Hello!
To solve each expression, you need to substitute the given value for each given variable. If there is an <em>x</em> in the expression, then you substitute 5.07. If there's a <em>y</em>, then you substitute 1.5, and if there's a <em>z</em>, then you substitute 0.403.
7. 3.2x + y (substitute x = 5.07 and y = 1.5)
3.2(5.07) + (1.5)
16.224 + 1.5
17.724
8. yz + x (substitute y = 1.5, z = 0.403, and x = 5.07)
(1.5)(0.403) + (5.07)
0.6045 + 5.07
5.6745
9. z × 7.06 - y (substitute z = 0.403 and y = 1.5)
(0.403) × 7.06 - (1.5)
2.84519 - 1.5
1.34518
<u>Final answers</u>:
- Number 7: 17.724
- Number 8: 5.6745
- Number 9: 1.34518
I am guessing that is 1011? Just to be safe, I will do 4706*10 and 4706*1011.
4706*10: So, 4,706 times 10 is 47060
4706*1011: 4,706 times 1011 is 4757766
Standard notation is the normal way of writing numbers. So the answers I wrote are all in Standard notation.
Answer:
Because of the minus sign
2 becomes - 2
The answer is -2
Multiply a and 7
Multiply a and 1
The a just gets copied along.
The answer is a
a
7*a evaluates to 7a
Multiply b and 4
Multiply b and 1
The b just gets copied along.
The answer is b
b
4*b evaluates to 4b
7*a+4*b evaluates to 7a+4b
Multiply -2 by 7a+4b
we multiply -2 by each term in 7a+4b term by term.
This is the distributive property of multiplication.
Multiply -2 and 7a
Multiply 1 and a
The a just gets copied along.
a
-2 × 7a = -14a
Multiply -2 and 4b
Multiply 1 and b
The b just gets copied along.
b
-2 × 4b = -8b
-2*(7*a+4*b) evaluates to -14a-8b
Multiply c and 6
Multiply c and 1
The c just gets copied along.
The answer is c
c
6*c evaluates to 6c
The answer is -14a-8b-6c
-2*(7*a+4*b)-6*c evaluates to -14a-8b-6c
The final answer is
-14a-8b-6c
Step-by-step explanation:
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Answer:
There are 84 total boats.
Step-by-step explanation:
In order to find this, we first need to find the fraction which are red. We can do this by multiplying the whole by how many are not white.
1 * 1/4 = 1/4
Now we take that amount and multiply it by the amount that are not blue of the remaining.
1/4 * 3/7 = 3/28
Now that we have this, and we know this is 9 boats, we can divide 9 by this fraction and it will give us the total number of boats.
9 ÷ 3/28 = 84
