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MrMuchimi
3 years ago
15

Write the equation of a line that is parallel to y = 1/2 x + 5

Mathematics
1 answer:
kumpel [21]3 years ago
3 0

Answer:

y = 1/2x + 5

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

When 2 lines are parallel, they have the same slope.

Step 1: Define variables

Random point (2, 6)

<em>m</em> = 1/2

y = 1/2x + b

Step 2: Find <em>b</em>

6 = 1/2(2) + b

6 = 1 + b

5 = b

Step 3: Rewrite parallel linear equation

y = 1/2x + 5

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The ratio of dimes to quarters in a money bag is 2:14. if the total numbers of coins is 48, how many quarters are there?
Bess [88]

Answer:

There are 42 quarters (and 6 dimes).

Step-by-step explanation:

The given ratio is 2:14.  But this does not tell us how many dimes nor how many quarters we have.  Instead, it's a ratio.  Modify this by multiplying numerator and denominator by n and then find n:

Number of dimes        2n

----------------------------- = -----

Number of quarters     14n

Then the total number of coins is 2n + 14n =48, implying that:

16n = 48, or n = 3.

Then the number of dimes is 2(n) = 2(3) = 6, and that of quarters is 14(n) =

14(3) = 42.

There are 42 quarters (and 6 dimes).  Notice how the total of 42 and 6 is 48.

7 0
3 years ago
if you deposit 4500 at 5% annual interest compounded annually how much money will be in the account after 30 months
Alja [10]

Answer:

A = $ 50,978.44

Step-by-step explanation:

First, convert R percent to r a decimal

r = R/100

r = 5%/100

r = 0.05 per year,

Then, solve our equation for A

A = P(1 + r/n)nt

A = 45,000.00(1 + 0.004166667/12)(12)(2.5)

A = $ 50,978.44

8 0
3 years ago
6. Lars walks his dog 4 times farther than Michelle
Kobotan [32]

Answer:

0.92

Step-by-step explanation:

7 0
3 years ago
A slide that Baker Park has a height of 10 feet and is 15 feet long. How high are you off the ground when you are 6 feet down th
ss7ja [257]

Answer:

4 ft

Step-by-step explanation:

just look at the length of the slide and substract it.

10-6=4

4 0
3 years ago
Read 2 more answers
4 (x+2)=2 (x+3)+2 (x-1) answer?
vekshin1

4(x+2)=2(x+3)+2(x-1)\\\\use\ the\ distributive\ property:\ a(b\pm c)=ab\pm ac\\\\(4)(x)+(4)(2)=(2)(x)+(2)(3)+(2)(x)-(2)(1)\\\\4x+8=2x+6+2x-2\ \ \ \ |simplify\\\\4x+8=(2x+2x)+(6-2)\\\\4x+8=4x+4\ \ \ \ |-4x\\\\8=4\ FALSE!!!\\\\Answer:\ NO\ SOLUTION\ (x\in\O)

4 0
3 years ago
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