At a glassworks, 60 pounds of composite glass is required to produce 15 pounds of glass. How many pounds of composite are
required to produce 3 pounds of this glass?

Answer:

12.66 cm

Step-by-step explanation:

Area of the circle = 125.8 Sq cm

[tex] \therefore \: \pi {r}^{2} = 125.8 \\ \\ \therefore \: 3.14 \times {r}^{2} = 125.8 \\ \\ {r}^{2} = \frac{125.8}{3.14} \\ \\ {r}^{2} = 40.0636943 \\ \\ {r} = \sqrt{40.0636943} \\ \\ r = 6.32958879 \\ \\ r \approx \: 6.33 \: cm \\ \\ d \: = 2r \\ \\ d = 2 \times 6.33 \\ \\ d = 12.66 \: cm \\ [/tex]

Diameter of the circle = 12.66 cm

Since, circumference of the circle touches each of the four sides of the square.

So, length of the sides of the square

= diameter of the circle.

= 12.66 cm

Answer:

let's define:

x = number of dimes

y = number of quarters.

Then the total amount of money that he has is:

x*$0.10 + y*$0.25

Now we know that:

"He has no more than 24 coins"

Then:

x + y ≤ 24

"...worth at least $3.50 combined"

x*$0.10 + y*$0.25 ≥ $3.50

Then we have two inequalities:

x + y ≤ 24

x*$0.10 + y*$0.25 ≥ $3.50

To graph these, it is easier to write them as linear equations in the slope-intercept form.

Then we need to isolate the y-variable in both equations.

we will get:

y ≤ 24 - x

y ≥ $3.50/$0.25 - x*$0.10/$0.25

In the first equation we have:

"y is smaller or equal than the line"

Then this is graphed with a solid line, and we shade all the region below the line

For the second equation, we have the inverse case, then it will be graphed with a solid line and we need to shade all the region above the line.

The solutions for the system will be all these values that are in both shaded regions.

The graph can be seen below.

In the graph, we can see that one acceptable solution can be:

x = 5

y = 15

or

x = 6

y = 16

The only other restriction we should add is:

x ≥ 0

y ≥ 0

Because Lincoln can not have a negative number of coins, so we can only find solutions in the first quadrant.

Answer:

Two x's can have the same y, but an x cannot have different y's. For example, [(2,3)(-2,4)(3,3)(5,18)] is a function because all of the x's have a specific y, and there is not more than one y to an x. However, [(2,3)(-3,7)(2,-4)] is not a function because one of the x's has more than one y.

Step-by-step explanation:

(hope this helps-you can just put the first sentence...the rest is kinda wordy :P)

Answer: (b) Multiply the top equation by 3, multiply the bottom equation by 2, then add the equations.

Step-by-step explanation: the strat would eliminate a variable in this system

Answer:

ok have a nice time

Step-by-step explanation:

Answer:

I totally agree *brainly don't take down my answer pls*

Step-by-step explanation:

Answer:

24:9 or 24 to 9 or [tex]\frac{24}{9}[/tex]

Step-by-step explanation:

The amount of plums is 24. The amount of apples is 9. So to write the ratio of plums (24) to apples (9), you write 24 to 9. You can either write a colon - 24:9 - a to - 24 to 9 - or as a fraction - [tex]\frac{24}{9}[/tex]. But, you have to write it with plums first.

Hope it helps!

Answer:

-1=n I believe would be the answer.

Step-by-step explanation:

perimeter = sum of all sides of figure

perimeter = 18cm + 18cm + 8cm + 18cm + 30cm + 18cm + 18cm + 4cm

perimeter = 132cm

plz follow me

Answer:

x= 1

Step-by-step explanation:

2x1=2+3=5

Answer:

x is equals to 1..........

Answer: 40 + t =58

I just did the problem and the other ones don’t make sense

Answer:-3

Step-by-step explanation:

Answer:

that looks hard sorry i cant help you good luk .

