Write an equivalent multiplication expression. Then, find the quotient in its simplest form. Use a model to support your response. 1 4 ÷ 2 and 2 3 ÷ 6

Answers

Answer 1

Step-by-step explanation:

Let the integers be a, b and c. To model the expression generally;

[tex]\dfrac{a}{b} \div c = \dfrac{a}{b} \times \dfrac{1}{c}\\= \dfrac{a}{bc}[/tex]

Using the model to solve the following expression given

a)  [tex]\dfrac{1}{4} \div 2[/tex]

[tex]= \dfrac{1}{4} \times \dfrac{1}{2}\\= \dfrac{1}{4*2}\\= \dfrac{1}{8}[/tex]

b)

[tex]= \frac{2}{3} \div 6 \\= \dfrac{2}{3} \times \dfrac{1}{6}\\= \dfrac{2}{3*6}\\\\= \dfrac{2}{18}\\= \dfrac{2}{9}[/tex]


Related Questions

HELP PLSS

What is the slope of the line that passes through the points (-2, -5) and (6, 7)?

Answers

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[tex]slope = \frac{7 - ( - 5)}{6 - ( - 2)} \\ [/tex]

[tex]slope = \frac{7 + 5}{6 + 2} \\ [/tex]

[tex]slope = \frac{12}{8} \\ [/tex]

[tex]slope = \frac{4 \times 3}{4 \times 2} \\ [/tex]

[tex]slope = \frac{3}{2} \\ [/tex]

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Answer:

3/2

Step-by-step explanation:

use the slope formula to solve

y2-y1 is 7- (-5) = 12

x2-x1 is 6- (-2) = 8

the formula is y2 -y1 over x2-x1 so

12/8

simplify it to 3/2 (fraction answer)

convert it to decimal if needed: 1.5 (decimal answer)

The vertices of a rectangle are R(–5, –5), S(–1, –5), T(–1, 1), and U(–5, 1). After translation, R' is the point (–11, –11). Find the translation rule and coordinates of U'.

Answers

Answer:

The original coordinate of

R is (-5, -5)

The new coordinate of

R is (-11, -11)

The translation rule is ( x - 6, y - 6)

The original coordinate of

U is (-5, 1)

The new coordinate of

U is (-5 - 6, 1 - 6)

which is

(-11, -5)

U' = (-11, -5)

Answer:

(x, y) --> (x – 6, y – 6); (–11, –5)

Step-by-step explanation:

Subtract 6 from both the x and y coordinates of U to get (-11, -5).

Find the 50th term of this arithmetic sequence:

6, 13, 20, 27, . . .

Answer:

Answers

Answer:

346380

Step-by-step explanation:

hope you gwt an a

Which function translates each point on the graph of y=mx+b so that the slope of the segment from the original point to the translated point is 43?

Answers

Answer:

s(x)=32mx+b

Step-by-step explanation:

It should be this

average rainfall in clearview is 38in
this year 29.777in fell. how much less rainfell this year than falls in a average year?

Answers

Answer: 8.223in less rain fell today.

Step-by-step explanation:

38in. - 29.777in. = 8.223in

Solve for x in the equation
4*+2=1​

Answers

Answer:

x=(-1)/4

Step-by-step explanation:

4x=1-2

4x=(-1)

x=(-1)/4


You randomly select one truck owner. What is the probability that he owns a Dodge or has four
wheel drive?

Answers

Answer:

50%

Step-by-step explanation:

hope this helped

this would be 50% of owning a dodge

8. If k = log2 3 then log2 48 =

Answers

Answer:

16k

Step-by-step explanation:

k=3log2

k=(48\16) log2

16k= 48log2

16k=log2 48

Numbers can be expressed in logarithms.

