Convert these unlike fractions to equivalent like fractions and add them. You must use the LCD to get the answer correct. If possible, reduce the final sum.
1/5 =
2/3 =
1/5 + 2/3 =

Answer:

168

Step-by-step explanation:

12x14 is 168

Answer:

The age of the person who walked in the room is 44.

Step-by-step explanation:

The original mean age is 38 which means the total ages combined divided by the 5 people.

5 people x 38 (the mean age) = x

x = Total ages combined

x = 190 years old

Then another person came in, now totaling 6 people, and the mean age changed to 39 years old, an increase.

6 people x 39 (the new mean age) = y

y = Total ages combined

y = 234 years old

So, we are trying to figure out the age of the new person who came in. We have to subtract the new total age (y) by the original total age (x).

y - x = Age of new person in room

234 years old - 190 years old =

44 years old

Answer:

40% is correct

Step-by-step explanation: I took the test in k12 if you guys are wondering and yes it shows 40%.

Answer: Mary makes $374 for 17 hours of work.

Step-by-step explanation:

Begin by getting the hourly pay. Do this by dividing the amount they made by how many hours they worked:

$176 / 8 hours = $22 / hour

Now you know the hourly rate, multiply it by how many hours she would've worked:

$22 * 17 hours = $374 for 17 hours of work.

Answer:

I can't really give an answer but I can describe how to get the answer

Step-by-step explanation:

First, we need the corrdinates of Point P which should be an answer of (x,y). After we got the coordinates, move 10 lines towards the left and replace the x with the number you have gotten by doing that and then you should get your answer (hopefully)

Step-by-step explanation:

let the number be x

so,

25% of x = 16

→ 25/100 × x = 16

→ x = 16 × 100/25

→ x = 1600/25 → 64

therefore,

25% of 64 is 16.

Hope this answer helps you dear!

16 is 25% of 64.

Percentage is the fraction of an amount that is usually expressed as a number out of hundred. Percentages are a measure of frequency.

In order to determine the number, divide 16 by 25%

16 / 25%

16 / 0.25 = 64

To learn more about percentages, please check: https://brainly.com/question/25764815

Answer:

6

Step-by-step explanation:

first, we need to find the GCF (Greatest Common Factor) which is the highest number that can go into every number in the equation (In this case, those numbers are 24 and 30)

The GCF for this would be 6, meaning that there would be 6 bags with and equal amount of granola bars and protein bars.
To be more specific, every bag would have 4 granola bars and 5 protein bars.

Answer:

20y + 30

30y + (-30)

-30y + 9

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step by step solution :

STEP

1

:

           5

Simplify   —

           9

Equation at the end of step

1

:

                       5

 ((9 • (x2)) -  6x) +  —  = 0

                       9

STEP

2

:

Equation at the end of step

2

:

                 5

 (32x2 -  6x) +  —  = 0

                 9

STEP

3

:

Rewriting the whole as an Equivalent Fraction

3.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  9  as the denominator :

                9x2 - 6x     (9x2 - 6x) • 9

    9x2 - 6x =  ————————  =  ——————————————

                   1               9      

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

STEP

4

:

Pulling out like terms

4.1     Pull out like factors :

  9x2 - 6x  =   3x • (3x - 2)

Adding fractions that have a common denominator :

4.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

3x • (3x-2) • 9 + 5     81x2 - 54x + 5

———————————————————  =  ——————————————

         9                    9      

Trying to factor by splitting the middle term

4.3     Factoring  81x2 - 54x + 5

The first term is,  81x2  its coefficient is  81 .

The middle term is,  -54x  its coefficient is  -54 .

The last term, "the constant", is  +5

Step-1 : Multiply the coefficient of the first term by the constant   81 • 5 = 405

Step-2 : Find two factors of  405  whose sum equals the coefficient of the middle term, which is   -54 .

     -405    +    -1    =    -406

     -135    +    -3    =    -138

     -81    +    -5    =    -86

     -45    +    -9    =    -54    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -45  and  -9

                    81x2 - 45x - 9x - 5

Step-4 : Add up the first 2 terms, pulling out like factors :

                   9x • (9x-5)

             Add up the last 2 terms, pulling out common factors :

                    1 • (9x-5)

Step-5 : Add up the four terms of step 4 :

                   (9x-1)  •  (9x-5)

            Which is the desired factorization

Equation at the end of step

4

:

 (9x - 5) • (9x - 1)

 ———————————————————  = 0

          9        

STEP

5

:

When a fraction equals zero :

5.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 (9x-5)•(9x-1)

 ————————————— • 9 = 0 • 9

       9      

Now, on the left hand side, the  9  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  (9x-5)  •  (9x-1)  = 0

Theory - Roots of a product :

5.2    A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

5.3      Solve  :    9x-5 = 0

Add  5  to both sides of the equation :

                     9x = 5

Divide both sides of the equation by 9:

                    x = 5/9 = 0.556

Solving a Single Variable Equation:

5.4      Solve  :    9x-1 = 0

Add  1  to both sides of the equation :

                     9x = 1

Divide both sides of the equation by 9:

                    x = 1/9 = 0.111

Supplement : Solving Quadratic Equation Directly

Solving    81x2-54x+5  = 0   directly

Earlier we factored this polynomial by splitting the middle term. let us now solve the equation by Completing The Square and by using the Quadratic Formula

Answer:

  A) 12 cm

  B) 520 cm² (just sides); 720 cm² (sides and base)

Step-by-step explanation:

The volume of a triangular prism is given by the formula ...

