12 + 3y = 21
Expression or Equation:

Answer: Red copper = $0.12 per meter

Yellow copper = $0.22 per meter

Step-by-step explanation:

Since Red copper costs $0.90 for 7.6m, the cost of 1m of red copper will be:

= $0.90/7.6

= $0.12

Since yellow copper costs $1.12 5.2m, the cost of 1m of yellow copper will be:

= $1.12 / 5.2

= $0.22 per meter

Answer:

sharpened to unsharpened = 3 : 8

for every 3 sharpened pencil, there are 8 unsharpened pencils

Step-by-step explanation:

12s : 32u

12/32

divide both by 4

3/8

ratio = 3:8

Using trigonometric identities, it is found that the value of the tangent of the angle is given by:

B. [tex]-\frac{\sqrt{15}}{7}[/tex]

The tangent of an angle is given by it's sine divided by it's cosine, that is:

[tex]\tan{\theta} = \frac{\sin{\theta}}{\cos{\theta}}[/tex]

In this problem, we have that:

[tex]\cos{\theta} = -\frac{7}{8}[/tex]

The following identity is applied:

[tex]\sin^2{\theta} + \cos^2{\theta} = 1[/tex]

Then:

[tex]\sin^2{\theta} + \left(-\frac{7}{8}\right)^2 = 1[/tex]

[tex]\sin^2{\theta} + \frac{49}{64} = 1[/tex]

[tex]\sin^2{\theta} = \frac{15}{64}[/tex]

[tex]\sin{\theta} = \pm \frac{\sqrt{15}}{8}[/tex]

Since it is on the second quadrant, it is positive, hence:

[tex]\sin{\theta} = \frac{\sqrt{15}}{8}[/tex]

Applying the tangent equation:

[tex]\tan{\theta} = \frac{\sin{\theta}}{\cos{\theta}}[/tex]

[tex]\tan{\theta} = \frac{\frac{\sqrt{15}}{8}}{-\frac{7}{8}}[/tex]

[tex]\tan{\theta} = -\frac{\sqrt{15}}{7}[/tex]

More can be learned about trigonometric identities at https://brainly.com/question/22591162

Answer:

625

Step-by-step explanation:

Answer:

n < 2

Step-by-step explanation:

Let

The unknown number = n

8 < 4n

n < 8 / 4

n < 2

therefore, n must be less than 2

If n = 2

Then, 8 Will be equal to 4 times the number

Answer:

a) n = 4(n-1)+1    

b) 397

c) 19900

Step-by-step explanation:

Answer:

10/3

Step-by-step explanation:

(-2, 6) & (-5, -4)

To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(-4 - 6) / (-5 - (-2))

Simplify the parentheses.

= (-4 - 6) / (-5 + 2)

= - 10 / -3

Simplify the fraction.

-10/-3

= 10/3

This is your slope.

Hope this helps!

Answer:

- 1/2

Step-by-step explanation:

Answer:

a) 17/9

b) 25/39

Step-by-step explanation:

a)  3 2/5 to 1 4/5

17/5 to 9/5

The ration of fractions is 17/5 / 9/5  = 17/9

b) 2 4 /3  to 1 / 5 5

10/3 to 26/5

25/39

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Answer:

a=5

b=-4

c=8

Step-by-step explanation:

Answer:

(2,1)

x = 2

y = 1

Explanation:

Check the image

Answer:

(2,1)

Step-by-step explanation:

Since we already have an equation for y, all we need to do is plug that into y in the other equation.

y + 5 = 3x

(2x - 3) + 5 = 3x

2x - 3 + 5 = 3x

2x + 2 = 3x

2 = x

Now that we know y, we just need to plug the value of x into the equation.

y = 2(2) - 3

= 4 - 3

= 1

Answer:

The equation of the line is;

y = 4x

Step-by-step explanation:

The general equation form of a straight line is;

y = mx + b

m

is the slope and b is the y-intercept

The graph passes through the origin and that means the y -intercept is 0

To get the value of the slope, we select any point on the graph and substitute its coordinates

Let’s select point (1,4)

Substitute this;

4 = m(1) + 0

m = 4

Thus, the equation of the line is;

y = 4x

Answer:

13 possible combinations

Step-by-step explanation:

There are 3 different types of pizza sizes and two different types of pans. There are 5 different toppings available which can be used in the pizza.

5C3 + 3C2 = 10 + 3

Total possible combinations = 13.

