Answer:
59
Step-by-step explanation:
The equation is
944 - 5x = 1180 - 9x
Notice what is being said. You start with 944 gallons and take off 5 per week
You also start with 1180 gallons and take on 9 per week.
You want to know when the two are equal. The second tank is larger, but it leaks more. That's what's going to bring about equality.
Add 9x to both sides
944 - 5x + 9x = 1180
944 + 4x = 1180
Subtract 944 from both sides.
4x = 1180 - 944
4x = 236
Divide by 4
x = 236/4
x = 59 weeks
Answer:
2 quarters and 15 dimes
Step-by-step explanation:
15 dimes = $1.50
2 quarters = $0.50
$1.50+$0.50=$2.00
The reason how the expression are equivalent given below:
<h3>What is Distributive Property?</h3>
Multiplying a number by a sum or difference is the same as multiplying by each number in the sum or difference and then adding or subtracting.
The Complete question is:
How can you use distributive property to write an expression equivalent to the one given above? Use reasoning to explain how you know the expressions are equivalent.
Distributive property represents distribute the outside number among the number or digits in parenthesis.
For Example: Solve the expression 7(20 + 3) using the distributive property of multiplication over addition.
When we solve the expression 7(20 + 3) using the distributive property,
we first multiply every addend by 7.
This is known as distributing the number 7 amongst the two addends and then we can add the products.
This means that the multiplication of 7(20) and 7(3) will be performed before the addition.
Hence, 7(20) + 7(3) = 140 + 21 = 161.
Learn more Distributive Property here:
brainly.com/question/5637942
#SPJ1
Answer:
60
Step-by-step explanation:
the lowest where they all = the same is 60
Find all the prime factors of the three numbers. pick up the common factors, ONCE, then pick up the non-common factors one by one, multiply the factors, the product is the least common factor.
example: the least common multiple of 6, 8, and 15
6=2*3
8=2*2*2
15=3*5
Note: do not write 8 into 4*2, because 4 is not a prime number. you have to break the number down to prime factors only.
Notice that 6 and 8 have a common factor 2, so pick up the 2;
6 and 15 have a common factor of 3, so pick up the 3.
those are the only two shared factors, so 2×3
now pick up whatever is not shared:
the two 2s for 8 and the 5 for 15 is not shared, add 2, 2, and 5 to the multiplication: 2×3×2×2×5=120
120 is the least common multiples of 6,8, and 15
this is basically how it is done. I believe you can explain better in your own words.
