Graded Assignment
Unit Test, Part 2: Expressions and Problem Solving
Answer the questions below. When you are finished, submit this assignment to your teacher by the due date for full credit.
Total score: ____ of 15 points
(Score for Question 1: ___ of 6 points)
1. Emmanuel bought 28 lb of potting soil this week. This amount is 4 lb more than twice the amount of potting soil he bought last week. Answer the following questions to find the number of pounds of soil Emmanuel purchased last week.
(a) What is the unknown information?
(b) Let p represent the unknown information. Write an equation to model the problem.
(c) Which number, 10, 11, or 12, will solve the equation in Part (b)? Show your work.
(d) How many pounds of potting soil did Emmanuel buy last week?
Answer:

plz help me I beg you

Answers

Answer 1

Answer:

1.) Amount of potting soil purchased last week.

2) 2p + 4 = 28

3.) 12 lbs

Step-by-step explanation:

1.) The unknown information is what we intend to find out using the information given, which is the amount of potting soil Emmanuel bought last week.

2.)

Let amount of potting soil bought last week = p

Amount bought this week = 2p + 4

Since amount bought this week = 28

Hence, we have ;

28 = 2p + 4

28 - 4 = 2p

24 = 2p

p = 24 / 2

p = 12


Related Questions

¿Cuanto es el 15% de 9,000?

Answers

Answer:

10% = 900

5% = 450

15% = 1,350

Please brainliest

Find the slope from the two points given: (-4, 2) and (5, 6) *

Answers

Answer:

Slope = 4/9

Step-by-step explanation:

x1(-4,2)

x2(5,6)

Slope,

m = (y2-y1)/(x2-x1)

= (6-2)/(5--4)

=4/9

h (p) = p2 – 3p, find h (2)

Answers

Answer:

-2

Step-by-step explanation:

see Image below:)

Pls help with this one question

Answers

Answer:

19

Step-by-step explanation:

Cause it’s angle on a straight line which is equals to 180

A group of people who gathered to watch a baseball game voted for their favorite teams.

New York Mets 4
Washington Nationals 1
Toronto Blue Jays 5

What is the probability that the favorite team of a randomly selected baseball fan is the Toronto Blue Jays?

Write your answer as a fraction or whole number.

P(Toronto Blue Jays) =

Answers

Answer:

sdfgafddasfadfs

Step-by-step explanation:

dfsadsafdsfadfsadsfasdfa

Solve using the quadratic formula. Approximate answers to the nearest tenth.
Help

Answers

Answer:

x = 2.4 or x = 0.3

Step-by-step explanation:

3x² - 8x + 2 = 0

Quadratic formula

x = {-b ±√b² - 4ac} / 2a

a = 3

b = -8

c = 2

x = {-b ±√b² - 4ac} / 2a

= {-(-8) ±√(-8)² - 4*3*2} / 2*3

= (8 ± √64 - 24) / 6

= (8 ± √40) / 6

= (8 ± 2√10) / 6

= 8/6 ± 2√10/6

= 4/3 ± √10 / 6

x = 4/3 + √10 / 6 or 4/3 - √10 / 6

x = 2.4 or x = 0.3

pls answer correct or i will ban you
And I will mark brainlist whoanewers correct​

Answers

Since segment AC bisects (aka cuts in half) angle A, this means the two angles CAB and CAD are the same measure. I'll refer to this later as "fact 1".

Triangles ABC and ADC have the shared segment AC between them. By the reflexive property AC = AC. Any segment is equal in length to itself. I'll call this "fact 2" later on.

Similar to fact 1, we have angle ACB = angle ACD. This is because AC bisects angle BCD into two smaller equal halves. I'll call this fact 3

----------------------

To summarize so far, we have these three facts

angle CAB = angle CADAC = ACangle ACB = angle ACD

in this exact order, we can use the ASA (angle side angle) congruence property to prove the two triangles are congruent. Facts 1 and 3 refer to the "A" parts of "ASA", while fact 2 refers to the "S" of "ASA". The order matters. Notice how the side is between the angles in question.

------------------------

Once we prove the triangles are congruent, we use CPCTC (corresponding parts of congruent triangles are congruent) to conclude that AB = AD and BC = BD. These pair of sides correspond, so they must be congruent in order for the entire triangles to be congruent overall.

