The number is 4.
<h3>What is the Quotient?</h3>
A quotient is defined as the outcome of dividing an integer by any divisor that can be said to be a quotient. The dividend contains the divisor a specific number of times.
Let n be the number in question; then, we can write the word problem as an equation like this:
⇒ (n/6) + 1/3 = 7/6
Multiply everything by the least common multiple of all the denominators (6, 3, 6), which is 6.
⇒ 6(n/6) + 9(1/3) = 6(7/6)
⇒ n + 3 = 7
Subtract 3 from both sides,
⇒ n = 4
Hence, the number is 4.
Learn more about the quotient here:
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Since you know what 4×5 is you just have to use the same answer
Answer:
Check explanations
Step-by-step explanation:
For all real numbers a,b, and c, the distributive property states that:
For Part A, we have
Or
For Part B, we have
-4(3x-10)+5(2-6x)=-4*3x--4*10+5*2-5*6x
This simplifies to:
-4(3x-10)+5(2-6x)=-12x+40+10-30x
-4(3x-10)+5(2-6x)=-12x-30x+40+10
-4(3x-10)+5(2-6x)=-42x+50
For the C part, we have:
For Part D, we have:
We simplify to get:
Simplify further to get:
Answer:
The answer is: 4,500,000 kilometers or in scientific notation: 4.5 x 10^6 kilometers.
Step-by-step explanation:
Multiply to get the answer:
300,000 * 15 =
4,500,000 km
In scientific notation: 4.5 x 10^6
We need to do a system of equations here.
x + y = 275 (if you travel <em>x</em> km by bike and <em>y </em>km by bus, then you travel 275 km as given in the problem)
y = x + 55 (the problem stated that they were bussed (y) the amount they biked plus 55 more km (x + 55))
The second equation is already solved for y. So, we can plug it in to the first equation.
x + (x + 55) = 275
2x + 55 = 275 [combine x terms]
2x = 220 [subtract 55 from both sides]
x = 110 [divide by 2 to isolate x and solve for it]
Now we know that x is 110, the distance they traveled by bike.
And that's what we needed to answer the problem!
