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2 years ago

Translate the sentence into an inequality. The sum of 6 and y is greater than or equal to -23.

Mathematics

1 answer:

Free_Kalibri [48]2 years ago

4 0

Answer:

6+y $\geq$ -23

Step-by-step explanation:

Just write it out.

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Approximately how many times as great is the volume of a grapefruit with a diameter 16 cm as the volume of a lime with a diamete

SIZIF [17.4K]

Answer: The volume of the grapefruit is approximately 8 times as great as the volume of the lime.

Step-by-step explanation:

You need to use the formula for calculate the volume of a sphere. This is:

$V=\frac{4}{3}\pi r^3$

Where "r" is the radius.

Volume of the grapefruit

You know that its diameter is 16 centimeters.

Since the radius is half the diameter, you get that its volume is:

$V_g=\frac{4}{3}\pi (\frac{16\ cm}{2}) ^3\\\\V_g= 2,144.66\ cm^3$

Volume of the lime

According to the information given in the exercise, the diameter of the lime is 8 centimeters.

As it was explained above, the radius is half the diameter. Knowing that, you get that volume of the lime is the shown below:

$V_l=\frac{4}{3}\pi (\frac{8\ cm}{2}) ^3\\\\V_l= 268.08\ cm^3$

In order to find approximately how many times as great is the volume of theat grapefruit as the volume of that lime, you need to divide the volumes calculated above. Then:

$\frac{2,144.66\ cm^3}{268.08\ cm^3}\approx8\ times$

8 0

2 years ago

I NEED HELP!! ASAP!! 3x + -7 = 42

Dmitrij [34]

Answer:

16 1/3

Step-by-step explanation:

add 7 to 42 to get 49, then divide by 3 to get 16 1/3. :)

7 0

2 years ago

Solve each inequality. Then compare the solutions. 3x +4> 16 - 2x + 19< 11

Makovka662 [10]

Answer:

$3x + 4 > 16 \\ 3x > 16 - 4 \\ \frac{3x}{3} > \frac{12}{3} \\ x > 4 \\ \\ - 2x + 19 < 11 \\ - 2x < 11 - 19 \\ - 2x < - 8 \\ \frac{ - 2x}{ - 2} > \frac{ - 8}{ - 2} \\ x > 4 \\ \\ comparing \\ 4 < x > 4$

7 0

2 years ago

In graph, the area below f(x) is shaded and labeled A, the area below g(x) is shaded ad labeled B, and the area where f(x) and g

NNADVOKAT [17]

Answer:

The graph represents the system of inequalities y ≤ -3x + 2 and y ≤ -x + 2 ⇒ C

Step-by-step explanation:

From the given figure

∵ The direction of each line is to left

∴ The slopes of the lines are negative

∵ The slope of the line is the coefficient of x

∴ The coefficient of x in each inequality is negative ⇒ (1)

∵ The two lines intersect the y-axis at the point (0, 2)

∴ The y-intercept of the two lines is (0, 2)

∵ The y-intercept is the numerical term in the equation

∴ The numerical term in each inequality is 2 ⇒ (2)

∵ The two lines are solids

∵ The shaded area of each one is under the line

∴ The sign of inequality in both equations is ≤ ⇒ (3)

→ Look at the answer and find which one has the 3 conditions above

∵ y ≤ -3x + 2 and y ≤ -x + 2

∴ m = -3 and m = -1 ⇒ negative coefficients of x

∴ b = 2 ⇒ numerical term

∵ The sign of inequality is ≤

∴ The graph represents the system of inequalities y ≤ -3x + 2 and y ≤ -x + 2

5 0

2 years ago

An amount of #550,000.00 was realised when a principal,x was saved 2% simple interest for 5 years. Find the value of x

Zarrin [17]

Answer:

x = 250,000

Step-by-step explanation:

A = P(1 + rt)

550,000 = x (1 +2% x 60)

550,000/(1 +2% x 60) = 250,000

x = 250,000

Check your answer

A = 250,000 (1+2%x60)

A = 550,000

pls mark brainliest

5 0

3 years ago

Translate the sentence into an inequality. The sum of 6 and y is greater than or equal to -23. ​

Translate the sentence into an inequality. The sum of 6 and y is greater than or equal to -23.