Three runners are running a relay race. The first runner runs 3 2/3 miles , the second runner runs
2 2/3miles, and the last runner runs 1 1/6 miles.
How many miles was the whole race?

Answer:

8/6

Step-by-step explanation:

That is because 8 and 6 are double than that of 4 and 3 so it is an equavalent equation.

Answer:

8/6

Step-by-step explanation:

Multiply the numerator and denominator by 2! :)

Answer:

525; $68.25

Step-by-step explanation:

21+.09x=.13x

x=525

21+.09(525)=68.25

.13(525)=68.25

The answers are :

A) The amount of calling for which the two plans cost the same will be 525 minutes.

B) The cost when two plans cost the same amount is $68.25.

What do you mean by algebraic expressions ?

Algebraic expression is an equation which consists of variables and the arithmetic operations such as division , multiplication , etc.

A)

Let's assume the amount of calling is x for which the two plans cost the same.

So , the algebraic expression can be written as ;

Plan A = Plan B

or

21 + (0.09 × x) = 0 + (0.13 × x)

Solving this we will get amount of calling for which the two plans cost the same as :

21 = 0.13x - 0.09x

0.04x = 21

x = 525 minutes

B)

Now , the cost when two plans cost the same amount :

Plan A = 21 + (0.09 × 525) = 21 + 47.25 = $68.25

or

Plan A = Plan B = $68.25

Therefore , the answers are :

A) The amount of calling for which the two plans cost the same will be 525 minutes.

B) The cost when two plans cost the same amount is $68.25.

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Answer:

The first piece is 5 inches long, while the second is 15 inches and the third one is 20 inches.

Step-by-step explanation:

To determine the length of the 3 pieces, knowing that the total of the board is 40 inches, and that the second measures 3 times more than the first and the third measures 4 times more than the first, the following equation must be performed:

X + 3X + 4X = 40

8X = 40

X = 40/8

X = 5

Therefore, the first piece is 5 inches long, while the second is 15 inches and the third 20 inches.

The ordered pair is in the solution set of the system of inequalities shown in the graph will be (-2, -1)

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.

The shaded portion will be conider as the dashed line joining points (-2, -2) and (3, 3).

Anf for the equation x - 1 > 0, x > 1

The shaded portion to the right of the dashed line joining points (1, 5) and (1, -3).

The portion affected by the two shadings would be the portion common to the right of the dashed line joining points (1, 5) and (1, -3) and under the dashed line joining points (-2, -2) and (3, 3).

The ordered pair is in the solution set of the system of inequalities shown in the graph will be (-2, -1)

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Answer: since I don’t understand this question I’m choosing D

Step-by-step explanation:

Answer:

lol brainliest

Step-by-step explanation:

The probability that he makes at least 3 shots is P{E} = 0.15

Given is that Zared plays basketball on his high school team. One of the things he needs to practice is his free throws. On his first shot, there is a probability of 0.6 that he will make the basket. If he makes a basket, his confidence grows and the probability he makes the next shot increases by 0.05. If he misses the shot, the probability he makes the next one decreases by 0.05.

If he takes 5 shots, than the probability that he makes at least 3 shots is-

P{E} = 5 x 0.05 - 2 x 0.05

P{E} = 0.25 - 0.1

P{E} = 0.15

Therefore, the probability that he makes at least 3 shots is P{E} = 0.15.

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a

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

I’ve done this math I know I am right!

Answer:

as explained

Step-by-step explanation:

as in the photo i've shown :

i've shown the table for you both

i've shown the graph for one only the second one hope you can complete it if you have any questions you can ask.

for first one

if x=2 replace x=2 in f(x) you will get f(2)=4

f(3)=1

f(4)=0

f(5)=1

f(6)=4

Why did I start with x=2 and not x=1 because f(1)=9 in the graph provided there is no marking for y=9 but when drawing the graph extends it (as in photo 3 not as in photo 4)(graph in photo 3 is better)

Hope you understand(you can also put(2,4) ,(3,1) and so on in the graph as in photo 5

The probability are for P(h) = 1/2, P(t) = 1/2, P(getting letter P) = 1/12, P(getting a vowel) = 1/2, P(tails then a vowel) = 1/4, P(tails then N) = 1/12, P(heads then D or I) = 1/6.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

We have a coin tossed, then a letter from the word INDIANAPOLIS is selected at random.

Probability for getting head or tell:

P(h) = 1/2

P(t) = 1/2

The word INDIANAPOLIS has 12 letters with 3I's, 2A's, 2N's, 1D's, 1P's, 1L's, 1O's, and 1S's

Probability for getting letter P:

P(getting letter P) = 1/12

P(heads, then letter P) = P(heads)×P(getting P) = (1/2)(1/12) = 1/24

P(tails) = 1/2

P(getting a vowel) = 6/12 = 1/2

P(tails then a vowel) = (1/2)(1/2) = 1/4

P(tails then N) = (1/2)(2/12) = 1/12

P(heads then D or I) = (1/2)(4/12) = 4/24 = 1/6

Thus, the probability are for P(h) = 1/2, P(t) = 1/2, P(getting letter P) = 1/12, P(getting a vowel) = 1/2, P(tails then a vowel) = 1/4, P(tails then N) = 1/12, P(heads then D or I) = 1/6.

