You and a friend are knitting a scarf that will be 72 inches long. Your friend knits the first 24 inches and then gives you the scarf to finish. You expect to knit at a rate of 8 inches per day.

Answer: 3/11

Step-by-step explanation:

Number of purple marbles = 6

Number of blue marbles = 5

Total number of marbles = 6 + 5 = 11

The probability of picking the dust purple marble will be 6/11. After a purple marvel has been picked, there'll be 5 purple marbles left and the total number of marbles will be 10, therefore the probability of picking the second purple marble will be 5/10.

Therefore we then multiply the probability of picking the first purple marble by the probability of picking the second purple marble. This will be:

= 6/11 × 5/10

= 6/11 × 1/2

= 3/11

Answer:

The answer is 114 degrees.

Step-by-step explanation:

Since the angles are opposite from each other, it will be the same degrees.

Answer:

4.5 miles

Step-by-step explanation:

so basically 1 hour equals 60 minutes so we divide 60 by 20 because he can ride 1.5 miles in 20 minutes. so 60/20 is 3 and now all we do is multiply 1.5 by 3 which gives us 4.5.

Answer:

W = 4

Step-by-step explanation:

The nice thing about algebra is that you can look for any variable in an equation as long as you have the number for the other variables.

1. Write our the equation. V = l w h

2. Put in as many numbers as you can. 60 = 5 w 3

3. Isolate the variable. To do that perform the mathematical opposite to the target on both sides. So to get rid of five, we have to divide it on both sides of the equal sign.

60/5 = w 3

12/3 = w

4 = w

The width is 4cm

Answer:

Option B,C and E are solution to given inequality [tex]y - 3x < -8[/tex]

Step-by-step explanation:

We need to check which ordered pairs from given options satisfy the inequality [tex]y - 3x < -8[/tex]

Ordered pairs are solutions to inequality if they satisfy the inequality

Checking each options by pitting values of x and y in given inequality

A ) (1, -5)

[tex]-5-3(1)<-8\\-5-3<-8\\-8 < -8 \ (incorrect)[/tex]

So, this ordered pair is not the solution of inequality as it doesn't satisfy the inequality.

B) (-3, - 2)

[tex]-2-3(-3) < -8\\-2-9<-8\\-11 < -8 (true)[/tex]

So, this ordered pair is solution of inequality as it satisfies the inequality.

C) (0, -9)

[tex]-9-3(0)<-8\\-9-0<-8\\-9<-8 \ (true)[/tex]

So, this ordered pair is solution of inequality as it satisfies the inequality.

D) (2, -1)

[tex]-1-3(2)<-8\\-1-6<-8\\-7<-8 \ (false)[/tex]

So, this ordered pair is not the solution of inequality as it doesn't satisfy the inequality.

E) (5, 4)​​​

[tex]4-3(5)<-8\\4-15<-8\\-11<-8 \ (true)[/tex]

So, this ordered pair is solution of inequality as it satisfies the inequality.

So, Option B,C and E are solution to given inequality [tex]y - 3x < -8[/tex]

Answer:

9 inches

Step-by-step explanation:

We see all sides are the same length:

4x+3=3(2x-5)

4x+3=6x-15

18=2x

x=9

Therefore 9 inches.

Answer:

There are only two roots of a quadratic.

Step-by-step explanation:

Not sure how Joe got three, but he did something incorrectly.

Answer:

Step-by-step explanation:

Given the height of the rocket modelled by the equation;

y=-16x^2+152x+83

The rocket reaches its maximum height when the velocity of the rocket is zero.

Since velocity is the change in displacement with respect to time;

velocity v = dy/dx

dy/dx = -32x + 152

at dy/dx = 0

-32x + 152 = 0

-32x = -152

x = -152/-32

x = 4.75s

To get maximum height reached by the ball, we will substitute x = 4.75 into the modeled function as shown;

y(4.75) = -16(4.75)^2+152(4.75)+83

y(4.75) = -361+722+83

y(4.75) = 444m

Hence the maximum height reached by the ball is 444m

9514 1404 393

Answer:

  see below

Step-by-step explanation:

Read the words down to the point where it says "graph this equation." Then, it's not a word problem anymore—it's a problem of graphing the given equation.

  c = 2t +8

The "y-intercept" is the value of "y" when t=0. It is 8. This is the cost of a pizza with 0 toppings.

