Alex got 27 questions out of 30 correct. what present of the questions did he get correct?(use fish method)

Mathematics

1 answer:

Novosadov [1.4K]1 year ago

4 0

if we take 30 to be the 100%, what is 27 off of it in percentage?

$\begin{array}{ccll} amount&\%\\ \cline{1-2} 30 & 100\\ 27& x \end{array} \implies \cfrac{30}{27}=\cfrac{100}{x} \\\\\\ \cfrac{10}{9}=\cfrac{100}{x}\implies 10x=900\implies x=\cfrac{900}{10}\implies x=90$

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Help help math math math

ser-zykov [4K]

Answer:

x = 16

Step-by-step explanation:

The two marked angles are supplementary:

(7x -2) +(4x +6) = 180

11x +4 = 180

11x = 176

x = 176/11 = 16

The value of x is 16.

_____

<em>Additional comment</em>

The angle on the left is 110°; the one on the right is 70°, so that answer checks.

These marked angles are called "consecutive exterior" angles. Just as "consecutive interior" angles are supplementary, so are consecutive exterior angles.

Essentially, all of the obtuse angles are congruent, as are all of the acute angles. The obtuse angles are supplementary to the acute angles.

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2 years ago

Can you please answer number 82

hichkok12 [17]

A.) the answer is 2x+y+7
b.)the answer is 2x+7y-9
c.)the answer is 24x+48
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2 years ago

Evaluate the expression 11C4.

kicyunya [14]

The correct answer is: 330

Explanation:

The formula for combination is given as follows:

$^nC_r = \frac{n!}{r! (n-r)!}$ --- (1)

Where n = 11

r = 4

Plug in the values in equation (1) and calculate:

$^nC_r = \frac{n!}{r! (n-r)!} \\ ^{11}C_{4} = \frac{11!}{4! (11-4)!} \\ ^{11}C_{4} = \frac{11*10*9*8*(7!)}{4! (7)!} \\ ^{11}C_{4} = \frac{11*10*9*8}{4!} \\ ^{11}C_{4} = \frac{11*10*9*8}{4*3*2*1} \\ ^{11}C_{4} = 330 \\$