Solve the equation.
3y + 4(y - 6) = 8y - 3(y - 10)
TERE
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The solution is
(Simplify your answer.)
B. The solution is all real numbers.
O C. There is no solution.

(Answer quickly)

Answer:

1. $250,000× 6,5%= $16,250

$310,000×6,5% = $20,150

therefore $16,250+$20,150=$21,800

2

991,000 times ×$1,09×15% = $162,028.5

Step-by-step explanation:

3. $8,870×25%=$2217,50

Answer:

The time passed between 8:15 to 2:30 is 6 hours 15 minutes.

Answer:

A solid is a form of matter characterized by a particular shape that also has volume. A liquid, on the other hand, has volume but no exact shape, taking the shape of its container. The molecules in solid matter are compressed as its molecules are closely bound together and can only vibrate.

When a function is plotted, the domain and the range of the function are the x-coordinate and the y-coordinate respectively. The domain and range of the assumed function for Melissa's garden are: [tex]x = (2,\infty][/tex] and [tex]p(x) = (0,\infty][/tex], respectively.

The function for Melissa's garden is not given. So, I will give a general explanation to calculate domain and range.

The domain is all possible values the independent variables of a function can take while the range is all possible values the dependent variables of a function can take

Assume the function of Melissa's garden is:

[tex]p(x) = x(x - 2)[/tex]

Start by equating the function to 0

[tex]x(x - 2) = 0[/tex]

Split

[tex]x = 0\ or\ x - 2 = 0[/tex]

Solve

[tex]x = 0\ or\ x = 2[/tex]

The above values of x will give [tex]p(x) = 0[/tex]

Because it is a garden, the length of the garden cannot be 0 or less.

So, the domain of the function is:

[tex]x = (2,\infty][/tex]

This means that the domain starts from a value greater than 2 (e.g. 3) and ends at infinity

To calculate the range, we substitute [tex]x = (2,\infty][/tex] in the function

[tex]x = 2[/tex] means

[tex]p(2) = 2 \times ( 2- 2) = 0[/tex]

[tex]x = \infty[/tex] means

[tex]p(2) = \infty \times (\infty- 2) = \infty[/tex]

So, the range of the function is:

[tex]p(x) = (0,\infty][/tex]

This means that the domain starts from a value greater than 0 (e.g. 1) and ends at infinity

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Answer:

The range is 0, infinity and the domain is 0,12

Step-by-step explanation:

Answer:

Modeling with Linear Equations

In this section, you will use algebra to solve problems that occur in real-life situations. The process of translating phrases or sentences into algebraic expressions or equations is called

Answer:

Modeling with Linear Equations

In this section, you will use algebra to solve problems that occur in real-life situations. The process of translating phrases or sentences into algebraic expressions or equations is called

Step-by-step explanation:

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Answer:

2√(17) or about 8.2462 units.

Step-by-step explanation:

We want to determine the distance between the two points (-10, -7) and (-8, 1).

We can use the distance formula. Recall that:

[tex]\displaystyle d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Substitute and evaluate:

[tex]\displaystyle \begin{aligned} d &= \sqrt{((-10)-(-8))^2 + ((-7) - (1))^2} \\ \\ &=\sqrt{(-2)^2+(-8)^2} \\ \\ &= \sqrt{(4) + (64)} \\ \\ &= \sqrt{68}\\ \\ &= 2\sqrt{17}\end{aligned}[/tex]

Hence, the distance between (-10, -7) and (-8, 1) is 2√(17) units or about 8.2462 units.

[tex] \qquad \qquad\large\rm{Together \: We \: Go \: Far!} \\ \qquad \qquad \sf \small{\red{♡}\:Swifties\:\red{♡}}[/tex]

Question :-

Answer :-

[tex] \rule{200pt}{3pt}[/tex]

Solution :-

As per the provided information in the given question, we have been given that:

To calculate the distance between the two points, we will apply the formula below:

[tex] \bigstar \: \: \: \boxed{ \sf{ \: \: d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \: \: }}[/tex]

Substitute the given values into the above formula and solve for d:

[tex]\sf:\implies{ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}}[/tex]

[tex]\sf:\implies{d = \sqrt{[-8 - (-10)]^2 + [1 - (-7)]^2}}[/tex]

[tex]\sf:\implies{d = \sqrt{(2)^2 + (8)^2}}[/tex]

[tex]\sf:\implies{d = \sqrt{4 + 64}}[/tex]

[tex]\sf:\implies\bold{d = \sqrt{68} \approx 8.2462 \: units}[/tex]

Therefore :-

[tex]\\[/tex]

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Answer:

The values of the trigonometric functions of t

[tex]$\sin t=-\frac{\sqrt{3} }{2}[/tex]

[tex]\cos t=\frac{1}{2},[/tex]

[tex]\tan t=-\sqrt{3}[/tex]

[tex]$\csc t-\frac{2}{\sqrt{3} }[/tex]

[tex]\sec t=2[/tex]

[tex]\cot t=\frac{1}{\sqrt{3} }[/tex]

Step-by-step explanation:

Given:

[tex]\sec(t)=2[/tex]

The terminal point of [tex]t[/tex] is in Quadrant [tex]IV[/tex]

Step 1:  

To find the values of trigonometric functions of t

[tex]\sec(t)=\frac{H}{A}[/tex]

[tex]=\frac{2}{1}[/tex]

Analyze the figure and find the value of O

[tex]t[/tex] ∈ [tex]IV[/tex]

[tex]O=\sqrt{2^{2}-1^{2} }[/tex]

[tex]=\sqrt{4-1}[/tex]

[tex]=\sqrt{3}[/tex]

Step 2:

[tex]$\sin t=-\frac{O}{H}[/tex]

[tex]=-\frac{\sqrt{3} }{2}[/tex]

[tex]\cos t=\frac{A}{H}[/tex]

[tex]=\frac{1}{2}[/tex]

[tex]\tan t=-\frac{O}{A}[/tex]

[tex]=-\sqrt{3}[/tex]

[tex]$\csc t=-\frac{H}{O}[/tex]

[tex]=-\frac{2}{\sqrt{3} }[/tex]

[tex]\sec t=\frac{H}{A}[/tex]

[tex]=\frac{2}{1}[/tex]

[tex]\cot t=-\frac{A}{O}[/tex]

[tex]=\frac{1}{\sqrt{3} }[/tex]

Learn more about trigonometry functions, refer:

Step-by-step explanation:

Solution

Given:

9x4−4x2+4 divided by 3x2−4x+2

To find:

Quotient and remainder

Solution:

Consider,

                           3x2+4x+2

3x2−4x+2 )9x4−4x2+4

                          9x4+6x2−12x3

                                    12x3−10x2+4

                                    12x3−16x2+8x

                                               6x2−8x+4

                                               6x2−8x+4

                                                               0

From the above long division,

Quotient=3x2+4x+2

Remainder=0

The answer is 2.5

Step-by-step explanation:

Formula = (N + 1 / 2th) term

So,

Total numbers (N) = 4

Now,

(N + 1 / 2th) term

= (4 + 1 / 2th) term

= (5 / 2th) term

= (2.5th) term

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Answer:

-6 and 1

Step-by-step explanation:

-6*1=-6

-6+1=-5

Answer:

4.2

Step-by-step explanation:

3.5 x 1.2 = 4.2

Answer:

3.5 x 1.2 = 4.2

Step-by-step explanation:

Answer:

41

Step-by-step explanation:

Answer:

41

Step-by-step explanation:

21 + 17⋅2 − 15 + 1

=> 21 + 34 - 15 + 1

=> 55 - 15 + 1

=> 40 + 1

=> 41

Answer:

252 Inches cube

Step-by-step explanation:

So for this question you need to find the area of cross section which is the H,

2 Times (3 Inches by 7 Inches) {The 2 same shape}

+

3 Inches by 7 Inches {The middle shape}

For the H Shape = 63 Inches Square

Then you'll time the lenght which is given 4 Inches

63 Inches square ×4 Inches

252 Inches Cube

The volume of this shape will be 252 Inches cube

Hope this helps dont hesitate to ask any question!!

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Answer:

Rational

Step-by-step explanationRational interger:

6 3/4 per hour or, in an hour

2 1/4 miles in 3/4 of an hour

2 1/4 miles = 9/4 miles in 1/3 of hour

9/4 miles divided by 1/3 hr

9/4 ÷ 1/3

Remember: Keep, Change Flip

9/4 x 3/1 = 27/4

Simplify:

27/4 = 6 3/4

So,

6 3/4 in one hour

I hope this helps!

Answer:

ten thousands place

Step-by-step explanation:

10,000 × 10 = 100,000

Answer:

Step-by-step explanation:

Keep in mind we read graphs from left to right just like how we read and write.

