Just got back to class after summer, brain needs some refreshing.

Answer:

[tex]3x+41[/tex] or 38

Step-by-step explanation:

If Q is the midpoint of Line PR, then lines PQ and QR add up to equal Line PR. We then get

[tex]PQ=6x+25\\QR=16-3x\\PQ+QR=PR\\6x+25+16-3x=PR\\3x+41=PR\\[/tex]

If you want to know the exact number that PR is, we can do additional steps where PQ = QR.

[tex]PQ=6x+25\\QR=16-3x\\PQ=QR\\6x+25=16-3x\\9x+25=16\\9x=-9\\x=-1\\\\3x+41=PR\\3(-1)+41=PR\\-3+41=PR\\38=PR\\PR=38[/tex]

Answer:

tw ni oe haso layo esma question sodnww aokos

Answer:30 times 3 times 5

Step-by-step explanation:

Answer:

Width = 2 m

Length = 13m

2(2) + 2(13)=4+26=30m

Step-by-step explanation:

Width: x

Length: 5x+3

2x + 2(5x+3) = 2x + 10x + 6)

12x + 6 = 30

12x = 24

X = 2

Width = 2

Length = 13

Answer:

Step-by-step explanation:

a) Number = x

Multiply it by 3 = 3*x = 3x

Now add 4 to it: 3x + 4

Equation:  

3x +4 = 22

b)

3x + 4 = 22

Subtract 4 from both sides

3x + 4 -4 = 22 - 4

        3x = 18

Divide both sides by 3

3x/3 = 18/3

x = 6

Answer:

Below in bold.

Step-by-step explanation:

The equation is

3x + 4 = 22

3x = 22 - 4 = 18

x = 18/3

x = 6.

Answer:[tex]a^5=\frac{4}{5}[/tex]

Step-by-step explanation:

The 5th term of the arithmetic sequence is 4/5

What is Arithmetic Progression?

An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"

The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is Tn = a + (n - 1) d, where Tₙ = nth term and a = first term. Here d = common difference = Tₙ - Tₙ₋₁

Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]

Given data ,

Let the arithmetic progression be represented as A

Now , the value of A is

A = 1/5 , 7/20 , 1/2 , 13/20 ....

Now , the first term of the arithmetic sequence is a₁ = 1/5

The second term a₂ = 7/20

The common difference d = second term - first term

So , the common difference d = 7/20 - 1/5

The value of d = 3/20

Now , the nth term of the AP is given by

Tn = a + (n - 1) d, where Tₙ = nth term

Substituting the values in the equation , we get

T₅ = ( 1/5 ) + ( 5 - 1 ) ( 3/20 )

On simplifying the equation , we get

T₅ = ( 1/5 ) + ( 4 x 3 ) / 20

T₅ = 1/5 + 12/20

T₅ = 16/20

T₅ = 4/5

Therefore , the value of T₅ is 4/5

Hence , the 5th term of the arithmetic sequence is 4/5

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Answer:

$159.09

Step-by-step explanation:

Math

Answer:

7/11

7/9

Step-by-step explanation:

7/11 = 35/55

5/8 = 35/56

Take the fraction eith smaller denominator

5/12 = 35/84

7/9 = 35/45

take the fraction eith the smaller denominator

Answer:

B (-1 , 0)

Step-by-step explanation:

0 <= -(-1) +3

0 <= 4

0 <= (-1)^2 - 3 (-1)

0<= 4

Answer:

You can buy 10 bulbs of elephant garlic

Step-by-step explanation:

Since each bulb of elephant garlic is 2.

1 x 2 = $2

That is the cost of 1 elephant garlic.

10 x 2 = $20

That is the cost of 10 elephant garlic.

Answer:

g(-3) = -3

Step-by-step explanation:

Plug in -3 everywhere that x is.

g(-3) = (2/3)(-3) - 1

g(-3) = (-6/3) - 1

g(-3) = -2 - 1

g(-3) = -3

Answer:

Option D is correct

Step-by-step explanation:

[tex]x - 6 = 8 \\ x = 8 + 6 \\ x = 14[/tex]

Answer:

Option D is correct

Step-by-step explanation:

[tex]x - 6 = 8 \\ x = 8 + 6 \\ x = 14[/tex]

Explanation:

The scale factor 3/2 is the same as 1.5

We multiply this by the perimeter 18 to get 18*1.5 = 27

The perimeter is 27 units.

This trick works because we're multiplying each length by 1.5, so ultimately the perimeter is multiplied by this same scale factor.

Answer: 1.5 miles per minute

Step-by-step explanation:

The ratio for the hours is 90 Miles : 60 Minutes

Since 1 hour is 60 minutes, then 1 minute is 1/60 of a hour.

So, 1/60 will be the constant.

[tex]\frac{90}{1/60}[/tex]=1.5

Answer:

No, It is not equal to a 60% discount.

Step-by-step explanation:

Think of this. I go into a store and everything is 50% off and I have a coupon myself that is a 50% off discount for a specific item. It may seem like the item is now free, but it isn't. Imagine the item was $1 before any discount. Then the store took 50% off of the $1, leaving it at $0.50. So now with my discount of 50% off the item I will be taking this 50% off of $0.50 = my final discounted cost of $0.25.

