Which statements are true about the ordered pair (7, 19) and the system of equations?

<img src="https://tex.z-dn.net/?f=%5Cint%5Climits%5E4_3%7Bx%5E%7B2%7D-x%20%7D%20%5C%2C%20dx" id="TexFormula1" title="\int\limits

melisa1 [442]

Answer:

$\frac{53}{6}$

Step-by-step explanation:

$\int\limits^4_3 {x^2-x} \, dx$

= [ $\frac{x^3}{3}$ - $\frac{x^2}{2}$ ] ← evaluate for upper limit - lower limit

= ( $\frac{64}{3}$ - $\frac{16}{2}$ ) - ( $\frac{27}{3}$ - $\frac{9}{2}$ )

= $\frac{64}{3}$ - 8 - 9 + $\frac{9}{2}$

= $\frac{155}{6}$ - 17

= $\frac{53}{6}$

5 0

3 years ago

The basketball team has 50 members, and 18 of them are 6th graders. What percentage of the team is in the 6th grade?

motikmotik

Answer:

36%

Step-by-step explanation:

$\frac{18}{50} = \frac{36}{100}$

So 36% of the team is in 6th grade.

8 0

3 years ago

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A regular room has an area of 313 1/2 feet the length is 12 1/2 feet what is the width of the room

swat32

You need to divide 313.5/12.5=25.08 so the width is 25.08 feet

3 0

3 years ago

there are two boxes. in the first box there are 7 cards numbered from 1 tp 7 the second box also contains 7 cards from 1-7 pick

mrs_skeptik [129]

Answer:

$\frac{6}{49}$

Step-by-step explanation:

GIVEN: There are two boxes. in the first box there are $7$ cards numbered from $1$ to $7$ the second box also contains $7$ cards from $1-7$ pick one card from each box.

TO FIND: probability that the sum of the two two cards is at least $12$ .

SOLUTION:

sample case such that sum of cards is $12$ : $(5,7),(7,5),(6,6)$

sample case such that sum of cards is $13$ : $(7,6),(6,7)$

sample case such that sum of cards is $14$ : $(7,7)$

Total sample case such that sum is atleast $12$ $=6$

Total sample cases $=49$

probability that the sum of the two two cards is at least $12$ $=\frac{\text{sample case in which sum is atleast 12}}{\text{total sample cases}}$

$=\frac{6}{49}$

probability that the sum of the two two cards is at least $12$ is $\frac{6}{49}$

8 0

3 years ago

Help me with any of these please

kumpel [21]

K, so here we go:
1. 3/4 + 3/4. When adding fractions, you only add the numerator or whole numbers (doesn't have a whole number, but the numerator's are the top numbers) NOT the denominator (bottom number) Add 3+3, and this gives you 6. Keep the 4 the same, and you get 6/4. The answer is 6/4, but you can make this a proper fraction, and say it's 1 and 2/4 (one is the whole number, it's like the 4 in number 3)

2. 2- 1 and 1/8. This is just subtraction, subtract the whole numbers first. 2-1=1. now, assume the 2 is 2 and 0/8, and you just took away 1. Now, it's 1 and 0/8. Now, take away another 1/8 and you get 7/8

3. Just division. The Answer is 3/2, or 1 and 1/2

4. Simple division again. Divide 15 by 3. You get 5. This is 1/3 of 15, because 5*3=15.

5. An 8 sided polygon is known as an octagon.

6. A=B*H (Area= base times height.)

7. A quarter is 4. It takes 4 quarter pounds to make a pound (think like money. a quarter is 25 cents. it takes 4 quarters to make a dollar. If you want 60 dollars, how many quarters would you need?) Well, take 60*4, and you get 240. You can make 240 quarter pounders from 60 pounds of meat.
___________________________________________________________
TO CLARIFY:
1= 6/4 OR 1 and 2/4
2= 7/8
3=3/2 OR 1 and 1/2
4=5
5=Octagon.
6: A=B*H
7. 240 quarter pounders

7 0

3 years ago

Read 2 more answers