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2 years ago

The level of a lake was 8 inches below normal. It decreased 1

Mathematics

1 answer:

solmaris [256]2 years ago

4 0

Answer:

$-9\dfrac{5}{8}$ inches.

Step-by-step explanation:

The level of a lake was 8 inches below normal.

Now, it is given that the water level decreases $1\dfrac{1}{4} = 1.25$ inches in June and $2\dfrac{3}{8} =2.375$ inches more in July.

Therefore, the new level of water with respect to the normal level will be

= - 8 - 1.25 - 2.375

= - 9.625 inches

= $-9\dfrac{5}{8}$ inches. (Answer)

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Ieda and Thanh both offer piano lessons. Ieda charges an initial fee of $8.50 and an hourly rate of $11.00. Thanh charges an ini

Verizon [17]

Answer:

after 3 hours of instruction.

Step-by-step explanation:

First, start by setting up the equation.

Leda charges an initial fee, meaning this fee is only going to be one time. However, there is an hourly rate of 11. Since we do not know how many hours these piano lessons are going to last, we put a variable (I will use x), after this number.

The initial fee is 8.50. There needs to be a variable after 11 because that is the number we don't know.

The equation for Leda's lessons are 8.50+11.00x.

Now, we need to find out what the equation for Thanh's lessons are going to be, because we're going to be setting both equations equal to each other to find out when they cost the same. At the moment both equal each other, is when they are the same amount.

Thanh's equation also has an intial fee and an hourly rate. So, the equation will be

10.00+10.50x.

Now we solve.

8.50+11.00x = 10.00+10.50x

First, subtract from both sides. We will do the numbers without variables first.

8.50+11.00x = 10.00+10.50x

-8.50 -8.50

____________________

0 +11.00x = 1.50 +10.50x

Then, subtract the x's. (taking away the zero because it is equivalent to nothing)

11.00x = 1.50 +10.50x

- 10.50x -10.50x

__________________

0.50x = 1.50

Lastly, to find out the answer, we divide.

1.50/0.50= 3.

To check your answer, you can plug into the original equation.

8.50+11.00 times 3 = 10.00+10.50 times 3

Both sides equal 41.50, meaning they are equal to each other!

7 0

2 years ago

Read 2 more answers

Guided Practice

KATRIN_1 [288]

Answer:

i would think its C

Step-by-step explanation:

the other options dont make sense lol

hope this is correct and helps :)

5 0

2 years ago

Read 2 more answers

Devon and his friends bought strawberry wafers for $3 per packet and chocolate wafers for $1 per packet at a carnival. They spen

Irina-Kira [14]

Hi there!

PART A:
The system of equations we would use would be:
x + y = 22 (amount of items)
3x + 1y = 30 (cost)

Variables:
x = the amount of strawberry wafers bought at the price of $3
y = the amount of chocolate wafers bought at the price of $1

PART B:
To solve, we'll use substitution because we can easily isolate a variable using the first equation.

Work:
x + y = 22 (first equation)
y = 22 - x (isolating a variable)
3x + 1y = 30 (second equation)
3x + (22 - x) = 30 (substituting into the second equation)
2x + 22 = 30 (simplifying)
2x = 8 (subtracting)
x = 4 strawberry wafers
4 + y = 22 (substituting x into the first equation to solve for y)
y = 18 chocolate wafers

ANSWER:
They bought 4 strawberry wafers and 18 chocolate wafers.

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!

8 0

2 years ago

8.1g of sugar is needed for every cake made. How much sugar is needed for 6 cakes?

Lerok [7]

Answer:

48.6

Step-by-step explanation:

If you use 8.1g of sugar for 1 cake then 6 cakes will be 48.6g of sugar

Just do 8.1*6 and you will get 48.6

8 0

2 years ago

The top of a ladder is 4m up a vertical wall.The bottom is 2m from the wall.The coordinate axes are the wall and the horizontal