MATHEMATICS MIDDLE SCHOOL

Elli’s age in 10 years will be the same as Peggy’s age is now. Five years from now, Peggy’s age will be twice Elli’s age. What are their present ages?

Answers

Answer 1

Answer:

Answer:

Elli's present age is 5 years and Peggy's present age is 15 years.

Step-by-step explanation:

Let Elli's present age be x

After 10 years Elli's age = x+10

Since we are given that Elli’s age in 10 years will be the same as Peggy’s age is now.

So, Peggy's present age = x+10

After 5 years

Elli's age will be x +5

Peggy's age = x+10 +5= x+15

Now we are given that Five years from now, Peggy’s age will be twice Elli’s age.

So, $x+15=2(x+5)$

$x+15=2x+10$

$x=5$

So, Elli's present age = 5 years

Peggy's present age = x+10 =5+10 = 15 years

Thus Elli's present age is 5 years and Peggy's present age is 15 years.

Answer 2

Answer:

THEIR AGES ARE: ellie 5, peggy 15

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Y varies directly as x. if x =5 when y=12. find x when y=30

Is 87 Prime or Composite

Answers

87 is Composite, not prime

87 :1,3,29,87

Prime numbers have exactly two factors: 1 and itself.
Composites have more than two factors.

(5n^2-n) + (8n^2-2n)

Answers

13n^2 -3n should be the answer

1. Justin divided 403 by a number and got a quotient of 26 with a remainder of 13. What was thenumber Justin divided by?
a. 13
b. 14
c. 15
d. 16

Answers

The number used by Justin used to divide 403 to get a quotient of 26 with a remainder of 13 is 15.

What number was used to divide 403?

Division is theartimetic process used to divide a number into equal parts using another number. The sign used to denote division is ÷.

In order to detemine the number used to divide 403, take the following steps:

Subtract 13 from 403 = 403 - 13 = 390

Now divide 390 by 26: 390 / 26 = 15

To learn more about division, please check: brainly.com/question/13281206

Answer:

Step-by-step explanation:

First subtract the remainder from 403 to get 390. then divide 390 by 26 to get 15.

A computer is programmed to scan the digits of the counting numbers. For example, if it scans 1 2 3 4 5 6 7 8 9 10 11 12 13 then it has scanned 17 digits altogether. If the computer begins its task and scans the first 1392 digits starting at 1, what is the last counting number scanned?

Answers

I believed it is "401"

1-9 = 9 digits

10-99 = 90 which is 180

100-200 = 100 which is 300 digits

9+180= 189

1392-189= 1203

1200÷300=400 which 1200 digits

401 is the 1392 number scanned

What is the range of the relation? {(1, 2), (2, 4), (3, 2), (4, 6)}  A.{2, 4}  B.{1, 2, 3, 4, 6}  C.{2, 4, 6}  D.{1, 2, 3, 4}
Which relation is a function?  A.{(1, 2); (2, 3); (3, 4); (2, 5)}  B.{(1, 2); (1, 3); (1, 4); (1, 5)}  C.{(1, 2); (2, 3); (3, 4); (1, 5)}  D.{(1, 2); (2, 2); (3, 2); (4, 2)}

For the function f(x) = 2 – 3x, find f(4).  A.–5  B.12  C.–10  D.14
Which equation represents a direct linear variation?  A.y = x – 3  B.y=1/3x  C.y = x^2  D.y=1/x
Which is the direct linear variation equation for the relationship?

y varies directly with x and y = 12 when x = 4.
   A.y = 3^x  B.y = x + 8  C.y = 2x + 4   D.y = x – 8
Which is the quadratic variation equation for the relationship?

    y varies directly with x2 and y = 48 when x = 2.
   A.y = 4x^2  B.y = 4x  C.y = 12x^2  D.y = x^2 + 25

Write the inverse variation equation for the relationship: y varies inversely with x and y = 4 when x = 2.  A.y = 2x  B.y=8/x  C.y = x + 2  D.y=1/2x

Answers

$(1)\ \ \ \ range:\ \ \ \{2, 4, 6\}\ \ \ \Rightarrow\ \ \ Ans.\ C\n\n(2)\ \ \ function:\ \ \ \{(1, 2); (2, 2); (3, 2); (4, 2)\}\ \ \ \Rightarrow\ \ \ Ans.\ D\n\n(3)\ \ \ f(4)=2-3\cdot4=2-12=-10\ \ \ \Rightarrow\ \ \ Ans.\ C\n\n(4)\ \ \ direct:\ \ \ y=ax\ \ \ \Rightarrow\ \ \ y= (1)/(3) x\ \ \ \Rightarrow\ \ \ Ans.\ B\n\n(5)\ \ \ f(x)=ax\ \ \ and\ \ \ f(4)=12\n.\ \ \ \ \ \Rightarrow\ \ \ 12=a\cdot4\ \ \ \Rightarrow\ \ \ a=3\ \ \ \Rightarrow\ \ \ f(x)=3x\ \ \ \Rightarrow\ \ \ Ans.\ (?)\n\n$

$(6)\ \ \ f(x)=ax^2\ \ \ and\ \ \ f(2)=48\n.\ \ \ \Rightarrow\ \ 48=a\cdot2^2\ \ \Rightarrow\ \ a=48:4=12\ \ \Rightarrow\ \ f(x)=12x^2\ \Rightarrow\ \ Ans.\ C\n\n(7)\ \ \ inversely:\ \ \ f(x)= (a)/(x) \ \ \ and\ \ \ f(2)=4\n.\ \ \ \Rightarrow\ \ \ 4= (a)/(2) \ \ \ \Rightarrow\ \ \ a=4\cdot2=8\ \ \ \Rightarrow\ \ \ y= (8)/(x)\ \ \ \Rightarrow\ \ \ Ans.\ B$

Please answer quickly!

Answers

How to get answer:

Craigs, percent = difference/original = (7 - 4)/4 = 3/4 = 75%.

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