One positive integer is 18 more than a second positive integer. If the sum of twice the greater and three times the smaller is 86, find the larger integer

Using the principle of trigonometry, the angle of depression, q can be expressed in terms of the horizontal distance, d as [tex]q = tan^{-1} [\frac{(d + 0.6)}{2.5}] [/tex]

Using Pythagoras :

Horizontal distance, d to shipwreck A is added to the distance between shipwrecks A and B to obtain the total horizontal distance

To obtain the angle of depression, q :

[tex] tan q = \frac{opposite}{adjacent}= \frac{total \: horizontal \: distance}{height} [/tex]

[tex] tan q = \frac{d + 0.6}{2.5} [/tex]

Therefore, q can be written in terms of d thus ;

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Given:

Fixed fee = $40

Additional fee = $15 per hour

To find:

The equation to represent Bob's cost to repair his refrigerator.

Solution:

Let y be the total cost for x hours.

Additional fee for one hour = $15

Additional fee for x hour = $15x

Total cost = Fixed fee + Additional fee

[tex]y=40+15x[/tex]

Therefore, the required equation is [tex]y=40+15x[/tex].

Answer:

70

Step-by-step explanation:

Answer: 14

Step-by-step explanation:

Well, we know that the formula to fugure out area is :Length times Width

We also know that WIdth is 24. So 24 times __ =5/8.

Now, how do you figure out __? Well, let's first replace that as a variable to make it easier. Let's choose: x   Now, we know that:

x * 24 = 5/8.

To figure out x, we need to do 5/8 divided by 24, right?  When you solve that, the answer would be 15. The closest is 14, so I think the answer is 14.

Answer:

x=2

Step-by-step explanation:

because if you put the equation as in x+11=6x+1  and do the equation you'll get x=2

Answer:

5 yards

Step-by-step explanation:

7y+3y=10yards

15yards-10yards=5yards

Answer:

-1

Step-by-step explanation:

m=y2-y1/x2-x1

-6-(-5)=(-1)

6-5=1

-1/1=(-1)

hope this helps :3

if it did pls mark brainliest

Answer:To get from this point to the y-intercept, we must move up 4 units (rise) and to the right 2 units (run). ... How To: Given a graph of linear function, find the equation to describe the function. ... This function has a slope of 2 and a y-intercept of 3. ... Notice that a vertical line, such as the one in Figure 15, has an x-intercept, but no

Step-by-step explanation:

The two numbers are: 21 and 11

Step-by-step explanation:

Let x and y be the two numbers.

x+y = 32

x-y = 10 Rewrite this as x = y+10 and substitute for x in the first equation.

(y+10) + y = 32 Simplify and solve for y.

2y+10 = 32 Subtract 10 from both sides.

2y = 22 Divide both sides by 2.

y = 11

x = y+10

x = 11+10

x = 21

Answer:

y = 11

Step-by-step explanation:

x + y = 32

10 + y + y = 32

10 + 2y = 32

2y = 22

y = 11

I think this is it plz don't get mad if it is wrong

Answer:

x=1.5

Step-by-step explanation:

Answer:

exact form x=7/4

decimal form x=1.75

mixed number form x=1 3/4

Step-by-step explanation:

Answer:

3.25

Explantion:

325/100 = 3.25

Answer:

4 m/s

Step-by-step explanation:

To find the average speed of the ball, divide the number of meters by the number of seconds:

8/2

= 4

So, the average speed of the ball is 4 m/s

Answer:

The 95% confidence interval for the true population mean of pollutant discharge is (26.7 tons, 33.7 tons).

Step-by-step explanation:

Let X represent the daily level of pollutant discharge in the manufacturing district in Pittsburgh.

The monitoring equipment reveals that for the 28 days of the February month

Mean daily discharge per factory, ([tex]\bar x[/tex]) = 30.2 tons

Standard deviation daily discharge per factory, (s) = 9.1 tons

Compute the critical value of t for 95% level of confidence and (n - 1 =) 27 degrees of freedom as follows:

[tex]t_{0.05/2, 27}=2.052[/tex]

*Use a t-table.

Compute the 95% confidence interval for the true population mean of pollutant discharge as follows:

[tex]CI=\bar x\pm t_{\alpha/2, (n-1)}\cdot\frac{s}{\sqrt{n}}[/tex]

     [tex]=30.2\pm 2.052\times\frac{9.1}{\sqrt{28}}\\\\=30.2\pm 3.53\\\\=(26.67, 33.73)\\\\\approx (26.7, 33.7)[/tex]

Thus, the 95% confidence interval for the true population mean of pollutant discharge is (26.7 tons, 33.7 tons).

Answer:

k = 21

Step-by-step explanation:

Answer:

1. Yes

2. Yes

3. No

Step-by-step explanation:

Given

Rectangle A:

[tex]Length = 12; Width = 8[/tex]

Rectangle B:

[tex]Length = 15; Width = 10[/tex]

Rectangle C:

[tex]Length = 30; Width = 15[/tex]

Solving (1): Is Rectangle A a scaled copy of Rectangle B?

To do this, we simply determine the ratio of the length and width of both rectangles;

i.e.

[tex]Ratio = \frac{A}{B}[/tex]

For Length:

[tex]Ratio = \frac{12}{15}[/tex]

[tex]Ratio = 0.8[/tex]

For Width:

[tex]Ratio = \frac{8}{10}[/tex]

[tex]Ratio = 0.8[/tex]

Since both ratios are the same, then this statement is true

Solving (2): Is Rectangle B a scaled copy of Rectangle A?

