Solve for x using common denominators.[tex]\frac{3}{4(x+2)}=\frac{x}{(x+2)}[/tex]

[A]-\frac{4}{3}[/tex]
[B]\frac{4}{3}[/tex]
[C]-\frac{3}{4}[/tex]
[D]\frac{3}{4}[/tex]

Answer:

y=9x+4

Step-by-step explanation:

9 is the slope and 4 is the y-intercept, or the "b"

Answer:

   mm

Step-by-step explanation:

The four consecutive odd numbers are  - 11, - 9, - 7, - 5.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Let the four consecutive integers be n, (n + 2), (n + 4), and (n + 6).

Given, 5 times the sum of the first and the third was 22 greater than the product of 8 and the sum of the second and the fourth.

∴ 5(n + n + 4) = 8(n + 2 + n + 6) + 22.

5(2n + 4) = 8(2n + 8) + 22.

10n + 20 = 16n + 64 + 22.

10n - 16n = 86 - 20.

- 6n = 66.

n = - 11.

So, The numbers are - 11, - 9, - 7, - 5.

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Answer:

y - 5

12x + 18y

Step-by-step explanation:

6) five less than y

y - 5

7) six times the quantity of two x plus 3 y

2x + 3y

six times the above exp

6(2x + 3y)

= 12x + 18y

Answer:

Step-by-step explanation:

According to segment addition postulate we have:

We are given:

Then substitute values into the first equation:

Find the length of AB:

Answer:

12 photos fit on page = 1

432 photos fit on page = 432/12

= 36 pages

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

36 pages

Step-by-step explanation:

There are 12 photos per page, and Robert has 432 photos. So, we can divide the number of photos he has by the number of photos that fits on each page. By doing so, you'll calculate the number of pages he needs. This calculation is shown below:

[tex]\frac{432 \ photos}{1} *\frac{1 \ page}{12 \ photos} = 36 \ pages[/tex]

You can see that the units for photos cancel out, resulting in units for pages.

So, Robert will need 36 pages in order to fit all 432 photos into his photo album.

Answer:

B. 4 steps

Step-by-step explanation:

[tex]84 \div 21 = 4[/tex]

84 snacks

21 friends

how many snacks each of her friend gets.

[tex] \frac{84}{21} [/tex]

[tex] = 4[/tex]

hence, each of her friend will get 4 snacks.

answer= option B

Answer:

Ratios are proportional if they represent the same relationship. One way to see if two ratios are proportional is to write them as fractions and then reduce them. If the reduced fractions are the same, your ratios are proportional.

Step-by-step explanation:

Answer:

$0.50 or 50 cents

Step-by-step explanation:

If he bought 2 and a half sacks of fertilizer for $2.20 that means u multiply 2.20 2 and a half times so first lets divide 2.20 by 2 to find the solution of the "0.5" which is 1.10

2.20 times 2 equals 4.40 then we add the 1.10 so 4.40 plus 1.10 is $5.50.

For the 4.5 sacks of 1.80 we will do the same technique half o 1.80 is 90 cents so 0.90 and 4.5 times 1.80 is $8.10 we then add the 90 cents making it $9.

We then add the 2 totals of $9 and $5.50 which equals $14.50, the change would be 50 cents which in decimal form would be $0.50

Answer:

2/(x + 1)

Step-by-step explanation:

Answer:

Roopa: 10

Amita: 14

Step-by-step explanation:

5x+7x=24

12x=24

x=2

5x=10

7x=14

Answer:

Step-by-step explanation:

5/7*24

=5/7*24

=17.14 apples

Using the slope - intercept format, the equation which models the data represented by the graph is d(t) = -50t + 300

According to the general form of a linear regression equation :

Slope, b = (Δy ÷ Δx)

Slope = (200 - 50) ÷ (2 - 5)

Slope = 150 ÷ -3 = -50

Intercept is the point where the regression line crosses the y - axis.

From the graph, the intercept = 300

Hence, the regression equation is y = -50t + 300

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Answer: The percent of increase is 66.67%.

