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2 years ago

Help plzz!! Thank you!!

Mathematics

1 answer:

antiseptic1488 [7]2 years ago

5 0

Answer:

Step-by-step explanation:

x + 3 = 10

x = 7

the x is 7

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A bicycle wheel has a diameter 60inches how many rotations would it take to go 600 feet

hichkok12 [17]

First, we want to convert 600 feet to inches:

600 feet (12 inches/ft) = 7200 inches

We know that the diameter is 60 inches, so the circumference is 60π inches or 188.5 inches.
We can divide 7200/188.5 to get about 38.2 rotations.

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3 years ago

Read 2 more answers

Find the exact length of the third side?

notka56 [123]

Answer:

57 for the third side

Step-by-step explanation:

a = √(c² - b²)

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2 years ago

How long will it take a seal swimming at a speed of 8 mph to travel 52 miles?

Anna [14]

Answer:

6.5 hours

Step-by-step explanation:

52 divided by 6 = 6.5

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3 years ago

an investor invested a total of 2500 dollars in two mutual funds.one fund earned 5 percent profitwhile the other earned 3 percen

bonufazy [111]

Total investment=$2500

Let say David earned 5% profit and Harry earned 3% profit.

If David invested y dollar in mutual fund then Harry would invest,

Harry would invest,$(2500-y)

Total profit would equal to sum of 5% of money David invested and 3% of money Harry invested,

So,

5% × y +3% ×(2500-y)=total profit

0.05×y+0.03×(2500-y)=$111

0.05y+0.03×2500-0.03y=111

0.02y+75=111

0.02y=111-75

y=36/0.02

y=$1800

which is the amount David invested.

The amount invested by Harry would be,

=$(2500-1800)

=$700

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3 years ago

Three numbers form a geometric progression. If the second term is increased by 2, the progression will become arithmetic and if,

Evgesh-ka [11]

In this exercise we have to use the knowledge of geometric progression to find three specific numbers, in this way we can say that these numbers correspond to;

$0.16\\ -0.64\\ 2.56$

Then using the formula of the geometric progression we find that:

$a_1*r = a_2\\a_2*r = a_3 = a_1*r^2$

now, the differences between the terms must be the same:

$a1*r + 2 - a_1 = a_3 - (a_1*r + 2) = a_1*r^2 - (a_1*r + 2)\\a_1*r^2 - 2*a_1*r + a_1 - 4 = 0$

and now, when we increase the third term by 9,so we have:

$(a_1*r^2 + 9)/(a_1*r + 2) = (a_1*r + 2)/a_1\\(a_1^2*r^2 + 9*a_1)/(a_1*r + 2) = a_1*r + 2\\a_1^2*r^2 + 9*a_1 = (a_1*r + 2)^2 = a_1^2*r^2 + 4*a_1*r + 4\\4*a_1*r - 9*a_1 + 4 = 0\\9*a - 4 = 4*a_1*r\\r = (9*a_1 - 4)/(4*a_1)$

Now we use that identity in the first equation :

$a_1*(9*a_1 - 4)^2/(4×a_1)^2 - 2*a_1*(9*a_1 - 4)/(4*a_1) + a_1 - 4 = 0\\(81*a_1^2 - 72*a_1 + 16)/(16*a_1) - (9*a_1 - 4)/2 + a_1 - 4 = 0\\81*a_1^2 - 72*a_1 + 16 - 8*a_1*(9*a_1 - 4) + 16*a_1^2 - 64*a_1 = 0\\25a_1^2 - 104a_1 + 16 = 0$