Malia Uses 51 Yards Of Ribbon To Make 17 Bows. The Relationship Between Ribbon And Bows Is Proportional. (2024)

Mathematics High School

Answers

Answer 1

Malia that uses 51 yards of ribbon to make 17 bows will have to use 204 yards of ribbon to make 68 bows

To solve this problem we will use a rule of three with the problem information:

17 bows-------- 51 yards of ribbon

68 bows-------- x

Applying the rule of three we get:

x = (68 bows * 51 yards of ribbon) /17 bows

x = 204 yards of ribbon

What is rule of three?

It describes the proportionality of 3 known data and an unknown data. When you have more than 3 known facts that are involved in the proportionality, it is known as a compound rule. The rule of three is also known as a direct proportions.

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Related Questions

use the method of undetermined coefficients to set up the 5 × 5 vandermonde system that would determine a fourth-order accurate finite difference approximation to u 00(x) based on 5 equally spaced points,

Answers

The fourth-order accurate finite difference approximation is:

u00(x) = c−2u(x − 2h) + c−1u(x − h) + c0u(x) + c1u(x + h) + c2u(x + 2h) + O(h4).

Compute the coefficients using the matlab code fdstencil.m and check that they satisfy the system you determined in part (a).

Test this finite difference formula to approximate u

00(1) for u(x) = sin(2x) with values of h from the array hvals = log space(-1, -4, 13). Make a table of the error vs. h for several values of h and compare against the predicted error from the leading term of the expression printed by fdstencils.

You should observe the predicted accuracy for larger values of h. For smaller values, numerical cancellation in computing the linear combination of u values impacts the accuracy observed.

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Mrs. Banks wants to make 44 qt of jelly with 70 lb of fruit. If each gallon of jelly needs 6
6
12
1
2
lb of fruit, will she have enough fruit? How much leftover fruit does she have, or how much more fruit is needed? Use the conversion factor 1 gallon4 quarts

gallon
4

quarts

Answers

Answer:

Step-by-step explanation:

In 1, is 4. Okay, this a good answer.

use the accompanying statcrunch session to obtain a simple random sample of 5 high schools in the city of chicago.

Answers

Using sampling concepts, one sample of 5 high schools in the city of Chicago is given by:

Englewood Stem, Hyde Park, Lake View, Marshall, Noble - UIC.

What is the missing information?

The problem is incomplete, but researching it on a search engine, it gives us a list of 15 high schools in Chicago, and asks us to take a sample of 5.

What is population and sample?

Population: Collection or set of individuals or objects or events whose properties will be studied.Sample: The sample is a subset of the population, and a well chosen sample, that is, a representative sample will contain most of the information about the population parameter. A representative sample means that all groups of the population are inserted into the sample.

Hence, from the concepts of sample and populations, the sample of 5 means that we have to select 5 schools from the 15 listed, hence they are:

Englewood Stem, Hyde Park, Lake View, Marshall, Noble - UIC.

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is 2n = 2m + n given or proven

Answers

The given equation is 2n = 2m + n and the proof is n = 2m

What are linear equations?

Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

How to evaluate the given equation?

The equation is given as

2n = 2m + n

Subtract n from both sides of the equation

So, we have

-n + 2n = 2m + n - n

Evaluate the like terms

n = 2m

Hence, the given equation is 2n = 2m + n and the proof is n = 2m

Answers

A whole number larger than 2 leaves a remainder of 2 when divided by each of the numbers 3, 4, 5, and 6 is 62.

What are whole numbers?Whole numbers are numbers without fractions and consist of positive integers and zero. It is represented by the symbol "W," and the numbers are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,...............Zero in its entirety represents nothing or a null value.

To find the whole number:

LCM of 3, 4, 5, and 6 = 3 × 2 × 2 × 5 = 60Add the remainder 2 in 60: 60 + 2 = 62So, the whole number is 62.

Therefore, a whole number larger than 2 leaves a remainder of 2 when divided by each of the numbers 3, 4, 5, and 6 is 62.

