Write an equation in Standard Form for each story below.
1: Ming sold 2 boxes of grapefruit and 5 boxes of oranges for $103.

Answer:

180-118= 62

Answer is angle E= 62

Step-by-step explanation:

Vertical opposite angle of 118 is 118

So, we found out the interior angle. And sum of interior angles is 180. So you subtract 118 from 180 to get angle E.

Hope this helps!!!

Answer:

E is 62

Step-by-step explanation:

First find any angle relationships with the angle 118.

You can see that 118 can go next to E (corresponding angles).

That is a straight line, so in total it will 180 degrees.

180-118 would be E.

180-118 is 62.

hope this helps! :)

Answer:

70pi cm^2

Step-by-step explanation:

The total surface area of a cone is given by its curved surface area plus its base.

The base area would be

[tex]\pi {r}^{2} [/tex]

so the base area is 25pi cm^2.

The curved surface area is given by

[tex]\pi rl[/tex]

which is pi times 5 times 9 i.e. 45pi cm^2.

The total surface area would therefore be 70pi cm^2, by adding them up together.

Answer:

sdfshefvhwedsbdhcfbHISE

Step-by-step explanation:

FSDSd

Answer:

you just changfe it as u switch it

Step-by-step explanation:

Answer:

(3,2)

Step-by-step explanation:

Right now point A is at the coordinates (3,2)

When you reflect the shape at line x = 3, point A is at the same x-axis, in which your supposed to reflect it on.

So when you reflect the shape, point A wont move, it will stay in the same colinear and coplanar plane which is (3,2)  

Answer:

8/7 left, Hope i helped :)

Step-by-step explanation:

Answer:

yyyyyyyyyyyyyyyyyyyyyyyyyyyuujuuju

Step-by-step explanation:

HI dude was good

Answer:

790 m^2

Step-by-step explanation:

well in the figure we have to areas

the rectangle of the side

well the area of the rectangle is base times height

we have a base of 11 and a height of 17

[tex]A_{rs}=11*17\\\\A_{rs}=187[/tex]

the triangle

well the area of a triangle is base times height over 2

we have a base of 16 and a height of 15

[tex]A_t = \frac{16\cdot 15}{2}\\\\A_t= 8\cdot15\\\\A_t=120[/tex]

the rectangle of the base

we have a base of 16 and a height of 11

so

[tex]A_{rb} = 16\cdot 11\\\\A_{rb} = 176[/tex]

so the total area is

[tex]A_T = 2(A_{rs})+2(A_{t})+1(A_{rb})\\\\A_T= 2(187)+2(120)+1(176)\\\\A_T=374+240+176\\\\A_T = 790[/tex]

so that's our answer the surface area is 790 m^2

Answer:

The mid-point between the endpoints (10,5) and (6,9) is:

Step-by-step explanation:

Let (x, y) be the mid-point

Given the points

Using the formula to find the mid-point between the endpoints (10,5) and (6,9)

[tex]\left(x,\:y\right)=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]

Here:

[tex]\left(x_1,\:y_1\right)=\left(10,\:5\right),\:\left(x_2,\:y_2\right)=\left(6,\:9\right)[/tex]

Thus,

[tex]\left(x,\:y\right)=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]

[tex]\left(x,\:y\right)=\left(\frac{6+10}{2},\:\frac{9+5}{2}\right)[/tex]

[tex]\left(x,\:y\right)=\left(8,\:7\right)[/tex]

Therefore, the mid-point between the endpoints (10,5) and (6,9) is:

Answer:

2,469,552

Step-by-step explanation:

Answer:

[tex]x = \frac{1}{5}y + 2[/tex]     or       [tex]x = \frac{y+10}{5}[/tex]     (Not sure which one is preferred in your case)

Step-by-step explanation:

Key skills needed: Evaluating expressions

1) We are given: [tex]y = 5x-10[/tex]

2) To solve for the x variable, we want to leave the term with "x" by itself.

This means we add 10 to both sides

--> [tex]y + 10 = 5x[/tex] (Since -10 and +10 cancel out to make 0 or nothing)

3) Then we divide by 5 on both sides to get "x" completely by itself.

-----> [tex]\frac{y+10}{5} = x[/tex]

4) You can keep it as is so --> [tex]x = \frac{y + 10}{5}[/tex]

or you can divide "y" by 5 and "10" by 5 and get --> [tex]x = \frac{1}{5} y + 2[/tex]

(I am not sure which form is preferred one is preferred as the teacher matters)

Hope you understood and have a nice day!!

Step-by-step explanation:

Solving for the surface area of the cube:

2² (5 faces) = 20 ft²

Solvig for the surface area of the pyramid:

0.5 (2ft) (3ft) (4 faces) = 12 ft²

Total surface area = 20 + 12 = 32 ft²

Answer:

B) The probability that the arrow will point to blue is more than 1/4

Step-by-step explanation:

The blue area makes up 1/3 of the pie chart, and 1/3 > 1/4

Answer:

Step-by-step explanation:

Part A

x^2 + y^2 = 30^2

I don't know if this is right or not. That would mean that the roller coaster has no clearance and at the lowest point, it would scrape the ground (although not enough to dig a hole).

Part B

y^2 = 900 - x^2

y = sqrt(900 - x^2)

Part C

The graph is actually y = - sqrt(900 - x^2)

That's the only model I can come up with

The wording of the question does not allow for the condition that you want. (0,0) is not the center of the graph the way they want it. See the second graph).

Perhaps it means graph15b. I can't really tell.

Answer:

don't know

.....................

Answer:

x = 12

Step-by-step explanation:

Consider three orthogonal triangles (see picture)

1. The smallest triangle

2. The medium triangle

3. The big triangle that holds both triangles.

All are orthogonal (or right triangles) so you can use Pythagoras Theorem:

"The area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides"

Use Pythagoras theorem on triangle 1.

[tex]a^{2} = 3^{2} + 6^{2} = 45[/tex]

Now user Pythagoras on triangle 2.

[tex]b^{2} = x^{2} + 6^{2} = x^{2} + 36[/tex]

Now use Pythagoras on triangle 3 (the big triangle).

[tex](3 + x )^{2} = a^{2} + b^{2}\\x^{2} + 6x + 9 = a^{2} + b^{2}[/tex]

Now replace the values for [tex]a^{2}[/tex] and [tex]b^{2}[/tex] from the two equations derived from triangle 1 and 2:

[tex]x^{2} + 6x + 9 = 45 + x^{2} + 36[/tex]

The two [tex]x^{2}[/tex] get cancelled out, so:

[tex]6x + 9 = 45 + 36\\x = 12[/tex]

TA DA!

Answer: -19 i think

Step-by-step explanation:

======================================================

Explanation:

There are 8+11 = 19 movies that are either horror or mystery.

This is out of 9+12+8+11+4 = 44 movies total.

Divide the two sums to get 19/44 = 0.43181818181818 approximately.

This rounds to 0.432

There's roughly a 43.2% chance of picking a horror or mystery movie.

Answer:

453/ 2 = 226.5 rounds to 227

672/ 5 = 134.4 rounds to 134

1,294/ 4 = 323.5 rounds to 326

Step-by-step explanation:

Answer:

3b

Step-by-step explanation:

(2x+4)*3=b*3

6x+12=3b

That is what i learned from school, hopes this helps

9514 1404 393

Answer:

  (a)  see below

Step-by-step explanation:

The graph that has no two points one above the other is the graph of a function. That is the first of your attachments.

Answer:

x = 200 students

y = 300 non-students

hope that helps

Answer:

49097

Step-by-step explanation:

Well the answer was in delta math what can I say

Answer:

$49677.4

Step-by-step explanation:

Given data

Interest rate r= 5%

Final amount A = $77,000

time t= 9 years

let us apply the compound interest formula

[tex]A=P(1+r)^t[/tex]

Substitute

[tex]77000=P(1+0.05)^9\\\\77000=P(1.05)^9\\\\77000=P*1.55[/tex]

Divide both sides by 1.55

P=77000/1.55

P=$49677.4

Hence the principal amount should be $49677.4

Answer:

Point A is located at the origin because to origin is (0,0)

Step-by-step explanation:

Answer

A because the origin is at 0,0 and point A is at 0,0

Step-by-step explanation:

A is answer is 0,0.On the flat coordinate plane, there are two axes, the vertical y-axis and the horizontal x-axis. The origin is the point where they intersect.

-Hope this helped

Answer:

Standard complex form 3/13 + 11/13i

Step-by-step explanation:

not sure  if this helps

Answer:

Each large box weighs 15.25 kg, and each small box weighs 6.25kg

Step-by-step explanation:

Let's define the variables:

A = weight of a large box.

B = weight of a small box.

We know that:

"A delivery of 5 large boxes and 3 small boxes has a total weight of 95 kilograms."

We can write this as:

5*A + 3*B = 95 kg

We also know that:

"A delivery of 2 large boxes and 6 small boxes has a total weight of 68 kilograms."

2*A + 6*B = 68kg

Then we have the system of equations:

5*A + 3*B = 95 kg

2*A + 6*B = 68kg

To solve this, the first step is to isolate one of the variables in one of the equations.

I will isolate the variable A in the second equation:

A = 68kg/2 - 6*B/2 = 34kg - 3*B

A = 34kg - 3*B

Now we can replace this in the first equation:

5*( 34kg - 3*B) + 3*B = 95 kg

170kg - 15*B + 3*B = 95 kg

170kg - 12*B = 95 kg

170kg - 95kg = 12*B

75kg = 12*B

75kg/12 = B = 6.25kg.

Now we can replace this on the equation A = 34kg - 3*B to find the value of A.

A = 34kg -3*6.25kg = 15.25kg

Answer: (6,8)

Step-by-step explanation:

Answer:

(6,8)

Step-by-step explanation:

Answer:

[tex] |x - 12| + 6 = 56 \\ x - 12 + 6 = 56 \\ x - 6 = 56 \\ \boxed{x = 62} \\ |x - 12| + 6 = 56 \\ - (x - 12) + 6 = 56 \\ 12 - x + 6 = 56 \\ - x + 18 = 56 \\ - x = 38 \\ \boxed{x = - 38} \\ \boxed{A. \: x = 62 \: or \: x = - 38}[/tex]