The graph shows the favorite colors chosen by some middle school students.


Which statement is supported by the information in the graph?

A; Fewer than 30% of the students chose red, yellow, or orange as their favorite color.

B; More than 1/10 of the students chose pink as their favorite color.

C; Exactly 18% of the students chose blue as their favorite color.

D; Exactly 2/5 of the students chose green, black, or purple as their favorite color.

Answer:

By long division (x³ + 7·x² + 12·x + 6) ÷ (x + 1) gives the expression;

[tex]x^2 + 5 \cdot x + 7 - \dfrac{1}{(x + 1)}[/tex]

Step-by-step explanation:

The polynomial that is to be divided by long division is x³ + 7·x² + 12·x + 6

The polynomial that divides the given polynomial is x + 1

Therefore, we have;

[tex]\ \ \ \ \ \ \ \ \ \ \ \ x^2 + 5\cdot x + 7\\ (x + 1) \sqrt{x^3 + 7\cdot x^2 +12\cdot x + 6} \\\ {} \ {} \ {} \ \ {} \ {} \ {} \ {} \ {} \ {} \ {} \ \ x^3 + 2 \cdot x^2 \\\ \ \ \ {} \ \ {} \ {} \ {} \ \ {} \ {} \ \ \ {} \ {} \ {} \ \ {} \ {} \ {} \ \ 5 \cdot x^2 + 12\cdot x + 6\\ \ {} \ {} \ {} \ {} \ {} \ {} \ \ {} \ {} 5 \cdot x^2 + 5\cdot x\\\ 7\cdot x+6\\7\cdot x+7\\-1[/tex]

(x³ + 7·x² + 12·x + 6) ÷ (x + 1) = x² + 5·x + 7 Remainder -1

Expressing the result in the form [tex]q(x) + \dfrac{r(x)}{b(x)}[/tex], we have;

[tex](x^3 + 7\cdot x^2 + 12 \cdot x + 6)\div (x + 1) = x^2 + 5 \cdot x + 7 - \dfrac{1}{(x + 1)}[/tex]

Answer: 2800

Step-by-step explanation:

From the question, we are informed that during the winter season, the number of visitors that came to a theme park decreased by 700 to 2,100.

Therefore, the theme park's population at the beginning of the winter season will be gotten by adding 700 and 2100. This will be:

= 700 + 2100

= 2800

Answer:

0.009854, 30%, 1.98, √9

Step-by-step explanation:

Convert to decimals:

0.009854, 1.98, 3.0, 0.3

0.009854, 0.3, 1.98, 3.0

Answer:

D

Step-by-step explanation:

the numbers on answer D are in order on the number line from LEAST to GREATEST

Answer:

6. P= 22ft

   A=30ft²

7. P= 37 ft

  A= 65 ft²

8. P= 36 ft

   A=81 ft²

Step-by-step explanation:

Answer:

6.4 miles per hour

Step-by-step explanation:

19.2/3

In mixed number form it looks like this:

Maria is wrong because they have completed 1/2.

Step-by-step explanation:

At the top of the Ferris wheel,the ride is 1/2 done. All that is left is to go down,which is the other half. Maria is wrong in saying they are 1/4 done,that is a quarter,not half.

Answer is 16 because 16/4 = 4 + -12 = -8

Answer:

m=16

Step-by-step explanation:

-8=m/4+(-12)

4=m/4

16=m

so first, you add 12 to the other side to cancel out the -12. 12-8=4. so now you have 4=m/4. to isolate the m, you have to multiply by 4 on both sides, which gives you 16=m or m=16.

i hope this helps :)

Answer:

8

Step-by-step explanation:

i hope this helps :)

Answer:

Step-by-step explanation:

   The equation y = mx + b is called the slope-intercept form because both the slope and y-intercept are represented. The variable m, stands for slope, and the variable b, stands for slope.

Answer:

41.6 inches

Step-by-step explanation:

edge 2021

Answer:

she raked 11 bags of leaves

Step-by-step explanation:

24.75 divided by 2.25= 11

Answer:

I think its D also

Step-by-step explanation:

Answer: c

Step-by-step explanation:

There's more of a chance of selecting a yellow bc there are more yellow than any other color in the jar

Answer:

62 inches

Step-by-step explanation:

12 * 5 = 60

60 + 2 = 62

Answer:

62 inches

Step-by-step explanation:

12 * 5 = 60

60 + 2 = 62

hear you go!

Your welcome ◑﹏◐  

Answer:

The common ratio is 1/2 or 0.5 . If you multiply the current term by the the common ratio the the output will be the next term.

8⋅1/2=4

4⋅1/2=2

2⋅1/2=1 etc ...

because the absolute value of r is less than 1 we can use the following formula.

a/1−r where a is the first term and r is the common ratio

In our problem

a=8 and r=0.5

Substitute

8/1−0.5=8/0.5=16

The sum of this infinite geometric series is 16.

Also, another formula you can use that is guaranteed to work every time, no matter what, is:

Sn=a(r^n−1/r−1)

All the variables work the same way as above, and "n" is the number of terms in the series. So, say you wanted to find the sum of the first 10 terms and were to substitute everything in:

S10=8(0.5^10−1/0.5−1)

S10=15.984375

Therefore the sum if the series is 15.98!

Step-by-step explanation:

Answer:

52,249.6

Step-by-step explanation:

Answer:

w

Step-by-step explanation:

Answer:

D- Neither graph is a funvtion.

Step-by-step explanation:

A function can only have one input to one output.  These have more than one output for each input.  You can also do the vertical line test, if it touches more than two points at the same time while going horizontally across, it is not a function.

Answer:

x = 13

y = 9

Step-by-step explanation:

Answer:

adding 36

Step-by-step explanation:

should be:

y-27=x²-12x

y-27=x²-12x

+12 +12

y-15=x²+x

y-15=x³

+15 +15

y=15x³

Answer:

C, 4.82

Step-by-step explanation:

add the given lengths and subtract it from the total lengths to get 4.82

Answer:

C

Step-by-step explanation:

Given:

The percent value is 0.034%.

To find:

The decimal value of the given percent.

Solution:

We know that,

[tex]x\%=\dfrac{x}{100}[/tex]

Using the above rule, 0.034% can be written as

[tex]0.034\%=\dfrac{0.034}{100}[/tex]

[tex]0.034\%=0.00034[/tex]

Therefore, the decimal form of given percent value 0.034% is 0.00034.

Answer:

KN ≈ 20.7 cm

Step-by-step explanation:

Using Pythagoras' identity in right triangle KLM to find KM

LM² = KL² + KM²

28² = 16² + KM²

784 = 256 + KM² ( subtract 256 from both sides )

528 = KM² ( take the square root of both sides )

[tex]\sqrt{528}[/tex] = KM

----------------------------------------

Using the sine ratio in right triangle KMN

sin64° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{KN}{KM}[/tex] = [tex]\frac{KN}{\sqrt{528} }[/tex] ( multiply both sides by [tex]\sqrt{528}[/tex]

[tex]\sqrt{528}[/tex] × sin64° = KN , that is

KN ≈ 20.7 cm ( to 1 dec. place )

Answer:

5/6

Step-by-step explanation:

Answer:

Either A or C, it's either one. I hoped I helped