HEELP ASAP

1. Evaluate the following algebraic expression: 8h ÷ 12 when h=3

Answer: Lucy pays $ 492.58  back altogether.

Step-by-step explanation:

Formula : Interest = Principal x Rate x Time

Given: Principal  = $425  , rate = 5.3% = 0.053 , time = 3 years

Interest = 425 x 0.053 x 3 ≈ $ 67.58

Total amount need to pay back = Principal + Interest

= $ (425+67.58)

= $ 492.58

Hence, Lucy pays $ 492.58  back altogether.

Step-by-step explanation:

(4x-3)(3x+6)

4x(3x+6)-3(3x+6)

12x+24-9x-18

12x-9x+24-18

3x+6

x=6/3

x=2

Answer:

The other end of the line segment is at (-8, 3)

Step-by-step explanation:

Since we know one end point and the midpoint, all we need to do is take the vector from the end point to the midpoint, and add it again to the midpoint to find the other end point:

dx = -5 - (-2) = -3

dy = -1 - (-5) = 4

-5 + dx = -8

-1 + dx = 3

So the other end of the line segment is at (-8, 3)

If a segment has an endpoint at (-2, -5) and a midpoint at (-5, -1), the coordinates of the other endpoint are (-8, 3)

The midpoint of a line segment is given as:

[tex]a=\frac{x_1+x_2}{2} \\\\b=\frac{y_1+y_2}{2}[/tex]

One of the endpoints of the line segment is (-2, -5)

That is, [tex]x_1=-2, y_1=-5[/tex]

Let the coordinates of the other endpoint be [tex](x_2, y_2)[/tex]

Solving for [tex]x_1[/tex] and [tex]y_1[/tex] in  the equation:

[tex]a=\frac{x_1+x_2}{2} \\\\b=\frac{y_1+y_2}{2}[/tex]

[tex]-5=\frac{-2+x_2}{2} \\\\-2+x_2=-5(2)\\\\x_2=-10+2\\\\x_2=-8[/tex]

Solve for [tex]y_2[/tex]

[tex]b=\frac{y_1+y_2}{2} \\\\-1=\frac{-5+y_2}{2} \\\\-2=-5+y_2\\\\y_2=-2+5\\\\y_2=3[/tex]

The coordinates of the other endpoint are (-8, 3)

Learn more here: https://brainly.com/question/20696453

Answer:

B. Angle 5 and Angle 6 are complementary

Step-by-step explanation:

Definition of complementary- either of two angles who sum is 90°

As, Line AC and Line DB are perpendicular, Angle DO(the middle point)C is equal to 90°.

Angle DOC = 90°

Angle DOC = Angle 6 + Angle 5

Therefore, Angle 6 + Angle 5 are equal to 90°, so they are complementary.

Good luck!

Answer:

1,500

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

Answer:627.072

Step-by-step explanation:

Answer:

0.04

Step-by-step explanation:

Answer:

3/4 and 0.95 would both result in a reduction.

Step-by-step explanation:

multiplying by anything less than 1 will make it smaller which both 3/4 and 0.95 are smaller than 1.

Hey again!

The answers to your question are 3/4 and 0.95

A reduction is making it smaller, and since 3/4 and 0.95 are smaller than 1, they result in a reduction

Hope it helps! Also, how many questions do you have left?

Answer:

Step-by-step explanation:

here is an example in the shown file

Answer:

y= -3x+1

Step-by-step explanation:

Answer: 1) y=1/3x-1

2) y=-2/5x+0

3) y=1x+8

4) y=-3/6x+3

5) y=5/2x+1

6) y=-8/2x-5

7) y=1x+2

8) y=-2/3x-4

9) y=6/5x

Step-by-step explanation: For the graph: if the line is pointing to the right Mx from the equation Y=Mx+B it’s going to be POSITIVE for example: Y=7x+4 If it’s pointing to the left it’s NEGATIVE for example: Y=-6x+2. If want to know the Y-INTERCEPT = B you have to find the point that is connected to the (0,0) on the graph

Answer:

81,00000000

Step-by-step explanation:

Hope this Helps! :)

Answer: He was given 50 for his birthday

Answer:

It's b

Step-by-step explanation:

This was the first answer I gave. So I am going with it.

Answer:

12.60.

Step-by-step explanation:

12.00 × 5%=.6

,6 + 12.00= 12.60

Answer:

(-5*m)-(-5*2)

Step-by-step explanation:

Here, we want to use the distributivity property to evaluate the expression

We have this as;

(-5*m)-(-5*2)

9514 1404 393

Answer:

  v(t) = 30000×0.82^t . . . value in dollars after t years

  v(10) ≈ 4123 . . . . dollars

Step-by-step explanation:

The general form of the decay model is ...

  f(t) = f(0)×(1 -decay rate)^time

where the decay rate is a fraction between 0 and 1, and the time is expressed in the same time units as the decay rate. The multiplier f(0) is the initial value that is decaying.

