A box of cereal contains 510 grams of cereal. To make a bowl of cereal, n grams of cereal is removed from the box. What equation models the relationship between the quantity of cereal removed, n, and the quantity of the cereal remaining in the box, b?

if the addition if (X+45)° and (X+105)° equal 180°

due to they are a co- interior angles.

then X+45+X+105 = 180°

2X+150 = 180°

2X = 30

X = 15°

Answer: I wasn't sure if number 18 was 350.00 but that's what I put down to do the problem hope I'm not too late.

9. $72.45

10. $15.52

11. $30.69

12. $48.95

13. $6.39

14. $67.6

15. $18.02

16. $51.6

17. $11.25

18. $175.00

19. $3.20

20. $10.00

21. $31.25

22. $45.90

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

supplementary means two angles that there sum will be 180. and 30 x 4 = 120 + 20 = 140 and if you add the other angle 40 that's 180.

what is the question again?

Answer:

Step-by-step explanation:

(1-0.32)p=357

0.68p=357

p=$525

Answer:

471.24

Step-by-step explanation:

First you want to find 32% of 357, which is 114.24. Then you want to add that onto 357. Hope this helps!

6√3

Step-by-step explanation:

6 is x. side across from right angle (12) is 2x. so 6x2 to get 12. missing side is x√3. so 6√3

Answer:

6√3

Step-by-step explanation:

using the pythagorean theorem you can plug in the numbers to get √(12^2 - 6^2) = √(144-36) = √108 = 6√3.

Answer:

(-3, 13)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

y = -4x + 1

11y = x + 146

Step 2: Solve for x

Substitution

Step 3: Solve for y

Answer:

1.325 mg

have a good day :)

Answer:

9.3750 mg

Step-by-step explanation:

Answer:

250

Step-by-step explanation:

-17+n/5=33

n/5=33-(-17)

n/5=33+17

n/5=50

n=50*5

n=250

n=182

Step by Step Explanation:

The equation we would start out with is:

[tex] \frac{ - 17 + n}{5} = 33[/tex]

From here, we need to multiply both sides by 5. This would create an equation of -17+n=165, as we canceled out the 5.

Then, you need to add 17 to both sides to isolate the variable. This would make the equation n=182, our final answer.

Hi! Your answer is 125/3 π

Please see an explanation for a clear understanding to the problem.

Any questions about the answer/explanation can be asked through comments! :)

Step-by-step explanation:

For this problem, I'll be demonstrating two methods to solve your problem which are Integration method and Formula method. Let's start with Formula method first!

Formula Method

Volume of Cone Formula

[tex]V=\huge{\frac{1}{3}\pi r^2h}[/tex]

r is a radius. Therefore, r² is a diameter.

h is height of cone.

Our r is 5. Therefore, 5² = 25.

Our h is 5.

Substitute these values in the equation.

[tex]V=\huge{\frac{1}{3}\pi (5)^2(5)}\\V=\huge{\frac{1}{3}\pi (25)(5)} \\V=\huge{\frac{1}{3}\pi (125)}\\V=\huge{\frac{125}{3}\pi}[/tex]

Hence, the volume of a cone is 125/3 pi. If you want in Mixed Number form then It'd be 41 and 2/3 pi [ 41 2/3 pi]

Integration Method - Proof

Let r':r = x:h

Therefore,

[tex]\huge{\frac{r'}{r}=\frac{x}{h}}\\\huge{r'=\frac{x}{h}r[/tex]

r and h both are same (r is still radius while h is still height)

[tex]\huge{S(x)=\pi(r')^2[/tex]

The reason why we add pi because the surface is a circle. If the surface is not a circle, we don't add pi.

[tex]\huge{S(x)=\pi(\frac{x}{h}r)^2}\\\huge{S(x)=\pi(\frac{x^2r^2}{h^2})}\\\huge{S(x)=\frac{\pi r^2}{h^2}x^2}\\[/tex]

The range starts from 0 ≤ x ≤ h

[tex]\huge{V=\int\limits^h_0 {S(x)} \, dx[/tex]

Substitute S(x) in.

