Your older brother drove to your grandparents’ house in a different car but left from the same location at the same time. If he traveled at a constant speed of 60 miles per hour, explain why he would reach your grandparents’ house first. Use words, diagrams, or numbers to explain your
Please answer I will mark brainlist

Answer: -24x^2+28x

Step-by-step explanation: -4x*6x-(-4x)*7 to -24x^2+28x

The y-intercept of the graph of the equation will be - 22.5.

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Kelley must work 22.5 hours at her job to earn half the cost of a new phone.

And, She works 3 hours each day.

Now,

Let x represent the number of days she worked and let y represent the remaining number of hours she needs to work to buy the phone.

So, We can formulate;

⇒ 22.5 = 3x + y

⇒ y = 3x - 22.5

By comparing the slope intercept form of an equation,

y = mx + b

Where, m is slope and 'b' is y - intercept.

We get;

The value of y - intercept = - 22.5

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Answer:

it is C

Step-by-step explanation:

Answer

false 3 times 6 doesn't =12 that would be 18 2 times 6 =12

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Answer:

-1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

2(3x - 1) ≥ 4x - 6

Step 2: Solve for x

Here we see that any value x greater than or equal to -2 would work as a solution.

Answer:

Two expressions for the area are;

i) x/3 + 2·y + 6

ii) (1/3) × (x + 6·y + 18)

Step-by-step explanation:

The given dimension of the rectangle are;

The height of the rectangle, h = 1/3

The width of the smallest rectangle, w₁ = x

The width of the med sized rectangle, w₂ = 6·y

The width the large rectangle, w₃ = 18

The area, 'A', of the entire rectangular figure, the big rectangle, can be expressed as follows;

A = A₁ + A₂ + A₃

Where;

A₁ = The area of the smallest rectangle

A₂ = The area of the mid sized rectangle

A₃ = The area of the large rectangle

∴ A = (1/3) × x + (1/3) × 6·y + (1/3) × 18 = x/3 + 2·y + 6

The area of the big rectangle. 'A', can also be found as follows;

A = (1/3) × (x + 6·y + 18)

Therefore, two expressions for the area of the big rectangle are;

x/3 + 2·y + 6 and (1/3) × (x + 6·y + 18).

Answer:

1.75

Step-by-step explanation:

Answer:

\( \frac{1}{2} \times x = \frac{1}{2} \times 7 \\ \\ \frac{x}{2} = \frac{7}{2} \\ \\ 2x = 2 \times 7 \\ 2x = 14 \\ \\ x = \frac{14}{2} \\ \\ x = 7\)

hope I helped you^_^

Answer:

The number printed in red color = 5

The number printed in silver color = 8

The number printed in blue color = 1

Step-by-step explanation:

P.S - The exact question -

Given - The diagram

To find - The number that represent Red, Silver and Blue color.

Proof -

Let the number printed in red color = r

Let the number printed in silver color = s

Let the number printed in blue color = b

Also,

Given that the equation is -

  b s r

  b s r

+ b s r

= r  r  r

Now,

We have to think of a number that if we add the last digit of the number gives the same last digit.

Bt inspection ,

the number would be 5

Because 5 + 5 + 5 = 15

Lat place of the equation is same

So,

The number printed on red color = 5

⇒r = 5

So, the equation becomes

  b s 5

  b s 5

+ b s 5

= 5  5  5

Now,

We have to think of a number whose last digit add up to 3  + 1 gives the last digit number 5 ( we add 1 because by adding 5 + 5 + 5 , we get 15 so we write the last digit 5 and 1 goes to the remainder and that remainder 1 will add up in the next number addition)(addition rule)

i.e.

s + s + s + 1 = number whose end digit is 5

By inspection,

The number would be 8

because 8 + 8 + 8 + 1 = 25

So,

we get

s = 8

So, the equation becomes

  b  8  5

  b  8  5

+ b  8  5

= 5  5  5

Now,

By same process , we will find the number of blue color

By inspection the number on blue color = 1

∴ we get

The number printed in red color = 5

The number printed in silver color = 8

The number printed in blue color = 1

and the equation is -

  1  8  5

  1  8  5

+ 1  8  5

= 5  5  5

The probability of selecting a household that has at least one car = 0.553

What is probability ?

"Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in Math to predict how likely events are to happen. The meaning of probability is basically the extent to which something is likely to happen. This is the basic probability theory, which is also used in the probability distribution, where you will learn the possibility of outcomes for a random experiment."

According to the given question:

There are 1000 households and there are 125 + 428 = 553 households with 1 or no cars.

Therefore,

The probability of selecting a household with less than 2 cars is

Hence, the probability of randomly selecting a household that has at least one car = 0.553.

Complete question:

The random variable is x represents the number of cars per household in a town of 1000 households, find the probability of randomly selecting a household that has at least one car.

0 1 2 3 4 cars

125 428 256 108 83 households

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Based on the angle at m∠ABC=30° and the length of BD, the length of AD can be found to be 18 cm.

From the description of the shape:

AB = AD + BD

So we try to find AB.

∠BDC

Cos 30° = 54/BC

(√3) / 2 = 54/BC

BC = 36√ 3

This allows us to find ∠ACB

Cos30° = BC / AB

(√3) / 2 = (36√ 3) / AB

AB = 72

Now that we have AB, AD is:

72 = AD + 54

AD = 18 cm

Full question is:

In the right △ABC, CD is the altitude to the hypotenuse AB and m∠ABC=30°. Find AD, if BD=54 cm.

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Answer:

11.7

Step-by-step explanation:

1111111938338388383828

Answer:

157.62

Step-by-step explanation:

I took the mass(g) of 34.932 and divided it by the volume of 4.1

\(\frac{34.932}{4.1} =8.52\)

To prove that this was correct I did the same thing for the next row

\(\frac{47.712}{5.6} =8.52\)

I took 8.52 and multiplied it by the volume of 18.5 to get the mass.

\(8.52*18.5=157.62\)

The mass is 157.62

hope this helps! :))

The answer is C. when you plug in your equation you should get a decimal but make sure to round up or down to the nearest WHOLE number so it would be C.

The expression for the total number of miles Pablo drove in the two weeks is (115+k) miles.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Given that Last week, Pablo drove 115 miles. This week, he drove k miles. Therefore, the total number of miles for which Pablo drove can be written as,

Total number of miles = Number of miles last week + Number of miles this week

                                    = 115 miles + k miles

                                    = (115 + k) miles

Hence, the expression for the total number of miles Pablo drove in the two weeks is (115+k) miles.

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a) The shape of the histogram appears to be roughly symmetric and bimodal.

b) The histogram appears to have two modes, explanation is given below.

c) D option is correct.

a) The shape of the histogram appears to be roughly symmetric and bimodal.

b) The histogram appears to have two modes, which may be due to the fact that the data includes both male and female students. The two modes may correspond to the average shoe sizes for men and women, respectively.

c) D option is correct. The distribution has two modes from 38 to 40 and from 44 to 46. This may be due to having data for both men and women. The lower mode might be for women and the upper for men.

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____ The given question is incomplete, the complete question is given below:

In the U.S., shoe sizes are defined differently for men and women, but in Europe, both genders use the same shoe size scale. The accompanying histogram shows the European shoe sizes of 269 male and female college students, converted from their reported U.S. shoe sizes.

a) Describe the shape.

view the histogram (The distribution is roughly symmetric and bimodal.)

b) How many modes does the histogram have? What might explain that?

c) Choose the correct answer below.

A. The distribution is multimodal, with modes from 38 to 40, from 44 to 46, and from 48 to 50. This may be due to having data for both men and women. The first two modes might be for women and the third for men.

B. The distribution has one mode from 44 to 46. This is due to the students having roughly the same mean shoe size.

C. The distribution has one mode from 38 to 40. This is due to the students having roughly the same mean shoe size.

D. The distribution has two modes from 38 to 40 and from 44 to 46. This may be due to having data for both men and women. The lower mode might be for women and the upper for men.

E. The distribution has two modes from 34 to 36 and from 44 to 46. This may be due to having data for both men and women. The lower mode might be for women and the upper for men.

F. The distribution is multimodal, with modes from 34 to 36, from 40 to 42, and from 43 to 50. This may be due to having data for both men and women. The first two modes might be for men and the third for women

G. The distribution does not have any modes, because it is uniform i Shoe Sizes Count.

Answer:

15.3

Step-by-step explanation:

im not 100 percent sure if this is correct but i used a calculator so...

