MATHEMATICS HIGH SCHOOL

A map has a scale of 1 cm : 15.5 km. Two cities are 2.3 cm apart on the map. To the nearest tenth of a kilometer, what is the actual distance corresponding to the map distance?38 km
51.2 km
35.7 km
113.2 km

Answers

Answer 1
Answer:

You will need to multiply 15.5 by 2.3. Keep in mind that this only works because the scale is 1cm but if it was say.... 3.4cm:15.5 you wouldn't be able to use that method. Yeah so the answer is 35.65 which rounds up to →35.7← because the second decimal place is five
Answer 2
Answer:

Answer:

35.7km

Step-by-step explanation:

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Which expression is equivalent to (–3y – x) – (5y – 8x)?–8y – 8x
–8y + 7x
2y – 7x
8y + 8x

Answers

If you would like to find the equivalent expression to (-3y - x) - (5y - 8x), you can do this using the following steps:

(-3y - x) - (5y - 8x) = -3y - x - 5y + 8x = -8y + 7x

The correct result would be -8y + 7x.

Answer:

-8y + 7x.

Step-by-step explanation:

Evaluate x²-6x when x=3-i.

Answers

Answer:

10

Step-by-step explanation:

We are going to substitute x = 3 - i into the expression x² - 6x

* Remember than i² = (√-1)² = -1. so when we multiply and get i² we're going to transform it into -1.*

⇒ x^2-6x = (3 - i)^2 - 6 (3-i) = 9 - 6i+i^2 -18+6i\n=9 - 6i-1-18+6i\n=-10

Thus, x² - 6x = 10 when x = 3-i

What is the solution to the equation 3/4 (4c + 16)= 2c+9

c=

Answers

If you would like to solve the equation 3/4 * (4 * c + 16) = 2 * c + 9, you can calculate this using the following steps:

3/4 * (4 * c + 16) = 2 * c + 9
3/4 * 4 * c + 3/4 * 16 = 2 * c + 9
3 * c + 12 = 2 * c + 9
3 * c - 2 * c = 9 - 12
c = - 3

The correct result would be - 3.
1st -- multiplying the left side = 3c+12 which equals to 2c+9 then subtracting 2c from both sides which equal to the c=-3. Answer is -3.

A 4-digit pin number is to be created using the digits 0 through 9. The first digit must be a 5 or an 8, and the last digit cannot be 0. How many pin numbers can be created?A.
5,040
B.
6,561
C.
1,458
D.
1,800

Answers

First digit:5 or 8 so 2 possible numbers
Second:Any of 0 to 9 so 10 possible numbers
Third:Any of 0 to 9 so 10 possible numbers
Last:Any of 1 to 9 so 9 possible numbers
So Answer is,
2*10*10*9=1800

Find the other endpoint of a line segment with the given midpoint and one endpoint.midpoint (11/2,17/2) and the endpoint is (2,9)

Answers

A(x_A;\ y_A);\ B(x_B;\ y_B)\n\nmidpoint\ AB:\left((x_A+x_B)/(2);\ (y_A+y_B)/(2)\right)


A(2;\ 9);\ B(x;\ y)\n\nmidpoint\ AB:\left((11)/(2);\ (17)/(2)\right)\n\n(2+x)/(2)=(11)/(2)\ and\ (9+y)/(2)=(17)/(2)\ \ \ \ \ |multiply\ both\ sides\ by\ 2\n\n2+x=11\ and\ 9+y=17\n\nx=11-2\ and\ y=17-9\n\nx=9\ and\ y=8\n\nAnswer:endpoint\ (9;\ 8).

what is:  x + 3 -    2x -1  = 4

                 5            3

               

Answers

(x + 3)/5 - (2x - 1)/3 = 4 / * 15

3(x + 3) - 5(2x - 1) = 15 * 4

3x + 9 - 10x + 5 = 60

7x = 60 - 9 - 5

7x = 46 / : 7

x = 6 4/7

Answer:

X= -46/7

Step-by-step explanation:

step1:  left part times 15 is   3(X+3)-5(2X-1)

step2: right part times 15 is 60

step3:   3(X+3)-5(2X-1)=60

step4:   3X+9-10X+5=60

step5:   -7X+14=60

step6:   -7X=46

step7:      X= -46/7
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