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3 years ago

What is 8 3/4 ÷ 2 1/6? A. 3 1/8 B. 3 25/26 C. 4 1/26 D. 4 1/8

Mathematics

1 answer:

love history [14]3 years ago

3 0

Convert mixed numbers to improper fractions:

$8\dfrac{3}{4}=\dfrac{8\cdot4+3}{4}=\dfrac{35}{4}\\\\2\dfrac{1}{6}=\dfrac{2\cdot6+1}{6}=\dfrac{13}{6}$

$8\dfrac{3}{4}\div2\dfrac{1}{6}=\dfrac{35}{4}\div\dfrac{13}{6}=\dfrac{35}{4\!\!\!\!\diagup_2}\cdot\dfrac{6\!\!\!\!\diagup^3}{13}=\dfrac{(35)(3)}{(2)(13)}=\dfrac{105}{26}=4\dfrac{1}{26}\to\boxed{C.}$

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An exam worth 145 points contains 50 questions. The number of two-point questions is equal to 50 minus the number of five-point

abruzzese [7]

Answer:

Therefore there are 35 number of 2-point questions and 15 number of 5-point questions.

Step-by-step explanation:

i) let the number of 2 point question is x.

ii) let the number of 5 point questions be y

iii) total number of questions is 50

iv) therefore x + y = 50

v) it is also given that 2x + 5y = 145

vi) solving for the two equations found in iv) and v). Multiplying iv) by 2 we get

2x + 2y = 100

vii) subtracting equation vi) from equation v) we get 3y = 45.

viii) Therefore y = 15.

ix) using the value in viii) and substituting in iv) we get x + 15 = 50.

Therefore x = 50 - 15 = 35

x) Therefore there are 35 number of 2-point questions and 15 number of 5-point questions.

3 0

3 years ago

Read 2 more answers

Sal wants to know if he has enough money to buy 4 gallons of gas. If he has $15, and each gallon of gas costs $3.29, which is a

velikii [3]

Answer:

Remember that when you are making stimates, you are going to roiund to the nearest dollar. Since $3.29 is closer to 3 dollars than four dollars, Sam should use the 3 dollars figure to estimate if he can afford 4 gallons of gas.

$3+$3+$3+$3=$12

The actual value is , so $3 per gallon is indeed a god estimate.

We can conclude that the correct answer is: $3 + $3 + $3 + $3 = 12, so Sal can afford the gas.

If this helped please rate and to be marked brainliest answer would be appreciated

Step-by-step explanation:

7 0

3 years ago

Expand -8 to the 3rd power

BigorU [14]

Use a calculator lollll

8 0

3 years ago

Show the working out too please in numbers, thank you.

vazorg [7]

Hii :))

$\tt \: - 5 = \frac{x}{6} \\ \tt \: - 5 \times 6 = x \\ \boxed{ \tt \: - 30 = x}$

__________________

The correct value of x is - 30.

$\overbrace{ \underbrace{ \sf \: \infty \: Carry \: on \: Learning \: \infty }}$

ᴛʜᴇᴇxᴛʀᴀᴛᴇʀᴇꜱᴛʀɪᴀʟ

3 0

2 years ago

Read 2 more answers

What 2 numbers multiply to be -14 and add to be -3

Svetach [21]

Xy = -14
x + y = -3

$xy = -14$
$\frac{xy}{x} = \frac{-14}{x}$
$y = \frac{-14}{x}$

$x + y = -3$
$x + \frac{-14}{x} = -3$
$\frac{x^{2}}{x} + \frac{-14}{x} = -3$
$\frac{x^{2} - 14}{x} = -3$
$x^{2} - 14 = -3x$
$x^{2} + 3x - 14 = 0$
$x = \frac{-(3) \± \sqrt{(3)^{2} - 4(1)(-14)}}{2(1)}$
$x = \frac{-3 \± \sqrt{9 + 56}}{2}$
$x = \frac{-3 \± \sqrt{65}}{2}$
$x = \frac{-3 \± 8.06}{2}$
$x = -1.5 \± 4.03$
$x = -1.5 + 4.03$ $or$ $x = -1.5 - 4.03$
$x = 2.53$ $or$ $x = -5.53$

  x + y = -3
2.53 + y = -3
- 2.53 - 2.53
  y = -5.53
  (x, y) = (2.53, -5.53)

x + y = -3
  -5.53 + y = -3
+ 5.53   + 5.53
  y = 2.53
  (x, y) = (-5.53, 2.53)

The two numbers that multiply to -14 and add up to -3 are -5.53 and 2.53.

8 0

3 years ago