In adding algebraic expression , we collect different groups of ........................
A. Variable
b. constant
C. like terms
d. unlike terms

answer:

p=2(l+w)

150=2.5+w

150=10w

150/10=w

15=w

Answer:

C) 0.71.

Step-by-step explanation:

To find the probability of an event occurring, we need to sum up all the probabilities of the outcomes that satisfy the event. In this case, the event "F or C" is satisfied by all the outcomes in which the participant's first motor vehicle had four cylinders or was a car.

We can see from the table that 118 out of the 200 participants had their first motor vehicle as a car, so the probability of this event occurring is 118/200 = 0.59. Similarly, we can see that the probability of the event "first motor vehicle had four cylinders" occurring is (118 + 4) / 200 = 0.62.

Therefore, the probability of the event "F or C" occurring is the sum of the probabilities of these two events occurring, which is 0.59 + 0.62 = 0.71. The correct answer is therefore C) 0.71.

The value of the probability P(F or C) is 0.80, Option D is correct.

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

Given that a survey participant is randomly selected.

Let F be the event that the participant’s first motor vehicle had four cylinders and

let C be the event that the participant’s first motor vehicle was a car.

We need to find the value of P(F or C)

The number of P or c is 118+6+18+16+2

=160

The number of people in total are 200.

P(F or C )= 160/200

=0.80

Hence, the value of the probability P(F or C) is 0.80, Option D is correct.

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Answer:

This is the answer do it fast. Ok

Answer:

see explanation

Step-by-step explanation:

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

y = x² - 8x + 13 ← is in standard form

with a = 1 and b = - 8 , then

[tex]x_{vertex}[/tex] = - [tex]\frac{-8}{2}[/tex] = 4

Substitute x = 4 into the equation for corresponding value of y

y = 4² - 8(4) + 13 = 16 - 32 + 13 = - 3

Vertex = (4, - 3 )

The axis of symmetry is a vertical line passing through the vertex with equation

x = 4 ← equation of axis of symmetry

To determine direction of opening

• If a > 0 then graph opens up

• If a < 0 then graph opens down

Here a = 1, thus graph opens up

Answer:

15 bundles of roofing shingles

Step-by-step explanation:

Total bundles of roofing shingles = 29

He carries two bundles at a time

How many bundles are still on the ground after his seventh trip up the ladder?

First trip = 2 bundles of roofing shingles

Second trip = 2 bundles of roofing shingles

Third trip = 2 bundles of roofing shingles

Fourth trip = 2 bundles of roofing shingles

Fifth trip = 2 bundles of roofing shingles

Sixth trip = 2 bundles of roofing shingles

Seventh trip = 2 bundles of roofing shingles

Total bundles of roofing shingles carried in 7 trips = 2 + 2 + 2 + 2 + 2 + 2 + 2

= 14 bundles of roofing shingles

Bundles still on ground after 7 trips = Total bundles of roofing shingles - Total bundles of roofing shingles carried in 7 trips

= 29 - 14

= 15 bundles of roofing shingles

Answer:

(−5)2

Multiply −5 and 2 to get −10.

−10

Answer:

y = [tex]\frac{1}{2}[/tex] x + 4

Step-by-step explanation:

Assuming you require the equation of the line.

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (8, 8) and (x₂, y₂ ) = (10, 9)

m = [tex]\frac{9-8}{10-8}[/tex] = [tex]\frac{1}{2}[/tex] , then

y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (8, 8) , then

8 = 4 + c ⇒ c = 8 - 4 = 4

y = [tex]\frac{1}{2}[/tex] x + 4 ← equation of line

Answer:

A. the median number of hours spent on Math was about 2.9

Step-by-step explanation:

The least number of hours was 0 and the greatest was 11.35. The IQR is between 2.27 and 4.54.

The median number of hours spent on Math was about 2.9. Therefore, option A is the correct answer.

The given box plot shows the number of hours students have spent on math this week.

The far left of the chart (at the end of the left “whisker”) is the minimum (the smallest number in the set) and the far right is the maximum (the largest number in the set). Finally, the median is represented by a vertical bar in the centre of the box.

Here, in the given box plot we can see the least number of hours was 0 and the greatest was 11.35. The IQR is between 2.27 and 4.54.

The vertical line represents the median, which is 2.9.

Therefore, option A is the correct answer.

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Answer:

A direct variation is when x and y (or f(x) and x) are directly proportional to each other... For example, if you have a chart that says x and y, and in the x column is 1, 2 and 3, and the y column says 2, 4 and 6... then you know it's proportional because for each x, y increases by 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

x =2√55,−2√55

Decimal Form:  x=0.89442719…,−0.89442719…

Step-by-step explanation:

Answer: Choice A) The value of s(x) depends on the value of x, since s is a function of x.

The outer letter s tells us what the function's name is. It's the dependent variable and it might be handy to tie it to the y variable. The x is the independent variable. It changes freely without relying on what s happens to be.

