A bed frame normally weighs 60 pounds. A new, stronger material increases the duriability of the frame but makes it weigh 30% more. How many pounds does the new frame weigh

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:

4

Step-by-step explanation:

Answer:

8/32 =4 so 4 per min

Step-by-step explanation:

Answer:

(x2 +16)⋅(x+3)

Step-by-step explanation:

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

#SPJ2

Angle A = 3x - 10

Angle B = x

Their angle sum = 90° ( complementary angles form 90° )

This can be written in an equation as =

= 3x - 10 + x = 90

= 3x + × + ( -10 ) = 90

= 4x + (-10) = 90

= 4x = 90 + 10 ( transposing-10 from LHS to RHS changes-10 to +10 )

= 4x = 100

= x = 100 ÷ 4 ( transposing ×4 from LHS to RHS changes ×4 to ÷4 )

= x = 25

Angle A = 3x - 10

= 3 × 25 - 10

= 75 - 10

= Angle A = 65°

Angle B = x = 25°

Their sum = 65 + 25 = 90°

Therefore , the complementary angles , Angle A = 65° and Angle B = 25° .

Answer:

200,000

80,000

9,000,000

10,000,000,000

What is the context of this question?

Step-by-step explanation:

Answer:

So standard form just means 200,000 written as like 200^ something(I think)

Step-by-step explanation:

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: 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.

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:

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:

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:

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

Answer:

24

Step-by-step explanation:

18/30×40=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: 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:

x=3

x=−3

Step-by-step explanation:

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:

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°

The answer is to the question is c.11

-4v5i

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Answer:

a. intersecting

b. parallel

c. skew

d. intersecting

e. parallel

Answer:

y=1/2x-1

Step-by-step explanation:

0,-1

2,0

0--1 si 1

2-0 is 2

1/2

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:

∠ 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:

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:

−987889880538

Step-by-step explanation:

Answer:

-987889880538

Step-by-step explanation:

ez