Express the product of (1/2x + 1/5) and (5/3x+1/3) as a trinomial in simplest form.

Answers

Answer 1

Answer:

5/6x^2 + 1/2x + 1/15

Step-by-step explanation:

(1/2x + 1/5)(5/3x + 1/3)

5/6x^2 + 1/6x + 1/3x + 1/15

5/6x^2 + 1/6x + 2/6x + 1/15

5/6x^2 + 3/6x + 1/15

5/6x^2 + 1/2x + 1/15


Related Questions

HELP ASAP! (20 POINT CUZ I NEED DONE ASAP) In baseball, each time a player attempts to hit the ball, it is recorded. The ratio of hits compared to total attempts is their batting average. Each player on the team wants to have the highest batting average to help their team the most. For the season so far, Jana has hit the ball 7 times out of 10 attempts. Tasha has hit the ball 10 times out of 16 attempts. Which player has a ratio that means they have a better batting average?

Tasha, because she has the lowest ratio since 0.7 < 0.625
Tasha, because she has the highest ratio since 56 over 80 is greater than 50 over 80
Jana, because she has the highest ratio since 56 over 80 is greater than 50 over 80
Jana, because she has the lowest ratio since 0.7 < 0.625

Answers

Tasha, because she has the lowest ratio since 0.7 < 0.625

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

The ratio of hits compared to total attempts is their batting average

Each player on the team wants to have the highest batting average to help their team the most.

Jana has hit the ball 7 times out of 10 attempts.

Average is 7/10=0.7

Tasha has hit the ball 10 times out of 16 attempts.

Tasha Average is 10/16=0.625

We need to find the player who has better batting average

Tasha, because she has the lowest ratio since 0.7 < 0.625

Hence, Tasha, because she has the lowest ratio since 0.7 < 0.625

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What is the exact value of sin (7π/12)?​

Answers

Answer:

0.9659

Step-by-step explanation:

sin 7π/12 = sin 105° = 0.9659

Answer:

The correct answer is sqr root of 6 + sqr root of 2 over/ 4. =)

Step-by-step explanation:

Using the graph, predict how many people will be needed to eat 300 pounds of meal?​

Answers

Answer:

100 people

Step-by-step explanation:

if u notice the points are (2,6) and (6,18). 6÷2=3 and 18÷6=3, so if you catch this pattern than you can do 300÷3=100

Here are 10 numbers. 3 7 2 4 7 5 7 1 8 8 what is the median

Answers

Answer:    7

Step-by-step explanation:

234577788

        ^

the number in the middle is 7

Find the LCM X^2+X,X^2‐1,X^2‐X​

Answers

The LCM is

( x − 1 ) ( x + 2) ( x + 3)

Remember that you can find the LCM between two expressions by multiplying them, and then dividing it with their GCF.

Write the two equations for each problem and explain please, thank you

1. Victoria has a total of 65 dimes and quarters worth $10.70. How many of each type of coin does she have?
2. Max has two part-time jobs. He makes $12 per hour mowing lawns and $15 per hour tutoring students. Over the
weekend he worked for a total of 14 hours and made a total of $192. How many hours did he work for each job?

Answers

Answer:

1) Let D be the number of dimes and Q be the number of quarters. We can set up the following system of equations to represent the given information:

D + Q = 65

0.1D + 0.25Q = 10.70

The first equation represents the total number of coins Victoria has, and the second equation represents the total value of those coins in dollars. Solving this system of equations will give us the number of dimes and quarters Victoria has.


2) Let M be the number of hours Max spends mowing lawns and T be the number of hours he spends tutoring. We can set up the following system of equations to represent the given information:

M + T = 14

12M + 15T = 192

The first equation represents the total number of hours Max worked over the weekend, and the second equation represents the total amount of money he made during that time. Solving this system of equations will give us the number of hours Max spent on each job.

how to find key words in math

Answers

Answer:

Step-by-step explanation:

The key words that changes or shows the operation you are going to use in order to solve.

Answer:

Addition, Subtraction, Multiplication, Division and Equals

Please help me with this question

Answers

Therefore , the solution of the given problem of trigonometry comes out to be Cos 2x = -0.760355.

Trigonometry is what?

