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Snezhnost [94]
2 years ago
9

Your teacher announced a 50-point math quiz for tomorrow. The quiz will have 15 questions with word problems worth 4 points each

and some open response questions worth 3 points each. Find the number of each type of question. You may use any of the methods to solve. Check your answer.
Mathematics
1 answer:
koban [17]2 years ago
3 0

Answer:

5  word problems(4points each)      &      10 open (3 points each)

Step-by-step explanation:

O= open response

W= word problems

  W+O =15

4W + 3O = 50

multiply the first by -3 to eliminate O

-3W -3O = -45

4W  + 3O = 50

  AD BOTH

W = 5    ( 5 questions word problems)

O= 10   ( 10 questions open response)

  5x4 = 20

10x3 = 30

      20 + 30 = 50 points

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4.) Select ALL equivalent expressions to 5x – 5.5. a) 5x -55 c) 5(x - 1.1) b) 2x - 3 + 3x - 2.5 ) 5.5(x - 1)​
lara [203]

Answer:

1. (-125 a - 5.75) x + b c (605 x - 550 x^2) + 10.75

2. -125 a x + x (-550 b c x + 605 b c - 5.75) + 10.75

3. 0.25 (-500 a x - 220 b c (10 x - 11) x - 23 x + 43)

Step-by-step explanation:

4 0
3 years ago
A) what is average rate of change of f(x) over the interval from x=5 to x=9? (table shows values of f(x). graph shows function o
SVETLANKA909090 [29]

Answer:

See below for answers and explanations

Step-by-step explanation:

<u>Part A</u>

The average rate of change of a function over the interval [a,b] is equal to \frac{f(b)-f(a)}{b-a}, hence:

\frac{f(b)-f(a)}{b-a}\\\\\frac{f(9)-f(5)}{9-5}\\\\\frac{14-(-4)}{9-5}\\ \\\frac{14+4}{4}\\ \\\frac{18}{4}\\ \\\frac{9}{2}

Therefore, the average rate of change of f(x) over the interval [5,9] is \frac{9}{2}.

<u>Part B</u>

Do the same thing as in Part A:

\frac{f(b)-f(a)}{b-a}\\ \\\frac{f(1)-f(0.25)}{1-0.25}\\ \\\frac{2-5}{0.75}\\ \\\frac{-3}{0.75}\\ \\-4

Therefore, the average rate of change of g(x) over the interval [0.25,1] is -4.

<u>Part C</u>

To interpret our answer from Part B in terms of the real world it represents, we say that between 0.25 seconds and 1 second, the ball falls at a rate of 4 feet per second (since our average rate of change is negative).

5 0
2 years ago
If you horizontally compress exponential function f(x)=2^x by a factor by a of 5, which of these is the equation of the new func
Zolol [24]
The anwser is -2x my dude 

8 0
4 years ago
Read 2 more answers
Find the unit price of 8 mugs for $38.32<br> A.) $4.99<br> B.) $4.97<br> C.) $4.79<br> D.) $4.77
Anastasy [175]

Answer:

C. 4.79

Step-by-step explanation:

I divided 38.32 by 8 to find the individual prices

8 0
3 years ago
Read 2 more answers
I need to know if it’s A B C OR D
Liula [17]

SOLUTION

Consider the property, opposite angle of a cyclic quadrilateral are supplementary

hence

\angle NMP+\angle NOP=180^0

Recall that

\begin{gathered} \angle NMP=\angle M=(8x-24)^0 \\ \text{and } \\ \angle NOP=\angle O=(4x)^0 \end{gathered}

Hnece, we have that

\begin{gathered} \angle M+\angle O=180^0(opposite\text{ angles of a cyclic quadrilateral)} \\ (8x-24)^0+4x^0=180^0 \end{gathered}

Then

\begin{gathered} 8x-24+4x=180 \\ 8x+4x-24=180 \\ 12x-24=180 \\ \text{Add 24 t o both sides } \\ 12x-24+24=180+24 \\ 12x=204 \\ \text{divide both sides by 12} \\ \frac{12x}{12}=\frac{204}{12} \\ \text{Then} \\ x=17 \end{gathered}

Hence

x=17

Since

\begin{gathered} \angle NOP=(4x)^0 \\ \text{substitute the value of x, we have } \\ \angle NOP=4\times17=68^0 \\ \text{Hence } \\ \angle NOP=68^0 \end{gathered}

Therefore

The measure of angle NOP is 68⁰

Answer; 68⁰ (The fourth Option )

5 0
1 year ago
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