4.1 Number Talk: Division
Find each quotient mentally.
645 divided by 100
645 divided by 50
48.6 divided by 30
48.6 divided by x

Answers

Answer 1
645/100= 6.4
645/50= 12.9
48.6/30 = 1.62
48.6/x = 48.6/x

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Answers

Answer:

13 years

Step-by-step explanation:

F(x)=(x+2)^2 (x-3) graph the function

Answers

The value of the equation f ( x ) is

f ( x ) = x³ + x² - 8x - 12

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

f ( x ) = ( x + 2 )²( x -3 )   be equation (1)

Now , on simplifying the equation , we get

f ( x ) = ( x + 2 )²( x -3 )

f ( x ) = ( x² + 4x + 4 ) ( x - 3 )

Now , multiplying each term with ( x - 3 ) , we get

f ( x ) = ( x - 3 ) x² + ( x - 3 ) 4x + ( x - 3 ) 4

f ( x ) = x³ - 3x² + 4x² - 12x + 4x - 12

On simplifying the equation ,we get

f ( x ) = x³ + x² - 8x - 12

Now , the value of the equation f ( x ) = x³ + x² - 8x - 12

On graphing the equation , we get

The graph of the equation f ( x ) = x³ + x² - 8x - 12 is shown below

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lcd by inspection and division of 1/4, 3/32, 5/48, and 1/8

Answers

Part a: the LCD is measured to be 96 utilizing the inspection method.

Part b: By division of prime numbers: 96.

Explain the term LCD of the Fractions?The LCD of above fractions can be calculated using one of two methods. The inspection method is a name for the first technique. With this approach, the denominator's multiples are acquired, and the result is determined by selecting a common multiple from the pool of available multiples.The division by prime numbers is the name of the second approach. To acquire the LCD, find a prime number which divides the following fractions.

The given number are-

1/4, 3/32, 5/48, and 1/8

Part a:

Find the multiples of the provided fractions' denominators, which are 4, 32, 48, and 8.

4 = 4,8,12,16,20,24,28,32,36,40,44,48,52,56,60,64,68,72,76,80,84,88, 92, 96.

32 = 32, 64, 96, 128, 160, 192, 224, 256, 288 ,320.

48 = 48, 96, 144, 192, 240, 288, 336, 384, 432 and 480.

8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80

The computation shows that 96, which really is divisible by 4, 32, 48, and 8, is the lowest common multiple.

As a result, the LCD is measured to be 96 utilizing the inspection method.

Part b: By division of prime numbers:

Determine the factors of the given fractions' denominators, 4, 32, 48, and 8.

4 = 2, 2

32 =  2, 2, 2, 2 and 2.

48 = 2, 2, 2, 2 and 3.

8 = 2, 2 and 2.

The generated number, 96, can be divided by the provided fractions' denominators.

As a result, the outcome is 96.

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UNIT 3
FORM B continued
UNIT JASSESSMENT

Name:
3 Simon and Reina practice basketball shots. Simon makes 7 baskets for every S
misses. Reina makes 9 baskets for every 7 misses. Who makes a basket more often?
Show your work.

Answers

The person who makes a basket more often, between Simon and Reina, is Simon

How to find who makes more baskets ?

To find who makes the basket more, you need to find the percentage number of times the basket is made.

The percentage number of times the basket is made by Simon is :
= Number of baskets made / ( Number of baskets made + Number of baskets missed ) x 100 %

= 7 / ( 7 + 5 ) x 100%

= 7 / 12 x 100%

= 58.3%

The percentage number of times Reina makes the basket is :

= 9 / ( 9 + 7 ) x 100%

= 9 / 16 x 100%

= 56.25%

Simon therefore makes the basket more.

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Arturo buys 12 bottles of grapefruit juice at the corner store for a total cost of $8.64. If each bottle costs the same amount, how much is 16 bottles of juice?

Answers

Answer:

[tex]\huge\boxed{\sf \$ \ 11.52}[/tex]

Step-by-step explanation:

Given that,

12 bottles of juice = $8.64

Using unitary method.

Divide 12 to both sides

12/12 bottle of juice = $8.64/12

1 bottle of juice = $0.72

Multiply 16 to both sides

1 × 16 bottles of juice = $0.72 × 16

16 bottles of juice = $11.52

[tex]\rule[225]{225}{2}[/tex]

Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. 0.70L to 0.14L

Answers

Answer:

5

Step-by-step explanation:

0.7/0.14

7/10×100/14

7×100/10×14

5

Given the function f (x)= x2 −5x + 6 , evaluate

Answers

Actually 20 is the answer

if f(x)=2x+6 , g(x)= - 5x - 9 what is the product of and g?

Answers

Answer:

f(x) * g(x) = -10x2 - 48x - 54

Step-by-step explanation:

(2x+6) * (-5x-9)

-10x2 - 18x - 30x - 54

-10x2 - 48x - 54

-4 3/4 = x-1 1/5
Whats the value of x

Answers

Answer:3/4 * 1/5 = 3/20 = 0.15

Step-by-step explanation:Multiple: 3/

4 * 1/5 = 3 · 1/4 · 5 = 3/20

Multiply both numerators and denominators. The result fraction keep to the lowest possible denominator GCD(3, 20) = 1. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - three quarters multiplied by one-fifth is three twentieths.

2. Give another name for KL

Answers

Answer: Thousand  Liters

Step-by-step explanation:

Patrick is in a grocery store parking lot, 90meters away from his car. If he pushes his shopping cart at a constant velocity of 2meterspersecond toward his car, how much time will it take him to get one-third of the way to his car?
Write your answer as a whole number.

Answers

15 seconds of time will it take him to get one-third of the way to his car

What is Distance?

The length along a line or line segment between two points on the line or line segment.

Given,

Patrick is in a grocery store parking lot, 90meters away from his car

Patrick pushes his shopping cart at a constant velocity of 2meterspersecond toward his car.

We need to find time will it take him to get one-third of the way to his car

one-third of the way to his car means 1/3 of 90 which is 30 meters.

Speed =Distance/ Time

Time=Distance/speed

=30/2

=15 units.

Hence, 15 seconds of time will it take him to get one-third of the way to his car

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Solve the absolute value of equation.
List both the answers.
|x|-2=5

Answers

Answer:

-7 or 7

Step-by-step explanation:

|x|-2=5

Add 2 to each side:

|x|=7

Because it is the absolute value, x can be -7 or 7

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Are travels 120 miles and one and a half hours what is the average speed for miles per hour

Answers

Answer: 80

Step-by-step explanation:

You have 120 miles in one and a half hour

120÷1 1\2 =80 is your speed

Simplify Oa Ob Oc Od 10x² -32 4 ​

Answers

Answer:

Step-by-step explanation:

Solve the polynomial inequality and graph the solution set on a real number line. Express the solution set in interval notation. 5x2 + 14x - 3 < 0 The solution set is O A. (Simplify your answer. Type your answer in interval notation. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.) O B. The solution set is the empty set. Which number line below shows the graph of the solution set? O A. В. + -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 7 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4. 7 8 C. + + + + + + + D. + -8 -7 -6 -5 -4 -3 -2 -1 1 3 4 7 8 -8 -7 -6 -5 -4 -3 -2 -1 1 3 4 5 7 8 E. F. + + + + -7 -6 -3 -2 -1 1 2 3 6 -8 -7 -6 -5 -4 -3 -2 -1 1 3 5 6 7 8 OG. →O H.

Find the equation for the line that passes through the point (−2,0), and that is parallel to the line with the equation y=−12x−72

Answers

The linear equation parallel to y = -12x - 72 that passes through (-2, 0) is:

y = -12x - 24

How to find the linear equation?