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Raymond's bank account was overdrawn by $32.55. He makes two deposits of $100 each and then makes a purchase of $86.72. What is his account balance?

Answers

Raymond's account balance after depositing two deposits of $100 , purchase of $86.72 with overdrawn amount $32.55 is equal to $80.73.

As given in the question,

Raymond's bank account has:

Overdrawn amount in bank = $32.55

Deposits amounts by Raymond's = 2 × ( $100 )

= $200

Purchase amount = $86.72

Account balance in Raymond's account = ( $200 - $32.55 - $86.72 )

= ( $200 - $119.27 )

= $80.73

Therefore, Raymond's account balance after depositing two deposits of $100 , purchase of $86.72 with overdrawn amount $32.55 is equal to $80.73.

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ar travels on a straight, level road. (a) Starting from rest, the car is going 38 ft/s (26 mi/h) at the end of 4.5 s. What is the car's average acceleration in ft/s²?

Answers

The car's average acceleration is 8.44 ft/s².

Acceleration is defined as the rate of change of velocity per unit time. It is usually denoted by the letter a.

Here, we are given that a car travels on a straight road. Starting from rest, the car is going at 38 ft/s (26 mi/h) at the end of 4.5 s.

Acceleration of an object can be calculated using the given formula-

acceleration = velocity/ time

Here, the velocity of the car will be 38 ft/s

and the time is equal to 4.5 seconds.

Answers

Answer:

15 years old

Step-by-step explanation:

Answer: 22

Step-by-step explanation:

this problem is solved by a system of equations

Let Arthur’s current age be represented by:a

His brother’s current age will be represented by: b

The first equation will be:

a = 7 + b

The second equation will be:

a + 8 = 2b

now we solve for the equations. Plug in a = 7+b into a in the second equation.
So now we have

b+7+8=2b

Simplify:

B+15=2b

15=b

We aren’t done yet though

Arthur’s brother is 15 years old but since he is 7 years older we need to add 7 to 15

Hence, Arthur is 22 years old.

PLEASE HELP ME!
A research group surveyed 150 students. The students were asked how often they go to the movies and whether they prefer action movies or comedies. Their responses are summarized in the following table.

Answers

Answer:

72% go twice a month

60% prefer comedies

Step-by-step explanation:

45+63=108

108/150=0.72 ---> 72%

63+27=90

90/150=0.6 ---> 60%

(01.06 mc) craig has 72 feet of material to build a fence around a rectangular flower bed on his property. if the width of the fence must be 3 feet, w

Answers

The fence is 33 feet long when measured in yards.

Here,

In order to erect a fence around a rectangular flower garden on his property, Craig has 72 feet of material.

If the fence must be 3 feet in width, then, assuming he uses the entire 72 feet of material, we must determine the fence's length in yards.

What is the rectangle's perimeter?

The rectangle's perimeter is 2 (l + b). l being the length. b=breadth (width).

Now,

A rectangular flower bed should be x feet long.

(Length + Width)2 = the perimeter of a rectangular flowerbed.

72 = 2 (x + 3)

36 = x + 3

x = 33 feet

Hence, The fence is 33 feet long when measured in yards.

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the measure of an angle is 26.5 what is the measure of its complementary angle

Answers

Answer: 63.5

Step-by-step explanation:

90 - 26.5 = 63.5

1. true or false?
2.true or false?
3.true or false?
4.true or false?

(don’t mind the circled answers)

Answers

Answer:

1. true

2. false

3. false

4. true

Step-by-step explanation:

Zachary has $40 to spend on his
vacation. He would like to save $10 for
souvenirs on the last day. He spent $12
at the waterpark and $8.50 on food.
With the remaining money, he would like to
play arcade games in the hotel. Each
game costs $1.50. Write an inequality for
the number of games he can play.
Refine your variable.

