MATHEMATICS COLLEGE

MP of an article is $1400. Find the SP of that article in cents if the shopkeeper adds 13% VAT after allowing 45% discount. (100 cents =$1)

Answers

Answer 1

Answer:

Answer:

87,010 cents is the SP.

Step-by-step explanation:

MP = $1400

VAT = 13%

Discount = 45%

so,

discount amount = 45% of MP

= 45% of $1400

= 45/100 * $1400

= 9/20 * $1400

= 9* $70

= $630

so,

MP - discount amount

= $1400 - $630

= $770(SP)

so,

VAT amount = 13% of SP

= 13% of $770

= 13/100 * $770

= $100.1

so,

SP + VAT

= $770 + $100.1

= $870.1

so,

$1 = 100 cents

$870.1 = 100*870.1

= 87,010 cents

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Can so one help me solve this, pleaseMatch the given phrase with the equivalent algebraic expression.- A. B. C. D. The product of -12 and a number- A. B. C. D. The quotient of -12 and a number- A. B. C. D. Twice the sum of -12 and a number- A. B. C. D. The sum of -12 and twice a numberA. 2 open parentheses negative 12 plus x close parenthesesB. fraction numerator negative 12 over denominator x end fractionC. negative 12 plus 2 xD. negative 12 x
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A physical education class has 21 boys and 9 girls. Each day, the teacher randomly selects a team captain. Assume that no student is absent. What is the probability that the team captain is a girl two days in a row?The probability of choosing a captain that is a girl two days in a row is
9
%.

Answers

The probability of choosing a captain that is a girl two days in a row is 9%

How to determine the probability?

The given parameters are:

Boys = 21

Girls = 9

The total number of students is

Total = 21 + 9

Total = 30

This means that the probability of selecting a girl is:

P(Girl) = 9/30

For two days, the required probability is

P = 9/30 * 9/30

Evaluate

P = 9%

Hence, the probability of choosing a captain that is a girl two days in a row is 9%

Answers

Step-by-step explanation:

given a slope and a point that the line passes through you have 2 options

Option 1: Solve for the equation of the line so you can just use that to graph the line. In this scenario it would be y=(-5/2)x - (20/13)

Option 2: plot the given point and, based on the slope, plot the next point that it crosses. In this case the next point would be (5, 7). Then you can just draw a line using these 2 points.

Compare to the graph f(x)=x^2 the graph of g(x)=(x-2)+3 is the result of translating f(x) 1.2 units up 3 units to the right
2. 2 units down and 3 units up
3. 2 units right and 3 units up
4 2 units left and 3 units right

Answers

Answer:

i believe it is 4 but i'm not so sure

Step-by-step explanation:

Final answer:

The graph of g(x)=(x-2)^2+3 compared to the graph of f(x)=x^2 is translated 2 units to the right and 3 units upwards.

Explanation:

To understand the transformation of graphs in mathematical terms, consider the initial function f(x) = x^2. The transition to the new function g(x)=(x-2)^2+3 is a result of a shift or translation of the graph. This transformation behaves as per the following rule: g(x) = f(x-h)+k where 'h' units is the horizontal displacement and 'k' units is the vertical displacement.

In the function g(x), x shifts two units to the right (as indicated by (x-2)) and three units upward (as indicated by +3).

So, the correct answer is 2 units right and 3 units up.

Learn more about graph transformation here:

brainly.com/question/19040905

#SPJ3

The base of an isosceles triangle is 24 inches and one of the base angles is 53o. Find to the nearest inch the altitude drawn to the base. Hint: Draw the right triangle as it is described on the problem. 1. Describe your reasoning and the steps you will take into finding the answer to the problem. 2. Find the answer to the problem.

Answers

Answer:

16 Inches

Step-by-step explanation:

An Isosceles Triangle has two equal sides. A line drawn from the altitude to the base (where the base is the third unequal side) divides the base into two equal parts.

Therefore, the right triangle formed by this problem is a right triangle with a base of 12 inches. We are required to calculate the height, h of the right triangle.

(b)Using Trigonometric ratios

$\tan 53^\circ =(h)/(12)\n $Cross multiply\nh=12 * \tan 53^\circ\nh=15.9 \approx 16$ Inches$

Can anyone help with 9? Anything helps

Answers

∠ABF and ∠CBE are vertical angles

3x + 25 + 7x - 19 = 10x - 6

Set them equal to each other

∠ABF = ∠CBE

6x + 26 = 10x - 6

Isolate the x. Subtract 6x from both sides and add 6 to both sides

6x (-6x) + 26 (+6) = 10x (-6x) - 6 (+6)

26 + 6 = 10x - 6x

Simplify

32 = 4x

Divide 4 from both sides

32/4 = 4x/4

x = 32/4

x = 8

m∠ABF = 6x + 26

Plug in 8 for x

6(8) + 26 = m∠ABF

48 + 26 = m∠ABF

m∠ABF = 74°

74° is your answer for m∠F

hope this helps

Look back at the plans these students used to solve the word problem below.Who found a correct solution?
- STEP 4: LOOK BACK
According to soap box derby rules, a racer must weigh 250
pounds or less. The Math Club's car weighed in at 266
pounds on the day of the derby. How many pounds did the
Math Club need to remove from their soap box racer?
Dana added the weight limit to the Hector subtracted the weight limit
racer's weight. Since
from the racer's weight. Since
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the racer
from the racer
O A. Dana
B. Hector