This is the inverse of (1) calculated above.

Since (1) is true, then (2) is also true

3. Is Rectangle A a scaled copy of Rectangle C?

To do this, we simply determine the ratio of the length and width of both rectangles;

i.e.

[tex]Ratio = \frac{A}{C}[/tex]

For Length:

[tex]Ratio = \frac{12}{30}[/tex]

[tex]Ratio = 0.4[/tex]

For Width:

[tex]Ratio = \frac{8}{15}[/tex]

[tex]Ratio = 0.53[/tex]

Since both ratios are the not same, then this statement is false

Answer:

Step-by-step explanation:

Lateral surface area of cube = 4a²

4a² = 400

   a² = 400÷4

  a² = 100

 a = √100 = √10*10

a = 10 cm

Total surface area = 6a²

                               = 6 * 10²

                               = 6* 100

                               = 600 cm²

Answer:

A

Step-by-step explanation:

I believe that I did this before.

Triangles LNM and SRT are similar, so corresponding angles are congruent. In particular, angles M and T are congruent. The interior angles of any triangle sum to 180º in measure, so

65º + 55º + (2x + 30)º = 180º

Solve for x :

(2x)º + 30º = 60º

(2x)º = 30º

x = 15

Answer:

5

Step-by-step explanation:

they are vertical angles

Answer:

5

Step-by-step explanation:

8 is the opposite and therefore the same angle across the line m

Answer:

12x + 10

Step-by-step explanation:

Combine the like terms. 4x + 2x and 2 + 3. Parallel sides, 6x times 2 which is 12x. 5 times 2 which is 10. Therefore, your answer is 12x + 10

Answer:

D.200.9 FT

Step-by-step explanation:

SHADOW: 46 = 110

Building:   /84.  /x

110*84=9240

9240/46= 200.86

rounded: 200.9

I do my math different, so sorry if it's confusing

Answer: 200.9

Step-by-step explanation: Im not 100 sure I just divided 200.9/110 like 84/46

Answer:

10 trips

Step-by-step explanation:

Let the number of trips to the gym be represented by t

Option A is to buy a membership card for $20 and pay $2 each time you go to the gym.

$20 + $2× t

20 + 2t

Option B is to pay $4 each time you go.

$4 × t

= 4t

After how many trips to the gym will the cost be the same?

Option A = Option B

20 + 2t = 4t

Collect like terms

20 = 4t - 2t

20 = 2t

t = 20/2

t = 10 trips.

After 10 trips, the gym cost will be the same.

Answer:

2316

Step-by-step explanation:

use a calculator

Answer:

0645+0745= 1390 but there are not 90 mins in an hour so you roll over 60 over those min to get 1430

2:30

explanation:

Answer:

D. -3 and 3

Step-by-step explanation:

We are given an output of 2. This means this is the value we need an input for. We need to find a number(s) that lie on the x axis and when we move up, you get an output of 2.

Option A:

If we are given an input of -2, we start at (-2, 0) and move up until we reach a point on the line. We end up lying on the point (-2, 3). Thus, the output for having an input of -2 is 3 which proves that this answer is incorrect.

Option B:

As stated above -2 has an output of 3 which is wrong. Since we know this, we can eliminate this as an option.

Option C:

If we are given an input of -3, we start at (-3, 0) and move up until we reach a point on the line. We end up lying on the point (-3, 2). Thus, the output for having an input of -2 is 2 which proves that this answer is correct.

Option D:

We know that -3 is a possible input so we just need to check 3 as an input.

If we are given an input of 3, we start at (3, 0) and move up until we reach a point on the line. We end up lying on the point (3, 2). Thus, the output for having an input of 3 is 2 which proves that this answer is also correct.

Since we know that -3 and 3 are possible inputs for an output of 2 on the graph, we need to include them both in our answer. Thus, the answer is D.

Best of Luck!

Answer:

Hope your having a great day.

Step-by-step explanation:

God Bless, and try not to stress to much about school your doing great :)

(4) / (2) + (-3)

4/2 - 3

4/2 - 3/1 ( 3/1 multiply by 2 to make denominators same ok )

4/2 - 6/2

-2/2 ( simplify )

-1 is the answer

Answer:

Price of a large soft drink = $3

Price of large bucket of popcorn = $4.5

Step-by-step explanation:

Let the cost of one large popcorn = $P

And the cost of one large soft drink = $S

If Daniela, Kieu and Cameron avail the deal of Three Go Free,

3P + 3S = 22.50

P + S = 7.5 -----(1)

Next time they each pay $8 for a ticket, they each get a large soft drink but they share one large bucket of popcorn.

This trip cost them = $37.50

Cost of 3 tickets + Cost of 3 large soft drinks + Cost of one large bucket of popcorn = 37.50

(3 × 8) + (3 × S) + P = 37.5

24 + 3S + P = 37.5

3S + P = 13.5 -----(2)

By subtracting equation (1) from equation (2),

(3S + P) - (P + S) = 13.5 - 7.5

2S = 6

S = $3

From equation (1),

P + 3 = 7.5

P = $4.5

Therefore, price of a large soft drink is $3 and a large bucket of popcorn is $4.5

Answer:

232 text messages

Step-by-step explanation:

108 - 50 = 58

[tex]58 \div .25[/tex]

232 text messages

Yw :)

Answer:76

Step-by-step explanation:

Answer:

Negative Infinity

Step-by-step explanation:

It is a negative slope, therefore as x moves towards positive infinity, y will move towards negative infinity.