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s344n2d4d5 [400]
3 years ago
10

A student deposits the same amount of money into her bank account each week. At the end of the second week she has $30 in her ac

count. At the end of the third week she has $45 in her account. How much will she have in her bank account at the end of the ninth week?
Mathematics
1 answer:
Nonamiya [84]3 years ago
6 0
The student will have $135 in her bank account at the end of the ninth week. You can fine this out by finding out the amount she deposits a week and to do this you would take the $30 and divide it by 2 because she had $30 at the end of the second week. 
30/2=15
So you see that the student deposits $15 each week, so to find out how much money she will have in 9 weeks you will multiply her $15 by 9.
15x9=135
So the student will have $135 at the end of the ninth week. 
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In a 3-digit number, the hundreds digit is one more than the ones digit and the tens digit is twice the hundreds digit. If the s
MaRussiya [10]

Answer:

The mentioned number in the exercise is:

  • <u>362</u>

Step-by-step explanation:

To obtain the mentioned number in the exercise, first you must write the equations you can obtain with it.

If:

  • x = hundredths digit
  • y = tens digit
  • z = ones digit

We can write:

  1. x = z + 1 (the hundreds digit is one more than the ones digit).
  2. y = 2x (the tens digit is twice the hundreds digit).
  3. x + y + z = 11 (the sum of the digits is 11).

Taking into account these data, we can use the third equation and replace it to obtain the number and the value of each digit:

  • x + y + z = 11
  • (z + 1) + y + z = 11 (remember x = z + 1)
  • z + 1 + y + z = 11
  • z + z +y + 1 = 11 (we just ordered the equation)
  • 2z + y + 1 = 11 (z + z = 2z)
  • 2z + y = 11 - 1 (we passed the +1 to the other side of the equality to subtract)
  • 2z + y = 10
  • 2z + (2x) = 10 (remember y = 2x)
  • 2z + 2x = 10
  • 2z + 2(z + 1) = 10 (x = z + 1 again)
  • 2z + 2z + 2 = 10
  • 4z + 2 = 10
  • 4z = 10 - 2
  • 4z = 8
  • z = 8/4
  • <u>z = 2</u>

Now, we know z (the ones digit) is 2, we can use the first equation to obtain the value of x:

  • x = z + 1
  • x = 2 + 1
  • <u>x = 3</u>

And we'll use the second equation to obtain the value of y (the tens digit):

  • y = 2x
  • y = 2(3)
  • <u>y = 6</u>

Organizing the digits, we obtain the number:

  • Number = xyz
  • <u>Number = 362</u>

As you can see, <em><u>the obtained number is 362</u></em>.

8 0
3 years ago
Please help me it dues in 51 minutes​
AfilCa [17]

Answer:

y=3x-4

Step-by-step explanation:

Slope intercept form is :

y=mx+b

where m is the slope, and b is the y intercept.

We are given the slope, it is 3. we are also given the y intercept, it is (0,-4). For this form, the 0 in (0,-4) is ignored, and we consider the y intercept to be -4.

So, m is 3, and b is -4. Substitute the values into the equation

y=3x+ -4

y=3x-4

So, the equation in slope intercept form is

y=3x-4

8 0
3 years ago
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8+7+3/4+2/4
= 15 5/4
= 16 1/4
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3 years ago
What is the value of the expression z2+3z-3 when z=6?
oksano4ka [1.4K]

Answer:

51

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Define

z² + 3z - 3

z = 6

Step 2: Substitute and Evaluate

6² + 3(6) - 3

36 + 18 - 3

36 + 15

51

8 0
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Which phrase describes the algebraic expression 10 + w ?
grin007 [14]

Answer:

The correct answers would be A

Step-by-step explanation:

I know this because I asked my mom and said it a question to my homework

3 0
3 years ago
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