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Karo-lina-s [1.5K]
3 years ago
6

Solve the equation 1.5y < -6.75

Mathematics
1 answer:
finlep [7]3 years ago
7 0
1.5y < -6.75

First, divide both sides by '1.5'.
\frac{-6.5}{1.5}
Second, since 4.5 × 1.5 = 6.5, simplify the fraction to '-4.5'
y \ \textless \  -4.5

Answer: y < -4.5

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Order these fractions from greatest to least. 1/3, 2/5, 1/4, 1/6
Tpy6a [65]
For the first one, it's already in order

For the second,
-4
-3
-1.0
2
5 0
4 years ago
John has 4/5​ of a pound of dog food left to share equally among 6 dogs in his pet shop. ​How many pounds of food can he give to
arlik [135]

Answer:

2/15 pound of dog food

Step-by-step explanation:

John has 4/5​ of a pound of dog food left to share equally among 6 dogs in his pet shop. ​How many pounds of food can he give to each dog?

From the above question, we can deduce that:

6 dogs = 4/5 pound of dog food

1 dog = x pound of dog food

Cross Multiply

6 dogs × x pound = 1 dog × 4/5 pound of dog food

x pound = 1 dog × 4/5 pound of dog food/6 dogs

x pounds = 4/5 ÷ 6

x pounds= 4/5 × 1/6

x pounds = 4/30

x pounds = 2/15 pound of dog food

Therefore,if the dog food is shared equally, he can give each dog 2/15 pound of dog food.

3 0
3 years ago
Find the value of x that makes:
Svetllana [295]

Answer:

correct value of x = 5

Step-by-step explanation:

\frac{ {( - 2)}^{4x + 2} }{ {( - 2)}^{2x} }  =  {( - 2)}^{12}  \\  =  \frac{ {( - 2)}^{4 \times 5 + 2} }{ { ( - 2)}^{2 \times 5 } }  \\  =  \frac{ {( - 2)}^{22} }{ { ( - 2)}^{10} }  \\  = \frac{4194304}{1024} \\  = 4096 = 4096(i.e \:  {( - 12)}^{12}   = 4096) \\

8 0
3 years ago
On the unit circle, which of the following angles has the terminal point coordinates (√2/2,-√2/2)
aleksandr82 [10.1K]

Answer:

Option B

Step-by-step explanation:

A unit circle means radius of the circle = 1 unit

Let a terminal point on the circle is (x, y) and angle between the point P and x-axis is θ.

Center of the circle is origin (0, 0).

Therefore, ordered pair representing the terminal point will be (OP×Cosθ, OP×Sinθ) = (\frac{\sqrt{2} }{2},-\frac{\sqrt{2} }{2})

OP.Cosθ = 1×Cosθ = \frac{1}{\sqrt{2}}

Cosθ = \frac{1}{\sqrt{2}}

θ = \frac{\pi }{4}+2\pi n,  \frac{7\pi }{4}+2\pi n where n = integers

Similarly, OP×Sinθ = 1×Sinθ = -\frac{1}{\sqrt{2}}

Sinθ = -\frac{1}{\sqrt{2} }

θ = \frac{5\pi }{4}+2\pi n,  \frac{7\pi }{4}+2\pi n where n = integer

Common value of θ will be, θ = \frac{7\pi }{4}

Option B will be the answer.

5 0
3 years ago
Determine which value is a solution to the open scentence.
Varvara68 [4.7K]

The correct answer is A because 24-6=18 18/2=9


5 0
4 years ago
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