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

which of the following if rational( )
a)
[tex]\pi[/tex]
b)log2 c)1.23123... d)none ​

Answers

If c is repeating the the answer is none

Please help I would really appreciate it

Answers

Answer:

50°

Step-by-step explanation:

Sum of interior angle is equal to the sum of exterior angle

You have a bag with 6 green marbles, 15 blue marbles, 8 red marbles, 1 yellow
marble. What is the probability (as a decimal rounded to three places) of pulling
out a red marble?

Answers

Answer:

0.267 or 26.7%

Step-by-step explanation:

The probability of an event happening is calculated by dividing the favorable outcomes by all outcomes:

The sum of all events (marbles) is 6 + 15 + 8 + 1 = 30

The number of favorable events is 8

Therefore, the probability is 8/30 ≈ 0.267 or 26.7%

Jessie went to the mall and bought a CD for $12.98, a skirt for $17.50, a T-shirt for $8.50, and a bottle of water for $1.02. Use mental math to find the total amount she spent.

Answers

Answer:

$40

Step-by-step explanation:

The use of the word "mental math" means round to the nearest whole. By doing this you turn $12.98 into $13 and $1.02 into $1 which will give you $40 in total. This problem doesn't need to round as it is a simple problem. The true answer is $12.98 + $17.50 + $8.50 +$1.02= $40.

Help!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: Choice A)  x = -1

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

Explanation:

Look through the table to see when f(x) = g(x)

This happens when both are equal to 1, which is in the fourth row, or when x = -1.

In other words,

f(-1) = 1g(-1) = 1

So f(-1) = g(-1)

We can then say the solution to f(x) = g(x) is x = -1.

Consider the function f(x) = 8x2 + 5x – 2.
Determine the output produced by the input value x = -2.

Answers

Answer:

f(-2) = 20

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

f(x) = 8x² + 5x - 2

x = -2

Step 2: Evaluate

Substitute in x:                    f(-2) = 8(-2)² + 5(-2) - 2Exponents:                          f(-2) = 8(4) + 5(-2) - 2Multiply:                               f(-2) = 32 - 10 - 2Subtract:                              f(-2) = 22 - 2Subtract:                              f(-2) = 20

Given h(x)=4x+4h(x)=4x+4, solve for xx when h(x)=0h(x)=0

Answers

Answer:

The value of x is -1 when h(x) = 0

Step-by-step explanation:

Given function is:

[tex]h(x) = 4x+4[/tex]

The function is a linear function with one input.

We have to solve for x when h(x) = 0 this means that we have to put h(x) = 0 and find the value of x.

So,

[tex]h(x) = 0\\4x+4 = 0[/tex]

Subtracting 4 from both sides

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

Dividing both sides by 4

[tex]\\\frac{4x}{4} = \frac{-4}{4}\\x = -1[/tex]

Hence,

The value of x is -1 when h(x) = 0

Part A Tim wants to buy three pairs of jeans. He compares the prices at a store in his neighborhood and at an online store. He finds that a pair of jeans costs $24 at the local store. If he buys online, each pair would cost $22, and he would have to pay a shipping fee of $6 per order.

Answers

Answer:

The pants from the local store would be $72.00

the pants from the online store would be $85.00

the difference in price is $13.00

therefore the pants from the local store would be cheaper

Step-by-step explanation:

IM NOT SURE IF THIS ANSWERS YOUR QUESTION PLEASE CLARIFY!!!!

Help anyone??????????

Answers

0,1,2,3 :) lol yeh that’s my answer

Answer:

x = -2, y = -4

x = -1, y = -1

x = 0, y = 2

x = 1, y = 5

Step-by-step explanation:

Just apply the formula into the different values for x.

x = -2

y = 3(-2) + 2

  = -6 + 2

  = -4

x = -1

y = 3(-1) + 2

  = -3 + 2

  = -1

x = 0

y = 3(0) + 2

  = 0 + 2

  = 2

x = 1

y = 3(1) + 2

  = 3 + 2

  = 5

There are 15 marbles in a jar: 4 red, 5 green, and 6 yellow. You select one marble and do not replace it. Then, you select another marble. Determine if these events are independent

Answers

That events are independent

The events of picking marbles from the jar is independent

An event is independent if the occurrence of one event does not depend on another event.

