Goran has scored 38, 27, 23, 19, and 26 points in his five basketball games so far. How many points does he need to score in his next game so that his average (mean) is 27 points per game?

Answer:  x+(x+1)+(x+2) = 63

This is because x is the smallest number, so x+1 is the next value up, and x+2 is the value after that. The parenthesis are optional. I used them to separate out the three expressions. We can simplify the left side to 3x+3, which means that equation in bold is the same as 3x+3 = 63. So there are few ways we can form the equation.

You have the correct answers for the other boxes:

20+21+22 = 63

Nice work.

20, 21, 22

Step-by-step explanation:

Let x = the smallest integer of the three consecutive ones

(x + 1) = the next consecutive integer after x

(x + 2) = the next consecutive integer after (x + 1)

The sum of these three should add up to 63 so

x + (x + 1) + (x + 2) = 63

This simplifies to

3x + 3 = 63

Solving for x, we get

x = 20

Therefore, the three consecutive integers whose sum add up to 63 are 20, 21 and 22.

Answer:86% es mas

Step-by-step explanation:

86% es lo mismo que 0.86 y eso es mayor que 0.086

Answer:

x=35

Step-by-step explanation:

5(x + 20) = 7x + 30

5x+100= 7x+30

70= 2x

x=35

Answer:

I think the correct answer is Mode for the first blank and Median for the second blank.

I hope this helps!

Answer:

$52

Step-by-step explanation:

Given data

Price of blender= $65

Coupon = 20%

Let us find the amount of the coupon

=20/100*65

=0.2*65

=$13

Hence the amount of the coupon is $13

The total price Nathan pays is

=65-13

=$52

Answer:

Systematic

Step-by-step explanation:

Samples may be classified as:

Convenient: Sample drawn from a conveniently available pool.

Random: Basically, put all the options into a hat and drawn some of them.

Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.

Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.

Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.

In this question:

Every xth element, so systematic.

Answer:

X²=(24)²+(7)²

x²=576+49

x²=625

×=25

Answer:

25

Step-by-step explanation:

Use the Pythagorean Theorem: a²+b²=c²

a=24

b=7

c=x

Plug in the numbers

(24)²+(7)²=x²

Square 24 and 7

576+49=x²

Add 576 and 49

625=x²

Take the square root on both sides

x=√625

Simplify

x=25

Answer:

A. Parallelogram

Step-by-step explanation:

The given points are;

(-10, -4), (-7, -8), (-5, -4), (-2, -8)

Let 'A' represent the point (-10, -4), let 'B' represent the point (-7, -8), let 'C' represent the point (-5, -4), and let 'D' represent the point (-2, -8), we have;

The (horizontal) distance between points A and C = -5 - (-10) = 5

The (horizontal) distance between points B and D = -2 - (-7) = 5

Therefore;

The length of [tex]\overline {AC}[/tex] = The length of [tex]\overline {BD}[/tex]

The length of [tex]\overline {AB}[/tex] = √((-10 - (-7))² + (-4 - (-8))²)) = 5

The length of [tex]\overline {CD}[/tex] = √((-5 - (-2))² + (-4 - (-8))²)) = 5

∴ The length of [tex]\overline {AB}[/tex] = The length of [tex]\overline {CD}[/tex]

[tex]\overline {AC}[/tex] is parallel to the horizontal axis

[tex]\overline {BD}[/tex] is parallel to the horizontal axis

∴ [tex]\overline {AC}[/tex] ║ [tex]\overline {BD}[/tex]

Given that [tex]\overline {AB}[/tex] = [tex]\overline {CD}[/tex], then [tex]\overline {AB}[/tex] ║ [tex]\overline {CD}[/tex]

Therefore, the quadrilateral ABCD is a parallelogram

(The angle ∠ABD = 180 - arctan (4/3) ≈ 126.9 > 90, therefore, the parallelogram ABCD is not a rectangle.)

Answer: 135 nickels

Step-by-step explanation:

135 Nickels is $6.75 and 165 dimes is $16.50

That's 300 coins. $6.75 + $16.50 = $23.25

[tex] \huge \: Answer࿐[/tex]

The given figure is a cylinder.

[tex] \large \boxed{\mathrm{volume = \pi {r}^{2}h }}[/tex]

_____________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

Answer:

Total Cost in a day is . Profit function is . And the revenue function is . In a day, bookstore must sell at least 15 books, because of 6n-90=0, in order to make profit.

Step-by-step explanation:

-90

The break-even point for this bookstore is 15, i.e. correct answer is,

C. n = 15.

Here, we have,

given that,

A bookstore costs $90 a day to keep open,

and it spends $12 for each book that it sells.

If each book sells for $18,

now, we know that,

Breakeven quantity = fixed cost / price – variable cost per unit

now, we have,

$90 / (18 - 12)

=$90 / $6

= 15

so, n = 15

Hence, The break-even point for this bookstore is 15, i.e. correct answer is, C. n = 15.

To learn more about break even, please check: brainly.com/question/17960037

#SPJ7

Answer:

B

Step-by-step explanation:

hope this helps with the work

Answer:

B

Step-by-step explanation:

That is 100% right so good luck

Answer:

she needs to sell 55 posters

Step-by-step explanation:

660/12

Answer:

75.96

Step-by-step explanation:

Answer:

4 hot dog packages, and 3 packages of buns.

Step-by-step explanation:

This is a great way to make the customer buy more lol.

Hope this helps :)

Answer:

C is the answer I think

Step-by-step explanation:

Hope this helps.

Answer:

39

Step-by-step explanation:

By linear pair angles and exterior angle theorems:

[tex]x \degree + (180 - 98) \degree = 180 \degree - (31 + 28) \degree \\ \\ x \degree + 82 \degree = 180 \degree -59\degree \\ \\ x \degree + 82 \degree = 121\degree \\ \\ x \degree = 121\degree - 82 \degree\\ \\ x \degree = 39 \degree\\ \\ x = 39[/tex]

Answer:

1. 167.55

2. 10.77

Step-by-step explanation:

For #1 use the formula for volume of cone: [tex]V=\pi r^2\frac{h}{3}[/tex], and for #2 use the Pythagorean Theorem: [tex]a^2+b^2=c^2[/tex]

Answer:

Graph 2

XXX Eric XXX

Answer:

-4

Step-by-step explanation:

subtract then divide both sides

Answer:

[tex]x < -4[/tex]

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

Addition: -1 + -3 = -4

Subtraction: (-4) - 5 = -10

Step-by-step explanation:

Since adding a positive makes a negative number stay negative, it equals -4.

Then by subtracting a negative with a positive (5), the number stays negative once again, which then equals -10.

Answer:

Last one

Step-by-step explanation:

Answer:

its 94 on deltamath just did it

Step-by-step explanation:

Let t=0 represent the year 1997

Starting Value: 690

Write function:

y=690(b)^t

Now find the b-value:

y=390 when t=4 (2001−1997)

390=690(b)^4

390/690=690(b)^4/690

0.56521739=b^4

(0.56521739)^1/4=(b^4)^1/4

0.86706944=b

Write Complete Function:

y=690(0.86706944)^t

Find value in 2011 (use t=14):

y=690(0.86706944)^14

y=93.67062063

y≈94

Answer:

[tex]y =\frac{4}{5}x-6[/tex]

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: [tex]y =mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Determine the slope (m)

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (5,-2) and (15, 6)

[tex]=\frac{6-(-2)}{15-5}\\=\frac{6+2}{15-5}\\=\frac{8}{10}\\=\frac{4}{5}[/tex]

Therefore, the slope of the line is [tex]\frac{4}{5}[/tex]. Plug this into [tex]y =mx+b[/tex]:

[tex]y =\frac{4}{5}x+b[/tex]

2) Determine the y-intercept (b)

[tex]y =\frac{4}{5}x+b[/tex]

Plug in one of the given points and solve for b

[tex]6=\frac{4}{5}(15)+b\\6=12+b[/tex]

Subtract 12 from both sides of the equation to isolate b

[tex]6-12=12+b-12\\-6=b[/tex]

Therefore, the y-intercept of the line is -6. Plug this back into [tex]y =\frac{4}{5}x+b[/tex]:

[tex]y =\frac{4}{5}x-6[/tex]

I hope this helps!

Answer:

A) experiment B) Survey C) observational study

Step-by-step explanation:

A could either be experiment or observation but you are experimenting with different types of music and plants so experiment makes more sense to me.

B is a survey because you are asking a group about a topic and recording the answer which is essentially a survey.

C is an observation because you are checking to see improvement, no improvement, or stays the same ie: meaning you have to observe what happens before and after

Answer:

9/10

Step-by-step explanation:

40+50=90

90/100

9/10

can i have brainliest plz