MATHEMATICS HIGH SCHOOL

-14-7(9v+3)=13v+41 ​

Answers

Answer 1
Answer:

Answer:

v=−1

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−14−7(9v+3)=13v+41

−14+(−7)(9v)+(−7)(3)=13v+41(Distribute)

−14+−63v+−21=13v+41

(−63v)+(−14+−21)=13v+41(Combine Like Terms)

−63v+−35=13v+41

−63v−35=13v+41

Step 2: Subtract 13v from both sides.

−63v−35−13v=13v+41−13v

−76v−35=41

Step 3: Add 35 to both sides.

−76v−35+35=41+35

−76v=76

Step 4: Divide both sides by -76.

−76v

−76

=

76

−76

v=−1
Answer 2
Answer:

Answer:

v = 12.67

95% sure... I could be wrong, though.

Step-by-step explanation:

14-7(9v+3)=13v+41 ​

-14-63v-21=13v+41

-14-21=76v

6=76v

12.67=v

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The corresponding edges of two regular tetrahedrons are 1 cm and 3 cm. If the sum of the weights of the two tetrahedrons is 100 grams and both solids are made up of the same material, find the weight of the bigger solid.

Answers

m 1 = V 1 * d
m 2 = V 2 * d
Both tetrahedrons have the same density.
V = 1/3 * a²√3/4 * h
V 1 = 1/3 * 1² * √3 / 4 * √2 / √3 = √2 / 12 cm³ 
V 2 = 1/3 * 3²√3 /4 * √6 = 9√2 / 4 cm³
m 1 : m 2 = √2 /12 : 9√2/4
m 1 * 9√2 / 4 = m 2 * √2 / 12
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m 2 / 27 + m 2 = 100 g   / * 27
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28 m 2 = 2700
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Answer:
The weight of the bigger tetrahedron is 96.42 g. 

Another wooden plank is leaning against an outside wall of a building. The bottom of the plank is 9 ft from the wall. The length of the plank is 41 ft. Find each of the following values, and show all your work. (a) Find the value of x. Round to the nearest tenth of a degree. (b) Find the height above the ground where the plank touches the wall. Round to the nearest foot.        sorry the link for the triangle isn't working

Answers

Given:
bottom of the plank or ground is 9 feet from the wall
length of the plant is 41 ft
height of the wall is unknown.

Let us use the Pythagorean theorem.

a² + b² = c²
a² + (9ft)² = (41ft)²
a² + 81 ft² = 1,681 ft²
a² = 1,681 ft² - 81 ft²
a² = 1,600 ft²
√a² = √1,600 ft²
a = 40 ft

The height of the wall is 40 ft.

What is the likelihood of choosing a day that falls on the weekend when randomly picking a day of the week?

Answers

Answer:

2/7

Step-by-step explanation:

7 days in a week

Out of which, 2 are weekend

P(weekend) = 2/7

The distance from London to Manchester is 199.9 what is this to the nearest 10 miles?

Answers

200 miles (199.9 is only 0.1 away from 200 but 9.9 away from 190)
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What is greater 96 oz or 8pt

Answers

8pt is greater than 96oz
8 pints are greater because there are 16 ounces in a pint. So 8 pints times 16 ounces makes 128 ounces.

the set of ordered pairs (–1, 8), (0, 3), (1, –2), and (2, –7) represent a function. what is the range of the function?

Answers

The range of the function is
{-7,2,3,8}.

Answer:

{y: y = –7, –2, 3, 8}

this would be the answer.

Step-by-step explanation:
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