It's like saying you had 2 identical houses, so the front doors must be the same. The houses are the triangles (the larger structure) and the door is an analogy to the sides (which are pieces of the larger structure).

1) Find the distance between -49.75 and 31.5 on a number line.​

Answers

Answer:

81.25

Step-by-step explanation:

Because you want to know the total distance, calculate how many digits -49.75 is away from 0. It is 49.75 digits away from 0.

Now calculate how many digits 31.5 is away from 0. It is 31.5 digits away from 0.

Finally, add those two distances together so that you know the total distance:

49.75+31.5 = 81.25

Answer:

in the picture

HOPE ITS HELP


Standard fom: 4x20x² 24x
what is the Leading coefficient
Explain the behavior base on the
degree and leading coefficient?

Answers

Answer:

that is behavior that coefficient

What is the slope of the line through the points (-2, -1) and (4, 3)?

Answers

Answer: [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Answer:

m=2/3

Step-by-step explanation:

Identify the coordinates (x₁,y₁) and (x₂,y₂) . ...

Input the values into the formula. (-2,-1) (4,3) the formula is (y1-y2)/(x1-x2)

Subtract the values in parentheses to get 4/6

Simplify the fraction to get the slope of  2/3

help please if you can

Answers

Answer:

Ice, ig.

It is made up of the remaining part of the solar system, after all.

Hope it helps you

Please mark as brainliest

I NEEDDD HELPPPPP PLEASEEE

Answers

Answer:

#3

Hope this helped! Please give brainliest to let me know <3

Step-by-step explanation:

Presale tickets (p) are each worth $7: represented in the equation as 7p.

Door tickets (d) are each worth $10: represented in the equation as 10d.

They sold 345 tickets, so p+d=345. They collected $2550, so 7p+10d=2550.

Final answer:

(3) [tex]\left \{ {{7p+10d=2550} \atop {p+d=345}} \right.[/tex]

A submarine begins its descent from the surface of the water and dives 20 feet for each minute. What would be the depth of the submarine after 2/3 hours?

Answers

Answer:

Distance = speed * time

Convert feet to meter (C units) = about 6

Convert hours to second (C units) = about 2399

Distance = 6 * 2399

= 1439 meters

4721 foot

Find the solution set of this inequality. Enter your answer in interval notation using grouping symbols. -2x+5<3

Answers

Step-by-step explanation:

-2x+5<3

-2x>3-5

-2x>-2

Divide both sides by -2

x>1

Answer:

-2x+5<3

-2x<-2

x<1

Solve for x:−2(x+9)=−1(x+−1)+2

Answers

Answer:

A

Step-by-step explanation:

expanding the bracket, we would have

-2x -18 = -x+1+2

-2x+x= 3 +18

-x=21

x=-21

Answer:

A

Step-by-step explanation:

−2(x+9)=−1(x+−1)+2

Use distributive property

-2x - 18 = -1x + 1 +2

-2x - 18 = -1x + 3

      +18         +18

-2x = -1x +21

+1x    +1x

___________

-x = 21

we need to have a positive x so multiply x by -1. -x times -1 = x

What we do on the left side has to happen to the right side too

So, 21 times -1 = -21

Therefore, x = -21

Hope this helps :)

hey you guys its your favorite gal, hopin in to ask a couple more questions for the better in me (im honestly just asking for points and for answers, thanks for being loyal as always )

Select the correct answer.
Martin runs 100 meters in 15 seconds. What is the equation for d, the distance in meters that Martin covers per second?
A.
15 + d = 100
B.
100 + d = 15
C.
d × 15 = 100
D.
d × 100 = 15

Answers

Answer:

c

Step-by-step explanation:

We are dividind how 100 can fit in 15 seconds

which is 100 /15

therefore when C when u tak it to the other side it divides 100 in 15

d×15=100

d=100/15

which comparison is correct?
140.07 < 140.7
140.07=140.7
140.07 > 140.7

Answers

The answer is 140.07< 140.7 I hope I help

Answer:

40.07 < 140.7

step by step explanation:it's just correct I think

What is the slope-intercept form equation of the line that passes through (2, 4) and (4, 10)?
O y = -3x - 2
O y = -3x + 2
O y = 3x + 2
O y = 3x - 2

Answers

⊹˚ʚ ❑Answer︰The slope is 3!

