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Kipish [7]
3 years ago
11

Twice the sum of a number and 2 is equal to three times the difference of the number and 7 Find the number.

Mathematics
1 answer:
romanna [79]3 years ago
4 0

Answer:

X=13

Step-by-step explanation:

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The measure of an angles suppliment is 53° more than twice that of its compliment. find the angle.
Anettt [7]
(180-x)-2(90-x)= 53
Remember that complimentary angles add to 90 and supplementary angles add to 180.

180-x-180+2x=53
x=53

Final answer: The angle is 53 degrees.
3 0
3 years ago
Write in point-slope form an equation of the line that passes through the given point and has the given slope.
andre [41]

The point-slope form:

y-y_1=m(x-x_1)

3. (4, -2); m = 1/4

y-(-2)=\dfrac{1}{4}(x-4)\\\\\boxed{y+2=\dfrac{1}{4}(x-4)}

4. (-3, 5); m = -4/3

y-5=-\dfrac{4}{3}(x-(-3))\\\\\boxed{y-5=-\dfrac{4}{3}(x+3)}

5. (2, 2); m= - 1

\boxed{y-2-(x-2)}

6. (-1, -5); m = 4

y-(-5)=4(x-(-1))\\\\\boxed{y+5=4(x+1)}

5 0
3 years ago
Find two numbers such that their product, sum and difference are in the ratio 5:4:1'
wel

Answer:

3 1/3 and 2

Step-by-step explanation:

Let the numbers be x and y  and let z be the constant of proportion. Then

xy = 5z  ...............(1)

x + y = 4z ...........(2)

x - y = z ..............(3)     Adding (2) and (3)

2x = 5z

x = 5z/2   ................(4)

Substituting for x in equation 1:

5z/2 *  y = 5z

y = (5z * 2) / 5z = 2.

Substituting for  y in equations (2) and (3):

x + 2 = 4z

x - 2 = z            Subtracting:

4 = 3z

z = 4/3.

Substituting for z in equation (4)

x =  5(4/3) /2

x = 20/6 = 10/3 = 3 1/3.

So the 2 numbers are  3 1/3 and 2.

Checking the results:

xy = 2 * 10/3 = 20/3 = 5 * 4/3 = 5z

x + y = 10/3 + 2 = 16/3 = 4 * 4/3 = 4z.

x - y = 10/3 - 2 = 4/3 = z.

7 0
3 years ago
You are making identical gift bags using 24 candles and 36 bottles of lotion. What is the greatest number of gift bags you can m
xenn [34]

Answer:

12

Step-by-step explanation:

The highest common factor between 24 and 36 is 12.

24: 2 * 2 * 2 * 3

36: 2 * 2 * 3 * 3

They both have two 2s and one 3.

in each of the 12 bags, you would put 2 Candles and 3 bottles of lotion. Doesn't look right, but it is.

7 0
3 years ago
What is the answer to the question my dudes?
Anvisha [2.4K]

C.) 15x + 150 <u><</u> 400; 16 people

<u>source:</u>

https://www.you(Del This Bit)tube.com/watch?v=oHg5SJYRHA0

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3 years ago
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