PLEASE HELP ME ANSWER THESE QUESTIONS will give BRAINLIEST

1. The numerator of a certain fraction is 3 more than the denominator. If 3/2 is added to the fraction, the result is 4. Find the fraction.

2. If 3/8 is added to five times the reciprocal of a number, the result is 1. Find the number.

3. One car travels 390 miles in the same amount of time it takes a second car traveling 3 miles per hour slower than the first to go 372 miles. What are the speeds of the cars?

First simplify the rational expression by dividing. The degree in the numerator has to be at least 1 less than the degree in the denominator before you can decompose into partial fractions.

(3x³ - 5x² - 3x - 40) / ((x² + 4) (x - 3)) = 3 + (4x² - 15x - 4) / ((x² + 4) (x - 3))

Now decompose the remainder term into partial fractions:

(4x² - 15x - 4) / ((x² + 4) (x - 3)) = (ax + b) / (x² + 4) + c / (x - 3)

Multiply both sides by the denominator on the left:

4x² - 15x - 4 = (ax + b) (x - 3) + c (x² + 4)

Expand the right side:

4x² - 15x - 4 = ax² + (b - 3a) x - 3b + cx² + 4c

4x² - 15x - 4 = (a + c) x² + (b - 3a) x - 3b + 4c

Then

a + c = 4

b - 3a = -15

-3b + 4c = -4

Solve this system to get

a = 5, b = 0, c = -1

We end up with

(4x² - 15x - 4) / ((x² + 4) (x - 3)) = 5x / (x² + 4) - 1 / (x - 3)

and so

(3x³ - 5x² - 3x - 40) / ((x² + 4) (x - 3))

= 3 + 5x / (x² + 4) - 1 / (x - 3)

Answer: x=5.75

Step-by-step explanation:

4x+5=28

subtract 5 from both sides

4x=23

divide both sides by 4

x=5.75

In the given figure it looks like rhombus , so we know that all sides of rhombus are equal

Thus

FG=EG

28=4x+5

28-5=4x

23=4x

x=23/4

Answer:

-1/2 is the work

Step-by-step explanation:

hope this helped

Answer:

C.

Step-by-step explanation:

cytosine and guanine are 2 of the 4 main chemical bases in DNA

Can I have brainly?

Answer:

since it bisects angles 1 and 2 this makes them equivalent to each other

angle 1 = angle 2

and if angle 1 is equal to angle 3 than angle 2 must also be equal to angle 3

3.6

2.1(2.1) - 0.9(0.9)

4.41 - 0.81 = 3.6

Answer:

12b.) d ≈ 6 (d = 5.9895833) and d represents the number of days you're renting for.

Step-by-step explanation:

Set up an equation:

(c + h)(d) = 600

(c + h)(d) = 96d + 25

96d + 25 = 600

Subtract 25 on both sides to isolate the d term:

(96d + 25) - 25 = (600) - 25

96d = 575

Divide by 96 on each side to fully isolate d:

(96d) ÷ 96 = (575) ÷ 96

d ≈ 5.9895833

Approximate to: d = 5.9896 or 6 (depending on how exact your answer has to be)

The value of d in this situation represents the number of days you're renting for.

Hope this helps! I'd appreciate brainliest but if not that's fine!

50% or 1/6

Its because half the numbers would be even.

Answer:

1) Subtraction Property of Equality

2) Multiplication Property of Equality

3) Addition Property of Equality

4) Division Property of Equality

Step-by-step explanation:

We proceed to present the correct answer to this question and explain the reason behind the election of each option below:

1) [tex](6+3)-3 = 9 - 3[/tex] Subtraction Property of Equality

Reason - Subtraction is a particular form of addition based on the consideration of the existence of additive inverses. The subtraction property of equality is defined as:  [tex]a = b[/tex] if and only if  [tex]a+(-c) = b+(-c)[/tex].

2) [tex](6+3)\times 3 = 9 \times 3[/tex] Multiplication Property of Equality

Reason - The multiplication property of equality is defined as: [tex]a = b[/tex] if and only if [tex]a\cdot c = b\cdot c[/tex].

