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Mice21 [21]
3 years ago
14

A bag contains 5 blue marbles , 2 black marbles and 3 red marbles .a marble is randomly drawn from the bag the probability of no

t drawing a black marble is . The probability of drawing a red marble is
Mathematics
1 answer:
Fofino [41]3 years ago
8 0

Answer: not a black marble: 4/5

Red marble: 3/10

Step-by-step explanation: Count the number of marbles.

5+2+3=10

The total number of marbles that aren’t black are 8 out of 10. The fraction is 8/10. It can be simplified to 4/5.

The number of red marbles is 3 out of 10. As a fraction, it’s 3/10.

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The longer leg of a right triangle is 7 ft longer than the shorter leg. The hypotenuse is 9ft longer than the shorter leg. Find
julia-pushkina [17]

Answer:

8, 15 and 17 feet respectively

Step-by-step explanation:

Let the shorter leg=l feet

The longer leg of a right triangle is 7 ft longer than the shorter leg, therefore Length of the longer leg=(l+7) feet

The hypotenuse is 9ft longer than the shorter leg. Therefore Length of the hypotenuse=(l+9) feet

Using Pythagoras Theorem

Hyp^2=Opp^2+Adj^2\\(l+9)^2=l^2+(l+7)^2\\(l+9)(l+9)=l^2+(l+7)(l+7)\\l^2+9l+9l+81=l^2+l^2+7l+7l+49\\l^2+18l+81=2l^2+14l+49

This results into:

2l^2-l^2+14l-18l-81+49=0

l^2-4l-32=0\\l^2-8l+4l-32=0\\l(l-8)+4(l-8)=0\\(l-8)(l+4)=0

l-8=0 or l+4=0

l=8 or -4

Since length cannot be negative, The length l=8 feet

The sides of the rectangle are therefore: 8, 15 and 17 feet respectively

5 0
3 years ago
A car gets 30 miles per gallon of gas and is driven 1000 miles per month. Gas costs $4 per gallon. How much will the car's owner
Maksim231197 [3]
1000/30 * $4 = A 

<span>1000/50 * $4 = B </span>

<span>Subtract B from A.</span>
7 0
3 years ago
What are the answers to these questions ?
Semmy [17]
7a=49
a=49/7
a=7
-6=2x
x=-6/2
x=-3
-32=-4b
B=-32/-4
B=8
u/6=9
u=9*6
u=54
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c=-8*-10
C=80
54=-9d
D=54/-9
D=-6
-12y=60
y=60/-12
y=-5
r/20=-2
r=-2*20
r=-40
g/10=-9
g=-9*10
g=-90
cost of the camera =$300
her weekly savings=$15
15x=300
x=300/15
x=20
in 20 weeks she will have enough money to buy the camera
speed of a race car= 205mph
distance travelled in three hours = x
r=D/t
d=r*t
speed = distance/time
distance = speed * time
x=205*3
x=615miles





7 0
4 years ago
How Do I solve<br>17 1/2 - 10 1/8​
Arisa [49]

Answer:

59/8 or 7 3/8

Step-by-step explanation:

make improper fractions, then multiply 1st one by to make denominator equal then subtract

6 0
3 years ago
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What is the value of the y in te equation y-13=57
12345 [234]
70 because 70 - 13 = 57
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