Ask question

Ask question

All categories

3 years ago

5

Can somebody explain how to do this ?

2 answers:

Alenkinab [10]3 years ago

6 0

Answer:

$y=-6$ is the correct answer.

Step-by-step explanation:

The steps involved in solving an algebraic equation in one variable are as stated as:

Step 1: If necessary, simplify the expressions on each side of the equation. This would involve things like removing parentheses, adding like terms, removing fractions.

To remove fractions: Since fractions are another way to write division, and the inverse of divide is to multiply, you remove the fractions by multiplying both sides by the "Least Common Divisor" of all your fractions.

Step 2: Use Addition / Subtraction properties to move the variable term to one side and all other terms to the other side.

Step 3: Use Multiplication / Division properties to remove any values that in front of the variable.

Step 4: Check your answer.

Step-by-Step Solution:

$12\left(5+2y\right)=4y-\left(6-9y\right)\\\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\\\\mathrm{Expand\:}12\left(5+2y\right)\:\:=\:\: 60+24y\\\\\mathrm{Expand\:}4y-\left(6-9y\right)\:\:=\:\: 13y-6\\\\60+24y=13y-6\\\\\mathrm{Subtract\:}60\mathrm{\:from\:both\:sides}\\\\60+24y-60=13y-6-60\\\\24y=13y-66\\\\\mathrm{Subtract\:}13y\mathrm{\:from\:both\:sides}\\\\24y-13y=13y-66-13y\\\\11y=-66\\\\\mathrm{Divide\:both\:sides\:by\:}11\\\\\frac{11y}{11}=\frac{-66}{11}\\\\y=-6$

maria [59]3 years ago

5 0

Answer:

-6

Step-by-step explanation:

12(5+2y) = 4y - (6-9y)

60+24y = 4y-6+9y

24y + 60 = 13y - 6

24y-13y = -6-60

11y = -66

y = -6

You might be interested in

Please help me solve this question. Thank you

alekssr [168]

Answer:

There is no equation to answer

Step-by-step explanation:

4 0

3 years ago

A party store has 54 packs of plates in stock. The packs are either sets of 8 or sets of 12. If the store has 496 total plates i

miss Akunina [59]

Answer:

a 16

Step-by-step explanation:

16 x 12 = 192 plates

496 total plates - 192 = 304

304 packages of 8 plates

304 / 8 = 38 sets of 8 plates

38 + 16 = 54 packs of plates

4 0

3 years ago

Read 2 more answers

A plane flying horizontally at an altitude of "1" mi and a speed of "430" mi/h passes directly over a radar station. Find the ra

Anika [276]

Answer:

The rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station is 372 mi/h.

Step-by-step explanation:

Given information:

A plane flying horizontally at an altitude of "1" mi and a speed of "430" mi/h passes directly over a radar station.

$z=1$

$\frac{dx}{dt}=430$

We need to find the rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station.

$y=2$

According to Pythagoras

$hypotenuse^2=base^2+perpendicular^2$

$y^2=x^2+1^2$

$y^2=x^2+1$ .... (1)

Put z=1 and y=2, to find the value of x.

$2^2=x^2+1^2$

$4=x^2+1$

$4-1=x^2$

$3=x^2$

Taking square root both sides.

$\sqrt{3}=x$

Differentiate equation (1) with respect to t.

$2y\frac{dy}{dt}=2x\frac{dx}{dt}+0$

Divide both sides by 2.

$y\frac{dy}{dt}=x\frac{dx}{dt}$

Put $x=\sqrt{3}$ , y=2, $\frac{dx}{dt}=430$ in the above equation.

$2\frac{dy}{dt}=\sqrt{3}(430)$

Divide both sides by 2.

$\frac{dy}{dt}=\frac{\sqrt{3}(430)}{2}$

$\frac{dy}{dt}=372.390923627$

$\frac{dy}{dt}\approx 372$

Therefore the rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station is 372 mi/h.

6 0

3 years ago

Express 3km 2m as a decimal of 1km.

puteri [66]

Answer:

3.002 km

Step-by-step explanation:

1000 m = 1 km

1 m = 0.001 km

3 km + 2 m = 3 km + 2(0.001 km)

3 km + 2(0.001 km) = 3.002 km

6 0

3 years ago

What is the slope of the line that passes through the points (-2, 2), and (-4, -2)? - 2 -2

dusya [7]

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (-2, 2) and (-4, -2). Substitute:

$m=\dfrac{-2-2}{-4-(-2)}=\dfrac{-4}{-2}=2$

<h3>Answer: the slope = 2</h3>

4 0

3 years ago