work out 2 ¼÷ ½ as a single fraction
Show all your working.

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]2\frac{1}{4}[/tex] ÷[tex]\frac{1}{2}[/tex] = [tex]\frac{9}{4}[/tex] ÷ [tex]\frac{1}{2}[/tex]

        [tex]=\frac{9}{4}*\frac{2}{1}\\\\\\=\frac{9}{2}\\\\\\=4\frac{1}{2}[/tex]


Related Questions

If you were to describe a reflection of triangle ABC, what information would you need to include in your description?

Answers

Answer:

you would add your points and where it is located

Step-by-step explanation:

The committee is planning a party and 150 guests are expected. Each table seats 12 people. How many tables will be needed to seat all 150 guests?

Answers

Answer:

You will need about 13 tables.

Step-by-step explanation:

I divided the number of guests by 12 and got 12.5 however you can't have half of a table so I rounded up and got 13.

how many numbers lie between square of 36 and 37​

Answers

Answer:

73 numbers

Step-by-step explanation:

36²

=36 × 36

=1,296

37²

=37 × 37

=1,369

The total number that lies between 36² and 37² = 37² - 36²

=1,369 - 1,296

= 73 numbers

This is to say that, there are 73 numbers between 36² (1,296 ) and 37² ( 1,369)

If the measure of arc HG = 93°, calculate angle HDG.

Answers

Answer:

  ∠HDG = 87°

Step-by-step explanation:

The angle made by two tangents is the supplement of the intercepted arc.

  ∠HDG = 180° -HG = 180° -93°

  ∠HDG = 87°

solve for j : 16 = j + -3

Answers

16 = j - 3
-j = -16 - 3
-j = -19
j = 19

Answer:

[tex]\boxed{j=19}[/tex]

Step-by-step explanation:

Hey there!

Given the following,

16 = j -3

Single out j

+3 to both sides

19 = j

Hope this helps :)

Which value of p makes the equation 18+ 2 (3p – 8) = –37 true?
O p = -7.83
O p = -6.5
O p = -5
O p = 2.05

Answers

Answer:

p = -6.5

Step-by-step explanation:

Given:

18+ 2 (3p – 8) = –37

Solving for p:

18+ 2 (3p – 8) = –3718 + 6p - 16 = -376p + 2 = -376p = -37 - 26p = -39p = -39/6p = -6.5

Option 2 is correct in the list

. Find the value of p for which 2x2 + 6x + 3p = 0 has reciprocal roots.​

Answers

Hello, the product of the roots is

[tex]\dfrac{3p}{2}[/tex]

So, if there are reciprocal roots, their product is 1, and then

[tex]\dfrac{3p}{2}=1<=> p=\dfrac{2}{3}[/tex]

Thank you

Ariel completes the square for the function y=x^2-16x+17. What is the function of the parabola?

Answers

Answer:

y = (x - 8)² - 47

Step-by-step explanation:

x² - 16x + 17 = 0

x² - 16x = -17

(-16) / 2 = -8

-8² = 64

x² - 16x + 64 = -17 + 64

(x - 8)² = 47

y = (x - 8)² - 47

If the data in a scatter plot form a nearly perfect circle, the Pearson correlation would be approximately ____.

Answers

Answer:

zero

Step-by-step explanation:

Pearson correlation coefficient represented by r is calculated by dividing  the covariance by the standard deviation of one variable(x) multiply by the standard deviation of the other variable(y).

A scatter plot diagram is a graphical display of data that in which these two variables are observed simultaneously.

A positive correlation is said to have a positive slope which means that the two variable x and y increases in x as there is increase in y.

On the other hand , when there is an increase in x and a decrease in y, the correlation between x and y is said to be negative and the corresponding regression line has a negative slope.

Occasionally, there may be no apparent association between x and y. In that wise, the data in the scatter plot diagram usually form a nearly perfect circle and are said to have a zero correlation.

