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kap26 [50]
3 years ago
5

How do you know when to use the less than symbol and when to use the less than or equal to symbol when writing an inequality for

a situation? ​
Mathematics
1 answer:
xenn [34]3 years ago
5 0

Answer:

This depends on the situation. For context, you use less than when your inequality CANNOT exceed more than.

You would use less than or equal to if your inequality can be equal to a number. Here's an example.

John needs to buy X oranges and Y apples. He can AT MOST buy 10 total fruits.

x + y (equal to or less than) 45

John needs to buy X oranges and Y apples. He CANNOT buy more than 10 total fruits.

x + y < 45

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A family spends $520 every month on food if the family's income is 3 200 each month what percent of the inco.E is spent on food
aliya0001 [1]

Answer:

16.25% was spent on food

Step-by-step explanation:

Step one

given data

A family spends $520 every month on food

The family's income is $3200 Monthly

Required

We want to find the percentage of the income spent on food only

Step two

percentage spent on food= amount spent on food/income*100

percentage spent on food= 520/3200*100

percentage spent on food= 0.1625*100

percentage spent on food= 16.25%

=16.25%

5 0
3 years ago
A rectangle and a square have the same area. a. The width of the rectangle is w inches. The length of the rectangle is 15 inches
harkovskaia [24]

9514 1404 393

Answer:

  a) w(4w-15)

  b) w²

  c) w(4w -15) = w²

  d) w = 5

  e) 5 by 5

Step-by-step explanation:

a) If w is the width, and the length is 15 less than 4 times the width, then the length is 4w-15. The area is the product of length and width.

  A = w(4w -15)

__

b) If w is the side length, the area of the square is (also) the product of length and width:

  A = w²

__

c) Equating the expressions for area, we have ...

  w(4w -15) = w²

__

d) we can subtract the right side to get ...

  4w² -15w -w² = 0

  3w(w -5) = 0

This has solutions w=0 and w=5. Only the positive solution is sensible in this problem.

The side length of the square is 5 units.

__

e) The rectangle is 5 units wide, and 4(5)-15 = 5 units long.

The rectangle and square have the same width and the same area, so the rectangle must be a square.

4 0
3 years ago
For the rotation - 660°, find the coterminal angle from 0° &lt; 0 &lt; 360°, thequadrant and the reference angle.
guajiro [1.7K]

Given the angle:

-660°

Let's find the coterminal angle from 0≤θ≤360.

To find the coterminal angle, in the interval given, let's keep adding 360 degrees to the angle until we get the angle in the interval,

We have:

Coterminal angle = -660 + 360 = -300 + 360 = 60°

Therefore, the coterminal angle is 60°.

Since 60 degrees is between 0 to 90 degrees, is is quadrant I.

60 degrees lie in Quadrant I.

Also since it is in quadrant I, the reference angle is still 60 degrees.

ANSWER:

The coterminal angle is 60°, which lies in quadrant I, with a reference angle of 60°

3 0
1 year ago
Help me find the slope on the line? Thanks in advance.
Juliette [100K]
(1, 9) and (11,1)

slope
= (9 - 1)/(1 - 11)
= 8 /-10
= -4/5
= - 0.8

answer
slope = - 0.8
5 0
3 years ago
Read 2 more answers
For which value of b would x^2 + bx - 24 be prime?<br><br> a. 3<br> b. 5<br> c. 10<br> d. 23
Lapatulllka [165]

Answer:

3

Step-by-step explanation:

24 + (-1) = 23, 12 + (-2) = 10, 8 + (-3) = and 6 + (- 4) = 2, none of the sums are equal to 3, therefore b = 3 would give a prime quadratic. The correct answer is then A. 3

5 0
2 years ago
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