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3 years ago

Solve the following inequalities!!!

Mathematics

1 answer:

Kamila [148]3 years ago

4 0

Answer:

30x + 5 < 120

30x < 20 - 5

30x < 15

x < 0.5

4x - 9 > 90

4x > 90+9

4x > 99

x = 24.75

28x + 4 < 140

28x < 140-4

28x < 136

x = 4/6/7

HOPE IT HELPS!!

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PLEASE HELP ASAP!!!!!!

Natali5045456 [20]

Answer:

13.60 See the note below.

Step-by-step explanation:

Remark

This is just the reverse of the question you just did. This time you are trying to solve for c

Givens

a = 8
b = 11
c = ??

Solution

c^2 = a^2 + b^2 Substitute the givens.

c^2 = 8^2 + 11^2 Expand

c^2 = 64 + 121 Combine the right side by adding

c^2 = 185 Take the square root of both sides.

sqrt(c^2) = sqrt(185) Complete the operation

c = 13.601 Round to the nearest 1/100 th

c = 13.60 Note: the zero must be there or the answer does not show the nearest 1/100 th

8 0

3 years ago

Nora's leaf collection consisted of 150 leaves by August. By december , her collection had grown to 177 leaves. How much did her

Elza [17]

Answer=18%

177/150=1.18

1.18=118%

118%-100%=18%

___________________________
another way to solve the equation...

150 177
_____=_____
100% x

Cross Multiply
150x=17700
divide both sides by 150
x=118%

118%-100%=18%

4 0

3 years ago

Evaluate 2 tan 45 - tan 60

Darya [45]

Answer:

2 - √3

Step-by-step explanation:

tan45 = 1

tan60 = √3

2 tan 45 - tan 60

2(1) - √3

=> 2 - √3

6 0

3 years ago

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PLEASE HELP ME ASAP! THERE'S A PICTURE OF THE QUESTION!!!!! 15 POINTS FOR THE CORRECT ANSWER!!! I really need this answer so ans

sweet-ann [11.9K]

67°C

89°C

Dont quote me on this but I am almost 100 percent sure about it

6 0

3 years ago

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Based on the graph, what is the dependent variable, the equation relating the two variables, and how far will the dragonfly trav

ivann1987 [24]

Answer:

<h2>The dependent variable is distance, the equation is y = 20x, and the dragonfly will travel 480 miles.</h2>

Step-by-step explanation:

According to the graph, the dependent variable is Distance in miles, because it's on the vertical axis. Additionally, the independent variable is time in hours, because it's on the horizontal axis. However, you always put time as independent, because nothing affects time.

To find the equation, we just need to find the slope, using two points (0,0) and (2,40).

$m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }=\frac{40-0}{2-0}=20$

Therefore, the equation is $y=20x$ , which shows a direct proportion between variables.

Now, in 24 hours, it would travel

$y=20(24)=480$

It would travel 480 miles.

Therefore, the right answer is the second choice.

8 0

3 years ago

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