M + (-9.5) = -7.8
First, simplify your brackets. / Your problem should look like:
Second, change addition to subtraction. / Your problem should look like:
Third, add 9.5 to both sides. / Your problem should look like:
Fourth, simplify. / Your problem should look like:
Answer:
m = 1.7
Answer:
It will take Jade (2x + 5) minutes
Step-by-step explanation:
Let us find the expression that represents the time Jade will take
∵ Binh takes x minutes to ride to his friend’s house
∴ The time Binh takes = x minutes
∵ 5 more means + 5
∵ Twice means × 2
∵ Jade takes 5 minutes more than twice as long as Binh to ride to their
friend’s house
→ Multiply the time Binh takes by 2 and add the product by 5
∵ Binh takes x minutes
∴ The time Jade takes = 2 × x + 5
∴ The time Jade takes = 2x + 5 minutes
∴ It will take Jade (2x + 5) minutes
Answer:
$73.60
$345
simple interest = amount deposited x time x interest rate
600 + (600 x 0.055 x 5) = $765
600 + (600 x 0.055 x 5) > $2000
$765 $2000
He would not have $2000 in 5 years
Step-by-step explanation:
Total cost of items purchased = $75 + (2 x $8.50) = 92
If there is a 20% discount, he would pay (100 - 20%) 80% of the total cost =
0.8 x $92 = $73.60
commission earned = percentage commission x amount of sales
10% x $3450
= 0.1 x 3450 = 345
Amount he would have in his account = amount deposited + simple interest
simple interest = amount deposited x time x interest rate
600 x 0.055 x 5 = $165
Amount in his account in 5 years = $165 + 600 = $765
He would have less than $2000 in his account. he would have $765
Answer:
When we have 3 numbers, like:
a, b and c.
Such that:
a < b < c.
These numbers are a Pythagorean triplet if the sum of the squares of the two smaller numbers, is equal to the square of the larger number:
a^2 + b^2 = c^2
This is equivalent to the Pythagorean Theorem, where the sum of the squares of the cathetus is equal to the hypotenuse squared.
Now that we know this, we can check if the given sets are Pythagorean triples.
1) 3, 4, 5
Here we must have that:
3^2 + 4^2 = 5^2
solving the left side we get:
3^2 + 4^2 = 9 + 16 = 25
and the right side:
5^2 = 25
Then we have the same in both sides, this means that these are Pythagorean triples.
2) 8, 15, 17
We must have that:
8^2 + 15^2 = 17^2
Solving the left side we have:
8^2 + 15^2 = 64 + 225 = 289
And in the right side we have:
17^2 = 17*17 = 289
So again, we have the same result in both sides, which means that these numbers are Pythagorean triples
