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2 years ago

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A checking account had the following activity over a 2-day period : a withdrawal of $35.47, a deposit of $92.63, and a service c

harge of $2.13. If the balance after this activity was $174.13, what was the balance before the activity ?

1 answer:

madam [21]2 years ago

8 0

The answer would be $119.10

174.13-90.50=83.63
83.63+35.47=119.1

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A person is supposed to drink half a gallon of water every day.abby drank 15 small cups today if the capacity of the cup is 3.5

Yuki888 [10]

He needs to drink 3 cups MORE to meet his daily requirement.

Step-by-step explanation:

Here, as given in the question:

The total need for water = half a gallon = 0.5 gallon

1 gallon = 128 oz

So, 0.5 gallon = 128/2 = 64 oz

Now, the capacity of 1 cup = 3.5 oz

The number of cups already drank by the person = 15 cups

So, the total amount of water already taken by him

= 15 cups x Capacity of 1 cup

= 15 x (3.5 oz) = 52.5 oz

So, the amount of water left to be drink by him

= Total Need - Already covered

= 64 oz - 52 . 5 oz = 11.5 oz

Now, as 1 cup = 3.5 oz

So, 11.5 oz has $( \frac{11.5}{3.5} )$ cups = 3.28 cup≈ 3 cups

Hence, he needs to drink 3 cups MORE to meet his daily requirement.

6 0

2 years ago

Figure ABCD is a kite. The area of ABCD is 48 square units. The length of line segment BD is 8 units. What is the length of AC?

Fed [463]

A = d1 x d2 / 2

d1 = BD = 8 units

48 = 8 x AC / 2

48 x 2 = 8 AC

96 = 8 AC

AC = 96 : 8 = 12

Answer: D ) 12 units

8 0

3 years ago

Read 2 more answers

Is (4, 7) a solution to the system of equations? Explain your answer.

Angelina_Jolie [31]

Answer:

No

Step-by-step explanation:

Neither 4 or 7 is a solution to both equations

4 0

3 years ago

Convert the Cartesian equation x - 5 = 0 to a polar equation.

mylen [45]

Answer:

r = 5sec(θ)

Step-by-step explanation:

The usual conversion is ...

y = r·sin(θ)

x = r·cos(θ)

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The second of these can be used here.

r·cos(θ) -5 = 0

r·cos(θ) = 5

r = 5/cos(θ) = 5sec(θ)

A suitable polar equation is ...

r = 5sec(θ)

5 0

2 years ago

Question 30 The Royal Fruit Company produces two types of fruit drinks. The first type is pure fruit juice, and the second type

Flura [38]

Answer:

The answer is below

Step-by-step explanation:

The Royal Fruit Company produces two types of fruit drinks. The first type is 65% pure fruit juice, and the second type is 90% pure fruit juice. The company is attempting to produce a fruit drink that contains 85% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 80 pints of a mixture that is 85% pure fruit juice?

Answer: Let x be the number of pints of the first fruit juice (i.e 65%) and y be the number of pints of the second fruit juice (i.e 90%).

Since the total number of pints to make the 85% pure fruit juice is 80, it can be represented using the equation:

x + y = 80 . . . 1)

Also, x pints of the first juice = 0.65x, y pints of the second juice = 0.9y and 80 pints of the mixture to be produced = 80(0.85) = 68. Therefore:

0.65x + 0.9y = 68 . . . 2)

We have to solve equation 1 and 2 simultaneously, first multiply equation 1 by 0.65 to get equation 3:

0.65x + 0.65y = 52 . . . 3)

Subtract equation 3 from 2 and solve for y:

0.25y = 16

y = 16/0.25 = 64

y = 64 pints

Put y = 64 in equation 1:

x + 64 = 80

x = 80 - 64 = 16

x = 16 pints

Therefore 16 pints of the 65% pure fruit juice, and 64 pints of the 90% pure fruit juice is required to make 80 pints of 80% fruit juice.

4 0

3 years ago