he sum of two numbers is 60. The greater number is 6 more than the smaller number. Which equation can be used to solve for the smaller number?

x + (x + 6) = 60
x − (x + 6) = 60
x(x + 6) = 60
x(x− 6) = 60

Answer:

one solution for that is 1

Step-by-step explanation:

subtract 4 from both sides, then your left with -3y and -3, then you divide -3 by -3 and you get 1.

I hope that made sense:)

Answer:

I think it is 8

Step-by-step explanation:

6 1/2 divided by 3/8 = 8

hope this helped

Answer:

4

Step-by-step explanation:

2 × 2 = 4

Answer:

75

Step-by-step explanation:

Answer:

-√5 < x <  √5 .

Step-by-step explanation:

x^2 - 5 < 0

Solving x^2 - 5 = 0

x = √5 and -√5

These are the critical points

The coefficient of x^2 is positive so the graph ( which is a parabola) opens up.

so the region when x^2 - 5 is < 0 is  when  x >  -√5  and < √5

Answer:

D

Step-by-step explanation:

Answer:

The answer is "[tex]\bold{\frac{1024}{3}}[/tex]".

Step-by-step explanation:

[tex]= \int\limits^{4}_{-4} \int\limits^{4}_{0} \int\limits^{16}_{x^2} dy\ dx \ dz \\\\= 2 \int\limits^{4}_{0} \int\limits^{4}_{0} \int\limits^{16}_{x^2} dy\ dx \ dz \\\\ = 2 \int\limits^{4}_{0} \int\limits^{4}_{0} (16-x^2) dx \ dz \\\\= 2 \int\limits^{4}_{0} \int\limits^{4}_{0} 16x -\frac{x^3}{3} dx \ dz \\\\= 2 (16x -\frac{x^3}{3})^4_{0} \ dz \\\\= 2 (4) (16x -\frac{64}{3}) \\\\=8(\frac{2}{3} \times 64) \\\\=(\frac{16\times 64}{3} ) \\\\= \frac{1024}{3}[/tex]

The volume of the given solid is [tex]\frac{1024}{3}[/tex] cubic units.

In this question we must use the triple integral formula in rectangular coordinates to determine the volume of the solid ([tex]V[/tex]):

[tex]V = \iiint dy\,dx\,dz[/tex] (1)

The solid is constrained by the following intervals:

[tex]y \in [x^{2}, 16][/tex], [tex]x \in [-4, 4][/tex], [tex]z\in [0, 4][/tex]

Then, the triple integral is now described:

[tex]V = \int\limits_{0}^{4}\int\limits_{-4}^{4}\int\limits_{x^{2}}^{16} dy\,dx\,dz[/tex]

Now we proceed to integrate thrice to obtain the volume:

[tex]V = \int \limits_{0}^{4}\int \limits_{-4}^{4} (16-x^{2})\,dx\,dz[/tex]

[tex]V = \int\limits_{0}^{4} \left(16\cdot x - \frac{x^{3}}{3}\right)\left|\limits_{-4}^{4} dz[/tex]

[tex]V = \frac{256}{3} \int\limits_{0}^{4} dz = \frac{1024}{3}[/tex]

The volume of the given solid is [tex]\frac{1024}{3}[/tex] cubic units.

We kindly invite to check this question on triple integrals: https://brainly.com/question/19484372

Answer:

Step-by-step explanation:

1

180-72=108

108-82=26

x=26

2

1580-30=150

150-82=68

x=68

Answer:

13-(5*4)=?

13-20=-7

Step-by-step explanation:

the orginal number is 13 and accordin to the question it has stated that everysteps we have to take out 5 so what i did is that i multiplied 4 by 5 and i a going to subtract it from 13 which i have the result of -7.

Answer:

28

Step-by-step explanation:

first term(a)=13

difference(d)=5

t(4)=?

now,

t(4)=a+(n-1)d

=13+(4-1)5

=13+3×5

=28

The rate of change for the relationship, given the data is -2.25 gallon/min

Velocity is simply defined as the rate of change of displacement with time. Mathematically, it can be expressed as:

Velocity = displacement / time

With the above idea in mind, we can obtain the rate of change for the given relationship. This is illustrated below:

Rate = Change in gallon / change in time

Rate = (36.25 - 38.5) / (8 -7)

Rate = -2.25 / 1

Rate of change = -2.25 gallon/min

Learn more about velocity:

https://brainly.com/question/3411682

#SPJ1

Answer:

$12

Step-by-step explanation:

50% is half off of something, which in this case would be the $24, so you would just take half off the 24. So you could divide it by 2 which would be 12.

Answer:

Step-by-step explanation:

Homework Weekend Create a short story.

