What must be done before adding or subtracting fractions

Answers

Answer 1

any type of symbol is what need to be answered first

Answer 2

Find a common denominator.

Example: ¹⁄₂ + ²⁄₃

¹⁄₂(³⁄₃) + ²⁄₃(²⁄₂) (Let’s make it six)

³⁄₆ + ⁴⁄₆ = ⁷⁄₆ (Add now)

Here is a geometrical explanation for it. Imagine you have two pizzas. One pizza is bigger than the other. Both pizzas are cut into 8 equal slices. Is one of slice from the big pizza the same as one slice from the little pizza? Nope. The slice from the little pizza is smaller than the one from the big pizza. This is why you need a common denominator. One slice of the bigger pizza is not equal to one slice of the smaller pizza.

I hope this helps! Don’t hesitate to message me if you have any questions!

Related Questions

Please show the work thank you

Answers

Divide by the coefficient of P₂ to get
.. P₂ = P₁V₁/V₂ . . . . . . . selection C

Use the parabola tool to graph the quadratic function f(x)=x2−12x+27.

Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.

Answers

Remember that for a quadratic function of the form [tex]a x^{2} +bx+c[/tex] we can find its vertex with formula: [tex]h= \frac{-b}{2a} [/tex] where [tex]h[/tex] is the x-coordinate of the vertex; then we will find the y-coordinate by replacing [tex]h[/tex] in our original function.

From the question know that [tex]a=1[/tex] and [tex]b=-12[/tex], so lets replace those values in our vertex formula to find the x-coordinate of our vertex:
[tex]h= \frac{-(-12)}{2(1)} [/tex]
[tex]h= \frac{12}{2} [/tex]
[tex]h=6[/tex]
Now lets replace that value into our original function to find the y-coordinate of our vertex:
[tex]f(6)=6^{2} -12(6)+27[/tex]
[tex]f(6)=36-72+27[/tex]
[tex]f(6)=-9[/tex]
Finally, we have our vertex (6,-9)

Now to graph our function we are going to take advantage of its line of symmetry; if the vertex is (6,-9) the line of symmetry of the parabola is x=6, so if we chose the point (6,0), our second point will have coordinates (3,0) as you can see in the picture.

The vertex of a parabola is the minimum or the maximum point of the parabola

The equation of the parabola is given as:

[tex]f(x) = x^2 + 12x + 27[/tex]

The x-coordinate of the vertex is calculated using:

[tex]x = -\frac{b}{2a}[/tex]

So, we have:

[tex]x = -\frac{12}{2 \times 1}[/tex]

[tex]x = -\frac{12}{2}[/tex]

[tex]x = -6[/tex]

Substitute -6 for x in f(x)

[tex]f(-6) = (-6)^2 + 12(-6) + 27[/tex]

[tex]f(-6) =-9[/tex]

So, the vertex of the parabola is (-6,-9)

Let x = 0.

So, we calculate f(0) as follows:

[tex]f(0) = (0)^2 + 12(0) + 27[/tex]

[tex]f(0) = 27[/tex]

This means that f(x) passes through (0,27)

See attachment of the parabola

Answers

Answer:

Step-by-step explanation:

your answer is x>37

Work the following pricing problems for services rendered. (For all calculations use hundredths.) Labor time = 6 1/2 hours Overhead rate = 55% Retail price of parts = $114.70 Total cost of job = $231.08 What is hourly rate for labor? 11.55 27.75 32.55 137.64

Answers

Total cost of job=$231.08
Labor time= 6 1/2 = 6.5 hours
Overhead=55%
Retail price of parts=$114.70
Find the total cost of labor.
Total cost of labor= 231.08 - 114.70=$116.38
Now labor rate per hour ( with overhead)= 116.38 /6.5 =$17.90 per hour.

Now labor rate (without overhead) = 17.90/(1+55%) = 17.90/1.55 =$11.55

Answer: $11.55

Answer:

11.55

Step-by-step explanation:

Work out the area of a triangle of base 7.5m and height 6cm

Answers

1/2 times 7.5 times 6 = 22.5. That is your area. Hope it helps! :)

Hello there!

To start, the formula to calculate the area of a triangle is:
A=[tex] \frac{B*H}{2} [/tex]

B is the value of the base and H is the value of the height.

Knowing this formula, you can solve for the values of the area of the triangle by plugging the value of your base and height into the formula and solve for A, the area.

