Combine the like terms to create an equivalent expression:
2r+1+(−4r)+7

Answer:

A. 70°

Step-by-step explanation:

Since, TV = TU = 4

[tex] \therefore \: m \angle \: U = m \angle \: V \\(by \: isosceles \: \triangle \: theorem) \\ \because \: m \angle \: V = 70 \degree\\ \\ \therefore \: m \angle \: U = 70 \degree[/tex]

Answer:

four just count the circles above the one

Answer:

It looks like the factored form of a polynomial

Step-by-step explanation:

In unfactored form, it would be this:

2r^2 + -2r + 1

Answer:

C. $16.99

Step-by-step explanation:

The shirt cost after the discount will be $16.99. thus option C is correct.

Third party discount is the multiplication result of the maturity value of the original rate to the rate of interest and time period.

Thus, we get:

Third party discount = Maturity value × R × T (R in decimal form).

We have been given that a shirt that normally costs $19.99 is on sale for 15% off. we are asked to find the discount on the shirt.

Therefore,

19.99 x 15/100

19.99 x 0.15 = 2.99

Then subtract from the total amount;

19.99 - 2.99 = 16.99

Therefore, the  shirt cost after the discount will be $16.99. thus option C is correct.

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Answer: there were 12 chocolates in each box. (Originally, before any got eaten)

Step-by-step explanation: let x represent the total amount of chocolates in each box.

8x - 3(8) = 72

8x - 24 = 72 add 24 to both sides

8x = 96 divide both sides by 8

X = 12

Answer:

That means you had 48 chocolates in each box

Step-by-step explanation:

Since you eat 3 chocolates from all 8 boxes, you do this:

8 x 3 which = 24

Now since you have 72 chocolates left you do this:

72 - 24 which = 48

So, therefore, there were originally 48 chocolates in each box

(Don't eat so much chocolate lol you could get sick)

Answer:

5

Step-by-step explanation:

Answer:

1: 25c+10

2: 29a+18b

3: -2b+24n+11-12m

4: 23m+10

5: 8x+3y+16

Answer:

D

Step-by-step explanation:

those angles are vertical angles so they are congruent.

Answer:

The next one is 64. Can you mark branliest if it's right?

Answer:

F(x) = x^1 * 2

Step-by-step explanation:

Answer:

x= -9/4

Step-by-step explanation:

1) Isolate X

2) This will give you x+15x+4x=-21-24

(moving terms to another side will make it opposite, in this case positive 24 moving to the right will become negative 24)

3) Add the like terms

x+15x+4x = 20x

-21-24= -45

this will give you 20x=-45

4)Find the value of X by moving the 20 multiplier to the other side (this will become the opposite, division of 20)

x= -45/20

5) Simplify your answer

= -9/4

Answer: Samples A and B have the same mean, but Sample A has a larger median then Sample B.

Step-by-step explanation:

The median is the middle number in the sequence.

To find the median, place the numbers in order. Then take away, or cross out, one number from each side. Keep going until you are down to one or two numbers. If there is only one number left, that’s your median. If two, add the numbers together and divide by 2.

The mean is the average. To get the mean you add up all the values and subtract that sum by how many numbers there are in the sequence.

Option D is correct for the given conditions, Samples A and B have the same mean, but Sample A has a larger median than Sample B.

The descriptive summary of a data set is known as the central tendency in statistics. It reflects the center of the data distribution through the use of a single number from the dataset. Additionally, it only provides a summary of the dataset rather than information on specific data within the dataset. In general, several statistical metrics can be used to determine a dataset's central tendency.

Given  the data sets of two sets of quiz scores,

Sample A = 5, 5, 5, 5, 5

sample B = 2, 2, 2, 2, 17

mean is the average of total samples,

mean of sample A = (5 + 5+ 5 + 5 + 5 )/5

mean of sample A = 5

Mean of sample B = (2 + 2 + 2+ 2 + 17)/5

mean of sample B = 5

since the mean of both sample are same,

median is the central digit of sets

median of A is 5 and the median of B is 2,

so the median of sample A is larger than sample B.

Hence option D is correct.

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The graph formed by equation y= -2/3x+10 will be perpendicular to the graph by equation y=3/2x-10.

A line in the form of ax + by + d = 0 will be a linear equation and if we convert it into the form of y = mx + c where m will be the slope of that equation.

If two lines are perpendicular to each other then the product of their slope of them will be (-1).

⇒  m₁ ₓ m₂ = -1

The slope of line 2x + 3y = 10 will be -2/3

To be any line perpendicular whose slope m with the 2x + 3y = 10

⇒ -2/3 × m = -1

⇒   m = 3/2 so the slope of that line should be 3/2

Hence, line y=3/2x-10 will be perpendicular to the 2x + 3y = 10.

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Answer:

[tex]\boxed {\sf Parallel: 7 }[/tex]

[tex]\boxed {\sf Perpendicular: -\frac{1}{7}}}[/tex]

Step-by-step explanation:

First, identify the slope.

