Answer:
4 units
Step-by-step explanation:
Answer:
Spelling word questions = 10
vocabulary word questions = 16
Step-by-step explanation:
Let
Spelling word questions = x
vocabulary word questions = y
Total points = 100
Total questions = 26
x + y = 26 (1)
2x + 5y = 100 (2)
From (1)
x = 26 - y
Substitute x = 26 - y into
2x + 5y = 100
2(26 - y) + 5y = 100
52 - 2y + 5y = 100
- 2y + 5y = 100 - 52
3y = 48
y = 48 / 3
= 16
y = 16
Substitute y = 16 into
x + y = 26
x + 16 = 26
x = 26 - 16
= 10
x = 10
Spelling word questions = 10
vocabulary word questions = 16
Answer:
a = 4,
b = 12
c = 10
d = 15
Step-by-step explanation:
Since the product of each column is equal, therefore,
b*5 = 60
b = 60 ÷ 5 = 12
c*6 = 60
c = 60 ÷ 6 = 10
Since the sum of each column are equal, therefore,
12 + 10 + a = 5 + 6 + d
22 + a = 11 + d
Think of a number you can add to 22, and another number you can add to 11, which will make both sides equal. Add both numbers, whenmultiplied together should give you 60.
Factors of 60 are:
(a, d)
(1, 60) => 22 + a = 11 + d => 22+1 = 11+60 (incorrect)
(2, 30) => 22 + a = 11 + d => 22+2 = 11+30 (incorrect)
(3, 20) => 22 + a = 11 + d => 22+3 = 21+20 (incorrect)
(4, 15) => 22 + a = 11 + d => 22+4 = 11+15 => 26 = 26 [CORRECT]
(5, 12) => 22 + a = 11 + d => 22+5 = 11+12 (incorrect)
(6, 10) => 22 + a = 11 + d => 22+6 = 11+10 (incorrect)
Therefore,
a = 4,
d = 15
Answer:
A. $27.23
B. $ 467.77
Step-by-step explanation:
5 1/2 % of commission = 5.5% = 0.055
A. Commission of the Sales person
0.055 x 495 = $27.23
B. The store will get $495 - the commission for the sales person
$495.00- $27.23= $467.77
Answer:
<em>68 degrees</em>
Step-by-step explanation
If <3 and <4 are vertical angles, then <3 = <4
This means that
9x + 5 = 5x + 33
9x - 5x = 33 - 5
4x = 28
x = 28/4
x = 7
Since <4 = 5x+ 33
<4 = 5(7) + 33
<4 = 35 + 33
<4 = 68 degrees
<em>Hence the measure of <4 is 68 degrees</em>