Answers

Answer: He can play 6 games

Step-by-step explanation:

40-10 = 30

30- 12 = 18

18- 8.50 = 9.50

9.50 divided by 1.50 = 6.3

Find the surface area of the figure.
6 in.
6 in.
6 in.

SA = [?]in.²
Hint: Area of Triangle = b•h

Answers

The answer is:

A 0.5 x 6 x 6

Answer is 18

25 points plus brainliest

Answers

Answer: 3x+4y=5

Step-by-step explanation:

[tex]\displaystyle\\y=-\frac{3}{4}x+\frac{5}{4} \\\\Multiply \ both\ parts\ of \ the\ equation\ by\ 4:\\\\(4)(y)=(-\frac{3}{4}x )(4)+(\frac{5}{4})(4)\\\\4y=-3x+5\\\\4y+3x=-3x+5+3x\\\\ 3x+4y=5[/tex]

O
Sep 15, 12:33:42 PM
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Tyler just lit a new candle and then let it burn all the way down to nothing. The initial
length of the candle was 15 inches and the candle burned at a rate of 1.25 inches per
hour. Write an equation for L, in terms of t, representing the length of the candle
remaining unburned, in inches, t hours after the candle was lit.
Answer: L=

Answers

1.25 in/hr is an equation for L, in terms of t, representing the length of the candle remaining unburned, in inches, t hours after the candle was lit.

Answers

Answer:

pls state the question in another state

Step-by-step explanation:

okay

PRACTICING SKILLS & CONCEPTS
1. Solve the shape equation puzzle.
+
+
=
= 10
6=
8 =

Answers

The value of box/ square is 5, value of circle is 3 and the value of star is 6.

Let box/ square be denoted by x

let the circles be denoted by y

let the stars be denoted by z

now, let us make three linear equation based on the diagram provided

1. x + x = 10

2. y + z= 9

3. y+ x = 8

solving equation 1

x + x = 10

2x = 10

x = 5

Putting the value of x in equation 3

y + x=8

y + 5 = 8

y = 3

Putting the value of y in equation 2

y + z = 9

3 + z= 9

z = 6

Hence , The value of box/ square is 5, value of circle is 3 and the value of star is 6.

A linear equation is one in which the variable's maximum power is always 1. A one-degree equation is another name for it. A linear equation in one variable has the conventional form Ax + B = 0. In this equation, x is a variable, A is a coefficient, and B is constant. A linear equation in two variables has the conventional form Ax + By = C.

A linear equation is an equation with the maximum degree of one. This means that in a linear equation, no variable has an exponent greater than 1. A linear equation's graph is always a straight line.

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jillian is trying to save water, so she reduces the size of her square grass lawn by 8 feet on each side. the area of the smaller lawn is 144 square feet. in the equation (x – 8)2

Answers

The dimensions of original lawn are a. 4 feet by 4 feet.

As per the equation and information mentioned in question, x represents the dimension of original lawn. The equation in question represents the relation between area of lawn at side of reduced lawn and it's area. We will solve this equation to find the value of x.

[tex](x - 8)^{2} = 144[/tex]

The expression on Left Hand Side is same as [tex](a - b)^{2}[/tex]. We know, on expansion, we write it as [tex]a^{2} + b^{2} - 2ab[/tex]. Thus, new equation will be -

[tex]x^{2} + 8^{2} - 2*x*8 = 144[/tex]

[tex]x^{2} + 64 + 16x = 144[/tex]

[tex]x^{2} + 16x + 64 - 144 = 0[/tex]

[tex]x^{2} + 16x - 80 = 0[/tex]

[tex]x^{2} + 20x - 4x - 80 = 0[/tex]

x (x + 20) -4 (x + 20) = 0

(x + 20) (x - 4) = 0

So, the two values of x that we get are:

x = 4 and -20.

The dimensions of lawn can not be negative. Hence, the value of x will be x.

Therefore, the dimensions of original lawn are a. 4 feet by 4 feet.