Hope I helped you understand :)

8k - 3 - 10

Solution,

= 8k - 3 - 10

= 8k - 13.

Answer:

8k - 13

Step-by-step explanation:

8k - 3 - 10

-(3 - 10) = -13

= 8k - 13

Answer:

61/24 is its simplest form! :)

Step-by-step explanation:

Answer:

sqrt 23,  180%, 1 2/7, (sqrt49)/7, pi-5

Step-by-step explanation:

sqrt 23 is between the integers 4 and 5 and closer to 5 and we can use these two reference points to base off the rest of our numbers

180% is essentially 180/100 which again is equal to 1.8 and is far less than sqrt 23s rough estimation of 4

1 2/7 is roughly 1.3 when they are made into decimal form and so that is rounded up and is closer to something around 1.28 but for our purposes, we shouldn't need to use this and 1.3 is just an easier number to work with.

sqrt49 is essentially a question asking what times itself becomes 49. That is 7 and 7/7 is just 1.

pi - 5 is like asking what is 3.14159 -5 and we dont even need to use this complex decimal. We can turn it to 3.5 rounding far up and still get a negative number which is far less than any other number on the list

Answer:

See THE IMAGE FOR SOLUTION

Answer:

3) Verify the following: (a) 48 = 48, TRUE (b) 230 = 230, TRUE

Step-by-step explanation:

3) Verify the following:

a. 16 [7 + (-4)] = [16 × 7] + [16 × (-4)]

= 16 [7 -4] = [112] + [16 × -4]

= 16 [3] = [112] + [-64]

= 48 = 112 - 64

= 48 = 48        

This is true because both sides are equal.

b. -23 × [(-8) + (-2)] = [(-23) × (-8)] + [(-23) × (-2)]

= -23 × [-8 - 2] = [-23 × -8] + [-23 × -2]

= -23 × [-10] = [184] + [46]

= -23 × -10 = 184 + 46

= 230 = 230

This is true because both sides are equal.

Answer:

a

Step-by-step explanation:

Answer:

Step-by-step explanation:

16.8% of 152 pounds is:

We have to find 16.8% of 152lbs

[tex]\\ \sf\longmapsto 152\times 16.8\%[/tex]

[tex]\\ \sf\longmapsto 152\times \dfrac{168}{100}[/tex]

[tex]\\ \sf\longmapsto \dfrac{2553}{100}[/tex]

[tex]\\ \sf\longmapsto 25.53lbs[/tex]

Answer:

x>-1.5

Step-by-step explanation:

Step-by-step explanation:

A={6,9,11},B=ϕ

Here, B is empty set.

Therefore,

A∪B

=A∪ϕ

={6,9,11}

A intersection ϕ is ϕ I guess

Answer:

use Alex formula okkkkkkkkkkkkkkkkkkkkkkkkkkk

Considering the given figure, the required answers to questions are as stated below:

The given figure has lines and angles which has some relations. The application of the principles in geometry is required to solve this question. So that the following can be deduced from the figure:

1) a. The possible ways are: AR, AD, RA, RD, DR, DA

  b. Sides of <ABC are: AB and BC

  c. The side that both <2 and <4 have in common is FD

  d. The horizontal ray is CFEA

  e. <BAD is an acute angle. So that <BAD ≅ [tex]60^{o}[/tex]

      <2 ≅ [tex]60^{o}[/tex]

      < ABC is an obtuse angle. So that <ABC ≅ [tex]120^{o}[/tex]

   f. <FCD and < DCE are the same in measure

    i.e <FCD = <DCE

  g. The angle in the figure that is <B is <D

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Answer:

46

Step-by-step explanation:

The sum of the two smaller angle measures is 98.

(2x + 6) + (3x - 8) = 98

Combine like terms.

5x - 2 = 98

5x = 100

x = 20

Plug this into the expressions for the two smaller angle measures.

2x + 6 = 2(20) + 6 = 46

3x - 8 = 3(20) - 8 = 52

The smaller of the two angles measures 46.

Answer: $31045.5

Step-by-step explanation:

First, you have to start by writing your equation. Start with letting p = the amount of product sold and d = dollars, or the amount of profit the CEO makes.

So, your equation should look like this:

d = the percentage the CEO earns (the profit of the company)

Profit is equal to the amount of gains minus the amount of losses. The amount of gains would be $855 times the number of products sold, and the losses per month are $6780 flat as shown in the problem. Finally, the percentage is 15%, as you're also told in the problem.

So now your equation looks like this:

d = 15% (855p - 6780)

OR

d = .15 (855p - 6780)

Now, you can substitute your 250 products sold in for p, and solve as shown below.

d = .15 (855(250) - 6780)

d = .15 (213750 - 6780)

d = .15 (206970)

d =  31045.5

Answer:

$31045.5

Step-by-step explanation:

We need to find the profit after selling the products first so

$855 × 250 = $213750

Then we need to subtract the expenses from the profit

$213750 - $6780 = $206970

Since the CEO get paid 15% of the total profit, we just need to take 15% of the above number

$206970 × 0.15 = $31045.5

Answer:

A is the answer of the power

Answer:

Step-by-step explanation:

Answer : #1= Answer:x=−4

#2=Answer:x=7