The value of [tex]\mathbf{log_248}[/tex] is [tex]\mathbf{k + 4}[/tex]

The expressions are given as:

[tex]\mathbf{k = log_23}[/tex]

[tex]\mathbf{log_248}[/tex]

Express 48 as 3 * 16

[tex]\mathbf{log_248 = log_2(3 \times 16)}[/tex]

Split

[tex]\mathbf{log_248 = log_2(3) + log_2(16)}[/tex]

Express 16 as 2^4

[tex]\mathbf{log_248 = log_2(3) + log_2(2^4)}[/tex]

Rewrite as:

[tex]\mathbf{log_248 = log_2(3) + 4log_22}[/tex]

In logarithms:

[tex]\mathbf{log_aa = 1}[/tex]

So, we have:

[tex]\mathbf{log_248 = log_2(3) + 4(1)}[/tex]

[tex]\mathbf{log_248 = log_2(3) + 4}[/tex]

Substitute [tex]\mathbf{k = log_23}[/tex]

[tex]\mathbf{log_248 = k + 4}[/tex]

Hence, the value of [tex]\mathbf{log_248}[/tex] is [tex]\mathbf{k + 4}[/tex]

Read more about logarithms at:

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1092 is divisible into.?

Answers

Answer:

1092 is divisible into 1, 7, or 1092.

Step-by-step explanation:

Step-by-step explanation:

1092 / 1 = 1092

1092 / 2 = 546

1092 / 3 = 364

1092 / 4 = 273

1092 / 6 = 182

1092 / 7 = 156

1092 / 12 = 91

1092 / 13 = 84

1092 / 14 = 78

1092 / 21 = 52

1092 / 26 = 42

1092 / 28 = 39

1092 / 39 = 28

1092 / 42 = 26

1092 / 52 = 21

1092 / 78 = 14

1092 / 84 = 13

1092 / 91 = 12

1092 / 156 = 7

1092 / 182 = 6

1092 / 273 = 4

1092 / 364 = 3

1092 / 546 = 2

1092 / 1092 = 1

3(x + 1) = -2(x - 1) - 4

Answers

Answer:

x = -1

Step-by-step explanation:

1. Distribute

3x + 3 = -2x + 2 - 4

2. Simplify

-2x + 2 - 4

2-4 = -2

-2x - 2

3. Solve

3x + 3 = -2x - 2

+2x       +2x

4. Cont. Solving

5x + 3 = -2

     -3     -3

5x = -5

5. Divide by 5

5x = -5

/5      /5

x = -1

Hope this helped,

Kavitha Banarjee

anyone know how to do this one??

Answers

Answer:

y=1/3x+5

Step-by-step explanation:

y=1/3x+5 have a nice day hope you get it right

A music teacher arranged 304 chairs in a rows for a concert. She puts 16 chairs in each row. How many rows of chairs did she arrange? A) 20 B) 16 C) 22 D) 19

Answers

Answer:

19 rows.

Step-by-step explanation:

304/16

=19.

Hope this helped!

d) 19
you divide 304 by 16

Alaina went to Applebee’s for dinner with some friends. The bill came to $87.43 but one of her friends had a 12% off coupon. How much did they save with the coupon?

Answers

Answer:

They saved $10.49

Step-by-step explanation:

.12 X 87.43 = 10.4916

10.4916 rounded up is 10.49

HELPPPPPP NOWWWWWE PLEASEEEE

Answers

Answer:

answer is C

Step-by-step explanation:

because they make linear

I believe the answer is D to make a linear.

Callan goes for a hike every Saturday. Callan hikes at a rate of 3 miles per hour.
Complete the table for the given ratio.

Answers

Answer:

(1) 27 meters. (2, 3) Both distances in miles (y) are 10 miles (y)

Step-by-step explanation:

For the first question, every mark represents 9 meters. and 9 multiplied by 3 is 27.For the second half, look at the y section and see that the dots are a line higher than 9. So they both have 10 as y.

The equation y = 1.2x represents the rate, in beats per second, that Lee's heart beats. The graph represents the rate that Nancy's hear beats. Determine whose heart is beating at a faster rate.

Answers

Answer:

Nancy's heart rate is higher than Lee's heart rate.

Step-by-step explanation:

Equation for the heart beats of Lee is,

y = 1.2x

And the heart beats of Nancy is represented by the graph.

Higher the slope of the line = Faster the hear rate.

Slope of line represented by y = 1.2x,

m = 1.2

Similarly, slope of the line given in the graph = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

                                                                           = [tex]\frac{5}{4}[/tex]

                                                                           = 1.25

Since, slope of the line representing Nancy's heart rate is greater than slope of the line representing Lee's heart rate.

