1. Simplify the rational expression (5 3/2)(5 1/2)

Answers

Answer 1

[tex]\huge\text{Hey there!}[/tex]


[tex]\mathsf{5 \dfrac{3}{2} \times 5\dfrac{1}{2}}[/tex]

[tex]\mathsf{= \dfrac{5\times2+3}{2}\times\dfrac{5\times2+1}{2}}[/tex]

[tex]\mathsf{= \dfrac{10 + 3}{2}\times\dfrac{10 + 1}{2}}[/tex]

[tex]\mathsf{= \dfrac{13}{2}\times\dfrac{11}{2}}[/tex]

[tex]\mathsf{= \dfrac{13\times11}{2\times2}}[/tex]

[tex]\mathsf{= \dfrac{143}{4}}[/tex]

[tex]\mathsf{= 35 \dfrac{3}{4}}[/tex]



[tex]\huge\textsf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\frak{= 35 \dfrac{3}{4}}}\huge\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]


Related Questions

please help i’ll mark brainliest!!! it’s timed please hurry

Answers

Answer:

It's B

Step-by-step explanation:

When you graph B, that's what you get

Work out the area of a rectangle with base,
b
= 6.6mm and height,
h
= 5mm.

Answers

The area of the rectangular is 6mm x 5mm = 30 mm^2

The first basketball player scored six points in eight minutes the second basketball player scores 10 points in 12 minutes which basketball player scores more points per minute

Answers

The second basketball player scores more because 10/12 is more than 6/8

The difference between the length and the width of a rectangle is 5 centimeters. What id the length (the longer side) of the rectangle, if its perimeter is equal to 106 centimeters

Answers

Answer:

29

Step-by-step explanation:

106=2(x+x+5)

53=2x+5

48=2x

24=x

24+5=29

20 points


Determine whether the statement is true or false. If the statement is​ false, make the necessary​ change(s) to produce a true statement.


To solve the system below by substitution, replace y in the second equation with 7−6x.


6x−y=7


2x+y=5


This statement is true.


This statement is false. To solve the system by​ substitution, replace x in the second equation with 7−6x.


This statement is false. To solve the system by​ substitution, replace y in the first equation with 7−6x.


This statement is false. To solve the system by​ substitution, replace y in the second equation with 6x−7.

Answers

Answer:

To solve the system below by substitution, replace y in the second equation with 7−6x.

==> False

This statement is false. To solve the system by substitution, replace x in the second equation with 7−6x.

==> False.

This statement is false. To solve the system by substitution, replace y in the first equation with 7−6x.

==> False

This statement is false. To solve the system by substitution, replace y in the second equation with 6x−7.

==> True.

From the first equation, 6x-y=7

y= 6x-7

Answer: This statement is false. To solve the system by​ substitution, replace y in the second equation with 6x−7.

If y = x + 5 and x = 3, then y = what?

Answers

y=8

Step-by-step explanation:

y=x+5 x=3

y=3+5

therefore

y=8

10 Sami asked 60 people which sports they liked from rugby, football and cricket. 8 people like all three sports. 17 people like rugby and football. 13 people like football and cricket. 19 people like rugby and cricket. 35 people like football. 27 people like cricket 30 people like rugby. a) How many people liked neither rugby or football or cricket?

Answers

Answer:

9 people liked neither rugby or football or cricket.

19.796 to 1 significant figure

Answers

Answer:

The answer is 20

I hope this helps

Ms. Reynold's sprinkler system has 5 stations that water all parts of her front and back lawn. Each station runs for an equal amount of time. If it takes 16 minutes for the first 2 stations to water, how long does it take to water all parts of her lawn?

Answers

Answer: 40 minutes

Step-by-step explanation:

It takes 16 minutes for the first 2 stations to water their sections which means that the time taken per station is:

= 16/2

= 8 minutes per station

Ms. Reynolds has 5 stations.

Total time taken will therefore be:

= 8 * 5

= 40 minutes

Write the point-slope equation of (1,6) (3,-6)

Answers

Answer:

0 (I think)

Step-by-step explanation:

(1,6) (3,-6)

X1 Y1. X2 Y2

-6-6= 0

3-1=2

0/2= 0

Answer:

y=-12/2x + -6

Step-by-step explanation:

m= rise/run = y2-y1/x2-x1

m=  -6 - 6 / 3 - 1    

m= rise/run  -12/2

HELP PLEASE! I need helpppp!! :(

Answers

The equation has the greatest slope!

Hopeful it’s correct! sorry i’m not a genius:)
A I think is correct but double check that I’m not sure

The quotient of a number and 6 minus -1/3 is equal to the quotient of the number and 8. What is the number?

Answers

Answer:

x = 8

Step-by-step explanation:

Let the number = x

x/6 - 1/3 = x/8

-1/3 = x/8 - x/6

-1/3 = (6x-8x)/48

-1/3 = -2/48x

Divide both sides by -2/48

x = -1/3 ÷ -2/48

= -1/3 × -48/2

= 48/6

= 8

x = 8

The number = 8

SOMEONE PLEASEEE HELP (ILL GIVE BRAINLIST)

Answers

Answer:

the second one or B

$0.15+$40.00=$58.00

it is this because the number of mins is .15 cent each min

152=8(3a-2) justify each step

Answers

Step-by-step explanation:

152 = 8(3a - 2)

152 = 8 × 3a - 8 × 2

152 = 24a - 16

152 + 16 = 24a

168 = 24a

a = 168/24

a = 7

Answer:

-7

Step-by-step explanation:

152=8(3a-2)

8(3a-2)=152

8(3a-2)/8=(152){8)

3a-2=19

3a-2+2=19+2

3a=21

3a/3=21/3

a=-7

Can someone help me please

Answers

Answer:

7,-7 or -7,-7

Step-by-step explanation:

7,-7 or -7,-7

Answer:

It is either (7,-7) or (-7,7)

Step-by-step explanation:

Hope this helps!

Find the circumcenter of the triangle.
(-1, 1)
(4,-2)
(-1, -2)

Answers

I believe 4,-2. The circumcenter of a right triangle is right at the mid point aka where 4-2 is

A table of values for the exponential function f (x) is shown what is the exponential function that it represents​

Answers

Answer: f (x) = 9(2) ^2

Step-by-step explanation:

this is the correct answer :)

A mouse ran a 360 centimeters course in 9 seconds , how fast did it run ?

Answers

Answer:

r=d/t

r=360 cm / 9 sec= 40 cm per second

Hope that helps :)

Answer:

40 centimeters per second.

Step-by-step explanation:

360 divided by 9= 40

ChIcKeN nUgGeTs :>

whats 65 times 9 divided by 5

Answers

It’s 117, I used a calculator
65•9/5
If I solve according to pemdas this equation equals 117

For the following expressions, match them up with their correct factored form​

Answers

- No. 3 on the left matches to no.1 on the right
- No.1 on the left matches to no.2 on the right
- no. 4 on the left matches to no. 3 on the right
- no. 5 on the left matches to no. 4 on the right
- no. 2 on the left matches to no.5 on the right

The expression (x+6)² is simplified as x²+12x+36.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

A) (3x-2)(x+5)

= 3x²-2x+15x-10

= 3x²+13x-10

B) (3x-8)(3x+8)

= (3x)²-8²

= 9x²-64

C) 5x(x-1)(x+7)

= (5x²-5x)(x+7)

= 5x²(x+7)-5x(x+7)

= 5x³+35x²-5x²-35x

= 5x³+30x²-35x

D) (x+6)²

= x²+12x+36

E) (x-2)(x-8)

= x(x-8)-2(x-8)

= x²-8x-2x+16

= x²-10x+16

So, A→2, B→5, C→1, D→3, E→4

Therefore, the expression (x+6)² is simplified as x²+12x+36.

To learn more about an expression visit;

https://brainly.com/question/28170201.

#SPJ5

plzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

2x power of 2 +7x+3

Step-by-step explanation:

Multiply the parenthesis together.

2x squared +6x +x +3

2x squared +7x+3

Answer:

2x^2 + 2x + 3

Step-by-step explanation:

y = 6x + 8, find y when x = -3. *

Answers

Answer:

-10

Step-by-step explanation:

Ayliah is 7 years more than 1/2 of Deb's age
use x for the variable

Answers

Answer:

The expression [tex]\frac{1}{2}x+7[/tex] can be used to find Ayliah's age.

Step-by-step explanation:

Given statement is:

Ayliah is 7 years more than 1/2 of Deb's age.

Let,

x represent Deb's age.

The expression for Ayliah's age would be;

7 more means addition.

Ayliah's age = [tex]\frac{1}{2}x+7[/tex]

Hence,

The expression [tex]\frac{1}{2}x+7[/tex] can be used to find Ayliah's age.

Brisbane is 10 hours ahead of London and New York is 5 hours behind London. Arsh lives in Brisbane. At 12 noon on 5 November, Arsh calls Lily who lives in New York, what time and date is it in New York?

Answers

Answer:

9:00 pm, 4th November

Step-by-step explanation:

Since ;

Brisbane is 10 hours ahead of London

New York is 5 hours behind London

Then, Brisbane is (10 + 5)hours ahead of New York.

Then Brisbane is 15 hours ahead of New York

Time and Date Brisbane resident called New York = 12 Noon, 5th November

Time and Date in New York will be :

(12 Noon - 15 hours) = 9:00 pm, 4th November

The sum of the digits of a positive 2-digit number is 12. The units digit is 3 times the tens digit. Find the number

Answers

Answer:

44

Step-by-step explanation:

Answer:

93

Step-by-step explanation:

Let’s call the tens digit x and the unit digit y. From the question we know that x + y = 12 and that x = y^2, giving us the following system of equations:

x + y = 12

x - y^2 = 0

Let’s multiply the second one by -1, to get rid of one of the unknowns in the system.

x + y = 12

-x + y^2 = 0

By adding together the two, we get y^2 + y = 12. As that is a quadratic equation, let’s make it of the form Ay^2 + By + C = 0, so subtracting 12 from each side gives as y^2 + y - 12 = 0. Then let’s solve the quadratic equation to find out the two values of y we get out of it, one of which is legal in the above system of equations.

y = (-B +/- sqrt(B^2–4AC))/2A

This time, both A and B are 1, while C is -12. By entering them in the above formula, we get the inner part of the square root to be 49, and thus the square root to give 7. So solving y = (-1 +/- 7)/2 gives two alternatives, either y = -4 (impossible, as it has to be a digit, ie has to be between 0 and 9 inclusive) or y = 3.

Then let’s return to the system of equations, and as both digits appear without any modifiers in the first one, let’s use it to find x with. So x + 3 = 12, x = 12 - 3, x = 9.

As x is the tens digit and y the unit digit per how the variables were chosen, we can with confidence say that the number is 93.

Which graph represents the function y = 2x - 2?
4TY
1y
1y
2
2
2
-2
- 2
-2
-2
-2
o
o

Answers

Answer:

The third graph

Step-by-step explanation:

The third graph is the only graph that could represent the equation because it is the only graph where the line goes through the y-intercept, -2. It is also positive, like the equation says the slope should be.

HELP ASAP!!!!
GIVING BRAINLIEST!

Find the value of x and y with the steps PLEASE.

Answers

Answer:

x=70

y= 40

Step-by-step explanation:

the triangle containing x is an isosceles triangle so two of the sides are 55.

55+55+x=180.

110+x=180

110-110+x=180-110

x=70

Triangle BAC is equilateral so 180/3=60. Now

x+60+c=180

70+60+c=180

130+c=180

130-130+c=180-130

c=50

That gives us one corner of triangle CBD. We know a second angle is 90 so

50+90+y=180

140+y=180

140-140+y=180-140

y=40

I think that is correct but you are free to check it yourself

What is the equation of the line that passes through the point (6, -6) and has a slope of -5/3 ​

Answers

Answer:

y= -5/3x + 4

Step-by-step explanation:

hope this helps :)

Un carro utiliza 8 litros de gasolina para recorrer 96 kilómetros.Cuantos kilómetros recorre con 35 litros?​

Answers

Answer:

415.625

Step-by-step explanation:

1. Yo dividida 35 por 8. La respuesta de eso es 4.375.

2. Yo multiplica 4.375 por 95. La respuesta es 415.625 km.

D. the area of the interior square in step 2 is equal to c² + ab.

I'll give u brainly if u right​

Answers

Answer:

I think it is C

Step-by-step explanation:

The first two options are correct. The third one is false.

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