Taylor Wilson: Attempt 1
Question 2 (1 point)
Mark and Don are planning to sell each of their marble collections at a garage sale. If
Don has 5 more than 4 times the number of marbles Mark has, how many does Don
have to sell if the total number of marbles is 75?

Answers

Answer 1

Answer:

Don has to sell 61 marbles.

Step-by-step explanation:

This question is solved by a system of equations.

I am going to say that:

Don has to sell x marbles.

Mark has to sell y marbles.

The total number of marbles is 75:

This means that:

[tex]x + y = 75[/tex]

Since we want to find x.

[tex]y = 75 - x[/tex]

Don has 5 more than 4 times the number of marbles Mark has

This means that:

[tex]x = 4y + 5[/tex]

Since [tex]y = 75 - x[/tex]

[tex]x = 4(75 - x) + 5[/tex]

[tex]x = 300 - 4x + 5[/tex]

[tex]5x = 305[/tex]

[tex]x = \frac{305}{5}[/tex]

[tex]x = 61[/tex]

Don has to sell 61 marbles.


Related Questions

How long will it take $10,000 to double at 11% simple interest? (Round to the nearest year)

Answers

Answer:

[tex]I =\frac{P*R*T}{100} = \frac{10000 * 11 * T}{100} = 1100T[/tex]

Given A =20000

[tex]Amount = Interest + Principal\\20000 = 1100T + 10000\\20000 - 10000 = 1100T\\\\T= \frac{10000}{1100} = \frac{100}{11} = 9.09 years[/tex]

T =9years

Como se escribe el numeral 300,105,020 4to grado

Answers

300 is even and a multiple of 3 and 10
105 is odd and a multiple 5, 3, and 7
20 is even and a multiple of 10 and 2

Help plz I need the gelopppppp

Answers

Answer:

the answer is 12

Step-by-step explanation:

fy: 143 +1.42 + 2.9°

Answers

Answer:

what does fy mean

Step-by-step explanation:

Step-by-step explanation:

I tell my friends about this and I found that FY means Fiscal year

triangle has an angle measures of 35° 85° and 60° what is the measure of the largest exterior angle

Answers

Answer:

325°

Step-by-step explanation:

The smallest interior angle has the largest exterior angle

35+x = 360

x = 360-35

x=325

Which equations is parallel to y=4x+8?

Answers

Answer:

y=4x-8

hope this helps

have a good day :)

Step-by-step explanation:

7m + 3mn
when m = 3 and n = -4

Answers

Answer:

-15

Step-by-step explanation:

When m=3 and n=-4

So, put the values

7(3)+3(3)(-4)

-> -15

Answer:

-15

Step-by-step explanation:

= 7(3) + 3(3)(-4)

= 21 + 3(3×-4)

= 21 + 3(-12)

= 21 + -36

= 21-36

= -15

A right rectangular pyramid is sliced through its vertex and perpendicular to its base as shown in the figure.

What is the shape of the resulting two-dimensional cross section?

Answers

Answer:

Triangle

Step-by-step explanation:

When you slice it in half, it becomes a triangle because the big equilateral triangle is turned into a right triangle.

The table shows the number of points Malik and Alexia scored while playing a video game together. Which equation relates Alexia’s score, a, to Malik’s score, m?

A. a=0.5m
B. a=1.5m
C. a= m+10
D. a=m+30

Answers

Answer:

D. a = m + 30

Step-by-step explanation:

It's not A, because that would be dividing Malik's score in half to get Alexia's score.

B only works for the first line.

C is adding 10 to Malik's score, and the difference is greater than that...it's 30 points.

pls help 10 pts
NO LINKS

Answers

Answer:

784

Step-by-step explanation:

First get the total area of the rectangle

40 * 20 = 800

Now get the triangle.