A=[tex] \frac{7.5*6}{2} [/tex]

Now, simplify this equation:
A=[tex] \frac{7.5*6}{2} [/tex]
A=[tex] \frac{45}{2} [/tex]
A=45÷2
A=22.5

Therefore, the area of your triangle would be 22.5 meters squared.

Hope this helps and have a marvelous day! :)

If the multiplication expression below were written in exponential form, what would be the exponent be? 24*24*24*24*24

Answers

The answer would be 24^5

the answer to thye question is is i think 5

The bottom shape is a square prism with base edges of 3 cm and a height of 10 cm. What is the volume of the composite figure if the top shape is a right pyramid with a height of 2 cm?
90 cm3
60 cm3
6 cm3
96 cm3

please i really need help on this

Answers

Answer: 96 cm^3

To answer this, start by finding the volume of the square prism. The formula is L x W x H, therefore the volume is 3 x 3 x 10 = 90.

Then, find the volume of the pyramid on the top. Use the same formula but divide it by 3 because it is a pyramid. 3 x 3 x 2 / 3 = 6

Add 90 and 6 to get 96.

In a study, researchers found that for every 3 people who preferred brand A toothpaste 1 person preferred brand B toothpaste. Which ratio describes the results of the study?

A. 1:3

B. 1:4

C. 3:1

D. 4:1

Answers

It would be
C. 3:1
Because it’s three to one

The perimeter of a rectangular banner is 72 inches. The width of the banner is 1/3 its length. What is the area of the banner? The first one with a good answer will be count as the brainlist. Please help

Answers

To find the area you will need to begin with the information about the perimeter. You will use the formula P = 2l + 2w. You will replace what we know in this formula making it 72 = 2l + 2 (1/3l). You will replace the width with the information we know about the width. Simplify the expression on the right to make a new equation 72 = 2 2/3 l. Solve for the length by dividing both sides by 2 2/3. When you divide 72 by 2 2/3 you get 27 inches as your answer. This is the length. Once you know the length, you can take 1/3 of it (1/3 x 27) to get the width of 9 in. Now that you know the length and the width, you will multiply these together (27 in. x 9 in) to get an area of 243 square inches!

Final answer:

To find the area of the banner with a given perimeter of 72 inches and a width that is 1/3 its length, we first determine the length to be 27 inches and the width to be 9 inches, leading to an area of 243 square inches.

Explanation:

To solve the problem, let's denote the length of the rectangular banner as L inches and the width as W inches. We're given that the perimeter is 72 inches and that the width is 1/3 its length, hence W = 1/3 * L. The formula for the perimeter of a rectangle is 2L + 2W = 72.

Substituting the value of W in terms of L into the perimeter equation gives 2L + 2(1/3 * L) = 72. Simplifying this equation: 2L + 2/3L = 72, or (6/3)L + (2/3)L = 72, which simplifies to (8/3)L = 72. By solving this equation, we find that L = 27 inches. Therefore, W = 1/3 * 27 = 9 inches.

Finally, the area of the rectangle, which is Length × Width, can now be calculated as 27 inches × 9 inches = 243 square inches.

Visiting team: 20% of supporting visiting team

Home team: 80% of supporting home team

If the total number of people attending the game was 64,000, how many people were supporters of the home team?

A.)12,800

B.)38,400

C.)48,000

D.)51,200

Answers

64000× 0.80 =51,200

Answer: D.)51,200

Step-by-step explanation:

Hi, to answer this question we have to multiply the number of attendants (64,000) by the percentage amount of supporting home team (80/100)

64,000 x (80/100) = 51,200

51,200 people were supporters of the home team.

The correct option is D).

Feel free to ask for more if needed or if you did not understand something.

This semicircle has a diameter of 5 meters.

What is the area of this figure?

Use 3.14 to for pi.

Enter your answer as a decimal in the box. Round your answer to the nearest hundredth.

Answers

Area of semicircle is given by:
[tex]A_sc = \frac{1}{2} \pi r^2 [/tex]

r is the radius, and we are given the diameter. Radius is half the diameter, so it's 2.5m. Let's plug that into the formula (using 3.14 as an estimation for pi):
[tex]A_t = \frac{1}{2}(3.14)(2.5)^2 = 9.81m^2 [/tex]

So, the area of this semicircle is 9.81m².

a baseball coach uses a pitching machine to simulate pop flies during practice. the quadratic function f(x)=-16x^2+70x+10 models the height in feet of a baseball after x seconds. how long is the baseball in the air if the ball is not caught?

