HURRY FIRST GETS BRAINLLEST A dartboard has 20 equally divided wedges, and you are awarded the number of points in the section your dart lands in. If you are equally likely to land in any wedge, what is the probability you will score more than 5 points?

HURRY FIRST GETS BRAINLLEST A Dartboard Has 20 Equally Divided Wedges, And You Are Awarded The Number

Answers

Answer 1

There are 14 sections with a score higher than 5. And there 20 in total. The probability is:

[tex]P(A) = \dfrac{\#A}{\Omega}\\\\\\P(A) = \dfrac{14}{20}\\\\\\P(A) = \dfrac{7}{10}\\\\\\P(A)= 70\%[/tex]

Answer 2

Answer:

1/4

Step-by-step explanation:

because there is 20 wedges and 5 wedges have less than 5 points.

so 5/20 = 1/4


Related Questions

Describe how to transform the graph of f(x) = x² to obtain
the graph of the related function g(x) = f(–4x – 3)) + 1.
Then draw the graph of g(x).

Answers

Answer:

The functions given are:

f(x) = x²

g(x) = f(-4x-3) + 1

First, find f(-4x-3):

f(x) = x²

f(-4x-3) = (-4x-3)²

Find g(x):

g(x) = f(-4x-3) + 1

g(x) = (-4x-3)² + 1

g(x) = (-1)² (4x+3)² + 1

g(x) = (4x+3)² + 1

First take

y = (x)²

Compress the graph along x axis by multiplying x with 4

y = (4x)²

Shift the graph left by 0.75 units, by adding 3 to x term.

y = (4x+3)²

Shift the graph up by 1 unit by adding 1 to the total terms.

y = (4x+3)² +1

Select a composite number to break into factors. continue factoring until all factors are prime

Answers

Answer:

2*2*3*3*5

Step-by-step explanation:

180 = 18*10

18 and 10 are both composite

       = 6*3    * 5*2

3,5,2 are prime but 6 is composite

     = 3*2  * 3 * 5 * 2

     All the factors are prime

Listing in order

2*2*3*3*5

Find two consecutive odd whole numbers whose sum is two less than six times the first number.

Answers

Answer:

1, 3

Step-by-step explanation:

1st number = x

2nd number = x+2

x+x+2=6x-2

2x+2=6x-2

4=4x

x=1

so the first number is 1 and the second number is 3.

CHECK: The sum of one and three is four, which is two less than six times one.

Odd numbers by definition are 2k + 1

Consecutive odd numbers will be
2k + 1 and 2k + 3

Formulating the equation from the question

(2k + 1 + 2k + 3) = 6(2k+1) -2

4K + 4 = 12k + 6 -2
4= 8k + 4
K = 0

Therefore first odd number is 2k + 1 = (2 x 0) + 1 = 1

Second odd number is 2k + 3 = (2 x 0) + 3 = 3

The two numbers are 1 and 3

Pls Answer this question

Answers

Answer:

f(3) = 1

Step-by-step explanation:

We have been given:

f(1) = 25

f(n) = f(n-1) · (-1/5)

Find f(2) by substituting n=2 in the given equation:

f(n) = f(n-1) · (-1/5)

f(2) = f(2-1) · (-1/5)

f(2) = f(1) · (-1/5)

where f(1) given in the question is 25, substitute it in the equation

f(2) = 25 · (-1/5)

f(2) = -5

Find f(3) by substituting n=3 in the given equation

f(n) = f(n-1) · (-1/5)

f(3) = f(3-1) · (-1/5)

f(3) = f(2) · (-1/5)

where f(2) found in the previous step was -5, substitute it in the equation.

f(3) = -5 · (-1/5)

f(3) = 1

In the scale used on a blueprint, 14 inch represents 3 feet. On the blueprint, what is the length of a room with an actual length of 24 feet? 1. 3/4 in 2. 2 in 3. 6 in 4. 8 in

Answers

Answer: 2in

Step-by-step explanation:

Hi, to answer this question we have to apply proportions:

The correct scale on the blueprint is : 1/4 inch represents 3 feet.

So, the proportion is: 1/4 inch/ 3 feet = (1/4) /3

For 24 feet:

x inches /24 feet = x/24

So:

(1/4)/3 = x/24

Solving for x (inches)

[(1/4)/3 ] (24) =x

x =2 inches

Feel free to ask for more if needed or if you did not understand something.

