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3 years ago

Five more than the quotient of y and 2 is -3

Mathematics

1 answer:

Tresset [83]3 years ago

8 0

Answer:

y/2 + 5 = -3

y/2 = -8

y = -16

Step-by-step explanation:

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11. Graph the following equation and if possible, determine the slope.

Allushta [10]

Answer:

A. m = 0

Step-by-step explanation:

The slope is 0 as the change in y-value is 0, and change in x-value is infinite.

Graph

6 0

2 years ago

In a right triangle, 40-x=(3x). What is the value of x?

Archy [21]

Answer:

x=10

Step-by-step explanation:

Let's solve your equation step-by-step.

40−x=3x

Step 1: Simplify both sides of the equation.

40−x=3x

40+−x=3x

−x+40=3x

Step 2: Subtract 3x from both sides.

−x+40−3x=3x−3x

−4x+40=0

Step 3: Subtract 40 from both sides.

−4x+40−40=0−40

−4x=−40

Step 4: Divide both sides by -4.

−4x

−4

−40

−4

x=10

8 0

3 years ago

an inlet pipe and a hose together can fill the pond in 10 hours. The inlet pipe alone can complete the job in one hour less time

Annette [7]

Answer:

The hose pipe can fill the pond in 21.465 hours.

The inlet pipe can fill the pond in 20.465 hours.

Step-by-step explanation:

Given that, a inlet pipe and a hose pipe together can fill the pond in 10 hours.

The inlet pipe alone can fill the pond in one hour less time than the hose pipe can fill the pond.

Let the hose pipe can complete the job in x hours.

Then the inlet pipe can fill the pond in (x-1) hours.

The rate of filling of hose pipe is $=\frac{1}{x}$

The rate of filling of inlet pipe is $=\frac{1}{x-1}$

The rate of filling of both pipes is = $\frac 1{10}$

According to the problem,

$\frac{1}{x}+\frac{1}{x-1}=\frac{1}{10}$

$\Rightarrow \frac{x-1+x}{x(x-1)}=\frac1{10}$ [ simplifying the fraction]

$\Rightarrow \frac{2x-1}{x^2-x}=\frac1{10}$

$\Rightarrow 10(2x-1)= x^2-x$ [ Multiplying 10(x²-x) both sides]

$\Rightarrow x^2-x= 20x-10$

$\Rightarrow x^2-x-20x+10=0$ [ simplifying ]

$\Rightarrow x^2-21x+10=0$

$\Rightarrow x=\frac{-(-21)\pm\sqrt{(-21)^2-4.1.10}}{2.1}$ [ applying quadratic formula]

$\Rightarrow x=\frac{21\pm21.93}{2.1}$

⇒ x= 21.465, -0.465

x= - 0.465 does not possible, since time can not be negative.

∴x=21.465

The hose pipe can fill the pond in 21.465 hours.

The inlet pipe can fill the pond in (21.465-1)=20.465 hours.

3 0

3 years ago

In 1928, when the high jump was first introduced as a women's sport at the Olympic Games, the winning jump for women was 70.0 in

sveta [45]

Answer: year 2194

Explanation:

1) Model the jump of the women:

i) initial jump = 70.0 in

ii) increase rate = 0.48% per year

iii) equation: h = 70.0(1 +0.0048)ⁿ

2) Model the jump of the men:

i) initial jump 86.5 inches.

ii) increase rate, 0.4%.

iii) equation: h = 86.5 (1 + 0.004)ⁿ

3) Equal the two equations (h = h) to find when the jumps will be equal:

i) 70.0(1 +0.0048)ⁿ = 86.5 (1 + 0.004)ⁿ

ii) 70.0(1.0048)ⁿ = 86.5 (1.004)ⁿ

ii) [1.0048ⁿ / 1.004ⁿ] = 86.5/70.0

iii) [1.0048/ 1.0040]ⁿ = 86.5/70.0

iv) n log (1.0048 / 1.0040) = log ( 86.5/70)

v) n = log (86.5/70) / log (1.0048/1.0040) ≈ 266

3) year = 1928 + 266 = 2194

That is in the year 2194

8 0

3 years ago

Read 2 more answers

A polygon with ten sides is called a _____.

IceJOKER [234]

The answer is decagon

4 0

3 years ago

Read 2 more answers