Lesson Check (4.NBT.B.6
1. To divide 572 = 4, Stanley estimated to place
the first digit of the whole-number quotient.
In which place is the first digit of the whole-
number quotient?

The expression that correctly describes completing the square is;

Option C; x² + ax + (a/2)²

Let's say we have an expression;

x² + ax + c = 0

Let us first rearrange to get;

x² + ax = -c

Add (a/2)² to both sides to get;

x² + ax + (a/2)² = -c + (a/2)²

Thereafter, we can simplify the left hand side to give; (x + a/2)² = -c + (a/2)²

But from the given options, the only one with a corresponding step with what we have is option C which is x² + ax + (a/2)²

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Answer: 4y-1

Step-by-step explanation:

Simplifying 3xy = 12 Solving 3xy = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '3y'. x = 4y-1 Simplifying x = 4y-1

Hope this helps

Answer: 6 years

Step-by-step explanation:

Answer:

~7.61 births/minute

Step-by-step explanation:

Answer:

A. geometric

Step-by-step explanation:

The rule is to divide by 2: if you are dividing or multiplying between each term, then the sequence is geometric.

Arithmetic sequences add or subtract the same number between each term.

Hope this helps.

Answer:

1 1/4

Step-by-step explanation:

[tex]\frac{5}{8} +\frac{5}{8}=\frac{10}{8}= 1 \frac{2}{8}= 1\frac{1}{4}[/tex]

five eighths plus five eighths equals ten eighths simplified to one and two eighths and simplified again to one and one fourth.

Answer: at least 2

Step-by-step explanation: idek

Step-by-step explanation:

the slope of the line is expressed as the ratio

y coordinate change / x coordinate change

when going from one point to the other.

we have 2 points marked on the chart :

(6, -1) and (9, 3)

x changes by +3 (from 6 to 9)

y changes by +4 (from -1 to 3)

the slope is therefore +4/+3 = 4/3

The equation that describes the number of tickets Rudolph can buy will be 25r + 10g = 150.

Therefore, the equation will be 25r + 10g = 150.

The number of tickets that Rudolph can buy if he buys only reserved seat tickets will be:

= $150 / $25 = 6

The number of tickets that Rudolph can buy if he buys only general admission tickets will be:

= $150 / $10 = 15

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Answer:

116π in

Step-by-step explanation:

Circumference = 2πr

Circumference = 2(58)π

Circumference = 116π

-Chetan K

Answer:

y=9

a=1.5

n=74

v=8

k=11

Answer:

b 12 probly

Step-by-step explanation:

6 on each side add them ya get 12

Answer:

no

Step-by-step explanation:

2/5 is the simplest form in this question 1/2.5 would not mathematically go into 2/5

Answer:

slope=8

y-intercept=12

equation y=8x+12

Step-by-step explanation:

not sure if it is a Proportional or not proportional?

Answer:

Step-by-step explanation:

The mean of an equation is the average of it. For example, if I take 3, 4, and 5 and I want to find the average of it, I would add them up (12) and then divide by 3, because there are 3 terms. So the mean of 3, 4, and 5 is 4. Now in your equation, you must find another number. 79, 76, 55, 20, 14, 68, 30, 29 added up is 371. Now, because there are 8 terms, I would divide 371/8. 371/8=46.38.

I am not done. I must find the missing value. I am going to use the process of elimination to solve.  I hav etried all numbers in my calcualtor that equal a high number, and then got 468. I then divided 468 with a 97 and got 52. 52 is the Missing value.

Answer:

x = 8 and y = 4

Step-by-step explanation:

Firstly, the two equations for this question are x + 2y = 16 (represents the number of free throws and 2-pointers) and 2y = x (represents the ratio of free throws to 2-pointers). Now we can use substitution to help us solve this problem, by substituting 2y for the x variable in the first equation to get (2y) + 2y = 16. Now we combine the like terms to get 4y = 16. Now we can divide both sides of this equation by 4 to get y = 4. Now we can find the x variable by substituting 4 for the y variable in the second equation. We get 2(4) = x and this simplifies to x = 8.

Note: The systems used to solve this question and the answers for the values of x and y are bolded.

Answer:

Here is one of the equations   2x + y=16

Step-by-step explanation:

I apologize I couldn't find the other one.

Answer:

P = 2w - 10

Step-by-step explanation:

To solve this problem use the perimeter formula [tex]P=2l+2w[/tex]

So here we have 1 as the width and w-6 as the length [tex]P=2(w-6) + 2(1)[/tex]

So we multiply 2(w) 2(-6) to get 2w-12

So because 2 times 1 is 2 the perimeter would be [tex]P=2w-12 + 2[/tex]

Simplified would be [tex]P=2w-10[/tex]

because -12 + 2 = 10

Hopes this helps

Answer:

V = 356.8 cubic centimeter

Step-by-step explanation:

[tex]V = \frac{4}{3} \pi r^{3}[/tex]

[tex]\pi V = \frac{4}{3} \pi (4.4)^{3}[/tex]

[tex]V = \frac{4}{3}\pi (85.184)[/tex]

V = 356.8179048

V = 356.8

Answer:

11

Step-by-step explanation:

so 10% as a decimal is 0.1 if you take 1.10 and divide it be 0.1 you get 11. you do this because with percent you just multiply the decimal and you have your percent and using inverse operations you divide by the decimal instead of multiply

Answer:

its 32

Step-by-step explanation:

The value of the expression is 55/3.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

84 ÷ 42 x 6 + 18

Using the PEMDAS rule.

