A corner store sells 60-watt bulbs in packs of 4.

Write an equation that shows how the number of bulbs in stock, y, depends on the number of packages, x.

Step-by-step explanation:

Hope it helps you

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Given -

To find -

Concept -

Whenever two parallel lines are cut by a transversal, an interesting relationship exists between the two interior angles on the same side of the transversal. These two interior angles are supplementary angles. Hence, according to the figure l and m are two parallel lines and t is the transversal intersecting them then ∠1 + ∠2 = 180°.

Solution -

[tex]\rightarrow\sf{(13x+24)^{ \circ}+(5x-6)^{ \circ}=180^{ \circ}}[/tex]

[tex]\rightarrow\sf{13x+5x+24-6=180}[/tex]

[tex]\rightarrow\sf{18x+18=180}[/tex]

[tex]\rightarrow\sf{18x+18=180}[/tex]

[tex]\rightarrow\sf{18(x+1)=180}[/tex]

[tex]\rightarrow\sf{x+1=\frac{180}{18}}[/tex]

[tex]\rightarrow\sf{x+1=10}[/tex]

[tex]\rightarrow\sf{x=10-1}[/tex]

[tex]\rightarrow\boxed{\bf{x=9}}[/tex]

m∠2 = (5x-6)° = {5(9) - 6}° = {45 - 6}°= 39°

Henceforth, m∠2 = 39°

Answer:

36 meters 75 meters and 2 times greater

Step-by-step explanation:

i just used a caculator.

Answer:

25= first

50= second

 2= third/last

Step-by-step explanation:

Answer:

The answer is d and b hope this helps!

Answer:

5 2/9 would be the answer

Answer:

20

Step-by-step explanation:

So, both of those angles are equal to each other because they are congruent. So, we can set their equations equal to each other to find x.

Solve it like this:

3x + 50 = 6x - 10

-3x           -3x    (always subtracts the variables first (x), then the other numbers)

50 = 3x -10

+10        +10

60 = 3x

Then, divide both sides by the number next to the variable (3)

60/3 = 20, 3x/3 = x

So, you get:

20 = x

Answer:

1435

Step-by-step explanation:

Answer:

1435 mL

Step-by-step explanation:

The milk jug with 885 mL is Jug A, and the milk jug with 550 mL is Jug B.

To find how much milk is in both jugs, you must add the volumes of Jug A and Jug B.

885 + 550 = 1435

hope this helps :)

So you add 600$+200$ then divide it by ten

Answe is:80$

Answer:

the answer is 0.35

Step-by-step explanation:

You need to multiply the denominator (10) by a hundred in order to add them together but you also need to multiply the number above that(0.35) and it becomes 3.5, that multiplied by 8 is 28. Hope it helped

Answer:

focus only on parallel lines which are A and B

angle 5 = angle 6

angle 4 = angle (4x+5)

angle 1 equals angle 3

angle 2 equals angle (3x+7)

notice pattern

look in your notes to see what these angles are called

see pattern?

another pattern......

on same side of parallel lines,

the angles equal same

so angle 3 = angle 6= angle (3x+7)

equals angle (4x+5)

and on left side of parrallel line with intersection ;line,... same concept all same

so if 4x +5 equals 3x+7...... what would be the next step?

stop and think... .... you can solve with those two equations

look above at statement with equals.... what math symbol do you replace with equals?   use algebra to solve

Step-by-step explanation:

Answer:

OK I think that their is 9 options

Step-by-step explanation:

1.(red,tulips,plaid)  2.(red,daisies,striped)   3.(red,roses,solid)  

4 .(blue,tulips,plaid)   5.(blue,daisies,striped)  6.(blue, roses,solid)  7.(yellow,tulips,plaid)  8.(yellow, daisies,striped)   9.(yellow, roses, solid)

Hope this somewhat helps  :)

Answer:

D

Step-by-step explanation:

34 shows up twice more than the rest

Answer:

40%

Step-by-step explanation:

2/5 = 0.4 or 40% (2 x 2 = 4, 5 x 5 = 10)

Therefore 40% of the students earned an A.

