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blondinia [14]
4 years ago
9

Theequationoflinedis y = -6 7 x + 5 . Line eisperpendicularto d . What istheslopeofline e ? Simplify your answer and write it as

a proper fraction, improper fraction, or integer.
Mathematics
1 answer:
Sergeu [11.5K]4 years ago
6 0

Answer:

  7/6

Step-by-step explanation:

Assuming the slope of line <em>d</em> is -6/7, the slope of perpendicular line <em>e</em> is ...

  -1/(-6/7) = 7/6

_____

Perpendicular lines have slopes that are the negative reciprocals of each other.

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A jeweler had a fixed amount of gold to make bracelets and necklaces. The amount of gold in each bracelet is 6 grams and the amo
nikitadnepr [17]

Answer:

The jeweler made 11 bracelets and 7 necklaces.

Step-by-step explanation:

Given that a jeweler had a fixed amount of gold to make bracelets and necklaces, and the amount of gold in each bracelet is 6 grams and the amount of gold in each necklace is 16 grams, knowing that the jeweler used 178 grams of gold and made 7 more necklaces than bracelets, to determine a system of equations that could be used to determine the number of bracelets made and the number of necklaces made, the following mathematical reasoning should be considered:

(16 - 6) x 7 = 70

178 - 70 = 108

108/6 = 18

18 - 7 = 11

(11 x 6) + (7 x 16) = X

66 + 112 = X

178 = X

Thus, the jeweler made 11 bracelets and 7 necklaces.

4 0
3 years ago
In one game, the ratio of three-point baskets to three-point tries for one team was 3:8. If the team scored 27 points from three
nasty-shy [4]

Since we’ve been given a ratio, 3:8, we can convert that into a fraction and form an equation from it:

\frac{3}{8} = \frac{27/3}{?}

The reason the numerator on the second fraction is 27/3 is because the team scored 27 points, not 27 baskets.

Simplify (Also replace the ? with an unknown variable):

\frac{3}{8} = \frac{9}{n}

Cross multiply:

3*n = 9*8

Simplify:

3n = 72

Divide both sides by 3:

n = 24

The team had 33 three point tries, 9 successes, and 24 fails.

-T.B.

7 0
3 years ago
Aleena expands 2xx+3-5(x-2) as 2x2+3-5x-10. Has she expanded it correctly? Please identify the mistakes and write the correct wa
Nimfa-mama [501]

The given expression is :

2xx+3-5(x-2)

We know that, x{\cdot}x=x^2

=2x^2+3-5(x-2)\\\\=2x^2+3+(-5)(x)+(-5)(-2)\\\\=2x^2+3-5x+10

Aleena expands 2xx+3-5(x-2) as 2x²+3-5x-10. She is mistaken because the sign before 10 should be +10 instead of -10. Hence, the correct expanded form is 2x²+3-5x+10. Hence, this is the required solution.

5 0
3 years ago
A study at a college in the west coast reveals that, historically, 45% of their students are minority students. if a random samp
Evgesh-ka [11]
100 percent because 45 % is always in between 30 and 50 %
5 0
3 years ago
Volume of cylinder in terms of pi
amid [387]

The formula to calculate the volume of a cylinder is: V = Π h r², that is, Pi per height per radius squared Steps to follow: one When calculating the volume of a cylinder, you will need to measure the height (h) of the cylinder, a value that sometimes also receives the name of length. Let's give a concrete example to be able to apply the formula and that way you understand better how to carry out the operations. In this way, we will assume that the height or length of the cylinder is 10 cm. two On the other hand, you must also have the measure of the radius (r) of the cylinder, that is, the distance from the outer edge to the center of the circle that serves as the base of this polyhedral figure. Make sure you use the same unit of measure for each dimension, if they are expressed in different units, you must do the conversion to obtain the equivalence. Following the example, let's give the radio a value of 3 cm 3 So, knowing that the formula to calculate the volume of a cylinder is: V = Π h r² We just need to know how much pi is worth, remember? Yes, we can round it to 3.14 and, therefore, we will only need to substitute each value in the formula. Next, you must calculate the square of the radius (r²), multiplying the value by itself and then multiply the result of the height by Pi, by the result of the radius squared. V = 3.14 x 10 x 3² = 3.14 x 10 x 9 = 282.6 cm³ Remember to write the answer in the appropriate cubic unit of measure. So you can understand where you get the formula to calculate the volume of a cylinder: If you disarm a cylinder in your hands you will have two equal circles and a rectangle, right? First you must use the formula to take out the area of ​​a circle that is: A = (Π) (r²) When you get the area of ​​the circle you multiply it by the height of the cylinder and the result is the volume of the cylinder. Always remember to be careful with the units of measurement you use in calculations.

6 0
3 years ago
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