Please help! Will mark as brainliest!

Answers

Answer:

[tex]y = -\frac{2}{5} x - 11[/tex]

Step-by-step explanation:

So we are given the two coordinate points (-10 , -7) and (-5 , -9).

With the question to "Complete the equation of the line."

So what we do is to compute the slope of both coordinates, which will give us

[tex]-\frac{2}{5}[/tex]

So to complete part of the equation:

[tex]y = -\frac{2}{5} x[/tex]

Now we need to compute the y intercept, since all numbers are negative, there is likely chance [tex]b[/tex] will be a subtraction method.

Compute the y intercept:

[tex]-11[/tex]

Complete the equation :

[tex]y = -\frac{2}{5} x - 11[/tex]

Here is a graph to go with the equation :

Somebody please prove if a triangle with side length of 6,8,10 is a right triangle using the Pythagorean theorem!! Will mark Brainliest

Answers

Answer:
Pythagorean’s theorem states that if a^2 + b^2 = c^2 where c is the hypotenuse and a and b are the side lengths of the right triangle

Given that we can plug in
a= 6 , b = 8 , c = 10

We get an equation:

6^2 + 8^2 = 10^2
36 + 64 = 100
100 = 100

Multiple (2x+1)(x-5)

Answers

Answer:

2x² - 9x - 5

Step-by-step explanation:

Step 1: FOIL

2x² - 10x + x - 5

Step 2: Combine like terms

2x² - 9x - 5

Answer:

2x^2−9x−5

Step-by-step explanation:

(2x+1)(x−5)

=(2x+1)(x+−5)

=(2x)(x)+(2x)(−5)+(1)(x)+(1)(−5)

=2x^2−10x+x−5

=2x^2−9x−5

What is the volume of the cone? ANSWERS: A) 4,258.44 yd3 B) 2,787.64 yd3 C) 2,876.7 yd3 D) 4,625.36 yd3

Answers

the volume of the cone is b. 2787.64

PLSSS HELPPPP!!! Find all real zeros and complexof each equation f(x)=(x^2+4)(x^2-9)

Answers

Answer:

x = ± 3, x = ± 2i

Step-by-step explanation:

Given

f(x) = (x² + 4)(x² - 9)

To find the zeros let f(x) = 0, that is

(x² + 4)(x² - 9) = 0

Equate each factor to zero and solve for x

x² - 9 = 0 ( add 9 to both sides )

x² = 9 ( take the square root of both sides )

x = ± [tex]\sqrt{9}[/tex] = ± 3

x² + 4 = 0 ( subtract 4 from both sides )

x² = - 4 ( take the square root of both sides )

x = ± [tex]\sqrt{-4}[/tex] = ± [tex]\sqrt{4(-1)}[/tex] = ± [tex]\sqrt{4}[/tex] ×[tex]\sqrt{-1}[/tex] = ± 2i

Thus zeros are

x = - 3, x = 3 ← real

x = - 2i, x = 2i ← complex

35 POINTS The students in a high school are being randomly split into focus and accountability groups. Each group contains four students, selected regardless of gender or grade level. You conduct a simulation using colored discs in a bag: red, blue, green, and yellow. You decide that red (r) represents the freshmen, blue (b) represents the sophomores, green (g) represents the juniors, and yellow (y) represents the seniors. Next, you randomly select one disc from the bag, record the color, and put the disc bag in the bag. You do the same thing three more times to represent one group. Then, you complete this entire process twenty-five times, as shown below. y, g, y, b g, g, g, r r, g, b, g b, b, b, y r, r, y, g b, r, g, g y, r, r, g y, y, g, r b, g, b, b y, r, g, r y, g, g, y b, y, y, b y, g, b, r g, b, y, g b, g, y, g y, b, y, y b, r, y, y g, y, y, y g, r, y, r g, y, b, b r, g, r, r b, r, y, g b, b, b, b y, b, r, y y, y, y, y Based on the results of the simulation, the experimental probability of a group having four students from the same grade level is __% Based on the results of the simulation, if 224 groups are formed, about how many of them would you expect to contain one student from each grade level? Round your answer to the nearest number of groups.

