PLEASE HELP!!
Wesley initially filled a measuring cup with 5/6 of a cup of syrup from a large jug. Then he poured 1/2 of a cup back into the jug. How much syrup remains in the measuring cup?

Answers

Answer 1

Answer:

2/6 or 1/3

Step-by-step explanation:

We start off with 5/6 of a cup of syrup in a measuring cup.

Then Wesley pours out 1/2 of the syrup in the measuring cup.

Our equation looks like this:

5/6 - 1/2 = ?

However, we can't use this equation because the denominators (6 & 2) aren't the same. So we will find the LCD (least common denominator).

Mulitiples of 6: 6, 12, 18, 24

Multiples of 2: 2, 4, 6, 8

6 is the LCD for the both of them.

Multiply 3 to the numerator and denominator of 1/2 (because to get from 2 to 6 using multiplication, you mulitiply 3)

1/2 x 3/3 = 3/6

Now we can substitue 3/6 into our original equation and solve it:

5/6 - 3/6 = 2/6

It's better to use the simplified answer, 1/3.

Hope it helps and good luck (●'◡'●)


Related Questions

given the circle, find the arc measure​

Answers

Answer is 180-122=58

\He wants to buy at least 5 goats. Write down an inequality in x to represent this

Answers

Answer:

x≥5

Step-by-step explanation:

If x is the quantity of goats he wants x≥5

What is the volume of a cylinder, in cubic centimeters, with a height of 8 centimeters
and a base diameter of 16 centimeters? Round to the nearest tenths place

Answers

Answer:

1608.5 cm³

Step-by-step explanation:

Use the cylinder volume formula, V = [tex]\pi[/tex]r²h

If the diameter is 16 cm, then the radius is 8 cm.

Plug in the radius and height into the formula, and solve:

V = [tex]\pi[/tex]r²h

V = [tex]\pi[/tex](8)²(8)

V = [tex]\pi[/tex](64)(8)

V = 1608.5

So, to the nearest tenth, the volume of the cylinder is 1608.5 cm³

From a group of three boys and six girls a boy and a girl will be selected to attend a conference and how many ways can the selection you made

Answers

Answer:

18

Girl  = g

Boy = b

1g 1b  1g 2b  1g 3b

2g 1b  2g 2b  2g 3b

3g 1b  3g 2b  3g 3b

4g 1b   4g 2b  4g 3b

5g 1b   5g 2b  5g 3b

6g 1b   6g 2b  6g 3b

---------------------------------------

Another way you can do this,

6 × 3 = 18

In the end there will be 18 selections.

the correct answer is 18. hope this helps :)

What is the answer ? Help pls

Answers

Answer:

B. 4

Step-by-step explanation:

Given,

[tex] {x}^{8} = {( {2}^{2} )}^{4} [/tex]

Since,

[tex] { ({a}^{x} )}^{y} = {a}^{xy} [/tex]

Then,

[tex] = > {x}^{8} = {2}^{2 \times 4} [/tex]

[tex] = > {x}^{8} = {2}^{8} [/tex]

(Since the exponents are same so the bases will be also same)

Therefore,

=> x = 2

As per condition,

[tex] {x}^{2} [/tex]

(Putting value of x = 2)

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

= 4 (Ans)

The rational number -13/-5 lies to the right of zero on the number true or false​.

Answers

Answer:

true

hope it helps

PLEASE MARK BRAINLIEST

False like my lashes

please do this ASAP!
No links !

Answers

Answer:

2100

Step-by-step explanation:

28.34 rounds to 30

We look at the 8 which is greater than 5 and rounds the 2 to 3

69.72 rounds to 70

We look at the 9 which is greater than 5 and rounds the 6 to 7

30*70

2100

I NEEDDDDD HELPPPP ITS URGENTTTT!!!!!!!