Step-by-step explanation:

Find the percent of increase of baseball cards.

Step 1: Subtract the starting value from the final value.

                                       65 - 39 = 26

Step 2: Take the value you get and divide it by the starting value.

                                       26 ÷ 39 = 0.666667

Step 3: Multiply what you get by 100.

                                       0.666667 × 100 = 66.6667

Step 4: Round what you get the nearest hundredth of a percent.

                                        66.6667 → 66.67%

Answer:

slope is -1/2 and y- intercept is 1/3

Step-by-step explanation:

use y=mx+b

m=slope

b= y-intercept

rearrange your equation

y=1/3-1/2x

y=-1/2x+1/3

Answer:

x= 38

y= 71

Step-by-step explanation:

The triangle shown in the figure is an isosceles triangle, a triangle having two sides equal.

The two sides marked with a "dash" are said to be equal.

If we label off the triangle as ABC with AD being the extended length (containing 108°).

We'll get,

AB = AC

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

*Property*

"If two sides of a triangle are equal their corresponding base angles are equal too."

=> ∠BAC = ∠BCA . . . . (¡)

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

From the figure, ∠BCA is equal to y.

*Property*

"Two angles on a straight line sum up to 180°"

∠BAC can be found out by subtracting 109° from the straight angle (180°).

=> ∠BAC = 180 - 109

=> ∠BAC = 71°

Substituting these values in eqn. (¡):

71 = y

Hence, the value of y is 71°

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

*Property*

"The exterior angle(angle on the extended side) of a triangle is equal to the sum of it's interior opposite angles."

Here,

=> 109 = x + 71

=> 109 - 71 = x

=> x = 38°

Hence, the value of x is 38°.

Answer:

x = 64°

Step-by-step explanation:

180 makes up a trinagle. For this triangle, two sides aproaching 52 degrees. Meaning The other two angles will be the same. So, 180-52 to get 128. Then, because there is 2 needing an angle, then you divide 128 by 2 to get 64. 64° for each side thats not labeled. So the answer is, x=64°

Answer:

25555555557777385381938$88388+2

Total area of the rectangle = 12 × 24 = 288

The non-shaded regions make up a semicircle with radius 12, so the non-shaded region has area = 1/2 × π × 12² = 72π

The area of the shaded region is then 288 - 72π.

The probability of picking a point in the shaded region is then

(288 - 72π) / 288 ≈ 0.215

Answer:

Below.

Step-by-step explanation:

1. 10^8 × 10^4 = 10(8+4) = 10^12.

2. (11^5)^4 = 11^(5*4) = 11^20.

3. 8^6 ÷ 8^3 = 8^(6-3) = 8^3.

4. (12^2) × 12^4 = 12^6.

5. (13^4) ÷ 13^5 = 13^(4-5) = 13^-1.

6. (5^2 × 5^3) ÷ 5^4 = 5^5 / 5^4 = 5.

7. 18^4 ÷ 18^6 = 18^-2.

8. (19^2)^4 ÷ 19^8​ = 19^8 / 19^8  = 18^(8-8) = 18^0 = 1.

Answer:

  3/2

Step-by-step explanation:

Finding the slope of a line on a graph is easier if you can identify places where the line crosses grid intersections. We see two of those to be ...

  (4, 1) and (6, 4)

The second of these points is 4-1 = 3 grid squares higher than the first point. It is also 6 -4 = 2 grid squares to the right. The slope is the ratio of these values:

  slope = "rise"/"run" = 3/2

The slope of the graphed line is 3/2.

Answer:

- 27/40

Step-by-step explanation:

Step-by-step explanation:

a.

1) if A(2;9) and B(6;17), then it is possible to make up the equation of the required line according

2) the rule:

[tex]\frac{x-X_A}{X_B-X_A} =\frac{y-Y_A}{Y_B-Y_A};[/tex]

3) if to substitute the coordinates of A&B into the rule, then:

[tex]\frac{x-2}{6-2}=\frac{y-9}{17-9}; \ => \ \frac{x-2}{4}=\frac{y-9}{8}; \ => \ \frac{x-2}{1}=\frac{y-9}{2};[/tex]

or 2x-y+5=0 or y=2x+5 (slope-interception form).

