The numbers are 105 and 50
<em><u>Solution:</u></em>
Let "x" be the first number
Let "y' be the second number
Twice a number plus twice a second number is 310
Therefore,
twice of x + twice of y = 310
2x + 2y = 310 ---------- eqn 1
The difference between the numbers is 55
x - y = 55 -------- eqn 2
<em><u>Let us solve eqn 1 and eqn 2</u></em>
From eqn 2,
x = 55 + y ------ eqn 3
<em><u>Substitute eqn 3 in eqn 1</u></em>
2(55 + y) + 2y = 310
110 + 2y + 2y = 310
4y = 310 - 110
4y = 200
<h3>y = 50</h3>
<em><u>Substitute y = 50 in eqn 3</u></em>
x = 55 + 50
<h3>x = 105</h3>
Thus the numbers are 105 and 50
Answer:
Step-by-step explanation:
LCM is least common multiple. It means the least multiple that both 100 and 120 have in common. 600 is the LCM. 20 is the GCF.
Answer:
(-3,1)
Step-by-step explanation:
To check if distances can be a triangle add the smaller two distances together. If the sum is larger (not equal to) than the longest distance then it is a possible side. For example, 2,2,4 or 1,2,5cannot be a triangle, 2,3, 4 can be a triangle because 2+3 is greater than 4.
Solutions
<span>Ivy has 4 tiles with pictures of plants and 5 tiles with pictures of animals. Ivy keeps all the tiles on a mat with the pictures hidden and mixes them up. She then turns one tile face up and finds the picture of a plant on it. She removes this tile from the mat and turns another over tile without looking. What is the probability that the second tile that Ivy turns over has a plant on it. To solve the problem the first step is to find out how many tiles are in total. Since one of the plant tiles were removed we have 3 left.
</span>
5 + 3 = 8
Now we find the percent by dividing 3 from 8. The top number is called the NUMERATOR<span> and the bottom number is called the </span>DENOMINATOR<span>.</span>
3 ÷ 8 = 0.375
0.375 x 100 = 37.5
Answer = <span>37.5%
</span>
= (A)
