Evaluate each expression.
|10|
|-7| - 5
1 + |7|

The coordinate of the point after transformation is: (3, -4)

The coordinate initially is given as (0, -4).

Moving one unit to the left means a deduction of 1 unit from the x coordinate to get:

(0 - 1, -4)

= (-1, -4)

Moving by 4 units to the right means an addition of 4 units to x coordinate to get:

(-1 + 4, -4)

= (3, -4)

Read more about coordinate of point at: https://brainly.com/question/17206319

#SPJ1

The unit rate for canned juice, in cases per minute is; 50 cases per minute is; cases per minute

From the attached file, we see that it is a graph showing canned juice on the y-axis and time taken in minutes on the x-axis.

Now, to find the unit rate also means to find the slope from 2 defined points. From the given graph, we will take the coordinates;

(1, 50) and (2, 100)

Thus;

Slope = (100 - 50)/(2 - 1)

Slope = 50 cases per minute

Thus, the unit rate for canned juice, in cases per minute is; 50 cases per minute.

Read more about unit rate at; https://brainly.com/question/19493296

#SPJ1

Complete question is; A juice factory offers its juice in both bottles and cans. A class of students on a field trip decides to compare the numbers of cases of bottled juice and canned juice that are packaged each minute. The students count the number of cases that are packaged on each assembly line over several minutes.

What is the unit rate for canned juice, in cases per minute? Explain how you found this unit rate.

Answer: the answer is a. 11,627

Step-by-step explanation: a. doesn't round up to 13,000 but instead to 12,000

Answer:

0.3

Step-by-step explanation:

Answer:

0.3

Step-by-step explanation:

I hope this is what you where asking for?

Solution:

Given that

The probability of an event is expressed as

In this case, the total number of possible outcome equals 125.

Step 1: Evaluate the probability of picking a red block.

Thus,

Step 2: Evaluate the probability of picking a purple block.

Thus,

Step 3: Evaluate the probability of picking a red or purple block.

The probability of picking a red or purple block is expressed as

Thus, we have

Hence, we have the theoretical probability P(red or purple) to be

Answer:

x=70°

Step-by-step explanation:

angles on straight line add to 180 so...

180-120=60°

angles in triangle add to 180° so...

180°-50°-60°=70°

so x=70°

Tally won the dirt throwing game and his score was 1.

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

From the given information, The score of Tally is,

= 3×2 - 3×3 + 4×1.

= 6 - 9 + 4.

= 1.

The score of Awasin is,

= 4×2 - 4×3 + 2×1.

= 8 - 12 + 2.

= - 2.

So, Tally won the game and his score is 1.

learn more about numerical expressions here :

https://brainly.com/question/29199574

#SPJ1

Answer:

-50

Step-by-step explanation:

25 * -2 = -50

Answer:

The change of temperature of the milk after 25 minutes will be -50 degrees because a rate of -2 per minute would be 25 times -2   Have a nice day! :)

Answer:

67.25

Step-by-step explanation:

Since they can each get 1/2 the jelly beans but need to eat it over 4 days they will be eating 1/2*1/4 jelly beans per day. This is equal to 1/8x where x is the total jelly beans. We know the total so we can plug 538 in for x and divide 538 by 8 to get 67.25

Answer:

Option C: -$1500 is the correct answer.

Step-by-step explanation:

Given that:

Total amount invested in business = $24,000

Loss suffered in first quarter = $4500

As the amount is shared by Brian, Steve and Rita equally, therefore,

Loss of each person = \(\frac{Loss}{Number\ of\ people}\)

Loss of each person = \(\frac{4500}{3} = \$1500\)

As loss is defined by decrease in the investment,

Loss of each person = -$1500

Hence,

Option C: -$1500 is the correct answer.

Answer:

-$1,500

I hope this helps

The product of the expression 7 x 63 is 441.