We can use those tips to solve the problem.

Option A:

4/5 is a positive slope so it will rise from left to right.

Option B:

No slope automatically means "undefined" so that falls in the definition of a vertical line.

Option C:

A slope of 0 is defined as a horizontal line.

Option D:

-4/5 is a negative slope so it will fall from left to right.

Best of Luck!

Answer:

10

Step-by-step explanation:

So you start with

0.10x+0.25(24-x)=4.50

First you do the parenthesis

.25x24 is 6.

So

.10x+6-.25x=4.5

Combine like terms

-.15x+6=4.5

Now isolate the x so you can find what x is

4.5-6

-.15x=-1.5

Then divide

-1.5/-.15

The two negatives make it positive

So 1.5/0.15

Comes to 10.

x=10

The 10 comes like this .15 is 15/100

Simplify that to 3/20

1.5 is 15/10

Simplify that to 3/2

Then divide those

3/2 ÷ 3/20

You cant divide fractions so flip the other side and multiply

3/2 × 20/3

60/6

10

Hope this helps

Answer:

x = 10

Step-by-step explanation:

[tex]0.10x + 0.25(24 - x) = 4.50[/tex]

[tex]0.1x + 6 - 0.25x = 4.5[/tex]

[tex] - 0.15x + 6 = 4.5[/tex]

[tex] - 0.15x = - 1.5[/tex]

[tex]x = 10[/tex]

Answer:

[tex] \frac{5(x - 3) - 3(2x + 4)}{9} \\ \\ \frac{5x - 15 - 3(2x + 4)}{9} \\ \\ \frac{5x - 15 - 6x - 12}{9} \\ \\ = \frac{ - x - 27}{9} [/tex]

Answer:

0

Step-by-step explanation:

The * means multiplication where the ^ means exponents, so you multiply in this case.

-6 * -6 = 36

Two negatives equals a positive.

PEMDAS shows that multiplication and division occurs first so...

7 * -6 = -42

36 + -42 + 8

-8 + 8

= 0

You can search it up to see what PEMDAS is.

Answer:

59÷4

you will find the answer

Answer:

7 - 2 = 5

Step-by-step explanation:

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Fun Fact: The hagfish is the only animal that has a skull but no spine.

The radius r = 3 in

Area of circle = πr² = 3.14*3*3= 28.26 in²

Answer:

x = 5

Step-by-step explanation:

4(x - 3) = 8

=> x - 3 = 8/4

=> x - 3 = 2

=> x = 2 + 3

=> x = 5

Answer: the third option I believe

Step-by-step explanation:

Answer:

19−−√ 4.4

23−−√ 4.8

37−−√ 6.1

Step-by-step explanation:

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The value of the radical expressions is given below:-

√19 = 4.4

√23 = 4.8

√37 = 6.1

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The radical expression is one in which all the numbers are represented in the form of the roots.

The given expressions are √19,√23, and √37. The value of the radical expressions are given below:-

√19 = 4.4

√23 = 4.8

√37 = 6.1

Therefore, the answers are given above.

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Answer:

25/32

Step-by-step explanation:

First you want to simplify the fractions. So, 20/32 would be 5/8, and 25/20 would be 5/4. Next, you want to multiply both the numerator and denominator. So, 5x5 is 25 for the numerator, and 8x4 is 32 for the denominator, leaving you with 25/32 for the answer.

Answer:

[tex] \frac{25}{32} x[/tex]

Step-by-step explanation:

[tex] \frac{20}{32} x \times \frac{25}{20} [/tex]

[tex] \frac{1}{32} x \times 25[/tex]

[tex] \frac{25}{32} x[/tex]

Answer:

Mean>Median

Step-by-step explanation:

A right skewed distribution with no outliers will have it's mean value greater than the median ( mean > median)

A distribution is said to be right skewed if it's peak is to the left such that it has a long tail to the right.

Conversely, a distribution with it's peak to the right such that it has a long tail is said to be left skewed.

Using the analogy of a boxplot, a right skewed distribution will have it's box to the left and a longer whisker to the right. This means that the median point which is the vertical line in between the box will be lesser than the mean value.

Median < mean = mean > median

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9514 1404 393

Answer:

  A. the solution is x = -72

Step-by-step explanation:

Eliminating parentheses gives ...

  5x +40 = 4x -32

  x = -72 . . . . . . . . . . . subtract (4x+40)

There is one solution: x = -72.