please help me!!!!!!

The given expression is

5m+3m + 3n - m + 6n + 8​

We would simplify the expression by collecting like terms.

The terms containing m are like terms

The terms containing n are like terms

8 is a constant

Thus, we have

5m + 3m - m + 3n + 6n + 8

7m + 9n + 8

The final expression is

7m + 9n + 8

Let's define the next variable:

t: number of toys that Quinn still needs to collect

The number of toys that he already collected plus the number of toys that Quinn still needs to collect is: 16 + t

Quinn needs to collect at least 90 toys, then 16 + t must be greater than or equal to 90, that is,

16 + t ≥ 90

or

90 ≤ 16 + t

Subtracting 16 at both sides, we get:

90 - 16 ≤ 16 + t - 16

74 ≤ t

7x + 2y = -8 Equation 1.

8y = 4x​ Equation 2.

We solve for y in eq. 2; as follows:

y = 4x/8.

Now we replace y on eq. 1:

7x + 2(4x/8) = -8

7x + x = -8

8x = -8

x = -8/8

x = -1

Finally we replace x on eq 2:

8y = 4(-1)

8y = -4

y = -4/8

y = -1/2

Explanation

The salary with regular pay rate is calculated as:

S is the salary, R is the regular pay rate and h is the number of hours worked.

The salary with over time is:

Because it pays double after 40 hours.

So the first 40 hours worked you'll get

The amount of overtime hours is 15 (55-40 = 15), so the overtime salary is:

The total Salary is the sum of the regular and the overtime salaries:

If the total salary was $840, then the regular pay rate R is:

Answer

Your regular pay rate is $12 / hour

The lines that are perpendicular to 3x – y = 10. is option C (x+3y= 27).

Line equation:

3x - y = 10

y = 3x - 10

here slope m = 3.

perpendicular line slope = -1/m = -1/3

so the perpendicular line must have slope m = -1/3

A.  

y = 3x + 5

here slope m = 3

This line is not the perpendicular to 3x - y = 10 because here slope not equal to -1/3.

B.

y = -13x + 17

here slope m = -13

This line is not the perpendicular to 3x - y = 10 because here slope not equal to -1/3.

C.

x + 3y = 27

3y = -x + 27

y = -1/3(x) + 27/3

y = -1/3(x) + 9

here slope m = -1/3

This line is perpendicular to the 3x - y = 10 because here slope is equal to -1/3.

D.

y - 2 = 13(3x+36)

y = 39x + 468 - 2

y = 39x + 466.

here slope m = 39.

So this line is not the perpendicular to 3x - y = 10 because here slope not equal to -1/3.

Therefore the lines that are perpendicular to 3x – y = 10. is option C (x+3y= 27).

Learn more about the perpendicular lines here:

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We have a right triangle and we have to write some of the trigonometric ratios.

A trigonometric ratio relates a trigonometric function of an angle of the tiangle with a quotient of two of the sides of the triangle.

The basic trigonometric ratios are:

We can also write the trigonometric ratio for the tangent:

Now, we can write sin(x):

The opposite side to X is YZ and the hypotenuse is XZ, so sin(X) = YZ/XZ = 12/15.

In the same way, we can calculate cos(x):

The tan(x) can be calculated as:

For Z, the opposite and adyacent angles are different than for X, so we can write:

Answer:

sin(X) = 12/15

cos(X) = 9/15

tan(X) = 12/9

tan(Z) = 9/12

x = 44

Note that:

Opposite angles of a cyclic quadrilateral are supplementary

m

mm

(3x + 10) + 38 = 180

3x + 10 + 38 = 180

3x + 48 = 180

3x = 180 - 48

3x = 132

x = 132/3

x = 44

The data that represent the number of flying saucers that are owned by each alien on planet nowhere is given below:

(a)We sort the data from the least to greatest below.

(b)The median is the middle number.

In this case, we have two numbers in the middle: 4 and 8

Therefore we find their average:

Answer:

6 is the correct answer.

Step-by-step explanation:

To find the domain of the rational function we need to equate the denominator to zero and solve the equation, as follows:

Then, all the x-values are valid except x = -14, which makes the denominator equal to zero. Therefore, the domain of R(x) is:

the equation will be

-x - y = 7

In order to calculate the rate of cups of flour to stick of butter, just calculate the following quotient:

(1 1/4)/(7/8) = (5/4)/(7/8) = 5·8/7·4 = 40/28 = 20/14 = 10/7

Hence, the required rate is 10/7 or 10:7

that is, 10 cups of flour for 7 sticks of buttter

9)

Let x represent the amount that she gets for 1/7 of a working day.

From the information given, she gets $35 for 1 working day. Thus, we can set up the equations as follows

35 = 1

x = 1/7

By crossmultiplying, we have

x = 35 x 1/7

x = 5

Ariel will earn $5 for working 1/7 of a day

f(x) = 5x²+10

Given the function g(x) expressed as:

If the function g(x) is translated vertically upward by 3 units to produce f(x), the resulting translation used will be given as:

Substitute the function g(x) into the translation rule to have:

Therefore the expression for f(x) is 5x²+10

In the picture we see that between 10 and 20 years old there are two rectangles . One goes to the 11% aproximately

the other rectangle reach 10% in the Y axis .