In this problem, the initial value is $30,000 and the decay rate is 18% per year. So, we can write a function v(t), where v is the car's value in dollars, and t is the number of years after it starts depreciating.

  v(t) = 30,000×(1 -0.18)^t

  v(t) = 30,000×0.82^t

__

The car's value in 10 years is ...

  v(t) = 30,000×0.82^10 ≈ 4123.44

The value of the car after 10 years is about $4,123.

ANSWER:

2.) There are 5 students absent on day 3 because the dot is in the line of 5 in day 3.

3.) The 2 day is the greatest number of students absent beacause on that 2 day, 10 students were absent

I obviously know this is the answer

Answer:

66and2/3 gallons of 26% and 33and1/3 of 14%

Step-by-step explanation:

x is the gallons of 26% green dye and y is the gallons of tve 14% one. we know that the totall gallons of dye in the ens are 100=>x+y=100=>x=100-y. 26%*x+14%*y=22%*100

13/50*x+7/50*(100-x)=22 6/50x+14=22 6×=400 x=200/3=66and2/3 =>y=100-200/3=100/3=33and1/3

Answer:

3 1/2 is the closest

Step-by-step explanation:

Theres 3 that are full and 2/5

Answer:

its 3 1/2 or c

Step-by-step explanation:

Answer:

[tex] {6x}^{3} + {9x}^{2} - 18x + 3[/tex]

Step-by-step explanation:

1. Expand by distributing sum groups.[tex]3x( {2x}^{2} + 5x - 1) - 3( {2x}^{2} + 5x - 1)[/tex]

2. Expand by distributing terms.

[tex] {6x}^{3} + {15x}^{2} - 3x - 3( {2x}^{2} + 5x - 1)[/tex]

3.Expand by distributing terms.

[tex] {6x}^{3} + {15x}^{2} - 3x - ( {6x}^{2} + 15x - 3)[/tex]

4. Remove parentheses.

[tex] {6x}^{3} + {15x}^{2} - 3x - {6x}^{2} - 15x + 3[/tex]

5. Collect like terms.

[tex] {6x}^{3} + {15x}^{2} - {6x}^{2} ) + ( - 3x - 15x) + 3[/tex]

6. Simplify.

[tex] {6x}^{3} + {9x}^{2} - 18x + 3[/tex]

Thus. the answer is,

[tex] {6x}^{3} + {9x}^{2} - 18x + 3[/tex]

Answer:

The production cost is Rs 12,500

Step-by-step explanation:

Let the production cost be $x

At any point in time

sales price = cost price +( profit percentage* cost price)

Manufacturer gaining 6%

That would be;

x + 6% of x

x + 0.06x

= 1.06x

Wholesaler gaining 8%

= 1.06x + 8% of 1.06x

1.06x + 0.08(1.06x)

= 1.06x + 0.0848x

= 1.1448x

The for the retailer

= 1.1448x + 10% of 1.1448x

= 1.1448x + 0.11448x

= 1.25928x

1.25928x = 15,741

x = 15,741/1.25928

x = 12,500

Answer:

2.07 miles

Step-by-step explanation:

If Heather runs 3/3 of a lap around course. Steph runs 3/9 of a lap around the race course, the difference in the distance run by Heather and Steph is 3/3 - 3/9 = 1 - 1/3 = 2/3

Since a 5k run race is 3.1 miles, Heather goes 2/3 × 3.1 miles = 6.2/3 miles = 2.07 miles more than Steph.

Answer:

i think 7

Step-by-step explanation:

Answer

is there it a multiple choice or just a word problem

Step-by-step explanation:

Answer:

[tex]\sin \alpha = \frac{5}{13}[/tex], [tex]\cos \alpha = \frac{12}{13}[/tex], [tex]\tan \alpha = \frac{5}{12}[/tex], [tex]\cot \alpha = \frac{12}{5}[/tex], [tex]\sec \alpha = \frac{13}{12}[/tex], [tex]\csc \alpha = \frac{13}{5}[/tex]

Step-by-step explanation:

The angle [tex]\alpha[/tex] is the angle opposite to the side of length 5 and adjacent to the side of length 12. From Trigonometry we remember the following relationships:

[tex]\sin \alpha = \frac{5}{\sqrt{5^{2}+12^{2}}}[/tex]

[tex]\sin \alpha = \frac{5}{13}[/tex]

[tex]\cos \alpha = \frac{12}{\sqrt{5^{2}+12^{2}}}[/tex]

[tex]\cos \alpha = \frac{12}{13}[/tex]

[tex]\tan \alpha = \frac{5}{12}[/tex]

[tex]\cot \alpha = \frac{12}{5}[/tex]

[tex]\sec \alpha = \frac{\sqrt{5^{2}+12^{2}}}{12}[/tex]

[tex]\sec \alpha = \frac{13}{12}[/tex]

[tex]\csc \alpha = \frac{\sqrt{5^{2}+12^{2}}}{5}[/tex]

[tex]\csc \alpha = \frac{13}{5}[/tex]