O SYSTEMS OF EQUATIONS AND MATRICES
Solving a word problem using a 3x3 system of linear equations....
Over the last 3 evenings, Latoya received a total of 96 phone calls at the call center. The second evening, she received 2 times as many calls as the third
evening. The third evening, she received 8 fewer calls than the first evening. How many phone calls did she receive each evening?

Answer:

a) 376.66

b) Option 2: No, the result from part (a) could not be the actual number of adults who said that rising gas prices are "quite annoying" because a count of people must result in a whole.

c) 377

d) 40.77%

Step-by-step explanation:

a) 37% of 1018 is;

37/100 × 1018 = 376.66

b) Thus, the result in a above is not a whole number. Thus;

No, the result from part (a) could not be the actual number of adults who said that rising gas prices are "quite annoying" because a count of people must result in a whole.

c) from a above a, we got a value of 376.66.

Now the actual number would be preferably an integer. Thus, actual number is approximately 377.

d) percentage of respondents said that cellular phones are not at all harmful = 415/1018 × 100% = 40.77%

Answer:

[tex] slope (m) = 6 [/tex]

Step-by-step explanation:

To get the slope of the line of the given table of values, all we need is just 2 coordinate pairs from the table. We can pick any two.

Let's use, (-1, 0), and (0, 6).

Apply the formula, [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex], where,

[tex] (-1, 0) = (x_1, y_1) [/tex]

[tex] (0, 6) = (x_2, y_2) [/tex]

Thus:

[tex] m = \frac{6 - 0}{0 - (-1)} [/tex]

[tex] m = \frac{6}{1} [/tex]

[tex] slope (m) = 6 [/tex]

Answer and Step-by-step explanation:

Please find attached

Answer:

B. P(B/A)=P(B)

Answer:

28

Step-by-step explanation:

9+19=28

Answer:

$2.88

Step-by-step explanation:

0.48×6=2.88

os the right answer

Answer:

R1 subtraction  R2 distrivution S4 9x=61 R5 division

Step-by-step explanation:

Answer:

i think i am going to pick a random letter because i cant see it ts blocked so i guess c

Step-by-step explanation:

Answer:

True.

Step-by-step explanation:

[tex]a+4=6[/tex]

[tex]a=2[/tex]

To see if the equation would be correct given the value of [tex]a[/tex], we have to substitute:

[tex]2+4=6[/tex]

[tex]6=6[/tex]

Since both sides of the equation are equal, the statement is true.

Answer:

5.40

Step-by-step explanation:

i think that's it because

if u take 150 - the one cake it will equal = 135

then u divide 135 by the 25 pies it will equal 5.40

150-15= 135

135÷ 25= 5.60

Answer:

since 7 times 3 is 21

Step-by-step explanation:

it would be 7+7+7 becuase you do seven times 3

hope that helped!

Step-by-step explanation:

LHS = (tan β + Sec β)(1 - sin β)

= ((sin β / cos β) + (1/cos β))(1-sin β)

= ((1+ sin β)*(1- sin β))/cos β

= (1 - sin^2 β) / cos β

= cos^2 β / cos β

= cos β

= RHS

Hence proved

Answer:

Alternate interior angles

Step-by-step explanation:

Angles 4 and 5 are alternate interior angles

Answer:

Total Probability = 1 / 221

Step-by-step explanation:

Total number of cards = 52

Total number of kings = 4

Probability (first card is a king) = 4 / 52

Probability (Second card is a king) without replacement = [4-1] / [52-1]

Probability (Second card is a king) without replacement = 3 / 51

Total Probability = [Probability (first card is a king)][Probability (Second card is a king) without replacement]

Total Probability = [4/52][3/51]

Total Probability = 12 / 2652

Total Probability = 1 / 221

Answer:

whoaaaaaaa

Step-by-step explanation:

Answer:

29900 ft

Step-by-step explanation:

just plug in 18 for x

A function assigns the values. The predicted height of the airplane after 18 minutes of takeoff is 29,864 ft.