So then finally we have to add both percentages to obtain

10% + 11%= 21 %

21 percent are between ages 10 and 20 years old

Rebecca had $100

and each week, she add $45

Let the number of weeks is x

So, after x weeks, she will have y

y = 100 + 45x

See the following figure:

After 5 weeks, y = 100 + 45 * 5 = 325

============================================

After 1 week , y = 145

after 2 weeks , y = 190

after 3 weeks , y = 235

and so on

So, The savings account balance can be shown by a sequence.

The sequence will be: 145 , 190 , 235 , 280 , .......

The kind of this sequence will be arthimatic sequence , because there is a common defference between the terms of the sequence which = 45

You have the following equation:

4x - 3 = 2x + 5

In order to solve the previous equation, proceed as follow:

4x - 3 = 2x + 5 subtract 2x both sides

4x - 2x - 3 = 5 add 3 both sides

4x - 2x = 5 + 3 simplify like terms

2x = 8 divide by 2 both sides

x = 8/2

x = 4

Hence, the solution to the given equation is x = 4

ANSWER:

5

STEP-BY-STEP EXPLANATION:

The perfect square trinomial is given as follows:

Therefore, in this case would be:

Therefore the value of k is 5

One featue of the equation is that when c = 0

The other feature is that when v = 0

Therefore, our graph must contain the points (0, 13.33) and (20, 0), and looking at the graph given we see that it has exactly those points; hence, the graph represents the equation given

Current trees = 25

trees when workers are finished = 80

Subtract the number of current trees (25) to the number of trees that are when the workers are finished:

80-25 = 55

The workers planted 55 trees today

The expression is given

Simplify the expression

Hence the answer is

We will use the equivalency:

Then, if we have an area of 32 m^2, we can multiply this value by the equivalency factor we wrote (as it is equal to 1) as:

Answer: the area is 344.48 sq ft.

For Barazal and 6 persons the cost is $245

So, the number of persons = 7

so, the cost per person = 245/7 = $35

So

the guided tour cost per person = $35

Given:

Coordinates (-3 , 2), (6 , 2), (6 , -4), (-3 , -4)

Required:

Area and Parameter

Explanation:

Formula to find the distance between two points

Distance between (-3 , 2), (6 , 2) and (6 , 2), (6 , -4)

Final Answer:

SOLUTION:

Step 1:

In this question, we are given the following:

If two planes leave an airport at the same time with one flying west at 520 miles per hour and the other flying east at 540 miles per hour,

how long will it take them to be 3180 miles apart?

Step 2:

Let the distance of one of the planes flying west at 520 miles per hour be:

And let the distance of the other plane flying east at 540 miles per hour be:

where x , represents the time of flight in hours, such that:

CONCLUSION:

The time it will take them to be 3180 miles apart will be in 3 hours' time.

To solve this problem, consider the following picture

By the tangent secant segment theorem we have the following equation

Note that in our case, we have a=x, b=3 and c=9. So if we replace this values in the equation, we have

so, applying the square root on both sides, we get

Since x is a distance, it should be strictly positive, so we have that

Answer:

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Let the first term be a and common difference be d.

The explicit rule is a(n) = - 95 + 5 · (n - 1), whose recursive rule is [tex]a_{n+1}[/tex] = [tex]a_{n}[/tex] + 5. The 30th element of the arithmetic sequence is 50.

Arithmetic sequences are sets of elements generated by a formula of the form:

a(n) = a + r · (n - 1), for n ≥ 1

Where:

Please notice that the common rate is the difference between any two consecutive elements of the sequence. The recursive form is described by the following form:

[tex]a_{n+1}[/tex] = [tex]a_{n}[/tex] + r

Now we should determine the elements of the explicit rule by solving the following system of linear equations:

n = 18

- 10 = a + r · (18 - 1)

a + 17 · r = - 10

n = 40

100 = a + r · (40 - 1)

a + 39 · r = 100

Then, we solve the system of linear equations by numerical methods:

(a, r) = (- 95, 5)

And the 30th element of the arithmetic series:

a(n) = - 95 + 5 · (n - 1)

a(30) = - 95 + 5 · (30 - 1)

a(30) = 50

And the recursive form is [tex]a_{n+1}[/tex] = [tex]a_{n}[/tex] + 5.

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Answer

B) 8 or D) 17

Step-by-step explanation

Let's call x to one unknown number and y to the other number.

If one number is 9 more than another number, then:

Given that the sum of the numbers is 25, then:

Substituting equation 1 into equation 2 and solving for x:

Substituting x = 8 into the first equation:

Then, one of the numbers is 8 and the other one is 17

Given,

The principal amount is 20k.

The rate of interest is 8.3%.

The time period is 6 Years.

Required

The amount of investment after 6 years.

The amount is calculated as,

Hence, the amount after 6 years is 2000 x (1 + 0.083)^6.

Answer:

2 translation vectors.

Step by step explanation:

You have to move a rook from the green circle to the blue one.

Then you have to represent series of the translation vector

You should know that the tower only moves horizontally or vertically.

You first move it 4 blocks to the right

Then you move 4 blocks up.