What's the step by step for 3x+30+x=10+2x+5x+2?

Answer:

g = 1.6t

Step-by-step explanation:

Here, we want to select the equation that shows the correct relationship between g and t

We are told that after 6 seconds, we have 9.6 gallons of water

So the amount per second will be 9.6/6 = 1.6 gallons per second

So the relationship between the two will be

g = 1.6t

Where t is the time and g is the gallons

Answer:

4/15.

Step-by-step explanation:

1/3(1/5) + 1/5

1/15 + 1/5

1/15 + 3/15

4/15

Answer:

4/15

Step-by-step explanation:

\(( \frac{1}{3} \times \frac{1}{5} ) + \frac{1}{5} \\ \frac{1}{15} + \frac{1}{5} \\ \frac{1}{5} + \frac{3}{13} \\ \frac{1 + 3}{15} = \frac{4}{15} \)

Answer:

8.j     9.b   10.f    11.a

Step-by-step explanation:

you welcome

x= -66/19

Multiply 2 on both sides:

2*(5x+6)/2=3(4x+12)*2

Simplify:

5x+6=24x+72

Subtract 6 from both sides:

5x+6-6=24x+72-6

Simplify:

5x=24x+66

Subtract 24x from both sides:

5x-24x=24x+66-24x

Simplify:

-19x=66

Divide both sides by -19

-19x/-19=66/-19

Simplify:

x= -66/19

Answer: Using the absolute value function, linear functions and translations, we have that:

9. Vertex (2, 0), Range: {y | 0 ≤ y < ∞}

10. The equation is f(x) = -5x + 100.

11. The correct option is: The slope of f(x) is greater than the slope of g(x).

12. h(-5) = 10.

13. The equation is f(x) = 2x + 5.

14. The graph of y = f(x) will shift right 9 units.

Step-by-step explanation:

Answer:

b

I am not really sure but I think it is b

Answer:

Thank You:)O.O

Step-by-step explanation:

whatuysghwdsuahjknsdbjhkfnewdsbhjkxmnfewsd

The term "average" in statistics refers to a measure that summarizes the central tendency of a data set. Another term that could be used in place of "average" is "mean.  Average plays a crucial role in statistics as it provides a summary measure of central tendency.

The term "average" in statistics refers to a measure that represents the central tendency of a data set. It is commonly used to summarize and describe the typical value or typical level of a particular variable within a population or sample.

The role of the term "average" is to provide a single value that represents the collective information of the data set. It helps in simplifying and summarizing complex data by providing a measure that is representative of the entire distribution. It allows for comparisons, analysis, and inference based on a single value rather than considering each individual data point.

However, it's important to note that depending on the context and the nature of the data, alternative measures of central tendency may be more appropriate than the "average." For example, if the data set contains outliers or is heavily skewed, the median or mode might be better indicators of the typical value.

In summary, the term "average" plays a crucial role in statistics as it provides a summary measure of central tendency. However, it is important to consider the specific characteristics of the data set and potentially use alternative measures when necessary.

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The statement which are true for triangle LMN are :

1 ) The angle at vertex L is acute.

2) The angle at vertex N is acute.

What is obtuse angle ?

An obtuse angle is defined as an angle measuring less than 180 degrees and greater than 90 degrees. Examples of obtuse angle degrees include 165°, 135°, 110°, 179°, 91°, etc., which lie between 90° and 180°.

Here, it is given that triangle LMN has an obtuse angle at vertex M that is :

The angle formed by vertex L and N will be acute angle that is less then 90 degrees as to satisfy the triangle law of addition (all sum of all the angles of a triangle is 180 degree).

Therefore, option A and D are correct.

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Answer:  1, 2 and 5

Step-by-step explanation:

Analyzing Obtuse Triangles
see picture

The correct formula to calculate the number of tires, t, needed for c cars per day is t = c/4, which is option b).


The formula that shows how to calculate the number of tires, t, needed for c cars per day is option b) t = c/4.

To understand this formula, let's break it down step by step:

1. Each car needs four regular tires and one spare tire for the trunk. So, the total number of tires needed for one car is 4 + 1 = 5.

2. If we want to calculate the total number of tires needed for c cars, we can multiply the number of cars by the number of tires needed per car, which is 5. So, the formula becomes t = 5c.

3. However, we need to find the number of tires needed, which is represented by t. Since we have t on the left side of the equation, we can rearrange the formula by dividing both sides by 5: t/5 = c.

4. Now, we have the number of tires needed (t) expressed in terms of the number of cars (c), but we want to find the number of cars needed given the number of tires (t).


To do this, we can rearrange the formula again by dividing both sides by 4: t/4 = c/4.

Therefore, the correct formula to calculate the number of tires, t, needed for c cars per day is t = c/4, which is option b).

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Let x = width

Length = 3x

Area = 35

3x * x = 35

3x^2 = 35

x^2 = 35/3

x = √(35/3)

Width = √(35/3)

Length = 3√(35/3)

Answer: A: 3 square feet per minute

Step-by-step explanation:

The square feet more that Paula can shovel in 1 minute more than Melinda is 3 square feet per minute.