Answers

Answer:

r=7, Center:(4,8)

Step-by-step explanation:

( x - h )^2 + ( y - k )^2 = r^2 is the general formula for circle where radius is square root of r^2 and the center is (h,k).

_(9)=(2(1-2(2)^(9)))/(1-2(2))


PLEASE HELP ME OUT.

Answers

Answer:

the answer = um ok

Step-by-step explanation:

order the following radicals from the least to greatest without using a calculator. show your reasoning

[tex]2 \sqrt{6} [/tex]
[tex]5 \sqrt{10} [/tex]
[tex]4 \sqrt{2} [/tex]
[tex]3 \sqrt{3} [/tex]

Answers

Answer:

2*sqrt6 = 2*apprx2 = 4

5*sqrt10 = 5*3.1 = 15.5

4*sqrt2 = 4*1.4 = 6.4

3*sqrt3  = 3*1.7 = 5.1

4, 5.1, 6.4, 15.5 or... 2sqrt6, 3sqrt3, 4sqrt2, 5sqrt10

 

7) The sum of the page numbers of two facing pages of a book is 85. What are the page numbers of two facing pages of the book. If the sum is not given, but the product is given to be 1806, how will you find the page numbers?​

Answers

Answer:

42 and 43.

Step-by-step explanation:

This problem can be solved just by knowing the sum of the page numbers, as page numbers on the same face are always one digit apart. Thus we can take 85, subtract 1, divide by 2, and then get 42,42, and add 1 back to the second-page number.

To check our work we can multiply 42*43 to get 1806.

please help! i can’t write the equation on here so look at the picture.

Answers

Answer:

So if x= 1 , y= -20 , z = -5 , we just have to replace those values on the equation

[tex]\frac{\sqrt{yz}}{(z-x)^{2} + y } =[/tex]  [tex]\frac{\sqrt{(-20) * (-5)}}{(-5-1)^{2} + (-20) } =[/tex]  [tex]\frac{\sqrt{100}}{(-6)^{2} -20 }[/tex]  [tex]= \frac{10}{16} =\frac{5}{8}[/tex]

Answer:

√100 / {-5-1}^² +(-20)10/(-6)^² -2010/36-2010/165/8

write the point-slope form of the equation of the line through the given points (0,4) and (-5,-4)

Answers

Answer:

y - 4 = 8/5 (x - 0)

Step-by-step explanation:

first, find the slope using the points given ((0,4) and (-5,-4))

use the following formula to find the slope:

m= y2 - y1/x2 - x1

using this formula you should get the following:

m= -4-4/-5-0 = -8/-5 = 8/5

using the point (0,4) and the slope, it into the slope-point form (y-y1=m(x-x1)

the answer should be: y - 4 = 8/5(x - 0)

Ashley sells 18.6 kg bags of mixed nuts that contain 60% peanuts. To make her product she adds peanuts to Brand A's mixed nuts which contain 20% peanuts. How much of each does she combine?

Answers

Answer:

She combines 9.3 kg of each.

Step-by-step explanation:

Let x = amount of brand A in kg

Let y = amount of peanuts in kg

First we deal with the amount of each product she uses.

"Ashley sells 18.6 kg bags of mixed nuts that contain 60% peanuts."

x + y = 18.6

Now we deal with just the amount of peanuts.

"To make her product she adds peanuts to Brand A's mixed nuts which contain 20% peanuts."

Brand A contains 20% peanuts, so x kg of brand A contains 0.2x kg of peanuts.

The peanuts she adds are pure peanuts, so all of y is peanuts.

The result is 18.6 kg of a mixture that is 60% peanuts, so the amount of peanuts in the bags she sells is 0.6 * 18.6 kg.

0.2x + y = 0.6 * 18.6

0.2x + y = 11.16

We have a system of equations:

x + y = 18.6

0.2x + y = 11.16

We have y in both equations, so let's subtract the second equation from the first equation to eliminate y.

