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morpeh [17]
2 years ago
6

A student received an 82% on an exam. If there were 50 questions on the exam, which ratio would show the number of questions ans

wered correctly to the total number of questions? A. 25:50 B. 59:50 C. 82:50 D. 41:50
Mathematics
2 answers:
solmaris [256]2 years ago
8 0
Hello!

To solve this we have to find what 82% of 50 is

So we do 50 * 0.82 where 0.82 is 82% as a decimal.

This gives us 41

So the answer is D

Hope this helps!
Oksana_A [137]2 years ago
8 0
Total questions = 50
Correct Answer = 82% x 50 = 0.82 x 50 = 41

Ratio of questions answered correctly to total number of questions:
41 : 50 

--------------------------------------------
Answer: 41 : 50 (Answer D)
--------------------------------------------
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Help with maths question please
mars1129 [50]
<h3>✽ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ✽</h3>

➷ Substitute -3 into g(x)

g(-3) = 2(-3) + 4

Solve:

g(x) = -2

Substitute this value into f(x)

f(-2) = 3(-2)^2

Solve:

f(-2) = 12

The answer is B. 12

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

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↬ ʜᴀɴɴᴀʜ ♡

6 0
2 years ago
The line 3y+x=25 is a normal to the curve y=x2-5x+k.find the value of constant k.
ladessa [460]

Answer:

k = 11.

Step-by-step explanation:

y = x^2 - 5x + k

dy/dx = 2x - 5 = the slope of the tangent to the curve

The slope of the normal = -1/(2x - 5)

The line  3y + x =25 is normal to the curve so finding its slope:

3y = 25 - x

y = -1/3 x + 25/3 <------- Slope is -1/3

So at the point of intersection with the curve, if the line is normal to the curve:

-1/3 = -1 / (2x - 5)

2x - 5 = 3  giving x = 4.

Substituting for x in y = x^2 - 5x + k:

When x = 4, y =  (4)^2 - 5*4 + k  

y = 16 - 20 + k

so y = k - 4.

From the equation y = -1/3 x + 25/3,  at x = 4

y = (-1/3)*4 + 25/3 = 21/3 = 7.

So y = k - 4 = 7

k = 7 + 4 = 11.

6 0
2 years ago
A ball is kicked upward with an initial velocity of 68 feet per second. The ball's height, h (in feet), from the ground where it
ivann1987 [24]
Acceleration due to gravity is 32.2 ft/s^2

68=32.2t
t=2.11 seconds

h=68t-32.2/2*t^2
h(2.11)=68*2.11-32.2/2*2.11^2
h=71.8 feet
7 0
2 years ago
Read 2 more answers
The table shows some of the values of a function of the form y=ax^2+bx+c which is the value of c, the constant, the constant for
cupoosta [38]

Answer:

c=8

Step-by-step explanation:

Given: y=ax^2+bx+c

To find: c

Solution:

At x=4,y=48:

48=16a+4b+c    (i)

At x=5,y=73:

73=25a+5b+c    (ii)

At x=6,y=104:

104=36a+6b+c   (iii)

On subtracting (i) and (ii),

25=9a+b   (iv)

On subtracting (i) and (iii),

56=20a+2b\\\\28=10a+b    \,\,\,\,(v)

On subtracting (iv) and (v),

a=3

Put a=3 in (iv)

25=9(3)+b\\25=27+b\\25-27=b\\-2=b

Put a=3,b=-2 in (iii)

104=36(3)+6(-2)+c\\104=108-12+c\\104=96+c\\104-96=c\\8=c

5 0
2 years ago
Each trapezoid in the figure below is congruent to trapezoid ABDC.
blondinia [14]

Answer:

B: 32 cm

Step-by-step explanation:

Add together only the outside lengths

6+6+4+4+3+3+3+3=32 cm

3 0
2 years ago
Read 2 more answers
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