Answer: C

Step-by-step explanation: My first time sorry if I am wrong

Answer:

The answer is <ACD = 68°

Step-by-step explanation:

Using the property that the sum of interior angles in a triangle is equal 180°,we have:

<DAC + <ACD + <ADC = 180°

[tex]2x + (180 - 4x) + 56 = 180 \\ - 2x + 56 = 0 \\ 2x = 56 \\ x = \frac{56}{2 } \\ x = 28[/tex]

Finally, calculating the angle <ACD, we have:

<ACD = 180 - 4x

<ACD = 180 - 4 . 28

<ACD = 180 - 112

ACD = 68°

Answer:

x = 28°

m∠ACD = 68°

Step-by-step explanation:

From inspection of the given diagram:

Vertical Angle Theorem

When two straight lines intersect, the vertical angles are congruent.

⇒ m∠DAC = m∠EAB = 2x

Angles on a straight line sum to 180°:

⇒ m∠ACD + 4x = 180°

⇒ m∠ACD + 4x - 4x = 180° - 4x

⇒ m∠ACD = 180° - 4x

Exterior Angle Theorem

The exterior angle of a triangle is equal to the sum of the two non-adjacent interior angles of the triangle.

⇒ m∠DAC + m∠ACD = m∠FDC

⇒ 2x + (180° - 4x) = 124°

⇒ -2x + 180° = 124°

⇒ -2x + 180° - 180° = 124° - 180°

⇒ -2x = -56°

⇒ -2x ÷ -2 = -56° ÷ -2

⇒ x = 28°

To find m∠ACD, substitute the found value of x into the expression for the angle:

⇒ m∠ACD = 180° - 4x

⇒ m∠ACD = 180° - 4(28°)

⇒ m∠ACD = 180° - 112°

⇒ m∠ACD = 68°

Answer:

36.45

Step-by-step explanation:

40.50* 0.10 =4.05

40.5-4.05=36.45

Answer:

---> --->  

WS  DS

Step-by-step explanation:

Answer:

lol hard!

Step-by-step explanation:

Answer:

5000 N

Step-by-step explanation:

Given:

Mass m = 1000 kg

Acceleration a = 5 m/s^2

Force F =?

By Newton's first law of motion:

F = ma

F = 1000 * 5

F = 5000 N

(N = Newton, unit of force is Newton and is written as N. )

Answer:

d is vertical so its 70 b c and a combined is also vertical to e so we have 110

Step-by-step explanation:

Answer:

5

C. 2

6.

A. (4, 5)

7.B.broken

line.

8.A.above the line

9.. 2x + y < 4

10.D. (-2,-3)

Answer:

5

C. 2

6.

A. (4, 5)

7.B.broken

line.

8.A.above the line

9.. 2x + y < 4

10.D. (-2,-3)

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIEST

Answer:

82,300

Step-by-step explanation:

last numbers is 345

so if 350 it would go to 400

but it is under so it goes to 300.

Answer:

1. Hundred is 82,300

2. Hundreths is 82,345.57

3. Tens is 82,350

4. Tenths is 82,345.6

Step-by-step explanation:

Hope this helps you!!

This value is approximate because pi = 3.14 is approximate

===========================================================

Work Shown:

r = 4 = radius

pi = 3.14 approximately

C = circumference

C = 2*pi*r

C = 2*3.14*4

C = 25.12

The circumference is approximately 25.12 meters.

Side note: The circumference is the same as the perimeter of a circle.

Answer:

r = -1

Step-by-step explanation:

-3(1+6r)=14-r

Distribute the -3

-3*1 -3*6r = 14-r

-3 -18r = 14 -r

Add 18r to each side

-3-18r+18r = 14-r+18r

-3 = 14+17r

Subtract 14 from each side

-3-14 = 14+17t-14

-17 = 17r

Divide by 17

-17/17 = -17r/-17

-1 =r

Answer:

No they don't (unless I messed up)

Step-by-step explanation:

([{3x=9} 2]=81) - ([{x=3}+1]=4) =77

([{2x=10} 2]=100) + {[(2x=25)-4]=21} = 79

Answer:

well we don't don't know...because x is unknown

Answer:

There no problem but 5<=x in equation form

Step-by-step explanation:

That way because x can either be five or higher

Answer:

4

Step-by-step explanation:

It is half of 8

A dozen is 12 if there's 2 that's 24 cakes

If they ate 3 now it's 21

Decide that by 3 now it is 8