When Deema begins her drive, she is 400 mi from home. She drives at an average rate of 50 mph until she gets home. Draw a graph to represent this situation?

Answer:

1/60

Step-by-step explanation:

50+30+40=120 (take all the students and add them together.)

2/120 (you only want 2 seventh graders)

simplified is 1/60

The probability that Quincy draws two-seventh-grade students is  0.061, or 6.1%.

It is a branch of mathematics that deals with the occurrence of a random event.

There are a total of 50 + 30 + 40 = 120 students who bought tickets for the raffle.

Quincy draws two names without replacement, which means that the total number of possible outcomes is given by the combination formula.

Total number of outcomes = C(120, 2) = 7,140

Now, we need to find the number of outcomes in which Quincy draws two-seventh-grade students.

Let us calculate the number of ways in which Quincy can choose 2 students from the 30 seventh-grade students

Number of ways to choose 2 seventh-grade students = C(30, 2) = 435

Therefore, the probability of Quincy drawing two-seventh-grade students is:

Probability = Number of desired outcomes / Total number of outcomes

Probability = C(30, 2) / C(120, 2)

Probability = 435 / 7,140

Probability ≈ 0.061

Hence,  the probability that Quincy draws two-seventh-grade students is  0.061, or 6.1%.

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Answer:

In point form:

( -1 , 1 )

In equation form:

x  =  − 1  , y  =  1

Answer:

30 min

Step-by-step explanation:

1500/50=30

Answer:

30 minutes

Step-by-step explanation:

1500 words/50 words per minute = 30 minutes

Answer:

-(1/5)

Step-by-step explanation:

Well slope is basically

(y2-y1) / (x2-X1)

Subsitute in those numbers and solve, you’d get -(1/5)

Answer:

150 -160

Step-by-step explanation:

I not amazing at this but i do know this is kinda hard. sorry if it is wrong

.Step-by-step explanation:

Answer:

(10, 5)

Step-by-step explanation:

The circle is located at (10, 5)

Answer:

A and D would be the correct answers

Step-by-step explanation:

Answer:

396 in.^2

Step-by-step explanation:

The cushion is shaped like a cylinder with 14 inch diameter and 2 inch height.

We need to find the surface area of the cylinder.

diameter = 14 in.

radius = diameter/2 = 7 in.

height = 2 in.

A = 2(pi)r^2 + 2(pi)rh

A = 2(3.14159)(7 in.)^2 + 2(3.14159)(7 in.)(2 in.)

A = 395.84 in.^2

A = 396 in.^2

The amount of fabric that Maggie will need for manufacturing the cushion is 395.84 sq. inches.

Supposing that a considered cylinder has radius of 'r' units and height 'h' units, then the surface area of that cylinder would be:

[tex]S = \pi r^2 + \pi r^2 + 2\pi r h = 2\pi r(r + h) \: \rm unit^2[/tex]

The table's diameter is of 14 inches. That means, its radius is of 14/2 = 7 inches.

The cushion is going to have 2 inches extra from all sides, so approximately, it is going to be like a cylinder with radius 7 inches and height 2 inches.

The fabric needed for making cushion (from outer side only) in terms of area is same as the surface area of cylinder with radius of 7 inches and height of 2 inches.

Thus, the amount of fabric that Maggie will need for manufacturing the cushion is [tex]S = 2\pi r(r + h) = 2\pi \times 7(7 + 2) \approx 395.84 \: \rm in^2[/tex]

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Answer:

(35 * 3)

Step-by-step explanation:

Given the box with dimension : 3ft * 7ft * 5ft

The volume of the box is :

Length * width * height

(3feets * 7 feets * 5 feets) = 3 * 7 * 5 = 105 feet³

From the options given, the expression which could be used to correctly find the volume would be :

(7 * 5) * 3 = 35 * 3 = 105 ft³

Answer:

The numbers can be written as x and x + 1. Set the product of the numbers equal to 1,332 to get x(x + 1) = 1,332. You can solve the quadratic equation by using the quadratic formula, completing the square, or factoring. When you solve the quadratic equation, you find that x = –37 and 36. Since the question asked for positive integers, the only viable solution is x = 36. To solve for the larger integer, you add 1 to 36 to get an answer of 37.

Step-by-step explanation:

sample response

The first consecutive number is 36 and the second consecutive number is 37.

Numbers that follow each other continuously in the order from smallest to largest are called consecutive numbers.

Let the first consecutive number be x and the second consecutive number be (x+1).

The product of two consecutive positive integers is 1,332.

[tex]\rm x\times (x+1)=1332\\\\x^2+x=1332\\\\x^2+x-1332=0\\\\x^2+37x-36x-1332=0\\\\x(x+37)-36(x+37x)=0\\\\(x+37)(x-36)=0\\\\x+37=0, \ x=-37\\\\x-36=0, \ x=36[/tex]

(Ignoring the negative value of x).

The first consecutive number = x = 36

The second consecutive number = x+1 = 36 + 1 = 37

Hence, the first consecutive number is 36 and the second consecutive number is 37.

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Answer: A solid 4% chance of picking a yellow

brainliest plz

Step-by-step explanation: We first should combine 300 and 75 because those are the total values of the candies in the bag. After, we should divide the different candies by the total amount of them getting the numbers .8 for red and .2 for yellow. Since the question is that the yellow occurs but not the red and you can miss the bag you would want to calculate what the probability would be to have B happen but not A. The equation for that is:

(1 - P(A)) × P(B)  

where P(A)=.8 and P(B)=.2

plugging in all things it would be

(1-.8)*.2

which equals .04 or 4%

Answer:

yes

Step-by-step explanation:

good

Answer:

Step-by-step explanation:

3. The sale price is $37.50 and the discount is $12.50 off.

You can get this by doing 25/100 = x/50 and solving the equation to find the discount and then use the discount and subtract it from the total

4. The Forever 21 dress is less because if you use the equation that we used for question 3 you can find the discount of both and then use the discount and subtract from the total.

Hope that helps!

Answer: 56

Step-by-step explanation:

Let the number of $5 be x

Let the number of $2 be y.

Based on the information given, we can form an equation as:

x + y = 128 ........ i

5x + 2y = 424 ....... ii

Multiply equation i by 2

Multiply equation ii by 1

2x + 2y = 256 ...... iii

5x + 2y = 424 ....... iv

Subtract iii from iv

3x = 168

x = 168/3

x = 56.

Therefore, there were 56 $5 bills.

Answer:

144

Step-by-step explanation:

Sum of interior angles:

180(n-2)

180(10-2)  

1440

Measure of each interior angle:

1440/10=144

x < 9

_

Step-by-step explanation:

I am not sure if this is correct. but i think the answer is x with closed circle so that will mean underlined.

Answer:

4,700

Step-by-step explanation:

4 is not big enough to round the 7 up to a 8

Answer: there are no like terms

I'm not sure if you have the wrong equation but there are no like terms

Answer:

1017.36cm^3

Step-by-step explanation:

9^2pi*4=1017.36

Answer:

a = 6.7

Step-by-step explanation:

a² + b² = c²

a² + 6² = 9²

a² + 36 = 81

a² = 45

[tex]\sqrt{a^2} =\sqrt{45}[/tex]

a = 6.7

Answer:

56

Step-by-step explanation:

There are two ways the answer to this question can be determined

Method 1 : the fast method

We know that 8 is twice 4

4 x 2 = 8

The ratio of diet soda = 8

the ratio of regular sodas = 4

Diet sodas = 112

the number of regular sodas = 112 / 2 = 56

Method 2 : The long method

I would first determine the total number of diet and regular sodas. Let the total number be represented by d

from the question, the following equation can be derived :

(8/12) x d = 112

divide both sides of the equation by 12/8 to determine the value of d

d = 112 x (12/8) = 168

We can now derive a value for the number of regular soda

regular sodas = ( ratio of regular sodas / total soda) x total number of sodas

(4/12) x 168 = 56

Answer:

B) 18

Step-by-step explanation:

6 out of 18 is 6/18 = 1/3

1/3 x 54 = 18

Answer:

C

Step-by-step explanation:

IQR means interquartile range.

first, lets organize the numbers in ascending form.

21, 23, 25, 29, 30, 31, 33, 34

the median, or the middle number is between 29 and 30.

we need to use the method Q3-Q1

find the median of the two halves.

Q3 is 32 (between 31 and 33) and Q2 is 24 (between 23 and 25)

32 - 24 = 8

the answer is 8

Answer:

mABC = 110

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

quadratic equation is ax²+bx+c=0

Products of roots is c/a

Sum of roots is -b/a

On comparing the above equation with general equation we have

a=1

b=-(3k)

c=-(k+2)

Now it is given that sum of roots and product of roots is equal

So,

-b/a=c/a

-b=c

-[-(3k)]=-(k+2)

3k=-k-2

3k+k=-2

4k=-2

k=-1/2

Step-by-step explanation:

D.. all points on blue are translated 7 units downwards