Answer:the number of coach tickets that she bought is 5
the number of first class tickets that she bought is 6
Step-by-step explanation:
Let x represent the number of coach tickets that she bought.
Let y represent the number of first class tickets that she bought.
The total number of people that went for the round trip is 11. This means that
x + y = 11
She was able to purchase coach tickets for $340 and first class tickets for $1190. She used her total budget for airfare for the trip, which was $8840. This means that
340x + 1190y = 8840 - - - - - - - 1
Substituting x = 11 - y into equation 1, it becomes
340(11-y) + 1190y = 8840
3740 - 340y + 1190y = 8840
- 340y + 1190y = 8840 - 3740
850y = 5100
y = 5100/850 = 6
x = 11 - y
x = 11 - 6 = 5
Answer:
70 km
Step-by-step explanation:
2 cm is twice as much as 1 cm. So, the distance between landmarks will be twice as much as 35 km.
The actual distance is 70 km.
Sugar: x pounds
flour: 2x + 5 pounds
2x + 3(2x + 5) = 40
2x + 6x + 15 = 40
8x = 25
x = 3.125
-> a sack of flour is 3.125 + 5 = 8.125 pounds
I hope it‘s coorect
Answer: The answer is 300 gallons.
Step-by-step explanation: Riemann sum is a method of calculating the total area under a curve on a graph, which is also known as Integral.
To calculate that area, we divide it into a number of rectangles with one point touching the curve. The curve has a closed interval [a,b] that can be subdivided into n subintervals, each having a width of Δ
= 
If a function is defined on the closed interval [a,b] and
is any point in [
,
], then a Riemann Sum is defined as ∑f(
)Δ
.
For this question:
Δ
=
= 1.4
Now, we have to find s(t) for each valor on the interval:
s(t) = 0.29
- t +25
s(0) = 25
s(1) = 24.29
s(2) = 24.16
s(3) = 24.61
s(4) = 25.64
s(5) = 27.25
s(6) = 29.44
s(7) = 32.21
Now, using the formula:
∑f(
)Δ
= 1.4(25+24.29+24.16+24.61+25.64+29.44+32.21)
∑f(
)Δ
= 1.4(212.6)
∑f(
)Δ
≅ 300
With Riemann Sum, it is estimated the total country's per capita sales of bottled water is 300 gallons.
Answer:
y=3r+5
Step-by-step explanation:
Break up the sentance.
Capon city has 5 more than 3 times as many residents as harbor city.
The sentance above can be written like this: y=5+3x. Since they want r to represent the number of people in Harbor city, use r in place of x.
Capon city=y
has=equal sign
5 more=+5
3 times as many=3r
y=3r+5