Two trains going in opposite directions leave at the same time. Train B travels 5 mph faster than train A. In 7 hours the trains are 665 miles apart. Find the speed of each.​

Answer:

a and d

Step-by-step explanation:

Answer:

C) 5√2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use the Law of Sines to solve the triangle. (Round your answers to two decimal places.)

A = 73°, a = 39, b = 24

Answer:

about 29 gallons

Step-by-step explanation:

3.54*36=127.44

3636/127.44 = 28.5 = 29

(a) Dilation is the process of extending the line segment AB to the longer one A'B'. The scale factor has to be larger than 1, and also it has to be positive.

(b) To get the dilation factor, you should first compute the length of AB, then compare it to the length of A'B'.

A is the point (-4, 2), and B is the point (2, -4). So the length of AB is

√((-4 - 2)² + (2 - (-4))²) = √((-6)² + 6²) = √72

A' is the point (-8, 4) and B' is (4, -8). The coordinates of A' and B' are twice the coordinates of A and B, so the distance is

√((2(-4) - 2(2))² + (2(2) - 2(-4))²) = √(2²×72) = 2√72

Then the dilation factor is

(2√72) / √72 = 2

As for dying, don't worry about it. It happens to everyone.

The sampling method used in this scenario is a) Random sampling. The teacher selects the new lunch line leader using a random number program on her computer, which implies that each kindergarten student has an equal chance of being chosen for the role.

In the given situation, each kindergarten student is assigned a number based on a seating chart. The teacher then uses a random number program on her computer to select the new lunch line leader. By using a random number program, the selection process is unbiased and ensures that each student has an equal opportunity to be chosen for the role. This randomness helps minimize potential biases and allows for a representative sample of the kindergarten students to be considered for the lunch line leader position.

To know more about sampling method,

https://brainly.com/question/32324460

#SPJ11

Answer:

-163840

Step-by-step explanation:

You're multiplying by -4 every time.

10, -40, 160, -640, 2560, -10240, 40960, -163840... so on and so forth.

Answer:

34086 mm

Step-by-step explanation:

34m = 34000 mm

8cm = 80 mm

6mm = 6mm

34000+80+6 = 34086 mm

Answer:

34086 mm

34m = 34000m

8cm  = 80mm

Answer:

oh it c .

Step-by-step explanation:

The probability that the average score of the golfers exceeded 62 = 0.0228

Given the mean score of all golfers, μ = 72

and the Standard Deviation, σ = 4

Number of golf players, n = 64

We have to find the probability that the average score of the golfers exceed 73. i.e., x = 73

This follows the Normal Distribution.

Hence the z-score, Z = (x - μ)/(σ/√n)

                                   = (73 - 72)√64/4

                                   = 2

Probability that the average score of the golfers exceeded 73 = P(Z > 2)

                                                                                                        = 0.0228 [from the z-tables]

The question is incomplete. Find the complete question below:

t\The average score of all golfers for a particular course has a mean of 72 and a standard deviation of 4. Suppose 64 golfers played the course today. Find the probability that the average score of the golfers exceeded 73 .

Learn more about z-score at https://brainly.com/question/25638875

#SPJ4

Answer:

-300

Step-by-step explanation:

Step 1:  Find the amount Elmer's funds decreased after purchasing the rabbits:

Let x represent Elmer's funds.

Since Elmer bought five rabbits for $10 each, he lost $10 5 times.

x - (10 * 5)

x - 50

Thus, Elmer lost (spent) $50 for the 5 rabbits.

Step 2:  Find the amount Elmer's funds decreased after purchasing the  cupboards:

Since Elmer bought four cupboards for $70 each, he lost $70 4 times:

x - (50 + (70 * 4))

x - (50 + 280)

x - 330

Thus, after purchasing the rabbits and cupboards, Elmer lost $330.

Step 3:  Find the amount Elmer's funds increased after finding the twenty-dollar bill:

Since Elmer found a twenty-dollar bill, he gained $20

x - (330 + 20)

x - 310

Step 4:  Find the amount Elmer's funds increased after returning one rabbit:

Since Elmer returned one rabbit, he gained $10:

x - (310 + 10)

x - 300

Thus, Elmer's funds changed totally by -$300.

Putting all the information together, we have:

x - 10 - 10 - 10 - 10 - 10 - 70 - 70 - 70 - 70 + 20 + 10

x - 50 - 280 + 30

x - 330 + 30

x - $300

Answer:

y=0.5x+8

Step-by-step explanation:

The slope is 0.5 so y=0.5x. We can plug in the point to the equation and we get 8=0(0.5)+b or 8=0+b. b=8 so the equation is y=0.5x+8

The sides RS and ST are equal because they are the side of the congruent triangle that is RS ≅ ST. Then the correct option is D.

It is a locus of a point drawn equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

In circle Q, ∠RQS ≅ ∠SQT.

In ΔRQS and ΔTQS

∠RQS ≅ ∠SQT (Given)

QS = QS (Common side)

RQ = QT (Radius of the circle)

The ΔRQS and ΔTQS triangles are congruent to each other. That is given as ΔRQS ≅ ΔTQS.

The sides RS and ST are equal because they are the side of the congruent triangle that is RS ≅ ST. Then the correct option is D.