⊹˚ʚ ❑Explanation︰use the formula y2-y1 over x2-x1

      ✎Daily reminder: make sure to eat food and stay hydrated, have a good day :D

Answer:

y = 3x - 2.

Step-by-step explanation:

The slope of the line (m) = (10-4)/(4-2)

= 3.

y - y1 = m(x - x1)

y - 10 = 3(x - 4)

y = 3x - 12 + 10

y = 3x - 2.

please help me with this!

Answers

5*2=10. 2*3=6 2*3=6. 3*5=15. 3*5=15. 5*2=10

10+10+6+6+15+15= 62 units^2

help gggggggggggggggggggggggggggggggggggggg

Answers

Answer:

22 units

The correct answer is A

I believe the answer to this is 22 units.

I hope this helps! :D

The midpoint of AB is M(6, 3) . If the coordinates of A are (7, 4) , what are the coordinates of B?

Answers

Answer:

5,2

Step-by-step explanation:

the difference between a and m is 1,1 so 1,1 subtracted from the mid point(M) would be 5,2

What is the vertex of the quadratic function below?
y = 1/2x^2 + x. + 3
A. (-1,5)
B. (1/2,3)
C. (1,3)
D. (-1/,5/2)

Answers

Answer:

C

Step-by-step explanation:

Into the thick of it

How do I solve this?​

Answers

What you do is you use the x and y and turn them into coordinate points and put them on the graph. The points would be…

(-2, 1)
(0,-1)
(2, -3)

I hope this helped!

helppppppp pleaseeee f/4 - 5 = -9

Answers

Answer:

Step-by-step explanation:

f/4-5=-9

f-4*5/4=-9

f-20/4=-9

f-20=-9*4

f-20=-36

f=-36+20

f=-16

Answer:

f/4 - 5 = -9

f-20/4=-9

f-20=-9×4

f-20=-36

f=-36+20

f=-16

its a very simple question... wanna get brainliest. if so answer this ..
Did I colored the parts correct ... should the denominator be 4 instead of 2..??? ​

Answers

If you want it to be 1/2 then you would have to color in another part, but if you want it to be 1/4 then that’s what you drew and you would have to change the denominator to a 4.

I hope this helped.

What is x? Please help quickly!

Answers

Answer:

27 1/3

Step-by-step explanation:

Since both angles form a straight line of 180, you can set your formula up as

180=4x+2x+16

180-16=6x

164=6x

164/6=x

Can i have some help please best answer gets brainiest!

Answers

Answer:

a=35

Step-by-step explanation:

5x35=175, and 175 divided by 7 is 25 :)

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: a = 35}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] \: \frac{5a}{7} = 25[/tex]

➺[tex] \: 5a \: = 25 \times 7[/tex]

➺[tex] \: 5a = 175[/tex]

➺[tex] \: a = \frac{175}{5} [/tex]

➺[tex] \: a = 35[/tex]

[tex]\sf \bf {\boxed {\mathbb {To\:verify:}}}[/tex]

[tex] \: \frac{5a}{7} = 25[/tex]

➺[tex] \: \frac{5 \times 35}{7} = 25[/tex]

➺[tex] \: \frac{175}{7} = 25[/tex]

➺[tex] \: 25 = 25[/tex]

➺[tex] \: L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

what is the algebraic expression for 11 times a number x, minus a second number y ?​

Answers

Answer:1

Step-by-step explanation:

twice a number minus a second number is -1. Twice the second number added to three times the first number is 9. find the two numbers. System of Equations is how we are supposed to solve this word problem.

11x - y is the answer, if you need more help lmk!

In the diagram, the measure of angle 6 is 989
1/2
43
516
817
What is the measure of angle 7?

Answers

Answer:

82 degrees is the answer

Step-by-step explanation:

angle 6 and 7 are adjacent angles and adjacent angles add up to 180 deg. thus

angle 7 = 180 - 98 = 82 deg

The measure of ∠6 and ∠7 are on a straight line. This means there sum is equals to 180 degrees. Therefore, the measure of ∠7 is 82 degrees.

What is the sum of angle on a straight line?

The sum of angle on a straight line is 180 degrees. This simply means the total angle on a straight line is 180 degrees.

