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3 years ago

PLEASE HELPPPPPPPPPPPPPP THANK YOUUH

Mathematics

1 answer:

almond37 [142]3 years ago

8 0

For A B and C, you just plug in the given number

A
$2(15) + 5 = 35$
B
$4(20) + 2 = 82$
C
$6(10) + 5 = 65$
And for D, you set the equation to 26 and solve for n
$3x + 5 = 26 \\ 3x = 21 \\ x = 7$
I had to use x instead of n, but for D n=7. :)

You might be interested in

Which is equal to (2x − 3y + 5z) − (−4x − y + 8z)?

Fittoniya [83]

(2x - 3y + 5z) - (-4x - y + 8z)
= 2x - 3y + 5z + 4x + y - 8z
= 6x - 2y - 3z

In short, Your Answer would be Option D

Hope this helps!

8 0

2 years ago

Alice and her friend Emma leave on different flights from the same airport. Alice's flight flies 100 miles due south, then turns

DaniilM [7]

9514 1404 393

Answer:

Emma's flight is farther from the airport

Step-by-step explanation:

Even without doing any detailed calculation, you can see on a graph that the larger turn Alice's flight makes keeps it closer to the airport.

Emma's flight is farther from the airport.

The distance can be calculated using the Law of Cosines. The angle of interest is the supplement of the turn angle. Since the leg distances are the same in each case, the only variable affecting the distance from the airport is the angle measure. Again, the larger the turn, the shorter the distance from the airport. If T is the turn angle, the distance is ...

d² = 100² +50² -2·100·50·cos(180° -T)

d² = 12500 +10000·cos(T) . . . . . . . using cos(180°-T) = -cos(T)

d = 100√(1.25+cos(T))

For Alice's 70° turn, the distance is ...

d = 100√(1.25+0.342) ≈ 126.18 mi

For Emma's 50° turn, the distance is ...

d = 100√(1.25 +0.643) ≈ 137.58 mi

Emma's flight is farther from the airport.

_____

The law of cosines formula is ...

c² = a² +b² -2ab·cos(C)

where triangle sides are lengths a, b, c and angle C is opposite side c.

3 0

2 years ago

Cody saves all his nickles. Today he is getting them out of his piggy bank and wrapping them to take to the bank. He finds he ha

goldenfox [79]

Simple explanation:
Divide 360 by 40
360/40 = 9
Cody needs 9 wrappers.

3rd grader explanation:
Explain that Cody wants to divide 360 into __ groups of 40.
Use an illustration of separating things into equal groups (you can simply use separating 6 objects into equal groups of 2).
Explain that subtraction, multiplication, or addition will not help.
Tell him/her to use division.
Although 360 and 40 are large numbers, explain that the 0's can be removed into 4 and 36.
36 / 4 = 9
Since the answer is 9, Cody needs 9 wrappers.

Have an awesome day! :)

4 0

3 years ago

Read 2 more answers

The amount of coffee that people drink per day is normally distributed with a mean of 17 ounces and a standard deviation of 4 ou

Setler [38]

Answer:

Step-by-step explanation:

(a)

The distribution of X is Normal Distribution with mean $= \mu =17$ and Variance $= \sigma^{2} = 16 \ i.e., X \sim N (17, 16),$

(b)

The distribution of $\bar{x}$ is Normal Distribution with mean $= \mu =17$ and Variance = $\sigma^{2}/n = 16/15= 1.0667$ .i.e., $\bar{x}\sim N(17,1.0667)$

To find P(15.5 < X < 18):

Case 1: For X from 15.5 to mid value:

Z = (15.5 - 17)/4 = - 0.375

Table of Area Under Standard Normal Curve gives area = 0.1480

Case 2: For X from mid value to 18:

Z = (18 - 17)/4 = 0.25

Table of Area Under Standard Normal Curve gives area = 0.0987

So,

P(15.5 < X< 18) = 0.1480 +0.0987 = 0.2467

So,

Answer is:

0.2467

(d)

$SE = \sigma/\sqrt{n}\\\\= 4/\sqrt{15}$

= 1.0328

To find $P(15.5 < \bar{x}< 18):$

Case 1: For $\bar{x}$ from 15.5 to mid value:

Z = (15.5 - 17)/1.0328 = - 1.4524

Table of Area Under Standard Normal Curve gives area = 0.4265

Case 2: For X from mid value to 18:

Z = (18 - 17)/1.0328 = 0.9682

Table of Area Under Standard Normal Curve gives area = 0.3340

So,

$P(15.5 < \bar{x}< 18) = 0.4265 + 0.3340 = 0.7605$

So,

Answer is:

0.7605

(e)

Correct option:

because Population SD is provided.

(f)

(i)

Q1 is given by:

$- 0.6745 = (\bar{x} - 17)/1.0328$

So,

X = 17 - (0.6745 * 1.0328) = 17 - 0.6966 = 16.3034

So,

Q1 = 16.3034

(ii)

Q3 is given by:

$0.6745 = (\bar{x} - 17)/1.0328$

So,

X = 17 + (0.6745 * 1.0328) = 17 + 0.6966 = 17.6966

So,

Q3= 17.6966

(iii)

IQR = Q3 - Q1 = 17.6966 - 16.3034 = 1.3932

Answers are:

Q1 = 16.3034 ounces

Q3 = 17.6966 Ounces

IQR = 1.3932 Ounces

8 0

2 years ago

Find the slope of the line.

Anna35 [415]

-1

Step-by-step explanation:

because looking at the graph it is negative, and it goes down one over one

7 0

2 years ago