Find the value of x. A. 40 B. 15 C. 28 D. 20

Answers

Answer:

x = 15

Step-by-step explanation:

Angle Formed by Two Secants = 1/2(DIFFERENCE of Intercepted Arcs)

2x +15 = 1/2 (10x+20 - 80)

Multiply by 2

4x+30 = (10x+20 - 80)

Combine like terms

4x+30 = 10x-60

Subtract 4x from each side

30 = 6x-60

Add 60 to each side

90 =6x

Divide by 6

15 =x

Answer:

B.) 15

Step-by-step explanation:

I got it correct on founders edtell

A cell phone plan costs $20 a month and includes 200 free minutes. Each additional minute costs 5 cents. Assume that you use your cell phone for at least 200 minutes a month. If x is the total number of minutes a month, then your total cost C is given by:

Answers

Answer:

The total cost C  = $10 + $0.05·x

Step-by-step explanation:

The given parameters are

The cost of the cell phone plan per month = $20

The number of minutes of free calls that one can make in a month = 200 minutes

The cost of additional minutes of cell phone call = 5 cent

5 cents to a dollar = $0.05

The total number of minutes of calls made in a month = x

The time duration of a person's usage of the cell phone in a month > 200 minutes

The total cost C of a person's usage per month is given by;

C = $20 + $0.05 × (x - 200) = $20 + 0.05·x - $10

C = $10 + $0.05·x

Where x > 200.

Answer:

The total cost C  = $10 + $0.05·x

Step-by-step explanation:

Tamara earns $15 an hour at her job working 25 hourse per week. If 21% of her paycheck goeas to taxes, what is Tamara's monthly cash inflow? (Assume this is her only source of income and that there are 4 pays per month.)

Answers

$15x25 = $375
375-21% = $296.25
$296.25x4 = $1185

Solve for x. 2x+5+6x-1=120​

Answers

Answer:

x=14.5

Step-by-step explanation:

2x+5+6x-1=120​

Combine like terms (combine all of the variables and then combine all of the constants)

8x+4=120

subtract 4 on both sides

8x=116

Divide 8

x=14.5

Hope this helps!

Performance Task
17. The graph shows the relationship between
the total cost and the number of pounds
of rice purchased
40
30
Total cost (5)
20
10
0
2 4 6 8
Amount of rice (lb)
Part A: What does (6, 18) represent?
Part B:Which point represents the unit
price?
Part C: How many pounds would you
have to buy for the total to be 512?
Explain how to find the answer

Answers

Answer:

Sorry but all I know is that part a is 6 pounds will cost $18

Step-by-step explanation:

Help fast plz are they similar or not

Answers

Not. They are not similar they are regular I think so
They are similar. You want to count the lines and see if they have the same amount then you check if they have the same amount on the coordiating side

does anyone know how to find square root quickly?

Answers

Answer: The quick way is to square the half of it.

Step-by-step explanation: You divide your main number by 2 and figure out that half. If it is still too big, divide by 2 again. If you need to keep repeating that is fine. Thank you multiply your answer by however many times you divided by 2.

Answer:

Step-by-step explanation: Make a perfect square list

This is one that goes to 15

[tex]\sqrt{1} \sqrt{4} \sqrt{9} \sqrt{16} \sqrt{25} \sqrt{36} \sqrt{49} \sqrt{64} \sqrt{81} \sqrt{100} \sqrt{121} \sqrt{144} \sqrt{169} \sqrt{196} \sqrt{225}[/tex]

1      2  3    4    5    6     7    8    9     10    11     12    13     14    15

The numbers on top are the square root and the numbers under are the answer or squared numbers. There is also a way to solve them if the number is between a number in the list like 18 but i don't feel like explaining that this is just the basic squares.

Factor ^2 - 4x + 4.
x^2 - 4x +4=

Answers

Answer:  (x-2)(x-2)

This is the same as [tex](x-2)^2[/tex]

============================================

Explanation:

The middle coefficient is -4 and the last term is 4.

We need to find factors of the last term that add to the middle coefficient.

