Answer:
The cost of one rose is $11., and the cost of one geranium is $5.
Step-by-step explanation:
The cost of one rose bush and one geranium can be determined by the use of simultaneous equation. Let the cost of a rose bush be represented by x, and the cost of one geranium by y.
So that,
13x + y = 148 .............. 1
9x + 14 y = 169 ............... 2
From eqaution 1,
y = 148 - 13x ............... 3
substitute the value of y in equation 2
9x + 14(148 - 13x) = 169
9x + 2072 - 182x = 169
2072 - 169 = 182x - 9x
1903 = 173x
x = 
= 11
x = 11
substitute the value of x in equation 3
y = 148 - 13x
= 148 - 13(11)
= 148 - 143
y = 5
x = 11, y = 5
Thus, the cost of one rose is $11., and the cost of one geranium is $5.
There are 10 squares and each square is a meter
Answer: 112.5
Step-by-step explanation:
The question really is asking whats 45% of 250
1. Calculate 10% of the total
2. Calculate 5% of the total
3. Solve for 40% of the total
4. Add 5% of the total
1. 10% of 250
250 = 100%
*divide both sides by 10*
25 = 10%
2. 5% of 250
25 = 10%
*divide both sides by 2*
12.5 = 5%
3. 40% of 250
10% + 10% + 10% + 10% = 40%
25 + 25 + 25 + 25 = 40%
50 + 50 = 40%
100 = 40%
4. 45% of 250
100 = 40%
12.5 = 5%
100 + 12.5 = 40% + 5%
<em>112.5 = 45%</em>
Answer:
10 and 40
Step-by-step explanation:
Find the prime factorization of 10
10 = 2 × 5
Find the prime factorization of 40
40 = 2 × 2 × 2 × 5
Multiply each factor the greater number of times it occurs to find the LCM:
LCM = 2 × 2 × 2 × 5
LCM=40
Total number of marbles:
75 + 50 + 100 + 25 =
250
Probability of selecting a red marble:
25/250 (since 25 out of 250 marbles are red)
Since the top and bottom of this fraction are both divisible by 25, we can go ahead and divide them both by 25, simplifying to
1/10.
Probability of selecting a green marble:
50/250
Simplifies to 2/10
Simplifies to
1/5.
Probability of selecting a blue or orange marble
(75+100)/250
175/250
Simplifies to
7/10.
To find the probability that each event occurs in order, simply multiply them all together.
