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miskamm [114]
3 years ago
13

3 1/7 x 2 2/8 (multiply fractions)

Mathematics
1 answer:
k0ka [10]3 years ago
5 0

Answer:

.214 if it is to 3 decimal places.

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two brothers marco and fernando are training for a marathon marco runs at a rate of 6miles per hor. Fernando funs at at a rate o
satela [25.4K]
We know that
speed=distance/time
solve for time
time=distance/speed

in this problem
<span>Marco runs at a rate of 6 miles per hour. 
</span><span>Fernando funs at a rate of 7.2 miles per hour
Difference=7.2-6=1.2 miles/hour
so
speed=1.2 miles/hour
distance=0.3 miles
time=?
</span>time=distance/speed-----> 0.3/1.2-----> 0.25 hour-----> 0.25*60=15 minutes
<span>
the answer is
0.25 hour (15 minutes)

Alternative Method
Let 
x---------> Fernando's distance when Marco is 0.3 miles apart

</span>Fernando funs at a rate of 7.2 miles per hour
<span>for distance =x
time=x/7.2------> equation 1

</span>Marco runs at a rate of 6 miles per hour. 
for distance=x-0.30
time=(x-0.30)/6------> equation 2

equate equation 1 and equation 2
 7.2*(x-0.3)=6x-----> 7.2x-2.16=6x
7.2x-6x=2.16------> x=2.16/1.2-------> x=1.8 miles

time=x/7.2-----1.8/7.2=0.25 hour
6 0
3 years ago
A plumbing supply company has fixed costs of $9,000 per month and average variable costs of $9.30 per unit manufactured. The com
nekit [7.7K]

Answer:

8710 units

Step-by-step explanation:

<em>Step 1: Write all the data</em>

Fixed cost: $9000

Average variable cost: 9.3 per unit

Total cost: 90,000

Total units: x

<em>Step 2: Find the total variable cost</em>

Average variable cost is per unit so it has to be multiplied by the number of units to find the total variable cost.

Total variable cost = average variable cost per unit x number of units

Total variable cost = 9.3x

<em>Step 3: Make the formula for finding x</em>

Total cost = total fixed cost + total variable cost

90,000 = 9000 + 9.3x

81000 = 9.3x

x = 8709.67

Rounded off to 8710 units

!!

3 0
3 years ago
A basketball is 11 times as heavy as a tennis ball. If a tennis ball weighs 58 grams, what is the weight of a basketball in kilo
Vlada [557]

Answer:

0.638 KGs or 638 grams

Step-by-step explanation:

as we know 1000grams = 1 kilogram

therefore the weight of basketball :

11*58/1000 = 0.638 KGs

8 0
2 years ago
Ten points per answer plz hurry this is a timed quiz
4vir4ik [10]

Answer:

the solution is given by s=9 because it makes the value of 3s+12 equal to 21

Step-by-step explanation:

5 0
3 years ago
Answer, please. I need help.
Ghella [55]

Answer:

-8x^12

Step-by-step explanation:

When you have an exponent outside of parenthesis, it is raising everything in the parenthesis to that exponent (in this case, the third). The first step to solve this is to multiply the exponents in the parenthesis by 3. This is called the power of a power rule.

-2 is being raised to the first power. 1x3 = 3, and x is being raised to the fourth power. 4x3 = 12, so you now have:

-2^3x^12

You can simplify -2^3: -2 x -2 x -2 = -8

This leaves you with -8x^12

You can check this by putting -8x^12 and (-2x^4)^3 into a graphing calculator. You know that you simplified correctly if they show the same graphs.

7 0
2 years ago
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