Here is a list of all ways to multiply two integers to get 4, and the sum of each pair of factors.

-1 + (-4) = -5-2 + (-2) = -42 + 2 = 41 + 4 = 5

The second row of that list above is what we're after. So

-2 + (-2) = -4

-2 * (-2) = 4

Meaning the factorization is (x-2)(x-2). Note the "-2" values in each factor

We can use the FOIL rule or distribution to go from (x-2)(x-2) back to x^2-4x+4 to confirm the answer.

An amount of #550,000.00 was realised when a principal,x was saved 2% simple interest for 5 years. Find the value of x​

Answers

Answer:

x = 250,000

Step-by-step explanation:

A = P(1 + rt)

550,000 =  x (1 +2% x 60)

550,000/(1 +2% x 60) = 250,000

x = 250,000

Check your answer

A = 250,000 (1+2%x60)

A = 550,000

pls mark brainliest

two angle in a triangle message 2x+30 degree and 5x+30 degree respectively if these angle are congruent, what is the value in degree of X

Answers

Answer:

x = 0

Step-by-step explanation:

two congruent angles 2x + 30 and 5x + 30

2x + 30 = 5x + 30

2x = 5x

2x + (-5x) = 5x + (-5x)

-3x = 0

x = 0 / -3

x = 0

The value of x will be;

⇒ x = 0

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Two angle in a triangle 2x+30 degree and 5x+30 degree are congruent.

Now,

Since, Two angle in a triangle 2x+30 degree and 5x+30 degree are congruent.

Hence, We get;

⇒ 2x + 30 = 5x + 30

Solve for x as;

⇒ 30 - 30 = 5x - 2x

⇒ 0 = 3x

⇒ x = 0

Thus, The value of x = 0

Learn more about the triangle visit:

https://brainly.com/question/17335144

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Write an equation of the line and interpret the slope.

Answers

Slope = y-y/x-x
= (0-3)/(0-2)
= -3/-2
=3/2

It crosses the y axis at 0 so b = 0

y = mx + b
y = 3/2x + 0
In other words,

y = 3/2x

Good luck!

The estimation of the product of 52 and 188 is equal to what​

Answers

Answer:

[tex]\huge \boxed{\mathrm{10,000}}[/tex]

Step-by-step explanation:

We have to estimate the two numbers, we can round up the two numbers to nearest tens.

Estimate 52 to 50.

52 ≈ 50

Estimate 188 to 200.

188 ≈ 200

The estimated product would be:

200 × 50 = 10,000

Answer:

10000

Step-by-step explanation:

pls mark as brainliest

please help me on both with a explanation Will make you brainliest

Answers

Answer:

a...is wrong because it doesnt have a common denominator ..and its not a rational exponent .

11/12=0.916

in second one denominators are common and it is a rational exponent .

so the answer is b..

2/12=1/6

9/12=3/4

as you can see the denominator are common and its a rational exponent .

Jasmine found a wooden jewelry box shaped like a right rectangular prism. What
is the volume of the jewelry box?
8 cm
6 cm
14 cm

Answers

Answer:

8cm

Step-by-step explanation:

8 because [tex]\sqrt[3]{8}[/tex] is 2

Answer:

672 cubic cm

Step-by-step explanation:

Hello!

To find the volume of a rectangular prism we use the equation

V = whl

V is volume

w is width

h is height

l is length

Put in what we know

V = 8 * 6 * 14

Solve

V = 672 cubic cm

The answer is 672 cubic cm

Hope this helps!

PLEASE SHOW ALL WORK NEED ASAP GIVING BRAINLIEST

Answers

Step-by-step explanation:

From the figure we observe :

Length of laundry room (G) = C - H

G = (4x - 2) - (x + 6) = 3x - 8

Breadth of laundry room (F) = K - E

F = (2x - 5) - (x - 13) = x + 8

(A) Perimeter = 2(L + B)

= 2(4x)

= 8x

(B) Area = L * B

= (3x - 8) * (x + 8)

= 3x^2 + 16x - 64

Triangle QRS is a right triangle with the right angle at vertex R. The sum of m∠Q and m∠S must be equal to 45°. greater than 45° and less than 90°. equal to 90°. greater than 90° and less than 180°.

