the difference between 14 and another number is - 17.what are the possible numbers?​

Answer:

Proved

Step-by-step explanation:

Solving (a):

Let the numbers be: [tex]x, x + 1, x + 2.[/tex]

Their sum is:

[tex]Sum = x + x + 1 + x + 2[/tex]

Collect Like Terms

[tex]Sum = x + x + x + 1 + 2[/tex]

[tex]Sum = 3x + 3[/tex]

Divide sum by 3.

[tex]Result = \frac{Sum}{3}[/tex]

[tex]Result = \frac{3x+3}{3}[/tex]

[tex]Result = \frac{3(x+1)}{3}[/tex]

[tex]Result = x + 1[/tex]

Hence, this is true because there is no fractional part after the division

Solving (b):

Let the numbers be: [tex]x, x + 1, x + 2,x+3,x+4[/tex]

Their sum is:

[tex]Sum = x + x + 1 + x + 2+x + 3 + x + 4[/tex]

Collect Like Terms

[tex]Sum = x + x + x + x + x+1 + 2 + 3 + 4[/tex]

[tex]Sum = 5x+10[/tex]

Divide sum by 5.

[tex]Result = \frac{5x + 10}{5}[/tex]

[tex]Result = \frac{5(x + 2)}{5}[/tex]

[tex]Result = x + 2[/tex]

Hence, this is true because there is no fractional part after the division

Solving (c):

Let the numbers be: [tex]x, x + 1, x + 2,x+3[/tex]

Their sum is:

[tex]Sum = x + x + 1 + x + 2+x + 3[/tex]

Collect Like Terms

[tex]Sum = x + x + x + x + 1 + 2 + 3[/tex]

[tex]Sum = 4x+6[/tex]

Divide sum by 4.

[tex]Result = \frac{4x + 6}{4}[/tex]

Split

[tex]Result = \frac{4x}{4} + \frac{6}{4}[/tex]

[tex]Result = x + 1.5[/tex]

The 1.5 means that the sum can not be divisible by 4

Answer:

5 square root5

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

i did it on edge

The shortest possible length of the ladder if the top of it is 23 feet off the ground is 24 ft.

"It is a triangle in which one of the angle measures 90° "

"It is the longest side in the right triangle."

"In right triangle, a² + b² = c², where c is hypotenuse and a, b are other two sides of the right triangle."

"In right triangle for angle x, [tex]sin(x)=\frac{opposite~ side~ of~ angle~x}{hypotenuse}[/tex] "

For given question,

Consider the following figure.

In right triangle WXY, WX is 23 feet as a window screen is 23 feet above the ground.

WY represents the ladder.

that is the hypotenuse of right triangle WXY is the length of the ladder.

A ladder leans against a building and forms a 75 degree angle with the ground

⇒ ∠WYX = 75°

Consider the sine of ∠WYX .

[tex]\Rightarrow sin(75)=\frac{WX}{WY}\\\\ \Rightarrow 0.9659=\frac{23}{WY}\\\\ \Rightarrow WY=\frac{23}{0.9659}\\\\ \Rightarrow WY=23.81\\\\\Rightarrow WY\approx 24[/tex]

This means the hypotenuse WY is approximately 24 ft.

Therefore, the shortest possible length of the ladder if the top of it is 23 feet off the ground is 24 ft.

Learn more about the hypotenuse here:

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Answer:

The slope is two and the y-intercept is (0,1)

Answer:

C

Step-by-step explanation:

I THINK THAT IS THE ANSWER.

what do you need help with?

Answer:

247 cards

Step-by-step explanation:

Misha : Carlos = 9 : 4

Carlos = 76 cards

Misha = x cards

9 : 4 = x : 76

9/4 = x/76

Cross product

9 * 76 = 4 * x

684 = 4x

x = 684 /4

x = 171

Misha = 171 cards

how many cards do they have together?

Total cards altogether = Misha + Carlos

= 171 cards + 76 cards

= 247 cards

Total cards altogether = 247 cards

Step-by-step explanation:

(5√5)^(1-2x) = 1/5 * 125^(x-3)

(5^1.5)^(1-2x) = 5^(-1) * 125^x / 125^3

5^1.5 / 5^3x = 5^(-1) * 5^(3x) / 5^9

5^1.5 / 5^3x = 5^(3x) * 5^(-10)

5^(1.5 - 3x) = 5^(3x - 10)

=> 1.5 - 3x = 3x - 10

=> 6x = 11.5

=> x = 23/12.

Answer:

32

Step-by-step explanation:

My answer is 1.192 I hope this helps u

Answer:

9.622318872565011

Step-by-step explanation:

The square root of 2.4 is a very long decimal, but here it is: 1.549193338482967

And if you divide it by the reciprocal of 3, (which is 1/3) it would basically be multiplying by 3. So:

1.549193338482967 x 3= 4.6475800154489

Finally, divide it by 0.483:

9.622318872565011

Tip: you should use a calculator on questions like these.

9514 1404 393

Answer:

  [tex]\left[\begin{array}{ccc}-1&-1&3\\1&-2&-2\end{array}\right][/tex]

Step-by-step explanation:

The 270° CCW rotation is described by the transformation ...

  (x, y) ⇒ (y, -x)

That is, the first row of the transformed coordinate matrix is the same as the second row of the input matrix. The second row of the output matrix is the opposite of the first row of the input matrix.

  [tex]\left[\begin{array}{ccc}-1&-1&3\\1&-2&-2\end{array}\right][/tex]

Answer:

C

Step-by-step explanation:

First we need to find out y.

5y + 45 = 180 (angles on straight line)

y = 27

5y = 135

Then we could apply the angle sum of a pentagon to find out z.

90 + 5y + z + 82 + 135 = 180(5-2)

442 + z = 540

z = 98 i.e. C

Answer:

4.) 8%

5.)56%

6.)90%

10.)107%

11.)275%

12.)0.75%

13.)33/400

14.)30.5/100

15.)200/3

16.)62.5

17.)75%

Answer:

10 students

Step-by-step explanation:

Hi there!

To find the answer, we first know that 9/11 students attend tutoring.

If 55 are assigned, that means that 45/55 students showed up.

This is because 11 * 5 = 55, which means this can be solved fairly easily now.

Since we multiplied the denominator, 11, by 5, we have to do the same thing to 9.

9 * 5 = 45

Now we have 45/55. We know that 45 students out of the 55 that were assigned showed up, but its asking for how many did not show up, so we just subtract 45 from 55 to get 10.

10 students did not show up for tutoring.

I hope this helped!

Answer:

840lbs because that's how much

Answer:

880 pounds

Step-by-step explanation:

400 x 2.2 = 880

Answer:

Step-by-step explanation:

the slope intercept form is y= mx+b  so rearranged

2x+y = 3 ; subtract 2x from both sides

2x-2x +y = -2x+3

y= -2x +3

Answer:

gym a and b charge the same

Step-by-step explanation:

5 mins x 12 = 60 mins o.75 x 12 = 9

Answer:

Gym B and Gym A charge the same hourly rate for childcare.

Step-by-step explanation:

$0.75 per 5 minutes

$9.00 per haur

5 × 12 = 1 haur

$0.75 × 12 =$9.00

Answer:

y=x-3

Step-by-step explanation:

Answer:

59

Step-by-step explanation:

62+59= 121

180-121= 59

Answer:

m<1 = 121

Step-by-step explanation:

59 + 62 = 121

180 - 121 = 59

180 - 59 = 121

Answer: $420

Step-by-step explanation:

The monthly payment has both an interest component and a principal repayment component.  

The interest component is based on the total loan amount(principal) still due at the time and the principal repayment component will be the rest of the payment.

First convert the interest rate to a monthly interest rate as the payments are done monthly:

= 6%/12

= 0.5%

Interest = Principal remaining * interest rate

= 84,000 * 0.5%

= $420

Answer:

420

Step-by-step explanation:

Answer:

There are total 4400 workers

Process is in photo...

The total number of workers if, In a​ company, 90​% of the workers are women, If 440 people work for the company who​ aren't women is 4400.

As it is clear from the term per-cent means measuring anything per hundred. For example, you get marks per 100 marks, so you get the percentage.

Given:

In a​ company, 90​% of the workers are women,

If 440 people work for the company who​ aren't women,

Calculate the percentage of people who aren't women as shown below,

The percentage of people who aren't women = 100% - the percentage of women

The percentage of people who aren't women = 100% - 90%

The percentage of people who aren't women = 10%

Assume that there are a total of x workers then according to the statement,

10% of x = 440

10 / 100 × x = 440

x = 440 × 100 / 10

x = 4400

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Answer:

Y intercept: 1

Slope: -1/3

Equation would be y=-2/3x+1

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

6x=2x+68

6x-2x=68

4x=68

x=17

Answer:

17 or 16

Step-by-step explanation:

you will get 16 but if you round it then it's 17

Answer:

36.

Step-by-step explanation:

plug in the numbers. height=constant/width

height=18

width=2

18=×/2

18×2=36 or 36/2=18

Answer:

The slope is 3. Thats what my friend said

Step-by-step explanation:

Answer:

x=-12

Step-by-step explanation:

Solve for  x by simplifying both sides of the equation, then isolating the variable.

Answer:

ifyiohdihw5;goish;5iyhw;lij5yp'owk5yjw6iyjhge5g.liejh.lijs4l5yjwe4il5jywo4j5

Step-by-step explanation:

;orihwuklh5tijw/i6yji5yjitkyn5kkt;elfojyjhk;tmghl

Answer:

x is greater than or equal to 42 inches (I can't do the smybol for it)

Step-by-step explanation: