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DaniilM [7]
3 years ago
9

An algebra test is worth 100 points and has 28 questions. Multiple- CHOICE Worth 2 points each and extended response worth 4 poi

nts each. How many questions of each type are on the test ?
Mathematics
1 answer:
goblinko [34]3 years ago
3 0

Answer:

6 multiple choice questions and 22 open/extended response questions

Step-by-step explanation:

Let x be the number of multiple choice questions

Let y be the number of open response questions

Thus, we have a system of equations:

2x+4y=100

x+y=28

Solve bottom equation for desired variable, then plug in to top one:

x+y=28

x=28-y

2(28-y)+4y=100

56-2y+4y=100

56+2y=100

2y=44

y=22

Plug y back into bottom equation to get x:

x+22=28

x=6

So there are 6 multiple choice questions and 22 open/extended response questions.

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Answer:
-f(n+1) = f(n) x 2
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-i'd rather take 40 days of this money scheme.

example of use:
f(10) = f(9) x 2
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7 0
2 years ago
If five cards are dealt from a standard deck of cards, how many different ways can three diamonds and two non-diamonds be dealt
charle [14.2K]
In a standard deck of cards, there are 13 diamond cards and 39 non diamonds. To choose 3 diamonds from 13 cards would be equivalent to 13*12*11 as there are less cards to choose from each time you remove a card. To choose two non diamonds from the other non diamonds cards would be equivalent to 39*38, taking into account the number of cards you remove each time you pick out one card. Hence the total number of ways is 13x12x11x39x38.
8 0
3 years ago
What is the value of x in the equation 8x – 2y = 48, when y = 4?<br><br> 6<br> 7<br> 14<br> 48
natita [175]

Answer:

x=7

Step-by-step explanation:

7 0
3 years ago
Se pierino ha 4 mele e ne mangia due che cosa gli rimane
Alexus [3.1K]

Answer:

Left apples = 2

Step-by-step explanation:

The given problem is "If pierino has 4 apples and eats two, what is left".

Total no of apples = 4

He eats 2 apples = 2

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Left apples = total no of apples - eaten apples

= 4 - 2

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Hence, there are 2 apples left.

3 0
2 years ago
Integrate the following. ∫<img src="https://tex.z-dn.net/?f=84dx" id="TexFormula1" title="84dx" alt="84dx" align="absmiddle" cla
bogdanovich [222]

Answer:

\displaystyle \int {84} \, dx = 84x + C

General Formulas and Concepts:

<u>Calculus</u>

Integration

  • Integrals
  • Definite/Indefinite Integrals
  • Integration Constant C

Integration Rule [Reverse Power Rule]:                                                               \displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C

Integration Property [Multiplied Constant]:                                                         \displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

\displaystyle \int {84} \, dx

<u>Step 2: Integrate</u>

  1. [Integral] Rewrite [Integration Property - Multiplied Constant]:                 \displaystyle \int {84} \, dx = 84\int {} \, dx
  2. [Integral] Reverse Power Rule:                                                                     \displaystyle \int {84} \, dx = 84x + C

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit:  Integrations

4 0
2 years ago
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