B. -2, -3, 0, 3 because, they are the Y coordinates
Answer:
the consecutive integars is 11,12,13,14,15
Step-by-step explanation:
- let the first integar be described as y
- since they are consecutive ( following each other)
- the second will y + 1
- the third is y + 2
- the fourth is y + 3
- the fifth y + 4
then it says the sum of the first and 4 times the third = 60 less than 3 times the sum of the second, fourth and fifth
60 less than 3 times the sum of the second, fourth and fifth means that 3 times the sum of the second, fourth and fifth minus 60
y+ 4(y+2) = 3{ (y +1) +(y+3) + (y+4)} -60
y + 4y + 8 =3[ y +1 + y + 3 +y+4} - 60
5y +8=3(y+y+y+1+3+4)-60
5y+8=3(3y+8)-60
- simplify and open the brackets
5y+8=9y+24-60
5y+8=9y-36
- subtract 8 from both sides
5y+8-8=9y-36-8
5y=9y-44
- subtact 9y from both sides
5y-9y=9y-9y-44
-4y=-44
- divide -4 from both sides
-4y/-4=-44/-4 ( minus divided by minus is plus
y = 11
- the first integar is y = 11
- the second will y + 1 = 11+1 = 12
- the third is y + 2 = 11 +2 = 13
- the fourth is y + 3 = 11 + 3 = 14
- the fifth y + 4 = 11 + 4 = 15
- the consecutive integars is 11,12,13,14,15
Answer:
The triangle with side lengths 7 in, 11 in, 13 in will be an acute angled triangle.
Step-by-step explanation:
If we assume that the triangle with height 7 inches and base 11 inches of a right triangle then its hypotenuse will have the length of
inches.
But the third side of the triangle is given to be 13 inches which is less than 13.04 inches i.e. 13 < 13.04.
Therefore, the triangle with side lengths 7 in, 11 in, 13 in will be an acute-angled triangle. (Answer)
Answer: it will take 5 people 1.5 hours
Step-by-step explanation:
It took 3 people 2 1/2 hours to paint a large room. Changing from mixed fraction to improper fraction, 2 1/2 hours will be 5/2 hours. Therefore,
It took 3 people 5/2 hours to paint a large room.
For 5 people to paint a similar room, it will take them lesser time. Thi s is an inverse variation. Therefore, the number of people is varies inversely
with the time it takes them to paint the room.
Let number of people be p and time it takes be t
p varies inversely with t.
Introducing constant of variation, k, it becomes
p = k/t
If 3 people take 5/2 hours, then
3 = k/(5/2)
k = 3 × 5/2 = 7.5
Our expression becomes
p = 7.5/t
The time it will take 5 people will be
p = 5 so,
5 = 7.5/t
t = 7.5/5 = 1.5 hours
Answer: 50 pairs.
Step-by-step explanation:
For each pair of earrings, Joshua spends $0.29 + $0.11 in materials.
So he spends $0.40 for each pair of earrings.
If he has $20, we want to know how many times he can spend $0.40.
For this, we take the quotient:
$20/$0.40 = 50
This means that we can sperate $20 into 50 times $0.40.
So he can buy enough material to make 50 pairs of earrings.