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3 years ago

Dario increased his savings from $350 to $413. What is Dario's percent increase in savings?

Mathematics

1 answer:

Zanzabum3 years ago

5 0

Answer:

18%

Step-by-step explanation:

63/350 × 100 = 18

hope this helps

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A system of equations is given below. y=1/2x-3 and -1/2x-3. Which of the following statements best describes the two lines?

pantera1 [17]

"They have different slopes but the same y-intercept, so they have one solution" is the statement which best describes the two lines.

Answer: Option D

<u>Step-by-step explanation:</u>

Given equations:

$y=\left(\frac{1}{2} \times x\right)-3$

$y=\left(-\frac{1}{2} \times x\right)-3$

As we know that the slope intercept form of a line is

y = m x + c

So, from equation 1 and equation 2 we can see that

$m_{1}=\frac{1}{2} \quad \text { and } c_{1}=-3$

$m_{2}=-\frac{1}{2} \text { and } c_{2}=-3$

So, from the above expressions, we can say that both lines have different slopes but have same y – intercept with one common solution when x = 0.

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3 years ago

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A school survey found that 7 out of 30 students walk to

nika2105 [10]

Answer: 7/145

Step-by-step explanation:

The probability that the first student walks to school will be: = 7/30.

The probability of selecting the second student that walks to school will be: = 6/29.

Then we multiply both together and this will be:

= 7/30 × 6/29

= 7/145

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3 years ago

The number of marbles of different colors stored in a hat is listed below:

Kamila [148]

There is a 1/4 chance of getting the Blue Marble out of the bag. But when it is 2 in a row you have to multiply your chances so it would be 1/4 * 1/4 or 1/16

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4 years ago

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find three consecutive odd integers such that the sum of the smallest number and middle number is 27 less than 3 times the large

katrin2010 [14]

A generic odd number can be written as

$2k+1,\quad k \in \mathbb{Z}$

Since there is an odd number every two numbers, three consecutive odd numbers will be

$2k+1,\quad 2k+3,\quad 2k+5$

Now let's make up the equations: the sum of the first two is

$(2k+1)+(2k+3)$

And 27 less than 3 times the largest is

$3(2k+5)-27$

These two must be the same, so we have

$(2k+1)+(2k+3)=3(2k+5)-27 \iff 4k+4 = 6k+30-27 \iff 4k+4=6k+3$

Subtracting 4k and 3 from both sides gives

$1=2k \iff k=\dfrac{1}{2}$

Which means that the problem has no solution.

To confirm this hypothesis, we can observe that, on the left hand side, we have the sum of two odd numbers, which is even

On the right hand side, we have an odd number, multiplied by 3 (still odd), take away 27 (still odd).

So, the left hand side is even, and the right hand side is odd. They can't be the same number.

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4 years ago

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antiseptic1488 [7]

78 units squared add together 27.5+12+22+16.5 and you’ll get your answer for triangles it’s 1/2bh and for the rectangles it’s just bh. hope this helped!

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3 years ago

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