We are given the line y=7x-5.

This is in slope intercept form or y=mx+b where m is the slope and b is the y-intercept. So, the coefficient to x, or 7 in this case, is the slope.

Now, find the parallel and perpendicular slopes.

1. Parallel Slope

Parallel lines never intersect, so they have the same slope. A parallel line has a slope of 7.

2. Perpendicular Slope

Perpendicular slopes intersect to form right angles. They have negative reciprocal slopes.

A parallel line has a slope of 7 and a perpendicular line has a slope of -1/7.

Answer:

I'll help

Step-by-step explanation:

Parallel lines have the same slope so it will be 7.

And perpendicular lines if you multiply them together they have to add up to -1,

So 7 you change it to its opposite which is 1 over 7 and yeah just

Given:

The point is B(2,5) and its image is B'(1,2.5).

To find:

The scale factor.

Solution:

If a figure is dilated by the scale factor k and (0,0) is the center of then the scale factor is defined as

[tex]k=\dfrac{\text{x-coordinate of the point on image}}{\text{x-coordinate of the corresponding point on the original figure}}[/tex]

x-coordinate of point B' is 1 and the x-coordinate of point B is 2. So, the scale factor is

[tex]k=\dfrac{1}{2}[/tex]

Therefore, the scale factor is  [tex]\dfrac{1}{2}[/tex] and the correct option is D.

Answer:

non the avibe

Step-by-step explanation:

xu x6y8z9vtgkxih 174374t6fivH tin s6d

Answer:

1,3, and 4

Step-by-step explanation:

Answer:y=1/2

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Hope this will help

Answer:

I think so it is option A)

I hope this might help u

Answer: -1/8 OR -0.125, -2^-3

Step-by-step explanation:

Answer:

Step-by-step explanation:

(4,3) and (6,9)

difference of x-coordinates = 6-4 = 2

difference of y-coordinates = 9-3 = 6

distance between points = √(2²+6²) = √40 = 2√10

Answer:

Y=X

Step-by-step explanation:

It depends on the context. No number besides 0 is given, so it can't really be the other ones with numbers.

Answer:

You'll be able to 12 & 6/10 of the bags

Step-by-step explanation:

The rounded version is 12 but since there is a decimal you'll then translate it into a fraction I got the answer I did by dividing 152 by 12 then getting the answer of 12.6666~ I translated the decimal into a fraction

Answer:

6/10 I believe :)

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

Hope this helps:)

Answer:

150 minutes

Step-by-step explanation:

P.S - The exact question is -

Given - This is the pond in a shape of a prism, it is completely full of

             water. Colin uses a pump to empty the pond. The level goes

             down by 20 cm in the first 30 min.

To find - Work put how many minutes Colin has to wait for the pond

               to completely empty.

Proof -

Given that,

Height of prism = 1 m

Also,

Base of the prism is trapezium and

Sides of the trapezium are 0.6 m and 1.4 m

Height of trapezium is 2 m

We know that,

Area of trapezium = [tex]\frac{1}{2}[/tex]× (sum of sides)× height

                             =  [tex]\frac{1}{2}[/tex]× (0.6 + 1.4)× 2

                             =  [tex]\frac{1}{2}[/tex]× (2)× 2

                             =  2 m²

⇒Area of trapezium = 2 m²

Now,

Volume of prism = Area of trapezium × height of prism

                          = 2 m² × 1 m

                          = 2 m³

⇒Volume of prism = 2 m³

Now,

Given that the level goes down by 20 cm in the first 30 min

We know

100 cm = 1 m

⇒1 cm = [tex]\frac{1}{100} m[/tex] = 0.01 m

⇒20 cm = 20×0.01 m = 0.2 m

⇒The level goes down by 0.2 m in the first 30 min.

Also,

we know that height of water = height of prism = 1 m

So, the remaining water left in the pond = 1 m - 0.2 m = 0.8 m

Also,

Volume of Remaining water = Area of trapezium × height

                                           = 2 m² × 0.8 m

                                           = 1.6 m³

⇒Volume of Remaining water = 1.6 m³

Now,

Volume of emptied water = Total Volume - Volume of Remaining water

                                       = 2 m³ - 1.6 m³

                                       = 0.4 m³

⇒Volume of emptied water = 0.4 m³

Now,

0.4 m³ water will be empty in 30 minutes

⇒ 1 m³ water will be empty in [tex]\frac{30}{0.4}[/tex] = 75 minutes

⇒1.6 m³ water will be empty in 1.6 × 75 = 120 minutes

∴ we get

The remaining water is empty in 120 minutes

So,

Total pond is empty in 120 + 30 minutes

⇒Total pond is empty in 150 minutes

Answer:

I think about 2 to 4 times. Sorry if it isn't helpful... O^O

Answer:

$5760

Step-by-step explanation:

Given data

Principal= $8,000

Tax= 28%

Let us compute 28% tax deduction

=28/100*8000

=0.28*8,000

=$2240

Hence the net expenses is

=8000 -2240

=$5760