Answers

Answer:

     The sum of m∠Q and m∠S must be equal 90°

Step-by-step explanation:

The measure of right angle is 90°

The sum of measures of angles in any triangle is 180°

so:

m∠Q + m∠S + ∠R = 180°

m∠Q + m∠S + 90° = 180°

m∠Q + m∠S = 180° - 90°

m∠Q + m∠S = 90°

In right triangle QRS with ∠R = 90° , the sum of m ∠Q and m ∠S must be equal to 90°.

What is right triangle?

"Right triangle is defined as the two dimensional figure with three sides and three vertices and angles enclosed in it, with one of the interior angle is of 90°."

Condition used

In ΔQRS

∠Q +  ∠R + ∠S = 180°

According to the question,

Given,

In right triangle ΔQRS,

∠R = 90°

Substitute the value in the above condition of triangle we get,

  ∠Q + 90° + ∠S =180°

⇒ ∠Q + ∠S =180°- 90°

∠Q + ∠S = 90°

Hence, in right  triangle QRS with ∠R = 90° , the sum of m ∠Q and m ∠S must be equal to 90°.

Learn more about right triangle here

https://brainly.com/question/6322314

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AC = 5x - 8 and CD = 16 - 3x
x=
AD=​

Answers

Answer:

Step-by-step explanation:

5x - 8 = 16 -3x

8x - 8 = 16

8x = 24

x = 3

AC= 5(3) - 8 = 15 - 8 = 7

CD= 16 - 3(3) = 16 -9 = 7

7 + 7 = 14 = AD

The value of x and AD such that C is the midpoint of AD is 3 and 14 respectively.

What is a line segment?

A line section that can connect two places is referred to as a segment.

In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.

The line is here! It extends endlessly in both directions and has no beginning or conclusion.

Given the line segment AD with mid-point C

So,

AC = CD

5x - 8 = 16 - 3x

8x = 16 + 8

x = 3

So,

AD = 5x - 8 + 16- 3x

AD = 2x + 8

AD = 2(3) + 8 = 14

Hence "The value of x and AD such that C is the midpoint of AD is 3 and 14 respectively".

For more about line segment,

https://brainly.com/question/25727583

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how to do this question plz answer me step by step plzz plz plz ​

Answers

Answer:

  no

Step-by-step explanation:

The circumference of a table is ...

  C = πd = π(180 cm) ≈ 565.5 cm

At 70 cm/guest, a table will accommodate ...

  565.5 cm/(70 cm/guest) = 8.08 guests

At 8 guests per table, the available 18 tables will accommodate ...

  (18 tables)(8 guests/table) = 144 guests

There is not enough space at 18 tables for 145 guests.

Answer:

No, it's not.

Step-by-step explanation:

First, find the circumference of the table:

C = 2πr

= 2 × 22/7 × 180/2

NOTE: Diameter/2 is equal to the radius because half of Diameter is a radius.

= 44/7 × 90

= 3,969/7

= 565.71 approximately 566cm²

Next, find how many guests can occupy a table:

566/70 = 8.08 approximately 8 guests.

Now, how many guests will be in 18 tables?

18 × 8 = 144 guests, but we need 145 guests, so it is not enough.

can someone just answer these lol idk what to say .

Answers

Answer:

1.) -11x        2.)-2x

NEED HELP ASAP ALGEBRA 2​

Answers

Answer:

15

Step-by-step explanation:

Use the pythagorean theorem.

A² + B² = C²

In this case, A = 8, B is unknown, and C = 17. B is the side that we want to calculate.

8² + B² = 17²

64 + B² = 289

B² = 225

B = √225 = 15

select the equivalent expression

Answers

Answer:

B

Hoped I helped

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