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Alla [95]
3 years ago
6

What is the mixed number for 18/15

Mathematics
1 answer:
bearhunter [10]3 years ago
5 0
15 goes into 18 once with 3 remainder.

18/15-15/15=3/15=1/5

So the answer is:
1 \frac{1}{5}
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Toby wants to find the volume of a solid toy soldier.
mr Goodwill [35]

Answer:

Toby wants to find the volume of a solid toy soldier.He fills a rectangular container 8 cm long, 6 cm wide,and 10 cm high with water to a depth of 4 cm. Toby totally submerges the toy soldier in the water. The height of the water with the submerged toy soldier is 6.6 cm. Which of the following is closest to the volume, in cubic centimeters, of the toy soldier?

A. 125 B. 156 C. 192 D. 208 E.317

The volume of the toy is 125 cubic cm ,option A is the closest answer.

Step-by-step explanation:

Given:

A rectangular container .

Length of the container =8 cm

Width of the container = 6 cm  

Height of the container when water is filled = (h_1) = 4 cm

Height of the container when the toy is submerged = (h_2) =6.6 cm

Volume of the toy =  Volume of the container with the toy - Volume of the container (with water)

Volume of the toy = (l\times b\times h_2) - (l\times b\times h_1)

                              = (l\times b\times)(h_2-h1)

                              = (6\times 8)(6.6-4)

                              = 48\times 2.6

                              = 124.8 cubic centimeters.

So,the closest value to the volume of the toy is 125 cubic centimeters.

6 0
3 years ago
What is the correct definition for cot theta?
NemiM [27]

The correct definition for cot theta is (cos theta)/(sin theta). <span>Cotangent </span><span>(in a right-angled triangle) the ratio of the side (other than the hypotenuse) adjacent to a particular acute angle to the side opposite the angle. </span>I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

5 0
3 years ago
Read 2 more answers
Write a linear equation from the ordered pair (-2,8)
OlgaM077 [116]
The equation of a line that goes through the point (x1,y1) and has a slope of m is
y-y1=m(x-x1)

so, given the point (-2,8)
x1=-2
y1=8

y-8=m(x-(-2))
y-8=m(x+2)
the equation is y-8=m(x+2) where m is the slope
or you could rewrite it to get y=mx+2m+8

4 0
3 years ago
An open box is made from a square piece of cardboard 30 inches on a side by cutting identical squares and turning up the sides.
pychu [463]

Step-by-step explanation:

A)

The length of the box is 30 − 2x inches.

The width of the box is 30 − 2x inches.

The height of the box is x inches.

So the volume is:

V = x (30 − 2x)²

B)

V(3) = 3 (30 − 6)² = 1728

V(4) = 4 (30 − 8)² = 1936

V(5) = 5 (30 − 10)² = 2000

V(6) = 6 (30 − 12)² = 1944

V(7) = 7 (30 − 14)² = 1792

As x increases, the volume of the box increases to a maximum and then decreases.

C)

The ends of the domain occur when V = 0.

0 = x (30 − 2x)²

x = 0 or 15

So the domain is (0, 15).

3 0
3 years ago
Creating and solving formulas for geometric series:mastery test
Levart [38]

Answer:

D. y = 5\cdot \Sigma_{i=0}^{4} \left(\frac{1}{3} \right)^{i}

Step-by-step explanation:

Let be y = \Sigma_{i = 0}^{4} \left[5\cdot \left(\frac{1}{3} \right)^{i}\right]. To find the equivalent expression we must use the following property:

y = c\cdot \Sigma_{i = 0}^{n} p(x) = \Sigma_{i=0}^{n} [c\cdot p(x)] (1)

Based on this fact, we find the following equivalence:

y = 5\cdot \Sigma_{i=0}^{4} \left(\frac{1}{3} \right)^{i}

Hence, the correct answer is D.

6 0
3 years ago
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