An expression equivalent to (-11b+15)-3(-23b+17)?

Answer:

Cyclist A lives farther from the Orchard

Step-by-step explanation:

Given

[tex]A(x) =48.5 -21x[/tex]

[tex]B(x) =42 -16.8x[/tex]

Required:

Who lives farther from the Orchard.

To do this, we simply calculate the y intercept.

This represents the total distance traveled to get to the Orchard

To calculate y intercept, we set [tex]x = 0[/tex]

So:

[tex]A(x) =48.5 -21x[/tex]

[tex]A(0) = 48.5-21*0 =48.5-0 =48.5[/tex]

[tex]B(x) =42 -16.8x[/tex]

[tex]B(0) = 42 - 16.8*0 =42-0 =42[/tex]

From the above computation:

[tex]A(0) > B(0) \to 48.5 > 42[/tex]

Hence;

Cyclist A lives farther from the Orchard

Answer:

A.

Step-by-step explanation:

( 5,0)

When x axises is a reflection in the y axis

Answer:

Part I: How many of the bond's periods were there in 1 year?

2 periods.

Part II: What was the periodic interest rate of the bond?

2.6%

Part III: How much did the bond earn per period?

$26

Part IV: For how many periods did Julie hold the bond?

30 periods

Part V: What were Julie's total earnings on the bond?

$1560

Answer:

5

Step-by-step explanation:

1 ÷ 1/5= 1 x 5/1 =5

I hope im right!!

Answer:

33

Step-by-step explanation:

Rewrite the bottom expression:

-2a-2b-2c-3x-3y

Factor the expression into two parts:

-2(a+b+c) + -3(x+y)

Substitute -3 for a+b+c and -9 for x+y:

-2(-3) + -3(-9)

6 + 27

33

Therefore, your final answer is 33

Answer:

Step-by-step explanation:

Equation of a circle:

Given equation:

Rewrite as:

The center is (2, 0)

The radius is r = 4

Correct choice is D

General equation

Where centre is (h,k)

radius is r

Radius=4

centre (2,0)

Answer:

-9n - 3

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

∡BDC = ∡ABD

ΔDBC = 20 + 5x - 2 + 112

180 = 20 + 5x - 2 + 112

180 = 5x + 130

50 = 5x

10 = x

Answer:

b) 43 degrees

Step-by-step explanation:

Answer:

Choice B

Step-by-step explanation:

The bottom right angle is 80° since thats the value of its complement

Subtract 180-123 to get the complement of the bottom left and the value of the bottom left, 57°

Since all the interior angles in a triangle will add up to 180° add 57 and 80 to get 137 then subtract 137 to get the value of x, 43.

Answer: I only got 3 of them

Lim (x->9) = - 1/52

Lim (x->6) =1/98

Lim(x->7) =-31

Step-by-step explanation:

Answer:

This was the correct answer on Edmentum.

Step-by-step explanation:

Answer:

120 inches

Step-by-step explanation:

the first box on the bottom is 72 because 12 x 2 x 3 is 72 and the bottom on is 48 because 2 x 4 x 6 is 48. then add 72 plus 48 and it gives you 120 inches.

Answer:

144

Step-by-step explanation:

It rotates out of 360 degrees, and since it is a pentagon that rotates from two of its vertices, then 360/5 would give us the amount it is rotating from one vertice. So 72. Then multiply it by two because you are moving from e to b.

144

Answer:

The dimensions that give the minimum surface area are:

Length = 14cm

width = 14cm

height = 14cm

And the minimum surface is:

S = 1,176 cm^2

Step-by-step explanation:

A regular rectangular prism has the measures: length L, width W and height H.

The volume of this prism is:

V = L*W*H

The surface of this prism is:

S = 2*(L*W + H*L + H*W)

If the base of the prism is a square, then we have L = W

Then the equations become:

V = L*L*H = L^2*H

S = 2*(L^2 + 2*H*L)

We know that the volume of the figure is 2744 cm^3

Then:

V = 2744 cm^3 = H*(L^2)

In this equation, we can isolate H.

H = (2744 cm^3)/(L^2)

Now we can replace this on the surface equation:

S = 2*(L^2 + 2*L* (2744 cm^3)/(L^2))

S = 2*L^2 + 4(2744 cm^3)/L

Now we want to minimize the surface area, then we need to find the zeros of the first derivative of S.

S' = 2*(2*L) - 4*(2744 cm^3)/L^2

This is equal to zero when:

0 = 2*(2*L) - 4*(2744 cm^3)/L^2

0 = 4*L*L^2 - 4*(2744 cm^3)

4*(2744 cm^3) = 4*L^3

2744 cm^3 = L^3

∛(2744 cm^3) = L = 14cm

Then the length of the base that minimizes the surface is L = 14.

Then we have:

H = (2744 cm^3)/(L^2) = (2744 cm^3)/(14cm)^2 = 14cm

Then the surface is:

S = 2*(L^2 + 2*L*H) = 2*( (14cm)^2 + 2*(14cm)*(14cm)) = 1,176 cm^2

Answer:

$582.75

Step-by-step explanation:

I just multiplied $9.25 by 63 (The cost of one student admission ticket times the amount of students) to get the total cost.

Hope this helps!

Answer:

Big number

Step-by-step explanation:

Answer:

Therefore he can go inside because 55 inches is taller than 54 inches.

Step-by-step explanation:

1 feet = 12 inches

His height is 4 feet and 4 inches

4 feet and 4 inches means

= 4*12+ 4    

Converting feet into inches

=48+4= 52 inches

His height was 52 inches.

He has grown 3 inches

His new height is 52+3 = 55 inches

Therefore he can go inside because 55 inches is taller than 54 inches.

Answer: [tex]770,000[/tex]

Step-by-step explanation:

Given

The present population of bacteria is [tex]1,92,500[/tex]

It doubles in every 238 minutes

So, after 238 minutes it is

[tex]\Rightarrow 192,500\times 2=385000[/tex]

After another 238 minutes i.e. 476 minutes from starting, they becomes

[tex]\Rightarrow 385000\times 2=770,000[/tex]

Answer:

4 1/2

Step-by-step explanation:

Mrs. Peele has 11 1/4 pounds of cookie dough. A batch of cookies requires 2 1/2 pounds of cookie dough. How many batches of cookies can Mrs. Peele make?

Number of batches = total pounds of Dough Mrs Peele has / total dough required to make one batch

11 1/4 ÷ 2 1/2

convert the mixed fractions to improper fraction

to convert to improper fraction, take the following steps :  

1. Multiply the whole number  by the denominator

2. Add the numerator to the answer gotten in the previous step

3. divide the number gotten in the previous step by the denominator  

45/ 4  ÷ 5/2

45 / 4 x 2/5 = 9/2 = 4 1/2

The answer is -5/2, hope this helps you!

Answer:

1.014e+6

Step-by-step explanation:

can't explain, I would if I could

Answer:

1,013,760 Feet

Step-by-step explanation:

A mile is equal to 5,280 feet

Give me Brainllest plz

Answer:

s = 24.05

Step-by-step explanation:

Given

v² = u² + 2gs ← substitute v = 25, u = 12, g = 10

25² = 12² + (2 × 10 × s)

625 = 144 + 20s ( subtract 144 from both sides )

481 = 20s ( divide both sides by 20 )

24.05 = s

Answer:

2x+4y=22

-2x+2y=+8

6y=30

y=5

now

replace the value of y in equ i

2x +4y =22

2x+20=22

x=1

Answer: x = 1 y= 5

Step-by-step explanation:

2x + 4y = 22 -

2x - 2y = -8

--------------------

0+6y = 30

Y= 30/6= 5

Substituting,

2x+ 4*5= 22

2x+ 20 = 22

2x= 22-20 = 2

X=2/2=1

Answer:

Hello! Your answer would be, 199.

Step-by-step explanation:

Hope I helped! Brainiest plz!♥ Have a nice morning! Hope you make a 100%! -Abby

Answer:

38.33

Step-by-step explanation:

Given: Total amount = 120, Amount used = 74

To find: percent that was not spent

Solution: Firstly, find how much is 74 out of 120. To find the percentage of a number when it is in decimal form, you just need to multiply the decimal number by 100. For this case, to convert 74 to a percentage, 74 x 100 = ...61.67%

Then, 100% - 61.67 = 38.33

Answer:

Step-by-step explanation:

Build a formula that allows you to calculate the money collected on a bus based on the tickets sold, knowing that each one costs 1.2 euros. Can you join the dots.

Spanish

Answer:

Direction of travel.

Step-by-step explanation:

Given that two vehicles traveled 200 km in 3 hours ;

Distance apart after 3 hours = 400 km

A logical solution to this final distance between the two cars can be explained by their direction of travel.

Since the Cars both covered the same distance over the same period of time, the both cars must have started from a common point and traveled in opposite direction.

Meaning ;

Car 1 traveled 200 km in a certain direction

Car 2 traveled 200km in the opposite direction

Hence, distance between the cars will be :

Distance covered by car 1 + distance covered by car 2

200km + 200km = 400km

Answer:

Step-by-step explanation:

A)

3x+1

B)

2Cos(2x-1)