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kipiarov [429]
3 years ago
14

Jones assembles 200 relays in the same time that Smith assembles 180. When Jones has completed 300 relays, how many will Smith h

ave turned out?
Mathematics
1 answer:
Finger [1]3 years ago
4 0

Answer:

270

Step-by-step explanation:

Jones turns out 200 relays to Smith's 180. You set up that basic ratio and make a proportion out of it.

S/J = 180/200

Now you make your proportion

S/J = x/300

But the 2 ratios much remain the same.

180/200 = x / 300                  Multiply both sides by 300

180*300/200 = x                    Multiply the numerator together.

54000/200 = x                       Do the division

270 = x

Smith will have turned out 270 relays.

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The sum of three consecutive numbers is 72 what is the smallest of the numbers
mylen [45]

Answer:

23

Step-by-step explanation:

Suppose,

the first number = x

the second number = x+1

the third number = x+1+1 = x+2

Question wise,

x+x+1+x+2 = 72

3x+3 = 72

3x = 72-3 = 69

x = 69/3 = 23

so the numbers are,

23,(23+1)=24 and (23+2)=25

6 0
3 years ago
What is the equation of the line that passes through the point 4, -6 and has a slope of -3
zheka24 [161]
Y = mx + b. Use this equation for most linear functions. Enter the information that is given to you.
- 6 =  - 3(4) + b
Multiply the -3 and 4 to get 12.
-6 =  - 12 + b
Now divide the -12 from both sides.
\frac{ - 6}{ - 12}  =   \frac{ - 12}{ - 12}  + b
-12 cancels out on the right side and your left with
- \frac {1}{2}  = b
Now re-enter the info back into the formula.
y =  - 3x  -  \frac{1}{2}
Then you've got your formula
4 0
3 years ago
Factor the expression by finding the GCF. 16m2 − 12m
ziro4ka [17]

Answer:

4m(4m-3)

Step-by-step explanation:

16m^2 − 12m

16 m^2 = 2*2*2*2*m*m

12m = 2*2*3*m

The greatest factor for 16m^2 and 12m is 2*2*m  or 4m

Factor out 4m

16 m^2 = 2*2*2*2*m*m = 4m(2*2m)=4m(4m)

12m = 2*2*3*m = 4m(3)

Factoring out 4m

16m^2 − 12m

4m(4m-3)

3 0
3 years ago
Read 2 more answers
PLzzzzzzz helppppppppp!!!
fomenos
5. y = -3 x - 8

6. y = - 1/2 x + 1
7 0
3 years ago
If x+y=10 and x-y=4,find the value of x*x-y*y
Irina18 [472]
Hi,
x^2-y^2=(x+y)*(x-y)=10*4=40
6 0
3 years ago
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