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3 years ago

Express each ratio as a fraction in lowest terms.

1 answer:

5 0

1) 7/35 simplified into 1/5
2) 11/77 simplified into 1/7
3) 241 divided by 4 is $51.25cent
4) 110.7 divided by 8.2 is 13.5 miles per hour

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When twice a number is decreased by 4, the result is 236. What<br> is the number?

11111nata11111 [884]

120
because the equation would be x•2-4=236

5 0

3 years ago

g If every pair of people in a group are friends, or if every pair are strangers, the group is called uniform. Show the above re

Gennadij [26K]

Answer:

Every group of 6 people has at least two uniform 3-person groups.

Step-by-step explanation:

Denote the 6-people by 6-vertices and draw a blue edge between 2-edges. If the two persons representing the vertices are friends. Otherwise, draw a red edge. This gives rise to a colored graph K6, edges arecolored with either blue or red.

There can exist at most 36 mips. so, multicolor triangles can exist at most 36/2 = 18 multicolor triangles.

If there are 20-triangle in graph. Therefore, every graph of 6-people has at least two uniform 3-person groups.

8 0

4 years ago

What are the coordinates of the midpoint of the line segment with the endpoints (2,-5) and (8,3)

Papessa [141]

Midpoint Formula: $(\frac{x_2+x_1}{2} ,\frac{y_2+y_1}{2} )$

Plug the coordinates into the midpoint formula and solve as such:

$(\frac{2+8}{2} ,\frac{-5+3}{2} )\\\\(\frac{10}{2} ,\frac{-2}{2} )\\\\(5,-1)$

<u>Your midpoint is (5,-1).</u>

7 0

3 years ago

Let f(x) = - 10x + 9 and g(x) = x2 + 12 <br>Find f( - 4)/g( - 4)

Reptile [31]

Answer:

$\frac{49}{28}$

Step-by-step explanation:

Evaluate g(- 4) and f(- 4) by substituting x = - 4 into g(x) and f(x), that is

f(- 4) = - 10(- 4) + 9 = 40 + 9 = 49

g(- 4) = (- 4)² + 12 = 16 + 12 = 28

Then

$\frac{f(-4)}{g(-4)}$ = $\frac{49}{28}$ = $\frac{7}{4}$

7 0

3 years ago

I need help please please I appreciate it! ):

telo118 [61]

Answer:

!. Scale factor = 5

2. Scale factor = $\frac{1}{5}$

Step-by-step explanation:

scale = $\frac{length in drawing}{actual length}$

1. To increase the numbers, let the scale factor be $\frac{5}{1}$ = 5. So that;

0.05 x 5 = 0.25

$\frac{1}{2}$ x 5 = 0.5 x 5 = 2.50

7 x 5 = 35.00

13 x 5 = 65.00

25 x 5 = 125.00

102 x 5 = 510.00

2. To decrease the numbers, let the scale factor be $\frac{1}{5}$ . So that;

0.05 x $\frac{1}{5}$ = 0.01

$\frac{1}{2}$ x $\frac{1}{5}$ = 0.5 x $\frac{1}{5}$ = 0.10

7 x $\frac{1}{5}$ = 1.40

13 x $\frac{1}{5}$ = 2.60

25 x $\frac{1}{5}$ = 5.00

102 x $\frac{1}{5}$ = 20.40

6 0

3 years ago