All categories

3 years ago

Order of Operations- -6+(-30) divided by 5-(-2). Explain step by step

Mathematics

1 answer:

Reil [10]3 years ago

7 0

Answer:

-36/7 or -5.14287

Step-by-step explanation:

so I would get rid of parentheses you do not need them

$\frac{-6+-30}{5--2}$ = $\frac{-36}{7}$ (because when two negative come before two numbers like -x-y they are being added but negative is present to the result of the sum, when one negative sign comes after a number and the other negative sign comes before a number, like x--y they are being added as well but negative is not present to the result of the sum)

-36/7=-5.1428

hope this helps!

You might be interested in

what is the volume of the cone with radius 6 inches and height 10 inches express the answer in terms of pi

Vanyuwa [196]

Answer:

V = (1/3)(π)(6 in)²(10 in) = 120π in³

Step-by-step explanation:

The volume of a cone of radius r and height h is V = (1/3)πr²h.

Here, that volume is V = (1/3)(π)(6 in)²(10 in) = 120π in³

6 0

3 years ago

Read 2 more answers

Land's Bend sells a wide variety of outdoor equipment and clothing. The company sells both through mail order and via the intern

nata0808 [166]

Answer:

−35.713332 ; 0.313332

Step-by-step explanation:

Given that:

Sample size, n1 = 11

Sample mean, x1 = 79

Standard deviation, s1 = 18.25

Sample size, n2 = 18

Sample mean, x2 = 96.70

Standard deviation, s2 = 20.25

df = n1 + n2 - 2 ; 11 + 18 - 2 = 27

Tcritical = T0.01, 27 = 2.473

S = sqrt[(s1²/n1) + (s2²/n2)]

S = sqrt[(18.25^2 / 11) + (20.25^2 / 18)]

S = 7.284

(μ1 - μ2) = (x1 - x2) ± Tcritical * S

(μ1 - μ2) = (79 - 96.70) ± 2.473*7.284

(μ1 - μ2) = - 17.7 ± 18.013332

-17.7 - 18.013332 ; - 17.7 + 18.013332

−35.713332 ; 0.313332

3 0

2 years ago

X + 1 > 8 whats the answer

natka813 [3]

Answer:

x can = anywhere from 8 to infinite because x has to be greater than 8 at least

Step-by-step explanation:

8 0

3 years ago

Joseph is running up and down the stadium stairs for exercise. Each step is 8 inches high and there are a total of 50 stairs. Jo

Alex17521 [72]

The distance he has traveled vertically to the nearest yard in combined trip is 111 yards.

Solution:

Given that,

Each step is 8 inches high

There are a total of 50 stairs

So the height of 50 stairs is:

Height of 50 stairs = 50 x 8 = 400 inches

Joseph makes 10 round trips up and down the stairs

So, joseph has went up 10 times and he came down 10 times

We need to find the distance he has traveled vertically in the combined trips

Therefore,

Number of times he went up = 10

We know that,

height of 50 stairs = 400 inches

Therefore,

Distance traveled up = 10 x 400 = 4000 inches

Convert to yard

1 yard = 36 inch

Therefore,

$4000\ inch = \frac{4000}{36}\ yard = 111.111\ yards$

Therefore, the distance he has traveled vertically to the nearest yard in combined trip is 111 yards

8 0

3 years ago

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by th

mash [69]

Answer:

The rocket hits the gorund after approximately 10.71 seconds.

Step-by-step explanation:

The height of the rocket y in feet x seconds after launch is given by the equation:

$y=-16x^2+165x+69$

And we want to find the time in which the rocket will hit the ground.

When it hits the ground, its height above ground will be 0. Hence, we can let y = 0 and solve for x:

$0=-16x^2+165x+69$

We can use the quadratic formula:

$\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

In this case, a = -16, b = 165, and c = 69.

Substitute:

$\displaystyle x=\frac{-165\pm\sqrt{(165)^2-4(-16)(69)}}{2(-16)}$

Evaluate:

$\displaystyle x=\frac{-165\pm\sqrt{31641}}{-32}=\frac{165\pm\sqrt{31641}}{32}$

Hence, our solutions are:

$\displaystyle x_1=\frac{165+\sqrt{31641}}{32}\approx 10.71\text{ or } x_2=\frac{165-\sqrt{31641}}{32}\approx-0.40$

Since time cannot be negative, we can ignore the first answer.

So, the rocket hits the gorund after approximately 10.71 seconds.

7 0

3 years ago