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Savatey [412]
3 years ago
11

A machine packs boxes at a constant rate of 2/3 of a box every 1/2 minute. Which is the number of boxers per minute that the mac

hine packs?
a. 1/3
b. 3/4
c. 1 1/6
d. 1 1/3

Please show work, thankyou.
Mathematics
2 answers:
iragen [17]3 years ago
8 0
Try dividing 2/3 by 1/2 idk if u can get any of those ansewrs
AURORKA [14]3 years ago
8 0
Simplifying this sum if it packs two thirds of a box every half minute then In one minute it would pack four thirds of a box or in mixed numbers this would be one and one third boxes per minute
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A phone company offers two monthly plans. Plan A costs $11 plus an additional $0.16 for each minute of calls. Plan B costs $29 p
Andrew [12]

Answer:

The plans will cost the same when the amount you have to pay for talking for "x" minutes on Plan A is the same has what you have to pay for talking for the same number of "x" minutes when using Plan B.

 

$$ Plan A = $$ Plan B

 

To find the charge on each plan we add the base rate to the per minute call rate for each.

 

Plan A = $27 + $0.11x

Plan B = $13 + $0.15x

 

Let's drop the $ sign for now and get rid of the decimal point by multiplying by 100.

 

2700 + 11x = 1300 + 15x

 

Subtracting 11x and 1300 from both sides:

 

4x = 1400

 

x = 350 min.

 

Using this result the plans both cost $65.50 for 350 min of talk time.

Step-by-step explanation:

boom   :)

5 0
3 years ago
Find the total surface area of the triangular prism
GuDViN [60]

Answer:

1,008\:\mathrm{cm^2}

Step-by-step explanation:

The total surface area of this triangular prism consists of three rectangles and two triangles. Adding the areas of each of these shapes allows us to find the total surface area of this 3D figure:

Area of both triangles:

2\cdot \frac{1}{2}\cdot12\cdot 14=168\:\mathrm{cm^2}

Area of all three rectangles:

15\cdot 20 +13\cdot 20+14\cdot 20=840\:\mathrm{cm^2}

Therefore, the total surface area of this figure is:

840+160=\fbox{$1,008\:\mathrm{cm^2}$} \: \checkmark

3 0
2 years ago
Evaluate: <br><br>6-(2/3)^2<br><br>A. 17/3<br>B. 52/3<br>C. 49/9<br>D. 50/9​
Komok [63]

Answer:

The correct answer is: "Option [D]".

Step-by-step explanation:

Hi student, let me help you out!

<u>....................................................................................................................................</u>

Let's use the acronym PEMDAS. With the help of this little acronym, we will not make mistakes in the Order of Operations!  :)

\dag\textsf{Acronym \: PEMDAS}

P=Parentheses,

E=Exponents,

M=Multiplication,

D=Division,

A=Addition,

S=Subtraction.

Now let's start evaluating our expression, which is \mathsf{6-(\cfrac{2}{3})^2}

According to PEMDAS, the operation that we should perform is "E-Exponents".

Notice that we have a fraction raised to a power. When this happens, we raise both the numerator (2 in this case) and the denominator (3 in this case) to that power, which is 2. After this we obtain  \mathsf{6-\cfrac{4}{9}}.

See, we raised both the numerator and the denominator to the power of 2.

Now what we should do is subtract fractions.

Note that 6 and -4/9 have unlike denominators. First, let's write 6 as a fraction: \mathrm{\cfrac{6}{1}-\cfrac{4}{9}}. Now let's multiply the denominator and the numerator of the first fraction times 9: \mathrm{\cfrac{54}{9}-\cfrac{4}{9}}.

See, now the fractions have the same denominator. All we should do now is subtract the numerators: \mathrm{\cfrac{50}{9}}.

∴, the answer is Option D.

Hope this helped you out, ask in comments if any queries arise.

Best Wishes!

\star\bigstar\underline{\overline{\overline{\underline{\textsf{Reach \: far. Aim \: high. Dream \: big.}}}}}\bigstar\star

\underline{\rule{300}{5}}

5 0
2 years ago
Read 2 more answers
What number is 28% of 25?
Anvisha [2.4K]

Answer:

7

Step-by-step explanation:

what number is 28% of 25

Is means equals and of means multiply

N = 28% of 25

Change to decimal form

N = .28* 25

N =7

7 0
3 years ago
Read 2 more answers
A sports store received a shipment of 150 footballs and basketballs. 20% were basketballs. How many footballs were in the shipme
RideAnS [48]
0.20(150) = 30 basketballs were in the shipment. Since the shipment presumably comprised only footballs and basketballs, the remainder of the shipment must consist of footballs.

150 - 30 = 120 footballs were in the shipment.
7 0
2 years ago
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