\times(r)\times(2)[/tex]

[tex]\Rightarrow\ r=\dfrac{2975}{17500\times2}\\\\\Rightarrow\ r=0.085\\\\\Rightarrow\ r=0.085\times100\\\\\Rightarrow\ r=8.5\%[/tex]

Hence, The annual interest rate was 8.5%.

1. Find the simple interest on a $3,219.00 principal, deposited for six years at a rate of 1.51%.
a. $291.64
b. $26,164.14
c. $2,916.41

Answers

Answer:

bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb

If you're good at math, explain this.

Answers

Answer:

I think your correct :)

Step-by-step explanation:

Yess okay I was clicking "add answer" for like a thousand times :D

anywayssss....

I agree with your first 2 answers and it might be a glitch cause that's how it was with my last school years online quizzes but I'm not positively sure about your third answer cause I haven't done the work yet... just make sure you took all the numbers and added them together then divided them by 8 cause there's 8 groups.

ngl I cant tell you what's wrong with the second question so I'm thinking somethings wrong with the coding but alrighty...

<3 Enjoy,

    Dea

of this data set 56, 57, 57, 58, 59, 60, 60, 60, 62, 64, 64, 66, 67, 67, 67, 68 what's the mean absolute deviation

Answers

Answer:

3.625

Step-by-step explanation:

Answer:

62

Step-by-step explanation:

“To find the mean absolute deviation of the data, start by finding the mean of the data set. Find the sum of the data values, and divide the sum by the number of data values. Find the absolute value of the difference between each data value and the mean” you are basically adding all the numbers together and dividing by the amount of numbers there

Hope this helped

To find 49% of a number, we can multiply the number by 49/100 ​ or _____.

Answers

Answer:

.49 * 100  

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^^^^^^^^^^^^^^^^^^^^^^^^^^^
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