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JulijaS [17]
3 years ago
13

Find the least number which must be added to 6203 to obtain a perfect square.

Mathematics
1 answer:
andrey2020 [161]3 years ago
5 0

Answer:

79

Step-by-step explanation:

       78

         ---------

7 |       62 03 

          49

         ----------

148 |   13 03

          11 84

         -----------

            19

         -----------

78^2 = 6084.

We observe that 78^2 < 6203.

79^2 = 6241.

We observe that 79^2 > 6203.

Hence the number to be added to 6203 is 6241 - 6203 = 38.

6203 + 38 = 3241

                  = 79 * 79

                  = 79.

Therefore 38 should be added to 6203 to obtain a perfect square.

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Written as a rate, 100 miles in 5 hours would be ____ miles per hour.
Keith_Richards [23]

Answer:

it would be 20 miles per hour

4 0
2 years ago
The mean of Holly's first six math quiz scores was 75%. After taking the seventh quiz, her mean score rose to 77%. What was Holl
alexandr1967 [171]

Let x represent Holly's score on 7th math quiz.

We have been given that the mean of Holly's first six math quiz scores was 75%. This means that the average on 1st 6 math quizzes is 75.

To find the total scores on 1st 6 math quizzes, we will multiply 75 by 6 that is 75\times 6 =450.

We will use average formula to find test scores on 7th math quiz.

\text{Average of 7 math quizzes}=\frac{\text{Sum of scores on 7 math quizzes}}{\text{7 quizzes}}

77=\frac{x+450}{7}

Let us solve for x.

77\cdot 7=\frac{x+450}{7}\cdot 7

539=x+450

x+450=539

x+450-450=539-450

x=89

Therefore, Molly's score on the 7th math quiz was 89.

8 0
3 years ago
Mary had $156.00 and spent 1/6 of it for a coat. She then bought a skirt with 1/4 the money she had left. How much money did she
marusya05 [52]

Answer: $ 97.5

Step-by-step explanation:

156 * 1/6 = 26

156-26=130

130 * 1/4- 32.5

130-32.4= 97.5

3 0
2 years ago
What is the equation in point slope form of the line that passes through the point
Anuta_ua [19.1K]

Answer:

\large\boxed{y+2=3(x-1)}

Step-by-step explanation:

\text{The point-slope form:}\\\\y-y_1=m(x-x_1)\\\\m-slope\\(x_1,\ y_1)-point\\\\\text{We have the slope}\ m=3\ \text{and the point (1, -2). Substitute:}\\\\y-(-2)=3(x-1)\\\\y+2=3(x-1)

3 0
3 years ago
The La Jolla tide pools are 67.5 miles from the SLMS. A map shows that 2 inches = 15 miles. What distance is SLMS from the tide
Gwar [14]

Answer:

25

Step-by-step explanation:

because you have to divide by 15's

5 0
3 years ago
Read 2 more answers
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