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mafiozo [28]
3 years ago
8

Which smallest number will have 15,20,25,31 nd 43 as reminder respectively when divided by 20, 25, 30, 36,48

Mathematics
1 answer:
Otrada [13]3 years ago
5 0
I assume by smallest number, you're really looking for the smallest *positive* number.

Notice that -5 fits all these requirements:

-5\equiv15\mod20
-5\equiv20\mod25
-5\equiv25\mod30
-5\equiv31\mod36
-5\equiv43\mod48

Any number of the form -5+nk will also satisfy these conditions, where k\in\mathbb Z and n is the least common multiple of the moduli. You have

\mathrm{lcm}(20,25,30,36,48)=3600

so the least positive number would be achieved with k=1, giving 3595 as the answer. (Verified with a script.)
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Translate this phrase into an algebraic expression.
alexira [117]

Answer:

5+(11 x n)

Step-by-step explanation:

I hope this helps

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Heather was asked to graph 3x - y = -4 by using slope and y-intercept. Her graph is shown.
irakobra [83]
Hello! The y-intercept is (0, 4), because the line crosses 0 in the x-axis at that point. We can cross out C and D, because those don't show that. The slope is rise/run. You would go up 3, and go to the right once. If you need to, solve for slope by doing y2 - y1/ x2 - x1. Let's use the point (0, 4) and (1, 7) as an example. We would set it up like this: 7 - 4 / 1 - 0. Solving that would give us 3/1 or just simply three. The slope is positive 3 and the y-intercept is (0, 4). The answer is A.
7 0
2 years ago
Determine the equation of the line, written in slope-intercept form, that passes through the points (1,1) and (5,−1).
bazaltina [42]

Answer:

y=-1/2x+3/2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-1-1)/(5-1)

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y=-1/2x+1/2+1

y=-1/2x+1/2+2/2

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3 0
3 years ago
Can I get help on this please
Misha Larkins [42]

Answer:

5. You can round question a up to 100 + 55 (then do the counting)

5. You can round question b up to 245 - 100 (then do the counting)

You can round question c up to 100 x 5 (then do the counting)

You can round question d up to 100 x 20 (then subtract accordingly)

Please rank Brainliest if this helps!

4 0
3 years ago
10. Mr. Guerrero left his house and drove north at an average speed of 40 mph.Two hours later, his daughter Miranda left the hou
Charra [1.4K]
Speed=distance / time  ⇒ distance=time x speed
distance=d
time=t
speed= s

d=s*t

Distance  traveled by Mr Guerrero, when his daugther left the house
Data:
s=40 miles/ hour
t=2 hours
d=40 miles/ hour * 2 hours=  80 miles

Total distance traveled by Mr Guerrero:
d=80 miles + 40 miles/hourt    ⇒d=80+40t      (1)

d=total distance.
s=speed.
t=time spent by Miranda for she overtook her father.

Distance traveled by Miranda.
data:

s=48 miles/ hour
d=total distance.
t=time spent by Miranda for she overtook her father.

d=48 miles/hour * t      ⇒d=48t       (2)

With the equations (1) and (2), we make an system of equations:

d=80+40t
d=48t

We can solve this system of equation by equalization method.

80+40t=48t
80=48t-40t
80=8t
t=80/8=10

d=48t
d=48*10=480

Answer: the thistance will be 480 miles.
3 0
3 years ago
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