Answer:There are 4 serving in the container.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Took Edge 2020 Fraction Multiplication and Division Test

123.456 RONDED TO THE NEAREST HUNDREDTH.

Answer:

123.46

Answer:

123.46 is probably the answer

Answer:

What did you need halp with

Step-by-step explanation:

Answer:

x=65

I put a pdf with the work below. hope it helps!

Step-by-step explanation:

it's already a fraction tho.

Answer:

The answer is

[tex] \huge y + 1 = 15(x - 3) \\ [/tex]

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

where

m is the slope

( x1 , y1) is the point

From the question we have the final answer as

[tex]y + 1 = 15(x - 3)[/tex]

Hope this helps you

Answer:

114 liters

Step-by-step explanation:

120 x 0.95 = 114

Answer:

198

Step-by-step explanation:

Bill costs 20.86

monthly fee plus cost per minute = 20.86

7 + (20.86-7) = 20.86

7+13.86=20.86

7+1386cents = 20.86

Minutes Aldo was billed = 1386÷7=198

Number of business partners who started a business = 3

The total money they invested = 1200000

The ratio in which they invested = 2 : 5 : 3

Total number of parts = 2 + 5 + 3 = 10

Each part = 1200000 ÷ 10

Each part = 120000

Number of parts invested by one of the partners = 2

Money they invested = 120000 × 2

Money they invested = 240000

Number of parts invested by another partner = 5

Money another partner invested = 120000 × 5

Money they invested = 600000

Number of parts invested by the third partner = 3

Money invested by the last partner = 120000 × 3

Money they invested = 360000

Therefore , each of the partners invested 240000 , 600000 and 360000 rupees respectively .

Answer:

The answer is B

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The rates of b, c, d make sense in relation to each other. A is the only one dealing with decimal points; whilst the other numbers are dealing with the same x and y values just different sized graphs.

Answer:

Descriptive statistics uses the data to provide descriptions of the population, either through numerical calculations or graphs or tables. Inferential statistics makes inferences and predictions about a population based on a sample of data taken from the population in question.

Answer:

what do you need help with you did not provide a picture or any evidence

Step-by-step explanation:

step-by-step explanation

Answer:

2 or 4

Step-by-step explanation:

Since I do not quite understand what you mean by X X, I could think of two answers. If you are doing 5 times X=20, then X = 4, but if you are trying to do 5 times x times x, then x=2.

Answer:

Step-by-step explanation:

From the given information:

We are  told that there exist two machines

Machine 1 and Machine 2

Given that machine 1 pays 10% when it is generous, then the probability  can be computed as:

P(pays | machine 1 is generous) = 0.10

Also, machine 2 pays 20% when it is generous, then the probability that the machine pays 20% when it is generous is :

P(pays | machine 2 is generous) = 0.20

However, the two machines have an equal chance of being generous.

Therefore, the probability that machine 1 is generous is equal to the probability that machine 2 is also generous.

i.e.

P( machine 1 is generous) = P( machine 2 is generous) = 0.50

The first objective is to find the probability that the machine 1 is generous, given that the player loses the first bet.

i.e. P (machine 1 is generous | but lost)

Thus, we know that the probability that the machine is generous is = 0.5, therefore, the probability that the machine is generous is 50% when he loses the first bet.

Therefore, to find the probability that the machine 1 is generous | but lost, we have:

[tex]\mathbf{P(machine \ 1 \ is \ generous | lost) = \dfrac{P(machine \ 1 \ is \ generous \ \cap lost )}{P(lost)} }[/tex]

Let:

P(lost | machine 1 is generous) = A

P(machine 1 is generous) = B

P (Pays | machine 1 is generous ) = C

P(Pays | machine 2 is generous )  = D

P(machine 2 is generous) = E

[tex]\mathbf{P(machine \ 1 \ is \ generous | lost) = \dfrac{(1 - C) \times B}{ (1 - C) \times B + (1 - D) \times E} }[/tex]

[tex]\mathbf{P(machine \ 1 \ is \ generous | lost) = \dfrac{(1 - 0.10) \times 0.50}{ (1 - 0.10) \times 0.50 + (1 - 0.20) \times 0.50} }[/tex]

[tex]\mathbf{P(machine \ 1 \ is \ generous | lost) = \dfrac{0.45}{0.85}}[/tex]

[tex]\mathbf{P(machine \ 1 \ is \ generous | lost) =0.5294}[/tex]

Thus, the probability that machine 1 loses the first bet but it is generous = 0.5294

Thus, since the answer is close to 0.50, we say that the answer is consistent with what is expected.

Answer:

C

Step-by-step explanation:

just cuz I said buster