Select all the equations that have the same solution as the equation 3x-12=24

Answer:

120 square inches

Step-by-step explanation:

From the above question, we are told that:

Rectangle ABCD is similar to Rectangle WXYZ .

The area of ABCD is 30 square inches.

We are also given the ratio of their side length = 1/2

To the find the area of the second rectangle, the scale factor = k² is required where:

k = ratio of the side lengths

Let us represent the area of the.secind Rectangle as = x

Because the ratio of the corresponding side lengths is 1/2, the ratio of the areas is equal to (1/2 ) to the second power.

Hence

30/x = k²

30/x = (1/2)²

30/x = 1/4

We cross Multiply

= 30 × 4 = x

x = 120 square inches.

Therefore, the area of Rectangle WXYZ is 120 square inches.

Answer:

Points J, K and Q are collinear

and

There is only one line that can be drawn through points L and P

The true statements are:

Points J, K and Q are collinear.

And, there is only one line that can be drawn through points L and P.

Collinear points are the points that lie on the same straight line or in a single line.

Only one straight line can pass through the two points.

According to the question

We have a diagram in which there are eight points and four lines.

From the given diagram we can see that points J, K and Q lie on the same straight line.

Therefore, points J, K and Q are collinear.

As we know that, only one straight line can pass through the two points.

Therefore, from  two points L and P only one straight line can be drawn.

Hence, statements second and fifth are correct.

Find out more information about collinear points here:

https://brainly.com/question/1593959

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Answer:

$ 2.76

Step-by-step explanation:

Hi there !

1 pd ........... $1.15

2.4pd .........$ x

x = 2.4×1.15/1

= $ 2.76

Good luck !

Answer:

Bananas cost $1.15 per pound

Cost of 2.4 pounds of bananas

= $(2.4×1.15)=$2.76

$2.76 is the right answer.

Answer:

4

Step-by-step explanation:

Answer:

8/32 =4 so 4 per min

Step-by-step explanation:

Answer:

4y=16 is true if you do the problem you can see it wont work and i simplified and got the answer

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

Total quantity of water = 2/3

Total quantity drank = 1/4

The portion of the water that you drank = 1/4 of 2/3

= 1/4 × 2/3

= 1*2 / 4*3

= 2 / 12

= 1 / 6

The portion of the water that you drank = 1/6

This means you drank one - sixth of the water in the bottle

Answer:

∠ Q = 75°

Step-by-step explanation:

Since PR and PQ are equal then the triangle is isosceles, thus

the base angles R andQ are congruent

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

Sum the 3 angles and equate to 180

x + 2x + 15 + 2x + 15 = 180, that is

5x + 30 = 180 ( subtract 30 from both sides )

5x = 150 ( divide both sides by 5 )

x = 30

Thus

∠ Q = 2x + 15 = 2(30) + 15 = 60 + 15 = 75°

Answer:

Step-by-step explanation:

1/6

Answer:

a. intersecting

b. parallel

c. skew

d. intersecting

e. parallel

12=8 minutes

24=16 minutes

36=24 minutes

48=32 minutes

Answer:

8 min in 12, 16 in 24, 24 in 36, and 32 in 48

Step-by-step explanation:

First of all, we know that 12 blocks is done 8 minutes. and we see the 12, 24, 36, and 48 are all multiples of 12, so that pattern is adding 12. That means we shall continue the pattern with multiples of 8. So, for every 24 blocks, it will take 16 minutes, and in 36 blocks, it will take 24 minutes, and so on. I hope this helps and I hope it's right, and if it isn't I apologize.

Answer:

0.000843

Step-by-step explanation:

simplify the expression:

8.43 × 0.0001

now simplify:

0.000843

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Answer:d = distance down wind d - 5 = distance back time = distance ÷ speed x = d/18 x = (d - 5)/(15)

so d/18 = (d - 5)/15. Cross multiply 18d - 120 = 15d = 40-120 = -5d 24 = d so the whole trip assuming the bird gets back to the starting point is 48 miles..

Step-by-step explanation:

Answer:

3.75 or 3[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

The first thing we can find is the scale factor of the two triangles. You can see that the corresponding sides AB and A'B' are 2 and 8 respectively, and since the two triangles are similar, you can say that triangle ABC is shrunk by a factor of 2/8 or 1/4.

Next, we need to figure out what side B'C' is and we can do this using the Pythagorean theorem [tex]a^{2}[/tex]+[tex]b^{2}[/tex] = [tex]c^{2}[/tex]. Using this, we know that [tex]8^{2}[/tex]+

Now, since ABC is shrunk by 1/4 and the corresponding side of BC is equal to 15, we need to multiply 15 by 1/4 and you would find that BC is 3.75 or 3[tex]\frac{3}{4}[/tex].

Answer:

Its undefined lol

Step-by-step explanation:

Answer: Any number divided by 0 is undefined.

Step-by-step explanation: Think about it. How would you split something into 0 groups? That makes no sense; therefore you have an undefined value. This is true of all numbers.

Answer:

The land that is covered with an irrigation arm of 370 ft is  [tex]430,084\ ft^2[/tex]

Step-by-step explanation:

Area of the circle

Being r the radius of a circle, its area can be calculated as follows:

[tex]A=\pi\cdot r^2[/tex]

The irrigation arm acts as the radius of the irrigation circle, thus r=370 ft. The land covered is the area under the irrigation arm, thus:

[tex]A=\pi\cdot 370^2[/tex]

[tex]A=430,084\ ft^2[/tex]

The land that is covered with an irrigation arm of 370 ft is  [tex]430,084\ ft^2[/tex]

Answer:

I'm pretty sure it's 2

Step-by-step explanation:

x^2=9

Step 1: Take the square root.

x=±√9

x=3 or x=−3

Answer:

3.8146973e+12

Step-by-step explanation:

you have to do 5x5 18 times to get this answer.

Answer:

The two on the top

Answer:

29° and 58°

Step-by-step explanation:

Since XY bisects ∠ WXZ then ∠ WXY and ∠ ZXY are congruent, thus

∠ ZXY = ∠ WXY = 29°

∠ ZXW = ∠ WXY + ∠ ZXY = 29° + 29° = 58°

Answer:

true

Step-by-step explanation:

Answer: After 25 minutes both containers will  have the same amount of water.

Step-by-step explanation:

Let x = Number of  minutes

y= Quantity of water

For container I, Quantity of water will be :

y =  4.6+ 1.2x

For container II, Quantity of water will be :

y =  54.6-0.8x

According to the question, we have

4.6+ 1.2x = 54.6-0.8x

Add 0.8x on both sides and subtract 4.6 on both sides , we get

1.2x+8x = 54.6-4.6

⇒ 2x = 50

Divide both sides by 2, we get

x= 25

So after 25 minutes both containers will  have the same amount of water.

Step-by-step explanation:

Answer:

C is the answer! You're welcome

Answer:

C is your answer

Step-by-step explanation:

8 x 4 = 32 sq ft

Hope this helps!  :)

Answer:

It would be 18/40 and his grade would be a 45%

Answer:

24

Step-by-step explanation:

18/30×40=24

Answer:

There were 69 students in advanced math and 184 students in regular math before the placement tests

Step-by-step explanation:

The correct question

At the beginning of 6th grade, the ratio of the number of advanced math students to the number of regular math  students was 3:8. However, after taking placement tests, students were moved around changing the ratio of the  number of advanced math students to the number of regular math students to 4:7. How many students started in  regular math and advanced math if there were 92 students in advanced math after the placement tests?

Let

x ----> the number of advanced math students

y ----> the number of regular math students

we know that

At the beginning of grade 6

----> equation A

After taking placement tests

----> equation B

----> equation C

Remember that

The total number of students at the beginning of grade 6 is the same that the number of students after taking placement tests

step 1

Find out the total number of students  after taking placement tests

we have

----> equation B

----> equation C

substitute the value of x in equation B and solve for y

The total number of students  after taking placement tests is

step 2

Find out how many students started in  regular math and advanced math

we have that

At the beginning of grade 6

----> equation A

-----> equation  D

Solve the system of equations by graphing

The solution is the intersection point both graphs

using a graphing tool

The solution is the point (69,184)

see the attached figure

therefore

There were 69 students in advanced math and 184 students in regular math before the placement tests

Answer:

:o

Step-by-step explanation:

Answer:

D. $30.80

Step-by-step explanation:

8/100=0.08

0.08*24.80=1.984

1.984+24.80=26.78

15/100=0.15

0.15*26.78=4.017

4.017+26.78=30.80

Answer: 37

Step-by-step explanation:

Use A squared plus b squared equals c squared.

1. 35 squared is 1,225.

2. 12 squared is 144.

3. 144 plus 1,225 is 1,369. Now is 1,369 a square number?

Well the square root of 1,369, that's 37.