We have,

To find the product of 7 x 63 using the distributive property, we can break down 63 as the sum of its factors, such as 60 and 3:

7 x 63 = 7 x (60 + 3)

Now, we can apply the distributive property by multiplying 7 to each term inside the parentheses:

7 x (60 + 3) = 7 x 60 + 7 x 3

Simplifying further:

7 x 60 + 7 x 3 = 420 + 21

Therefore,

The product of 7 x 63 is 441.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ1

Answer:

The two paint mixtures are the same shade of orange.

Step-by-step explanation:

it started out as 3 and 5, they both went up ONE so it made it 4 and 6. it is the same color, just more paint.

9514 1404 393

Answer:

  >180° (more than 180°)

Step-by-step explanation:

Angles are classified as ...

It seems that we're looking at definitions:

  obtuse : >90° :: reflex : >180°

Answer:

At an x-intercept

Step-by-step explanation:

y = sin x

y = sin 0

y = 0

(0,0) is an x-intercept but not it's maximum or minimum.

The required equivalent expression is given as 5(w - 3).

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

Here,
An equivalent expression of any expression is given as the simplifying the expression using various operations such as factors.
So,
Given expression,
=  5w - 15
As in the expression 5 is a common term between 5w and 15.
Take 5 commons and put the rest of the expression in the parenthesis.
= 5(w - 3)

Thus, the required expression is 5(w - 3).

Learn more about equations here:

brainly.com/question/10413253

#SPJ1

Answer:

y = 3,254.3 yd

Step-by-step explanation:

Lets denote with 'x' and 'y' the distances we need to find.

Using the Law of Sines we can write:

x/(sin 76) = 1175/(sin(180 - (83 + 76))

x/(sin 76) = 1175/(sin 21)

x = 3,181.4 yd

y/(sin 83) = 1175/(sin(180 - (83 + 76))

y/(sin 83) = 1175/(sin 21)

y = 3,254.3 yd

The platform is 3,181.4 yards far from one end of the beach and 3,254.3 yd far from the other.

The distance of the oil​ platform is 3708.82 yards, from each end of the beach.

Given that,

The figure shows a 1300​-yard-long sand beach and an oil platform in the ocean.

The angle made with the platform from one end of the beach is 84 degrees and from the other end is 76 degrees.

We have to determine,

The distance of the oil​ platform, to the nearest tenth of a​ yard, from each end of the beach.

According to the question,

Let x be the distance of the sand beach,

And y be the distance of oil platform.

The distance of the oil​ platform of a​ yard, from each end of the beach, is determined by using the sin rule,

\(\rm \dfrac{x}{sina} = \dfrac{y}{sinb}\\\\ \dfrac{x}{sin76} = \dfrac{1300}{sin(180-(84+76))}\\\\ \dfrac{x}{0.97} = \dfrac{1300}{sin(180-160)}\\\\\dfrac{x}{0.97} = \dfrac{1300}{sin20}\\\\\dfrac{x}{0.97} = \dfrac{1300}{0.34}\\\\ \dfrac{x}{0.97}= 3823.52 \\\\ x = 3823.52 \times 0.97\\\\x = 3708.82\)

Hence, The distance of the oil​ platform is 3708.82 yards, from each end of the beach.

For more details refer to the link given below.

https://brainly.com/question/18188038

9514 1404 393

Answer:

  25 inches

Step-by-step explanation:

The volume of a prism is given by the formula ...

  V = Bh

Filling in the given values, we have ...

  1400 in³ = (56 in²)h

  h = (1400 in³)/(56 in²) = 25 in . . . . . . divide by the coefficient of h

The height of the triangular prism is 25 inches.

Answer: The answer is 25 inches, I hope my answer is very helpful to your own question and have the rest of the day! :D

Sincerely,

Jason Ta,

The ambitious of Brainly and the role of the TDSB and WHCI Student of the high school.

Step-by-step explanation:

The three consecutive multiples of 3 are 15, 18 and 21

First, let's determine three successive multiples of 3:

The subsequent two would be "x+3" and "x+6" if we call the initial number "x".

