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g100num [7]
2 years ago
8

Find the number that completes each of the following proportions: a.8120=4c b.n0.5=0.71 c.8x=23 d. 7:6=k:120

Mathematics
1 answer:
egoroff_w [7]2 years ago
4 0

Answer:

a. c = 2030,

b. n = 1.42,

c. x = 2.875,

d. k = 140

Step-by-step explanation:

a ) 8120 = 4c,

c = 8120 / 4 = 2030

b ) 0.5n = 0.71,

n = 0.71 / 0.5 = 1.42

c ) 8x = 23,

x = 23 / 8 = 2.875

d ) 7 : 6 = k : 120

Here we want to convert this ratio into fraction form,

7 / 6 = k / 120

And now we can cross - multiply to determine the value of k,

6k = 7(120) = 840,

k = 840 / 6 = 140

We can check the value of k, by plugging it back into our ratio, and see if it reduces to 7 : 6,

140 : 120,

14 : 12,

7 : 6

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Write an explicit formula for an, the nth term of the sequence 4, -24, 144, ....
nadezda [96]

Answer:

Tn = 4(-6)^n-1

Step-by-step explanation:

Write an explicit formula for an, the nth term of the sequence 4, -24, 144, ....

The sequence is a geometric sequence

Tn = ar^n-1

a is the first term

a = 4

r = -24/4 =144/-24

r = -6

Substitute

Tn = 4(-6)^n-1

3 0
2 years ago
Consider the line y=9x-5.
igomit [66]
Y = 9x - 5...the slope here is 9...a parallel line will have the same slope.

y = mx + b
slope(m) = 9
(5,-4)...x = 5 and y = -4
now we sub and solve for b, the y int
-4 = 9(5) + b
-4 = 45 + b
-4 - 45 = b
-49 = b
so ur parallel line is : y = 9x - 49

y = 9x - 5...slope is 9. A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign. So the slope we need is -1/9.

y = mx + b
slope(m) = -1/9
(5,-4)...x = 5 and y = -4
now we sub and solve for b, the y int
-4 = -1/9(5) + b
-4 = -5/9 + b
-4 + 5/9 = b
-36/9 + 5/9 = b
- 31/9 = b

so ur perpendicular line is : y = -1/9x - 31/9

6 0
3 years ago
Given: SP = PT = ST = 2.6<br><br> MO⊥ (SPT) <br> m∠MPO = 70º<br> Find: Volume
ohaa [14]

Answer:

Step-by-step explanation:

Volume = 1/3(area of triangular base)height

To find the triangular base we would use heron formula Area = square root (s-a)(s-b)(s-c)

S = (a+b+c)/2 = 2.6 + 2.6 + 2.6 )/2

4 0
2 years ago
Can someone please help me with these!!!!!
Alona [7]
Yes, No, Yes, Yes, No. You fill in (x,y) numbers into the equations and if it cancels out into 4, it would be 4=4. If it doesn’t become 4=4, it’s no.
3 0
3 years ago
Easy, please help! asap
Lelu [443]
The answer for this multiple choice is D
4 0
1 year ago
Read 2 more answers
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