[tex]\huge{V=\int\limits^h_0 {\frac{\pi r^2}{h^2}x^2 } \, dx[/tex]

Integrate, separate everything in the integrand out except for x^2

[tex]\huge{V=\frac{\pi r^2}{h^2} \int\limits^h_0 {x^2} \, dx}\\\huge{V=\frac{\pi r^2}{h^2}[\frac{1}{3}x^3]^h__0}}\\\huge{V=\frac{\pi r^2}{h^2}[\frac{1}{3}h^3]}\\\huge{V=\pi r^2[\frac{1}{3}h]}\\\huge{V=\frac{1}{3}\pi r^2h}[/tex]

As you notice, Integration method is pretty useful, but it's mostly for an advanced volume lesson only.

Integration Method - Problem Solving

Let r':r = x:h

r is given as 5

h is given as 5 as well.

Therefore, r':5 = x:5

[tex]\huge{\frac{r'}{5}=\frac{x}{5}}\\\huge{r'=\frac{x}{5}(5)}\\r'=x[/tex]

[tex]\huge{S(x)=\pi(r')^2}\\\huge{S(x)=\pi(x^2)}\\\huge{S(x)=\pi x^2}[/tex]

The range of volume starts from surface to height. Therefore the range is 0 ≤ x ≤ 5

[tex]\huge{V=\int\limits^5_0 {S(x)} \, dx }\\\huge{V=\int\limits^5_0 {\pi x^2} \, dx }\\\huge{V=\pi\int\limits^5_0 {x^2} \, dx }\\\huge{V=\pi[\frac{1}{3}x^3]^5__0}}\\\huge{V=\pi[(\frac{1}{3}(5)^3-\frac{1}{3}(0)^3]}\\\huge{V=\pi[(\frac{1}{3}(125)-0)]}\\ \huge{V=\pi[(\frac{1}{3}(125)]}\\\huge{V=\pi(\frac{125}{3})}\\\huge{V=\frac{125}{3}\pi}[/tex]

Notice that both methods have same answer. Hence, we can conclude that the volume of a cone is 125/3 pi units²

Answer:

10

Step-by-step explanation:

The radius is half of the diameter, so 5 * 2 = 10

Answer:

diameter=2×radius=2×5=10units

Answer:

8x+30=110

8x=110-30

8x=80

x=80/8

x= 10

Step-by-step explanation:

Answer:

A and C

Step-by-step explanation:

It's B isn't it? If this is the question I'm thinking of. No image here so I'm just guessing.

Answer:

the 3rd one.

Step-by-step explanation:

Option D is correct, Aiku has a total of 4.12 meters of rope in all.

Two or more expressions with an Equal sign is called as Equation.

To find the total length of the rope in meters, we need to convert the lengths of the two ropes from centimeters to meters and then add them together.

The length of the first rope is 45 centimeters, which is equal to 0.45 meters (since 1 meter = 100 centimeters).

The length of the second rope is 367 centimeters, which is equal to 3.67 meters.

Adding these two lengths together, we get:

0.45 meters + 3.67 meters = 4.12 meters

Therefore, Aiku has a total of 4.12 meters of rope in all.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

Answer:

The Manchester, England sweater is more expensive.

27 GBP is equal to 49.52 CAD, which is more than the 38 CAD from the afterwards.

Step-by-step explanation:

The radius of the circle is 3

Answer:

AC = 4.7 feet

Step-by-step explanation:

cos 20° = x

                5

5 · cos 20° = x

4.7 = x

1. 0 > 3x - 3 - 6

0 > 3x -9

9 > 3x

3 > x

It would be a closed circle starting from 3 going to the right.

2. 4x + 1 - 1 >/ -8

4x >/ -8

x >/ -2

It would be an open circle starting from -2 going to the right.

3. -1 </ 2n + 4 - 5

-1 </ 2n -1

0 </ 2n

Undefined.

4. -6 > 5n + 5 + 4

-6 > 5n + 9

-15 > 5n

-3 > n

It would be a closed circle going to the right

Answer:

2/3

Step-by-step explanation:

There is a 2 in 3 chance the pointer will not land on c or d.

Answer:

Three perpendicular bisectors are required

Step-by-step explanation:

A perpendicular bisector of a line segment is a line that cuts the line segment at a 90° angle, dividing it into two equal halves.

In this example, one bisector produces two equal parts of the segment

two bisectors produce three segments and three bisectors, four segments as shown in the diagram.

Perpendicular bisectors are constructed using a compass and a pencil, you can check out how to construct one, it is pretty interesting.

Answer:

r = 1

Step-by-step explanation: