Simplify. (4w + 3) – 2w + 7

Answer:

$47,600

Step-by-step explanation:

Net income = total revenue - total expenses

NI= 68000 - (30)(680)

NI=68000-20400

NI=47600

Answer:

66 feet

Step-by-step explanation:

diameter = 21 feet

circumference of circle = 2πr or πd

circumference of swimming pool = 22/7 * 21

                                                       = 22 * 3

                                                       = 66 feet

Hope this year is useful!!

Answer: There are 22.2 pounds of water in the bag.

Step-by-step explanation:

Hi, to answer this question we simply have to multiply the total weight of the bag by the water percentage in decimal form (divided by 100).

Mathematically speaking:

30 x (74/100) = 30 x 0.74 =22.2 pounds

There are 22.2 pounds of water in the bag.

Feel free to ask for more if needed or if you did not understand something.

Answer:

22.2

Step-by-step explanation:

20,25,30,30,31,40,41,49

median=30.5

Q¹= 27.5

Q³=40.5

40.5-27.5= 13 IQR = 13

Answer:

-The measure of [tex]\angle A[/tex] :

[tex]\angle A = 144\textdegree[/tex]

-The measure of [tex]\angle B[/tex] (if needed):

[tex]\angle B = 144\textdegree[/tex]

Step-by-step explanation:

-Set the measure of [tex]\angle A[/tex] on one side and set the measure of [tex]\angle B[/tex] on the other side and it will be written as:

[tex]10x + 24 = 6x + 72[/tex]

-Then, solve for [tex]x[/tex] :

[tex]10x + 24 = 6x + 72[/tex]

[tex]10x + 24 - 6x = 6x - 6x + 72[/tex]

[tex]4x + 24 = 72[/tex]

[tex]4x + 24 - 24 = 72 - 24[/tex]

[tex]4x = 48[/tex]

[tex]\frac{4x}{4} = \frac{48}{4}[/tex]

[tex]x = 12[/tex]

-After you have found the value of [tex]x[/tex], plug in both the measure of [tex]\angle A[/tex] and [tex]\angle B[/tex] in order to get the actual angle measurement of [tex]\angle A[/tex] and [tex]\angle B[/tex] :

Finding the measure of [tex]\angle A[/tex] :

[tex]\angle A = 10(12) + 24[/tex]

[tex]\angle A = 120 + 24[/tex]

[tex]\angle A = 144\textdegree[/tex]

Finding the measure of [tex]\angle B[/tex] :

[tex]\angle B = 6(12) + 72[/tex]

[tex]\angle B = 72 + 72[/tex]

[tex]\angle B = 144\textdegree[/tex]

-Notice: That reason why both [tex]\angle A[/tex] and [tex]\angle B[/tex] have the same measurements, its because they are Alternate Exterior Angles, based on the diagram shown.

Answer:

It's the second and third one!!

Step-by-step explanation:

Answer:

1 and 3

Step-by-step explanation:

Answer:No

Step-by-step explanation:The side lengths do not make a right triangle, so it can't be tangent.

Answer:

Step-by-step explanation:

The diameter of the circle is the distance from the endpoint to another endpoint. The diameter of the given circle is segment PQ. To determine the diameter of the circle, we would apply the formula for determining the distance between two points on a straight line is expressed as

Distance = √(x2 - x1)² + (y2 - y1)²

Therefore,

Diameter = √(1 - - 3)² + (9 - 5)²

Diameter = √4² + 4² = √32

Radius = diameter/2 = √32/2

A circle is the set of all points in a plane equidistant from a fixed point called the origin or center.

The center of the circle is determined by applying the midpoint formula

(x1 + x2)/2, (y1 + y2)/2

= (- 3 + 1)/2, (5 + 9)/2

Center = (- 1, 7)

The formula for determining the equation of a circle us expressed as

(x - h)² + (y - k)² = r²

Where

r represents the radius of the circle

h and k represents the x and y coordinates of the center of the circle. Comparing with the given points,

h = - 1 and k = 7

Substituting into the formula, it becomes

(x - h)² + (y - k)² = r²

(x - - 1)² + (y - 7)² = (√32/2)²

(x + 1)² + (y - 7)² = 32/4

(x + 1)² + (y - 7)² = 8

Answer:

8 in

Step-by-step explanation:

The formula to find the volume of a rectangular prism is l · w · h.

l = ?

w =  6 in

h = 5 in

We know the volume of the following figure is equal to 240 and so we can set up an equation where we solve for l (length).

l · 6 · 5 = 240

To get l by itself, you divide 240 by 6 and then by 5 to get your answer.

l = 8

We can check our work here by multiplying 8 · 6 · 5 which gives us the correct 240.

Answer:

½

Step-by-step explanation:

The probabliliry of picking a misprint is gotten by dividing the number of misprints by the total number of pages in the manuscript.

There are 200 randomly placed misprints in the 400 page manuscript.

Therefore, the probability of picking a misprint is:

200 / 400 = ½

Answer:

[tex]\frac{25}{215x+14y+3}[/tex]

Step-by-step explanation:

When 25 218 x+2y-3x+12y+3) is simplified, what is the resulting expression? 1 17 / 3x + 27 3y + 6 Pox+2y+6 10x + 8 - 3y + 6 1 x 4Y+3.

[tex]\frac{25}{215x+14y+3}[/tex]

Answer:

I think she walks 14 blocks to get to her office and 4 blocks to reach the hospital. I had this question too and i figured it out

Step-by-step explanation:

hope this helped :3 have a nice day!! :) :)

Answer:

14 block , 4 block

Step-by-step explanation:

Answer:

6.50

Step-by-step explanation:

15.75-9.25=6.5

We have been given that a particular type of cell increases by 75% in number every hour. We are asked to find the number of cells present at the end of 12 hours if there are initially 4 of these cells.

We will use exponential growth formula to solve our given problem.

[tex]y=a\cdot (1+r)^x[/tex], where,

y = Final amount,

a = Initial amount,

r = Growth rate in decimal form,

x = Time.

[tex]75\%=\frac{75}{100}=0.75[/tex]

Upon substituting initial value [tex]a=4[/tex] and [tex]x=12[/tex] in above formula, we will get:

[tex]y=4\cdot (1+0.75)^{12}[/tex]

[tex]y=4\cdot (1.75)^{12}[/tex]

[tex]y=4\cdot 825.0050068497657776[/tex]

[tex]y=3300.020027[/tex]

[tex]y\approx 3300[/tex]

Therefore, there will be approximately 3300 cells at the end of 12 hours.

Answer: 4/8

Step-by-step explanation:

Answer:

y = 63

Step-by-step explanation:

The sum of the angles of a triangle is 180

54+y+y = 180

Combine like terms

2y+54 = 180

Subtract 54 from each side

2y+54-54= 180-54

2y =126

Divide each side by 2

2y/2 = 126/2

y =63

Answer:

A. 63 degrees

Step-by-step explanation:

All angles added together would equal 180. We have two angles that equal y and a third that has 54. Our first step:

180-54=126

Both of the y angles equal 126. We want a separate value though, so we divide this by two.

126/2=63

Thus, A is our answer

Answer:

Step-by-step explanation:

16

The correct option is Option D: The distance between A and B is 6 units.

The number line infinitely extended straight line where the integers are pointed by the distance of 1 unit.

The distance between two points x and y on the number line will be = y-x

Here given in the question, A and B are two points given in the number line.

A has a position on -5.

and B has the position on 1.

We have to calculate the distance between these two points using the above formula

The distance between A and B is = B-A = 1-(-5)= 1 + 5= 6 units

Therefore the correct option is Option D: The distance between A and B is 6 units.

Learn more about the number line

here: https://brainly.com/question/24644930

#SPJ2

Here the question was incomplete. Below you will find the missing content/ graph/ options.

What is the distance between points A and B?

What is the distance between points A and B?-6 units

What is the distance between points A and B?-6 units- 1 unit

What is the distance between points A and B?-6 units- 1 unit5 units

What is the distance between points A and B?-6 units- 1 unit5 units6 units

What is the distance between points A and B?-6 units- 1 unit5 units6 unitsThe missing picture is attached below.

Answer:

25,000,000

Step-by-step explanation:

Hope this helps!!!

Answer:

35b+56

Step-by-step explanation:

First, split the equation.

To do this, take 5b and 8, and make each of those their own little parentheses. Those would both be multiplied by 7.

7(5b) + 7(8)

Multiply out.

35b + 56

Answer:

B

Step-by-step explanation:

a table must have 108 blue shirts in total and 96 green shirts

first you add them to find out if the blue shirts have 108

you also need to make sure if green has 96 shirts too

i hope this was helpful

Answer:

i cant see the answers but i did the math is 60/156 there

Step-by-step explanation:

Answer:

8 units

Step-by-step explanation:

Hello!

So, there's a formula we can apply to right-angled triangles: Pythagorean's theorem. It states that  c = [tex]\sqrt{{a}^2 + b^{2} }[/tex], where c is the hypotenuse and a and b are the legs of the triangle.

So, from the problem,  if c = 17 and a = 15, then, we're solving for b. So we'll rewrite the theorem to solve for b.

[tex]{c}^2 = {a}^2+{b}^2\\{c}^2-{a}^2={b}^2\\{b} = \sqrt{{c}^2-{a}^2}[/tex]

Okay, so now we have isolated the theorem for b. Let's plug in our values for c and a.

[tex]b = \sqrt{{17}^2-{15}^2}\\b = \sqrt{289-225}\\b = \sqrt{64}\\b = 8[/tex]

So, using the theorem, we found b = 8. To check our work, let's plug in b and a and solve for c.

[tex]c = \sqrt{{a}^2+{b}^2}}\\c = \sqrt{{15}^2+{8}^2}\\c = \sqrt{225+64}\\c = \sqrt{289}\\c = 17\\[/tex]

So, we got our hypotenuse to equal 17 units, which is correct! So, our b is correct too. Awesome

Answer:

2340 boxes

Step-by-step explanation:

to find out how many boxes or cans fit there u need to know the volume of the box and the cans or boxes

v= l*w*h

v= volume

l=length

w=width

h=height

first lets find the volume of one can or box of fish food

the length, the width, and the height are the same which is 1/4, so cube 1/4 or 1/4*1/4*1/4

1/4*1/4*1/4= 1/16 *1/4= 1/64

Now u have to find the volume of the shipping box, so the length is 3 3/4, the width is 3, and the height is 3 1/4

3 3/4*3*3 1/4= 15/4*3/1*13/4

15/4*3/1*13/4= 45/4*13/4 = 585/16

now divided the volume of shipping box by the volume of fish food boxes

585/16 divided by 1/64 and now u do the KFC or the keep flip change

u keep the 585/16 and then flip the sign to multiplication and then change the last number to 64/1

585/16 times 64/1= 37440/16 or 2340

Answer:

Examples are below

Step-by-step explanation:

-6/4, -9/6, -15/10, -18,12, and -24/16

Answer:

12/8

Step-by-step explanation:

one of the numbers wasn't taken so. Yeah.

Answer:

The answer is AB=5.

Answer:

71

Step-by-step explanation:

its an isosceles triangle, as we can tell from the sides, that means that 2 angles are the same size as well. a triangle has 180 degrees.

180-38=142

142/2=71

check

71+71+38=180

that means x=71 degrees

hope this helps!!

Answer:

x = 71

Step-by-step explanation:

The triangle has 2 congruent sides and is isosceles.

Thus the 2 base angles are congruent, so

x = [tex]\frac{180-38}{2}[/tex] = [tex]\frac{142}{2}[/tex] = 71

Answer: B

Step-by-step explanation: What is equivilent to 1/3? 1/3 * 5/5 = 5/15

Answer:

i think its 80

Answer:

80⁰

Step-by-step explanation:

x = sum of alternate angles

x = 50 + 30

x = 80⁰

Answer:

The value of m has to be found within an equation or it has a given value alreadu.

Step-by-step explanation: