Gracie uses 10 beads on each necklace she makes. She has 60 beads to use. How many necklaces can Gracie make?

Answer:

[tex]y > -x+4[/tex]

Step-by-step explanation:

we know that

The solution of the inequality is the shaded area above the dotted line

The slope of the dotted line is negative

The y-intercept of the dotted line is (0,4)

The x-intercept of the dotted line is (4,0)

Find the slope of the dotted line

[tex]m=(0-4)/(4-0)\\ m=-1[/tex]

The equation of the dotted line in slope intercept form is equal to

[tex]y=mx+b[/tex]

we have

[tex]m=-1[/tex]

[tex]b=4[/tex] -----> y-intercept

substitute

[tex]y=-x+4[/tex]

Find the equation of the inequality

Remember that the solution is the shaded area above the dotted line therefore

The inequality is

[tex]y > -x+4[/tex]

Answer:

(7,a) Where a ∈ R - {7}

OR

(-2,a) where a ∈ R - {-2}

Step-by-step explanation:

The coordinates of the given line from the right to the left are:

(7,1) and (-2,1)

So, to make a right triangle, we need to make a right angle or by another words, we need to a make a perpendicular line to the given line (i.e: a vertical line parallel to the y-axis at one of the given points)

So, the third vertex must be on the line x=7 or x=-2

So, the coordinates of the third vertex is:

(7,a) Where a ∈ R - {7}

OR

(-2,a) where a ∈ R - {-2}

Answer:

(5, −4)

Step-by-step explanation:

A right triangle is a triangle in which one angle is a right angle (a 90-degree angle). (thank usatestprep)

Answer:0.5

Step-by-step explanation:

Answer:

366.16

Step-by-step explanation:

use the formula v=4/3r3

6.5 to the third power

multiply by 4/3

you get 366.16π ft³

Answer: x = 17.5

Step-by-step explanation:

You're using interior angles

Use the law of cosine: c^2 = a^2 +b^2 - 2ab times cos (C)

h^2 = 8^2 + 10^2 - 2(8)(10) times cos (80) so h = 11.67

11.67 over sin (80) = 8 over sin (S) = 10 over sin (T)

sin -1 ((8 times sin (80)) over 11.67)  is equal to S

sin -1 ((10 times sin (80)0 over 11.67)) is equal to T

t over sin (T) = s over sin (S)

t = 10 + x

s = 8 + 18 = 22

10 + x over sin (57.54) = 22 over sin (42.45) 

x = 22 times sin (57.54) over sin (42.45) and next to this is -10

the answer of x = 17.50

Hope this helps, have a BLESSED and wonderful day! :-)

-Cutiepatutie <3

Answer:

Prices and output would rise, and the equilibrium point will change.

<3

To solve this problem, we need to remember that slope-intercept form is y = mx +b, where the variable m represents the slope of the line and the variable b represents the y-intercept of the equation. To put the above equation into slope-intercept form, we need to get the variable y to the left side of the equation and the variable x and any constants to the right side of the equation.

9x + 35 = -5y

First, we will begin by adding 5y to both sides of the equation so that the y term is on the left side of the equation.

5y + 9x + 35 = 0

Next, we should subtract 9x from both sides so that the x term is on the left side of the equation.

5y + 35 = -9x

After that, we should subtract 35 from both sides of the equation so that this constant moves to the right side of the equation.

5y = -9x - 35

Now we must divide both sides of the equation by 5 so that the variable y is completely alone on the left side of the equation.

y = -9/5x - 7

Therefore, your answer y = -9/5x -7.

Hope this helps!

The measure of angle x in the isosceles triangle is 68 degrees.

The correct option is 68°.

The figure in the image is an isosceles triangle.

An isosceles triangle is simply a triangle that has any two sides equal in length and and also two angles equal in measure.

From the diagram;

Since the triangle is an isosceles triangle:

Angle 1 = 56 degrees

Angle 2 = 56 dgerees

Angle 3 = x

Note that the sum of the interior angle of a triangle adds up to 180 degree.

Hence;

Angle  1 + Angle 2 + Angle 3 = 180

56 + 56 + x = 180

Solve for x

112 + x = 180

x = 180 - 112

x = 68 degrees

Therefore, x has a value of 68 degree.

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Final answer:

The customer paid a meal's tax of $5.60 on an $80 dinner, calculated by converting the 7% tax rate to a decimal (0.07) and multiplying it by the cost of the meal.

Explanation:

The question pertains to calculating the meal's tax that the customer paid when the price for dinner at a restaurant was $80 and the meal's tax rate was 7%. To calculate the meal's tax, we need to convert the percentage to a decimal and then multiply it by the total cost of the meal.

To do this:

Convert the percent to a decimal: 7% becomes 0.07.

Multiply this decimal by the cost of the meal: 0.07 × $80 = $5.60.

Therefore, the customer paid $5.60 in meal's tax.

Answer:

The salary a salesperson expects to earn in 3 years, according to the graph is $40,000

Step-by-step explanation:

The estimated salary for a salesperson with 3 years of employment is $45,000.

Without the scatter plot, it's impossible to give an exact answer, but we can make an estimate based on the trend line. Assuming the trend line is a straight line, we can use the equation of the line to estimate the salary for a salesperson with 3 years of employment.

The equation of a straight line can be written in a slope-intercept form as y = mx + b, where y is the dependent variable (salary in this case), x is the independent variable (years of employment in this case), m is the slope of the line, and b is the y-intercept (the value of y when x = 0).

To find the equation of the trend line, Tony would have used statistical software or a calculator to calculate the slope and y-intercept of the line of best fit. He could also have done this by hand using the least squares regression method.

Once we have the equation of the trend line, we can substitute x = 3 to estimate the salary for a salesperson with 3 years of employment.

For example, if the equation of the trend line is y = 5000x + 30000 (where y is the salary in dollars and x is the years of employment), then we can estimate that a salesperson with 3 years of employment can expect to earn:

y = 5000(3) + 30000

y = 15000 + 30000

y = 45000

So the estimated salary for a salesperson with 3 years of employment is $45,000.

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