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Nikitich [7]
3 years ago
14

Suppose you had d dollars in your bank account. You spent $21 but have at least $53 left. How much money did you have initially?

Write and solve an inequality that represents this situation.
d – 21 ≥ 53; d ≥ 74


d + 21 ≤ 53; d ≤ 95


d + 21 ≥ 53; d ≥ 95


d – 21 > 53; d > 74
Mathematics
2 answers:
notsponge [240]3 years ago
7 0

Answer:

the first choice or choice a

Step-by-step explanation:

you started with d dollars so your taking 21 away; d-21

you know there's at least 53 in the account which means the sign is greater than or equal to because there either 53 dollars in the account or more

the same applies for 74 which is 53 +21 but if there was more than 53 it would be greater than 74 therefore it also has to have the greater than or equal to sign

nikdorinn [45]3 years ago
4 0

Answer:

should be d because it says at least 53 meaning it could be that or more

Step-by-step explanation:

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A boat on a river travels downstream between two points, 90 mi apart, in 1 h. The return trip against the current takes 2 1 2 h.
docker41 [41]

Answer:

A)63miles per hour.

B)27 miles per hour

Step-by-step explanation:

HERE IS THE COMPLETE QUESTION

boat on a river travels downstream between two points, 90 mi apart, in 1 h. The return trip against the current takes 2 1 2 h. What is the boat's speed (in still water)??b) How fast does the current in the river flow?

Let the speed of boat in still water = V(boat)

speed of current=V(current)

To calculate speed of boat downstream, we add speed of boat in still water and speed of current. This can be expressed as

[V(boat) +V(current)]

It was stated that it takes 1hour for the

boat to travels between two points of 90 mi apart downstream.

To calculate speed of boat against current, we will substact speed of current from speed of boat in still water. This can be expressed as

[V(boat) - V(current)]

and it was stated that it takes 2 1/2 for return trip against the Current

But we know but Speed= distance/time

Then if we input the stated values we have

V(boat) + V(current)]= 90/1 ---------eqn(1)

V(boat) - V(current) = 90/2.5----------eqn(2)

Adding the equations we have

V(boat) + V(current) + [V(boat) - V(current)]= 90/2.5 + 90/1

V(boat) + V(current) + V(boat) - V(current)]=90+36

2V(boat)= 126

V(boat)=63miles per hour.

Hence, Therefore, the speed of boat in still water is 63 miles per hour.

?b) How fast does the current in the river flow?

the speed of the current in the river, we can be calculated if we input V(boat)=63miles per hour. Into eqn(1)

V(boat) + V(current)]= 90/1

63+V(current)=90

V(current)= 27 miles per hour

Hence,Therefore, the speed of current is 27 miles per hour.

7 0
3 years ago
which ordered pairs in the form (x, y) are solutions to the equation 3x−4y=21 ? Select each correct answer. (−1, −6) (−3, 3) (11
Valentin [98]

Answer:

see explanation

Step-by-step explanation:

To determine which ordered pairs are solutions to the equation

Substitute the x and y values into the left side of the equation and if equal to the right side then they are a solution.

(- 1, - 6)

3(- 1) - 4(- 6) = - 3 + 24 = 21 = right side ← thus a solution

(- 3, 3)

3(- 3) - 4(3) = - 9 - 12 = - 21 ≠ 21 ← not a solution

(11, 3)

3(11) - 4(3) = 33 - 12 = 21 = right side ← thus a solution

(7, 0)

3(7) - 4(0) = 21 - 0 = 21 = right side ← thus a solution

The ordered pairs (- 1, - 6), (11, 3), (7, 0) are solutions to the equation

3 0
3 years ago
Read 2 more answers
Find the first three terms of f(n + 1) = f(n) + 8, if f(1) = 27.
dezoksy [38]
I hope this helps you



f (1+1)= f (1)+8


f (2)= 27+8


f (2)=35



f (2+1)= f (2)+8



f (3)= 35+8


f (3)=43



3 0
3 years ago
Need help on this one thank u
Mkey [24]

Answer:

c

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Ashley bought 2 1/7 lb of tomatoes, 3 2/3 lb of lettuce, and 3 1/3 lb of spinach to make a salad. How many pounds of vegetables
blsea [12.9K]
9 1/7 lb

You can convert the mixed numbers to solve it easier! :)
7 0
2 years ago
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