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Vesna [10]
2 years ago
8

7(x^2+18)−25=3x^2+165​

Mathematics
1 answer:
earnstyle [38]2 years ago
5 0

Answer:

4, -4

Step-by-step explanation:

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Prove that the product of any three consecutive numbers is even.
mestny [16]

Answer:

The product of three consecutive numbers is essentially the product of an odd number and an even number.

The product of an odd number and an even number is always even.

Explanation:

Consecutive numbers follow a pattern - they alternate between odd and even. (Any number sequence goes: ... odd, even, odd, even, odd ...)

With three consecutive numbers, there are two combinations:

1. odd, even, odd

2. even, odd, even

Remember these rules:

The product of two odd numbers is always odd.

The product of two even numbers is always even.

***The product of an odd number and an even number is always even.

Simplify the equations of consecutive numbers with the rules.

odd X even X odd

= even X (odd)(odd)

= even X odd

= even

even X odd X even

= odd X (even)(even)

= odd X even

= even

***Why this rule works:

In any multiplication statement, the multiplication sign means "groups of".

For example, 5 times 3 = 5 groups of 3.

An even number means, like if a number was represented by number of people, everyone would have a partner.

odd X even means "odd# groups of even # people".

Within each group, everyone already has a partner. It does not matter how many groups there are.  Therefore it's an even number.

even X odd means "even# groups of odd # people".

In this model, there is a leftover person in each of the groups. These people find a partner from another group. Since there are an even number of groups, there is an even number of leftover people. Then they all find a partner. Therefore it's an even number.

4 0
3 years ago
The ratio of boys to girls in Mrs. Ronilo's math class is 3 to 2. What percent of the class is boys? A) 33% B) 40% C) 60% D) 66%
nikdorinn [45]

Answer:

C) 60.

Step-by-step explanation:

Okay, I do math a little bit different than other kids... No worries though, its still correct.


First, find out how many times five can be put into a hundred. You should have gotten 20.


Now, we can use the twenty we got. Multiply 20 by the ratio of the boys. So 20 * 3 = 60.

Girls would be

20 * 2 = 40.


Those two numbers add up to a hundred so its all good. ^-^


Hope I helped!!

8 0
3 years ago
Solve the system of linear equations by substitution 2x-y=6 x=y-1
Oksana_A [137]

substitute x for y-1
2(y-1)-y=6 distribute
2y-2-y=6 subtract y in 2y
y-2=6 add 2 to get y by itself
y=8

Put y back into equation x=y-1
x=8-1
X=7
6 0
3 years ago
Paul can type 60 words per minute and Jennifer can type 80 words per minute. How does Paul’s typing speed compare to Jennifer’s
yan [13]
I'm not certain how exactly this question is supposed to be answered. 

If it wants a ratio, Paul and Jennifer's speeds would be in a ratio of 3:4.

It also could be Paul types 20 words per minute slower than Jennifer.

It could be Paul types 33% slower than Jennifer.

Another answer could be Paul's typing speed is 3/4ths of Jennifer's typing speed.

Feel free to ask any further questions.
4 0
2 years ago
Read 2 more answers
Kate runs 2/3 of a mile on Mondays, Wednesday's and Thursdays. She runs 4/5 of a mile on Tuesday and Fridays. How many miles doe
padilas [110]

Answer:

Therefore, we conclute that Kate run 1 mile and 7/15 of a mile for the week.

Step-by-step explanation:

We know that Kate runs 2/3 of a mile on Mondays, Wednesdays and Thursdays. She runs 4/5 of a mile on Tuesday and Fridays. We calculate how many miles does Kate run during the week.  

Therefore, we get

\frac{2}{3}+\frac{4}{5}=\frac{10+12}{15}=\frac{22}{15}=1+\frac{7}{15}

Therefore, we conclute that Kate run 1 mile and 7/15 of a mile for the week.

8 0
2 years ago
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