30x + + 30y = 450 equation 1

20x + 25y = 345 equation 2

Where:

x = square feet shovelled by Melinda

y = square feet shovelled by Paula

The first step is to multiply equation 1 by 20 and equation 2 by 30

600x + 600y = 9000 equation 3

600x + 750 y = 10,350 equation 4

Subtract equation 3 from equation 4

150y = 1350

Divide both sides by 150

y = 9 square meters

Substitute for y in equation 1

30x + 30(9) = 450

30x + 270 = 450

30x = 450 - 270

30x = 180

x = 6 square meters

9 - 6 = 3 square meters

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When both groups are shifted to a situation in which they earn an alternative reward after being trained to navigate a runway for food, the group that received three food pellets will continue to perform the task at a high level while the group that received one food pellet will experience difficulty.

It is known that rats have a natural preference for higher rewards. As a result, the group that received three pellets will be more motivated to complete the task since they have already tasted a higher reward. Therefore, they will continue to perform at a high level in the new environment.

On the other hand, the group that received only one pellet may find it challenging to adapt to the new situation since they are now receiving a lower reward. As a result, they may struggle to complete the task, and their performance may decrease.

In conclusion, the group that received three pellets will perform better than the group that received one pellet when both groups are shifted to a situation in which they earn an alternative reward. This is because the rats have a natural preference for higher rewards.

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\(\left \{ {{f(x)=-3x+2} \atop {g(x)=x+1}} \right.\)

To find g(f(x)), Substitute f(x) in g(x).

\(g(-3x+2)\)

Then substitute x = -3x+2 in g(x) = x+1

\(g(-3x+2)=(-3x+2)+1\\g(-3x+2)=-3x+2+1\\g(-3x+2)=-3x+3\)

Therefore, the answer is \(g(f(x))=-3x+3\)

Discrete probability distribution is the events are those with a finite number of outcomes and the two conditions are that the each value is between 0 and 1, and the sum of all values is 1.

According to the statement

we have to explain all about the discrete probability distribution and its two conditions which determine that the this probability is a probability distribution.

So, For this purpose, we know that the

Discrete events are those with a finite number of outcomes

And this is other way that we defines that the A discrete probability distribution counts occurrences that have countable or finite outcomes. This is in contrast to a continuous distribution, where outcomes can fall anywhere on a continuum.

The main example of this is Binomial.

And the two conditions of the probability distribution is :

So, Discrete probability distribution is the events are those with a finite number of outcomes and the two conditions are that the each value is between 0 and 1, and the sum of all values is 1.

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Check the picture below.

Answer:

B.   3,158

Step-by-step explanation:

h(x) = -49x − 125

Let x = -67

h(-67) = -49(-67) − 125

          =3283-125

          = 3158

Answer:

Answer B

Step-by-step explanation:

To find the value of h(-67) for the function h(x) = -49x - 125,

we substitute -67 for x in the function and evaluate it.

h ( - 67 ) = - 49 ( - 67 ) - 125

Now we can simplify the expression:

h ( -67 ) = 3283 - 125

h ( -67 ) = 3158

Answer:

O = 41 degrees

Step-by-step explanation:

the sum of all angles in a triangle is always 180 degrees.

the graphic shows that this triangle has 2 equal sides. that means that both angles at O and at M are equal.

so, we know all three angles and can calculate

7y + 2×(4y - 15) = 180

7y + 8y - 30 = 180

15y = 210

y = 14

so, the angle at O is

O = 4×14 -15 = 56 - 15 = 41 degrees

The probability that Jevonte will hit his next free throw is "likely" or "high".

Since Jevonte has made 7 out of 8 of his free throws so far, he has a success rate of 87.5%, which is quite high. Therefore, it is reasonable to expect that he will continue to make his free throws at a similar rate, making it likely that he will hit his next free throw.

what is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain. A probability of 0.5 (or 50%) means the event is just as likely to occur as it is not to occur. Probability is used extensively in fields such as mathematics, statistics, physics, engineering, economics, and many other areas to model and analyze uncertain events or situations.

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Answer: Read the step by step explanation for the answer

Step-by-step explanation:

We can use the Pythagorean theorem to find the hypotenuse of the right triangle formed by the given point (4, 3) and the origin (0, 0):

r = √(4² + 3²) = 5

Then we can use the coordinates of the point (4, 3) to determine the values of the trigonometric functions:

sin(θ) = opposite/hypotenuse = 3/5

cos(θ) = adjacent/hypotenuse = 4/5

tan(θ) = opposite/adjacent = 3/4

csc(θ) = hypotenuse/opposite = 5/3

sec(θ) = hypotenuse/adjacent = 5/4

cot(θ) = adjacent/opposite = 4/3

Therefore, the values of the six trigonometric functions of θ are:

sin(θ) = 3/5

cos(θ) = 4/5

tan(θ) = 3/4

csc(θ) = 5/3

sec(θ) = 5/4

cot(θ) = 4/3

Formula for simple interest = total = start value x ( 1 + interest rate x time)

