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3 years ago

Subtract 8 feet from 9 yards, 1 foot

Mathematics

1 answer:

Advocard [28]3 years ago

4 0

Answer:

20 feet

Step-by-step explanation:

There are 3 feet in a yard, so 9 yards and 1 foot = 28 feet. You find this by multiplying 9x3 = 27 and adding the extra foot, which makes it 28. To find the final answer just subtract 8 from 28, which gives you 20.

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A pharmacist has an 18% alcohol solution and a 40% alcohol solution. How much of each should he mix together to make 10 liters o

ladessa [460]

X = amount of the 18% solution

y = amount of the 40% solution

we know the 18% solution has only 18% of alcohol, the rest is maybe water or something, now, how many liters is 18%? well, 18% of anything is just (18/100) * anything, so, 18% of x is just (18/100) *x or 0.18x, and that's how many liters are there.

likewise, how many liters are there in the 40% solution? well, (40/100) * y, or 0.4y, that many.

we know the mixture has to yield 10 liters at 20% alcohol, how many liters of only alcohol is that? well, (20/100) * 10, or 2 liters.

$\bf \begin{array}{lccclll}
&\stackrel{liters}{amount}&\stackrel{alcohol~\%}{quantity}&\stackrel{liters}{alcohol}\\
&------&------&------\\
\textit{18\% solution}&x&0.18&0.18x\\
\textit{40\% solution}&y&0.40&0.4y\\
------&------&------&------\\
mixture&10&0.20&2
\end{array}$

$\bf \begin{cases}
x+y=10\implies \boxed{y}=10-x\\
0.18x+0.4y=2\\
----------\\
0.18x+0.4\left( \boxed{10-x} \right)=2
\end{cases}
\\\\\\
0.18x-0.4x+4=2\implies -0.22x=-2
\\\\\\
x=\cfrac{-2}{-0.22}\implies x=\cfrac{100}{11}\implies x=9\frac{1}{11}$

how much of the 40% solution? well y = 10 - x

3 0

3 years ago

On a level field, a telephone pole 24 feet tall casts a shadow 6 feet long, and at the same time of day, another nearby telephon

nalin [4]

E. 72
6 feet long cast shadow = 24 feet pole
18 feet long cast shadow = 72 feet pole
18/6=3
24x3=72

5 0

3 years ago

A spherical hot air balloon has a diameter of 55 feet when the balloon is inflated the radius increases at a rate of 1.5 feet pe

Nuetrik [128]

Answer: 46.90mins

Step-by-step explanation:

The given data:

The diameter of the balloon = 55 feet

The rate of increase of the radius of the balloon when inflated = 1.5 feet/min.

Solution:

dr/dt = 1.5 feet per minute = 1.5 ft/min

V = 4/3·π·r³

The maximum volume of the balloon

= 4/3 × 3.14 × 55³

= 696556.67 ft³

When the volume 2/3 the maximum volume

= 2/3 × 696556.67 ft³

= 464371.11 ft³

The radius, r₂ at the point is

= 4/3·π·r₂³

= 464371.11 ft³

r₂³ = 464371.11 ft³ × 3/4

= 348278.33 ft³

348278.333333

r₂ = ∛(348278.33 ft³) ≈ 70.36 ft

The time for the radius to increase to the above length = Length/(Rate of increase of length of the radius)

The time for the radius to increase to the

above length

Time taken for the radius to increase the length.

= is 70.369 ft/(1.5 ft/min)

= 46.90 minutes

46.90mins is the time taken to inflate the balloon.

5 0

2 years ago

The principal P is borrowed at a simple interest rater for a period of time t. Find the loan's future value A, or the total amou

Andrews [41]

Simple interest formula:
I=PRT

I(interest money created in dollars)
P(initial amount of money)
R(interest rate as a decimal)
T(time in years)

I=7000(.07)(6)
I=$2,940

Therefore, the future value of A is $2,940

8 0

2 years ago

sherman has 3 cats and 2 dogs he wants to buy sa toy for each of his pets sherman has 22$ to spend on toys how much can he spend

son4ous [18]

Total pets = 3+2 =5.

Total money = $22

Money for each pet would be:

22/5 in fraction .

$4.40 in dollars & cents.

7 0

3 years ago