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3 years ago

What is the solution to the following inequality? x/-3 ≤ 3 A) x ≥ 6 B) x ≤ -9 C) x ≥ 1 D)x ≥ -9

Mathematics

2 answers:

arsen [322]3 years ago

5 0

Answer:

option D

Step-by-step explanation:

x/-3≤3

multiply by (-1) on both sides

x/3≥-3

x>=-9

Lynna [10]3 years ago

5 0

Answer:

Letter D

Step-by-step explanation:

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Find the midpoint of the line segment whose endpoints are (3, 10) and (7, 8).

Stels [109]

Answer:

Option 2 is correct.

Step-by-step explanation:

Given the coordinates of lines segment (3, 10) and (7, 8). we have to find the mid-point of given line segment.

Mid-point formula states that if $(x_1,y_1)$ and $(x_2,y_2)$ are the coordinates of end points of line segment then the coordinates of mid-point are

$(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

∴ Coordinates of mid-point of line segment joining the points (3, 10) and (7, 8) are

$(\frac{3+7}{2},\frac{10+8}{2})=(\frac{10}{2},\frac{18}{2})=(5,9)$

Hence, option 2 is correct.

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3 years ago

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tigry1 [53]

The answer of t he trapezoid area problem is 112.

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3 years ago

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Cecilia created 2.5 liters of a chemical mixture for an experiment. Saline solution accounted for 12.5% of the mixture. How many

tatyana61 [14]

$2.5liters * \frac{12.5 liters saline solution}{100liters} = 0.3125 liters$

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3 years ago

The thickness of a U.S. penny is 5.98 X 10-2 inch.

Aleksandr [31]

Answer: $1.495*10^8\ inches$

Step-by-step explanation:

For this exercise you have to remember the Product of powers property, which states that:

$(a^m)(a^n)=a^{(m+n)}$

Let be "x" the height in inches of a stack of $2.5*10^9$ pennies.

You know that the thickness of 1 pennie is $5.98*10^{-2}\ inches$ , then, you can write the following proportion:

$\frac{5.98*10^{-2}}{1}=\frac{x}{2.5*10^9}$

Solve for "x":

$(2.5*10^9)(\frac{5.98*10^{-2}}{1})=x\\\\x=14.95*10^7$

To express this height in Scientific notation the decimal point must be after the first digit, so you must move it one place to the left:

$x=1.495*10^8$

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3 years ago

Solve the Linear system using substitution<br><br> X=6-4y<br> 3x-2y=1

katovenus [111]

3(6-4y)-2y=1
18-12y-2y=1
18-14y=1
-14y=-17
Y=17/14
Now with a calculator plug in 17/4 multiply it by 4 and subtract the solution from 6 and h get x

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3 years ago