Total = 1880.90 x ( 1 + 0.055 x 1)

Total = 1,984.35

Interest = total - starting amount

Interest = 1984.35-1880.90 = 103.45

Interest: £103.45

Answer:

Perimeter = 1880.9

Time = 1 years

Rate = 5 (½) years

Interest

SI = PRT/100

5½ = 11/2 %

» SI = 1880.9 × 11 × 1/2 × 100

» SI = 1880.9 × 11/200

» SI = 103.4

Step-by-step explanation:

X=7 or x=5

It might be two answer to this question

\(\huge\textsf{Hey there!}\)

\(\large\textsf{(x - 7) (x - 5)}\)

\(\large\text{DISTRIBUTE each of the numbers}\)

\(\large\textsf{x(x) + (-5)x + (-7(x) + (-7)(-5)}\)

\(\large\textsf{x(x) = \bf x}\bf ^2\)

\(\large\textsf{x(-5) = \bf -5x}\)

\(\large\textsf{-7(x) = \bf -7x}\)

\(\large\textsf{(-7)(-5) = \bf 35}\)

\(\mathsf{x^2 - 5x -7x + 35}\)

\(\large\text{COMBINE the LIKE TERMS}\)

\(\mathsf{x^2 -(5x - 7x) + 35}\)

\(\mathsf{-5x -7x = \bf -12x}\)

\(\mathsf{x^2 - 12x + 35}\)

\(\boxed{\huge\text{Answer: \bf x}^2 \huge\text{\bf - 12x + 35}}\huge\checkmark\)

\(\large\text{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitirite1040:)}\)

Answer:

A

Step-by-step explanation:

A is the only one with (4,0) (1,-1) (0,0) and (-2,5)

Answer:

i think is the second one

The expression 2(x − 7) + 10 matches with two times the difference of x and seven plus ten. Option B is correct.

It is Given that Which phrase matches the algebraic expression 2(x − 7) + 10 is to be determined.

In mathematics, it deals with numbers of operations according to the statements.

Here, 2(x − 7) + 10

When we turn the above algebraic expression into word phrase,

"two times the difference of x and seven plus ten"

Therefore, the given algebraic expression 2(x − 7) + 10 matches with two times the difference of x and seven plus ten. Option B is correct.

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Answer:

66 cm³

Step-by-step explanation:

The volume (V) of the prism is calculated as

V = Ah ( A is the base area and h the perpendicular height )

A = \(\frac{1}{2}\) × 4 × 3 = 6 cm² ( Area of triangular base ) and h = 11

V = 6 × 11 = 66 cm³

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 6800\\ P=\textit{original amount deposited}\\ r=rate\to 2.7\%\to \frac{2.7}{100}\dotfill &0.027\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &16 \end{cases}\)

\(6800 = P\left(1+\frac{0.027}{4}\right)^{4\cdot 16} \implies 6800=P(1.00675)^{64} \\\\\\ \cfrac{6800}{(1.00675)^{64}}=P\implies 4420\approx P\)

Answer:

0

Step-by-step explanation:

Answer:

Zero

Step-by-step explanation:

Answer:

20 times

Step-by-step explanation:

8 . 10³ = 2³. 10³ = (2 X 10)³= 20³  using the rule ==> (m.n)ˣ = mˣ . nˣ

4 . 10² = 2².10² = (2 x 10)² = 20²

∴ 8 . 10³ is 20 times as large as 4 . 10²  

Answer:

20 times.

Skills needed: Cancelling out Like Terms, Division

Step-by-step explanation:

1) To find out "many times as large as" a number is, we utilize division.

2) Therefore we can divide the 1st expression by the 2nd expression

This is what we need to solve: \(\frac{8*10^3}{4*10^2}\)

Let's break it down into two parts: The left part, which is \(\frac{8}{4}\), and the right part, which would be \(\frac{10^3}{10^2}\).

The left part is really easy to solve out: \(\frac{8}{4} = 8 \div 4 = 2\)

3) The harder right part:

Now, we can evaluate \(10^3\) to be 1000, and \(10^2\) to be 100, and then divide, but that is not the most efficient method.

Let's use an exponent rule:

\(\frac{a^b}{a^c}=a^{b-c}\)

Let's use that for \(\frac{10^3}{10^2}\)

---> \(\frac{10^3}{10^2} = 10^{3-2} = 10^1=10\)

Therefore, the right part equals 10.

4) The final product is \(\text{left part} * \text{right part}\) = \(2*10=20\)

Therefore, 20 is the answer.

================================================================== Hope you understood, and have a nice day!

Answer:

C yes, one to one

Step-by-step explanation:

for every different value of age there is one specific function result.

f(age) = summer camp group, age in N, 6 <= age <= 8

this function is therefore not defined for ages outside of that interval, or if not natural numbers.

under these criteria every allowed value of age has a different calculated summer camp group. no two values of age have the same result as summer camp group.

therefore, it is a one-to-one function.