Answers

Answer:

1) The correct answer is 8%

2) The correct answer is 18 groups

3) The correct answer is b. 23 groups

Step-by-step explanation:

2/25 × 100 = 8%

Each group: 2/25

2/25 × 224 = 17.92

At least 2 freshmen: 5

5/25 × 115 = 23

Hope this helped! :)

Answer:

Bro pls give first guy brainliest he answered 3 questions jeez

Step-by-step explanation:


Answer for all please

Answers

Answer:

a)

mean of the Standard normal distribution is μ = 0

Standard deviation of the Standard normal distribution σ = 1

b) P( Z < 1.96) = 0.9744

c)

P( - 0.41 < Z) = 0.6591

d) h = 0.3

Step-by-step explanation:

Step(i):-

a)

Given X be a continuous random variable in Normal distribution

The Normal distribution for μ = 0 and σ = 1 is known as Standard normal distribution

mean of the Standard normal distribution is μ = 0

Standard deviation of the Standard normal distribution σ = 1

b)

P( Z < 1.96) = 0.5 + A(1.96)

                  = 0.5 + 0.4744

                  = 0.9744

P( Z < 1.96) = 0.9744

c)

P( - 0.41 < Z) = P(Z > -0.41)

                    = 0.5 +A(-0.41)   (∵ A(-0.41) = A(0.41)

                    = 0.5 + 0.1591

                    = 0.6591

P( - 0.41 < Z) = 0.6591

d)i)  If  h >0

      P( z < h) = 0.20

 ⇒  0.5 +A(z) = 0.20

 ⇒      A(Z) = 0.20 - 0.5

⇒      A(Z) = - 0.3

          h = -0.3

if h < 0

   P( z < h) = 0.20

 ⇒  0.5 -A(z) = 0.20

 ⇒      A(Z) =0.5 - 0.2

⇒      A(Z) =  0.3

          h = 0.3

Choose three non-collinear points on the coordinate plane, making sure none of your points is the origin. On a sheet of paper, graph the three points and draw line segments to connect the points and make a triangle. Label the vertices of the triangle A, B, and C. Now describe the new coordinates of points A, B, and C after the following transformations: Translation of point A around the origin 90° rotation around point B Reflection of the triangle across the x-axis

Answers

Answer:

I chose the next points:

A(1, 1)

B(2, 3)

C(3,2)

In the picture attached, the triangle is shown.

Translation of point A to the origin

The new triangle is:

A'(0, 0)

B(2, 3)

C(3,2)

90° rotation around point B

90°counter-clockwise rotation about the origin transforms (x, y) into (-y, x)

90°counter-clockwise rotation around a point  (2,3) is doing as follows: subtract the point, rotate around origin, add the point back:

A(1,1) → (-1, -2) → (2, -1) → A'(4, 2)

C(3,2) → (1, -1) → (1, 1) → C'(3,4)

The new triangle is:

A'(4, 2)

B(2, 3)

C'(3,4)

Reflection of the triangle across the x-axis

Reflection across x-axis transforms (x, y) into (x, -y). Then:

A(1, 1) → A'(1, -1)

B(2, 3) → B'(2, -3)

C(3,2) → C'(3,-2)

Compare the probability of winning when playing regular defense to the probability of winning when playing prevents defense.

Answers

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Which of the given points would be on a graph of the function below.

f(x)=a(b)^x+c

A. (0, b+c)
B. (0, b)
C. (0, a+c)
D. (0, c)​

Answers

Answer:

c

Step-by-step explanation:

if you substitute 0 into the original equation you get the point 0, a+c

I’m pretty sure it’s C. I hope this helps;)

which choice is equivalent to the expression below?

Answers

There is no picture or expression

Helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

1/2n-7

(0×3)+4

(p×5)-2

7+r

s+7

10-t

u-10

2×v

w×2

x÷5

5÷y

Step-by-step explanation:

━━━━━━━☆☆━━━━━━━

▹ Answer

14) 1/2n - 7

15) 3o + 4

16) 5p - 2

17) 7 + r

18) s + 7

19) t - 10

20) 10 - u

21) 2v

22) 2w

23) x ÷ 5

24) 5 ÷ y

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

According to Euclidean geometry, a plane contains at least points that on the same line

Answers

Answer:

three, do not lie

Step-by-step explanation:

Edmentum/Plato

The two pyramids are similar. Find the volume of the smaller pyramid. Round your answer to the nearest hundredth.
A. 5.12 mm³
B. 6.66 mm³
c. 7. 14 mm³
D. 8.07 mm³​

Answers

Answer:

A) 5.12mm³

Step-by-step explanation:

Step 1

Find the volume of the bigger pyramid

This is a triangular based pyramid.