Answer:  A. The value of s(x) depends on the value of x, since s is a function of x.

Step-by-step explanation: s(x) is the output of the function when a given value of x is calculated according the operations in the function.

Answer:

R has to be -2

Step-by-step explanation:

So to find a slope the formula is written as

Y2-Y1/ X2 -X1

We know X1 and X2 and Y1.

If we plug those in and put Y2 as the variable ”r”

You’ll get

[tex]\frac{r-4}{1+5}[/tex]

Now make that equal to -1 since thats the slope

If you solve the equation it should get you -2

Answer:

1

Step-by-step explanation:

negative times negative is positive so that would make it 3-2 which is 1.

Answer:

sam will take the 75 pollywog pralines and divide them into the three bags

75÷3 =25

Answer:

40

Step-by-step explanation:

20% of 120 which is 24 are lions

half of the animals which is 120 ÷ 2 is 60 for the zebra

therefore, 60+24 is 84

120 - 84 is 36

Answer:

400 words in 10 minutes

Step-by-step explanation:

If you divide 280 by 7, you get 40. That means she can type 40 words per minute. 40 times 10 equals 400.

Answer:

‍♂️ but if you know please answer

Answer:

12344567891011121314151617181920

Step-by-step explanation:

12344567891011121314151617181920

Answer: 130 or a

Step-by-step explanation: 360-230=130

Answer:

130°

Step-by-step explanation:

First step you need draw a line from X to O and line Z to O. Both of them are radius.

as we know, radius and tangent line are always perpendicular. so the degree is 90° each.

shape of XYZO is kite with total of 360°

so the arc XZ have

360 - 50 - 90 - 90 = 130°

Answer:

c

Step-by-step explanation:

I took the test and got it right

The correct equation that justifies why seven to the one-third power equals the cube root of seven is option C: [tex](7^{(1/3)})^3[/tex]=[tex]7^{(1/3 * 3)[/tex]=7.

C. Seven to the one-third power all raised to the third power equals seven to the one-third times three power equals seven.

Let's break down the steps:

Seven to the one-third power all raised to the third power:

[tex](7^{(1/3)})^3[/tex]

Using the property of exponents [tex](a^{(m*n)} = (a^m)^n)[/tex] to simplify:

[tex]7^{(1/3 * 3)[/tex]

The exponent 1/3 multiplied by 3 is equal to 1:

[tex]7^1[/tex]

Any number raised to the power of 1 is itself, so:

7

This justifies that [tex]7^{(1/3)[/tex] raised to the power of 3 is equal to 7.

Therefore, [tex]7^{(1/3)[/tex] is equal to the cube root of 7.

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Inequality Answer: 1 + y ≥ 3

I hope this helps, and Happy Holidays! :)

Answer:

60 feets

Step-by-step explanation:

Given that :

Using Pythagoras rule :

Hypotenus = sqrt(Adjacent^2 + opposite^2)

From the attached picture :

x² = 87^2 - 63^2

x^2 = 7569 - 3969

X^2 = 3600

Take the square root of both sides :

X = sqrt(3600)

X = 60 feets

Hence, Katy and Tony are 60 feets apart

Answer:

I’m pretty sure it’s A

Answer:

y = 28.1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Set Up Equation

"Difference" is subtraction

"y" is y

"8.1" is 8.1

"is" is equal

"20" is 20

y - 8.1 = 20

Step 2: Solve for y

Answer:

The speed of the current is 2.5 miles per hour

Step-by-step explanation:

Systems of Equations

Let's call:

B = velocity of the boat

C = velocity of the current

When traveling upstream, the current is against the boat thus the relative velocity is B-C.

The distance is the product of the velocity by the time. Since the boat takes 7 hours to travel 35 miles upstream, thus:

d=(B-C)*7=35

Dividing by 7:

B - C = 5       [1]

When traveling downstream, the current and the boat are collaborative and the relative velocity is B+C. The travel takes now 3.5 hours, thus:

d=(B+C)*3.5=35

Dividing by 3.5:

B + C = 10       [2]

Subtracting [2] - [1]:

2C = 5

C = 5/2 = 2.5

The speed of the current is 2.5 miles per hour

Answer:

The movie is actually 3/28 hours.

Step-by-step explanation:

1

4

÷

2 1

3

=

1

4

÷

7

3

=

1

4

×

3

7

=

1 × 3

4 × 7

=

3

28

Answer:

mean of e + f = 18

Step-by-step explanation:

(a + b + c + d)/4 = 9         Multiply by 4

a + b + c + d = 9 * 4 = 36

(a + b + c + d + e + f ) / 6 = 12

but a + b + c + d = 36

(36 + e + f)/6 = 12             Multiply by 6

36 + e + f = 72                 Subtract 36 from both sides

e + f = 36                         Divide by 2 to find the mean.

(e + f)/2 = 36/2

mean of e + f = 18

Answer:

I think is The little (D) -12.4.