∠6 = 98 degrees

Therefore,

∠6 + ∠7 = 180°(angles on a straight line)

∠6 = 98 degrees

Hence,

98 + ∠7 = 180

subtract 98 from both sides

98 - 98 + ∠7 = 180 - 98

∠7 = 82 degrees.

learn more on angle on a straight line here: https://brainly.com/question/16025966

A bag contains five blue marbles, five red marbles, five white marbles, and five black marbles. You draw a marble from the bag, and then draw another marble from the bag.

Do you have a greater probability of drawing two blue marbles if you replace the first marble after you draw it or if you don't replace the marble?

Your answer should include both the mathematical proof and a written statement.

Answers

Answer:

If you replace the first marble, you have a higher chance of picking two blue marbles. Mathematical proof and written statement is shown below.

Step-by-step explanation:

Mathematical Proof :

For proof, we should test it out.

To find the total amount of marbles, we add up all the different colors in the bag.

5 + 5 + 5 + 5 = 20

Drawing 2 blue marbles while replacing the first probability :

The probability of drawing a blue marble at first is 5/20. If you then replace this marble, the probability doesn't change, it's still 5/20. To get the probability of getting two blue marbles and not replacing we multiply :

5/20 * 5/20 = 25/400 = 1/16

Drawing 2 blue marbles while NOT replacing the first probability :

The probability of first choosing a blue marble is 5/20, but you don't replace it, so now the probability of choosing a blue marble is 4/19, since one blue marble was taken. To find the probability of drawing two blue marbles but not replacing the first one we are going to have to multiply 5/20 * 4/19. That's 1/19.

So the probability of getting two blue marbles and replacing the first is 1/16, and the probability of getting two blue marbles and not replacing the first is 1/19. Well, which is greater? 1/16 is greater. If you replace the first marble, you have a higher chance of picking two blue marbles.

Written Statement :

If you replace the first marble you have a higher chance of getting two blue because you are increasing the number of blue marbles in the 20 total marbles. Now there is a greater number of blue marbles there is a greater chance you will pick blue.

Other Questions
PLSSSS HELP In 4-5 Spanish sentences, briefly describe one of your favorite past memories. You will be graded on (a) pronunciation, (b) correct verb usage, and (c) overall quality of your response. please help!! i have no clue what to do and this packet is due tonight. How do you conjugate regular verbs A train traveled for T = 2.0 hours at a constant speed of R = 36 miles per hour. Use the formula D = R T to find the total distance the train traveled (in miles). Do not include the units in your answer. You buy halibut at 28 per pound. One portion of seared halibut requires 6 ounces of halibut. How much dose the halibut for one portion cost? Estimate 16.26+4.169 by first rounding each number to the nearest tenth. The manager of a pizza chain in Albuquerque, New Mexico, wants to determine the average size of their advertised 13-inch pizzas. She takes a random sample of 37 pizzas and records their mean and standard deviation as 13.50 inches and 1.90 inches, respectively. She subsequently computes the 95% confidence interval of the mean size of all pizzas as [12.89, 14.11]. However, she finds this interval to be too broad to implement quality control and decides to reestimate the mean based on a bigger sample. Using the standard deviation estimate of 1.90 from her earlier analysis, how large a sample must she take if she wants the margin of error to be under 0.5 inch anyone know the missing angle ? 38. Joey set a school record for running the 200 m race. He completed the distance in20.6s. What was his average speed? After reading about the Winchester house, what other questions do you have about the house and Sarah Winchester? full form of CPU,RAM,ROM,ATM,GIGO AMI RIGHT IF NOT CORRECT ME GRADEBOOK IS CLOSING Help me plz Im too slow for this Write an equation for this graph Find the H.C. F. of :x2+ 2xy+y and 3ax+3ay A spring extends by 10cm when a mass of 100g is attached to it. What is the spring constant? x(x+2) + y (x + 2) - 5(x + 2) factor Describe the trends in properties of chlorides across period 3 .Their formula .Their state .Their volatility .Their structure .The ph of aqueous chloride solution Why was it difficult for Britain to maintain ownership of the United States? Give two reasons please. Indira buys 1250 square metres of land to build a hotel. Each square metre of land costs $12. Calculate the cost of the land. Answer(a) $ [1] (b) The cost of the land is 3% of the cost of the hotel. Calculate the cost of the hotel