Answers

Final answer:

Using the quadratic equation f(x) = -16[tex]x^2[/tex] + 70x + 10, which models the height of the baseball, we apply the quadratic formula to find that the ball is in the air for approximately 4.438 seconds before it lands back on the ground if not caught.

Explanation:

The student asks how long a baseball remains in the air during practice using a quadratic equation that models the height of the baseball after a certain number of seconds. The equation provided is f(x) = -16[tex]x^2[/tex] + 70x + 10, which models the height in feet of the baseball after x seconds. To determine the time the baseball is in the air, we need to find when the ball returns to the ground level (when f(x) = 0).

We can solve this quadratic equation using the quadratic formula: x = (-b ± [tex]\sqrt{(b^2 - 4ac)) / (2a)}[/tex], where a is -16, b is 70, and c is 10. Plugging in these values, we get two solutions for t (time), and we choose the positive time value at which the height becomes zero again, indicating that the ball has landed back on the ground.

The use of the quadratic formula yields t = 4.438 seconds and t = -0.138 seconds. We discard the negative time value as it is not physically relevant to the problem, and thus the baseball is in the air for approximately 4.438 seconds before it lands back on the ground if it's not caught.

The state capitol building in Baton Rouge, Louisiana, is 450 feet tall. Ella’s scale model of the building uses the scale 25 feet = 10 inches. How tall is Ella’s model? 18 inches 180 inches 1,125 inches 425 inches

Answers

We can use a proportion to solve problems that involve scale factors. Every 25 feet equals 10 inches, according to Ella's scale model. The building is actually 450 feet tall, so feet and inches are our units for the proportion. The first step is to set up the proportion:

[tex] \frac{450}{x} [/tex] = [tex] \frac{25}{10} [/tex]

Notice the feet (450 and 25) are lined up next to each other, and the inches (x and 10) are lined up as well. Next, we solve by cross multiplying and dividing. 450 times 10 gives us 4500. Then, we divide by the remaining number,25. 4500/25 equals 180. So, Ella's model is 180 inches tall.

Volume of Composite Shapes, i need help again

Answers

V=πr²h
V=(3)(2²)(8)
V=96

V=(πr²h)/3
V=(3)(2²)(3)/3
V=12

V=96+12
V=108

Steve needs to take at least 24 milligrams of calcium, 15 milligrams of iron, and 16 milligrams of vitamins. Which ordered pairs of values are solutions for the given system inequalities, where x represents the number of spoonfuls of brand A that Steve takes and y represents the number of spoonfuls of brand B that Steve takes? Select all the correct answers.

Answers

the complete question in the attached figure

we have that
x----------------> represents the number of spoonfuls of brand A
y----------------> represents the number of spoonfuls of brand B
Brand A---------------- > Calcium. Iron Vitamins ------ > 5 4 7 milligrams
Brand B---------------- > Calcium. Iron Vitamins ------ > 4 6 4 milligrams

Steve needs to take at least
Calcium milligrams >=24
Iron milligrams >=15
Vitamins milligrams >=16

I proceed to calculate the system inequalities

for Calcium
5x+4y>=24

for iron
4x+6y>=15

for Vitamins
7x+4y>=16

using a graph tool to solve the system of inequalities
see the attached figure

the answer is the point (1,5) and the point (4,1) are solution

pls help show steps pls

Answers

1st equation: 5x + 60y =35

2nd equation: x + y = 1.5 r
3rd equation: rewrite 2nd equation as : x =1.5-y)

replace x in first equation with 3rd equation:

5(1.5-y) + 60y = 35

now solve for y:
7.5 - 5y + 60y = 35
7.5 + 55y = 35
55y = 27.5
y = 27.5 / 55 = 0.5

now replace Y with 0.5 in the 2nd equation and solve for x

x +0.5 = 1.5

x = 1.5-0.5
x = 1

5x = 5(1) = 5 miles walked

5X + 60Y = 35
X + Y = 1.5
Ok so this is known as a system of equations. The x variable in the first equation is the same as the x in the second equation, as is the y.
So in order to solve this, let's solve for one of the variables in the second equation. It doesn't matter which so lets just pick the variable y.
So
X + Y = 1.5
Subtract X from both sides
Y = -X + 1.5
Voila! You have a variable for y. Now you can substitute you value of y into the other equation.
5X + 60(-X + 1.5) = 35
Now do you see how we only have one variable to solve for in the equation? Solve this equation and you have the value of x.
5X - 60X + 90 = 35
-55X = -55
X = 1
Hah! We have a value for X! But what is the value of y? In ordering to find the value of y you need to take a previous equation and substitute the value that we found for x into the equation. Let's take the easiest equation shall we?
X + Y = 1.5
X = 1
1 + Y = 1.5
Y = 0.5
And there we are! The values we were in search of across the dry deserts and cold, salty waters. Eww salty water. What was I talking about? Sorry I'm ADHD.
X = 1
Y = 0.5

5g of margarine contains 3.6g of fat.

How many grams of fat are there in 92g of Margarine?

Answers

Hey there! :D

Find the unit rate.

3.6/5= 0.72

Multiply that by 92.

0.72*92= 66.24

There are 66.24 grams of fat in 92g of Margarine.

I hope this helps!
~kaikers

Lets get started :)

We can use the concept of ratios

5g of margarine : 3.6g fats
92g of margarine : ?

We can cross multiply, which is an easier solution

Let us use the variable p to represent the grams of fats to be found

5 x p = 3.6 x 92
5p = 331.2

We, now, can divide by 5 on either sides so we can isolate and find the value of p

[tex] \frac{5p}{5} = \frac{331.2}{5} [/tex]
5 and 5 cancels out

p = 66.24

So, 92g of margarine will contain 66.24g of fats

What is 136 sq km divided by 8 km?

Answers

Answer:

[tex]136 \: {km}^{2} \div 8 \: km = 17 \: km[/tex]

If you know it please tell me it would help a lot

Answers

[tex] 7n \le 21 [/tex]

Divide both sides by 7.

[tex] n \le 3 [/tex]

n must be less than or equal to 3. n can be 3 or any number under 3.

For example, n can be 1, 2, 3.

A rectangular prism has a length of 3 1/2 inches, a width of 3 1/2 inches, and a height of 7 inches. Danny has a storage container for the prism that has a volume of 90 cubic inches.

What is the difference in volume between the prism and the storage container?

PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!

Answers

To find the volume of the prism you multiply
length x width x height. So for the prism you multiply 3 1/2 x 3 1/2 x 7. Which gives you the answer of 85.75, or rounded it’ll give you 86.
Now to find the difference you subtract the volume of the prism from the container which will give you your final answer

4.25
From your Brainly Friend Below :D

A 50-foot ladder leans against a wall, as shown in the figure below. If the base of the ladder is 30 feet away from the wall, how tall is the wall?

Select one:
A. 3
B. 4
C. 5
D. 40

Answers

Pythagorean theorem gives u answer d. Ill include work for you in chat

if an office is 120 sq ft what is the measurement in square meters

Answers

Answer:

We have to convert the measurement in square meters. Therefore 120 sq. feet = 120×0.093 = 11.148 sq. meters.

Need help with number 11 please, thanks.

Answers

The answer is H(3.5)

To find how many miles Dante runs each day, you need to find out how much he runs in one day.

35/10 = x/1 Divide 10 on both sides.
3.5/1

So, Dante runs 3.5 miles each day.

Addison brought 5 pounds of oranges and 7 pounds of cherries to make a fruit salad for a fund raiser. She wants to package an equal amount of fruit salad into each of 10 containers.

How much fruit salad should Addison put in each counter?

Addison should put
(________)
pounds of fruit salad into each container.

Answers

Addison should put 1.2 pounds of fruit salad into each of the 10 containers for the fundraiser.

To find out how much fruit salad Addison should put in each container, we need to first calculate the total weight of the fruit she brought, which is 5 pounds of oranges plus 7 pounds of cherries, equaling 12 pounds of fruit in total.

Then, to distribute this equally among 10 containers, we divide the total weight of the fruit by the number of containers:

[tex]\[ \frac{12 \text{ pounds}}{10 \text{ containers}} \]\[ = 1.2 \text{ pounds per container} \][/tex]

So, Addison should put 1.2 pounds of fruit salad into each container.

What’s the surface area of this tent? Show all work and write your answer below.

Answers

The up and down rectangles have an area of 6 * 4 = 24 ft^2
There are 2 of them so area = 2*24 = 48.square feet.

There is 1 floor which has an area of 4*6 = 24 square feet

The area of one of hte triangles is 1/2 4 *3.46 = 6.92
Again, there are 2 of them so the total area for the triangles is 13.84

The total area is 48 + 24 + 13.84 = 85.84 square feet.

