Although five of John's answers were incorrect, 90% of his answers were correct. How many questions did John answer in all?

Answer:

4 3/12

Step-by-step explanation:

= 4.25 = 4 1/4 = 4 3/12

Answer:

[tex]2(4n+3)[/tex]

[tex]8n+6[/tex]

Step-by-step explanation:

We are given that

Let n represent the width of pool

Length of pool=[tex]3n+3[/tex]

We have to find two expression which represent the perimeter of the pool.

We know that

Perimeter of rectangle=[tex]2(l+b)[/tex]

Where l=Length of rectangle

b=Width of rectangle

Using the formula

Perimeter of pool=[tex]2(n+3n+3)[/tex]

Perimeter of pool=[tex]2(4n+3)[/tex]

Perimeter of pool=[tex]8n+6[/tex]

Hence,  two expressions that represent the perimeter of the pool is given by

[tex]2(4n+3)[/tex]

[tex]8n+6[/tex]

Answer:

[tex]x = \frac{y}{3} - \frac{5}{3}[/tex]

Step-by-step explanation:

Given

[tex]y = 5 + 3x[/tex]

Required

Solve for x

Subtract 5 from both sides

[tex]y-5 = 5 -5+ 3x[/tex]

[tex]y-5 = 3x[/tex]

Divide through by 3

[tex]\frac{y}{3} - \frac{5}{3} = x[/tex]

[tex]x = \frac{y}{3} - \frac{5}{3}[/tex]

Answer:

See Explanation

Step-by-step explanation:

To do this, we will make use of the following rules:

Direct Variation: [tex]a\ \alpha\ b[/tex] => [tex]a = kb[/tex]

Inverse Variation: [tex]a\ \alpha\ \frac{1}{b}[/tex] ==> [tex]a = k/b[/tex]

Joint Variation: [tex]a\ \alpha\ bc[/tex] ==> [tex]a= kbc[/tex]

Direct, then inverse variation: [tex]a\ \alpha\ b\ \alpha\ \frac{1}{c}[/tex] ==> [tex]a= kb/c[/tex]

Having highlighted the rules, the solution is as follows:

1. m varies directly to a

[tex]m\ \alpha\ a[/tex]

[tex]m =ka[/tex]

2. p varies inversely as q.

[tex]p\ \alpha\ \frac{1}{q}[/tex]

[tex]p\ = k\frac{1}{q}[/tex]

3. [tex]r\ varies[/tex] directly as s and inversely as t.

[tex]r\ \alpha\ s\ \alpha\ \frac{1}{t}[/tex]

[tex]r = k\frac{s}{t}[/tex]

4. z varies jointly as [tex]e\ and\ f.[/tex]

[tex]z\ \alpha \ ef[/tex]

[tex]z = kef[/tex]

5. F varies directly as the [tex]square\ of\ t.[/tex]

[tex]F\ \alpha\ t^2[/tex]

[tex]F = kt^2[/tex]

6. d varies jointly r and t

[tex]d\ \alpha\ rt[/tex]

[tex]d = krt[/tex]

7. P is inversely proportional to h.

[tex]P\ \alpha\ \frac{1}{h}[/tex]

[tex]P= \frac{k}{h}[/tex]

8. P varies directly as V

[tex]P\ \alpha\ V[/tex]

[tex]P=kV[/tex]

9. d varies directly as the square of  t

[tex]d\ \alpha\ t^2[/tex]

[tex]d = kt^2[/tex]

10. s varies jointly as  b and d and inversely as the  square L

[tex]s\ \alpha\ bd\ \alpha\ \frac{1}{L^2}[/tex]

[tex]s = k\frac{bd}{L^2}[/tex]

The translation of each statement to an equation using k as the constant of variation is

1. m varies directly to a.

m = k × a

m = ka

2. p varies inversely as q

p = k / q

3. r varies directly as s and inversely as t

r = (k × s) / t

r = ks / t

4. z varies jointly as e and f.

z = k × e × f

z = kef

5. F varies directly as the square of t.

F = k × t²

F = kt²

6. The distance (d) traveled by a car varies jointly as the rate (r) and the time (t) of travel.

d = k × r × t

d = krt

7. The air pressure (P) in inversely proportional to the altitude (h).

P = k / h

8. The amount of water pressure (P) in a closed container varies directly as the volume (V) of the

water.

P = k × V

P = kV

9. The distance (d) of a falling body varies directly as the square of the time (t) traveled.

d = k × t²

d = kt²

10. The stiffness (s) of a beam varies jointly as its breadth (b) and depth (d) and inversely as the

square of its length (L).

s = (k × b × d) / L²

s = kbd / L²

Read more:

https://brainly.com/question/472621

Answer:

200 cm3

Step-by-step explanation:

Multiply 10x4x5=200

Answer:

C

Step-by-step explanation:

All children at the state fair

Answer:

it's the fourth answer

Step-by-step explanation:

(X-4) (X-4)

[tex]x^{2}[/tex]-4x-4x+16

[tex]x^{2}[/tex]-8x+16

The expression is x² + 8x + 16. The correct answer is a) x² + 8x + 16.

To multiply (x - 4)², we can use the concept of expanding a binomial squared. The formula for expanding a binomial squared is:

(a - b)² = a² - 2ab + b²

In this case, a = x and b = 4. Substituting these values into the formula, we have:

(x - 4)² = x² - 2(x)(4) + 4²

= x² - 8x + 16

Therefore, the correct option is a) x² + 8x + 16.

To know more about binomial squared:

https://brainly.com/question/29142274

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Answer:

$48.98

Step-by-step explanation:

first move the decimal of your percent 2 places

8.6% = .086

then multiply by 53.58

.086 × 53 58= 4.60

subtract 4.60 from 53.58

53.58 - 4.60= 48.98

Answer:

The size of the bacteria after 8 hours will be of [tex]1.2 \times 10^{52}[/tex] squared inches.

Step-by-step explanation:

Exponential function:

An exponential function has the following format:

[tex]F(t) = F(0)(1+r)^{t}[/tex]

In which F(0) is the initial value and F is the growth rate.

A bacteria with an initial size of 180in2 grows by 27% every minute.

This means that [tex]F(0) = 180, r = 0.27[/tex]. So

[tex]F(t) = F(0)(1+r)^{t}[/tex]

[tex]F(t) = 180(1+0.27)^{t}[/tex]

[tex]F(t) = 180(1.27)^{t}[/tex]

In which t is measured in minutes,

What will the size of the bacteria be after 8hours

8 hours has 8*60 = 480 minutes, so this is F(480).

[tex]F(480) = 180(1.27)^{480} = 1.2 \times 10^{52}[/tex]

The size of the bacteria after 8 hours will be of [tex]1.2 \times 10^{52}[/tex] squared inches.

Answer:

neither!

Step-by-step explanation:

Answer:

U: (5,9)

W: (7,9)

V: (6,10)

T: (6,7)

Step-by-step explanation:

Answer: 1296π

Step-by-step explanation:

To find the surface are if a square, we have to use the formula:

= 4πr²

= 4 × π × 18²

= 4 × π × 324

= 1296π

Therefore, the surface area of the sphere is 1296π

Answer:

C

Step-by-step explanation:

I did the test right

Answer:

[tex]\frac{19}{14}x + \frac{97}{56}[/tex] =

^^^hope this helps! :)

Answer:

i think it's 7

Step-by-step explanation:

i think the pattern is like

x + x = x

x • x = x ( • = multiplication sign)

x + x = x

Hope this helps ;-;

Answer:

ndndnjxhdhfjhfjdirudjfjutt

Answer:

$32,277.80

Step-by-step explanation:

Answer:

37.5 ( i didn't round cause the answer looked simple already)

Step-by-step explanation:

formula for triangle is base x height divided by 1/2

Base(5) x Height(15) = 75 now divide by 1/2

75 divided by 1/2 = 37.5

(Could i have brainliest if i'm right?)

Answer: B

Step-by-step explanation: A=πr2

The formula for calculating the area of a circle is A = π​r​2 where pi (π) equals 3.14 and the radius (​r​) is half the diameter.

You must times 5 by 5 because of exponents and then times it by pie

5 times 5 = 25

25 times pie is 78.5

Answer:

[tex]b=8[/tex]

Answer:

B

Step-by-step explanation:

C its C hopes this helps

Answer: 12 is the awnser

Step-by-step explanation: simple math.

Answer:

2/3 of 4=8/3or 2 2/3 is your answer

Answer:

I have 2.66667 As a fraction it is 4/1

Step-by-step explanation:

I'm not completely sure I'm new to this :|

Answer:

[tex]-\frac{5}{4}[/tex]

Step-by-step explanation:

We are given two fractions and are asked to simplify it.

So

[tex](-\frac{4}{5} )^9 / (-\frac{4}{5} )^{10}[/tex]

We can follow the exponent rule of subtracting them since both fractions are the same value.

[tex](-\frac{4}{5} )^{9-10}[/tex]

[tex](-\frac{4}{5} )^{-1}[/tex]

Now do the negative exponent rule :

[tex]\frac{1}{-\frac{4}{5} }[/tex]

Move the negative in between the fraction :

[tex]-\frac{1}{\frac{4}{5} }[/tex]

And apply the fraction switcharoo :

[tex]\frac{5}{4}[/tex]

The circumference of the circle with a diameter of 6 cm will be 18.84 cm.

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

Let d be the diameter of the circle. The circumference of the circle will be given as,

C = πd units

The diameter of the circle is 6 cm. Then the circumference is given as,

C = π x 6

C = 3.14 x 6

C = 18.84 cm

The circumference of the circle with a diameter of 6 cm will be 18.84 cm.

More about the circumference of a circle link is given below.

https://brainly.com/question/27177006

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Answer:

76

Step-by-step explanation:

We know that the two angles must add up to 90 which means that

12+x-2=90

solve for x

14+x=90

x= 76

Answer: 8. 14.84 7. 63.18

Step-by-step explanation:

Answer:

0.214 ; 0.064 ; 0.3859 ; 0.9966 ; 0.135

Step-by-step explanation:

Given the distribution :

Poor ___ Acceptable ____ Excellent

0.25 _____ 0.6 _________ 0.15

The data scientist receives three items produced by the manufacturing process.

Find the chance that:

a. all of items are Acceptable

0.6 * 0.6 * 0.6 = 0.6^3 = 0.214

b. none of the items is Acceptable

P(not acceptable) = 1 - p(acceptable) = 1 - 0.6 = 0.4

0.4 * 0.4 * 0.4 = 0.4^3 = 0.064

c. at least one of the items is Excellent

P(atleast one) = 1 - P(none)

P(not excellent) = 1 - 0.15 = 0.85

P(none is excellent) = 0.85^3 = 0.614125

Hence,

P(atleast one is excellent) = 1 - 0.614125 = 0.3859

d. not all of the items are Excellent

P(not all) = 1 - p(All)

P(all excellent) = 0.15^3 = 0.003375

P(not all are excellent) = 1 - 0.003375 = 0.9966

e. there is one item of each class:

P(poor) * p(acceptable) * p(excellent) * (number of classes)!

0.25 * 0.6 * 0.15 * 3!

= 0.135