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3 years ago

6

12(3)+3y=60 solve for y

2 answers:

Naily [24]3 years ago

7 0

Answer:y= 8

Step-by-step explanation:

vivado [14]3 years ago

7 0

y = 8 Hope it helps (:

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28 students in the class 75% pass how many students pass

SashulF [63]

Answer:

21 students pass

Step-by-step explanation:

Firstly, you can set up the problem into an equation where the variable X would equal the number of students passing. You put X over the total number of students in the class, turning it into a fraction, then set it equal to the fraction $\frac{75}{100}$ (which is 75% represented as a fraction).

$\frac{X}{28} = \frac{75}{100}$

The fraction $\frac{75}{100}$ can be simplified, because 75 and 100 are both multiples of 25, so after canceling out the 25s you would be left with $\frac{3}{4}$ .

$\frac{X}{28} = \frac{3}{4}$

Next, you use the process of cross multiplication which is essentially just multiplying the denominators of both fractions (which would be 28 and 4 in this case) to each side of the equation.

$\frac{X}{28} * 28 * 4 = \frac{3}{4} * 4 * 28$

The denominators cancel out leaving you with a simple equation to simplify.

$4* X = 3 * 28$

$4X = 84$

Finally, divide both sides by four in order to isolate the variable.

$\frac{4X}{4} = \frac{84}{4}$

X = 21.

5 0

3 years ago

Jacob traveled 171 miles in 3.8 hours. He wants to know how many miles he traveled in one hour, so he set up this problem:

Makovka662 [10]

The answer is 45

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8 0

2 years ago

Read 2 more answers

What is another way to write 56

SashulF [63]

Answer:

$\frac{112}{2}$

Step-by-step explanation:

Another way to express 56 is $\frac{112}{2}$ because they are equal values.

3 0

3 years ago

Read 2 more answers

If cos Θ = negative 4 over 7, what are the values of sin Θ and tan Θ? sin Θ = ±square root 33 over 7; tan Θ = ±square root 33 ov

Natali5045456 [20]

Answer:

Answer = Option A;

sinθ = ± $\frac{\sqrt{33} }{7}$

tanθ = ± $\frac{\sqrt{33} }{4}$

Step-by-step explanation:

cosθ = $-\frac{4}{7}$

Remove the negative sign and evaluate cosθ = 4/7

cosθ = adjacent/hypotenuse.

Please see attached image for the right-angle triangle representation.

Let opp = length of opposite side of the triangle.

Let adj = length of adjacent side of the triangle.

Let hyp = length of hypotenuse side of the triangle

Using Pythagoras theorem,

$hyp^{2}= opp^{2} +adj^{2} ;\\\\7^{2}= opp^{2}+ 4^{2};\\ \\opp^{2} =7^{2}- 4^{2} \\\\opp^{2} = 49-16\\\\opp^{2} = 33;$

Take the square root of both sides.

$\sqrt{opp^{2} } =$ ± $\sqrt{33}$

opp = ± $\sqrt{33}$

sinθ = opposite/hypotenuse

sinθ = ± $\frac{\sqrt{33} }{7}$

tanθ = opposite/adjacent

tanθ = ± $\frac{\sqrt{33} }{4}$

6 0

3 years ago

The sum of a number and two times a smaller number is 62. Three times the bigger number exceeds the smaller number by 116.

g100num [7]

Answer:

the bigger number is 42

the smaller number is 10

Step-by-step explanation:

use algebra to denote:

let x be the bigger number

let y be the smaller number

x+2y=62...(1)

3x-y=116...(2)

x=62-2y...(1a)

substitute

3(62-2y)-y=116

186-6y-y=116

-7y=116-186

-7y=-70

y=-70/-7

y=10

therefore x is:

x=62-2(10)

x=62-20

x=42

8 0

3 years ago