More about the circle link is given below.

https://brainly.com/question/11833983

Answer:

D. rs≅st

Step-by-step explanation:

i did it

Approximately 6% of the home-schooled Grade 12's failed Mathematical Literacy.

To determine the percentage of home-schooled Grade 12's who failed Mathematical Literacy, we need to look at the Box-and-Whisker diagram provided.

The lower quartile (Q1) of the diagram is located at approximately 37%, which means that 25% of the learners scored 37% or lower.

Since the pass mark for the subject is 30% or more, we can subtract the percentage of learners who scored 30% or higher from 100% to determine the percentage who failed.
To do this, we need to look at the upper whisker of the boxplot, which extends to approximately 69%. This means that 25% of the learners scored 69% or higher.

Therefore, the percentage of home-schooled Grade 12's who failed Mathematical Literacy can be calculated as follows:
100% - (25% + 75% - 69%) = 6%

Therefore, approximately 6% of the home-schooled Grade 12's failed Mathematical Literacy.

Know more about percentage here:

https://brainly.com/question/24877689

#SPJ11

The domain and the range of the function are (-∝, ∝) and (0, ∝), respectively

From the question, we have the following parameters that can be used in our computation:

The graph

The above graph is an exponential function

The rule of an function is that

The domain is the set of all real values

In this case, the domain is (-∝, ∝)

For the range, we have

Range = (0, ∝)

Read more about domain and range at

brainly.com/question/27910766

#SPJ1

Answer:

5√2

btw there is line on top of 2

There are 144 combinations of 1 entree, 2 vegetables, and 1 dessert that can be selected from 4 entrees, 6 vegetables, and 6 desserts.

To determine the number of combinations, we multiply the number of options for each category.

For the entree, we have 4 options to choose from.

For the vegetables, we need to select 2 out of 6, which can be done in 6 choose 2 ways.

This is calculated as 6! / (2!(6-2)!), which simplifies to

6! / (2!4!)

Similarly, for the dessert, we have 6 options to choose from.

To calculate 6 choose 2, we can use the formula for combinations:

n choose r = n! / (r!(n-r)!).

Plugging in the values, we have

6! / (2!4!) = (6 × 5 × 4 × 3 × 2 × 1) / [(2 × 1) × (4 × 3 × 2 × 1)] = 15.

Therefore, we have 4 options for the entree, 15 options for the vegetables, and 6 options for the dessert.

Multiplying these numbers together, we get 4 × 15 × 6 = 144.

Therefore, there are 144 possible combinations of 1 entree, 2 vegetables, and 1 dessert, given the options of 4 entrees, 6 vegetables, and 6 desserts.

Learn more about combinations here:

https://brainly.com/question/28065038

#SPJ11

Answer:

9

Step-by-step explanation:

9

Answer:

3X +ky=8 eqn 1

X-2ky=5 eqn 2

but we want to eliminate ky to get our X.

So let's multiply eqn 1 by 2.

We will have 6x +2ky=16 now eqn 3

now we add eqn 1 and 2

We will have 7x=21

divide by 7

x=3

Answer:

yes it can

Step-by-step explanation:

yes

Answer:

No

Step-by-step explanation:

You need to use the Pythagorean Theorem.  This will show you if the ratio between the sides is accurate.

a² + b² = c²

8² + 11² = 13²

64 + 121 = 169

185 ≠ 169

The measurements will not fit in a right triangle.

Answer:

360 calories

Step-by-step explanation:

360

Answer:

360

Step-by-step explanation:

Answer: 11, 23, 166

Step-by-step explanation:

Hiya! From the drawings, I'm assuming all of the triangles are right-angled triangles. If they aren't though, tell me and I'll tell you how to solve them.

Anyways, assuming they are right angled-triangles, you can use Pythagoras' Theorem (aka a² + b² = c²)

c is the hypotenuse or the side opposite the right angle.

a and b are just the other two sides (doesn't really matter which is which)

Question 7:

c² = a² + b²

12² = a² + 5²

144 = a² + 25

144 - 25 = a²

119 = a²

a = 10.908712114635714411502154487373

(To the nearest whole number: 11)

Question 8:

c² = a² + b²

24² = 7² + b²

576 = 49 + b²

576 - 49 = b²

527 = b²

b = 22.956480566497992703585747092065

(To the nearest whole number: 23)

Question 9:

c² = a² + b²

c² = 90² + 140²

c² = 8,100 + 19,600

c² = 27,700

c = 166.43316977093238068928214785346

(To the nearest whole number: 166)

Hoped this helped! Tell me if there's something you don't understand. :)

Given:-

To find:-

The orderd pair.

To find an orders pair, we substitute the value of x as some numbers and find out the value of y.

So to find the orderd pair. we substitute the value of x as 0,1,2,3.

So while substituting x =0. we get the answer as,

So the oderd pair is (0,-2).

Now we substitute x = 1. we get the answer as,

Answer: 36034 is the answer

Step-by-step explanation:

838

x 43

----------

When multiplying by larger numbers with two digits or more, use one placeholding zero when multiplying by the tens digit, two placeholding zeros when multiplying the hundreds digit, three zeros when multiplying by the thousands digit, and so forth.

Answer:

36034

Step-by-step explanation:

Answer:

1. True

2. False

3. True

4. True

Step-by-step explanation:

Answer:

C. 9 is subtracted from the product of 5 and a number.

Step-by-step explanation:

Brainiest, Please