For example, if you toss a coin and it lands on its head. You then flip another coin and it lands on its tail. These two events are independent. The face the second coin lands on do not depend on which face the first coin lands on. Also, the face that the first coin lands on does not depend on which face the second coin lands on.

In this question, after the first marble is picked, you do not return the first marble into the jar. Then you pick a second marble. The colour of the second marble does not depend on the colour of the first marble you picked. This means that the events are independent.

To learn more about independent events, please check: https://brainly.com/question/1393117?referrer=searchResults

30 points. Two hot air balloons are traveling along the same path away from a town, beginning from different locations at the same time. Henry's balloon begins 30 miles from the town and is 48 miles from the town after 2 hours. The distance of Tasha's balloon from the town is represented by the function y=8x + 20.

Which balloon was farther from the town at the begging, and which traveled more quickly.

Answers

Answer:

C.

Step-by-step explanation:

Hope this helps.

Write the equation of the line in slope-intercept form and general form.

(4, 2) (-3,9)

Answers

Answer:

y = -7x + 30

Step-by-step explanation:


A plane can travel 5000 kilometers
in 6 hours. How far can it travel in
1.5 hours?

Answers

Answer:

1250 Kilometers.

Step-by-step explanation:

Start by finding the proper ratio of 5000:6. Now divide 6/1.5 to see what we need to divide 5000 by. 6/1.5 is 4. So divide 5000 by 4. This gives you an answer of 1250 kilometers.

Answer:

[tex]1250km[/tex]

Step-by-step explanation:

To find how far the plane can travel in [tex]1.5[/tex] hours, we need to first find the speed of the plane.

It is given that the plane can travel [tex]5000[/tex] kilometers in 6 hours, so the following equation can be written:

[tex]s = 5000km/6hours[/tex] ([tex]s[/tex] refers to the speed of the plane)

[tex]= 833\frac{1}{3}km/hour[/tex]

To find how far the plane travels in [tex]1.5[/tex] hours, we can multiply the distance it travels in 1 hour to [tex]1.5[/tex] hours:

Distance travelled [tex]= 833\frac{1}{3}\times 1.5[/tex]

[tex]=1250km[/tex]

Hope this helps :)

David says that the numbers 2 and 4 are both composite numbers. Sarah says that 2 is a prime number and 4 is a composite number. Which statement explains who is correct?

Answers

Answer: Sarah is correct

Step-by-step explanation:

A composite number is referred to as a positive integer which is gotten when someone multiplies two positive integers that are smaller than the number. We should note that we should not use one while multiplying.

A prime number is a number that can only be divided when the number is being divided by one and itself. Examples are 2, 3, 7, 11 etc.

Based on the above analysis, 2 is a prime number while 4 is a composite number. Therefore, Sarah is correct.

SOMONE PLEASE HELP ME WITH GEOMETRY PLZZZ


In the figure below, identify the altitude and the median.

Answers

Answer:

line CN is the altitude and AE is the median if i am correct

Step-by-step explanation:

2. The ratio of the length of a rectangle of its width is 6:5. Its length is 24 inches. What is its width?​

Answers

Answer:

The width of the rectangle is 20 inches.

Step-by-step explanation:

Since the ratio of length to width is 6:5, the width will be 5/6 of the length. To find 5/6 of 24, multiply 24/1 by 5/6 and simplify. (24/1 is the fraction form of 24 and makes solving the problem a little easier.)

— 24/1 * 5/6 = 120/6

— 120/6 = 20

The width of the rectangle is 20 inches.

pls help! will give brainlist!

parts of New Orleans is currently below sea level and continues to sing each year. NASA imagines shows that One part of the city is currently 6 feet (72 inches) below sea level. Each year and continues to sing two more inches. Write an expression to describe the depth of New Orleans after any given year

Answers

Answer:

depth = 6th + 2(number of years)

Which is a point 6units to the left of 4

Answers

-2 i believe, have a great day :)

Write the equation of a cubic polynomial in standard form with root at 1 and double root at -5, passing through the point (3,32).