The complete question is -

Jillian is trying to save water, so she reduces the size of her square grass lawn by 8 feet on each side. The area of the smaller lawn is 144 square feet. In the equation [tex](x - 8)^{2} = 144[/tex], x represents the side measure of the original lawn. What were the dimensions of the original lawn?

a. 4 feet by 4 feet

b. 8 + [tex]6\sqrt{2}[/tex] feet by 8 + [tex]6\sqrt{2}[/tex] feet

c. 8 - [tex]6\sqrt{2}[/tex] feet by 8 + [tex]6\sqrt{2}[/tex] feet

d. 20 feet by 20 feet

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What is 75 Of 625 percent

Answers

Answer:

75 * (625 percent) = 468.75

Step-by-step explanation:

How much grape juice would you need to mix with 154 quarts of sparkling water?

Answers

The amount of grape juice need to mix with 15 / 4 quarts of sparkling water is , 15/8 quarts.

What is Quart measurement ?

The quart is a measurement which is use to find the capacity of liquid. Or we can say Quart is a unit of liquid volume which is measured in gallon. There are different measurements into which we can convert the unit such as ounces and liters.

Mathematically, we can write :

1 quart = 32 fluid ounces

1 quart = 0.94 US liters = 4 cups (approx.)

According to question,

[tex]1\frac{1}{2}[/tex] quarts of water = 3/2 quarts of water = 3/4 quarts of grape

let, 15 /4 quarts of sparkling water = x

now, solving the equation

x = ( 3/4 × 15/4 ) ÷ 3/2

x= 3/4 × 15/4 ×2/3

x =15/8

Thus, The grape juice needed is , 15/8 quarts.

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The complete question is :

A recipe of sparkling grape juice is made with [tex]1\frac{1}{2}[/tex] quarts of sparkling water and 3/4 quarts of grape juice? How much of grape juice would you need to mix with 15/4 quarts of sparkling water?

San Diego's family took a road trip to Mount Rushmore San Diego fell asleep 44% of the way through the trip if the total length of the trip was 400 miles how many miles have they traveled when he fell asleep

Answers

The number of miles that they traveled when San Diego fell asleep will be 176 miles.

How to illustrate the information?

It should be noted that from the information, San Diego's family took a road trip to Mount Rushmore and San Diego fell asleep 44% of the way through the trip.

In this case, the total length of the trip was 400 miles.

Therefore, the number of miles that they traveled when he fell asleep will be:

= Percentage × Total miles

= 44% × 400

= 0.44 × 400

= 176 mile

Therefore, the number of miles that they traveled when San Diego fell asleep will be 176 miles.

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What is the student error in the multiplication below?

Multiply the ones: 957 times 23 = 2871. Above the 9 in 957 is 1, above the 5 in 957 is 2.

Multiply the tens: 957 times 23 = 2871. 2871 + 1914 = blank. Above the 9 in 957 is 1, above the 5 in 957 is 1.

Answers

Answer:

When multiplying the tens, the student didn't use the 0 place holder for the ones place.

Step-by-step explanation:

When using or doing long multiplication the answer was correct (2871) BUT before multiplying the tens, a zero should be placed in the ones place of the results. So, the tens should be 19140

2871+19140=22011

Answer: 1) When multiplying the ones, the student did not carry over a ten to the next place in the first multiplication.

2) When multiplying the ones, the student should have calculated 3 times 2 plus 5 as 11 and placed a 1 in the tens place.

3) When multiplying the tens, the student did not use the 0 place holder for the ones place.

4) When multiplying the tens, the student should have calculated 2 times 1 plus 9 as 11 and used a 1 should in the hundreds place.

Answer:

The correct option is;

4) When multiplying the tens, the student did not use the 0 place holder for the ones place

Step-by-step explanation:

Here we have when doing long multiplication, the student correctly multiplies the ones as 2871, however, before commencing multiplication of the tens, a 0 should be placed in the ones place of the result as a place holder such that the outcome of the multiplication of the tens should be;

19140

Hence, the correct result should be 2871 + 19140 = 22011

The correct option is therefore, that "When multiplying the tens, the student did not use the 0 place holder for the ones place."