Answer:

8/35

Step-by-step explanation:

area = length x width

area = 2/5 cm x 4/7 cm

area= 8/35 cm

Answer:

I think it would be 8/35.

hoped it helped

Answer:

This is not a right triangle because the hypotenuse is less than the two sides and aren't equal when following the Pythagorean thm

Step-by-step explanation:

To confirm if a triangle is a right triangle, we must use the Pythagorean thm

a^2 + b^2 = c^2

23^2 + 11.4^2 = 21.2^2

529 + 129.96 = 449.44

658.96 ≠ 449.44

Answer:

bottom lock: 30lb. top lock: 66

Step-by-step explanation:

the x=9 and the y=3 so do order of operations. (9x2)+(3x4), then 18+12=30. 30lb. is the first lock. then do (9x3)+9+30. the second lock is 66.

Complete question :

The loudness of a jack hammer is 96 dB. Its sound intensity is about 0.004.

The loudness of a compactor is 94 dB. Its sound intensity is about 0.0025.

The sound intensity of the jack hammer is about 1.6 times the sound intensity of the compactor.

The loudness of a pile driver is 112 dB. About how many times the sound intensity of the jackhammer is the sound intensity of a pile driver? Round to the nearest ten.

Answer:

40

Step-by-step explanation:

Given that:

Sound intensity of jackhammer = 0.004

Sound intensity of compactor = 0.0025

Sound intensity of jackhammer is about 1.6 times the sound intensity of a compactor

Each factor of 10 in intensity corresponds to 10dB

Pile driver with loudness of 112dB ; 112 / 10 = 11.2

Hence, 10^11.2 = 1.58489 * 10^11

Hence, sound intensity (I) in watts per m²

I = 1.58489 * 10^11 * 10^-12

I = 1.58489 * 10-1

I = 0.158489

Comparing the intensity of pile driver and jackhammer :

Intensity of piledriver / Intensity of jackhammer

0.158489 / 0.004

= 39.622

= 40 (nearest ten)

Answer:

40

Step-by-step explanation:

Edge 2020

Answer:

Step-by-step explanation:

Principal = 17,525. Rate = 1/2% = 0.005 time,t = 3

Interest, I = principal x rate x time

Interest, I = 17525 x 0.005 x 3

Interest, I = $262.875

Answer:

They intersect at (-4, -19)

Step-by-step explanation:

Graph both of the equations and once you do that all you have to do is find the point where they intersect.

Hope this helped you!

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Answer:

(-4,-19)

Step-by-step explanation:

The calculated measure of the angle CTZ is 38 degrees

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

This means that

YTA + BTC = 90

So, we have

4y + 6 + 7y - 4 = 90

So, we have

11y = 88

Divide

y = 8

Next, we have

CTZ = 90 - BTC

So, we have

CTZ = 90 - (7y – 4)

This gives

CTZ = 90 - (7 * 8 – 4)

Evaluate

CTZ = 38

Hence, the measure of CTZ is 38 degrees

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Perimeter of the photo frame is 64 cm.

According to the question

Area of a square photo frame is 256 cm2.

The area of a square is equal to the square of the length of its side and the perimeter of the square is 4 times the length of its side.

Area of the square = side × side = a × a

\(a^{2} = 256\)

Side(a) = \(\sqrt{256}\) = 16

Side(a) = 16

Perimeter of the photo frame:

Formula for perimeter of a square:

Perimeter p = 4a

p = 4 × 16

p = 64

Perimeter of the photo frame is 64 cm.

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The number line (-2, 6] is correctly represented by option a) (-2, 6].

Option a) (-2, 6] denotes an open interval, which means that it includes all real numbers greater than -2 and less than or equal to 6. The square bracket on the right side indicates that the endpoint 6 is included in the interval.

Option b) {x | -2 < x ≤ 6} represents a closed interval, which means that it includes all real numbers greater than -2 and less than or equal to 6. However, it uses set notation instead of interval notation.

Option c) (-∞, -2] ⋃ (6, ∞) represents a union of two intervals. The first interval (-∞, -2] includes all real numbers less than or equal to -2, and the second interval (6, ∞) includes all real numbers greater than 6. This option does not correctly represent the given number line.

Option d) {x | x < -2 or x ≥ 6} represents the set of all real numbers that are less than -2 or greater than or equal to 6. This option does not correctly represent the given number line.

Therefore, the correct representation for the number line (-2, 6] is option a) (-2, 6].

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Answer:

-60+87d

     or

87d-60

Step-by-step explanation:

-3(20+-29d)=

-60+87d

Answer: Wow, sorry it took me so long, but I believe your answer is 127.

Step-by-step explanation: When finding an angle for something like this, we need to find the angles of the triangle.  As you can see, 89 is provided already, but we need two more.  Let's say we make a guess of 127 as 14x + 1. The other side which is angle F has to add up with 127 to make 180, which is 53.  So angle F is 53.  That gives us 89 + 53 which equals 142.  180 - 142 equals 38.  To solve 5x - 7, you need to fill in 9 to make the equation true, which is 5 x 9 - 7 or 38.  So, angle H is 38.  38 + 89 + 53 equals 180.  So for 14x + 1, it's 127.

Hope this helps! :)

Answer:

So talk in here

Step-by-step explanation:

(a) the expected value of the amount you win 2/9 , (b) the variance of the amount you win 5/18 , c) The expected value of the amount you win is -$0.0667 and d)The variance of the amount you win is 1.2898.

Let's calculate the expected value and variance of the amount you win step by step:

a) Calculate the probability of drawing two marbles of the same color.

First, calculate the probability of drawing two red marbles:

P(RR) = (5/10) * (4/9) = 20/90 = 2/9

Similarly, calculate the probability of drawing two blue marbles:

P(BB) = (5/10) * (4/9) = 20/90 = 2/9

b) Calculate the probability of drawing two marbles of different colors.

P(RB) = (5/10) * (5/9) = 25/90 = 5/18

P(BR) = (5/10) * (5/9) = 25/90 = 5/18

c) Calculate the expected value.

The expected value (EV) is calculated by multiplying each outcome by its probability and summing them up.

EV = (P(RR) * $1.10) + (P(RB) * -$1.00) + (P(BR) * -$1.00) + (P(BB) * $1.10)

= (2/9 * $1.10) + (5/18 * -$1.00) + (5/18 * -$1.00) + (2/9 * $1.10)

= $0.2444 - $0.2778 - $0.2778 + $0.2444

= -$0.0667

Therefore, the expected value of the amount you win is -$0.0667.

d) Calculate the variance.

The variance is a measure of the dispersion of the outcomes around the expected value. It is calculated as the sum of the squared differences between each outcome and the expected value, weighted by their probabilities.

Variance = (P(RR) * ($1.10 - EV)²) + (P(RB) * (-$1.00 - EV)²) + (P(BR) * (-$1.00 - EV)²) + (P(BB) * ($1.10 - EV)²)

Variance = (2/9 * ($1.10 - (-$0.0667))²) + (5/18 * (-$1.00 - (-$0.0667))²) + (5/18 * (-$1.00 - (-$0.0667))²) + (2/9 * ($1.10 - (-$0.0667))²)

= (2/9 * $1.1667²) + (5/18 * -$0.9333²) + (5/18 * -$0.9333²) + (2/9 * $1.1667²)

= 1.2898

Therefore, the variance of the amount you win is 1.2898.

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The midpoint has coordinates (19,19) as per the midpoint formula.

The statement is false.

The statement is false. The midpoint of the segment joining two points is determined by taking the average of their x-coordinates and the average of their y-coordinates. In this case, the two given points are (0,0) and (38,38).

To find the x-coordinate of the midpoint, we take the average of the x-coordinates of the two points:

(x1 + x2) / 2

= (0 + 38) / 2

= 38 / 2

= 19

Therefore, the x-coordinate of the midpoint is 19, which matches the statement. However, to determine if the statement is true or false, we also need to check the y-coordinate.

To find the y-coordinate of the midpoint, we take the average of the y-coordinates of the two points:

(y1 + y2) / 2

= (0 + 38) / 2

= 38 / 2

= 19

The y-coordinate of the midpoint is also 19. Therefore, the coordinates of the midpoint are (19,19), not 19 as stated in the statement. Since the midpoint has coordinates (19,19), the statement is false.

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