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skelet666 [1.2K]
3 years ago
10

The product of x and 6 is less than or equal to 24.

Mathematics
2 answers:
iren2701 [21]3 years ago
5 0

Answer:

x= 4 or <

Step-by-step explanation:

Nastasia [14]3 years ago
5 0

Answer:

4

Step-by-step explanation:

You might be interested in
Given that BE=6, CE=6,<br>and FE measures 5 more<br>than DE, find the length<br>of DE.​
katen-ka-za [31]

Answer:

DE = 4 units.

Step-by-step explanation:

By the chord intersection theorem:

BE * CE = DE * FE

But FE = DE + 5 so:

BE * CE = DE * (DE + 5)

6 * 6 = DE^2 + 5DE

DE^2 + 5DE  - 36 = 0

(DE + 9)(DE - 4) = 0

So DE = -9 or 4

It can't be negative so DE = 4.

4 0
4 years ago
A bookmark has a perimeter of 46 centimeters and an area of 102 square centimeters. What are the dimensions of the bookmark?
Alinara [238K]

Answer:

  6 cm by 17 cm

Step-by-step explanation:

The area is the product of the dimensions; the perimeter is double the sum of the dimensions.

So, we want to find two numbers whose product is 102 and whose sum is 23.

  102 = 1·102 = 2·51 = 3·34 = 6·17

The last of these factor pairs has a sum of 23.

The dimensions are 6 cm by 17 cm.

3 0
3 years ago
Write an equation for the circle with center(-1,-5) and Radius 4sqrt3
irina [24]

Answer:

(x + 1)² + (y + 5)² = 48

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

here (h, k) = (- 1, - 5) and r = 4\sqrt{3}, so

(x - (- 1))² + (y - (- 5))² = (4\sqrt{3} )², that is

(x + 1)² + (y + 5)² = 48 ← equation of circle

7 0
3 years ago
Chris has 4.05 pounds of cat food. He uses 0.27 pound of cat food to feed one cat. How many cats can Chris feed with the cat foo
Tanya [424]
0.27x=4.05
divide both sides by 0.27
x=15 cats
7 0
3 years ago
Read 2 more answers
A social media website had 350,000 followers in 2010. The number y of followers
Zolol [24]

Answer:

a) y(t) = 350(1.02)^t

b) 394 thousand = 394,000 people will be following the website in 2016

Step-by-step explanation:

Exponential equation for an amount:

The exponential equation for an amount after t years has the following format:

y = y(0)(1+r)^t

In which y(0) is the initial value and r is the growth rate, as a decimal.

A social media website had 350,000 followers in 2010. The number y of followers increases by 2% each year.

This means that: y(0) = 350, r = 0.02

a. Write an exponential growth function that represents the number of followers t years after 2010

In thousands:

y(t) = 350(1 + 0.02)^t

y(t) = 350(1.02)^t

b. How many people will be following the website in 2016?

2016 is 6 years after 2010, so this is y(6).

y(6) = 350(1.02)^6 = 394.2

Rounding to the nearest thousand:

394 thousand = 394,000 people will be following the website in 2016

5 0
3 years ago
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