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salantis [7]
3 years ago
9

Carlos has used 40 cell phone minutes each day for one full week. His cell phone plan allows for a total of 320 minutes per week

.
Which fraction represents the ratio of cell phone minutes remaining to total minutes?
Mathematics
1 answer:
Vesnalui [34]3 years ago
4 0
320/40 which you simplify.
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Consider the equations y = √x and y = x^2 - 1
lord [1]
<h3>Answer:</h3>

(x, y) ≈ (1.49021612010, 1.22074408461)

<h3>Explanation:</h3>

This is best solved graphically or by some other machine method. The approximate solution (x=1.49, y=1.221) can be iterated by any of several approaches to refine the values to the ones given above. The values above were obtained using Newton's method iteration.

_____

Setting the y-values equal and squaring both sides of the equation gives ...

... √x = x² -1

... x = (x² -1)² = x⁴ -2x² +1 . . . . . square both sides

... x⁴ -2x² -x +1 = 0 . . . . . polynomial equation in standard form.

By Descarte's rule of signs, we know there are two positive real roots to this equation. From the graph, we know the other two roots are complex. The second positive real root is extraneous, corresponding to the negative branch of the square root function.

8 0
3 years ago
Nina’s garden is 4 1/5 meters long and 3/10 meter wide. What is the area of Nina’s garden?
Leno4ka [110]

Answer:

63/50 meters^2 or in mixed number: 1 13/50 meters^2

Step-by-step explanation:

Area= length * width

length = 4 1/5= 21/5 . Multiply the whole number with the denominator. 4*5= 20 . Add 20 with the numerator. 20+1=22

width= 3/10

21/5* 3/10 ( Multiply the denominators together). ( Multiply the numerators together).

21*3 / 5*10

8 0
2 years ago
The state of Texas gained its independence from
padilas [110]
It would be 2020-1836 = 184 years ago
3 0
2 years ago
5. A monument casts a 78 ft. shadow at the same time that a vertical yardstick casts a 4.5 ft. shadow. How high is the monument?
rodikova [14]

Hello,

Using Thalès 's theorem:

Let's h the height of the monument.

\dfrac{1}{h} =\dfrac{4.5}{78} \\\\h=\dfrac{78}{4.5} =\dfrac{156}{9} \approx{17.3\ (ft)}

If you don't know what is the Thalès's theorem,

imagine that the similar triangles.

5 0
2 years ago
Easy variable question pls help
svet-max [94.6K]

Answer:

z = -4 1/2

Step-by-step explanation:

1. First change the mixed fractions to improper fractions so it's easier

\frac{16}{5\\}/(z-\frac{1}{2}) = \frac{8}{3}/(z+\frac{1}{3})

2. Simplify

\frac{32}{5(2z-1)} = \frac{8}{3z+1}

3. Cross multiply

32(3z+1) = 5(2z-1) * 8

4. Simplify again (distributive property)

32(3z+1) = 40(2z-1)

5. Distributive property

32(3z+1) -> 96z+32  

40(2z-1) -> 80z-40

96z+32=80z-40

6. Subtract 32 from both sides

96z+32-32 = 80z-40-32

7. Simplify

96z = 80z-72

8. Subtract 80 from both sides

96z-80z=80z-72-80z

9. Simplify

16z=-72

10. Divide both sides by 16

\frac{16z}{16}=\frac{-72}{16}

11. Simplify

z=-\frac{9}{2} -> also = -4\frac{1}{2}

Sorry if it was too long but hope this helps! :)

And also try using symbolab cuz it gives step by step explanations it's really good!

7 0
2 years ago
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