Step-by-step explanation:

At a football game, a vender sold a combined total of 144 sodas and hot dogs. The number of sodas sold was two times the numbers of hot dogs sold. Find the number of sodas and the number of hot dogs sold.

Answers

The answer is Hotdogs = 48 Sodas = 96

ALGAE A scientist has a fish tank in the shape of a rectangular prism. The tank is 18 inches high, 14 inches wide, and 30 inches long. After one month, the scientist found that the sides and bottom of his fish tank were covered with algae. The scientist wants to run tests on the algae to help determine why it started to grow. How much algae is there for the scientist to test?

Answers

the algae that is present with the scientist to research upon covers a surface area of 2004 inches² in the rectangular prism.

The dimensions of the rectangular prism is given by:

Height = h = 18 inches

Width = w = 14 inches

Length = l = 30 inches

Now, we have to calculate the surface area of the tank excluding the top of the tank to find out how much algae has been present there for the scientist to test.

So, the formula for surface area will become:

A = 2(w l + h l + h w) - l w ( as the top has to be excluded)

Now substituting the values of l, w and h, we get that:

A = 2 [ (14) (30) + (18) (30) + (18) (14) ] - (30) (14) inches²

A = 2 [ 420 + 540 + 252 ] - 420 inches²

A = 2 [ 1212 ] - 420 inches²

A = 2424 - 420 inches²

A = 2004 inches²

Therefore, we get that, the algae that is present with the scientist to research upon covers a surface area of 2004 inches² in the rectangular prism.

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Write the equation of the parabola in vertex form.
vertex (3,4), point (1,-4)

Answers

Answer:

y = - 2(x - 3)² + 4

Step-by-step explanation:

the equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

here (h, k ) = (3, 4 ) , then

y = a(x - 3)² + 4

to find a substitute (1, - 4 ) into the equation

- 4 = a(1 - 3)² + 4 ( subtract 4 from both sides )

- 8 = a(- 2)² = 4a ( divide both sides by 4 )

- 2 = a

y = - 2(x - 3)² + 4 ← equation in vertex form

Factor completely.
100-9x^2=

please help!!

Answers

Answer:

(10 + 3x) (10 - 3x)

Hope this helps!

The two triangles below are similar.
Calculate the value of x.
Give your answer as an integer or as a fraction in its simplest form
15 mm
C
3 mm
xmm
D
10 mm
Not drawn accurately

Answers

Answer:

50mm

Step-by-step explanation:

From the smaller to the larger:

Let s + the scale factor

3s = 10 Divide both sides by 3

s = [tex]\frac{10}{3}[/tex]

15[tex](\frac{10}{3})[/tex] = [tex]\frac{150}{3}[/tex] = 50

Find the surface area of a cube with side length og 6 1/2 inches.
PLEASE SHOW WORK

Answers

The surface area of a cube with side length of 6 1/2 inches is 253.5 square in

Surface area of cube

The formula for calculating the surface area of cube is expressed as:

Surface area = 6L^2

where

L is the side length of the cube

Substitute

SA = 6(13/2)^2

SA = 6 * 169/4

SA = 3 * 169/2

SA = 253.5 square in

Hence the surface area of a cube with side length of 6 1/2 inches is 253.5 square in

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b. Parallel lines are lines that will never intersect. Do parallel lines exist in spherical geometry? Explain your answer.

Answers

Yes parallel line exist in spherical geometry. The radius or diameter and the tangent can be a pair of parallel line in spherical geometry

How parallel can exist in spherical geometry

The tangent of the sphere refers to a line that make contact with only a point in the sphere. The tangent is perpendicular to the center and the radius can be drawn to be parallel to the tangent.

The radius refers to a line running from the center to an end of the circle. Two radius can be drawn say radius A and radius B. Radius A will be drawn perpendicular to the tangent and radius B drawn perpendicular to radius A.

The pair of lines tangent and radius B will be parallel to each other.

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