The study of relationships among triangle angles and angles is known as trigonometry. Mathematical modeling is a fundamental idea in all of geometry because it can be used to reduce any straight-sided form to a collection of triangles. Amazingly complex connections exist between trigonometry and other areas of mathematics, particularly mathematics, real or complicated, infinite series, logarithms, and infinite series.

Here,

Given : Cosx = 9/26 (First quadrant)

To find : Cos2x

We use the formula:

=>Cos2x = 2Cos²x -1

=> Cos2x  = 2(9/26)² - 1

=> Cos 2x = -0.760355

Therefore , the solution of the given problem of trigonometry comes out to be Cos 2x = -0.760355.

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(True or false)


Please help me

Answers

Answer:

False

Step-by-step explanation:

The slope in the graph is not negative.

The correct equation for the graph would be [tex]y = \frac{3}{2} x+3[/tex]

answer : false :))

bye

If AD = 18 units and AC = 30 units, what is the measure of CD?

Answers

Answer:

24.

Step-by-step explanation:

Because AD is equal to 18 that means that both parts together equal 18 divide 18 by 2, and you get 9. Same thing for AC and this time you get 15. Add them together and you get 24.

Rewrite the following phrase as a mathematical expression.

the sum of four times a number and five
4(5n)
4 + 5
4 + 5n
4n + 5

Answers

A number is n
4 times a number is 4n
And 5 means your adding 5
So it would be the last option:4n+5





Find each measurement indicated. Round your answers to the nearest tenth

Find BC
32
24
8
17

Answers

Answer:

17

Step-by-step explanation:

We will use angle A as theta in our trigonometric function equation.

We are dealing with hypotenuse and opposite, so the trig ratio is sine.

[tex]sin(39) = x/27[/tex]

[tex]27sin(39)=x[/tex]

[tex]27(0.6293) = x[/tex]

[tex]x=16.992[/tex]

When rounded to the nearest tenth, [tex]x=17[/tex]

Is 4,582 less than 4,862?

Answers

Yes it is less than 4,862

Answer:

yes it's smaller

Find the missing side lengths. Leave your answers as radicals in simplest form.
Please help!!!! Due today no one ever answers it

Answers

The correct answer choice is C

$1,800 principal earning 5%, compounded annually, after 9 years

Answers

Answer:

$2792.39

Step-by-step explanation:

→ Work out interest rate

( 100 + 5 ) ÷ 100 = 1.05

→ Multiply the amount by the interest rate to the power of 9

1800 × ( 1.05 )⁹ = 2792.39

The difference between the largest and smallest number in a given set of data
A) Mean
B) Median
C) Mode
D) Range

I'll give brainliestttt ​

Answers

The answer to the question is range
Range is when you take the max number and subtract it by the min number !

Which property is illustrated by the statement below? 4(3+2)=4(3)+4(2)

Answers

Distributive property is illustrated by the statement given as 4[3+2]=4[3]+4[2]

What is distributive property?

The distributive property is defined as an expression of the form A(B + C). This property is known by distributive law and applies to subtraction also. This can be solved by a multiplication over addition operation that is written as:

A(B + C) = AB + AC

Distributive property is the sum of two numbers times a third number is equal to the sum of each add end times the third number.

Since the general rule is that:

a(b + c) = ab + ac

Then, 4[3+2]=4[3]+4[2]

Therefore, the given statement elaborates the Distributive property.

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Suppose a researcher compiled a data set of the following variables fora sample of 100 retired men

Answers

Answer:

The researcher compiled a data set consisting of variables such as age, income, and marital status for a sample of 100 retired men

Step-by-step explanation:

A discrete variable is a type of variable that can only take on specific, distinct values that can be counted. Examples of discrete variables include the number of countries visited, shoe size, and number of pets living in a household.

On the other hand, a continuous variable is a type of variable that can take on any value within a certain range through measurement. Examples of continuous variables include pounds of chocolate consumed in the past and height in inches.

What’s does 1.56x-7.8 equal

Answers

Answer:-12.168

Step-by-step explanation: multiply it regularly, then count how many decimals are after the numbers, in this case, 3. cus it’s 2 after 1.56 and one after 7.8

Answer: x=5

Step-by-step explanation:

Solve the rational equation by combining expressions and isolating the variable (x)

Physical Fitness Dino works out regularly. When he first started exercising, he
could do 10 push-ups. After the first month he could do 14 push-ups. After the
second month he could do 19, and after the third month he could do 25. Predict
the number of push-ups Dino will be able to do after the fifth month of
working out. How confident are you of your prediction? Explain.

Answers

Answer:

he will do 34 the next month

The ratio of yellow houses to white houses on a street is 18 to 26.
Simplify the ratio.
Enter your answer by filling in the boxes.
to

Answers

Answer: The ratio 18:26 simplified is 9:13.

Step-by-step explanation:

To simplify the ratio 18:26, we find the greatest common divisor of 18 and 26, and then we divide 18 and 26 by the greatest common divisor.

The greatest common divisor that you can use to simplify 18:26 is 2. Which means the answer to ratio 18:26 simplified is: 9:13

Answer:9/13

explanation: k12

Find the zeros of the function.
Enter the solutions from least to greatest.
f(x) = (-x - 2) (-2x - 3)
lesser x =
greater x =
PLEASE I NEED HELPPPP

Answers

Answer:

lesser x= -2

greater x= -3/2 or -1.5

Step-by-step explanation:

f(x)=(-x-2)(-2x-3)

-x-2=0

+2 +2

-x=2

-1 -1

x=-2

-2x-3=0

+3 +3

-2x=3

-2 -2

x=-3/2

The zeros of the function are x = -2 and x = -1.5.

The lesser value of x is -2, and the greater value of x is -1.5.

What are the zeros of the function?

A function's zeros, also known as roots or solutions in mathematics, are the values of the independent variable (typically represented as x) for which the function evaluates to zero. In other terms, a function's zeros are the x-values that make the function equal to zero.

To find the zeros of the function f(x) = (-x - 2) (-2x - 3), we set the function equal to zero and solve for x:

(-x - 2) (-2x - 3) = 0

To find the zeros, we need to consider each factor separately and set them equal to zero:

First factor: -x - 2 = 0

Solving for x, we add 2 to both sides:

-x = 2

Multiplying both sides by -1 to isolate x:

x = -2

Second factor: -2x - 3 = 0

Solving for x, we add 3 to both sides:

-2x = 3

Dividing both sides by -2 to isolate x:

x = -3/2 or -1.5

So, the zeros of the function are x = -2 and x = -1.5.

Therefore, the lesser value of x is -2, and the greater value of x is -1.5.

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You and a friend went to Taco Bell for lunch.
You ordered 3 soft tacos and 3 burritos for
$11.25. Your friend ordered 4 soft tacos and
2 burritos for $10. How much do soft tacos cost?
How much do burritos cost

Answers

Let’s make a pair of equations, one for what you ordered, one for what your friend ordered. We’ll have x represent soft tacos and y represent burritos.

Your order: 3x + 3y = 11.25

Your friend’s order: 4x + 2y = 10

The first thing I gather using the information above is that burritos are more expensive then tacos, right? Your order is more expensive, with 1 less taco and 1 more burrito than your friend’s. But now we need to find out just how much more burritos cost.

To do that, pick an equation and simplify it for either x or y. I’ll choose the second equation, because it has a simpler answer. Let’s see what y equals for that one.
2y = 10 - 4x
y = 5 - 2x

Burritos cost 5 minus the cost of two tacos. Just replace y with this in our other equation.
3x + 3(5-2x) = 11.25
Use the distributive property.
3x + 15 - 6x = 11.25
15 - 3x = 11.25
-3x = -3.75
3x = 3.75
One taco costs $1.25
It’s easy to find out what the other variable equals once you have one already. Just pick either of the equations and know how much a taco costs. I’ll jump back to the second one.

4(1.25) + 2y = 10
5 + 2y = 10
2y = 5
y = 2.5

As predicted, burritos cost more. One taco costs $1.25. One burrito costs $2.50. With problems like these, you can always double-check the answers if you’d like. Just plug in the numbers.

My answer is correct, though :)

Five times the sum of a number and 27 is greater than or equal to six times the sum of that number
the solution set of this problem?
O (-00,-21)
O (-00,-21]
O [-21, +00)
O (21, +00)

Answers

Answer:

Answer: Choice B.

