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3 years ago

How many square feet of outdoor carpet we need for this whole

Mathematics

2 answers:

DiKsa [7]3 years ago

3 0

41.5 sqft

Triangle on the right: (2x3)/2=2.5
Rectangle in the middle: 11x3=33
Triangle on the bottom left: (4x3)/2=6

2.5+33+6=41.5

e-lub [12.9K]3 years ago

3 0

51 feet
6x4=24 triangle on the left
7x3=21 rectangle
2x3=6 triangle on the right
24+21+6=51

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A school libary has 260 dvds in its collection. Given that 45% of the dvdas are science and 40% are about history. How many of t

Darina [25.2K]

Answer:

39 DVDs

Step-by-step explanation:

45% of 260

45/100 ×260

117 DVDs of science

40% of 260

40/100 × 260

104 DVDs of history

So from total subjects science and history

260 - (104+117)

260 - 221

39 DVDs of other subjects

In an easiest way 40 + 45

85% of science and history

So 15 % of other subjects

15/100 × 260

39 DVDs

8 0

3 years ago

Read 2 more answers

In an experiment, the temperature of a sample is measured as 16 degrees Celsius. If the percent error is 0.75%, how can you repo

dsp73

Answer: T=16 ± 0.12 ° CA Aw

Step-by-step explanation:

3 0

3 years ago

The sum of three numbers is 64. The second number is 3 more than the first. The third number is 11 less than twice the first. Fi

Cloud [144]

The first number: x
The second number: x + 3
The third number 2 * x - 11
Sum of all numbers: 65

We can write it down as an equation:

65 = x + 3 + x + 2x - 11
65 = 4x + 3 - 11
65 = 4x - 8 / + 8 (both sides)
73 = 4x / ÷ 6 (both sides_
x = 18,25

Doublecheck:

The first number: 18,25
The second number 18,25 + 3 = 21,25
The third number: 2 * 18,25 - 11 = 36,5 - 11 = 25,5
Sum of all numbers: 18,25 + 21,25 + 25,25 = 65, so it's correct :)

8 0

2 years ago

A trader bought m apples for $12.

Aleks [24]

Answer:

a) total cost of m apples= $12 = 1200 cents

($1= 100cents, so $12= 12×100 cents)

cost of each apple= 1200/m

b) Number of apples sold= m-3

selling price of each apple= (1200/m) +2

Total sum received from sales:

$(\frac{1200}{m} + 2)(m - 3) \\ = \frac{1200}{m} (m) - 3( \frac{1200}{m}) + 2m - 3(2) \\ = 1200 - \frac{3600}{m} + 2m - 6 \\ = (2m + 1194 - \frac{3600}{m} ) \: cents$

c) profit= amount received- amount spent on buying apples

96= 2m +1194 -3600/m -1200

2m -6 -96 -3600/m =0 (simplify, bring 96 over)

2m- 102 -3600/m =0

2m^2 -102m -3600 =0 (multiply by m on both sides)

m^2 -51m -1800 =0 (divide by 2 on both sides)

(shown)

d) m^2 -51m -1800=0

$x = \frac{ -b± \sqrt{{b}^{2} - 4ac } }{2a}$

Hence, using the above formula,

$m = \frac{ - ( -51)± \sqrt{( - 51) {}^{2} - 4(1)( - 1800) } }{2(1) } \\ m = \frac{51± \sqrt{9801} }{2} \\ m = 75 \: \: \: \: \: or \: \: \: \: \: m = - 24$

e) Thus, selling price of each apple

= 1200/75 +2

= 18 cents

This is found by substituting the value of m, which is 75, into the equation of the selling price of each apple which we found earlier in part b.

note: do not reject m= -24 in part d because you are simply solving the equation not finding out the number of apples the trader bought, m.

We ignore m= -24 in part e as it is not possible for the number of apples bought be a negative number

6 0

3 years ago

A researcher is selecting lab rats for her experiment. She assigns each rat a number and picks numbers out of a hat while blindf

laiz [17]

Answer: $\dfrac{76}{89}$

Step-by-step explanation:

The pool of rats from which the researcher is drawing participants is composed of the following:

23 male albino rats

21 male spotted rats

35 female albino rats

11 female spotted rats

Total rats = 23+21+35+11 =90

$P(male\ albino)=\dfrac{23}{90}$

After drawing first rat , total rats remained = 89

$P(\text{either a female albino rat or a male spotted rat})=\dfrac{35+21}{89}=\dfrac{76}{89}$

The probability of choosing a male albino rat and then either a female albino rat or a male spotted rat = $\dfrac{76}{89}$

7 0

3 years ago