The base will be 20 - 16 = 4

The height will be 40 - 32 = 8

Your formula for area of a triangle is

A = height * (base/2)

A = 8 * (4/2)

A= 8 * 2

A = 16

Now substract the triangle from the total of the rectangle

800 - 16

Chloe breaks into the pantry after Albert goes to work. She finds and opens a family-pack of mixed nuts. After surfing the web, she finds that these packs claim to be 20% almond (A), 30% cashew (C), 10% macadamia (M), and 40% peanut. Chloe discovers that her bag contains 14 almonds, 28 cashews, 6 macadamias, and 52 peanuts.
a) Perform an appropriate test to determine whether this claim is true or not at a = 0.05. State all the relevant steps (listed in exercise 1).
b) What is the decision and conclusion (write a sentence) at a = 0.1?
c) Chloe is a choosy and sneaky doggie. She likes to find a p-value first and then come up with a significance level, a later so she can reject as many Hos as possible. Is her method acceptable?

Answers

Solution :

In this case we have to use [tex]$\text{chi square test}$[/tex] for the goodness of fit.

Null hypothesis is : [tex]$H_0 :$[/tex] Data follows the given distribution

Alternate hypothesis is : [tex]$H_a:$[/tex] Data do not follow the given distribution

The level of significance, [tex]$\alpha = 0.05$[/tex]

The test statistics is given by :

Chi square = [tex]$\sum\frac{(O-E)^2}{E}$[/tex]

Here O is the observed frequencies

         E is the expected frequencies

So we have, N = number of the categories = 4

df = degrees o freedom = N - 1

                                        = 4 - 1 = 3

Critical value  = [tex]$7.814727764$[/tex]

Calculating the table for the test statistics are given as :

  Category      prop.     O        E       [tex]$\frac{(O-E)^2}{E}$[/tex]

   A                   0.2     14       20         1.80

   C                   0.3     28       30         0.13

   M                  0.1        6        10          1.60

  P                    0.4      52       40         3.60

Total                  1        100      100        7.13

The test statics = chi square  = [tex]$\sum\frac{(O-E)^2}{E}$[/tex] = 7.13

[tex]$X^2$[/tex] statistics = 7.13

P-value = 0.067767248

P -value > [tex]$\alpha = 0.05$[/tex]

Therefore, we do not reject the [tex]$\text{null hypothesis}$[/tex]. There is sufficient evidence to conclude that the data follows the given distribution. So there is sufficient evidence to conclude the given claim is true.

Michelle has 3/5 pounds of sugar. She gave her neighbor some sugar. Now she has 1/2 pounds of sugar left. How much sugar did she give to her neighbor?

Answers

Answer: 1/10

Step-by-step explanation:

Answer:

1/10 pound

Step-by-step explanation:

If you set up the equation as 3/5 - 1/2, you'll have to give them a common denominator. Multiply 3/5 by 2 and multiply 1/2 by 5, and now you can rewrite this equation as 6/10 - 5/10. From here, just subtract and you'll get 1/10.

PLEASE HELP ME NOW!!!!!The television repair charge at "We Fix TVs" is $20 per hour plus a $60 flat fee charge. The television repair charge at "Electronic Depot" is $40 per
hour with no flat fee. Write a system of equations to model the charges for each repair shop.

Answers

Answer:

Step-by-step explanation:

we fix tvs

20h+60

electronic depot

40h+0

n more than 12
A) n/12
B) 12 +n
C) 22
D) 12-n

Answers

Answer:

B) 12 +n

Step-by-step explanation:

"More than" is a key word.

Whenever you see more than, you are adding.

The answer is B hope this helps

20 points! And BRAINLIEST!

Answers

Answer:

32 sq. ft.

Step-by-step explanation:

1/2 (8x8)=1/2(64)=32

The terminal side of in standard position contains the point (20, 21) . Find the exact values of the six trigonometric functions of? Please help

Answers

Answer:

27,29

Step-by-step explanation:

what is 2476476263278x342234324

Answers

Answer:

8.4753518e+20

Step-by-step explanation:

I used calculator. You should've used a calculator too.