The formula to use is given as Volume of Pyramid =

1/3 × Area of the triangle × Height

Area of the triangle = 1/2 × 3 mm × 4mm = 6mm²

Volume of the large pyramid = 1/3 × 6mm² × 5mm

= 10mm³

We are given the length of the small pyramid as 4mm

We would be using was is known as scale factor to find the volume of the small pyramid

The scale factor k = (Height of the small pyramid)³/ (Height of the Large pyramid)³

k = 4³/5³

k = Volume of small pyramid/ Volume of large pyramid

Volume of small pyramid = X

Volume of large pyramid = 10mm³

Hence,

4³/5³ = X/10

Cross Multiply

= 4³ × 10 = 5³ × X

X = (4³ × 10)/ 5³

X = 5.12mm³

Three numbers add up to 147. The smallest number is half the middle number, which is half the
largest number. What are the three numbers? Show evidence

Answers

Answer:

x=21

y=42

z=84

Step-by-step explanation:

let the smallest number be x middle number be y and largest number be z

then according to question

y=z/2,

x=y/2

then x=z/4

also

x+y+z = 147

z/4 + z/2 + z=147

7z=588

z=84

therefore

x=21

y=42

z=84

The three numbers are 21, 42 and 84.

Given that, three numbers add up to 147.

What is an equation?

An equation is a mathematical statement that two expressions are equal. The solution of an equation is the value that when substituted for the variable makes the equation a true statement

Let the smallest number be x, the middle number be y and the largest number be z.

The smallest number is half the middle number, which is x=y/2.

The middle number is half the largest number, which is y=z/2.

z=2y

Now, x+y+z=147

y/2+y+2y=147

⇒y+2y+4y=194

⇒7y=294

y=42

Then, x=42/2=21 and z=2×42=84

Verification:21+42+84=147.

Therefore, the three numbers are 21, 42 and 84.

To learn more about the numbers visit:

https://brainly.com/question/17429689.

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Since the ratios all come out to be the same, that means the triangle are


A) Congruent

B) similar

Answers

Answer:

similar.........hope its helpful

I think similar is the correct answer

f(x) = x2. What is g(x)?

Answers

Answer:

C. g(x) = 1/4x²

Step-by-step explanation:

g(2) = 1/4 × (2)²

g(2) = 1/4 × 4

g(2) = 1

It matches the point (2,1) on the graph.

Hope this helps. :)

Answer:

C

Step-by-step explanation:

Complete the equation...

Answers

Answer:

x^2 -14x +49

( x-7)^2

Step-by-step explanation:

x^2 -14x

We are completing the square

Take the coefficient of x

-14

Divide by 2

-14/2 = -7

Square it

(-7)^2 = 49

Add it

x^2 -14x +49

Take the -7

( x-7)^2

Answer:

D.

Step-by-step explanation:

x^2-14x+49=(x-7)^2

Mark is going to an awards dinner and wants to dress appropriately. He is running behind schedule and asks his little brother to randomly select an outfit for him.
Mark has one blue dress shirt, one white dress shirt, one black dress shirt, one pair of black slacks, one pair of grey slacks, and one red tie. All six of his possible outfits are listed below.
Let
A
AA be the event that Mark's little brother selects an outfit with a white shirt and grey slacks and
B
BB be the event that he selects an outfit with a black shirt.

Answers

The probability that Mark's little brother selects an outfit with a white shirt and gray slacks or an outfit with a black shirt will be [tex]\frac{1}{2}[/tex].

How to calculate the probability of an event?

Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.

Then, suppose we want to find the probability of an event E.

Then, its probability is given as

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]

Where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.

The probability of the white shirt and the gray slack is;

[tex]\rm P(A) = \frac{1}{6}[/tex]

The probability of the outfit with the black shirt is;

[tex]\rm P(B) = \frac{F(S)}{T(S)} \\\\ \rm P(B) = \frac{5,6}{1,2,3,4,5,6)} \\\\ \rm P(B) ==\frac{2}{6} \\\\ P(B) = \frac{1}{3}[/tex]

The probability that the no favorable outfit with the white shirt and black is;

P(A∩B)=0

The probability that Mark's little brother selects an outfit with a white shirt and gray slacks or an outfit with a black shirt is found by the formula;

P(A or B)= p(A∪B)=P(A)+P(B)-P(A∩B)

P(A∪B)=P(A)+P(B)-P(A∩B)

[tex]\rm P(A \ U \ B)= \frac{1}{6}+\frac{2}{6} -0 \\\\\ P(A \ U \ B)=\frac{1}{2}[/tex]

Hence, the probability that Mark's little brother selects an outfit with a white shirt and gray slacks or an outfit with a black shirt will be [tex]\frac{1}{2}[/tex].

