Answer:
35
Step-by-step explanation:
Since we know that 7 b is the equation and 5 is the value of b we can substitute b in 7 b.
b = 5
7 b = 7 × 5 = 35
Answer:
t = 0.002n
Step-by-step explanation:
You are given what t and n should be. Each kilogram will yield $0.002
The fourth graders raised 175 more than 1,000 for the local animal shelter.
First, let us identify the given.
- Target value to raise= 1,000
- Profit from bake sale= 465
- Profit from t-shirt sales= 710
How much money did the fourth graders raise? The sum of the profit from the bake sale and t-shirt sales determines the total money raised.
Total money= Profit from bake sale + Profit from t-shirt sales
Total money= 465 + 710
Total money= 1175
How much more than 1,000 have the fourth graders raised? This amount is equivalent to the difference between the total money raised and the target amount, 1,000.
Total money-target amount
1175-1000= 175
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Answer:
(x - 2)(5x + 3) = 0
Step-by-step explanation:
5x² - 7x - 6 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 5 × - 6 = - 30 and sum = - 7
The factors are - 10 and + 3
Use these factors to split the x- term
5x² - 10x + 3x - 6 = 0 ( factor the first/second and third/fourth terms )
5x(x - 2) + 3(x - 2) = 0 ← factor out (x - 2) from each term
(x - 2)(5x - 3) = 0 ← in factored form
When we simplify (3 + √5)(3 + √2), the result obtained is:
9 + 3√2 + 3√5 + √10
<h3>Surd operation </h3>
a√b × c√d = (a × c)√(b × d)
<h3>How to simplify (3 + √5)(3 + √2)</h3>
(3 + √5)(3 + √2)
Expand by clearing the bracket
3(3 + √2) + √5(3 + √2)
9 + 3√2 + 3√5 + √10
Thus,
(3 + √5)(3 + √2) = 9 + 3√2 + 3√5 + √10
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