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hammer [34]
2 years ago
15

Deigo has $11 and begins saving $5 each week toward buying a new phone.At the same time that Diego begins savings.Lin has $60 an

d begins spending $2 per week on supplies for her art class.is there a week when they have the same amount of money? How much do they have at the time ?
Mathematics
2 answers:
Roman55 [17]2 years ago
7 0

Answer:

yes, after 7 weeks they will have the same amount of money. 46 dollars.

Step-by-step explanation:

First start of by writing an expression to represent this problem

11 + 5x = 60 - 2x

combine like terms. and find value of x.

subtract 11 from the 60

5x = 49 - 2x

move the 2x over to the other side. So + 2x

7x = 49

divide 7 from 49

49/7

x = 7

x=7 amount of weeks they will have the same amount of money

fgiga [73]2 years ago
4 0
On the eighth week, both Deigo and Limb will have the same amount of money of $46.
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LuckyWell [14K]

Answer: 32.14   after round off it will be 32

Step-by-step explanation:

This is how to round 32.14 to the nearest whole number. In other words, this is how to round 32.14 to the nearest integer.

32.14 has two parts. The integer part to the left of the decimal point and the fractional part to the right of the decimal point:

Integer Part: 32

Fractional Part: 14

 

Our goal is to round it so we only have an integer part using the following rules:

If the first digit in the fractional part of 32.14 is less than 5 then we simply remove the fractional part to get the answer.

If the first digit in the fractional part of 32.14 is 5 or above, then we add 1 to the integer part and remove the fractional part to get the answer.

The first digit in the fractional part is 1 and 1 is less than 5. Therefore, we simply remove the fractional part to get 32.14 rounded to the nearest whole number as:

32

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3 years ago
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larisa86 [58]

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Step-by-step explanation:

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2 years ago
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STatiana [176]

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6 0
3 years ago
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Hey how do you get from standard form to vertex form?
vlabodo [156]

Explanation:

Conversion of a quadratic equation from standard form to vertex form is done by completing the square method.

Assume the quadratic equation to be \mathbf{ax^{2}+bx+c=0} where x is the variable.

Completing the square method is as follows:

  1. send the constant term to other side of equal                 \mathbf{ax^{2}+bx=-c}
  2. divide the whole equation be coefficient of \mathbf{x^{2}}, this will give     \mathbf{x^{2}+\frac{b}{a}x=- \frac{c}{a}}
  3. add \mathbf{(\frac{b}{2a})^{2}} to both side of equality                                   \mathbf{x^{2}+2\times\frac{b}{2a}x+\frac{b}{2a}^{2}=-\frac{c}{a}+\frac{b}{2a}^{2}}
  4. Make one fraction on the right side and compress the expression on the left side                                                                          \mathbf{(x+\frac{b}{2a})^{2}=\frac{b^{2}-4ac}{4a^{2}}}
  5. rearrange the terms will give the vertex form of standard quadratic equation                                                                 \mathbf{a(x+\frac{b}{2a})^{2}-\frac{b^{2}-4ac}{4a}=0}

Follow the above procedure will give the vertex form.

(NOTE : you must know that \mathbf{(x+a)^{2}=x^{2}+2ax+a^{2}}. Use this equation in transforming the equation from step 3 to step 4)

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