Evaluate the expression when b = -2 and c = 2. b - 8c

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!

Answer:

correct students

-5+2x=15

2x=15+5

2x=20(divided by 2 both sides)

x=10

mistake students

-5+2x=15

-3x=15(divided by - 3 both sides)

x=-5

The required simplified value of the given expression is given as x = 10.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Given expression,
-5 + 2x = 15

Now,
Adding 5 on both sides,
2x = 15 + 5
2x = 20

Divide by 2 into both sides
x = 10

Thus, the required simplified value of the given expression is given as x = 10.

Learn more about simplification here:

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The question is incomplete, the correct solution is given above, to determine the mistake of the student, compare the above solution with the student solution.

Answer:

Area=190.091 cm^2

Step-by-step explanation:

Area = 1/2(Pi x r^2)    one-half because it's a semi-circle

Area=1/2(3.14 x 11^2)

11^2=121 so, Area=1/2(3.14 x 121)

Area=1/2(379.94)

Area=189.97 cm^2

adjustment:

Area=1/2(3.142 x 11^2)

Area=1/2(3.142 x 121)

Area=1/2(380.182)

Area=190.091

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.

Answer:

r = 1

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

its 7

Answer:

slope Formula = y^2-y^1/x^2+x^1

Step-by-step explanation:

now,

[tex]10 - 3 \div 6 - 5 [/tex]

[tex]7 \div 1[/tex]

[tex] = 7[/tex]

Answer:

225 ft^2

Step-by-step explanation:

From what we have in the question, we have 60 ft of fencing

To maximize the area, we will need to have a square

For a square, the length of all sides are equal

Let us call one of the sides s

Thus, from the perimeter of the square;

4s = 60

s = 60/4

s = 15 ft

The area is thus, the product of the side length of the square

15 * 15 = 225 ft^2

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

Answer:

AC = 4.7 feet

Step-by-step explanation:

cos 20° = x

                5

5 · cos 20° = x

4.7 = x

Answer

This question has multiple answers to narrow it down to one we need to know how old is Maria.

Step-by-step explanation:

Answer:

Function 1 is negative with a slope of -5 and Function 2 is positive with a slope of 3.

Step-by-step explanation:

Slope Formula: (y2 - y1)/(x2 - x1)

Function 1: m = -2 - (-12) / 1 - 3

m = 10 / -2

m = 5 / -1

m = -5

Function 2: m = 3/1

m = 3

Answer:

5%

Step-by-step explanation:

As given,

The population of the town increased from 175000 to 262500 in a decade.

⇒ In 10 years , population increased from 175000 to 262500

⇒% increase = [tex]\frac{262500 - 175000}{175000}[/tex]× 100% = [tex]\frac{87500}{175000}[/tex]×100% = 0.5×100% = 50%

Now,

Average % increase = [tex]\frac{percent increase}{Total years}[/tex] = [tex]\frac{50}{10}[/tex]% = 5%

∴ we get

Average percent increase of population per year = 5%

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:

Answer: 5

Step-by-step explanation:

Terms are single numbers, variables, or the product of a number and variable.

Answer:

The sale price of the vehicle is $36885

Step-by-step explanation:

One particular model had a sticker price of $49,180 when it was new. This means that the initial cost of the car was $49,180. It has just been marked down by 25%. This means the initial price of the car was reduced by an amount. The amount by which the initial price of the car was reduced would be

25/100 × 49180 = 0.25 × 49180 = $12295.

The sale price of the vehicle would be

49180 - 12295 = $36885

Answer:

it should be 1/8

Step-by-step explanation:

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:

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.

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Answer:

1.325 mg

have a good day :)

Answer:

9.3750 mg

Step-by-step explanation:

The radius of the circle is 3

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:

y = 0.75

Step-by-step explanation:

(4y + 1) = 4

4y + 1 = 4

4y + 1 - 1 = 4 - 1

4y = 3

4y ÷ 4 = 3 ÷ 4

y = 0.75

Answer:

$4000

Step-by-step explanation:

1500 × 2 =3000

3000 × ³/4 = 4000

Answer:

2/3

Step-by-step explanation:

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

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:

(-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