The slope is the coefficient of t. It is 2. This is the increase in the cost of a pizza when 1 topping is added. The slope is the cost of a topping.

__

Be aware that the grid on this graph shows squares, but the vertical dimension of the square is $2 while the horizontal dimension is 1 topping. That is, a line with a slope of 2 will lie on the diagonal of a grid square.

_____

Additional comment

We call the point where the graph crosses the vertical axis the "y-intercept." It is called that here, even though "y" is not in the equation or on the graph anywhere. It should rightfully be called the "c-intercept", since the vertical axis shows the value of c, the cost of the pizza.

Answer: -80%

Step-by-step explanation:

((y2 - y1) / y1)*100 = your percentage change

(where y1=start value and y2=end value)

((14 - 70) / 70) * 100 = -80 %

Answer:

x=30°

Step-by-step explanation:

x +2x+3x=6x

since triangles are 180° in total. 6/180=30

so 30° is your answer.

Answer:

-15x+28y

Step-by-step explanation:

combine like terms!!

Answer:

D. -15x + 28y

Step-by-step explanation:

- 3x + 7y + 21y - 12x

Move the equation

- 3x - 12x + 7y + 21y

Combine - 3x and - 12x

- 15x + 7y + 21y

Combine 7y and 21y

-15x + 28y

Because you cannot simplify this equation any further, that is your answer

I hope that this helps! :)

9514 1404 393

Answer:

  C.  1.15x

Step-by-step explanation:

You are given the expression for the cost:

  x + 0.15x

Combining like terms, this becomes ...

  1.15x . . . . . matches choice C

Answer:

20 hours

Step-by-step explanation:

First, it would be easiest to find how long it will take to bake 1 cake. We can take 5/6 and multiply it by 100 to put it into a percentage form. Then we divide by 75 (3/4 is 75%). This gives us 1.11 hours to bake 1 cake. We then multiply 1.11 by 18 (for 18 cakes) and our final answer is 20 hours to bake 18 cakes.

Answer:

selling treasury securities

Step-by-step explanation:

Answer:

B. Selling treasury securities

Step-by-step explanation:

Just took it on A P E X

Answer: B. -0.5 blocks per minute

Step-by-step explanation: It goes up 2 on the x column and down 1 (-1) on the y column. So it would be -1/2 = -0.5.

Answer:

B.) -0.5 blocks per minute

Step-by-step explanation:

Equation:

Rate of Change [tex]= \frac{8 - 9}{4 - 2}[/tex]

Simplify:

Rate of Change = [tex]\frac{-1}{2}[/tex]

Simplify:

Rate of Change = [tex]-0.5[/tex]

Answer:

30, 40, 60, 70,

Step-by-step explanation:

pattern by 10

For 3=30

      4=40

       6=60

        7=10

  Calculate the slope

           50-20/5-2

             10

Answer:

2y = x - 3

Step-by-step explanation:

Parallel lines can be defined as lines that do not intersect and as a result of this, parallel lines have the same slope but different intercepts.

Given the following data;

Points (x, y) = (3, 0)

Equation is 8x - 16y = -14

To find the equation of the line?

First of all, we would have to determine the slope of the line;

y = mx + c ......equation 1

8x - 16y = -14

Rearranging the equation, we have

16y = 8x + 14

Dividing through by 16, we have;

y = 8/16(x) + 14/16

y = 1/2(x) + 7/8

Therefore, the slope, m is 1/2

*To find the intercept*

Since the line is parallel we would use, m = 1/2

Substituting the values into equation 1, we have;

y = mx + c for x = 3 and y = 0

0 = 1/2(3) + c

c = -3/2

Re-writing the equation of line;

Slope, m = 1/2

Intercept, c = -3/2

y = 1/2(x) + (-3/2)

Multiplying all through by the lowest common denominator "2"

2y = x - 3

Answer:

$112

Step by step explanation:

Answer:

156

Step-by-step explanation:

221/17=13

13*12=156

Answer:

$156

Step-by-step explanation:

221/17=x/12

221*12=17x

2652=17x

156=x

Answer:

3. C

4. D

Step-by-step explanation:

Hope this helps you so much!

Answer: $14 each shirt

Step-by-step explanation:

54 - 12 = 42 ÷ 3 = 14

Answer:

50 marbles

Step-by-step explanation: The difference between the ratio of the red and green marbles is 4 units and the number value is 20 so its safe to say that 4 units is equal to 20 and thus one unit is 5 and because of the fact that there is a total of 10 units of marbles in the box according to the ratio, just multiply 5 and 10 which you get 50.

4 units = 20

1 unit = 20÷4 = 5

Total = 10 units

10 unit = 5 ×10 = 50

Ans : 50 marbles

Answer:

5/10 which is equal to 1/2 as the slope of this graph

Step-by-step explanation:

Answer:

slope = 1

Step-by-step explanation:

To find slope, use the formula [tex]\frac{rise}{run}[/tex]

You rise 2 and run 2. [tex]\frac{2}{2}[/tex] is equal to 1. The slope is 1. Hope this helps!

Answer:

The slope would be 3

Step-by-step explanation:

Lmk if you need an explanation

Answer: C

Step-by-step explanation:

The x-intercept is found when y=0, and the y-intercept is found when x=0.  If y=0, then we have:

2x=24

x=12

Therefore, the x-intercept is 12, so the full coordinates are (12, 0).  Note that the only option with this x-intercept is C, so C is the correct answer.

You can find the y-intercept similarly.  If x is zero, then:

-6y=24

y=-4

Therefore, (0, -4) is the y-intercept.  

Answer: They used 4 cases of caesar .

Step-by-step explanation:

Given: The ratio of ranch dressing used to Caesar dressing used is 6 : 1.

Let number of ranch dressing  = 6x

Number of Caesar dressing = x

As per given, [tex]6x=24[/tex]

[tex]\Rightarrow\ x=\dfrac{24}{6}=4[/tex], which is the number of caser cases.

Hence, they used 4 cases of caesar .

Answer:

The answer is A. I just took the quiz and the answer choices are the same. Question 2 is A as well.

Step-by-step explanation:

The balloon rises quickly to a certain height, levels off for a while, then gradually returns to the ground. Then the correct option is A.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The graph represents the height of the balloon with respect to time.

The positive slope represents the rise of the balloon and the negative represents the downfall of the balloon.

The balloon rises quickly to a certain height, levels off for a while, then gradually returns to the ground. Then the correct option is A.

More about the Algebra link is given below.

https://brainly.com/question/953809

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Answer:

y = -3/5x + c

Step-by-step explanation:

Re-arrange the initial equation so that the it becomes y =

To do this, you +3y on both sides to get 5x = 3y + 12

And then -12 on both sides to get 5x - 12 = 3y

Divide everything by 3 so you get 5/3x - 4 = y OR y = 5/3x - 4

The gradient of the initial equation is 5/3, to find the perpendicular line, you need the negative reciprocal of it, which is -3/5

Therefore your perpendicular line should be y = -3/5x + c

Because you didn't specify on what point they intersect, i can't find c for you.

Answer:

38 miles in 30 minutes

Step-by-step explanation:

To answer the question, we first want to find a common multiple of both numbers. The nearest is 60. Multiply each minute number to get to 60, multiply their other number by the same amount.

So, the first rate will travel 66 miles in 60 minutes while the second rate will travel 76 miles in 60 minutes. Therefore, the answer is the second option, 38 miles in 30 minutes.

Hope this helps! Let me know.

The greater rate is, ''38 miles in 30 minutes.''

The ratio is a numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.

We have two rates:

22 miles in 20 minutes,

and 38 miles in 30 minutes.

The ratio of rate:

22/20 = 1.1

38/30 = 1.27

Therefore, the rate = 38 miles in 30 minutes is greater.

To learn more about the ratio;

https://brainly.com/question/13419413

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