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Anika [276]
3 years ago
14

Four times the larger of two consecutive even integers is ten less than the smaller. What is the larger of these two numbers?

Mathematics
1 answer:
anygoal [31]3 years ago
7 0

Answer:

-4 is the larger integer

Step-by-step explanation:

n = smaller integer

n + 2 = larger integer

4(n+2) = n-10

4n + 8 =  n - 10

3n + 8 = -10

3n = -18

n = -6

n+2 = -4

You might be interested in
7. Write the equation of a line which passes through the points (-3,5) and (6,23)
faust18 [17]

Answer:

answer to the equation is

y = 2x + 11

Step-by-step explanation:

y = mx + b

first find the slope of the line using the two points

slope \: m =  \frac{y2 - y1}{x2 - x1}  =  \frac{23 - 5}{6 - ( - 3)}   \\ =  \frac{18}{9}  \\ slope \: m = 2

substitute 2 for m and use one of the points for x and y and solve for b

5 = 2( - 3) + b \\ 5 =  - 6 + b \\ 5 + 6 = b \\ b = 11

Now that you found b, the y-intercept, you can substitute that into the equation for your line

y = 2x + 11

7 0
2 years ago
One leg of a 45°-45°-90° triangle measures inches. What is the length of the hypotenuse?
Alika [10]

Answer:

each leg of the right triangle = 12√2

Step-by-step explanation:

6 0
3 years ago
The equations of three lines are given below. Line 1: =3y+−2x7 Line 2: =y−−23x4 Line 3: =+4x6y−6
valkas [14]
I don't understand what you want solved for here...could you please tell me?

6 0
3 years ago
7 freshmen, 9 sophomores, 8 juniors, and 8 seniors are eligible to be on a committee.
Setler79 [48]

Answer:

i)32C16

ii)1185408

<em><u>Explanation</u></em><em><u>:</u></em>

i)Total number of selected/eligible is 7+9+8+8=32

Total ways of selecting dance committee of 16 is

<em><u>3</u></em><em><u>2</u></em><em><u>C</u></em><em><u>1</u></em><em><u>6</u></em>

ii)Total ways of selecting 3 seniors from 8 is 8C3

and Total ways of selecting 6 juniors from 8 is 8C6

ways of selecting 2 sopho from 9 is 9C2

ways of selecting 5 freshman from 7 is 7C5

now, total way of selection come to be

8C3×8C6×9C2×7C5

=56×28×36×21

=1185408

✌️

6 0
3 years ago
An object that weighs 5 pounds on earth will weigh 2 pounds on mercury. The Statue of Liberty weighs 2,250 pounds. What would it
murzikaleks [220]

2/5=x/2250

2250x2=4500

4500/5=900 pounds

7 0
3 years ago
Read 2 more answers
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