A general linear equation is written as:

y = m*x + b

Where m is the slope, and b is the y-intercept.

And two lines are parallel only if the lines have the same slope and a different y-intercept.

So, if we want to find a line parallel to:

y = -12x - 72

Then the slope of our line must be -12, then our line is something like:

y = -12x + b

Now we know that the line must pass through (-2, 0), replacing that in our line we get:

0 = -12*-2 + b

0 = 24 + b

-24 = b

The linear equation is:

y = -12x - 24

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Convert 170 gallons into cubic feet. Round
your answer to the nearest tenth.
*Note: you must use these exact conversion factors to
get this question right.

Answers

Answer:22.7

Step-by-step explanation: 170/7.481=22.724234728 rounded to the nearest tenth is 22.7

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Answers

Answer:

The function rule g(x) after the given transformations of the graph of f(x)=4x is g(x) = -1/2x

Step-by-step explanation:

Transformation techniques

Transformation is the process of changing the position of an object on the xy-plane.Given the parent functionf(x) = 4xIf the function is not reflected over x-axis, the resulting function will be f(x) = -4xIf the resulting function is compressed by a factors of 1/8, hence the final function rule will be;g(x) = 1/8(-4x)g(x) = -1/2xHence the function rule g(x) after the given transformations of the graph of f(x)=4x is g(x) = -1/2x

Hope this helps!
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A homeowner sections off part of her backyard for a vegetable garden. The width of the garden is 4 ft shorter than the length. The perimeter of the garden is 52 ft. What are the dimensions of the garden?​

Answers

Answer:

length = 15ft

width = 11ft

Step-by-step explanation:

p = 2L + 2w = 52ft

w = L - 4

Substitute: 2L + 2(L-4) = 52

Simplify and solve:

  2L + 2L - 8 = 52

  4L - 8 = 52

  4L = 60

  L = 15

  w = 15-4 = 11

Check:

2(15) + 2(11) = 52?

30 + 22 = 52!!!

PLEASE HELP!!
Two glasses of milk and 3 snack bars have a total of 67 carbohydrates (carbs), and 4 glasses of milk and 2 snack bars have a total of 82 carbs. Determine how many carbs are in one glass of milk and in
one snack bar

There are _____ carbs in one glass of milk

There are _____ carbs in one snack bar

Answers

Answer: The carbs in one glass of milk is 14 carbs and one snack bar is 10 carbs

Step-by-step explanation: Hope this helps!

Answer:

Step-by-step explanation:

78 and 10g

The volume of a cube with side s is s3. Edna bought a cube-shaped jewelry box that has 7-inch sides. What is the volume of the jewelry box?

Answers

The volume of the jewelry box will be;

⇒ 343 inch³

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The volume of a cube with side s = s³

And, Edna bought a cube-shaped jewelry box that has 7-inch sides.

Now,

Since,  Edna bought a cube-shaped jewelry box that has 7-inch sides.

Hence, The volume of the jewelry box = 7³

                                                           = 7 x 7 x 7

                                                           = 343 inch³

Thus, The volume of the jewelry box will be;

⇒ 343 inch³

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what are steps to solving 30,002-28,596

Answers

Answer:

1,406

Step-by-step explanation:

Marlon buys 9 packs of hot dogs. There are 6 hot dogs in each pack. After the barbecue, 35 hot dogs are left over. How many hot dogs were eaten

Answers

19 hotdogs were eaten.

Answer: 19

Step-by-step explanation:

9x6= 54

So there’s 54 hot dogs in total

Subtract the amount left

54-35= 19

There are 19 hot dogs left

Hope this helps!

3. The lines represented by the equations
6y +4x = 12 and 3y + 2x = 21 are
A. parallel
B. the same line
C. perpendicular
D. neither parallel nor perpendicular

Answers

The answer is A- parallel lines

SOLVE U
2u - 2/3 = - 3/4u+3
U =

Answers

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The value of u is 4/3

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

2u - 2/3 = -(3/4)u + 3

Add 2/3 on both sides.

