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julsineya [31]
3 years ago
10

7 times a number is equal to 12 more than three times the number. Find the number.

Mathematics
1 answer:
Sonja [21]3 years ago
6 0
7x=3x+12 
-3x  -3x
4x=12
x=3
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a fruit delivers its fruit in two types of boxes: large and small. a delivery of 3 large boxes and 5 small boxes has a total wei
Masteriza [31]

Answer:

The weight of a small box  = 13.5 kg

The weight of 1 large box = 18.5 kg

Step-by-step explanation:

Let us assume the weight of a small box = m kg

And the weight of 1 large box  = n kg

Now, the weight of 5 small box = 5 x (weight of 1 small box) =  5 m

Also, the weight of 3 large box = 3 x (weight of 1 large box) =  3 n

Here,   3 large boxes +  5 small boxes =  of 123 kilograms

⇒ 5  m + 3 n = 123   .... (1)

Again, the weight of 2 small box = 2 x (weight of 1 small box) =  2 m

Also, the weight of 12 large box = 12 x (weight of 1 large box) =  12 n

Here,   12 large boxes +  2 small boxes =  249 kilograms

⇒ 2 m+ 12 n = 249   .... (2)

Now, solving both the given equations by ELIMINATION, we get:

5  m + 3 n = 123     x (2)

2 m+ 12 n = 249     x (-5)

we get the new set of equitation as:

10 m + 6 n = 246

- 10 m - 60 n =  -1245

Adding both equation, we get

-54 n = 999

or, n = 18.5

Now, 5  m + 3 n = 123

So, 5 m = 123  -3 (18.5)  = 123 - 55.5 =  67.5

⇒  m = 13.5

Hence,  the weight of a small box = m kg = 13.5 kg

And the weight of 1 large box = n kg  = 18.5 kg

8 0
3 years ago
PLEASE HELP ASAP WILL MARK BRAINLIEST!!
Papessa [141]

Answer:

Prime.

Step-by-step explanation:

x^2-7x+8\\

First let's multiply our outer coefficients in this case 1 and 8, so we have 1x8=8.  Now the point of this is to get the factors of 8 and see if we can get that middle term -7.  Factors of 8 are 1x8, 2x4 and that's it.  From there I notice that -8+1 = -7 and so:

x^2-7x+8 = x^2-8x+x+8 = x(x-8)+(x+8)

Notice that the (x-8) and (x+8) are not the same factors, therefore the factors are not any of those answer choices and so it's prime.  You can calculate the factors by using the quadratic formula, however I think that is beyond the scope of this question.

7 0
3 years ago
a bowling alley charges $4.00 per game and will rent a pair of shoes for $2.00 for any number of games. The bowling alley has an
nekit [7.7K]

Answer:

We need 130 games to reach the goal

Step-by-step explanation:

3 0
3 years ago
3.8,3.789,3,3 41/50 from greastest to least
9966 [12]
3   3.789   3.8    3 41/50
is least to greatest

8 0
3 years ago
What is the image point of (-4, 8) after a translation right 4 units and up 2 units?
Vitek1552 [10]

Given:

Point = ( -4,8).

To find:

The image point of (-4, 8) after a translation right 4 units and up 2 units.

Solution:

We know that, if a figure translated 4 units right and 2 units up, then the rule of translation is

(x,y)\to (x+4,y+2)

The point is (-4,8).

Putting x=-4 and y=8, we get

(-4,2)\to (-4+4,8+2)

(-4,2)\to (0,10)

Therefore, the image of point (-4,8) is (0,10).

4 0
3 years ago
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