Answer:
Dasha has 52 roses
Step-by-step explanation:
Rewrite the first sentence in an equation: (D= Dasha) (A= Anna)
D=4A
Rewrite the second sentence in an equation:
A+39=D
1) Substitute A+39 as D in the first equation:
A+39=4A
2) Subtract A from both sides:
3A=39
3) Divide both sides by 3:
A=13
4) Now substitute 13 as A in the second equation:
13+39=D
5) Solve:
D=52
Answer:
See below
Step-by-step explanation:
11 box 1: 12
11 box 2: 101
12 box 1: 80
12 box 2: 80
12 box 3: 80
13 box 1: 16
13 box 2: 16
13 box 3: 76
20 = y + 12
20 - 12 = y + 12 - 12
8 = y
x + 2 = 19
x + 2 - 2 = 19 - 2
x = 17
z - 313 = 176
z - 313 + 313 = 176 + 313
z = 489
Answer:
1/24
Step-by-step explanation:
We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.
So we multiply 11 by 8, and get 88.Then we multiply 7 by 12, and get 84.
Next we give both terms new denominators -- 12 × 8 = 96.
So now our fractions look like this:
88
/96
-84
/96
Step 2
Since our denominators match, we can subtract the numerators.
88 − 84 = 4
So the answer is:
4
/96
Step 3
Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?
To find out, we try dividing it by 2...
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
4
/96
÷ 2 =2
/48
Let's try dividing by 2 again...
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
2
/48
÷ 2 =1
/24
Let's try dividing by 2 again...
No good. 2 is larger than 1. So we're done reducing. There you have it! The final answer is:
11
/12
-7
/8=1
/24
Answer:
11, 14, 17, 20
Step-by-step explanation:
An arithmetic sequence has a common difference d between consecutive terms.
Consider 2, 6, 18, 54
6 - 2 = 4, 18 - 6 = 12, 54 - 18 = 36 ← no common difference, not arithmetic
Consider 3, 6, 12, 24
6 - 3 = 3, 12 - 6 = 6, 24 - 12 = 12 ← no common difference, not arithmetic
Consider 11, 14, 17, 20
14 - 11 = 3, 17 - 14 = 3, 20 - 17 = 3 ← common difference of 3, so arithmetic
Consider 7, 11, 13, 18
11 - 7 = 4, 13 - 11 = 2, 18 - 13 = 5 ← no common difference, not arithmetic
The arithmetic sequence is 11, 14, 17, 20
