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3 years ago

Solve this inequality : 5x+7x<36

Mathematics

1 answer:

Lera25 [3.4K]3 years ago

7 0

Answer:

x < 3

Step-by-step explanation:

5x+7x<36

12x<36

Divide both sides by 12

x<3

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Ella is a landscape photographer. One weekend at her art gallery she sells a total of 52 prints for a total of $2,975. How many

abruzzese [7]

Answer:

Ella sold the each print for the cost of $57.21.

Step-by-step explanation:

The total number of prints sold at gallery = 52

Total amount it is sold for = $2,975

Noe, If 52 prints are sold for $2,975.

⇒ $\textrm{Cost of 1 print} = \frac{\textrm{Total cost of 52 prints}}{\textrm{52}}$

$= \frac{2,975}{52} = 57.21$

or, Cost of 1 print = $57.21

So, Ella sold the each print for the cost of $57.21.

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3 years ago

Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the cir

FromTheMoon [43]

The statements which are correct about the equation of circle $x^{2} +y^{2}-2x-8=0$ are 1) The radius of the circle is 3 units,2) The center of the circle lies on the x axis,5) The radius of this circle is the same the radius of the circle whose equation is $x^{2} +y^{2} =9$ .

Given the equation of circle be $x^{2} +y^{2}-2x-8=0$ .

We are required to find the appropriate statements related to the equation $x^{2} +y^{2}-2x-8=0$ .

$x^{2} +y^{2}-2x-8=0$ can be written as under:

$x^{2} +y^{2} -2x+1-9=0$

$x^{2} +1^{2}-2x+y^{2} -9=0$

$(x-1)^{2}+y^{2}$ -9=0

$(x-1)^{2} +y^{2} =9$

$(x-1)^{2}+y^{2} =3^{2}$

Equation of a circle usually in the form $x^{2} +y^{2} =a^{2}$ in which a is radius.

From the comparison of both the equations we get that radius is 3 units.

From the equation point will be (1,0). It is on the x axis.

Hence the statements which are correct about the equation of circle $x^{2} +y^{2}-2x-8=0$ are 1) The radius of the circle is 3 units,2) The center of the circle lies on the x axis,5) The radius of this circle is the same the radius of the circle whose equation is $x^{2} +y^{2} =9$ .

Learn more about radius at brainly.com/question/24375372

#SPJ1

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1 year ago

Which of the lines is perpendicular to the line shown in the graph

Nitella [24]

Answer:

The line passing through (-8, 10) and (-1, 4).

Step-by-step explanation:

Two lines are perpendicular if the product of their slopes is -1. The slope of the line in the picture is $7\over 6$ , so we should find a line with slope of $-6\over 7$ .

Note that the slope of the line in the last option is $-7\over 6$ .

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3 years ago

Renting a room at the Willow tree resort costs $125 for 2 people. Each additional person is $25. Write an expression that shows

Mama L [17]

Answer:

Let C be the cost for the people staying

if n <= 2 ; C = $125

If n >2 ; C = $125 + $25 * (n-2)

Step-by-step explanation:

If the number of people is more than two, we need to add $25 for each of them.

Since n will be the number of people staying, we need to make sure that we substract two from this term to avoid overcharging the guests when there is less than two people.

(n-2) is the term that should be multiplied by a factor of 25.

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3 years ago

I will give Brainliest on who answers this statement first.

ivanzaharov [21]

Answer:

Step-by-step explanation:

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3 years ago