Maya needs 54 cubic foot of soll for her garden, She already has 4,5 cubic feet of
soll. Each bag contains 1.5 cubic feet of soll. How many bags of soil should Maya
purchase?

Please help I will mark you brainliest

A.33
B. 9
C. 36
D. 12

Answers

the answer is A, let me know if you need an explanation

f(x) = 3√4x
g(x) = 2x + 3
Find ( f/g) (x). Include any restrictions on the domain

Answers

Answer:

B

Step-by-step explanation:

To find [tex](\frac{f}{g} )(x)[/tex] you can write the expression as [tex]\frac{f(x)}{g(x)}[/tex]. We can substitute the f(x) and g(x) into the expression to get: [tex]\frac{\sqrt[3]{4x} }{2x+3}[/tex]. Now we need to find the domain. The numerator is fine, and the domain is all real numbers, but in a fraction, the denominator cannot equal 0. We can write:  [tex]2x + 3\neq 0[/tex] and we can solve it:

[tex]2x\neq -3[/tex]

[tex]x\neq -\frac{3}{2}[/tex]

This is the same as option B.

The required function (f/g)(x) is 3√4x/2x+3 where x ≠ -3/2. Option C is correct

Given the functions

f(x) = 3√4x

g(x) = 2x + 3

We are to find the resulting function (f/g)(x)

(f/g)(x) = f(x)/g(x)

(f/g)(x) = 3√4x/2x+3

Restriction to the function occurs at the point where the denominator is zero.

2x = 3 = 0

2x = -3

x = -3/2

Hence the required function (f/g)(x) is 3√4x/2x+3 where x ≠ -3/2

Learn more here: https://brainly.com/question/11187697

The soup pot is 8 inches tall with a radius of 3 inches.
What is the volume of the soup pot?
150.8 cubic inches
anything
99+

Answers

Answer:

The volume of the soup pot is of 226.19 cubic inches.

Step-by-step explanation:

Format of a soup pot:

A soup pot has a cylindrical format.

Cylinder volume:

The volume of a cylinder, with radius r and height g is given by:

[tex]V = \pi r^2h[/tex]

The soup pot is 8 inches tall with a radius of 3 inches.

This means that [tex]h = 8, r = 3[/tex]

What is the volume of the soup pot?

[tex]V = \pi r^2h = \pi*3^2*8 = 72\pi = 72(3.1415...) = 226.19[/tex]

The volume of the soup pot is of 226.19 cubic inches.

Please Help if you can!! I also have more questions in my profile!

Answers

Answer:

(0, 9), (0, 0), (0, 1)

Step-by-step explanation:

Hope it helps you in your learning process.

Simplify 3-b(7b+ 2) + 3b - (11 – b).
A.)-7b2 + 2b - 10
B.)-7b2 + 2b -8
C.)8b - 6
D.)-5b -8

Answers

Answer:

B

Step-by-step explanation:

Answer:

The Answer is gonna be B) -7b2 + 2b -8

Explanation :

= 3-b(7b+ 2) + 3b - (11 – b).

= -7b2 +

=7b2 - 2b +3b +b - 11 + 3

= 3- 7b2 - 2b + 3b- 11+ b

= 7b2 +2b - 8

Sorry I corrected my mistake and B was the right Answer :3

This is the right Answer :3

I hope you are having a great day ❤️❤️❤️❤️❤️

please help me with this. will give brainliest due in 5 minutes

Answers

Answer:

A

Step-by-step explanation:

The graphs below have the same shape. What is the equation of the blue
graph?

Answers

Answer:

[tex]g(x)=(x-4)^2+1[/tex]

Step-by-step explanation:

The graph is shifted 4 to the right and 1 up. When a graph is moving left or right, the sign switches. Right means -, left means +.

