Answer:
7
Step-by-step explanation:
"a certain whole number" is a number that we don't know, so pick a variable, let's use n
"Twice" means two times, so we'll use 2n for this.
"subtracted from" means the 2n will be AFTER the minus sign.
____ - 2n
What goes in front? "3 times the square of the number" 3n^2
Now we have 3n^2 - 2n
Lastly, we see the result is 133. So this gives us:
3n^2 - 2n = 133 To solve, subtract 133 from both sides of the equation.
3n^2 -2n - 133 = 0 Next FACTOR.
(3n + 19)(n - 7) = 0
3n+19=0 and n-7=0
n=-19/3 and n=7
Since we are looking for a whole number choose n=7
Answer:
1 x 1+0 x 1/10+5 x 1/100+9 x 1/1000
Step-by-step explanation:
Answer:
Given the statement: Kite QRST has a short diagonal of QS and a long diagonal of RT. The diagonals intersect at point P.
Properties of Kite:
- The diagonals are perpendicular
- Two disjoint pairs of consecutive sides are congruent by definition of kite
- One diagonal is the perpendicular bisector to the other diagonal.
It is given that: Side QR = 5m and diagonal QS = 6m.
Then, by properties of kite:
Substitute the value of QS we get QP;
= 3 m
Now, in right angle
Using Pythagoras theorem:
Substitute the given values we get;
or
Subtract 9 from both sides we get;
Simplify:
Therefore, the length of segment RP is, 4m
What do I need to find?
Your answer is correct.
What information do I need to use?
100% = 240 miles, she has already driven 15% of 240, so she has driven x miles.
How will I use the information?
Set up a proportion. If she has already driven 15% out of 100% of the distance, then you should write for the first fraction. This is proportional to . This means that . Wait, but this is confusing. How on Earth do we solve it? Let's take a closer look. If is supposed to equal 15/100, then this means that x/240 divided by 15/100 should give us the answer. So, even though it looks complicated, all you have to do is cross multiply like this:
Now isolate x:
So x = 36, which means she has already driven 36 out of 240 miles. Lucia still has to drive 204 miles to reach her destination.
1.) In this case, 56 = 100% and 25% of the sandwiches were tuna. This means that 75% of the sandwiches were not. If and you use the same method above, x is equal to 14. If 14 is 25% then that means the other 75% = 14 * 3. So 42 sandwiches were not tuna.
2.)
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He still has $270 left to pay.