Solve the equation. \dfrac32 + b = \dfrac74 2 3 ​ +b= 4 7 ​ start fraction, 3, divided by, 2, end fraction, plus, b, equals, start fraction, 7, divided by, 4, end fraction b=b=b, equals

Answers

Answer 1

Given:

The equation is

[tex]\dfrac{3}{2}+b=\dfrac{7}{4}[/tex]

To find:

The value of b.

Solution:

We have,

[tex]\dfrac{3}{2}+b=\dfrac{7}{4}[/tex]

Subtracting both sides by [tex]\dfrac{3}{2}[/tex], we get

[tex]b=\dfrac{7}{4}-\dfrac{3}{2}[/tex]

[tex]b=\dfrac{7-2(3)}{4}[/tex]

[tex]b=\dfrac{7-6}{4}[/tex]

[tex]b=\dfrac{1}{4}[/tex]

Therefore, the value of b is [tex]\dfrac{1}{4}[/tex].

Answer 2

Answer:

1/4

Step-by-step explanation:


Related Questions

I am so lonelyyyy and singllleee lol

Answers

Answer:

same :(

Step-by-step explanation:

anyone know the answer to number 11? there’s only 2 options and you can see them in the picture.

Answers

Answer:

a)

Step-by-step explanation:

I am 100% sure it's the answer

Answer:

Step-by-step explanation:

using S[tex]\frac{o}{h}[/tex] C[tex]\frac{a}{h}[/tex] T[tex]\frac{o}{a}[/tex] (sin opposite/hypotenuse, cos adjacent/hypotenuse, tan opposite/adjacent)

Tan Y = 3/8

Tan Z = 8/3

hope this helps <3

Which function is not linear? A. f(x)=x/4 B. f(x)=2x+1 C. f(x)=-3 D. f(x)=-1/x

Answers

Answer:

f(x) = -1/x

Step-by-step explanation:

Here, we want to find the function that is not linear

A linear function is of the form;

y = mx + b

where m can be zero, or b can be zero

The only option that does not follow this description is

f(x) = -1/x

This is the equation I need help wiht

Answers

Answer:

y=-5x+5

Step-by-step explanation:

y=mx+b

m = slope which is 5 going down, so -5

b = y intercept which is 5

Find the number that makes the ratio equivalent to 6:7
60:

Answers

Answer:

60:70

Step-by-step explanation:

[tex] \frac{60}{x} = \frac{6}{7} \\ \\ 60 \times \frac{7}{6} = x \\ \\ 70 = x[/tex]

I AM GIVING TEN POINTS I BEG YOU NOT TO SCAM PLEASE I NEED HELP JHERKWJFIOHWHOFEWHRHEFWH
Solve the system of equations using the substitution method. Make sure to check your solution.

y = 3x + 2

-4x + 4y = 16

In the blanks below, type just the number for the x-coordinate in blank 1 and just the number for the y-coordinate in blank 2.

x-coordinate:
y-coordinate:

Answers

Answer:

y = 5

x = 1

Step-by-step explanation:

y = 3x + 2

-4x + 4(3x+2)=16

y=3x+2

-4x+(4*3x+4*2)=16

x = 1

y = 5

Answer:

x-coordinate = 1

y-coordinate = 5

Step-by-step explanation:

By using the substitution method, we substitute either x-term or y-term in any equation.

the term must be only the subject in order to substitute in.

Our equation that has only the subject is the first equation.

Substitute y = 3x+2 in the second equation.

[tex] - 4x + 4(3x + 2) = 16[/tex]

Distribute 4 in 3x+2

[tex] - 4x + 12x + 8 = 16[/tex]

The constant cannot add up or subtract with the variable. Therefore, move 8 to subtract 16 on another side.

[tex]12x - 4x = 16 - 8 \\ 8x = 8[/tex]

Move 8 to divide 8 on the another side.

[tex]x = \frac{8}{8} \\ x = 1[/tex]

Our next goal is to find the y-value by substituting x = 1 in any given equation.

I will substitute x = 1 in the first equation. (You can substitute in the second equation if you want.)

[tex]y = 3(1) + 2 \\ y = 3 + 2 \\ y = 5[/tex]

Answer Check

Checking is to make sure that we have got the right answer. We can check the answer by substituting y-value and x-value in both equations.

[tex]x = 1 \\ y = 5[/tex]

First Equation Check

[tex]5 = 3(1) + 2 \\ 5 = 3 + 2 \\ 5 = 5[/tex]

The equation is true. Therefore, the answer is correct for first equation.

Second Equation Check

[tex] - 4(1) + 4(5) = 16 \\ - 4 + 20 = 16 \\ 16 = 16[/tex]

The equation is true. Both equations are true for x = 1 and y = 5.

Therefore, the answer is (1,5)

Hi everyone, so I was doing some math homework and I got stuck. Please help me with these two questions (numbers 7 and 8). Thank you!

I'll also try my hardest to help you in return!

Answers

Answer:

7). x = 6, [tex]\frac{14}{3}[/tex]

8). x = 2

Step-by-step explanation:

7). Area of a circle = πr²

   Here 'r' = radius of the circle

Area of the shaded region of the circle = Area of the large circle - Area of the small circle

                                                                 = π(x)² - [tex]\pi (\frac{x}{2})^2[/tex]

                                                                 = [tex]\pi x^{2} -\pi (\frac{x^2}{4})[/tex]

                                                                 = [tex]\pi x^{2}(1-\frac{1}{4})[/tex]

                                                                 = [tex]\frac{3\pi x^{2} }{4}[/tex] in²

If area of the shaded region is (8πx - 21π) in²

[tex]\frac{3\pi x^{2} }{4}=8\pi x - 21\pi[/tex]

[tex]\frac{3x^2}{4}=8x-21[/tex]

3x² = 32x - 84

3x²- 32x + 84 = 0

3x² - 14x - 18x + 84 = 0

x(3x - 14) - 6(3x - 14) = 0

(x - 6)(3x - 14) = 0

x = 6, [tex]\frac{14}{3}[/tex]

8). Area of the shaded region = Area of the largest circle - Area of the smaller semicircle - Area of the smallest semicircle

Area of the largest circle = π(2x + 2x)²

                                         = 16πx²

Area of the smaller semicircle = [tex]\frac{1}{2}\pi (3x)^{2}[/tex]

                                                  = 4.5(πx²)

Area of the smallest semicircle = [tex]\frac{1}{2}\pi (2x)^{2}[/tex]

                                                    = 2πx²

Now area of he shaded region = 16πx² - [4.5(πx²) + 2πx²]

                                                    = 16πx² - 6.5πx²

                                                    = 9.5πx² mm²

If the area of the shaded region = 12πx + 14π

12πx + 14π = 9.5πx²

12x + 14 = 9.5x²

9.5x² - 12x - 14 = 0

19x² - 24x - 28 = 0

19x² - 38x + 14x - 28 = 0

19x(x - 2) + 14(x - 2) = 0

(19x + 14)(x - 2) = 0

x = [tex]-\frac{14}{19},2[/tex]

But the radius o a circle can't be negative.

Therefore, x = 2 will be the answer.

If 5 is added to twice a number, the result is 29. Find the number.​

Answers

Answer:

12

Step-by-step explanation:

12 times 2 = 24 + 5= 29

Answer:

19

Step-by-step explanation:

29 minus five minus five

consider the equation _. determine the steepness in the line between x=1 and x=2.

Answers

Answer:

2/3

Step-by-step explanation:

Firstly we get the y value at both x points

At x = 1

y = 2/3 + 1/2 = (4 + 3)/6 = 7/6

At x = 2

y = 4/3 + 1/2 = (8 + 3)/6 = 11/6

The slope formula is

m = (change in y)/change in x

The slope is thus;

(11/6-7/6)/(2-1) = 4/6 = 2/3

Please help, Look at the picture

Answers

Answer:

the first one?

Step-by-step explanation:

I am like 67% sure.

Arlene has raised $56 for her class field trip. This is $14
more than three times the amount Adam has raised.
Which equation could you use to find how much money
Adam has raised?

Answers

Assuming Adams amount is x, three times his amount will be 3x. $14 more than the times Adam's amount will be 14 +3x.

Therefore if Arlene's money is $56 which is $14 more than three times Adam's amount, then the equation will be ;

14+3x=56

Plz help due tomorrow

Answers

Answer:

you combine like term

-8.5+7.9

Step-by-step explanation:

Hope this helps! -8.5+7.9

Hello please help I really don't understand this

Answers

Is x and y proportional, it’s telling you that does it makes sense, is the rate of change correct.

Yes x and y is proportional because as it states, everytime y increases by 2, x increases by 1

A circular park is 1/3 mile long. Mr. M walks on this track, completing each lap in
1/12 of an hour. What is Mr. M's walking speed? Include the unit of measure.

Answers

Answer:

1.7 m/s

Step-by-step explanation:

1/3 mile = 536 m

1/12 hour = 5 minutes = 300 second

volecity = s/t = 536 / 300 = 1.7 m/s

9514 1404 393

Answer:

  4 miles per hour

Step-by-step explanation:

Speed is the ratio of distance to time:

  speed = miles/hours = (1/3)/(1/12) = (4/12)/(1/12) = 4/1 = 4

Mr. M's walking speed is 4 miles per hour.

How many feet are in 47 yards?

Answers

141 feet sorry if I’m wrong


A company produces boxes of DVD's at a rate of 52 boxes per hour. They begin to produce boxes when they first open for the day and after three hours have 404 boxes in stock. How many boxes were in stock when they opened?

Answers

Answer: 248 boxes

Step-by-step explanation:

They produce boxes at a rate of 52 boxes an hour yet after only 3 hours they had 404 boxes.

The number they were supposed to have in 3 hours is:

= 52 * 3

= 156 boxes

They instead had 404 so the rest must have been there when they opened:

= 404 - 156

= 248 boxes

Using the Triangle Sum Theorem, please solve for the value of x.
Please type out ALL OF YOUR WORK along with your answer for x. Work is worth 5 points, answer for x is 2 points.
3x
1
12x
55°

Answers

Answer:

x = 25

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles and equate to 180

2x + 3x + 55 = 180, that is

5x + 55 = 180 ( subtract 55 from both sides )

5x = 125 ( divide both sides by 5 )

x = 25

PLEASE help im timed

Answers

Answer:

Step-by-step explanation:

Last one?

Answer:

the second one

Step-by-step explanation:

SOHCAHTOA, we use the toa part

tan(24)=x/12

PLS HELLLLLPPPP ASAPPPP!

Interest = $45
Principal = ?
Interest rate = 3%
Time = 2 years

Answers

What interest is this. Simple or compound? Cause both have different formulas.

Simple interest

A(interest) = (Principal× Rate×time)

A= (P ×3×2years)/100%

$45 = 6/100P

4500= 6p

4500/6 = P

principal= $750.

A child ate 30 grams of cereal for breakfast and her brother ate 40% more than that. How many grams of cereal did the brother eat?

Answers

Answer:70%

Step-by-step explanation: 30 + 40 grams = 70

70 Grams

Liam paints chairs at a constant rate. He paints 2 chairs in 20 minutes. Which equation represents the relationship between h, the number of hours Liam paints chairs, and n, the number of chairs he paints?

Answers

Answer:

6h

Step-by-step explanation:

1 per 10 minutes

that means 6 per hour

Choose the graph of this equation. y = 2.5x

Answers

Answer:

A.

have a good day or night

Wanna be brainlest thanked every day and 5 starred?
Just anwser this correctly

Answers

Answer:

1 Bag = 12.3 Ounces

5 Bags = 61.5 Ounces

123 Ounces = 10 Bags

Step-by-step explanation:

24.6 divided by 2 is 12.3.

12.3 times 5 is 61.5

61.5 times 2 is 123.

The value of 6 nickels is _____% of the value of a dollar.

60
50
40
30
NEED HELP RIGHT AWAY!!!

Answers

Answer:

30%

Step-by-step explanation:

Becuase 6 nickels add up to 30

18-12x=-2(6x-9)
fast please

Answers

Answer:

The answer is 18 -12x = -12x + 18

the answer is “all real numbers”

how old am i if 2 times my age minus 10 is 60?

plz answer

Answers

you’re 35 because 60+10 is 70 divided by 2
35 years old have a good day

In order to select new board members, the Student Leadership club held an election. 14 members voted in the election and 6 did not vote. What percentage of the members voted?

Answers

Answer: 70%

Step-by-step explanation:

Based on the information, we told that 14 members voted in the election and 6 did not vote. There, the total number of members is 6 + 14 = 20.

The percentage of the members that voted will be:

= 14/20 × 100

= 70%

You are a space alien. You visit planet Earth and abduct 97 chickens, 47 cows, and 77 humans. Then, you randomly select one Earth creature from your sample to experiment on. Each creature has an equal probability of getting selected. Create a probability model to show how likely you are to select each type of Earth creature. Input your answers as fractions or as decimals rounded to the nearest hundredth.

Answers

Answer:

there are 97 + 47 + 77 = 221 creatures from Earth in the alien spaceship.

the probability that a human being is chosen at random = 77 / 221 = 0.3484 = 34.84%

the probability that a chicken is chosen at random = 97 / 221 = 0.4389 = 43.89%

the probability of choosing a cow at random = 100% - 34.84% - 43.89% = 21.27%

Answer:

0.44

Response 2

0.21

Response 3

0.35

Step-by-step explanation:

hiii please help i’ll give brainliest please please thank youuuuu

Answers

Answer:

5:3=8

120. 120÷8=15

5×15=75. 3×15=45

there are 45 children

NOW FOR REAL ITS MISSING DUE YESTERDAY I NEED THIS DONE NOW

Distance (meters)

time (seconds)

Estimate when he had run 19.5 meters

Answers

Answer:

6.45

Step-by-step explanation:

6.9-6.0=0.9

0.9÷2=0.45+6=6.45

This is the middle between 18 and 21.

Hope this helps and give brainliest, thank me and rate it 5 please. :)

Answer:6.45

Step-by-step explanation:

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