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Yuri [45]
2 years ago
10

An online store sells only two types of bandanas: cotton bandanas and silk bandanas. Cotton bandanas cost $7 each, and silk band

anas cost $11 each. Mrs. Tran spent a total of $93 on bandanas at this store. How many cotton bandanas did Mrs. Tran buy
Mathematics
1 answer:
qwelly [4]2 years ago
8 0

Given :

An online store sells only two types of bandanas: cotton bandanas and silk bandanas. Cotton bandanas cost $7 each, and silk bandanas cost $11 each.

Mrs. Tran spent a total of $93 on bandanas at this store.

To Find :

How many cotton bandanas did Mrs. Tran buy.

Solution :

Let, number of cotton and silk bandanas buys are x and y respectively.

So, 7x + 11y = 93

x = (93 - 11y)/ 7

Putting y = 1 , x = 82/7 ( not possible since x can only be positive integer )

Putting y = 4 , x = 7

Therefore, Mrs . Tran will buy 7 cotton bandanas.

Hence, this is the required solution.

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A sphere is just enclosed inside a right circular cylinder. If the volume of the sphere is 140 cm3, find the volume of the gap b
alexgriva [62]
-----------------------------------------------------------
Find Radius :
-----------------------------------------------------------
\text {Volume of a sphere =}   \dfrac{4}{3}  \pi r^3

\dfrac{4}{3}  \pi r^3 = 140

\pi r^3 = 140 \times  \dfrac{3}{4}

\pi r^3 = 105

r^3 =  \dfrac{105}{ \pi}

r = 3.22 \ cm

-----------------------------------------------------------
Find volume of the cylinder :
-----------------------------------------------------------
\text {Volume of the cylinder = } \pi r^2h

\text {Volume of the cylinder = } \pi ((3.22)^2(3.22 \times 2)

\text {Volume of the cylinder = } 209.77 \ cm^3

-----------------------------------------------------------
Find volume of the gap :
-----------------------------------------------------------
\text {Volume of gap = } 209.77 - 140

\text {Volume of gap = } 69.77 \ cm^3

-----------------------------------------------------------
\bf \text {Answer : } 69.77 \cm^3
-----------------------------------------------------------

6 0
3 years ago
The number of pens used varies directly with the number of pieces of paper needed. If 12 pens are used when 40 pieces of paper a
svetlana [45]

Answer:


Step-by-step explanation:

Y=KX


P=KX

12=K40

12/40=K

.3=K

P=.3X

P=.3(240)

P=72

6 0
3 years ago
An arithmetic sequence has a1 = 22 and a8 = 43. Find a15.
brilliants [131]

The 15th term of the arithmetic sequence a_{15} = 64

Option B is correct

The nth term of an arithmetic sequence is given as:

a_{n} = a + (n - 1)d

The first value, a = 22

a_8 = a+(8 - 1)d\\a_8 = a + 7d

Since a_8 = 43

43 = 22 + 7d\\7d = 43 - 22\\7d = 21\\d = \frac{21}{7}\\d = 3

The common difference, d = 3

a_{15}= a + (15-1)d\\a_{15} = a + 14d\\a_{15} = 22 + 14(3)\\a_{15} = 22 + 42\\a_{15} = 64

The 15th term of the arithmetic sequence = 64

Learn more here: brainly.com/question/24072079

4 0
2 years ago
PLEASE HELP PLESD PLED​
-BARSIC- [3]

Answer:

<h2>x = 35</h2>

Step-by-step explanation:

Because the angles are vertical angles, they must be equal.

3x + 7 = 112

3x = 105

x = 35

Check

3(35) + 7 = 112

112 = 112 Correct

7 0
2 years ago
Read 2 more answers
9 / 3/4 into a improper fraction
sleet_krkn [62]

Answer:

39/4

Step-by-step explanation:

Step 1 - Setup

First, we set up the mixed number 9 3/4 with different colors, so it is easy to follow along:

9

   3  

   4  

Step 2 - Multiply

Next, we multiply the whole number by the denominator.

9 x 4 = 36

Step 3 - Add Numerator

Then, we add the numerator to the answer we got in Step 2.

36 + 3 = 39

Step 4 - Solution

Finally, to get the solution, we keep the original denominator and make the numerator the answer from Step 3. Thus, 9 3/4 as an improper fraction is:

   39  

   4  

5 0
3 years ago
Read 2 more answers
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