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katrin2010 [14]
3 years ago
5

DeShawn uses 3/4 of a box of rice to cook dinner. The portion he uses weighs 12 ounces. Write and solve and equation to find the

weight of the full box kf rice.
Mathematics
2 answers:
lbvjy [14]3 years ago
8 0
The answer is 15 fam m8
Hitman42 [59]3 years ago
5 0
3/4=12
1/4 = 3
12+3= 15

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Find the sum of the given arithmetic series. 24 + 48 + 72 + 96 +...+ 480
Alja [10]

Answer:

5040

Step-by-step explanation:

The given series is :

24 + 48 + 72 + 96 +...+ 480

The first term, a= 24

Common difference, d = 24

The last term, a_n=480

Let there are n terms in the AP.

So,

a_n=a+(n-1)d\\\\480=24+(n-1)24\\\\480=24+24n-24\\\\n=20

There are 20 terms in the series. The sum of 20 terms is :

S_{20}=\dfrac{n}{2}(2a+(n-1)d))\\\\=\dfrac{20}{2}\times (2(24)+19(24))\\\\=5040

So, the sum of the given arithmetic series is equal to 5040.

8 0
3 years ago
The arc of the parabola y = x^2 from (3,9) to (4,16) is rotated about the y-axis. Find the area of the resulting surface. Please
Hitman42 [59]

Answer:

156.5

Step-by-step explanation:

Thinking process:

The area can be calculated using the formula:

S = \int\limits^4_3 {2\pi x\sqrt{1+}(2x)^{2} } \, dx

We let the substitution take place.

Therefore, we let u = 1 + 4x^{2}

Thus, du = 8dx.

So,

xdx = \frac{1}{8}du

Also, the interval of the integration changes to [ 37, 65]

Thus,

S = \int\limits^4_3 {2\pi \sqrt{1+4x^{2} } } \, dx \\= \int\limits^65_35 {2\pi \sqrt{\frac{1}{8}u } } \, dx

= \frac{1}{6} [ 65^{\frac{3}{2}-37^{\frac{3}{2} }  }

= 156.5 units²

8 0
3 years ago
A bicycle has a listed price of 837.95 before tax if the sales tax rate is 7.5% find the total cost of the bicycle with a sales
Andru [333]

Answer:

The total cost of a bicycle after the tax = $900.8

Step-by-step explanation:

Given

  • The cost of a bicycle before tax = 837.95 (let say in $)
  • Sales tax = 7.5% = 0.075

To determine

The total cost of the bicycle with a sales tax include

The tax amount can be calculated by multiplying Sales tax i.e. 0.075 with the cost of bicycle before tax i.e. 837.95.

Thus,

Tax amount = 7.5% × 837.95

                    = 0.075 × 837.95

                    = $62.85

Thus, the tax amount is: $62.85

Total cost after the tax can be calculated by adding the Tax amount and the cost before tax.

Therefore,

The total cost of a bicycle after the tax = $62.85 + $837.95

                                                                 = $900.8

Hence, the total cost of a bicycle after the tax = $900.8

4 0
3 years ago
Read 2 more answers
Write as a decimal number.<br> 9-10
Ad libitum [116K]

Answer:

.9

Step-by-step explanation:

9 divided by 10

8 0
3 years ago
6% as ratio in simplest form.
Kitty [74]

Answer:

3 : 50

Step-by-step explanation:

6% = 0.06

0.06 = 6/100

6/100 = 3/50

3/50 = 3 : 50

6 0
3 years ago
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