2u = -(3/4)u + 3 + 2/3

Add (3/4)u on both sides.

2u + (3/4)u = 3 + 2/3

(8u + 3u) / 4 = (9 + 2)/3

11u/4 = 11/3

u/4 = 1/3

u = 4/3

Thus,

The value of u is 4/3

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5 divided by 1135………

Answers

Answer:

227

Step-by-step explanation:

just divide it by how many times it goes into 1135

Answer:

227

Step-by-step explanation:

7. Casey bought a 15.4-pound turkey and an 11.6-pound ham for Thanksgiving and paid $38.51. Her
friend Jane bought a 10.2-pound turkey and a 7.3-pound ham from the same store and paid $24.84.
Find the cost per pound of turkey and the cost per pound of ham.

Answers

Answer:

t = 1.195pounds.

Step-by-step explanation:

The cost per pound of Turkey and Ham are: 1.195pounds and 1.733pounds respectively.

By observing the question, we must notice this is a word problem and can be written mathematically thus;

For Casey:

15.4t + 11.6h = 38.51

For Jane:

10.2t + 7.3h = 24.84

Therefore, to find the cost per pound of Turkey and Ham, the pair of equations need to be solved simultaneously.

Therefore, we can make t the subject of the formula in equation (2) as follows;

t = (24.84 - 7.3h)/10.2

Therefore, we can substitute the value of t into equation (1) to get;

15.4{(24.84 - 7.3h)/10.2} + 11.6h = 38.51

37.51 - 11.023h + 11.6h = 38.51

0.577h = 1

h = 1.733pounds

Therefore, by substituting the value of h into equation 1, we get the value of t to be;

t = 1.195pounds.

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Answers

The solution is Option D.

The equation of the line is y = 28x

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

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

Given data ,

Let the total distance traveled by the car y = 476 miles

Let the total amount of gasoline x = 17 gallons

So , the equation of line is given by

y = mx + c

where m is the slope

Slope m = y /x

Substituting the value for y and x in the equation , we get

Slope m = 476 / 17

              = 28

Therefore , the equation of line is y = 28x  and the graph is given below

Hence , The equation of the line is y = 28x

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The price for 7/8 of a pound of almonds is $6.65 . What is the cost of 3 and 1/2 pounds at the same rate?

Answers

The cost of 3 and 1/2 pounds of almond at the same rate is $26.60.

What is a fraction?

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In the illustration given as m/n, it should be noted that m is the numerator and n is the denominator.

Since the price for 7/8 of a pound of almonds is $6.65, the fraction per pound will be done by dividing the amount for a pound by 7/8.

= $6.65 ÷ 7/8

= $7.6

The cost of 3 and 1/2 pounds at the same rate is:

= 3 1/2 × $7.6

= $26.60

In conclusion, the cost is $26.60.

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3.A cheetah runs 100 m in 6 seconds. At this rate, how long will it take the cheetah to run 150 m?​

Answers

Answer: 9 seconds

hope it was helpful (^ = ^)

Step-by-step explanation:

x=number of seconds

100m/6s=150/x

Cross multiply and make x the subject

100m(x)=150m(6s)

x=(150m x 6s)/100m = 9s

therefore it would take the cheetah 9 seconds to run the 150m

In ARST, r = 71 cm, /T=48° and /R=37°. Find the length of t, to the nearest 10th of
a centimeter.

Answers

In the given triangle, the length of side t is 87.7 cm

Calculating the length of a side in a triangle

From the question, we are to determine the length of t.

From the given information,

r = 71 cm

∠T = 48°

∠R = 37°

From the law of sines, we can write that

t / sin T = r / sin R

t / sin 48° = 71/sin 37°

t = (71 × sin 48°)/sin 37°

t = 87.6736

t ≈ 87.7 cm

Hence, the length of t is 87.7 cm

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