  V = 1/2LWH . . . L = length, W = width, H = height

Filling in the given dimensions, we can find the height.

  1200 cm³ = 1/2(20 cm)(10 cm)H

  1200 cm³/(100 cm²) = H = 12 cm . . . . divide by the coefficient of H

The height of the box is 12 cm.

__

Only the two rectangular faces with dimensions 13 cm by 20 cm are described in this problem statement as "sides." The area of each of those two faces is ...

  A = LW

  A = (20 cm)(13 cm) = 260 cm²

So, the area of the two sides is ...

  2 × 260 cm² = 520 cm² . . . . area of sides

__

If we also describe the base as a side of the box, its area is ...

  A = LW = (20 cm)(10 cm) = 200 cm²

Added to the area of the other two sides, the total "side" area is 720 cm².

The relationship between the given data can be described in

terms of functions.

Correct response:

1. 60 °F

2. Day 2, Day 4, and Day 6

3. The high temperature is a function of the day

4. The day is not a function of the high temperature

The relationship between the Day and the high temperature

is given by the information in the table, and the definition from

the definition of functions.

The probable table in the question as obtained from a similar question posted online is presented as follows;

[tex]\begin{tabular}{|l|c|c|c|c|c|c|c|c|c|c|}Day&1&2&3&4&5&6&7&8&9&10\\Temperature (degrees F)&60&61&63&61&62&61&60&65&67&63\end{array}\right][/tex]

Please find attached the graph of the above table created with MS Excel

The probable questions are;

1. The high temperature on Day 7

Solution;

2. The days on which the high temperature was 61 °F

Solution;

From the table, the days on which the high temperature was 61 °F are;

3. A function is a relationship in which an input has exactly

one output, and a variable y is said to be a function of a

variable x if each value of x gives one value of y.

Where x = The day, and y = The high temperature, we have;

Each day has exactly one output of high temperature,

Each value of x, the day, gives one value of y, the high

temperature.

Therefore;

4. When the input variable x is the high temperature, and the

output variable, y is the day, we have;

At high temperatures, x, of 61° F, the days y are Day 2, Day 4,

and Day 6.

Therefore;

Some values of high temperature, x, have more than one value of the Days y.

Therefore;

Learn more about functions here:

https://brainly.com/question/4528336

Answer:

Step-by-step explanation:

According to the graph, the line has the following intercepts.

The line equation is:

The slope is:

The line is:

Answer:

4.372×10^13

Step-by-step explanation: The question is asking "How much more does this one thing weigh than this other thing?" Like how much more does my cat weigh than this bowling ball? Just that, the things are really, really, really BIG! But, we're just going to subtract the two numbers, that's all. So, unfortunately, they are asking you to "show work" bc literally, you could punch these two numbers into a calculator and hit enter. But, let's see how we can "show work"!

The iceberg is the bigger number because of the exponent 13.

4.55×10^13 is

45500000000000.

That's a mess to work with but thought you might want to know/see it.

The Rock is 1.78×10^12 which is

1780000000000.

Again, not easy to work with, but there it is.

(4.55×10^13) - (1.78×10^12)

Change both to 10^13.

(4.55×10^13)-(.178×10^13)

factor out the 10^13.

10^13(4.55 - 1.78)

subtract.

10^13(4.372)

write in scientific notation.

4.372 × 10^13

You could subtract those two crazy long numbers with all the zeros. And then convert to scientific notation. It will come out the same.

Answer:

r=6

Step-by-step explanation:

(r-(-3))/(2-(-1)) = (r+3)/3

r+3/3 = 3/1

cross-multiply:

r+3 = 9

r = 6

Check:

6-(-3)/2-(-1) should equal 3

9/3 = 3

checks out correctly

Answer:

r = 6

Step-by-step explanation:

Formula

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

Givens

x1 = - 1

x2 = 2

y1 = - 3

y2 = r

m = 3

Solution

3 = (r - -3) / (2 - - 1)         Combine

3 = (r + 3) / 3                 Multiply both sides by 3

9 = r + 3                       Subtract 3 from both sides

6 = r + 3 - 3

6 = r

The customer bought 0.25 pounds of Sri Lankan coffee and 3.75 pounds of Kona coffee

Data;

To solve this question, let us write a system of equations to show this problem.

