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Gekata [30.6K]
2 years ago
12

An accounting machine operator wanted to divide an 85-minute job between two identical machines so that one machine would take o

ne and a half times as long as the other. how much time (in minutes) was taken by the machine doing the longer job?

Mathematics
1 answer:
Lubov Fominskaja [6]2 years ago
6 0
To find how much time the machine that took the longer job is, you would create an equation in terms of X, the amount of time it takes one of the machines.

Please see the attached picture for the work.

51 minutes is the longer time.
34 minutes for the other machine.

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Callan goes for a hike every Saturday. Callan hikes at a rate of 333 miles per hour.
OverLord2011 [107]

Answer:

1 3

3 9

5 15

Step-by-step explanation:

7 1
2 years ago
Find the smallest positive integer k such that 360k is a cube number
Gnoma [55]
Hello,

As 360=2^3*3^2*5,

360k=n^3 <==>k=3*5^2*a^3=75*a^3

Smallest integer is 75

6 0
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the equation is y=2.50x+3

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Read 2 more answers
A quadratic function has a line of symmetry at x = –3.5 and a zero at –9. What is the distance from the given zero to the line o
kap26 [50]

Given:

A quadratic function has a line of symmetry at x = –3.5 and a zero at –9.

To find:

The other zero.

Solution:

We know that, the line of symmetry divides the graph of quadratic function in two congruent parts. So, both zeroes are equidistant from the line of symmetry.

It means, line of symmetry passes through the mid point of both zeroes.

Let the other zero be x.

-3.5=\dfrac{(-9)+x}{2}

Multiply both sides by 2.

-7=-9+x

Add 9 on both sides.

-7+9=-9+x+9

2=x

Therefore, the other zero of the quadratic function is 2.

8 0
2 years ago
A pet store owner, Byron, needs to determine how much food he needs to feed the animals. Byron knows that he needs to order the
Brums [2.3K]

Answer:

He needs to buy 120 packages of dod food.

Step-by-step explanation:

b - bird food

h - hamster food

d - dog food

c - cat food

b + h + d + c = 600

b = h (bird food is the <em>same</em> as hamster food)

b = 4 d (bird food is <em>4 times</em> dod food)

c = d/2 (cat food is <em>half</em> dog food)

Total of packages ordered.

b + b + d + c = 600

4d + 4d + d + d/2 = 600

4 d + 4 d + d + d = 600. 2

10 d = 1.200

d= 120 .........the amount of dog food packages.

     

6 0
2 years ago
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