Answer: -48

Step-by-step explanation:

Answer:

x=-14

Step-by-step explanation:

Expand 8(3x+6)

a=8 b=3x c=6

=8*3x+8*6

Simplify; 8*3x+8*6

=24x+48

Expand 9(2x-4)

a=9, b=2x, c=4

=9*2x-9*4

Simplify;9*2x-9*4

=18x-36

24x+48=18x-36

Subtract 48 from both sides;

24x+48-48=18x-36-48

Simplify;

24x=18x-84

Subtract 18x from both sides;

24x-18x=18x-84-18x

Simplify;

6x=-84

Divide both sides by 6;

6x/6=-84/6

Simplify; 6x/6

=x

Simplify ; -84/6

x=-14

Helped by none other than the ONE & ONLY #QUEEN herself #DRIPPQUEENMO !

Answer:

8 cookies left over

Step-by-step explanation:

use long division.

divide 143 by 15.the remainder is 8

Answer:0

Step-by-step explanation:

-1

Answer:

2.75

Step-by-step explanation:

The median is just the middle number in the number set. So, you put the numbers in order (which they already are), and find the middle number. If there are two numbers in the middle (which only happens if there is an even amount of numbers), then you add both of them and divide by 2 (which we must do in this problem).

0.8, 1.0, 2.7, 2.8, 3.1, 13.3

(2.7 + 2.8)/2

(5.5)/2 = 2.75

So, the median is 2.75.

Hopefully this helped, good luck!

Step-by-step explanation:

Arranging the numbers in an ascending order:

0.8 1.0 2.7 2.8 3.1 13.3

Median = (3rd value + 4th value) / 2

[tex] = \frac{2.7 + 2.8}{2} \\ = \frac{5.5}{2} \\ = 2.75[/tex]

Answer:

123cm

Step-by-step explanation:

becuse

Answer:

7 buses. 52÷ 8 = 6.5 so rounding up to 7

Answer:

56.3408 ft

Step-by-step explanation:

Answer:

-8 and 6

Step-by-step explanation:

he spent 8 on the book, therefore he had deduced 8 dollars, and earned 6, therefore he had increased 6 dollars

Answer:

I am guessing it is -8 and 6

Step-by-step explanation:

If Dominic spent $8 on a book, but only made $6, I believe it wil be -8, because he spent 8, and 6 because it's what he earned.

Hope this helps! :)

Answer: A, 120 units cubed

Step-by-step explanation:

Formula = (H*W*L)/2

4 * 3 * 20 = 4 * 60 = 240

240 / 2 = 120

The area of the triangle DAN is 60 square units if the vertices of ΔDAN have coordinates D(-6,-1), A(6,3), and N(-3,10) option first is correct.

The triangle can be defined as a three-sided polygon in geometry and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

We have triangle DAN which is graphed on the set of axes.

The vertices of ΔADN have coordinates:

D(-6, -1), A(6, 3), and N(-3, 10)

We can find the area of the triangle using the coordinates of the triangle such as:

[tex]\rm Area \ of \ the \ triangle = \frac{1}{2} [x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)][/tex]

Let's denote the coordinates N(-3, 10), D(-6, -1), andA(6, 3), and with

[tex]\rm (x_1, y_1), (x_2, y_2), \ and \ (x_3,y_3)[/tex] respectively.

Put these points in the above expression, we get:

[tex]\rm Area \ of \ the \ triangle = \frac{1}{2} [-3(-1-3)-6(3-10)+6(10-(-1))][/tex]

[tex]\rm Area \ of \ the \ triangle = \frac{1}{2} [-3(-4)-6(-7)+6(11)][/tex]

[tex]\rm Area \ of \ the \ triangle = \frac{1}{2} [12+42+66][/tex]

[tex]\rm Area \ of \ the \ triangle = \frac{1}{2} [120][/tex]

Area of the triangle = 60square units

Thus, the area of the triangle DAN is 60 square units if the vertices of ΔDAN have coordinates D(-6,-1), A(6,3), and N(-3,10) option first is correct.

Learn more about the triangle here:

brainly.com/question/25813512

Answer: 35/132

Step-by-step explanation:

probability of drawing green marble: 7/12

since the green marble drawn won't be returned to the box, the new total amount of marbles in the box is 11.

probability of red marble: 5/11

then multiply the 7/12 and 5/11 together:

35/132 which is abut 26.5%

Answer:

(1, -3)

Step-by-step explanation:

If the point P(6, –1) is translated according to the rule (x, y) → (x – 5, y – 2).

To get the coordinate of P', we will replace x as 6 and y as -1 in the translation given as shown

Coordinate of P' = (6 -5, -1, -2)

Coordinate of P' = (1, -3)

hence the coordinate of P' is (1, -3)

Answer:

p'(1 -3)

Step-by-step explanation:

Answer:

y = -1/2x - 2

Step-by-step explanation:

2x + 4y = -8

4y = -2x - 8

y = -1/2x - 2

Answer:

I think C

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