What is the solution to the equation below? ½ x+¾=⅔

Answers

Answer 1

Answer:

[tex] \boxed{x = - \frac{1}{6}} [/tex]

Step-by-step explanation:

[tex] = > \frac{1}{2} x + \frac{3}{4} = \frac{2}{3} \\ \\ = > \frac{1}{2} x = \frac{2}{3} - \frac{3}{4} \\ \\ = > \frac{1}{2} x = ( \frac{2}{3} \times \frac{4}{4} ) - (\frac{3}{4} \times \frac{3}{3} ) \\ \\ = > \frac{1}{2} x = \frac{8}{12} - \frac{9}{12} \\ \\ = > \frac{1}{2} x = \frac{8 - 9}{12} \\ \\ = > \frac{1}{2} x = - \frac{1}{12} \\ \\ = > x = 2 \times ( - \frac{1}{12} ) \\ \\ = > x = - \frac{1}{6} [/tex]


Related Questions

What is the Surface Area of the prism, in square centimeters?

Answers

Answer:

[tex]2( \frac{1}{2} \times 4 \times 6 ) + 2( 5 \times 10 ) + ( 6 \times 10 )[/tex]

[tex]= {184cm}^{2}[/tex]

Find the exact valu
triangle.
variable that represents a side length in a right

Answers

Are there answer choices


Order each set of numbers from LEAST to GREATEST.

-4 , -5/4 , 0 , -5, -1.5

Answers

-5, -4, -1.5, -5/4, 0

Answer:

-5, -4, -1.5, (-5/4) -1.25, 0

Step-by-step explanation:

The higher the negative the lower the number (least).

~Anna

Need help? Contact me for tutoring!

HELP I NEED THIS ASAP! IF ANYONE CAN HELP ME SOLVE THIS I WOULD BE REALLY GRATEFUL!

Answers

Answer:

First, you work out the 3 and Tail from the table: T3: 62

Then you add up all values from the table:

S = 43 + 49 + 54 + 65 + 71 +62 = 344

Then the probability of next toss and spin is 3 and Tail is:

P = T3/S = 62/344 = 0.18

A custodian carries a large key ring. The key ring has a radius of 4 centimeters. What is the key ring's circumference?

Answers

Answer:

About 25.13

Step-by-step explanation:

circumference equation: 2pi(r)

2pi(4) = 25.13

I really need help can somebody help me please

Answers

Answer:

To find out the range, you check the minimum and maximum of the graph, and then check the y-component of these minimum and maximum.

You would get the minimum(-6, -6), and maximum(3, 4), get the y-component of these two points, you got the range: -6 to 4

Hope this helps!

:)

Analyze the diagram below and complete the instructions that follow.Find cos 45°

Answers

Answer: [tex]\frac{\sqrt{2} }{2}[/tex]

Step-by-step explanation: On the unit circle

Answer:

b

Step-by-step explanation:

HHELP HELP PLZZ PLZ SHOW WORK PLZZZZZ

Answers

Answer:

B. 43.3

Step-by-step explanation:

Find the area of one of the triangles:

[tex]\frac{1}{2} *b*h[/tex]

[tex]\frac{1}{2} *5*4.33=10.825[/tex]

10.825*4=43.3

Answer:

B.) 43.3 square centimetres

Step-by-step explanation:

The height is 4.33 cm and the side length is 5 cm. The surface area of the net would be the sum of the areas of all the triangles, which is 4 triangles. Since they are equilateral triangles, you can multiply. Use the formula for the area of a triangle:

[tex]A=\frac{1}{2} bh[/tex]

Insert the values:

[tex]A=\frac{1}{2} *4.33*5[/tex]

Simplify:

[tex]A=\frac{1*4.33*5}{2} \\\\A=10.825[/tex]

Multiply the area of one triangle by 4:

[tex]10.825*4=43.3[/tex]

The surface area of the pyramid is [tex]43.3[/tex] [tex]cm^2[/tex]

:Done

What is the perimiter of the rectangle? Write your answer in scientific notation.
6.2 x 10^6cm (perimiter)

Answers

You go to a poop school if they teach u that poop

Answer:

68cm

Step-by-step explanation: this is the right answer :)

Find the slope: (-1,5) and (2,-3)

Answers

Answer:

-2/3

Step-by-step explanation:

Answer:

(-3-5)/(2-(-1))=-8/3

Step-by-step explanation:

Solve if u r genius

11*11=4
22*22=16
33*33=?​

Answers

Answer:

36

Step-by-step explanation:

bc 11*11=2*2=4      

22*22=4*4=16

33*33=6*6=36

u add 1 and 1 together

then u add 2 and 2 together and then u add the 3 and 3 together to get 2, 4 and 6

Answer:

The answer is 36.

Step-by-step explanation:

This is a brain-solving question :

(1+1)×(1+1)

= 2×2

= 4

(2+2) × (2+2)

= 4×4

= 16

(3+3) × (3+3)

= 6×6

= 36

is the square root of .036 a rational number?

Answers

The square root of 0.36

= [tex]\sqrt{0.36}[/tex]  = 0.6

ans: 0.36

Happy to help!

Chris tried to rewrite the expression \left( 4^{-2} \cdot 4^{-3} \right)^{3}(4 −2 ⋅4 −3 ) 3 left parenthesis, 4, start superscript, minus, 2, end superscript, dot, 4, start superscript, minus, 3, end superscript, right parenthesis, cubed. \begin{aligned} &\phantom{=}\left( 4^{-2} \cdot 4^{-3} \right)^{3} \\\\ &=\left( 4^{-5} \right)^{3}&\text{Step } 1 \\\\ &=4^{-2}&\text{Step } 2 \\\\ &=\dfrac{1}{4^{2}}&\text{Step } 3 \end{aligned} ​ =(4 −2 ⋅4 −3 ) 3 =(4 −5 ) 3 =4 −2 = 4 2 1 ​ ​ Step 1 Step 2 Step 3 ​ Did Chris make a mistake? If so, in which step? Choose 1 answer: Choose 1 answer: (Choice A) A Chris did not make a mistake. (Choice B) B Chris made a mistake in Step 1. (Choice C) C Chris made a mistake in Step 2. (Choice D) D Chris made a mistake in Step 3.

Answers

Answer: Chris made a mistake in step 2

(It was in Khan Academy)

Answer:

Chris made a mistake in step 2.

Step-by-step explanation:

I was solving this problem just now and I searched it up here. Now I got the answer :)

You are going to the grocery to buy the candies for you and your sisters/brothers. You want to buy
chocolates and gums. Each chocolate costs 1.50 AED and each gum costs 0.50 AED. At the end you spent a total
of 78.50 AED. You bought a total of 87 chocolates and gums combined. You must report the number of
chocolates bought and the number of gums bought. How many chocolates were bought and how many gums
were bought?

Answers

Answer: 35 chocolates were bought and 52 gums were bought.

Step-by-step explanation:

c + g = 87    where c is the number of chocolate and g is the number og gums

1.50c + 0.50g = 78.50    solve both equations by elimination.

-1.50c - 1.50g =  -130.5

1.50   + 0.50g = 78.50

           -1g =  -52

             g= 52

1.50c + 0.50(52) = 78.50

 1.50c + 26 = 78.50

             -26     -26

1.50c = 52.5

c = 35  

winnie and kevin like to create their own triathlon courses to challenge each other. last weekend, winnie created a course that included a swim of 5/4 kilometers , a bike ride of 95/4 kilometers and a run of 21/4 kilometers. how long was the course winnie created?

Answers

Answer:

121/4

Step-by-step explanation:

no need

Length of the track = 121/4 kilometers

What is length?

Length is used to measure the distance between two points. Length is the longest dimension of a figure and it shows how long the given object or figure is. It is expressed in linear units like meters, centimeters, inches, and so on.

Given,

swimming course length = 5/4 kilometers

Bike track length = 95/4 kilometers

Running track length = 21/4 kilometers

Total length of the course = 5/4 + 95/4 + 21/4

                                            = (5 + 95 + 21)/4

                                            = (100 + 21)/4

                                            = 121/4 kilometers

Hence, 121/4 kilometers is the length of the course.

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What is 2x+3=x+15 pls help

Answers

Answer:

x = 12

Step-by-step explanation:

2x+3=x+15   (subtract x from both sides)

2x + 3 - x = x + 15 - x

x + 3  = 15 (subtract 3 from both sides)

x + 3 - 3 = 15 - 3

x = 15-3

x = 12

what is between 1/6 and 2/6 on a number line

Answers

Answer:

3/12 or 1/4

Step-by-step explanation:

To find what is between, we have to use the formula:

x + y= z

z/2 = midpoint!

So, we can do that with this number.

1/6 + 2/6 = 3/6. We could simplify it, but let’s keep it at 3/6

3/6 divided by 2 = 3/6 · 1/2 = 3/12

So, the midpoint would be 3/12.

How many pennies are equal to 6 dimes?

Answers

Answer:

60 pennies

Step-by-step explanation:

Answer:

60 pennies

Step-by-step explanation:

On Bianca's 5th birthday gift of $100 cash from her dad. Bianca's dad promises to double her money
yearly if Bianca plans to not spend money but instead deposit into "daddy's - super-saving - account".
Will Bianca be able to afford her dream car, a Mini Cooper worth $30,000 when she turns 16? Use words,
numbers, and tables to explain your answer.

Answers

Answer:

Bianca would be able to afford her dream car conveniently when she turns 16.

Step-by-step explanation:

Bianca was 5 years and wish to project her savings for the next 11 years.

On her 5th birthday, she saves $100

Her dad promises to double her money yearly with respect to a condition. So that;

On her 6th birthday, she would save $ 200

On her 7th birthday, she would save $400

On her 8th birthday, she would save $800

On her 9th birthday, she would save $1600

On her 10th birthday, she would save $ 3200

On her 11th birthday, she would save $ 6400

On her 12th birthday, she would save $12800

On her 13th birthday, she would save $25600

On her 14th birthday, she would save $51200

On her 15th birthday, she would save $102400

On her 16th birthday, she would save $204800

When she turns 16, she would have a total sum of $409500.

Therefore, Bianca would be able to afford her dream car conveniently when she turns 16.

The radius of a circle is 6mm. What is the area of the shaded portion of the circle.

Answers

The area of the shaded portion of the circle is [tex]\frac{29\pi}{3} \ mm^{2}[/tex]. The correct option is b) 29 π mm² got to station 3

Area of a sector

From the question, we are to determine the area of the shaded portion.

The shaded portion in the circle is the major sector.

The area of a sector is given by the formula,

[tex]A = \frac{\theta}{360 ^\circ} \times 2\pi r[/tex]

Where [tex]\theta[/tex] is the angle subtended by the sector

and r is the radius of the circle.

From the given information,

r = 6 mm

and [tex]\theta[/tex] is the angle subtended by the major sector

Therefore

[tex]\theta = 360^\circ - 70^\circ[/tex]

[tex]\theta = 290^\circ[/tex]

Putting the parameters into the formula, we get

[tex]A = \frac{290^\circ}{360 ^\circ} \times 2\pi \times 6[/tex]

Simplifying

[tex]A = \frac{29}{3} \tim\pi \ mm^{2}[/tex]

Hence, the area of the shaded portion of the circle is [tex]\frac{29\pi}{3} \ mm^{2}[/tex]. The correct option is b) 29 π mm² got to station 3

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What percent of 50 is 15? 0.3% 3% 3.33% 30%

Answers

Answer:

30%

Step-by-step explanation:

15/50 × 100% = 30%

How can you determine if a point is a solution to a system of linear equations?
Please Help!

Answers

Answer:

You can substitute the x value of coordinate (x,y) in the equation. If the outcome = the y value in the coordinate (x,y), then you have determined it to be on the system of linear equations.

Step-by-step explanation:

Point P has a coordinates: ( Px , Py ).

You can choose which value is easy to substitute. Eighter start with the Py or you could start with the Px. It could save you time if you pick the right one for the job.

If you want to verify if any point is valid in any (linear) equation(s), you can:

a) substitute the x value of coordinate (x,y) in the equation, and if the outcome has the same value as y in the coordinate (x,y), then that point is a valid solution of the (linear) equation.

b) substitute the y value of coordinate (x,y) in the equation, and if the outcome has the same value as x in the coordinate (x,y), then that point is a valid solution of the (linear) equation.

Answer:

You can substitute the x value into the equation if the answer for y is the same for the y coordinate you will have your answer.

Step-by-step explanation:

Consider circle C with angle ACB measuring StartFraction 3 pi Over 4 EndFraction radians.

Circle C is shown. Line segments A C and B C are radii. Angle A C B is StartFraction 3 pi Over 4 EndFraction radians.

If minor arc AB measures 9 inches, what is the length of the radius of circle C? If necessary, round your answer to the nearest inch.

6 inches
12 inches
18 inches
24 inches

Answers

Answer:

12 inches

Step-by-step explanation:

I just took the unit test review on edge

Since the minor arc AB measures 9π inches, the length of the radius of circle C is equal to: B. 12 inches.

Given the following data:

Arc length = 9π inches.Central angle = 3π/4 radians.

How to calculate the length of the arc?

Mathematically, the length of an arc formed by a circle is calculated by using this formula:

Arc length = rθ

Where:

r is the radius of a circle.is the angle measured in radians.

Substituting the given parameters into the formula, we have:

9π = r × 3π/4

36π = 3πr

36 = 3r

r = 36/3

Radius, r = 12 inches.

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I NEED HELP WITH THIS

Answers

Answer:

(i think it is for q6 so) $6

Step-by-step explanation:

4.50÷3=1.50 (that's for 1 pound of fudge)

1.50×4=6

Jane purchased a prepaid phone card for $30. Long distance calls cost 16 cents a minute using this card. Jane used bet card only once to make a long distance call. If the remaining credit on her card is $28.24, how many minutes did her call last?

Answers

Answer:

she was talking for 11 minutes

Step-by-step explanation:

take 30$ and subtract the money she has left. take that total and divide by 0.16$

left with .11 which is 11 minutes

Write an equation for the line in slope-intercept form.

Answers

y = 1/2 x -3

Explanation: the y-intercept is where it crosses the y axis so the y-intercept is -3

kadeem and quinn both drive 25 miles. Kadeem drives at a constant speed of 50 miles an hour. Quinn drives at a constant speed of 75 miles an hour. Who takes longer to drive the 25 miles? How much loner?

Answers

Answer:

I believe it is Kadeem who takes longer by 10 minutes.

Step-by-step explanation:

A person whose speed is slow will take longer to reach so Kadeem takes longer by 0.5 hours.

Given that,
Kadeem and Quinn both drive 25 miles.
Kadeem drives at a constant speed of 50 miles an hour.
Quinn drives at a constant speed of 75 miles an hour.
To determine who takes longer to drive the 25 miles.

What is Distance?

Distance is defined as the object traveling at a particular speed in time from one point to another.

Here,
Time is taken by Kadeem to reach 25 miles with a speed of 25 miles per hour
= 25 / 50 = 0.5 hour

Time is taken by Quinn to reach 25 miles with a speed of 75 miles per hour,
= 25 / 75 = 0.34 hour

Thus, a person whose speed is slow will take longer to reach so Kadeem takes longer by 0.5 hours.

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The perimeter of a​ standard-sized rectangular rug is 36 ft. The length is 2 ft longer than the width. Find the dimensions.

Answers

The length is 10 and the width is 8

Answer and Step-by-step explanation:

The length is 10 and the width is 8

12-3 ( x-8 ) simplify

Answers

Answer:

-3x + 36

Step-by-step explanation:

The first step is to distribute the -3 to (x - 8), like so:

12 - 3(x - 8)

12 - 3x + 24

Add like terms (12 and 24):

12 + 24 = 36

-3x + 36

The area of a parallelogram is 12 ft^2 The height is 2 ft. Find the length of the corresponding base

Answers

Answer:

The length of the corresponding base is 6 ft.

Step-by-step explanation:

A = bh            Use this equation to find the length of the base

12 = 2b           Divide both sides by 2 to get b by itself

6 = b

If this answer is correct, please make me Brainliest!

Answer:

6

Step-by-step explanation:

did lesson

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