To learn more about the probability, refer to the link;

brainly.com/question/1210781

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The probability that Mark's little brother selects an outfit with a white shirt and grey slacks or an outfit with a black shirt is 1/3.

We have to given that,

Mark is going to an awards dinner and wants to dress appropriately.

And, Mark has one blue dress shirt, one white dress shirt, one black dress shirt, one pair of black slacks, one pair of grey slacks, and one red tie.

Since, There are six possible outfits, and we want to find the probability that Mark's little brother selects an outfit with a white shirt and grey slacks or an outfit with a black shirt.

We can use the addition rule of probability:

P(A or B) = P(A) + P(B) - P(A and B)

where P(A) is the probability of selecting an outfit with a white shirt and grey slacks,

P(B) is the probability of selecting an outfit with a black shirt, and

P(A and B) is the probability of selecting an outfit with both a white shirt and grey slacks, and a black shirt.

From the six possible outfits, there is one outfit with a white shirt and grey slacks, and one outfit with a black shirt, so:

P(A) = 1/6

P(B) = 1/6

There is no outfit that satisfies both events A and B, so:

P(A and B) = 0

Therefore:

P(A or B) = P(A) + P(B) - P(A and B)

              = 1/6 + 1/6 - 0

              = 1/3

So, the probability that Mark's little brother selects an outfit with a white shirt and grey slacks or an outfit with a black shirt is 1/3.

Learn more about the probability visit:

https://brainly.com/question/13604758

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Complete question is,

Mark is going to an awards dinner and wants to dress appropriately. He is running behind schedule and asks his little brother to randomly select an outfit for him.

Mark has one blue dress shirt, one white dress shirt, one black dress shirt, one pair of black slacks, one pair of grey slacks, and one red tie. All six of his possible outfits are listed below.

Let A be the event that Mark's little brother selects an outfit with a white shirt and grey slacks and B be the event that he selects an outfit with a black shirt.

What is P (A or B) , P, left parenthesis, A, start text, space, o, r, space, end text, B, right parenthesis, the probability that Mark's little brother selects an outfit with a white shirt and grey slacks or an outfit with a black shirt?

if I have 2 weeks to finish 49 questions how many should I do each week?

Answers

Answer:

about 24 or 25 each week which would be about 3 or 4 each day

HELP ME PLEASE!!! ASAP!!!!!! What was the average speed of this journey?​

Answers

It is the last one 2.55m/s

Answer:

B

Step-by-step explanation:

Take total displacement and divide by the time it took.

Divide(or reduce) your answer if necessary 12 and 1/4 divide by 1/8

Answers

Answer:

98

Step-by-step explanation:

First to do this you must turn 12 and 1/4 into an improper fraction. 12 and 1/4 as an improper fraction is 49/4, as their are 49 1/4s in 12 and 1/4.

Now to divide 49/4 by 1/8, you keep 49/4, turn the division sign into a multiplication sign, and turn 1/8 into 8/1 (flip numerator and denominator)

This turns 49/4÷1/8 into 49/4×8/1. Now to multiply you get 49 × 8 as the numerator and 4 × 1 as the denominator. This ends up being 392/4. You then can simplify by dividing both numbers by 4, and get 98/1 or 98.

Answer: 98

Step-by-step explanation: To divide 12 and 1/4 by 1/8, first write 12 and 1/4 as the improper fraction 49/4.

So we have 49/4 ÷ 1/8.

Now, since dividing by a fraction means the same thing as multiplying by the reciprocal of the fraction, we can rewrite 49/4 ÷ 1/8 as 49/4 × 8/1.

Before multiplying however, always try to cross-cancel.

In this problem, the 4 and 8 cross-cancel to 1 and 2.

So we have 49/1 × 2/1 which is 98/1 or 98.