Therefore, Nancy's heart rate is faster than Lee's heart rate.

what is 3.14 times 5 divided by 7​

Answers

Answer:

[tex] \huge{ \boxed{ \bold{ \boxed{ \tt{2.24}}}}}[/tex]

Question : 3.14 times 5 divide by 7

: [tex] \sf{3.14 \times \frac{5}{7 }} [/tex]

Step by step explanation :[tex] \bold{ \sf{3.14 \times \frac{5}{7}}} [/tex]

To multiply one fraction or number by another fraction , multiply the numerators for the numerator, and multiply the denominator for it's denominator.

➺ [tex] \bold{ \sf{ \frac{3.14 \times 5}{7}}} [/tex]

➺[tex] \bold{ \sf{ \frac{15.7}{7}}} [/tex]

➺[tex] \bold{ \boxed{ \sf{2.24}}}[/tex]

Hope I helped !

Have a wonderful time ! ッ

~TheAnimeGirl

Emilia went out to eat dinner, and the meal cost $20.00. If Emilia received a 30% discount, what was the total value of the discount?

Answers

The answer would be $12. You would need to change the 30% to 0.3 then multiply by $20. Then take the -$6 and subtract it by $20.

What is the domain and range
What is the x-intercept
What is the y-intercept

Answers

Answer:

Domain: (-∞,∞)

Range: (-∞,∞)

**All real numbers,is an alternative to (-∞,∞)

x-intercept: -3

y-intercept: 5

Which are solutions of 1 < 3x-2 < 13? Choose all correct answers.

PLEAE HELP ME AND ANSWER CHOICES ABOVE!!

Answers

Answer: D. 5 > x > 1

1 < 3x -2 < 13

<=> 3 < 3x < 15

<=> 1< x < 5

Step-by-step explanation:

x>1 and x<5 and 1<x<5 are  the solution of the inequality 1 < 3x-2 < 13.

What is Inequality?

a relationship between two expressions or values that are not equal to each other is called 'inequality.

The given inequality is 1 < 3x-2 < 13

One less than three times of x minus two less than thirteen.

We need to find the solution of the inequality.

Let us divide the given inequality into two parts

3x-2>1 and 3x-2<13

For first inequality

3x-2>1

3x>3

x>1

and the second inequality  3x-2<13

3x<15

x<5

Hence, x>1 and x<5 and 1<x<5 are  the solution of the inequality 1 < 3x-2 < 13.

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Find the slope of the line passing through the points (6, 1) and (6,-6).

Answers

Answer:

Slope = undefined

Step-by-step explanation:

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

(6, 1)

(6, -6)

1 - (-6)/6 - 6= 7/0

Slope = undefined

For reference:

0/x = 0

x/0 = undefined

Hope this helps!

Which of these graphs represents a function?

Answers

Answer:

Graph x

Step-by-step explanation:

X because of the line test

What 10 x 13x 5 x6 x8 x9 x9 x0

Answers

Answer:

0

Step-by-step explanation:

If those x's are NOT variables, then the answer is 0. The x is a multiplication sign, right?

A chef locates a pre-made tuna salad that is nearly identical to the one she makes from scratch in her sandwich shop. To make it from scratch, an $8.25/hour employee needs 20 minutes to prepare the tuna salad. The ingredients cost $12.18 and yield 10 four-ounce servings. The chef can purchase the pre-made tuna salad at $26.99 for a 5# tub. Calculate the cost per portion for the scratch-made and the premade versions. If cost were the only factor, should the chef make or buy this product?

Answers

Correct question

A chef locates a pre-made tuna salad that is nearly identical to the one she makes from scratch in her sandwich shop. To make it from scratch, an $8.25/hour employee needs 20 minutes to prepare the tuna salad. The ingredients cost $12.18 and yield 10 four-ounce servings. The chef can purchase the pre-made tuna salad at $26.99 for a 5 pound tub. Calculate the cost per portion for the scratch-made and the premade versions. If cost were the only factor, should the chef make or buy this product?

Answer:

If cost were the only factor, the chef should not make version of the tuna salad from scratch because it is expensive that the premade version

Step-by-step explanation:

For tuna: Made from scratch

The ingredients cost $12.18 and yield 10 four-ounce servings.

10 servings = $12.18

1 serving = x

10 × x = 1 × $12.18

x = $12.18/10

x = $1.218

Hence, 1 four ounce serving cost $1.218

The chef can purchase the pre-made tuna salad at $26.99 for a 5# tub.

