III
Knowledge Check
Rewrite the equation below so that it does not have fractions.
2
3
x + 4 =
4
Do not use decimals in your answer.
Х
+
5
?

Answer:

$481.50

Step-by-step explanation:

(7/100)*(450)=31.50

31.50+450=481.50

Answer:

10

Step-by-step explanation:

Answer:

a = c/d

Step-by-step explanation:

ad = b-bc

ad = c

a = c/d

Answer:

A'(-2,0) B'(-3,5) C'(0,4)

Step-by-step explanation:

all u have to do is count each original point 3 units left and 4 units up like what the rule for the translation says.

Answer:

A. (-2,0)

B. (-3,5)

C. (0,4)

Answer:

(w² - 4w - 3) (w² + 4w - 3)

Step-by-step explanation:

w² + 4w³ - 3w² -4w³ - 16w² + 12w-3w² - 12w + 9

Answer:

(23, 9,200) (26, 10,400)

those are the only 2

Answer:

B

Step-by-step explanation:

x intercepts is (- 1/2,0)

y intercepts is (0,2)

Answer:

18 feet

Step-by-step explanation:

9 x 2 = 18

Answer:

[tex](3,7)[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point J (15, -13)

Point K (-9, 27)

Step 2: Find Midpoint

Simply plug in your coordinates into the midpoint formula to find midpoint.

Answer:

A (48)

Step-by-step explanation:

let the father's age = x and his son's age = y

according to the question,

the sum of their ages is 74

×+y=74......equation 1

four years ago (i.e x-4 & y-4) father's age was twice as old as his son

x-4=2(y-4)

or, x-4=2y-8

x-2y=-4.......equation 2

now, in equation 1

x+y=74

hence,

x=74-y

substituting the values in equation 2

x-2y=-4

(74-y)-2y=-4

74-y-2y=-4

74-3y=-4

74+4=3y

3y=78

y=78/3

y=26

Hence the kid is 26 years old

x+y=74

x+26=74

x=74-26

x=48

Hence the dad is 48 years old

Answer:

The correct answer is: Option A: 48

Step-by-step explanation:

Let x be the present age of father and y be the present age of son

Given that

"The sum of the ages of a father and his son is 74"

[tex]x+y = 74\ \ \ Eqn\ 1[/tex]

Now

x-4 will be the age of father 4 years ago

y-4 will be the age of son 4 years ago

The equation will be:

[tex]x-4 = 2(y-4)\\x-4 = 2y-8\\x-2y-4 =-8\\x-2y = -8+4\\x-2y = -4\ \ \ Eqn\ 2[/tex]

From equation 1:

[tex]x = 74-y[/tex]

Putting in equation 2

[tex]74-y-2y = -4\\74-3y = -4\\-3y = -4-74\\-3y = -78\\\frac{-3y}{-3} = \frac{-78}{-3}\\y = 26[/tex]

Put y = 26 in equation 1

[tex]x+26 = 74\\x = 74-26\\x = 48[/tex]

The father is 48 years old now.

Hence,

The correct answer is: Option A: 48

Answer:

No, the figures are not similar.

Step-by-step explanation:

In order for the figures to be similar, in object B, the line labeled as 20 would need to be 10.

Answer:

The statment would be written as "12 - x".

Answer:

37

4 remander

Step-by-step explanation:

Step 1:

Start by setting it up with the divisor 5 on the left side and the dividend 189 on the right side like this:

   5 ⟌ 1 8 9

Step 2:

The divisor (5) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top:

       0    

   5 ⟌ 1 8 9

Step 3:

Multiply the divisor by the result in the previous step (5 x 0 = 0) and write that answer below the dividend.

       0    

   5 ⟌ 1 8 9

      0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.

       0    

   5 ⟌ 1 8 9

     - 0    

       1    

Step 5:

Move down the 2nd digit of the dividend (8) like this:

       0    

   5 ⟌ 1 8 9

     - 0    

       1 8  

Step 6:

The divisor (5) goes into the bottom number (18), 3 time(s). Therefore, put 3 on top:

       0 3  

   5 ⟌ 1 8 9

     - 0    

       1 8  

Step 7:

Multiply the divisor by the result in the previous step (5 x 3 = 15) and write that answer at the bottom:

       0 3  

   5 ⟌ 1 8 9

     - 0    

       1 8  

       1 5  

Step 8:

Subtract the result in the previous step from the number written above it. (18 - 15 = 3) and write the answer at the bottom.

       0 3  

   5 ⟌ 1 8 9

     - 0    

       1 8  

     - 1 5  

         3  

Step 9:

Move down the last digit of the dividend (9) like this:

       0 3  

   5 ⟌ 1 8 9

     - 0    

       1 8  

     - 1 5  

         3 9

Step 10:

The divisor (5) goes into the bottom number (39), 7 time(s). Therefore put 7 on top:

       0 3 7

   5 ⟌ 1 8 9

     - 0    

       1 8  

     - 1 5  

         3 9

Step 11:

Multiply the divisor by the result in the previous step (5 x 7 = 35) and write the answer at the bottom:

       0 3 7

   5 ⟌ 1 8 9

     - 0    

       1 8  

     - 1 5  

         3 9

         3 5

Step 12:

Subtract the result in the previous step from the number written above it. (39 - 35 = 4) and write the answer at the bottom.

       0 3 7

   5 ⟌ 1 8 9

     - 0    

       1 8  

     - 1 5  

         3 9

     -   3 5

           4

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 189 divided by 5 calculated using Long Division is:

37

4 Remainder

Answer: 4 feet

Step-by-step explanation:

Answer:

Would be the approx 17.55 or 12p

Step-by-step explanation:

Mark me brainliest because you promised it and have a splended day ( ^ :

Answer:

b=56

Step-by-step explanation:

Try

your proving is in photo

Answer:

D

Step-by-step explanation:

Answer:

180 square centimeters

Step-by-step explanation:

Because the five squares are congruent, the 12 sides of the figure are all equal in length. Then the length of one side is 72/12 = 6 cm. Therefore, the area of each square is 36 sq cm and the area of the figure, 5 x 36, is 180 sq cm.

Answer:

2d-5=Q ?

Step-by-step explanation:

Am I supposed to be representing quarters too? I think this should solve it though. Lmk if somethings wrong :)

Answer:

x^5/2 - 2x

Step-by-step explanation:

Cancel terms that are in both the numerator and denominator

2

Combine multiplied terms into a single fraction

3

Combine exponents

Answer: x^5/2 - 2x

Step-by-step

Answer:

19.5

Step-by-step explanation:

60 - 40.5 = 19.5.

Answer:

we prove the both triangle

first we profe sides

two years late but hope this helps !!

Answer:

7.28

Step-by-step explanation.

4 is rounded down to 80 and if you just take away the 0 in 80 its 8.

Answer:

it already is

Step-by-step explanation:

.2 is the tenth .28 is the hundredth and .284 id the thousandth. there arent any more decimals after that thousandth so you cant round up or down

Step-by-step explanation:

81 - 1.2x < 55

81 < 55 + 1.2x (add 1.2x to both sides)

1.2x > 26 (subtract 55 from both sides)

x > 21 2/3.

Answer:

$71.44

Step-by-step explanation:

Answer:1 squared 1

2 squared 4

3 squared 9

4 squared 16

5 squared 25

6 squared 36

7 squared 49

8 squared 64

9 squared 81

10 squared 100

11 squared 121

12 squared 144

13 squared 169

14 squared 196

15 squared 225

16 squared 256

17 squared 289

18 squared 324

19 squared 361

20 squared 400

Step-by-step explanation:

dude just search it up

Answer:

105

Step-by-step explanation:

The 11 th square number is 11² = 121

The 4 th square number is 4² = 16

Their difference is 121 - 16 = 105

Answer:

x = -9

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

3(x + 1) - 2x = -6

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that -6 does indeed equal -6.

∴ x = -9 is the solution to the equation.