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erica
2 months ago
12

Chelsea has 11 times as many art brushes as Monique. If they have 60 art brushes altogether, how many brushes does Chelsea have?

Mathematics
1 answer:
zzz [12.3K]2 months ago
7 0
Let Monique have m brushes.
Chelsea then has <span>11m brushes because she has 11 times as many as Monique. Together they total 60 brushes, so we form the equation:

                                              m+11m=60.

Thus 12m=60, and dividing both sides by 12 gives m=5.

Chelsea has 11m=11*5=55 brushes.

Answer: 55</span>
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a speed limit of 100 kilometers per hour is approximately equal to 62 miles per hour. write an equation relating kilometers per
Svet_ta [12734]
The conversion between these units is 1 km/hr = 0.62 m/hr
8 0
2 months ago
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Using a profit P1 of $5,000, a profit P2 of $4,500, and a profit P3 of $4,000, calculate a 95% confidence interval for the mean
PIT_PIT [12445]

Answer:

Confidence Interval

Lower Limit = $4,233.3

Upper Limit = $4,766.7

With 95% certainty, SoftBus can anticipate that the average profit per customer will fall within the range of $4,233.30 to $4,766.7, based on the provided sample data.

Step-by-step explanation:

The z-score corresponding to 95% is 1.96

             Profit         Mean      Square Root

                           Difference    of MD

P1        $5,000       $500        $250,000

P2         4,500          0              0

P3         4,000       -500         $250,000

Total $13,500                        $500,000

Mean $4,500 ($13,500/3)    $166,667 ($500,000/3)

Standard Deviation = Square root of $166,667 = 408.2

Margin of error = (z-score * standard deviation)/n

= (1.96 * 408.2)/3

= 266.7

= $266.7

Confidence Interval = Sample mean +/- Margin of error

= $4,500 +/- 266.7

Lower Limit = $4,233.3 ($4,500 - $266.7)

Upper Limit = $4,766.7 ($4,500 + $266.7)

3 0
1 month ago
12x+7&lt;−11 AND5x−8≥4012
Svet_ta [12734]

Answer:

No solution

Step-by-step explanation:

Given: 12x+7 and  5x-8\geq 40

Handle each inequality separately.

12x+7              Utilizing the subtraction property of inequalities

12x

12x

x

x

and

5x-8\geq 40               Utilizing the addition property of inequalities

5x\geq 40+8

5x\geq 48

x\geq \dfrac{48}{5}

Thus, the solution to the combined inequality is the overlap of both solutions.

Refer to the attached image for the number line representation.

No solution

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3 months ago
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A father lifts a toddler 1.5 m up in the air. The child gains 187.5 J of energy in her gravitational potential energy store as a
Svet_ta [12734]

The toddler weighs 12.5 kg.

In-depth explanation:

The formula for gravitational potential energy is Ep=mgh where;

Ep=gravitational potential energy

m=mass of an object

g=gravitational field strength

h=height in meters

Given that; h= 1.5m, Ep=187.5J, g=10 N/kg then finding m;

Ep=mgh

187.5=m*10*1.5

187.5=15m

187.5/15 =15m/15

m=12.5 kg

Learn More

  • Gravitation potential energy:

Keywords: Mass, gravitational potential energy

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2 months ago
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