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AysviL [449]
3 years ago
15

Misty wishes to obtain 85 ounces of a 40% acid solution by combining a 72% acid solution with a 25% acid solution. How much of e

ach solution should Misty use?
Mathematics
1 answer:
Y_Kistochka [10]3 years ago
4 0

13.15 ounces of 72% acid and 71.85 ounces of 25% acid are needed

<u>Step-by-step explanation:</u>

Total mass of acid required= 85 ounces

Let the mass of 72% acid be 'a'

Let the mass of 25% acid be 'b'

a + b = 85

b = 85-a

85(40/100) = a(72/100) + b(25/100)

85(2/5) = a(72/100) +(85- a) (25/100)

34 = (72a/100) + (2125/100) - (25a/100)

34 - (2125/100) = (72a + 25a) /100

(3400-2125)/100 = 97a /100

97a = 1275

a =  13.15 ounces

b = 85 - 13.14

b = 71.85 ounces

13.15 ounces of 72% acid and 71.85 ounces of 25% acid are needed

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If angle ABD is 90 degrees. Select all of the angles that measure 42 degrees.
m_a_m_a [10]

Answer:

Measure of angle 2 and angle 4 is 42°.

Step-by-step explanation:

From the figure attached,

m∠ABC = 42°

m(∠ABD) = 90°

m(∠ABD) = m(∠ABC) + m(∠DBC)

90° = 43° + m(∠DBC)

m(∠DBC) = 90 - 43 = 47°

Since ∠ABC ≅ ∠4 [Vertical angles]

m∠ABC = m∠4 = 42°

Since, m∠3 + m∠4 = 90° [Complimentary angles]

m∠3 + 42° = 90°

m∠3 = 90° - 42°

        = 48°

Since, ∠5 ≅ ∠3 [Vertical angles]

m∠5 = m∠3 = 48°

m∠3 + m∠2 = 90° [given that m∠2 + m∠3 = 90°]

m∠2 + 48° = 90°

m∠2 = 90 - 48 = 42°

m∠3+ m∠4 = 90° [Since, ∠3 and ∠4 are the complimentary angles]

48° + m∠4 = 90°

m∠4 = 90 - 48 = 42°

Therefore, ∠2 and ∠4 measure 42°.

5 0
3 years ago
What’s the answer for simplify
Pepsi [2]

Answer:

it can be simplified

Ans:6x squared +9x-5

Step-by-step explanation:

8x squared minus negative 2x squared is equal to positive six squared, +9x cannot be simplified because there are no other liked terms and -5 too.

5 0
3 years ago
Geometry Help Please
Lunna [17]
Its B because B is the one that gives you most of the detail
4 0
3 years ago
Suppose a can of paint has a diameter of 14 cm and a height of 16 cm. What is the volume of paint in the can? (to nearest whole
alukav5142 [94]
Divide 14 by 2 to get the radius and plug into formula.
pi 7^2 16
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5 0
3 years ago
A cylindrical bin with a diameter of 15 feet 3 inches and a height of 24 feet 4 inches is used to hold wheat on the farm where y
Zepler [3.9K]

Given

A cylindrical bin with a diameter of 15 feet 3 inches and a height of 24 feet 4 inches is used to hold wheat.

One cubic foot holds 0.804 bushels

Find out bushels of wheat can be stored.

To proof

Formula

Volume\ of\ a\ cylinder = \pi r^{2}h

where r is the radius and h represent the height.

As given in the question

diameter = 15 feet 3 inches

height = 24 feet 4 inches

First convert inches into feet

I inches = 0.083 feet

15 feet 3 inches = 15 + 3 × 0.083

                          =    15.25 feet

Diameter = 15.25 feet

24 feet 4 inches = 24  + 4 ×0.083

                           = 24.33 feet

Height = 24.33 feet

Radius\ of\ cylinder = \frac{Diameter}{2}

Radius = 7.63 feet

\pi = 3.14

Put all the value in the above formula.

we get

Volume of the cylinder = 3.14× 7.63× 7.63× 24.33

                                      = 4447.55 foot³ ( approx)

As given

One cubic foot holds 0.804 bushels

Total bushels of wheat can be stored = 4447.55×0.804

                                                               = 3575.83 ( approx)

Total bhushels of wheat stored are  3575.83 ( approx).

Hence proved

6 0
3 years ago
Read 2 more answers
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