The equation of the blue graph is g(x)  = (x+4)² - 2

What is Parabola?

A parabola is a U-shaped curve this is drawn for a quadratic function,

f(x) = ax² + b x + c. The graph of the parabola is downward (or opens down), when the price of a is much less than 0, a < 0. The graph of the parabola is upward (or opens up) when the value of a is more than 0, a > 0.

parabola, open curve, a conic segment produced via the intersection of a proper circular cone and a plane parallel to an element of the cone.

Vertical shifting of a graph is done by adding any arbitrary constant to the function in shifting.

For example, If shift up by 1 unit,  add 1 to the function

If shift down by 4 units, subtract 4 from the function

x+4 because adding 4 to the x coordinate would shift it over 4

y+2 because adding 2 to the y coordinate would shift it up 2

⇒ g(f(x)) = ( x+4, y +2 )

⇒ g(x) + 2 = (x+4)²

Hence, the equation of the blue graph is g(x)  = (x+4)² - 2

Learn more about parabola here:

brainly.com/question/4074088

#SPJ5

You ask 125 randomly chosen students to name their favorite foods. There are 1500 students in the school. Predict the number of students in the school whose favorite food is pizza. Pizza 58. Hamburger 36. Pasta 14. Other 17

Answers

Answer:

1500/125=12

58x12=696

not sure

Step-by-step explanation:

ASAP HELP PLEASE I WILL GIVEE 100 just help me please and ASAP

Answers

Answer:

A

Step-by-step explanation:

Find the length of c using the Pythagorean theorem

Answers

Answer:

13

Step-by-step explanation:

The Pythagorean theorem state

a^2 +b^2 = c^2  where a and b are the legs and c is the hypotenuse

5^2 + 12^2 = c^2

25+144 = c^2

169 = c^2

Take the square root of each side

sqrt(169) = sqrt(c^2)

13 = c

eddie has a steel rod that is 50 inches long. He uses a saw to cut off 2.75-inch pieces from the end of the rod. After cutting off a certain number of pieces, the steel rod is now 36.25 inches long. How many pieces did Eddie cut off the end of the steel rod?

a.) 4 pieces
b.) 5 pieces
c.) 7 pieces

Answers

Answer: B. 5 pieces

Step-by-step explanation:

36.25 + 2.75 = 39.00 + 2.75 = 41.75 + 2.75 = 44.50 + 2.75 = 47.25 + 2.75 = 50

A hotel has 20 rooms.
A big room costs $30.
A small room costs $10.
If they rent all the rooms and make $480.
How many Large rooms?
How many Small rooms?

Answers

30 large
3 small
or 10 large 18 small

Write an equation for the proportional relationship shown in the table

Answers

Answer:

y =74x

Step-by-step explanation:

A proportional relationship is represented by y = kx where x is the independent variable, or input, k is the constant of proportionality, and y is the dependent variable or output.

What do we do to the values in the row for x to get the values in the row of y?

It helps to have x = 1 in this table.

74 = (k)(1)