Answers

it would be 4 because yes

Solves a systems of linear equations in two variables.
Solve the following systems by graphing
1) 2x + y = 5 and x-3y = - 8
2) 6x - 3y = - 9 and 2x + 2y = -6
Solve the following systems by substitution
3) y = 5x-3 and -x - 5y = - 11
4) 2x - 6 = 24 and x - 5y - 22
Solve the following systems by elimination
5) - 4x - 2y = -2 and 4x + 8y = -24
6) x - y = 11 and 2x + y = 19​

Answers

1) (2,-1)
2) (-2,-1)
3)(.156,-2.22)

The sum of two numbers is 2490 and if 6.5 percent of one no. is equal to 8.5 percent of the other, then numbers are ?? Make sure it’s correct answer pls! 20 points for brainliest (also can u tell me how to mark someone brainliest?)

Answers

Answer:

The two number are :

x = 1411

y = 1079

Step-by-step explanation:

Let the two numbers = x and y

The sum of two numbers is 2490

x + y = 2490..... Equation 1

If 6.5 percent of one no. is equal to 8.5 percent of the other,

Hence:

6.5% of x = 8.5% of y

0.065x = 0.085y

Make x the subject of the Formula

x = 0.085y/0.065

x = 1.308y

We substitute 1.308y for x Equation 1

x + y = 2490..... Equation 1

1.308y + y = 2490

2.308y = 2490

y = 2490/2.308

y = 1078.8561525

y = 1079

x + y = 2490..... Equation 1

x = 2490 - y

x = 2490 - 1079

x = 1411

-28=-5x+7


Solve the two step equation

Answers

Answer:

x = 7

Step-by-step explanation:

-28=-5x+7

Add 28 and 5x to both sides

5x = 35

Divide both sides by 5

x = 7

Answer: x=7

Step-by-step explanation:

Let's solve your equation step-by-step.

−28=−5x+7

Step 1: Flip the equation.

−5x+7=−28

Step 2: Subtract 7 from both sides.

−5x+7−7=−28−7

−5x=−35

Step 3: Divide both sides by -5

-5x/-5 = -35/-5

x=7

For a soccer practice, the coach set up four cones, labeled W, X, Y, and Z, to mark the edges of the rectangular field.

Suppose the field is drawn on a coordinate plane, where the x- and y-values represent the position, in yards, from the center of the field, which is located at (0, 0). The location of the cones are as follows.

Cone W is located at (-38, -53).
Cone X is located at (-38, 53).
Cone Y is located at (38, 53).
Cone Z is located at (38, -53).

What is the perimeter of the field?
A.
38 yards
B.
364 yards
C.
8,056 yards
D.
182 yards

Answers

Answer:

Because there are fewer than 30 (not no more than 30) one of the answer i x+y < 30

Because he needs both small and large another answer is x>0 and not x  0

Finally because he need at least dozen large cones the last answer is y

Step-by-step explanation:

2-b/3=-5/2
explain the process of how to solve

Answers

Answer:

b=

2

27

=13.500

Step-by-step explanation:

Which statement correctly compares the function shown on the graph wih the function y=5x + 5

Answers

Answer:

C the function on the graph has the same rate of change, but a lower starting point

Step-by-step explanation:

they both have the slope of 5, and the graph's y-intercept is -6. -6<5.

Answer:

I would say C. The function shown on the graph has the same rate of change but a lower starting points.

Step-by-step explanation:

I said C because if you look at the slope in the equation which is 5x and look at where the line intercepts the Y axis you can see that the rise if 5 (going up) and the run (going over) is 1 and that gives you the next point. But the 5 in the equation is higher than the starting point on the Y axis so that's why I chose the one that said the lower starting point.

hope this helps.

What is 3(3t-4)-(2t+10)
plz help

Answers

Answer: 7t-22

Step-by-step explanation:

Did this question in my notes lol

State the end behavior of the function.

