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Karolina [17]
3 years ago
10

What is z+6+z-11=z+49

Mathematics
1 answer:
aleksklad [387]3 years ago
4 0

Answer:

z=18

Step-by-step explanation:

z+6+z-11=z+49

2z-5=z+49

3z-5=49

3z=54

z=18

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How many years will it take for a person in the United States eat 1,120 pounds of turkey (14 pounds)
Liono4ka [1.6K]
If I understand you, a person eats about 14 pounds of turkey a year.  So we will divide all that turkey (1120 pounds) by 14 to find out how many years.

1,120 ÷ 14 = 80   So it will take 80 years.   (Since babies can't eat that much turkey a year it will actually take more than 80 years - or the person can eat more than 14 pounds in some years to make up for their early years when they ate less)  I know it's a math question, but I also like to be realistic about it.  Who measures the amount of turkey they eat yearly anyway?  :-)
3 0
4 years ago
I need help with this question??
salantis [7]
I believe it's four times as great : )
4 0
3 years ago
Can someone help me with these questions please?
kotykmax [81]

Step-by-step explanation:

You can solve systems of equations using either substitution or elimination.  For these problems, I recommend elimination.  I'll do the first one as an example.

-3x + 16y = 9

-4x + 8y = 12

Multiply the second equation by -2.

8x − 16y = -24

Add to the first equation (notice the y's cancel out).

(-3x + 16y) + (8x − 16y) = 9 − 24

5x = -15

Solve for x.

x = -3

Now you can plug this into either equation to find y.

-3(-3) + 16y = 9

9 + 16y = 9

y = 0

The solution is (-3, 0).

3 0
4 years ago
A hovercraft takes off from a platform. Its height (in meters), xxx seconds after takeoff, is modeled by: h(x)=-2x^2+20x+48h(x)=
Ad libitum [116K]

the maximum height is the y-value of the vertex.

h(x) = -2x² + 20x + 48

      <em>  a=-2, b=20, c=48</em>

x = \frac{-b}{2a} = \frac{-20}{2(-2)} = \frac{-20}{-4} = 5

h(5) = -2(5)² + 20(5) + 48

      =  -50   +  100   + 48

      =          50         + 48

      =                98

Answer: 98 meters

8 0
3 years ago
How can csc^2-cot^2 = 1?
Softa [21]

ANSWER

By simplifying the left hand side using the Pythagorean Identity.

EXPLANATION

The given identity is

\csc^{2} (x) -  \cot^{2} (x) = 1

Take the left hand side and simplify to get the right hand side.

\csc^{2} (x) -  \cot^{2} (x) =  \frac{1}{\sin^{2} (x)}  - \frac{ \cos^{2} (x)}{\sin^{2} (x)}

Collect LCM for the denominators.

\csc^{2} (x) -  \cot^{2} (x) =  \frac{1 -  \cos^{2} (x)}{\sin^{2} (x)}

Recall the Pythagorean Identity.

\cos^{2} (x) +  \sin^{2} (x) = 1

This implies that:

1 -  \cos^{2} (x) =  \sin^{2} (x)

We substitute this to get,

\csc^{2} (x) -  \cot^{2} (x) =  \frac{\sin^{2} (x)}{\sin^{2} (x)}

\csc^{2} (x) -  \cot^{2} (x) = 1

6 0
3 years ago
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