0.8x = 7.44

Divide both sides by 0.8

x = 9.3

Plug in 9.3 for x in the first equation of the system and solve for y.

x + y = 18.6

9.3 + y = 18.6

y = 9.3

Answer: She combines 9.3 kg of each.

What is the function rule that represents the sentence y is 7 less than the product of 6 and x?

Answers

Answer:

y = 6x-7

Step-by-step explanation:

product of 6 and x

6x

7 less than the product of 6 and x

6x-7

y = 6x-7

The distance from Clinton to Greenville is 124 miles. To find the speed of a car, use the expression d divided t, where d represents the distance and t represents time. Find the speed of a car that travels from Clinton to Greenville in 2 hours

Answers

Step-by-step explanation:

time = 2 hours

distance travelled(d) = 124 miles

so

speed = d/t

=  124/2

= 62 miles per hour

Therefore, the speed of car is 62 miles per hour.

+
50°
50°
PLEAE help

Answers

The answer will be 80 degrees

Step-by-step explanation:

50 +50 + x = 180 (Angle sum property of a triangle)

The angle sum property of a triangle:

The total measure of the three angles of a triangle is 180°

[tex] \rm \large \rightarrow \: \: x \: + \: 50 \degree \: + \:50 \degree \: = \: 180 \degree[/tex]

[tex] \rm \large \rightarrow \: \: x \: + \: 100 \degree \: = \: 180 \degree[/tex]

[tex]\rm \large \rightarrow \: \: x \: = \: 180 \degree \: - \: 100 \degree[/tex]

[tex]\rm \large \rightarrow \: \: x \: = \: 80 \degree[/tex]


Which statement is true regarding the functions on the
graph?
O f(-3) = g(4)
Of(-4) = g(-3)
Of(-3) = g(-3)
Of(-4) = g(-4)

Answers

Answer: C

Step-by-step explanation:

intersection of f(x) and g(x) is x=-3

f(-3)=g(-3)

Answer C

Answer:

The answer is f(-3)=g(-3)

Step-by-step explanation: just took the test hope it helps❤️

find the length of BC

Answers

Answer:

13.3650978628

Step-by-step explanation:

Angle A=180-(Angle B+C)=180-117=63

Here,

b=BC, p=AC & AB=12

Using the relation of cos,

cosx=b/h

cos27=BC/15

15cos27=BC

Using a calculator,

BC=13.3650978628

7/3 = 7 ÷
7 divided by blank equals 7/3
please help ?

Answers

Answer:

7/3 = 7 ÷  7 ÷ 3/7 (i think)

Step-by-step explanation:

check mathpapa.com

https://www.mathpapa.com/algebra-calculator.html

trigonometric identities

Answers

Answer:

answer B:

[tex]x= \dfrac{\pi}{2}\ or\ \dfrac{\pi}{6}\ or\ x=\dfrac{5\pi}{6}[/tex]

Step-by-step explanation:

[tex]2cos^2 x + 3sin x=3\\\\\Longrightarrow\ 2*(1-sin^2 x)+3sin x -3=0\\\\\Longrightarrow\ 2-2sin^2 x+3 sin x -3=0\\\\\Longrightarrow\ -2sin^2 x+3 sin x -1=0\\\\\Longrightarrow\ 2sin^2 x-3 sin x +1=0\\\\\Delta=3^2-4*2*1=1\\\\sin\ x=\dfrac{3-1}{4} \ or\ sin\ x=\dfrac{3+1}{4}\\\\sin\ x=\dfrac{1}{2} \ or\ sin\ x=1\\\\\Longrightarrow\ x= \dfrac{\pi}{6}\ or\ x= \dfrac{5\pi}{6}\ or\ x=\dfrac{\pi}{2} \\[/tex]

What is the height of an iscocles trapizoid, if the lengths of its bases are 5m and 11m and the length of a leg is 4m?

Answers

Answer:

x=√5

Step-by-step explanation:

Use the pythagorean theorem

if line 4x+ky=11 and line y=8x-3 are parallel find the value of k
pls help me asap thank you step by step please!!​

Answers

Answer:

k=-1/2

Step-by-step explanation:

u have to change line 4x + ky=11 to this form:

y=11/k-4x/k

then, if 2 lines are parallel, their slopes have to equal

so: 8=-4/k -> k=-1/2

Rewrite the following fractions with a denominator of 24.
1/3

2/8

1/2

5/12

5/6

5/1

3/4

7/8

Answers

Answer:

or,

3/4×2/3=6/8

or, 3/4×3/3=9/12

Answer:

1/3, 2/81/2,5/125/6,3/4

Step-by-step explanation:

1/3×2/8=2/24

1/2×5/12=5/42

5/6×3/4=15/24

Hope it is helpful to you

Given m \| nm∥n, find the value of x.

Answers

Answer:

53

Step-by-step explanation:

The value of x in the given figure is 127 degrees.

Given that;

The lines m and n are parallel lines.

Now by definition of vertically opposite angle,

Vertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines. Vertically opposite angles are equal to each other.

Hence from the figure we get;

Angle x and 127 degrees are vertically opposite angles.

Hence we get;

x = 127°

To learn more about the angle visit:;

https://brainly.com/question/25716982

#SPJ3

a man's income is rupees 12000 per month if the.If the rate of income tax ia rs2.50 per rs100,how much tax should he pay?​

Answers

Answer:

don't know

Step-by-step explanation:

find the cost of the painting of a rectangular box of length 6m breadth 4m and height 3m at the rate of rs.25 per meter square
I really need this ​

Answers

G I V E N :

find the cost of the painting of a rectangular box of length 6m breadth 4m and height 3m at the rate of rs.25 per meter square

S O L U T I O N :

According to the question, first we need to get the T.S.A. or Total Surface Area of the cuboid then dividing it by ₹ 0.25 we can get the cost. After solving the concept will be more clear.

Let's start :

T.S.A = 2(lb + bh + hl)

Here,

l represents length

b represents breadth

h represents height

Now, putting the values of all these we get

T.S.A. = 2(6 × 4 + 4 × 3 + 3 × 6)

T.S.A. = 2(24 + 12 + 18) m²

T.S.A. = 2(54) m²

T.S.A. = 108 m²

Now, we are given that cost of every square metre costs ₹ 0.25

So, for 108 m² it will cost = ₹ 108 × 0.25 = ₹ 27

Hence, cost of painting the rectangular box is ₹ 27

Answer:Rs.2700

Step-by-step explanation:step1is 2[6*3]+2[6*4]=84

step2is 2[3*4]=24

24+84=108*25=2700

please help!!!! i need it in this instant!!!

Answers

Answer: 14

Step-by-step explanation:

If they hit the ball 4/8 times, that equals 1/2, so we just multiply 1/2 (or 0.5) by 28 and you get 14 :)

14 is your answer!
Hope this helps!!!!!

Can u help solve this

Answers

Answer:

 - 5/3

Step-by-step explanation:

We can use the slope formula

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

    = ( -1 -9)/(4 - -2)

   = (-1-9)/(4+2)

  = -10/6

  - 5/3

Answer:

[tex]slope = \frac{y2 - y1}{x2 - x1} \\ = \frac{ - 1 - 9}{4 - - 2} \\ \frac{ - 10}{6} \\ = - \frac{5}{3} \\ thank \: you[/tex]

Find the Perimeter of the figure below, composed of a rectangle and a semicircle. Round to the nearest tenths place.

Answers

Answer:

50.6

Step-by-step explanation:

The perimeter of the circle is 12.56 because we take 1/2 of 8 (the length of the short side of the rectangle) and multiply that by pie (or 3.14). Now that we know that the perimeter of the circle is 12.56 we add that to 8 (short side of the rectangle) and we add that to 15 twice (which is 30)

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