Answers

Answer:its -1and 1

Step-by-step explanation:

because positive and negative intervals

Last month karmin made $480 working for 30 hours this month she will get a 15% increase in the amount she earns per hour what will be her hourly rate In dollars after the increase

Answers

Answer:

$18.40

Step-by-step explanation:

480/30= 16

$16 is the amount earned per hour

16×.15= 2.40

$2.40 is 15% increase in the amount she earns per hour

16+2.40=18.40

$18.40 is hourly rate in dollars after the increase

What is the GCF of 64, 160 and 224

Answers

Answer:

32

Step-by-step explanation:

Factorize:

64= 2x2x2x2x2x2

160= 2x2x2x2x2x5

224=2x2x2x2x2x7

If you notice, the pairs have 5 2s. So the gcf is 2^5 or 32.

Hope this helps plz hit the crown :D

The greatest common factor of 64,160, and 224 will be 32.

What is the greatest common factor?

The greatest common factor is the largest positive number which can be divided into given numbers evenly. The greatest common factor is the highest number which divides all the given numbers completely.

Given numbers 64, 160 and 224. The greatest common factor is calculated by factorizing the given numbers.

Factorize number 64.

64 = 2x2x2x2x2x2

Factorize the number 160.

160 = 2x2x2x2x2x5

Factorize the number 224.

224 = 2x2x2x2x2x7

The common number between all three numbers is 2² or 32. Therefore, the greatest common factor of 64,160, and 224 will be 32.

To know more about the greatest common factor follow

https://brainly.com/question/219464

#SPJ2

You have to get everything on your list in 5 moves.
Can you do it?
Help please

Answers

목록에있는 모든 것을 5 개의 동작으로 가져와야합니다.

Other Questions
Aisha and Carolina each sketch a graph of the linear equation y= 3 4x+2. Aisha uses the equation y= 3 4x+2 to sketch the graph, and Carolina uses the equation y= 3 4x+2. a. Explain how this leads them to use different steps to construct their graphs. b. Will the two graphs look the same? Explain. a. Choose the correct answer below. PLEASE I WILL GIVE YOU POINTS! What equation does this map show? What does school safety mean to you? A recipe that makes 4 dozen cookies calls for 2 eggs. Using this same recipe, how many dozens of cookies can be made with 7 eggs? Tempera is typically made of pigment, egg yolk, and water, and the finish is usually chalky.TrueFalse What is the interval used in the frequency chart shown below? What has happened in the Alasken Triangle? Help! Signs of expression What is the sign of a . b?6420-2-68Choose 1 answer:PositiveNegativeZero His response was so______ that I thought he be angry at my question. If a family has a combined income of $85,000 a year, AND roughly 10% of the money should be for food, based on this general pattern, how much money they should expect would be spent on the food -budget for the year?__Identify the amount to dedicate monthly and by week below -How much is this per month for their food budget?---What is the estimated amount per week based on this amount for a grocery budget pattern?-- based on 4 weeks in a month.plzzzzzzzzz answer As the amount of alcohol in a person's system increases, their motor skills. ..A. increase.B.stay the same.C. decrease. Why is it, that you can get warnings on this app for the literal dum est of reasons?I couldn't exactly remember how you did an equation so I told the guy the proper things too look up. I GOT WARNED, "Please don't post unhelpful things" HOW IS THAT UNHELPFUL?! #Fixthewarningsystem in the monkey king plotline of american born chinese why is tze-yo-tzuhthe antagonist Kevin spends $11.25 on lunch every week during the school year. If there are 35.5 weeks during the school year, how much does Kevin spend on lunch over the entire school year? Tom has completed 26 deliveries so far this week. He needs to make 65 deliveries for the week.What percentage of his deliveries has Tom completed Which particle has the least mass? Proton, a helium atom, electron, hydrogen atom Which part of the five-paragraph essay serves as a mini outline of the essay? Solve the equation for x:6 - x = 18 Whats a Definition for alcoholism ?