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marshall27 [118]
3 years ago
6

You made two deposits to your bank account this month. One deposit was $24.61 and the second deposit was $16.49. Your balance at

the end of the month is $73.31 and you made no withdraws. Write and evaluate an expressions for your balance at the beginning of the month subject:(subtracting rational numbers)
Mathematics
1 answer:
Kitty [74]3 years ago
3 0

Answer:

Let's denote your original balance (at the beginning of the month) is x.

After depositing twice (24.61$ and 16.49$), you got 73.31$ as the amount of total money in your account.

=> x + 24.61 + 16.49 = 73.31

=> x = 73.31 - 24.61 - 15.49

=> x = 33.21$

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Point r is at 2,1.2 and point t is at 2,2.5 on a coordinate grid. The distance between the two points is. .
Diano4ka-milaya [45]

Answer:

  1.3

Step-by-step explanation:

The two points lie on the same vertical line (x=2), so the distance between them is the difference of their y-coordinates:

  2.5 - 1.2 = 1.3 . . . distance between the points

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2 years ago
Explain your answer !! <br> Have a nice day <br><br> Will give braisnlt
11111nata11111 [884]

Answer:

The price of hot dog is $2.5 and that of a pretzel is $1.25.

Step-by-step explanation:

Let the cost of hotdogs be x and that of pretzels be x.

So,

4x+3y = 13.75 ...(1)

and

2x+5y = 11.25 ...(2)

Multiply equation (2) by 2.

4x+10y = 22.5 ...(3)

Subtract equation (1) from (3).

4x+10y-(4x+3y) = 22.5-13.75

4x+10y-4x-3y = 8.75

7y = 8.75

y = 1.25

Put the value of y in equation (1).

4x+3(1.25) = 13.75

4x+3.75 = 13.75

4x = 13.75-3.75

4x = 10

x = 2.5

So, the price of hot dog is $2.5 and that of a pretzel is $1.25.

3 0
2 years ago
Please help! Thanks in advance.
alukav5142 [94]
In this problem, we need to plug in the given x values for f(x)=0 and find a and b.

When we plug in 1, we get: 2 \times {1}^{4} - 5 \times {1}^{3} - 14 \times {1}^{2} + a \times 1 + b = 0

Simplify:
2 - 5 - 14 + a + b = 0
- 17 + a + b = 0
a + b = 17

We got our first statement about the values of the variables. If we find one more we can find those 2 variables.

We have another given root: 4.

Plug it in:
2 \times {4}^{4} - 5 \times {4}^{3} - 14 \times {4}^{2} + a \times 4 + b = 0
512 - 320 - 224 + 4a + b = 0
- 32 + 4a + b = 0
4a + b = 32

Now we have our second one. We can combine them:
a + b = 17 \\ 4a + b = 32

I use elimination method which is easier here.

Multiply the top equation by -1: - a - b = - 17 \\ 4a + b = 32

Add them up:
3a = 15

Simplify:
a = 5

Now we have a, we can plug in one of those equations to find b:
5 + b = 17
b = 17 - 5
b = 12

So, the answers are a=5 and b=12 .
6 0
3 years ago
What 0.04 percent form is?
sergij07 [2.7K]
4%
This is because 1 = 100%
0.4 would equal 40%
So 0.04 is 4%
3 0
3 years ago
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