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2 years ago

Find the slope of the line that passes through (10, 3) and (1, 10).

Mathematics

2 answers:

Natasha2012 [34]2 years ago

7 0

The slope of the line is - 7/9

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

tatyana61 [14]2 years ago

5 0

Answer: -7/9

Step-by-step explanation:

10-3

1-10

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Philip made a total of 9 bracelets and necklaces from 120 inches of cord. He used 8 inches of cord for each bracelet and 20 inch

Viktor [21]

Answer:

So Philip made 5 bracelets and 4 necklaces.

Step-by-step explanation:

Let x = number of bracelets and y = number of necklaces.

Since we have a total of 9 bracelets and necklaces,

x + y = 9 (1)

Also, we have 8 inches of cord for each bracelet and 20 inches of cord for each necklace, then the total length for the bracelet is 8x and that for the necklace is 20y.

So, the total length for both is 8x + 20y. Since the total length of cord used is 120 inches,

8x + 20y = 120 (2)

Simplifying it we have

2x + 5y = 30 (3).

Writing equations (1) and (3) in matrix form, we have

$\left[\begin{array}{ccc}1&1\\2&5\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}9\\30\end{array}\right]$

Using Cramer's rule to solve for x and y,

$x = det \left[\begin{array}{ccc}9&1\\30&5\end{array}\right] /det \left[\begin{array}{ccc}1&1\\2&5\end{array}\right] \\$

x = (9 × 5 - 30 × 1) ÷ (1 × 5 - 1 × 2)

x = (45 - 30) ÷ (5 - 2)

x = 15 ÷ 3

x = 5

$y = det \left[\begin{array}{ccc}1&9\\2&30\end{array}\right] /det \left[\begin{array}{ccc}1&1\\2&5\end{array}\right] \\$

y = (30 × 1 - 9 × 2) ÷ (1 × 5 - 1 × 2)

y = (30 - 18) ÷ (5 - 2)

y = 12 ÷ 3

y = 4

So Philip made 5 bracelets and 4 necklaces.

3 0

2 years ago

Brianna has 4 pink bracelets. One third of all her bracelets are pink . How many bracelets does Brianna have ?

Korvikt [17]

Answer:

Total number of bracelets Brianna have are 12 .

Step-by-step explanation:

Let us assume that the total numbers of the bracelets be x .

As given

Brianna has 4 pink bracelets.

One third of all her bracelets are pink .

Than the equation becomes

$\frac{1\times x}{3} = 4$

Simplify the above

x = 4 × 3

x = 12

Therefore the total number of bracelets Brianna have are 12 .

4 0

2 years ago

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Which value of w makes 14 = 11+ 6a true statement? 8 Choose 1 answer: PLEASEEEE HELP

Lorico [155]

Answer:

I think D

Step-by-step explanation:

7 0

2 years ago

1/3x + 2 =4 I need it ASAP

mihalych1998 [28]

6! I hope this helps!

6 0

2 years ago

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Amy reached into a bag, recorded the color of the tile she picked, returned the tile and drew again. These are the tiles she has

Vedmedyk [2.9K]

Answer:

(a) P(next ball with blue) = $\frac{3}{10}$ (b) P(Not to be red) = $1-\frac{2}{5} =\frac{3}{5}$

(c) P(drawing 70 times yellow ball) = $\frac{1}{10} \times 70 = 7$ .

Step-by-step explanation:

Given that,

The total outcomes of the color of tile are :-

Red , Red, Blue, Yellow, Blue, Red, Green, Red, Blue, Green.

From the Question,

Total number of outcomes = 10

(a) What is the probability that her next draw will be blue ?

Red = 4,

Blue = 3,

Green = 2,

Yellow = 1.

P(next ball with blue) = $\frac{3}{10}$ .

(b) What is the probability that her next draw will NOT be red?

P(Red ball) = $\frac{4}{10} = \frac{2}{5}$

But we have to find

P(Not to be red) = $1-\frac{2}{5} =\frac{3}{5}$

(c) If Amy draws 70 more times with the same tiles from the question above, what probability would you expect a yellow?

P(Yellow ball) = $\frac{1}{10}$

drawing it 70 times we get the probability

P(drawing 70 times yellow ball) = $\frac{1}{10} \times 70 = 7$ .

5 0

2 years ago