74 = k

Other Questions
Please help will mark as brainliest if correct 1. The mayor of a town has proposed a plan for the construction of an adjoining bridge. A political study took a sample of 800 voters in the town and found that 71% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is more than 68 %. Testing at the 0.02 level, is there enough evidence to support the strategist's claim? State the null and alternative hypotheses. 2. The mayor of a town has proposed a plan for the construction of an adjoining bridge. A political study took a sample of 800 voters in the town and found that 71% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is more than 68 %. Testing at the 0.02 level, is there enough evidence to support the strategist's claim? Find the value of the test statistic. 3. The mayor of a town has proposed a plan for the construction of an adjoining bridge. A political study took a sample of 800 voters in the town and found that 71% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is more than 68 %. Testing at the 0.02 level, is there enough evidence to support the strategist's claim? Specify if the test is one-tailed or two-tailed. 4. The mayor of a town has proposed a plan for the construction of an adjoining bridge. A political study took a sample of 800 voters in the town and found that 71 % of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is more than 68 %. Testing at the 0.02 level, is there enough evidence to support the strategist's claim? Determine the P-value of the test statistic. 5. The mayor of a town has proposed a plan for the construction of an adjoining bridge. A political study took a sample of 800 voters in the town and found that 71% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is more than 68 %. Testing at the 0.02 level, is there enough evidence to support the strategist's claim? Identify the value of the level of significance.6. The mayor of a town has proposed a plan for the construction of an adjoining bridge. A political study took a sample of 800 voters in the town and found that 59% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is over 54%. Make the decision to reject or fail to reject the null hypothesis at the 0.01 level.7. The mayor of a town has proposed a plan for the construction of an adjoining bridge. A political study took a sample of 800 voters in the town and found that 71% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is more than 68 %. Testing at the 0.02 level, is there enough evidence to support the strategist's claim? State the conclusion of the hypothesis test. Genetic Variation and Evolution Quick CheckIn which of the following scenarios would evolution by natural selection take place? (1 point)O A banana tree branch is planted, producing a clone of the parent treeO Corn is genetically modified and cloned to make identical cropsO Microorganisms reproduce asexually, producing identical offspringO Penguins reproduce sexually, producing offspring that look different from one another Explain at least one way in which water resources have been affected by human population growth. Predict how you think the water supply will be affected by continued human population growth. Justify your answer using evidence. ASAP PLS Which of the following countries were part of French Indochina? Check all that apply.PhilippinesBurmaCambodiaMalaysiaLaosVietnam PLEASE HELP ALGEBRA 1 What is the function of the fictional author's input into the story? Ron and amber bought a pizza, Ron ate 3/10 of the pizza, Amber ate 1/10 of the pizza. Together, which fraction of the pizza did they eat?A. 1/5B. 1/3C. 1/4D. 3/100E. 2/5 A lenght of wire is bent to make a square of side 3.2 cm a: what is the length of wire in the square B: if the wire is silver costing 50 naira per centimetre what is the cost of the square C: 20 of the squares are linked together to make a necklace what does it cost to make the necklace Southern Secession What is secession? Which state seceded first? What happened after the southernstates seceded? . Fill in the blanks to explain howscientists learned to make carssafer.Scientists used dummies in carThe scientists foundthathelped keep thedummies safe. PLEASSEEEEE I NEED HELP NOW QUICK PLS Presidential nominations of Supreme Court Justicescan lead to controversy becauseA. The president and Congress sometimes have different views on the judicial philosophy that proposed justice should not hold B. Congress consistently refuses to approve candidates who are not members of the majority partyC. Presidents must often nominate their friends than persons with judicial experienceD. Congress claims that it has the sole right to nominate justices Classify the polynomial by the number of terms.mx+bTrinomialMonomialPolynomialBinomial Which of the following was a reason that England did not have a successful colonial venture in the NewWorld until 1607?Choose 1 answer:A) Lack of navigation technologyB) Colonial successes in Europe, particularly IrelandC) Religious and political turmoil at home Find the surface area of the square pyramid. Enter your answer in the box.A square pyramid. The side length of the base is 11 centimeters. The height of each of the 4 triangular faces is 10 centimeters. By visual inspection, determine the best-fitting regression model for thescatterplotX5-10A. LinearB. QuadraticC. ExponentialD. No pattern An empty beaker weighs 20g and when filled with kerosene weighs 60g. If the volume of the kerosene is 15cm3, calculate the density of the kerosene I'LL GIVE BRAINLIEST TO THE RIGHT ANSWER! Given that black is dominant over brown and that a pure-bred black mouse is mated to a pure-bred brown mouse, the offspring phenotype can be expected to be _____.all blackall brown-black mixbrown, blackall brown Round 1379842 to the nearest 1000 15 POINTS + BRAINLIEST HELP PLEASE.