Step-by-step explanation:

5(x + 27) >= 6(x + 26)

5x + 135 >= 6x + 156

-x >= 21

x <= -21

James bought a new sweatshirt from Foot Locker for $39.98 with tax of 7% that was added at the register. James gave the cashier $45.00, how much change should he receive?

Answers

Answer: 2.2214

Step-by-step explanation:

0.07 x 39.98 = 2.7986 (is tax)

2.7986 + 39.98 = 42.7786

45.00 - 42.7786 = 2.2214

3/8 = 8/X still not able to solve. Can you me how to solve by breaking down?

Answers

Answer: 21.3

Step-by-step explanation:

1. Cross multiply

8(8) = 3(x)

2. Simplify

64 = 3x

3. Divide by 3 on both sides to get the variable by itself

64/3 = 3x/3

4. Simplify

21.3333333333 = x

you can round the answer to the nearest tenth, which would be 21.3

Abby is making tie dyed T-shirts for her class field trip each shirt costs 3.95. the dye costed 0.50 then she bought two boxes of salt to mix for 4.50 each. If she had 124.70 how many shirts can she make?

Answers

Answer:

3.95 + 0.50 + 4.50 × 2 = 13.45

13.45 × x = 124.70

x = 9

Therefore, she can make 9 shirts.

write a recursive rule for the sequence: 2, 8, 32, 128, 512,. . . (NO LINKS!!!)​

Answers

Answer:

a1 =2

an = an-1  * 4

Step-by-step explanation:

We can tell this is geometric by the way it increases

To find the common ratio, take the second term and divide by the first term

8/2 =4

Check to make sure

2*4=8

8*4 =32

32*4 =128

The recursive formula is

a1 = the first term

an = an-1 *r

a1 =2

an = an-1  * 4

a funeral
(since the element in the domain is repeated.
1) {(-1, 8), (0, 15), (1,-4), (2, 0)} 2) {(-5,2), (5,2), (0, -3), (3,-8)} 3) {(-2, 7), (6, 2), (-2,-3), (0, 9)}
it is a function
because there is not any
Points which have the
X-Coordinate and differen
y-Coordinates.
4) {(7,2), (4,-6), (2,-2), (4, -9)} 5) {(2, 3), (2, 4), (2, 5), (2,6)}
Practice: Determining if a Relation is a Function the Siven
6) {(1,-4), (2,-4), (3,-4), (4-4)}

Answers

2) {(-5,2), (5,2), (0, -3), (3,-8)} is a function.

3) {(-2, 7), (6, 2), (-2,-3), (0, 9)} is not a function.

4) {(7,2), (4,-6), (2,-2), (4, -9)} is not a function.

5) {(2, 3), (2, 4), (2, 5), (2,6)} is not a function.

6) {(1,-4), (2,-4), (3,-4), (4-4)} is a many to one function.

What is a function?

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

We know a relation is a function if it is one-to-one and many-to-one.

But a function can not be one to many means the same value of x can not lead to different values of y.

2) {(- 5, 2), (5, 2), (0, -3), (3,- 8)} is a fuction as different values of x leads to different values of y.

3) {(-2, 7), (6, 2), (-2,-3), (0, 9)} is not a function as the input - 2 leads to two different outputs 7 and - 3.

4) {(7, 2), (4, -6), (2, -2), (4, -9)} is also not a function as input 4 leads to two different outputs - 6 and - 9.

5) {(2, 3), (2, 4), (2, 5), (2,6)} is not a function as input 2 leads to different outputs.

6) {(1, - 4), (2, - 4), (3, - 4), (4, - 4)} is a function and it is a many-one function.

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GIVING BRAINLIEST PLEASE HELP


Laura gets a job at Costco to make extra money during the holidays and will get paid $15 an hour. She also gets a $100 bonus for agreeing to start right away! Create an equation, table, and graph to represent this situation. Define your variables!

Answers

The linear equation y = 15x +100. And the graph and table are given in the attached image.

What is linear equation?

Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.

Given:

Laura gets a job at Costco to make extra money during the holidays and will get paid $15 an hour.

She also gets a $100 bonus for agreeing to start right away.

Let x be an hour, she worked.

And y be the total earnings.

So, the equation,

y = 15x + 100

The table is given in the attached image.

And the graph is also given.

Therefore, the equation is y = 15x + 100

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