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Answer:

99685/ 112

or

890  5/112

Step-by-step explanation:

Answer:

We conclude that:

Option D i.e. m∠DAB = m∠BCD is correct option.

Step-by-step explanation:

We know that a Parallelogram is a quadrilateral with two pairs of parallel sides.

We also know that the opposite angles of a parallelogram are equal.

Given

From the figure:

It is clear that m∠DAB is the opposite angle of m∠BCD.

Thus,

m∠DAB = m∠BCD  ∵ opposite angles of a parallelogram are equal.

Therefore, we conclude that:

Option D i.e. m∠DAB = m∠BCD is correct option.

Answer:

the answer is 9

Step-by-step explanation:

hope i helped :)

Answer:

9

Step-by-step explanation:

3 times 3 is 9

Answer:

The value of x is approximately 13.58

Step-by-step explanation:

Answer:

The answer is 50 :)

Step-by-step explanation:

Since d=8, you multiply 6 times 8 which gives you 48 then add the 2.

Answer: A

Step-by-step explanation:

Answer:

A. Reflection, rotation, translation

Step-by-step explanation:

9514 1404 393

Answer:

  A)  y = -3x +7

  B)  y = (7/3)x

Step-by-step explanation:

Maybe you want the equations of the lines.

Two points are marked on each graph. These can be used to compute the slope. One of them is the y-intercept, so that can be used in the slope-intercept equation.

A) m = (y2 -y1)/(x2 -x1) = (1 -7)/(2 -0) = -3

  b = 7

So, the equation y = mx+b is ...

  y = -3x +7

__

B) m = (7 -0)/(3 -0) = 7/3

  b = 0

The equation is ...

  y = (7/3)x

Step-by-step explanation:

[tex]x \geqslant - 5[/tex]

from the graph it's seen there's a dot on -5 so it's also considered

and since it considered -5 and greater.

[tex]x \geqslant - 5[/tex]

Step-by-step explanation:

if you can put a vertical line through it and it only touches the line once it's a function

Answer:

Step-by-step explanation:

Answer:

Commutative property

Answer:

its commutative property

Answer:

12 / 6 = $2

Step-by-step explanation:

Answer:

they each cost 2 dollors

Step-by-step explanation:

Answer:

119

Step-by-step explanation:

[tex]due \: to \: Corresponding \: angles \\ (5x - 4) + (9x + 2) = 180 \\ 14x = 182 \\ x = 13 \\ \\ 9.13 + 2 = b \\ b = 119[/tex]

Answer:

In the given figure, we know that (angle B+angle C)=180°.

[tex](9x + 2) + (5x - 4) = 180 \\ 14x - 2 = 180 \\ 14x = 182 \\ \boxed{x = 13}[/tex]

Angle B = (9x+2) = (9×13+2) = (117+2) = 119°.

Answer: y  ≥  − 2

Step-by-step explanation : hope it helps :)

Answer:

B= 9/2 Hope this helped

Let's solve your equation step-by-step.

4(b−3)=6

Step 1: Simplify both sides of the equation.

4(b−3)=6

(4)(b)+(4)(−3)=6(Distribute)

4b+−12=6

4b−12=6

Step 2: Add 12 to both sides.

4b−12+12=6+12

4b=18

Step 3: Divide both sides by 4

The value of b in the expression 4(b - 3) = 6 is 4.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, 4(b - 3) = 6 and we have to solve for b.

4(b - 3) = 6.

4b - 12 = 6.                              (distributive law a(b+c) = ab + ac).

4b = 6 + 12.           (constants change sign when moved to the other sides).

4b = 16.

b = 16/4.

b = 4.

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Answer:

x-2, y+6

Step-by-step explanation:

Count up for Y and count to the left for X

Answer:

(x, y ) → (x - 10, y + 7 )

Step-by-step explanation:

Consider the coordinates of W and W'

W ( 1, - 2 ) and W'(- 9, 5 )

Consider the x- direction from W to W'

1 → - 9 = - 9 - 1 = - 10

Consider the y- direction from W to W'

- 2 → 5 = 5 - (- 2) = 5 + 2 = + 7

Thus the translation rule is

(x, y ) → ( x - 10, y + 7 )

Answer:

f=-2

Step-by-step explanation:

2(5-6f)= 34

(5-6f)= 34/2

5-6f= 17

-6f=17-5

-6f=12

f=12/-6

f=-2

Step-by-step explanation:

2(5-6f)= 34

(2*5)-(2*6f)=24

10-12f=34

-12f=34-10

-12f=24

-f=24/12

-f=2

f=-2