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3 years ago

218 - 154 is the same as blank - 150

2 answers:

4 0

218 - 154 = 64 So blank - 150 = 64
You can set a equation to find blank
x - 150 = 64 solve for x (blank)
x = 214 So blank is 214
A: 218 - 154 is the same as 214 - 150

solniwko [45]3 years ago

3 0

Answer:

214-150 would be the answer.

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One-half of a cake is divided equally among 4 people at a party. What<br> fraction of the cake

ANTONII [103]

Answer:

1/8

Step-by-step explanation:

One half of the cake is four slices, and the entire cake (if it was all there) would be 8 slices. For the four slices to be distributed equally among the four people, each person gets 1 slice. 1 slice out of the 8 total in the cake would be 1/8 of the whole.

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3 years ago

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)Line CP is a perpendicular bisector to line segment AB. If

Nina [5.8K]

Answer:

Step-by-step explanation:

Line CP is a perpendicular bisector to line segment AB

two congruent lines are formed when AB is intersected ( bisector forms two equal in measure and congruent parts)

and

a right angle is formed between the line CP and AB ( perpendicular lines form right angles.)

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3 years ago

What value of a is a solution to this equation?<br> 1=3+a<br> 4

Romashka-Z-Leto [24]

Answer:

1=a4+3

Step 1: Subtract a^4+3 from both sides.

1−(a4+3)=a4+3−(a4+3)

−a4−2=0

Step 2: Add 2 to both sides.

−a4−2+2=0+2

−a4=2

Step 3: Divide both sides by -1.

−a4

−1

a4=−2

Step 4: Take root.

a=±(−2)(

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Answer:

No real solutions.

6 0

3 years ago

Expand and simplify(2x-3)(3x-5)

Andrews [41]

Answer:

6 $x^{2}$ - 19x + 15

Step-by-step explanation:

(2x - 3) (3x - 5)

2x(3x-5) - 3 (3x-5)

6 $x^{2}$ - 10x - 3 (3x - 5)

6 $x^{2}$ - 10x - 9x + 15

6 $x^{2}$ - 19x + 15

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2 years ago

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Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature varies between 73 and 9

Naddika [18.5K]

Answer: After about 9.03 hours the temperature first reach 82 degrees.

Step-by-step explanation:

The sinusoidal function is given by :

$y=A\sin[\omega(x-\alpha)]+C$

where, A = amplitude; $\omega=\dfrac{2\pi}{period}$ , α= phase shift on the Y-axis and C = midline.

As per given,

Average daily temperature= $C=\dfrac{73+97}{2}=85$ [midline is average of upper and lower limit.]

A= 97-85 = 12

Phase shift: $\alpha=10$

Period = 24 hours;

$\omega=\dfrac{2\pi}{24}=\dfrac{\pi}{12}$

Substitute all values in sinusoidal function, we get

$y=12\sin[\dfrac{\pi}{12}(x-10)]+85$

Put y= 82, we get

$82=12\sin[\dfrac{\pi}{12}(x-10)]+85\\\\\Rightarrow\ -3= 12\sin[\dfrac{\pi}{12}(x-10)]\\\\=\dfrac{-1}{4}= \sin[\dfrac{\pi}{12}(x-10)]\\\\\Rightarrow\ \dfrac{\pi}{12}(x-10)=\sin^{-1}(\dfrac{-1}{4})\\\\\Rightarrow\ x-10=\dfrac{12}{\pi}(\sin^{-1}(\dfrac{-1}{4}))\\\\\Rightarrow\ x=\dfrac{12}{\pi}(\sin^{-1}(\dfrac{-1}{4}))+10\\\Rightarrow\ x\approx9.03$

Hence, After about 9.03 hours the temperature first reach 82 degrees.

3 0

3 years ago