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uysha [10]
3 years ago
9

Select the correct answer from each drop-down menu. A teacher is making a history test composed of the same number of multiple-c

hoice questions as short-answer questions. She estimates it will take students an average of 2 minutes to complete each multiple-choice question and an average of 3.5 minutes to complete each short-answer question. Write an inequality to determine how many questions, n, the teacher can include if the test must take students less than 45 minutes to complete.
Mathematics
1 answer:
GaryK [48]3 years ago
7 0

Answer:

Step-by-step explanation:idbdhides by

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What is this −n+(−4)−(−4n)+6
erastova [34]

Answer:

3n + 2

Step-by-step explanation:

−n+(−4)−(−4n)+6

Open the parentheses

- n - 4 + 4n + 6 \\

Add similar elements

- n + 4n - 4 + 6 \\ 3n + 2 \\

6 0
4 years ago
Read 2 more answers
Write the slope-intercept form of the equation of each line given the slope and y-intercept.
saul85 [17]

Answer:

4b. −6x + y = −4

4a. 7x + 4y = −12

3b. y = ½x + 3

3a. y = −6x + 5

2b. y + 2 = −⅔(x + 3)

2a. y - 3 = ⅘(x - 5)

1b. y = -x + 5

1a. y = 5x - 3

Step-by-step explanation:

4.

Plug the coordinates into the Slope-Intercept Formula first, then convert to Standard Form [Ax + By = C]:

b.

2 = 6[1] + b

6

−4 = b

y = 6x - 4

-6x - 6x

_________

−6x + y = −4 >> Standard Equation

a.

4 = −7⁄4[-4] + b

7

−3 = b

y = −7⁄4x - 3

+7⁄4x +7⁄4x

____________

7⁄4x + y = −3 [We do not want fractions in our Standard Equation, so multiply by the denominator to get rid of it.]

4[7⁄4x + y = −3]

7x + 4y = −12 >> Standard Equation

__________________________________________________________

3.

Plug both coordinates into the Slope-Intercept Formula:

b.

5 = ½[4] + b

2

3 = b

y = ½x + 3 >> EXACT SAME EQUATION

a.

−1 = −6[1] + b

−6

5 = b

y = −6x + 5

* Parallel lines have SIMILAR <em>RATE OF CHANGES</em> [<em>SLOPES</em>].

__________________________________________________________

2.

b. y + 2 = −⅔(x + 3)

a. y - 3 = ⅘(x - 5)

According to the <em>Point-Slope Formula</em>, <em>y - y₁ = m(x - x₁)</em>, all the negative symbols give the OPPOSITE TERMS OF WHAT THEY REALLY ARE, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT SIGNS.

__________________________________________________________

1.

b. y = -x + 5

a. y = 5x - 3

Just write out the Slope-Intercept Formula as it is given to you.

I am joyous to assist you anytime.

3 0
3 years ago
Answer for this equation?
kicyunya [14]

Your answer is 13/45 or approximately 0.28!

6 0
3 years ago
The radius of a sphere is increasing at a rate of 2 mm/s. How fast is the volume increasing when the diameter is 80 mm? Evaluate
Komok [63]
Well, if it is increasing at a fixed rate of 2 mm/s, then the volume would still be increasing at a rate of 2 mm/s when the diameter is 80 mm, if I understand your question correctly.
7 0
4 years ago
50 points take it or leave it<br> 3x+4=22
Lerok [7]

Answer:

<h2>X=6</h2>

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • equation
  • PEMDAS
<h3>let's solve:</h3>
  1. \sf cancel \: 4 \: from \: both \: sides :  \\  \sf   \implies \: 3x + 4 - 4 = 22 - 4 \\  \implies \sf \: 3x = 18
  2. \sf divide \: both \: sides \: by \: 3 :  \\  \sf  \bcancel \frac{3x}{3}  =  \frac{  \cancel{18} \:  \:  ^{6} }{ \cancel{ \: 3}}  \\  \therefore \rm \: x = 6

3 0
3 years ago
Read 2 more answers
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