A function assigns the value of each element of one set to the other specific element of another set.

The measure of the height of an airplane at a certain time is given by the function,

[tex]y = \dfrac{29,864 }{1+9.381 e^{-0.9948x}}[/tex]

where x is the time in minutes and y is the height of the airplane.

Now, the height of the plane after 18 minutes post takeoff can be calculated by substituting the value of time, x as 18 in the function.

[tex]y = \dfrac{29,864 }{1+9.381 e^{-0.9948x}}\\\\y = \dfrac{29,864 }{1+9.381 e^{-0.9948 \times 18}}\\\\y = \dfrac{29,864 }{1+9.381 e^{-7.9064}}[/tex]

[tex]y = \dfrac{29,864 }{1+9.381 e^{-7.9064}}\\\\y = \dfrac{29,864 }{1+(9.381 \times 1.6724 \times 10^8)}\\\\y = \dfrac{29,864 }{1+(1.5689 \times 10^8)}\\\\y = \dfrac{29,864 }{1.000000157}[/tex]

y = 29864 ft

Hence, the predicted height of the airplane after 18 minutes of takeoff is 29,864 ft.

Learn more about Function here:

https://brainly.com/question/5245372

#SPJ2

Answer:

integer, rational number

Step-by-step explanation:

-57 is an integer because integers include negative and positive numbers that are not decimals or fractions. it is also a rational number because it can be converted into a fraction. these are subsets of the real numbers category.

Answer:

Step-by-step explanation:

Where’s the number line

[tex]7 + \dfrac{2}{3x} = - 1 \\ \implies \: \dfrac{2}{3x} = - 1 - 7 \\ \implies \: \dfrac{2}{3x} = - 8 \\ \implies \: 2 = - 24x \\ \implies \: x = - \dfrac{2}{24} \\ \implies \: x = - \dfrac{1}{12} [/tex]

Answer:

x = -12

Step-by-step explanation:

multiply all terms by 3 to get whole numbers

->21+2x=-3

subtract 21 both sides to isolate the variable

->2x=-24

divide by 2 both sides to simplify

->x=-12

Answer:

x - y = 4

Step-by-step explanation:

Hope this helped! :)

HAHA it was due yesterday! Hopefully you can still use my help *muffles cry laugh* answer is 2 tell me if im wrong bc im not 100% sure on this one. plz mark me brainliest, give me 5 stars, and thank meeee

Answer:

9

Step-by-step explanation:

add 3 and 6

It's a coffin because the person who makes it is alive so they don't need to use it, the person who buys it is also alive and buying it for someone else.

The person who is using it has passed away so they can't see or feel anything.

:( This is one morbid riddle.

goyeggoyeceo y sit stuu try steet8eitccetiectoce58

Step-by-step explanation:

yeti et87stps tu et8 e85et 8

u0r as8tcc85e7ce5ctce5e5c8cr6

I ts its 7w496 w4y rs9rr s77

Answer:

4/25

Step-by-step explanation:

(-2/5) ^2

This means

( -2/5) * (-2/5)

4/25

Answer: 4/25

Step-by-step explanation:

(-2/5)(-2/5)

4/25

The negatives make a positive.

Hope this helps!

Answer:

Three plus six: 3 * 6

When we multiply x*y, we are summing x times the same number: y ory times the same number.(x)

In our case, we are summing three times six, so: 6 + 6 + 6 = 18

We could also say we are summing six times three: 3 + 3 + 3 + 3 + 3 + 3 = 18

Nowwe can say that 6 * 3 = 18

Answer:

1/3

Step-by-step explanation:

i hope this helps you! :)

Answer:

1/3

Step-by-step explanation:

When you are subtracting frations with the same denominator, you would only subtract the numerator and keep the denominator the same.

Answer:

............................

Step-by-step explanation:

Answer:

it will be 199.00 dollors you have to spend

Step-by-step explanation:

899.00-70