What is the area of polygon IJKL?
A.
120 square units
B.
125 square units
C.
130 square units
D.
140 square units
E.
150 square units

5 x 4= 20

20 students play basketball.

5 x 4= 20

20 students play basketball.

Answer:

z = 131

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

z - 49 - 13 = 59

Step 2: Solve for z

Answer:

[tex] \small \sf \: z = \fbox{121}[/tex]

Step-by-step explanation:

z - 49 - 13 = 59

We need to find z.

solve for z

z - 49 - 13 = 59

z - 62 = 59

z - 62 + 62 = 59 + 62

z = 59 + 62

z = 121

480

This is this awnser because its 120 a second, for 4 seconds so 4 times 120 = 480.

Well the equation is rate*time=work/distance(in this case total vibrations)

Now we plug in the numbers:

(we know that 120 times per second is the rate because it uses the word per)

(4 seconds is the time because the unit is just seconds)

12*4=48*10=480

120*4=480

The answer is 480 vibrations

Hope this helps :)

732 ÷ 42 = 17.42857143

Rounding up the answer to nearest whole number gives 17

The slope is the factor in front of x, so slope is 9.

The y intercept is 7 (that's the point of cross the y axis, where x=0)

There are multiple definitions of "standard form" for lines, so here are the two i can think of:

9x - y = -7    (the implicit function form)

or

y-7 = 9*(x-0)  (the point-slope form)

Lmk if you have questions.

Final answer:

To find how many times larger 3 x [tex]10^{15}[/tex] is than 6 x [tex]10^{10}[/tex], divide the first by the second resulting in 5 x [tex]10^{4}[/tex]. This means 3 x [tex]10^{15}[/tex]  is fifty thousand times larger than 6 x [tex]10^{10}[/tex].

Explanation:

To find out how many times larger 3 x [tex]10^{15}[/tex]  is than  6 x [tex]10^{10}[/tex], you can divide the first number by the second number:

This means that 3 x [tex]10^{15}[/tex]  is fifty thousand times larger than 6 x [tex]10^{10}[/tex].

3 the opposite as in |-3|

is 3

Answer:Noah runs the fastest, u gave me the wrong answer!!!!!!!!!

Step-by-step explanation:

it is -6

-3x2=-6

do 3x2 (6) but add the negative after

Using multiplication operation, the value of -3 * 2, which is the product of -3 and 2 is: -6.

To calculate -3 × 2, you multiply the two numbers together using the standard multiplication operation.

-3: This is a negative constant, representing the number -3.

×: This symbol represents the multiplication operation.

2: This is a positive constant, representing the number 2.

Now, perform the multiplication:

-3 × 2 = -6

So, -3 × 2 equals -6. The result is a negative number because when you multiply a negative number (-3) by a positive number (2), the product is negative.

Learn more about multiplication operation on:

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the answer is 5.5.5.5.5 because i just did the math

If 13% of 100 is 13, than 13% of 100 million is 13 million. And multiplying two on both sides, we get that 13% of 200 million is 26 million. If we take it the other way, we get that 13% of 50 million is 6.5 million. As 6.5 million + 25 million is 31.5 million, this is our answer.

your answer is 32,500,000

The answer is B.

To find the answer you can immediately cross out A and C. You're left with a mixture of ingredients that turn into a cake or choclate melting. Chocolate melting is a physical change so by using the process of elimination you can conclude that B is the correct answer.

Answer:

The correct answer is option B.

Step-by-step explanation:

We call chemical change to the process where two or more substances are transformed into other substances.

During this change, the substances will have a modification in the structure of their molecules and their bonds.

In the case of the example we can see how different substances (flour, sugar, eggs and butter) will change the shape of their structure to form another substance: the cake. This cake will receive the name of product.

Given this information, we can say that the correct answer is option B.

Answer:

y = 5x

D is the correct option.

Step-by-step explanation:

We have been given that sheltie puppy gets 2.5 cups of food twice per day.

It means that in a day she eats 5 cups of food. It means the rate is 5 cups of food per day.

The equation will be linear.

Let y be the number of cups of food she eat and x is the number of days.

Hence, we have

Slope = 5

And the equation that represents the number of cups of food she eats is given by

y = 5x

D is the correct option.

Answer:

D) y = 5x

Step-by-step explanation:

D is the correct answer.

Hope this helps!

First you have to divide 1,230 by 6:

1,230 ÷ 6 = 205

She will need 205 pages to display all 1,230 of her cards

1. Make the equation. The product of the number and 6 equals the sum of the number and 45, so the equation would be 6x = x + 45.

2. Subtract x from both sides. You'll get 6x - x = 45.

3. You can combine like-terms by subtracting 6x - x. This is the same as 6x - 1x, which is 5x. You'll get 5x = 45.

4. Divide both sides by 5 to get x = 9.

Therefore, the number is 9.

Answer:

14379.50

Step-by-step explanation:

If I remember correctly, the Medicare tax is taken on Gross Income. The question has already limited the base amount for Social Security.

Social Security: 118,500 * 6.2/100 =   7347

Medicare Tax:    485,000*1.45/100 =  7032.50    Add

Add                                                       14379.50

Sonny paid 14370 in taxes for these 2 items.

Answer:

$14,379.50

Step-by-step explanation:

Given that:

As we know that, the Federal Insurance Contributions Act (FICA) is made up of two items, Social Security and Medicare taxes.

So

Social Security tax: $118,500*6.2% = $7347

Medicare tax: $485,000*1.45% = $732.5

=> the amount of  FICA taxes as a rookie pitcher she needs to pay is:

= $7347 + $732.5

= $14,379.50

Using the traditional division algorithm, 137 divided by 3 equals 45 with a remainder of 2.

To find the quotient of 3 divided into 137 using the traditional divisor algorithm, we take it step by step. Starting from the left, we see if 3 fits into the first digit, 1. It does not, so we look at the next digit, making it 13. 3 fits into 13 four times. Write this 4 on top of the division line. Then you subtract the value of 4 times 3, or 12, from 13 to get a remainder of 1. Bring down the next digit from the dividend, so now we're dividing 3 into 17. 3 fits into 17, five times. Write this 5 on top of the division line. Therefore, 137 divided by 3 using traditional division algorithm equals 45 remainder 2.

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23s+56s=21

79s=21

79/79    21/79

s=0.265822785

4x6-24/4

24-24/4

24-6

Answer: 18

Let Total = t, adult tickets = a, children's ticket = c, total cost = T

t = a + c

T = 8a + 5.50c

is your system equation.

hope this helps

$100 worth of groceries.

Answer:

The numbers are a= 4 and b= 8.

Step-by-step explanation:

Let the unknowns number be a and b.

assume a>b.

As per the given condition: The sum of two number is 12 and the difference of the same is -4.

from the above conditions we have:

[tex]a+b =12[/tex]      ......[1]

[tex]a-b=-4[/tex]        ......[2]

Now, adding equations, we will eliminate b leaving an equation in a that we can solve:

⇒ [1]+[2] gives;

[tex](a+b)+(a-b)=12+(-4)[/tex] or

[tex]a+b+a-b=12-4[/tex]

Simplify:

[tex]2a=8[/tex]

Divide by 2 on both sides, we get

[tex]\frac{2a}{2}= \frac{8}{2}[/tex]

Simplify:

a=4

Substitute the value of a= 4 in equation [1] . to solve for b;

[tex]4+b=12[/tex] or

b= 12-4 =8

Therefore, the numbers a and b are 4 and 8

The equation format for point-slope form is y-y1 = m(x-x1)

The slope is M, which is given as -1/5

You are given a point of (7,2) which would be x1 and y1.

replace x1 and y1 in the equation with the appropriate numbers:

x1 = 7, y1 = 2

The equation becomes y - 2 = -1/5x -7

The repeating decimal 2.26 (with 26 repeating) is converted to a fraction by setting it as 'x', scaling by 100, subtracting the original x, and then simplifying to get the fraction 224/99.

To convert the repeating decimal 2.26 (with 26 repeating) to a fraction, we use the following steps:

We now have our fraction, which is 224/99.

The answers are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, and 97.

All of these number CANNOT be divided by any number (or cannot have any smaller numbers multiplied together to make it) besides 1 and itself (1 * 5 = 5).

34' of 34 into 45. that's your answer.

a. 2x+3x-6=10+4x

5x-6=10+4x

5x-4x=10+6

x=16

one solution

b. 17+5x=23+4x-6+x

17+5x=17+5x

infinite number of solutions

c. 7x+4=5x+8+2x-10

7x+4=7x-2

no solution

(a) 2x + 3x - 6 = 10 + 4x  ---> Answer: x = 16, it has one solution, it is an identity.

Adding the like terms on the same side of the equation to solve for x:

2x + 3x - 4x = 10 + 6

x = 16

(b) 17 + 5x = 23 + 4x - 6 + x ---> Answer: it has infinite number of solutions, it is a contradiction

Adding the like terms on the same side of the equation to solve for x:

5x - 4x - x = 23 - 17 - 6

5x - 5x = 6 - 6 (this equation is cancelling everything on each side so it can not be true no matter what value we assign, therefore it has infinite number of solution)

(c) 7x + 4 = 5x + 8 + 2x - 10 ---> Answer: no solution, its a contradiction.

Adding the like terms on the same side of the equation to solve for x:

7x - 5x - 2x = -10 + 8 - 4

7x - 7x = -6 (the terms of x are cancelled by each other, therefore no solution.