84 ÷ 252 + 18

84/252 + 18

1/3 + 18

(1 + 54)/3

= 55/3

Thus,

The value of the expression is 55/3.

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The complete question:

84 ÷ 42 x 6 + 18

Solve the expression.

Answer:

75/4

Step-by-step explanation:

b+2/3=11/4

3b+2/3=11/4

3b+2=11×3/4

3b=33-2/4

3b=33-8/4

3b=25/4

b=25×3/4

b=75/4

The solution of the linear equation b + 2/3 = 1 ¹/₄ will be 7 / 12.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The equation is given below.

b + 2/3 = 1 ¹/₄

Convert the mixed fraction into a fraction number, then we have

b + 2/3 = 5/4

Simplify the equation, then we have

b = 5/4 - 2/3

b = 7/12

The solution of the equation b + 2/3 = 1 ¹/₄ will be 7 / 12.

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Answer:

Step-by-step explanation:

Average rate of change between x = 2 and x = 4 is:

[tex]\boxed{\sf Average\: change=\dfrac{f(a)-f(b)}{a-b}}[/tex]

[tex]\\ \sf\longmapsto f(x)=3x^3-1[/tex]

[tex]\\ \sf\longmapsto f(4)=3(4)^3-1=3(64)-1=192-1=191[/tex]

[tex]\\ \sf\longmapsto f(2)=3(2)^3-1=3(8)-1=24-1=23[/tex]

Average change

[tex]\\ \sf\longmapsto \dfrac{192-23}{4-2}[/tex]

[tex]\\ \sf\longmapsto \dfrac{168}{2}[/tex]

[tex]\\ \sf\longmapsto 84[/tex]

Answer:

-1

Step-by-step explanation:

We can use the slope formula

m = ( y2-y1)/(x2-x1)

 = ( 10-5)/(-2-3)

  =5/-5

  = -1

The amount of meat that is to be added to each sandwich is expressed as a fraction of a unit mass of one pound.

First part

Second part

Reasons:

The amount of roast beef = 2  and 3/4 lb

The amount of turkey = 1 and 7/8 pounds

The quantity of salami = 2 1/16 pounds

The amount of meat that goes with a sandwich = 1/4 pounds

[tex]\displaystyle Sandwiches \ with \ roast \ beef = \mathbf{\frac{2 + \frac{3}{4} }{\frac{1}{4} }} = 11[/tex]

The number of roast beef sandwiches that can be made = 11 sandwiches

[tex]\displaystyle Sandwiches \ with \ turkey =\frac{1 + \frac{7}{8} }{\frac{1}{4} } = \mathbf{7.5}[/tex]

The number of turkey sandwiches that can be made = 7 sandwiches

[tex]\displaystyle Sandwiches \ with \ salami = \frac{2 + \frac{1}{16} }{\frac{1}{4} } = \mathbf{8.25}[/tex]

The number of salami sandwiches that can be made = 8 sandwiches

The total number of whole sandwiches = 11 + 7 + 8 = 26

The total number of whole sandwiches that can be made = 26 sandwiches

The amount of each meat left is given by the product of the fraction of a sandwich made by the meat and [tex]\displaystyle \mathbf{\frac{1}{4}}[/tex]

Therefore;

The amount of roast beef left = 0 × [tex]\displaystyle \frac{1}{4}[/tex] = 0

[tex]\displaystyle The \ amount \ of \ turkey \ left = 0.5 \ lb \times \frac{1}{4} = \underline{0.125\ lb}[/tex]

[tex]\displaystyle The \ amount \ of \ salami\ left = 0.25 \ lb \times \frac{1}{4} = \underline{0.0625 \ lb}[/tex]

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Answer:

The answer should be (1,-2)

Step-by-step explanation:

because 4x1/4=1 and -8x1/4=-2 just divided and the answer will be (1,-2)

Answer:

see below

Step-by-step explanation:

c+9/24=32/24 so c=23/24

Answer:

C = 23/24

Step-by-step explanation:

Step 1: Convert 1 1/3 to an improper fraction.

Step 2: Change the denominator of 3/8 and 4/3 to a common denominator: 24.

Step 3: Subtract 9/24 from both sides.

Therefore, C = 23/24.

Answer: i think its A

Step-by-step explanation:

Let's say that a is 8, b is 17, and c is x,

Maximum:

a + b > c  

8 + 17 >c  

c < 25

Minimum:

b + c > a  

17 + c > 8  

c > -9

(As it cannot be negative, we will call this 9.)

So, our answer is D as c, x, must be less than 25 and greater than 9.

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

Kim and Zara are correct.

Step-by-step explanation:

Correct simplification:

-3(x+4) - 2(5x-6)

-3x + (-12) - 10x + 12

-3x - 12 - 10x + 12

- 13x

Answer:

answe is about 23. something

Step-by-step explanation: