A student can type
2
3
of a page in
1
5
hour. How many pages can the student type in an hour?

Answer:

A

Step-by-step explanation:

Use the method of completing the square to express in vertex form.

Given

y = x² - 6x + 11

To complete the square

add/subtract ( half the coefficient of the x- term )² to x² - 6x

y = x² + 2(- 3)x + 9 - 9 + 11 , then

y  = (x - 3)² + 2 → A

Answer:A

Step-by-step explanation:

Answer:

hat=£(9*9)/3*24)/3/8/9

Scarf=£1.5

Step-by-step explanation:

Let's suppose hats is the variable h

And Let's suppose scarves is the variable s

3h+2s=12

5h+4s=21

so, 3h+2s=12 which is also 2s=12-3h

so, in the equare 5h+4s=21 we can replace the 4s with 2(12-3h) Now the equation is this:

5h+24-6h=21

*Simplified*

Now 5h-6h= -1h

-1h+24=21

+1h      +1h

on each side.

now the equation is(remember 1h=h): 24=h+21

I think you can do it now.

Now with the cost of the hats, we can use the first equation: 3h+2s=12

h=3

3*3=9

-9    -9

2s=3

s=1.5

Answer:

See Explanation

Step-by-step explanation:

See attachment for complete question.

From the attachment, we have that:

[tex]A = 71[/tex]

[tex]C = 121[/tex]

[tex]T = 66[/tex]

First, we calculate the total

[tex]Total = A + C + T[/tex]

[tex]Total = 71 + 121 + 66[/tex]

[tex]Total = 258[/tex]

Solving (a): Probability of A

This is calculated using:

[tex]Probability = \frac{A}{Total}[/tex]

[tex]Probability = \frac{71}{258}[/tex]

[tex]Probability = 0.275[/tex]

Solving (b): Probability of C

This is calculated using:

[tex]Probability = \frac{C}{Total}[/tex]

[tex]Probability = \frac{121}{258}[/tex]

[tex]Probability = 0.469[/tex]

Solving (b): Probability of T

This is calculated using:

[tex]Probability = \frac{T}{Total}[/tex]

[tex]Probability = \frac{66}{258}[/tex]

[tex]Probability = 0.256[/tex]

Answer:

Step-by-step explanation:

Answer:

- [tex]\frac{27}{25\\}[/tex]

Step-by-step explanation:

4x−5y=39

for x=3

12 - 5y = 39

-5y = 39 -12

-5y = [tex]\frac{27}{5\\}[/tex]

-y = [tex]\frac{27}{25\\}[/tex]

y = - [tex]\frac{27}{25\\}[/tex] = -1 [tex]\frac{2}{25\\}\\[/tex]

-27/5 or -5 2/5

Step-by-step explanation:

4x-5y=39 while x=3

4(3)-5y=39 add x into bracket

12-5y=39 result of 4*3

12-5y-12=12-39 substrate non variable number to each side

5y = -27 the result from upper substraction

y= -27/5 the result mixed fraction form -5 2/5

Answer:

C (61 2/3)

Step-by-step explanation:

12 1/3=37/3=12.333 square feet paint

1/5=0.2 0.2x60=12 min

12.333x5=61.665 Square pain per hour

Answer:

C.

Step-by-step explanation:

A has 8 lines of symmetry, because they're all the same.

B has 4 lines of symmtery because those are all the same

C has only 2 because the vertical lines are symmetrical to each other, but not to the horizontal lines

D has 10 symmetrical lines because they're all the same

Answer:

0.01049 kilogram/cubic meter

Step-by-step explanation:

I simply used a Density Calculator.

Answer:

f(x) = (x + 4)² - 4

Step-by-step explanation:

Write the equation f(x) = x² + 8x + 12 in vertex form by completing the square:

f(x) = (x² + 8x + (8/2)²) + 12 - (8/2)²

Simplify:

f(x) = (x² + 8x + 16) + 12 - 16

Subtract to find the 'k' value:

f(x) = (x + 4)² - 4. This is the equation in vertex form.

Answer:

y=8x2+8x−12

Step-by-step explanation:

Rewrite in vertex form and use this form to find the vertex (h,k).

(4,4)

[tex]33\frac{1}{3}[/tex]% of 36 is 12.

Percentage is the value per hundredth.This can be numerically expressed as (required percentage)/(100 percent)×total value = required value.We can also convert fractions and decimals into percentage by multiplying 100 with it.

According to the given question we have to determine [tex]33\frac{1}{3}[/tex] % is 12.

Let the required number be x.

∴[tex]33\frac{1}{3}[/tex] % of x is 12,This can be numerically written as

(100/3)/100×x = 12.

(1/3)x = 12.

x = 36.

To cross check what we can do is check what is [tex]33\frac{1}{3}[/tex] % of 36.

So, [tex]33\frac{1}{3}[/tex] is = 100/3.

(100/3)/100×36.

= 36/3.

= 12.

learn more about percentage here :

https://brainly.com/question/24159063

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B) 5/7

^That's the slope :)

Answer: Each group has 9 employees and at night 36 people.

Step-by-step explanation: You would do 72/8=9 so each group has 9 employees and in the night 9x4 will be there so 9x4=36 so 36 people.

Answer:

7.2

Step-by-step explanation:

Answer:

Step-by-step explanation:

4 / 5/9

= 4 x 5/9

= Reciprocal ( means interchange it)

 9/5 x 4

In this case there is no cancelation so you can write it directly

= 36/5 is the answer      In Improper Fraction it is 7 1/5  

Answer:

(y+x)/a=b

or b=(y+x)/a

Step-by-step explanation:

First add both sides by x:

y+x=ab

Now divide a on both sides:

(y+x)/a=b

Hope this helps!

Answer:

8 im pretty sure

Step-by-step explanation:

Answer:

(-6, 0)

(-5, 1)

(-1, -2)

General Formulas and Concepts:

Step-by-step explanation:

Step 1: Define

x + 3y > -8

(-6, 0) ?

(-5, 1) ?

(-16, 2) ?

(-1, -2) ?

(0, -3) ?

Step 2: Check 1

Step 3: Check 2

Step 4: Check 3

Step 5: Check 4

Step 6: Check 5

Answer:

one or seven READ DESCRIPTION

Step-by-step explanation:

y =-3x. -9x-4y=21

-9x+12x=21

3x=21

3*7=21

if you didn't mean to do a double negative then it would be one, but otherwise it's seven

Answer:

one

Step-by-step explanation:

right on edge

9514 1404 393

Answer:

  0.579

Step-by-step explanation:

You can consider what the offered numbers are when they are rounded to hundredths:

  0.574 ⇒ 0.57

  0.579 ⇒ 0.58 . . . matches your requirement

  0.585 ⇒ 0.59

  0.681 ⇒ 0.68

The only number on the list that matches your rounding requirement is 0.579.

Answer:

4% change

Step-by-step explanation:

Answer:

∠ 1 = 136°

Step-by-step explanation:

The diagonals of a rhombus bisect the angles, thus other side of the diagonal to 22° is also 22°. Making the whole angle = 44°

Consecutive angles are supplementary, thus

∠ 1 + 44° = 180° ( subtract 44° from both sides )

∠ 1 = 136°

Answer:

It would be 2x -5=y

Step-by-step explanation:

The equation for the two points is 2x -5=y so the slope intercept would be 2x -5=y

Answer:

x = -4

Step-by-step explanation:

Answer: -4 is correct

Step-by-step explanation:

Answer:

A. None of the answers are correct

Step-by-step explanation:

∠3 is a verticle angle to ∠1

linear pair means they add up to 180

complementary mean they add up to 90

Answer:

None of the answers are correct.

Step-by-step explanation:

1 and 8 are corresponding angles.

They are not vertical because vertical angles look like this ><

They are not a linear pair because linear pairs = 180 and right next to each other.

They are not complementary angles because complementary angles = 90

And 1 and 8 are more that 90.

So it's A

Hope this helps ya! Keep smiling!

Answer:

0.9962

Step-by-step explanation:

The objective of this question is to determine the proportion of average city temperature that is lower than that of Singapore.

Suppose X is a random variable that follows a normal distribution:

Then;

[tex]X \sim N ( \mu = 20.66, \sigma = 2)[/tex]

[tex]P(X< 26) = P \bigg ( Z < \dfrac{26 - 20.66}{2} \bigg)[/tex]

[tex]P(X< 26) = P \bigg ( Z < \dfrac{5.34}{2} \bigg)[/tex]

[tex]P(X< 26) = P \bigg ( Z < 2.67\bigg)[/tex]

From the z tables;

P(X< 26) = 0.9962

Thus, there is 0.9962 proportion of average city temperature are lower than that of Singapore.

Answer:

0.9962

Step-by-step explanation:

A set of average city temperatures in May are normally distributed with a mean of 20.66 degrees and a standard deviation of 2 degrees. The average temperature of Singapore is 26 degrees

What proportion of average city temperatures are lower than that of Singapore?

Solution:

The z score shows the number of standard deviations by which the raw score is above or below the mean. If the raw score is above the mean then the z score is positive but if the raw score is less than the mean then the raw score is negative. The z score is given by:

[tex]z=\frac{x-\mu}{\sigma}\\\\where\ x=raw\ score, \mu=mean,\sigma=standard\ deviation[/tex]

Given that μ = 20.66, σ = $2

For the average temperature of Singapore of 26°, the z score is:

[tex]z=\frac{x-\mu}{\sigma}=\frac{26-20.66}{2} =2.67[/tex]

From the normal distribution table, P(x < 26) = P(z < 2.67) = 0.9962

Judy scored 45 points in the board game.

One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.

Given:

In a board game,

Judy scored 5 points, more than twice the number of points Ann scored.

If Judy scores x points and Ann scores y points,

that means,

x = 2y + 5

x - 2y = 5.   {equation 1}

There was a total of 65 points scored.

x + y = 65  {equation 2}

Subtract the equation 2 to equation 1,

we get,

-3y = -60

y = 20

Then, x = 45.

Therefore, 45 points Judy scored.

To learn more about the system of equation;

brainly.com/question/13729904

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Answer:

32.8

Step-by-step explanation:

The average is calculated as

average = [tex]\frac{sum}{count}[/tex]

let x be the fourth number, then

[tex]\frac{24.2+14.5+50.5+x}{4}[/tex] = 30.5 ( multiply both sides by 4 )

89.2 + x = 122 ( subtract 89.2 from both sides )

x = 32.8

Thus the fourth number is 32.8