Find the measures of the supplementary angles that satisfy each case. m∠1:m∠2=5:4

Answers

Answer:

100 and 80 degrees

Step-by-step explanation:

Supplementary angles add up to 180 degrees.  Here we are to find two such angles that are in the ratio 5:4.  To do this, we set up and solve the following equation:

5x + 4x = 180, or

9x = 180, or

x = 20.

Then one angle is 5(20) and the other is 4(20), or 100 and 80.

Note that these two angles add up to 180 degrees, as they must.

The two supplementary angles are 100 and 80 degrees.

Answer:

I apologize for the confusion caused. Let's go through the problem again to determine the correct answer.

We have a police helicopter flying at 120 mph at an altitude of 1.5 miles above a highway. The radar detects an oncoming car at a distance of exactly 3 miles from the helicopter, and this distance is decreasing at a rate of 190 mph.

To find the speed of the car, we need to consider the relative motion between the car and the helicopter. From the perspective of the helicopter, the car's speed is the sum of its own speed and the rate at which the distance is decreasing.

Let's denote the speed of the car as "v_car" and the speed of the helicopter as "v_helicopter." The relative speed between the car and the helicopter is the difference between the two speeds, given by:

Relative speed = v_car - v_helicopter

Since the distance between the car and the helicopter is decreasing at a rate of 190 mph, the relative speed is -190 mph (negative because the car is approaching the helicopter).

However, since we want to find the speed of the car, we need to consider the magnitude of the relative speed. Taking the absolute value, we have:

|Relative speed| = |v_car - v_helicopter| = |-190|

Now, let's solve for the speed of the car:

|v_car - 120| = 190

We can solve this equation by considering two cases:

Case 1: v_car - 120 = 190

v_car = 190 + 120

v_car = 310 mph

Case 2: -(v_car - 120) = 190

-v_car + 120 = 190

v_car = 120 - 190

v_car = -70 mph

Since speed cannot be negative, we discard Case 2.

Therefore, the correct answer is that the speed of the car, as detected by the radar, is 310 mph.

THIS QUESTION ANSWER

Let's assume that the measure of angle 1 is represented by "x" and the measure of angle 2 is represented by "y". We are given that the ratio of the measures of angle 1 to angle 2 is 5:4. This can be expressed as:

x:y = 5:4

Since the angles are supplementary, the sum of their measures is 180 degrees:

x + y = 180

To solve this system of equations, we can use the ratio given to express one variable in terms of the other. Let's express "x" in terms of "y":

x = (5/4) * y

Substituting this expression for "x" into the second equation:

(5/4) * y + y = 180

Multiplying through by 4 to eliminate the fraction:

5y + 4y = 720

9y = 720

Dividing both sides by 9:

y = 80

Substituting the value of "y" back into the expression for "x":

x = (5/4) * 80

x = 100

Therefore, the measures of the supplementary angles that satisfy the given ratio are angle 1 with a measure of 100 degrees and angle 2 with a measure of 80 degrees.

I am very sorry maybe I did mistake in the previous questions answer so this is the revised ONE and sO please DO SEE once okay !!!

450 yards in 15 minutes?

Answers

Answer:

30 yards per minute.

Step-by-step explanation:

Unit rate is basically when the denominator is 1. In this case, 450 is divisible by 15, so if you divide that, you get 30.

30 yards per min


450 is divided by 15 so if you divide that your gonna get 30.

Chet has some 23 cent, 32 cent and 37 cent stamps. Their total value is $9.90. There are twice as many 32s as 23s, and five more 37s than there are 32s. How many stamps does Chet have ? Total # of stamps:___________

Answers

Answer:

5 of 23 cents

10 of 32 cents

15 of 37 cents

In total that is 30 stamps.

Step-by-step explanation:

This is going to be long, so bear with me.

0.23x  + 0.32y +0.37z = 9.90

Here we define our variables.

Because we know that there is twice as much 32 cent stamps compared to 23 cents, we know: y =2x

So we can change that in the equation.

0.23x + 0.32(2x) + 0.37z = 9.90

0.23x + 0.64x + 0.37z = 9.90

We also know that there are 5 more 37 cent stamps than 32 cents.

So we can change all instances of z to 2x+5

0.23x + 0.64x + 0.37z(2x+5) = 9.90

0.23x +0.64x +0.74x +1.85 =9.90

Algebra:

0.23x +0.64x +0.74x = 9.90 -1.85

1.61x = 8.05

x = 5

From here we can just substitute it out and we find our values.

x = 5

y = 5 * 2

z = (5*2) +5

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