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3 years ago

15

Eight more than twice a number is equal to ten less than five times the number. Let n represent the number. Write an equation th

at can be used to find n.

2 answers:

solniwko [45]3 years ago

7 0

The answer is 8+2n=5n-10

Crank3 years ago

6 0

Answer:

8+2n=5n-10

Step-by-step explanation:

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Julia is a measuring a table for her room. The area of the tables 46 7/8 square feet. The length of the table is 7 1/2 feet. Jul

Irina18 [472]

In this question, you have given the table length (7. 1/2 feet) and the table maximal area (46 7/8 square feet). The question is about whether Julia buys a table greater than 6ft wide, in other words, we need to determine the table maximum width. The equation from this problem can be written as:
Table max area = 46 7/8 ft
Table length= 7 1/2 ft

Using area formula, the calculation for maximal width would be:
length * max width = max area
7 1/2 ft * max width = 46 7/8 ft
max width = 46.875/ 7.5 = 6.25ft

The answer to this question would be yes, she can buy a table with more than 6 ft width. But it should not more than 6.25ft width

5 0

3 years ago

A telephone pole has a wire attached to its top that is anchored to the ground. the distance from the bottom of the pole to the

kirza4 [7]

The height of the pole is 96 feet

In mathematics, the Pythagorean theorem, or Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides. This theorem can be written as an equation relating the lengths of the legs a, b and the hypotenuse c, often called the Pythagorean equation:[1]

$a^{2}+b^{2}=c^{2},$

Create a diagram of the scenario first. You would have a right triangle with a hypotenuse (longest side) of h + 4, a longest leg of h - 68, and one leg of length h to represent the pole.

Set up the equation $h^2 + (h - 68)^2 = (h + 4)^2$ using the Pythagorean theorem ( $a^2 + b^2 = c^2$ ).

$h^2 + (h - 68)^2 = (h + 4)^2$

On simplifying we get

$h^2+h^2-136h+4624 = h^2+8h+16$

$2h^2-136h+4624=h^2+8h+16$

$h^2-144h+4608=0$

Solving using quadratic formula

$h_{1,\:2}=\frac{-\left(-144\right)\pm \sqrt{\left(-144\right)^2-4\cdot \:1\cdot \:4608}}{2\cdot \:1}$

$h_1=\frac{-\left(-144\right)+48}{2\cdot \:1},\:h_2=\frac{-\left(-144\right)-48}{2\cdot \:1}$

h1 = 96 feet , h2 = 48 feet

If height would have been 48 feet then the other side would have a negative value as as 48 - 68 = -20 .

Hence the height of the pole is 96 feet

Learn more about Pythagoras theorem here :

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#SPJ4

7 0

2 years ago

-BARSIC- [3]

It’s A because the hundreds place is 5 the tens is 8 which is one less then 9 and the ones is 9 which is more then 8

5 0

3 years ago

Consider dealing a hand of 8 cards from a well shuffled standard deck of playing cards. The expected value of the number of face

zzz [600]

Answer:

2 face cards

Step-by-step explanation:

By definition, there are 12 face cards (Kings, queens, and jacks) and 36 numbered cards (2's through 10's) in a standard deck of 52 cards. Aces are not considered face cards (no face on the card).

The ratio of face cards in a full deck is (12/52) or slightly over 23%.

The likelihood of a face card in a hand of 8 cards is:

(8 cards)*(12 face cards/52 cards) = 1.85 cards. We need to round to the nearest whole card, so the expected number of face cards in a hand of 8 is 2 cards.

8 0

2 years ago

What is the value for y? Explain please

Reil [10]

I hope this helps you

5 0

3 years ago