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Viefleur [7K]
3 years ago
9

What set of numbers does -10 belong to

Mathematics
1 answer:
Step2247 [10]3 years ago
7 0

Answer:

Negative number

Step-by-step explanation:

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Hurry Quick, help me do this problem. I don't understand how to do this so please help! (Problem in photo)
matrenka [14]

Answer:

1) The system of equations is 5x+4y=75 and x+y=18

2) The first number is 3 and the second number is 15

Step-by-step explanation:

1) Let be "x" the first number and "y" the second number.

Remember that:

a- The word "times" indicates multiplication.

b- A sum is the result of an addition.

c- "Is" indicates this sign:  =

Then, the sum of 5 times "x" and 4 times "y" is 75, can written as:

5x+4y=75

And "The sum of the two numbers is 18" can written as:

x+y=18

Therefore, the System of equations is:

\left \{ {{5x+4y=75} \atop {x+y=18}} \right.

2) You can use the Elimination Method to solve it:

- Multiply the second equation by -5, add the equations and then solve for "y":

\left \{ {{5x+4y=75} \atop {-5x-5y=-90}} \right.\\......................\\-y=-15\\\\y=15

- Substitute the value of "y" into any original equation and solve for "x":

x+15=18\\\\x=18-15\\\\x=3

7 0
3 years ago
The length of a rectangle is 59 inches greater than twice the width. If the diagonal is 2 inches more than the​ length, find the
melamori03 [73]
The question is asking us to find the dimensions of the rectangle, which would be the length and width. So, to find this, we must first state our givens, as it is Geometry.
Given: Length of rectangle = 59 + twice the width, diagonal = 2 inches longer than the width

Let's first translate all our givens to numbers. We'll start off by assigning variables that are easy to work with (x, y and z). 
x = width
y = length
z = diagonal
Now that we have done that, we need to translate all our givens into numbers. Here is how that would look like:
y = 2x + 59      ←59 plus twice the width (x)
z = y + 2           ←Diagonal = 2 inches more than width
If we draw a diagram, we can see that the diagonal, length, and width all create a right triangle, which means that we can use the Pythagorean Theorem. By using right triangle postulates and theorems, we can deduce that the diagonal is the hypotenuse. Here is what our setup looks like:
x² + y² = z²
<em />Now, all we need to do is plug in the expressions we created for y and z:
x² + (2x + 59)² = [2 + (2x + 59)²]
When we solve for x, we get x = 20. Now, we just plug the x value back into the y equation to get 99. Therefore, the length equals 99 inches and the width equals 20 inches. Hope this helps and have a great day!
5 0
3 years ago
Please ASAP.
Flauer [41]

Answer:

2/3

Step-by-step explanation:

42/63 = 2/3

15/22.5 = 2/3

8 0
3 years ago
Read 2 more answers
1. - x + 5y =-23 4x - y = 16​
Contact [7]
6y=5x=39
Have a good day
8 0
3 years ago
Read 2 more answers
The O'Niell family decided to book a hotel for a trip to Orlando, FL from Saturday 6/3 through Friday 6/9. They decide to stay a
Citrus2011 [14]
Six nights.

1. Saturday night
2. Sunday night
3. Monday night
4. Tuesday night
5. Wednesday night
6. Thursday night
8 0
3 years ago
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