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goldfiish [28.3K]
3 years ago
5

A student answered 86 problems on a test correctly and received a grade of 98%. How many problems were on the test, if all the p

roblems were worth the same number of points? (Round to the nearest whole number).
Mathematics
1 answer:
balu736 [363]3 years ago
7 0

Answer:

88 problems

Step-by-step explanation:

Set this problem up as fractions

86/x = 98/100

Cross multiply

86 × 100 = x × 98

8600 = 98x

Divide both sides by 98

87.75... = x

Round to nearest whole number

87.75 rounds up to 88

88 problems

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3 / m + 4 - 4 / m = 6 (i) Show that this equation can be written as 6m^2 + 25m+16= 0
Evgen [1.6K]

Answer:

Proved Below

Step-by-step explanation:

\sf \frac{3}{m+4} - \frac{4}{m} = 6\\LCM = m(m+4)\\Multiplying \ both \ sides \ by\ m(m+4)\\3m - 4(m+4) = 6m(m+4)\\3m-4m-16 = 6m^2+24m\\-m-16 = 6m^2+24m\\Adding\ m\ to\ both\ sides\\-16 = 6m^2+24m+m\\-16 = 6m^2+25m\\Adding \ 16 \ to \ both \ sides\\0 = 6m^2+25m+16\\OR\\6m^2+25m+16 = 0

Hence, Proved that \sf \frac{3}{m+4} - \frac{4}{m} = 6 is equivalent to \sf 6m^2+25m+16 = 0.

6 0
3 years ago
Read 2 more answers
2. Us i ng the filled table above,
VARVARA [1.3K]

The price elasticity of demand of the pen will be -0.2.

<h3>How to compute the elasticity?</h3>

The demand and supply schedule will be:

Price Qd. Qs

$10. 250. 100

$20. 200. 90

$30. 180. 80

The price elasticity of demand from $1 to $2 will be:

= Percentage change in quantity demanded/percentage change in price

Percentage change in quantity demanded will be:

= (200 - 250)/250 × 100

= -20%

Percentage change in price will be:

= (20 - 10)/10 × 100

= 100%

Therefore, the elasticity of demand will be:

= -20/100

= - 0.2

The value gotten illustrates an inelastic demand.

In order to increase the total revenue, the price can be reduced as it will lead to more sales.

Learn more about PED on:

brainly.com/question/21105870

#SPJ1

<u>Complete question:</u>

Choose any product or service. Create the demand and supply schedule.

Calculate just one PED.

Is the demand elastic or inelastic?

What price change would you recommend to increase TR?

8 0
2 years ago
Solve the following:<br> a) 4x-3 = 2x + 7<br><br> b)<br> 2x+6=7x14
Igoryamba

\huge \qquad \qquad \sf \underline{Answer}

\textbf {Let's Solve :}

<h3>Question 1 :</h3>

  • \textsf{4x - 3 = 2x +7}

  • \textsf{4x -2x = 3 +7}

  • \textsf{2x = 10}

  • \textsf{x=5}

<h3>Question 2 :</h3>

  • \sf{2x + 6 = 7 \times 14}

  • \sf{2x + 6 = 98}

  • \sf{2x  = 98-6}

  • \sf{2x = 92}

  • \sf{x=46}

6 0
1 year ago
Solve the following system. y = x 2 - 9x + 10 and x + y + 5 = 0. The solutions are
shepuryov [24]
X+y+5=0

y=-x-5

If a solution exists y=y so we can say

x^2-9x+10=-x-5  add x+5 to both sides

x^2-8x+15=0 now factor

x^2-3x-5x+15=0

x(x-3)-5(x-3)

(x-5)(x-3) so x=3 and 5, using y=-x-5

y(3)=-8 and y(5)=-10

So the two solutions are:

(3,-8) and (5,-10)

6 0
3 years ago
Read 2 more answers
How many $3.50 burgers can you buy for a million dollars? Give your answers to the nearest whole numbers.
Nookie1986 [14]
\frac{1000000}{3.5}= 285714.29 = 285714Answer here Burgers
4 0
3 years ago
Read 2 more answers
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