Since we are aware that the third number (x+6) is one more than the first two numbers (x + x+3), we can write the following equation:

2/3(x + x+3) = (x+6) + 1

Simplifying this equation, we get:

2/3(2x+3) = x+7

Multiplying both sides by 3, we get:

2(2x+3) = 3(x+7)

Expanding and simplifying, we get:

4x + 6 = 3x + 21

Subtracting 3x and 6 from both sides, we get:

x = 15

Therefore, the three consecutive multiples of 3 are 15, 18 and 21

Learn more about consecutive multiples here : brainly.com/question/22081489

#SPJ1

coefficients are the numbers taht are multiplying the variable

in this case

coefficient=6

the constants are the ones that are not multiplied by anything

constant=8

Answer:

CAB is 37 degrees

Step-by-step explanation:

90 + 53 = 143

180 - 143 = 37

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

For more questions on trigonometric form

https://brainly.com/question/31744474

#SPJ8

The class width used for the frequency distribution is 6.

The class midpoint for the class 23-29 is 26.

The class midpoint for the class 30-36 is 33.

The class midpoint for the class 37-43 is 40.

To find the class width of the frequency distribution, we need to determine the range of each age class. The range is the difference between the upper and lower boundaries of each class. Looking at the table, we can see that the class boundaries are as follows:

23-29

30-36

37-43

For the class 23-29, the lower boundary is 23 and the upper boundary is 29. To find the class width, we subtract the lower boundary from the upper boundary:

Class width = 29 - 23 = 6

So, the class width for the frequency distribution is 6.

To find the class midpoint for each class, we take the average of the lower and upper boundaries of each class.

For the class 23-29:

Class midpoint = (23 + 29) / 2 = 52 / 2 = 26

For the class 30-36:

Class midpoint = (30 + 36) / 2 = 66 / 2 = 33

For the class 37-43:

Class midpoint = (37 + 43) / 2 = 80 / 2 = 40

So, the class midpoint for the class 23-29 is 26, for the class 30-36 is 33, and for the class 37-43 is 40.

For more such questions on class width visit:

https://brainly.com/question/30459609

#SPJ8

On solving the given system of equations →

Eq { 1 } :  - 3x + y = 11

Eq { 2 } :  4x + 3y = 7

using substitution, we get {x} = -2 and {y} = 5.

In mathematics, a system of equations is a pair of equations which have a common set of solutions.

Given is the system of equations as -

- 3x + y = 11

4x + 3y = 7

The given system of equations is -

- 3x + y = 11

4x + 3y = 7

Now, we can write -

y = 11 + 3x

So -

4x + 3(11 + 3x) = 7

4x + 33 + 9x = 7

16x = - 26

{x} = - 2

Then, we can write -

- 3 x - 2 + y = 11

{y} = 5

Therefore, on solving the given system of equations using substitution, we get {x} = -2 and {y} = 5.

To solve more questions on system of equations, visit the link below

https://brainly.com/question/21620502

#SPJ9

All tables that represent proportional relationship between x and y are:

B. table B.

E. table E.

In Mathematics and Geometry, a proportional relationship is a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical equation:

y = kx

Where:

Next, we would determine the constant of proportionality (k) by using various data points as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = (20 - 15)/(10 - 5) = (5 - 4)/(1 - 0)

Constant of proportionality, k = 1.

Therefore, the required linear equation is given by;

y = kx

y = x

Read more on proportional relationship here: brainly.com/question/28350476

#SPJ1

Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

5 T-shirts = $54

10 T-shirts = $108

20 T-shirts = $216

Answer:

A = 1/8

B = 1/4

C = 5/8

D = 7/8

Step-by-step explanation:

We have a number line between 0 and 1.

First we look at it into two equal intervals. One between 0 and 1/2, and the other between 1/2 and 1.

1/2 is the point before C.

Now we look between 0 and 1/2.

B is the midpoint of this segment.

So B is 1/2*(1/2) = 1/4

A is the midpoint between 0 and B, so 1/2*(1/4) = 1/8

C is the midpoint between 1/2 and 3/4

So

D is the midpoint between 3/4 and 1. So