5 pound tub salad = $26.99

1 pound tub of tuna salad = x

5 × x = 1 × $26.99

x = $26.99/5

x = $5.398 per pound

Converting to ounces

0.0625 pound = 1 ounce

5 pound = x

x = 5/0.0625

x = 80 ounces

80 ounces of tuna salad = $5.398

4 ounces of tuna salad = x

80 × x = 4 × $5.398

x = 4 x 5.398/80

x = $0.2699

Hence, 1 4 ounce pre made tuna salad cost = $0.2699

Hence, the cost per portion for the scratch-made is $1.218 per 4 ounces servings and the premade versions is $0.2698 per 4 ounce servings

If cost were the only factor, the chef should not make version of the tuna salad from scratch because it is expensive that the premade version

As a nurse in a maternity ward, you are tracking the weights of newborn babies. In the month of August, 360 babies are born, with a mean weight of 8.1 pounds. In the month of September, 291 babies are born, with a mean weight of 7.8 pounds.

what, approximately, is the mean weight for babies born during the two-month.?

7.83 pounds

7.93 pounds

7.95 pounds

7.97 pounds

7.99 pounds​

Answers

7.95 lbs because you have the mean of both months to get the mean of the two months take the two numbers 7.8+8.1/2 to get the mean of the two months

Answer:

C

Step-by-step explanation:

Instructions: Find the measure of the indicated angle to the nearest degree.

Answers

Answer:

23

Step-by-step explanation:

m∠A=cos⁻¹(35/38) = 22.91954215

round your answer to the nearest tenth.

23 degrees is the measure of the indicated angle in the triangle.

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

The given triangle is a right angled triangle.

The side lengths of triangle are 35 and 38.

We have to find the measure of the angle opposite to the right angle.

By using cosine function formula we calculate it.

CosA=Adjacent side/Hypotenuse

CosA=35/38

m∠A=cos⁻¹(35/38)

= 22.91954215

Hence, 23 degrees is the measure of the indicated angle.

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y-intercept. y = -3/2x

Answers

Answer:

i hope you find the answer but unfortunaatly im not sure

Step-by-step explanation: thankyou for the points though :)

What is the y intercept of 4y+9x=18

Answers

Answer:

y = 9(2 - x)/4

Step-by-step explanation:

1.) Subtract 9x from both sides.

4y = 18 - 9x

2.) Divide both sides by 4.

y = 18 - 9x/4

3.) Factor out the common term 9.

y = 9(2 - x)/4

My words:

Hope this helps you and let me know if you need help again, also have a blessed day or night, also could I have brainliest for this?

The y intercept of the equation of the line  4y+9x=18 is 4.5.

What is defined as the y-intercept of the line?The point at which the graph intersects this same y-axis is known as the y-intercept. Finding the intercepts of any function of the form y = f(x) is critical when graphing. A function can have one of two types of intercepts. They are recognized as the x and y intercepts. An intercept of the a function is the point at which the function's graph intersects the axis.

For the given question,

The equation of the line is given as;

4y+9x=18

Write the equation in slope intercept form.

y = mx + c

Where, m is the slope and c is the y intercept.

4y = -9x + 18

y = -9x/4 + 9/4

y = -9x/4 + 4.5

Comparing with the standard form, y intercept is found as 4.5.

Thus, the y intercept of the equation of the line  4y+9x=18 is 4.5.

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10.) A fitness center
charges a $100 initiation
fee plus $40 per month.
f(m) =

Answers

Answer: f(m)=40x+100
The Fitness center charges $40 per month(your x) and it is a $100 initiation(your y)

Answer:

f(m)=40x+100

Step-by-step explanation:

40 is your rate which is x and 100 is the initial fee which is y.

In a certain​ chemical, the ratio of zinc to copper is 4 to 13. A jar of the chemical contains 286 of copper. How many grams of zinc does it​ contain?

Answers

Answer: It contains 88 g of zinc.

Step-by-step explanation:

Given: The ratio of zinc to copper is 4 to 13.

Ratio can be written as [tex]\dfrac4{13}[/tex]

A jar of the chemical contains 286 g of copper.

Let the quantity of zinc be x.

By using the direct proportion rule:[tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]

[tex]\dfrac{x}{286}=\dfrac{4}{13}\\\\ x=\dfrac{286\times4}{13}\\\\\Rightarrow\ x=88[/tex]

Hence,  It contains 88 g of zinc.

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