Answer:

6

Step-by-step explanation:

3+3x1=6 when you do math you go by PEMDAS (parentheses, exponents, multiplication,division,addition, and subtraction) always go in the order of PEMDAS. So with this question you do M (multiplication) then you do A(addition). so it will be 3x1=3+3=6 hope this sums it up

Answer:

49 and 98, with an area of 4802

Step-by-step explanation:

So, let X be one of the sides, and Y be the other
X*Y would be the area of the rectangle since width*length = area, and X is the width and Y is the length
2X+Y would be the perimeter, excluding the wall (since we don't need fencing for the side sticking to the wall)

To find the max area, we can plot our two equations
so, our two equations:
1. 2X+Y=196 (since perimeter)
2. X*Y=area, and we're trying to maximise it
We can re-arrange the first equation to get
3. Y=196-2X
plug our new equation (#3) into the second equation(#2)
to get:
X*(196-2X)=area=196X-[tex]2X^2[/tex]
And now that we have this equation, we can either:
Graph it to see the largest area (the highest point)
Or calculate the max area using calc
We have a quadratic function that goes up, then down as X increases, so we'll try to find the point where the function stops going up, and instead goes down as X increases (image is attached, not to scale). Recall that the  first derivative basically tells is the slope of a function/equation at a given X, so when the function is at a slope of 0, we know that the area is at its max point.
Take the first derivative
(196X-2X^2)'=196-2(2X)=196-4X
196-4X is the equation of the slope, so when X = 49, then the slope is 0
This means that one of the side lengths should be 49
To find out which one, we can use trial and error: (there are 2 cases)
1. 49*((196-49)/2)=3601.5
or:
2. 49*(196-2*49)=4802
The second option is correct since the number, or the area is larger.
Side length 1: 49
Side length 2: (196-2*49), or 98

Note: there's definitely another way to do this problem

Answer:

0.6796875

Step-by-step explanation:

1. We assume, that the number 9.375 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 9.375 is 100%, so we can write it down as 9.375=100%.

4. We know, that x is 7.25% of the output value, so we can write it down as x=7.25%.

5. Now we have two simple equations:

1) 9.375=100%

2) x=7.25%

where the sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

9.375/x=100%/7.25%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 7.25% of 9.375

9.375/x=100/7.25

(9.375/x)*x=(100/7.25)*x       - we multiply both sides of the equation by x

9.375=13.793103448276*x       - we divide both sides of the equation by (13.793103448276) to get x

9.375/13.793103448276=x

0.6796875=x

x=0.6796875

now we have:

7.25% of 9.375=0.6796875

The percentage of the mile 7.25% of 9.375 =0.6796875.

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

We have to find percentage of the mile times range from 7.25 to 9.375.

let 9.375 represents 100% and x represents 7.25%.

Then, using proportion we can write

9.375/x=100%/7.25%

9.375/x=100/7.25

9.375 (7.25)= 100x

100x = 67.96875

x= 0.6796875

Thus, 7.25% of 9.375 =0.6796875

Learn more about Percentage here:

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1/12 yards taken for each gifts

Explanation:

[tex]\ \sf total \ material \rightarrow \dfrac{1}{3}[/tex]

[tex]\ \sf each \ gift \ material \rightarrow \dfrac{1}{3} \div 4[/tex]

[tex]\ \sf each \ gift \ material \rightarrow \dfrac{1}{3} \ * \ \dfrac{1}{4}[/tex]

[tex]\ \sf each \ gift \ material \rightarrow \dfrac{1}{12}[/tex]

Material per gift:-

Answer:

I think the volume is 15

Step-by-step explanation:

2.5 x 3 then multiply that by 2

Answer:

E. 24 and 32

Step-by-step explanation:

this is because the factors for each number

24= 1,2,4,6,8,12,24

36= 1,2,3,4,8,12,16,32

Answer: ∠DOB: 48°

Step-by-step explanation:

1. we need an equation first. the sum of all angles (108°, n°, 2n°) is equal to 180°. we can depict this with the equation: 108°+2n°+n°=180°

2. now we can solve for the missing variable, n.

108°+3n°=180° → subtract both sides by → 3n°=72° → divide both sides by 3 → n=24°

3. now that we know that n=24°, we can solve the value of ∠DOB. we can see that ∠DOB is 2n° which we just plug the number we got for n into the equation. 2*24=48° meaning ∠DOB is 48°

hope this heped! ♡

Answer:

(6,6)

Step-by-step explanation:

Have a good day! Hope this helped :)

Answer:

It is the left one.

Step-by-step explanation:

This (<) symbol shows us which number is bigger. In this case, 4.626 is larger than 4.606, so we put this "<"

Answer:

the middle one.

im just guessing

How to solve:

    Let's follow his process step-by-step to analyze what property is being used. The breakdown is as follows:

Jayden's work

Set up equation                                                     9(2 + 7x)

Step 1                                                                      9(7x + 2)

Step 2                                                                     9(7x) + 9(2)

Step 3                                                                      (9*7)x + 18

Breakdown

Set up equation                                                     9(2 + 7x)

Step 1: Commutative Property of Addition

This property states that when adding, the order of the numbers being added does not matter, and are therefore interchangeable.

Original equation: 9(2 + 7x)

Equation's formula: a(b + c)

Changed equation: 9(7x + 2)

Equation's formula: a(c + b)

By swapping the b and c values in the parentheses, Jayden is demonstrating the Commutative Property. Both will still produce the same sum.

Step 2: Distributive Property of Multiplication

This property states that the sum of two addends that are multiplied by the same number is equal to the product of that number multiplying the sum of both addends.

Original equation: 9(7x + 2)

Equation's formula: a(c + b)

Changed equation: 9(7x) + 9(2)

Equation's formula: a(c) + a(b)

By splitting the parentheses and multiplying each term separately, Jayden is demonstrating the Distributive Property. Both will produce the same product.

Step 3: Associative Property of Multiplication

This property states that the product of three terms, where one is outside of the parentheses multiplying the other two, is not affected by changing which term is on the outside of the parentheses.

Original equation: 9(7 * x) +18

Equation's formula: a(c*x) + (ab)

Changed equation: x(7*9) + 18

Equation's forumula: x(c*a) +18

By swapping the 9 and x variables, Jayden is demonstrating the Associative Property. Both will produce the same product.

Simplified:

Step 1 - Commutative Property

Step 2 - Distributive Property

Step 3 - Associative Property

Answer:

27720cm

Step-by-step explanation:

to find area, we multiply all the widths.

11×14×20×9= 27720cm

Answer:

235 square centimeters

Step-by-step explanation:

Split The Shape Into 2.

Shape 1: 11 cm by 14 cm

11 cm * 14 cm = 154 square centimeters

Shape 2: (20 - 11) cm by 9 cm

(20 - 11) cm * 9 cm = 9 cm * 9 cm = 81 square centimeters

Original Shape = Shape 1 + Shape 2

154 + 81 = 235 square centimeters

Answer:

1.5

(9÷6)

u basically just divide that's all

Answer:

0

Step-by-step explanation:

So,0= the lengths of springs from the original pogo stick and the toddler's pogo stick are equal.

Hence, the values for different conditions were calculated with the help of trigonometric functions.

Part A

θ=kπ

Where k is an integer k=0,1,2..

Part B

θ=[tex]k\frac{\pi }{2}[/tex]

Where k is an integer k=0,1,2..

Part C

θ=kπ

Where k is an integer k=0,1,2..

The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths

Part A

Given that,

f(x)=2sinθ+[tex]\sqrt{2}[/tex]

Non compressed length = [tex]\sqrt{2}[/tex]

Then

2sinθ+[tex]\sqrt{2}[/tex]=[tex]\sqrt{2}[/tex]

2sinθ=0

sinθ=0

Therefore θ is the integer multiple of π

θ=kπ

Where k is an integer k=0,1,2..

Part B

Here angle is doubled

Then,

2sin2θ+[tex]\sqrt{2}[/tex]=[tex]\sqrt{2}[/tex]

2sin2θ=0

sin2θ=0

Here θ will be the integer multiple of [tex]\frac{\pi }{2}[/tex]

θ=[tex]k\frac{\pi }{2}[/tex]

Where k is an integer k=0,1,2..

Part C

g(x)=1-[tex]cos^{2}[/tex]θ+[tex]\sqrt{2}[/tex]

Here

f(x)=g(x)

2sinθ+[tex]\sqrt{2}[/tex]=1-[tex]cos^{2}[/tex]θ+[tex]\sqrt{2}[/tex]

2sinθ=1-[tex]cos^{2}[/tex]θ

we know that [tex]1-cos^{2}[/tex]θ=[tex]sin^{2}[/tex]θ

2sinθ=[tex]sin^{2}[/tex]θ

sinθ=0

Therefore θ is the integer multiple of π

θ=kπ

Where k is an integer k=0,1,2..

Hence, we have solved that

Part A

θ=kπ

Where k is an integer k=0,1,2..

Part B

θ=[tex]k\frac{\pi }{2}[/tex]

Where k is an integer k=0,1,2..

Part C

θ=kπ

Where k is an integer k=0,1,2..

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Answer:

Perimeter = 12

Area = 8

Step-by-step explanation: For the perimeter add all the sides so the top and bottom is both 2 so 2+2 = 4.

For the sides its both 4 so 4 + 4 = 8.

8 + 4 = 12

So the perimeter is 12.

For area just count all the blue squares and there is 8 squares.

So the area is 8.

Hope this helps you.

Answer:

Perimeter = 12

Area = 8

*Brainliest would be appreciated.

Step-by-step explanation: