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1 year ago

A camera is selling for $7.50 off the regular price. It was marked down 15%. A student used the equation:

Mathematics

2 answers:

Sonbull [250]1 year ago

8 0

Answer:

A camera is selling for $7.50 off the regular price. It was marked down 15%.

Let the regular price be x

We can solve as follows:

$x-0.15x=7.50$

=> $0.85x=7.50$

=> x = 8.82

The correct regular price is $8.82.

A student used the equation:

15(7.5) = Original price

and found the regular price of the camera to be $112.50.

The student did the wrong calculation. He simply took 15% of selling price.

He should have done 15% of regular price that will come to be the selling price.

andrezito [222]1 year ago

4 0

Answer:

The student should have divided the discounted amount by the percent. The percent should have been written as a decimal.

Step-by-step explanation:

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Noor brought 212121 sheets of stickers. She gave \dfrac{1}{3} 3 1 start fraction, 1, divided by, 3, end fraction of a sheet to

My name is Ann [436]

Answer:

12 teachers will get 1/2 sheets each

Step-by-step explanation:

Noor bought 21 sheets of stickers

She gave 1/3 sheets to each 45 students

She wants to give teachers 1/2 of sheets

The question should be: how many teachers will she give

Total sheets=21

Students gets= 1/3 × 45

=45/3

=15 sheets

Remaining sheet= total sheets - students sheets

=21-15

=6 sheets

There are 6 sheets remaining for teachers

She wants to give 1/2 to each teacher

Then,

The number of teachers that will get =Remaining sheets ÷ each teacher's share

=6 ÷1/2

=6 × 2/1

=12 teachers

12 teachers will get 1/2 sheets each

5 0

1 year ago

A school replaced 20% of it computers with new ones . what the total number of computers in the school if 55 computers were repl

sladkih [1.3K]

The total is 275 because 100% divided by 20% is 5 and if 20%= 55 then that means that 55 goes into 100% 5 times so you multiply 55 by 5 to get 275. Hope I helped! Please rate me as the brainliest!

7 0

2 years ago

Megan consumed 3.5 gallons of water in one day. How many milliliters are equal to 3.5 gallons, if 1 liter = 1,000 milliliters an

baherus [9]

1 gallon = 3.785 liters

3.5 * 3.785 = 13.2475 total liters

1 liter = 1000 milliliters

13.2475 * 1000 = 13,247.5 milliliters

Answer is B

3 0

2 years ago

Read 2 more answers

An open-top rectangular box is being constructed to hold a volume of 150 in3. The base of the box is made from a material costin

Oksanka [162]

Answer:

minimum cost of construction box are x = x = 3.4199 in and y = 10.2598 in and z = 4.2750 in

Step-by-step explanation:

given data

volume = 150 in³

base material costing = 5 cents/in²

front cost = 10 cents/in²

remainder sides cost = 2 cents/in²

to find out

the dimensions that will minimize the cost

solution

we consider here length = x and breadth = y and height = z

and

area of base = xy

area of front = xz

and area of remaining side = xz + 2yz .....................1

cost of base will be = 5xy

cost of front = 10xz

cost of remaining side = 2 ( xz+ 2yz)

and

total cost will be

total cost TC = 5xy + 10xz + 2 ( xz+ 2yz)

total cost TC = 5xy + 10xz + 2xz+ 4yz

total cost TC = 5xy + 12xz + 4yz ....................2

and total volume will be = xyz

150 = xyz

z = $\frac{150}{xy}$ .......................3

now put z value in equation 2

total cost TC = 5xy + 12xz + 4yz

total cost TC = 5xy + 12x $\frac{150}{xy}$ + 4y $\frac{150}{xy}$

total cost TC = 5xy + $\frac{1800}{y}$ + $\frac{600}{x}$ ...........4

now differentiate TC w.r.t x and y

TC (x) = 5y - $\frac{600}{x^2}$

TC (x) = 5x - $\frac{1800}{y^2}$

now equating with 0 these

5y - $\frac{600}{x^2}$ = 0

x² = $\frac{120}{y}$

and

5x - $\frac{1800}{y^2}$ = 0

x = $\frac{360}{y^2}$

solve we get

y = 10.2598

x = 3.4199

now put x and y value in equation 3

z = $\frac{150}{xy}$

z = $\frac{150}{3.4199*10.2598}$

z = 4.2750

so minimum cost of construction box are x = x = 3.4199 in and y = 10.2598 in and z = 4.2750 in

4 0

2 years ago

Isaiah scores with 50% of his penalty kicks in soccer. He flips two fair coins to conduct a simulation with 20 trials to determi

MariettaO [177]

Answer:

The probability that Isaiah will make both penalty kicks is 25%.

Step-by-step explanation:

We are given that Isaiah scores with 50% of his penalty kicks in soccer.

He flips two fair coins to conduct a simulation with 20 trials to determine the likelihood that he will make his next two penalty kicks.

The above situation can be represented through binomial distribution;

$P(X =r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r};x=0,1,2,3,......$

where, n = number of trials (samples) taken = 2 penalty kicks

r = number of success = make both penalty kicks

p = probability of success which in our question is probability

that Isaiah scores with his penalty kicks, i.e; p = 50%

Let X = Number of penalty kicks made by Isaiah

So, X ~ Binom(n = 2 , p = 0.50)

Now, Probability that Isaiah will make both penalty kicks is given by = P(X = 2)

P(X = 2) = $\binom{2}{2} \times 0.50^{2} \times (1-0.50)^{2-2}$

= $1 \times 0.50^{2} \times 0.50^{0}$

= 0.25 or 25%

Hence, the probability that Isaiah will make both penalty kicks is 25%.

8 0

2 years ago