P.S. note, the suggested solution is not the shortest one. This task can be solved if to make up the system of two equations in slope-interception form.

b. see the attached picture (the required line is red colour);

c. f(4)=13. Short explanation: if to substitute the coordinate x=4 into the equation y=2x+5, then y=2*4+5=13;

d. the domain is (-∞;+∞), the range is (-∞;+∞).

Answer:UwU

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

9*12=108

6*8=48

108-48=60

Answer:

x = 3, y= 5

Step-by-step explanation:

y = 2x - 1 -----(1)

y = 3x + 2 ----(2)

From (1)

2x - y = 1 ----(3)

From (2)

3x - y = -2 -----(4)

Solving (3) and (4) simultaneously

2x - y = 1

- 3x - y = -2

___________

x = 3

subst. x = 3 in (1)

2(3) - y = 1

6 - y = 1

y = 6-1

y = 5

Hence, x = 3, y = 5

Answer:

990

Step-by-step explanation:

9900 * 10/100

= 990

Hello there!

First, divide by 100:

99

Now, multiply by 10:

990 is the answer.

Hope it helps!

~Just a determined gal

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[tex]MysteriousNature[/tex]

Answer:

leave at  1:30 PM

Step-by-step explanation:

10 mph 40 hours 6600/1200 5.5 hr  40/15 2 hr 40 mins 5.5 -.5 =

After two hours there at the meeting place, the helicopter must depart at 1:30 pm to join the boat.

Speed is the rate an object travels in a predetermined period of time.

Its speed is expressed in km/h. 

As per the given information in the question,

If the boat goes to the station ,

Speed of the boat = 10mph

it will take 400/10 = 40 hours.

The helicopter has, 6600 lbs of fuel.

It will take 30 minutes to clean the fisherman and an additional hour to get enough fuel.

1.5 × 1200 = 1800 lbs of fuel.

So, the amount of fuel helicopter now has

6600 - 1800

= 4800 lbs of fuel.

This will allow it to fly for 4 hours as:

4800 lbs/1200 lbs per hour, It can only travel at 150 mph for two hours one way.

= 300 miles distance from the station.

The boat is available at 400 miles, and its maximum flight time at 150 mph is two hours going one way, which is 100 miles from where it is now,

So,

100/10 = 10 hours, the journey to the meeting location will take the boat ten hours.

To reach the boat, which will require 10 hours, the chopper must take off after 8 hours since it will take 2 hours.

So 8 hours of time from 5:30 am will be equal to 1:30 pm.

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Your question seems incomplete, probably the complete question is:

A crewman on a fishing boat was injured and needs to be treated in a hospital right away. You are with a Coast Guard station nearest to the boat, but you are 400 miles away. The boat travels at a rate of 10 mph. It is 5:30 A.M. You have a helicopter that can hold 6600 lbs. of fuel, consumes 1200 pounds of fuel an hour, and travels 150 mph. However, you need to save a minimum of 1 hour worth of fuel for landing problems at the Coast Guard station, and you need to have 30 minutes’ worth of fuel to remove the crewman from the boat. You have to create a plan for extracting the crew member. When would you leave and why? Fully explain your answer.

Answer:

1

Step-by-step explanation:

From -3 to -7 the distance is 4 (-3--7=4). Midpoint means that point -3 bisects the segment into two equal parts. So, the other endpoint is 4 units away from -3. Since -3+4=1, 1 is answer.

Answer:

Solution,

or, 2x-4=24

or, 2x=24+4

or, 2x=28

or, 2×x=28

or, x=28÷2

or, x=14 (answer)

The solution of the equation is x = 14.

An equation is two algebraic expressions that have the same value and have the equal sign in between them.

We have the equation:

2x-4=24

Adding 4 to the both of side,

2x=24+4

2x=28

Divide by 2 on both side,

x=28÷2

x=14

Therefore, x = 14 is the solution of the equation.

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