[tex]x + y = 4 ... equation (i)\\4.20x + 6.20y = 24.30... equation (ii)[/tex]

From equation (i)

[tex]x + y = 4\\x = 4 - y...equation (iii)[/tex]

Put equation (iii) into equation (ii)

[tex]4.20x + 6.20y = 24.30\\x = 4 - y\\4.20(4 - y)+ 6.20y = 24.30\\16.8 - 4.20y + 6.20y = 24.30\\16.8 +2y = 24.30\\2y = 24.30 - 16.80\\2y = 7.5\\2y/2 = 7.5/2\\y = 3.75[/tex]

Using the value of y which is the Kona's coffee, let's substitute this into equation (i) to solve for x

[tex]x+y = 4\\x = 4 - 3.75\\x = 0.25[/tex]

From the calculations above,

Learn more on system of equations here;

https://brainly.com/question/14323743

Answer:

The amount of money that should be invested at the rate of 12% is $900 and the amount of money that should be invested at the rate of 10% is $2,100

Step-by-step explanation:

Let

x ------> the amount of money that should be invested at the rate of 12%

3,000-x -----> the amount money that should be invested at the rate of 10%

we know that

The sum of the interest on each of the accounts must be equal to the total interest.

Solve for x

therefore

The amount of money that should be invested at the rate of 12% is $900 and the amount of money that should be invested at the rate of 10% is $2,100

Hope this helps you!!!! :D

Answer:

Step-by-step explanation:

Step-1: Add the ratios.

Step-2: Divide it with the total number of students.

Step-3: Multiply.

        7 x 2 = total males

Hence, there were 10 females and 14 males on the team.

Answer: 41

Step-by-step explanation:

I’m rounding, the answer I got was 49, but I assume since it’s close that it would be the answer

Though I’ll go back and see if I missed a step real quick

Answer: A.   165

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

Explanation:

Step one is to convert the mixed number to an improper fraction

[tex]a \frac{b}{c} = \frac{a*b+c}{c}\\\\82 \frac{2}{3} = \frac{82*3+2}{3}\\\\82 \frac{2}{3} = \frac{248}{3}\\\\[/tex]

We'll divide that result by 1/2

[tex]\frac{248}{3} \div \frac{1}{2}\\\\\frac{248}{3} \times \frac{2}{1}\\\\\frac{248\times 2}{3\times 1}\\\\\frac{496}{3}\\\\[/tex]

Dividing by 1/2 is the same as multiplying by 2.

Then use your calculator to find that

[tex]\frac{496}{3} \approx 165.333\\\\[/tex]

Ignore the stuff after the decimal point.

They can make 165 full burgers, and they'll have a bit of leftover meat (which unfortunately isn't enough to make the 166th burger).

Answer:

1 = 21 m

2 = 120 cm

3 = 84 cm

4 = 3 km

5 = 10 m

6 = 55 mm

7 = 60 cm

8 = 500 mm

Step-by-step explanation: you see where it says "perimeter = 3s" right? for each question you have to replace "s" with the number given so for the first one it would be 3 x 7. You had to do the same thing with the others but sometimes we get confused in math :D

Answer:

1.6 minutes

Step-by-step explanation:

2 days = 48 hours

(48 hours)(2 sec/hr) = 96 sec

[tex](96 sec)(\frac{1 min}{60sec}) = 1.6 min[/tex]

Answer:

7x

Step-by-step explanation:

Hope this Helps

Answer:

60 cookies

Step-by-step explanation:

We can use ratios to solve

24          x

----- = -----------

40        100

Using cross products

24*100 = 40x

2400 = 40x

Divide each side by 40

2400/40 =x

60 = x

Answer:

[tex]x \4 = 5 \\ x = 5 \times 4 = 20 \\ x = 20.[/tex]

Answer:

Part A

Eagle = 6 lbs * 60%

           = 6 * 0.6

           = 3.6 pounds

Bear = 105 lbs * 25%

         = 105 * 0.25

         = 26.25 pounds

3.6 + 26.25 = 29.85 pounds

Part B

Percent Increase = Change/Original * 100

                             = 10/105 * 100

                             = 9.52%

The value of the expression for the given value of z is 16

From the question, we are to evaluate the given expression for the given value of unknown

The given expression is 6z - 2z

We are to evaluate this expression for z = 4. To do this, we will put in the value of 4 for z in the expression and simplify.

That is,

6z - 2z becomes

6(4) - 2(4)

Simplifying

24 - 8

= 16

Hence, the value of the expression for the given value of z is 16.

Learn more on Substitution and evaluation here: https://brainly.com/question/11388301

take the second equation and plug it into the first one after you set it equal to x.

so y+4=x then plug it into the first equation.

y=y+4-4

then 4-4=0

so your answer would be y=y which would make it be no solution

3x = x - 4

x = -2

Since y = 3x, then y = 3(-2) = -6. It also satisfies the second equation

how do you solve

y=3x

y=x-4

using substitution

----------

3x = x-4

2x = -4

x = -2

--------

y = -6

Answer:

0

Step-by-step explanation:

he got all of them wrong