This figure consists of a rectangle and a quarter circle.

What is the perimeter of this figure?

Use 3.14 for π .

Enter your answer as a decimal in the box.
__ cm

Answers

the perimeter of this figure is:

2+20+2+(20-11)+[(11*2*3,14)/4]+11= 61,27

if This figure consists of a rectangle and a quarter circle, we have to consider the amount of :
the perimeter of rectangle - the dashed part, in which the quarter circle is inserted (2+20+2+20-11)
+ the quarter circle = perimeter of circle / 4 = 2r π/4 (2*11*3,14)/4
+ the circles radius = 11

Answer:

61.27

Step-by-step explanation:

Use the parabola tool to graph the quadratic function f(x)=−12x2+7. Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.

Answers

First we find the vertex of parabola [tex]f(x)=-12 x^{2} +7[/tex]

The vertex of parabola is [tex]( \frac{-b}{2a},f( \frac{-b}{2a})) [/tex]
Here,
b = coefficient of x term
a = coefficient of x² term

For given parabola, b = 0 , a = -12

So,
[tex] \frac{-b}{2a}= \frac{0}{-24} =0 [/tex]

And,

[tex]f( \frac{-b}{2a} )=f(0) = -12(0)+7=7[/tex]

Thus the vertex of parabola is (0, 7)

To find another point on parabola, substitute x by 1.

[tex]f(1)=-12( 1^{2}) +7=-12+7=-5[/tex]

So the second point on parabola is (1,-5)

The plot of parabola is shown in image below:

Here are a bunch of CORRECT answers, your answer is somewhere in there. For the first CORRECT answer the second point is -5,-9. Don't make the same mistake I did on question 3, but it still shows the correct answer. I love to help.

followed your directions @ninc and I got this, but I don't think it's right

Answers

volume of the cylinder = PI x r^2 x h
3.14 x 1.5^2 x 10 = 70.64

volume of the triangle base:
1/2 x l x h x w

1/2 x 11.2 x 12.5 x 2 = 140

total volume = 140 + 70.64 = 210.64 cubic inches

In a bag of marbles, 12% were red, 14% were blue, and the rest were white. If the bag has 250 marbles, how many were red or blue

Answers

30 red, 35 blue, and 185 white. your welcome. please mark me as brainliest

Hello!

We've been given enough information to solve this question! We know that there are a total of 250 marbles in the bag, and that 12% are blue and 14% are red, and the rest are white.

To calculate how many marbles are red and blue, we must first convert the percentages to decimals by dividing them by 100, and then we'll multiply the decimals by 250 marbles.

I know, that's probably a lot to take in! :D

12% ÷ 100 = 0.12

0.12 × 250 = 30

This means that 30 marbles were red.

14% ÷ 100 = 0.14

0.14 × 250 = 35

This means that 35 marbles were blue.

Final Answer:

30 marbles were red, 35 marbles were blue, and the rest were white.

Good Day!

What is probability of rolling a prime number cube with sides labeled 1-6

Answers

The answer is most likely 3/6 or 1/2 because 2,3,5 are the only prime numbers on a dice or cube and that’s 3 our of the total 6 .

Final answer:

The probability of rolling a prime number on a six-sided die is 1/2 or 50%, since there are three prime numbers (2, 3, 5) out of six possible outcomes.

Explanation:

The probability of rolling a prime number on a six-sided cube labeled with the numbers 1 through 6 can be determined by identifying which numbers on the cube are prime. Prime numbers are numbers that are only divisible by 1 and themselves. On a six-sided die, the prime numbers are 2, 3, and 5.

Since there are 6 faces on the die, the total number of possible outcomes when you roll it once is 6. The event of rolling a prime number includes three outcomes: rolling a 2, rolling a 3, or rolling a 5. So, the probability, P, of rolling a prime number is determined by dividing the number of favorable outcomes (rolling a 2, 3, or 5) by the total number of possible outcomes.

The calculation for the probability is therefore P(Prime) = Number of prime faces / Total number of faces = 3/6. This simplifies to 1/2, which means that the probability of rolling a prime number is 1/2, or 50%.

We can conclude that if you roll the die only a few times, the law of large numbers may not hold, and the experimental probability may not closely align with the theoretical probability of 1/2, but over many rolls, it would generally converge to this value.

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