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4 years ago

What is the first step in solving the equation 4x + 2y = 5 for x?

Mathematics

2 answers:

jek_recluse [69]4 years ago

5 0

Isolate 2y so subtract 4x from both sides your new equation should look like

2y=5-4x

gulaghasi [49]4 years ago

3 0

U subtract 4x for n each side

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If you had an additional 1.65 pounds to download songs, how many more songs could you have downloaded? Write and solve an equati

erma4kov [3.2K]

Answer:

6.0p+1.65p=7.65

Step-by-step explanation:

6 0

4 years ago

The profit of football club after a take over is modelled by p(t)=t3-24t2+20t+120 in which years was the club making losd?

NemiM [27]

Answer:

16 years

Step-by-step explanation:

Given

$P(t) = t^3 - 24t^2 + 20t + 120$

Required

Year they made loss

$P(t) = t^3 - 24t^2 + 20t + 120$

Start by differentiating P w.r.t t

Using first principle:

$\frac{dP}{dt} = 3t^2 - 48t + 20$

Equate to 0, in order to solve for t

$\frac{dP}{dt} = 0$

So, we have:

$3t^2 - 48t + 20 = 0$

Solve using quadratic equation

$t = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}$

Where

a = 3, b = -48 and c = 20

So, we have:

$t = \frac{-(-48) \± \sqrt{(-48)^2 - 4*3*20}}{2*3}$

$t = \frac{-(-48) \± \sqrt{2064}}{2*3}$

$t = \frac{-(-48) \± \45.4}{2*3}$

$t = \frac{48 \± \45.4}{6}$

Split:

$t = \frac{48 + \45.4}{6}$ or $t = \frac{48 - \45.4}{6}$

$t = \frac{93.4}{6}$ or $t = \frac{2.6}{6}$

$t = 15.56$ or $t = 0.43$

Approximate to whole numbers

$t = 16$ or $t = 0$

<em>Hence, they made loss 16 years after they took over</em>

8 0

3 years ago

A lion paced up and down the ridge 10 times. The ridge is 5 ft. 3 in. long. How far did the lion travel? (12 in.=1 ft.)

Setler79 [48]

Answer:

105 ft.

Step-by-step explanation:

5 x 12 = 60

So 5 feet is 60 inches.

60 + 3 = 63

That makes the ridge 63 inches long.

When the lion went up the ridge, it traveled 63 inches.

When the lion went back down the ridge, it traveled another 63 inches, totaling 126 inches.

The lion did this 10 times.

126 x 10 = 1260

Divide 1260 by 12 to find the measurement in feet.

1260 ÷ 12 = 105

7 0

3 years ago

Find the surface area of the prism 12in 4 in 3in 5in 5in 6in

Mamont248 [21]

Answer:

Area of trapezoid:

12 + 6<-- your two bases of the trapezoid = 18

18 x 4 = 72, 72 divided by 2 = 36

now we multiply by 2 since there are 2 trapezoids:

36 x 2 = 72

Area of rectangle in front:

6 x 3 = 18

Area of the 2 rectangles on the sides:

5 x 3 = 15

(multiply by 2 since there are two rectangles on both sides)

15 x 2 = 30

Area of rectangle on the back:

12 x 3 = 36

Now lets add up all the areas:

72 + 18 + 30 + 36 = 156 in2 is your answer.

5 0

3 years ago

In the above figure, m∠P = 125° and m∠Q = (5x)°. If angles P and Q are supplementary angles, what are the value of x and the mea

adelina 88 [10]

Answer:

I had the same question and the answer is x = 11, m∠Q = 55°

4 0

3 years ago