3) [tex](6+3)+3 = 9+3[/tex] Addition Property of Equality

Reason - The addition property of equality is defined as: [tex]a = b[/tex] if and only if [tex]a+c = b+c[/tex].

4) [tex](6+3)\div 3 = 9 \div 3[/tex] Division Property of Equality

Reason - The division is a particular form of multiplication based on the consideration of the existence of multiplicative inverses. The division property of equality is defined as: [tex]a = b[/tex] if and only if [tex]a\cdot c^{-1} = b\cdot c^{-1}[/tex].

Answer:

y = 40             x = 80

Step-by-step explanation:

520 = 3.25x + 6.5y     and   x+y=120

x+y=120

x = 120-y

520 = 3.25(120-y)+6.5y

520 = 390-3.25y+6.5y

520 = 390+3.25y

130=3.25y

40 = y

x = 120-y

x = 120-(40)

x = 80

here's a graph

Answer:

[tex]--------------------------------------------[/tex]

[tex]\frac{3}{4}\cdot\frac{-1}{8}[/tex] = [tex]-0.09375[/tex] [tex]or[/tex] [tex]-\frac{3}{32}[/tex]  

[tex]\frac{3}{4}\cdot-\frac{1}{6}[/tex] = [tex]-0.125[/tex] [tex]or[/tex] [tex]-\frac{1}{8}[/tex]

[tex]--------------------------------------------[/tex]

Step-by-step explanation:

[tex]--------------------------------------------[/tex]

[tex]\frac{3}{4}\cdot-\frac{1}{6}[/tex] = [tex]-0.125[/tex] [tex]or[/tex] [tex]-\frac{1}{8}[/tex]

[tex]or[/tex]

If you meant [tex]\frac{-1}{8}[/tex], [tex]then[/tex]

[tex]\frac{3}{4}\cdot\frac{-1}{8}[/tex] = [tex]-0.09375[/tex] [tex]or[/tex] [tex]-\frac{3}{32}[/tex]  

[tex]--------------------------------------------[/tex]

Hope this helps! <3

[tex]--------------------------------------------[/tex]

the simplified form of 3/4 x - 1/6 is (9x - 2) / 12.

To simplify the expression 3 / 4 x - 1 / 6, we can find a common denominator for the fractions and then combine the terms.

The common denominator for 4 and 6 is 12.

Multiplying the first term by 3 / 3 and the second term by 2 / 2 to get the same denominator:

(3 / 4) x (3 / 3) - (1 / 6) x (2 / 2)

This gives us:

9/12 x - 2/12

Now, we can combine the terms:

(9x - 2) / 12

Therefore, the simplified form of 3/4 x - 1/6 is (9x - 2) / 12.

Learn more about equation here

https://brainly.com/question/3796795

#SPJ6

Answer:

it A

Step-by-step explanation:

tan c=opp c/adj c

tan c=7/16

tan c=0.44

Answer:

D

Step-by-step explanation:

The tangent of C = opposite (7) over the adjacent (18)

Tan C = 7/18

Tan C = 0.388

The closest answer is D

Answer:

3 pizzas

Step-by-step explanation:

34-4=30

30/10=3

Answer:

3 pizzas

Step-by-step explanation:

34-4=30 since we already know the delivery fee

30/10=3 since we have 30 dollars left without the delivery fee we are just left to divide 30 by 10 to get the total number of pizzas

The mathematical statement as an expression is 3/w - v

The mathematical statement is given as

v fewer than the quotient of 3 and w

The quotient of numbers means division

So, we have

v fewer than the 3/w

V fewer than means - v

So, we have

3/w - v

Hence, the mathematical statement as an expression is 3/w - v

Read more about expressions at

https://brainly.com/question/723406

#SPJ1

Answer:

a=[tex]\frac{-1}{2}[/tex]b+[tex]\frac{2}{3}[/tex]+[tex]\frac{1}{6}[/tex]w

Step-by-step explanation:

Original equation: w=3(2a+b)-4

1. Distribute the 3 to the numbers inside parenthesis to get:

    w=6a+3b-4

2. Subtract 6a from both sides to get:

    -6a+w=3b-4

3. Subtract w from both sides to get:

    -6a=3b-4-w

4. Divide both sides by -6 and simplify to get:

    a=[tex]\frac{-1}{2}[/tex]b+[tex]\frac{2}{3}[/tex]+[tex]\frac{1}{6}[/tex]w

Answer:

5) x

6) -7

7) 3

Step-by-step explanation:

if you fill in those numbers and solve, x times x = [tex]x^{2}[/tex], x times -7 = -7x, 3 times x = 3x, and -7 times 3 = -21.

Answer:

you have to give me more information

Step-by-step explanation:

Answer:

ACB:64   ACD:116  GFH:64  EFG:26

Step-by-step explanation:You could see how the angles are located.

Answer:

A ) Adjacent  and supplementary  B) Adjacent n neither C) is the same as A D) Non adjacent n complementary

Step-by-step explanation:

The Small arrow is Non adjacent or adjacent and under the big one is complementary, supplementary or neither

For your question: Suppose cos(x) =1/(sqrt(5)) and sin(x) >0. What is the value of tan(2x)?

The value of tan(2x) is equal to -4/3

Please let me know if you have any other questions

The value of tan(2x) will be -1.333.

The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.

The trigonometric function is very good and useful in real-life problems related to the right-angle triangle.

Given that,

cosx = 1/√5

x = 63.435°

Now tan2x = tan2(63.435)

tan(126.87) =-1.333

Hence the correct answer to the given question will be -1.33.

For more information about the trigonometric function

brainly.com/question/1143565

#SPJ2

Answer:

f+1/4= -7/2

f= 15/4 or -3 3/4 as a mixed number

Hope this helps.... Stay safe and have a great week!! :D

The location of the x value of R' after using the translation rule is 28

The translation rule is given as:

(x + 4, y - 7)

The pre-image of R is located at (24, -13)

Rewrite as

R = (24, -13)

When the translation rule is applied, we have:

R' = (24 + 4, -13 - 7)

Evaluate

R' = (28, -20)

Remove the y coordinate

R'x = 28

Hence, the location of the x value of R' after using the translation rule is 28

Read more about translation at:

brainly.com/question/26238840

#SPJ1

Answer: The size and shape will only change when the transformation being made to the figure is a dilation. Since it is only being translated, its image and preimage are still congruent in size.

Step-by-step explanation:

For dilation, the size and shape of a figure only changes when transformed while if translated, the image and preimage  of the figure remains congruent in size.

Transformation is a way of changing the size and shape of an object in an xy-plane

Some of the transformation techniques used are translations and dilation

For dilation, the size and shape of a figure only changes when transformed while if translated, the image and preimage  of the figure remains congruent in size.

Learn more on translation and dilation here: https://brainly.com/question/1616371
#SPJ2

An equation of the parabola with focus (2, 2) and vertex (2, 6) is  mathematically given as

(x-2)^2=-16(y-6)

This is further explained below.

Generally, A planar curve that is mirror-symmetrical and has an approximation of the form of the letter U is called a parabola.

It agrees with a number of mathematical descriptions that, at first glance, seem to be very distinct from one another, but which can be shown to describe the same curves. A point and a line are two components that may be used to describe a parabola.

In conclusion, It can be shown theoretically that the equation of the parabola with focus (2, 2) and vertex (2, 6) is as follows:

(x-2)^2=-16(y-6)

Read more about parabola

https://brainly.com/question/21685473

#SPJ1

Answer:

-3x-11x²+7

Step-by-step explanation:

Answer:

The x coordinate of the vertex is 0.

Step-by-step explanation:

y=2x(x+4)

y = 2x^2 + 8

Vertex form is

y = 2(x - 0)^2 + 8.

So, the vertex is at (0, 8)

Answer:

m = -72

Step-by-step explanation:

m = 6

36 - 6m,

36 - 6(6)

using pemdas, you get 36 - 36,

-36, + -36

and you get -72,

so m = -72

hope this helps

Answer:

Yes

Step-by-step explanation:

This is rational because its in a pattern that is repeating

13. 5m-10

14. 8y+16

15. -3m-12

16. a^2+3a

17. h^2-2h

18. 2m^2+8m

19. -2z+16

20. -4x^2+40