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Whitepunk [10]
3 years ago
5

The grocery store makes a 20% profit on baked goods. The profit for baked goods last month was $600. What was the total sales fo

r baked goods last month
Mathematics
1 answer:
torisob [31]3 years ago
4 0

Let x = total sales of baked goods      remember 20% = .20 as a decimal

so the equation would be .20x = $600

divide both sides by .20

                                     .20x/.20 = $600/.20

           

                                                x = $3000 the total sales of baked goods

CHECK:  20% times $3000 = .20 times $3000 = $600

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How much energy in joules can the solar panel produce each day if solar cells were 100% efficient and generate 1000 watts of pow
notsponge [240]

Answer:

The solar panel produce 6.48 × 10⁶ J of energy each day.

Step-by-step explanation:

If the solar cells were 100% efficient and generate 1000 watts of power per square meter

The power generated per square meter will be

\frac{100}{100} \times 1000 watts/m^{2}

= 1000 watts/m²

This is the power that would be generated per square meter if the solar cells were 100% efficient.

Now, for a 1 square meter panel of solar cells with an efficiency of 30%, the power generated will be

\frac{30}{100} \times 1000 watts/m^{2} \times 1m^{2}

= 300 watts

This is the power that would be generated by a 1 square meter panel of solar cells with an efficiency of 30%

Now, to determine the energy in joules (J) that the solar panel produce each day

We can determine the energy from the formula

Energy = Power × time

From the question, the solar cells receives the equivalent of 6 hours of direct sunlight per day, that is

Time = (6 × 60 × 60) secs = 21600 secs

Hence,

Energy = 300 watts × 21600 secs

Energy = 6480000 Joules

Energy = 6.48 × 10⁶ J

8 0
3 years ago
Read 2 more answers
A train leaves San Diego at 1:00 pm. A second train leaves the same city in the same direction at 3:00 pm. The second train trav
Soloha48 [4]

Answer:

The speed of the first train is 45 mph and the speed of the second train is 75 mph

Step-by-step explanation:

Let x represent the speed of the first train in mph. Since the second train, is 30 mph faster then the first, therefore the speed of the second train is (x + 30).

The first train leaves at 1:00 pm, therefore at 6:00 pm, the time taken is 5 hours. Therefore the distance covered by the first train at 6:00 pm = x mph * 5 hours = 5x miles

The second train leaves at 3:00 pm, therefore at 6:00 pm, the time taken is 3 hours. Therefore the distance covered by the second train at 6:00 pm = (x + 30) mph * 3 hours = (3x + 90) miles

Since the second train overtakes the first at 6:00 pm, hence:

3x + 90 = 5x

2x = 90

x = 45

Therefore the speed of the first train is 45 mph and the speed of the second train is 75 mph (45 mph + 30 mph).

7 0
3 years ago
How to solve 4+7*-5*-6
andrew-mc [135]
The answer is 0
Explanation
When doing PEMDAS you always move from left to right
4+7=11
-5-6=-11
11-11
= 0
7 0
3 years ago
Can someone help me with this?
NikAS [45]

my brother did that too but I'm sorry i cant help you but I'm gonna say just keep up the good work

3 0
3 years ago
An automobile traveling at the rate of 30 ft/sec is approaching an intersection. When the automobile is 120 feet from the inters
Trava [24]

Answer:

Distance between automobile and the truck is 100 feet.

Step-by-step explanation:

Speed of the automobile towards the intersection = 30 ft per sec

Speed of the truck that crosses the intersection = 40 ft per sec.

Automobile is 120 feet apart when the truck passes through the intersection.

After 2 seconds distance traveled by the automobile = Speed × time

= 30 × 2

= 60 feet

So the distance of the automobile from the intersection = 120 - 60

= 60 feet

Distance traveled by truck in 2 seconds = 40 × 2

= 80 feet

Now distance between them can be calculated by Pythagoras theorem

Distance = \sqrt{(60)^{2}+(80)^{2}}

= \sqrt{3600+6400}

= \sqrt{10000}

= 100 feet

Therefore, after 2 seconds distance between the truck and the automobile will be 100 feet.

4 0
3 years ago
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