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luda_lava [24]
3 years ago
9

9. Ms. Guzman started a 950-mile trip with a full tank of gas. Her 12-

Mathematics
2 answers:
ratelena [41]3 years ago
6 0

Answer:

37.5 miles per gallon

Step-by-step explanation:

450/12 =37.5

this is around about how much it is

meriva3 years ago
3 0

Answer:

37.5mi/g

Step-by-step explanation:

So if she's going 950mi total with a 12g tank, and is almost empty at 450mi, you would do 450mi / 12g which would be 37.5mi/g

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Part a: if (6^2)^x = 1, the value of x is 0. the reason for it being 0 is because anything to the power of 0 equals 1. part b: i
exis [7]
The value of x is all real numbers because 6^0 is 1 and 1 raised to the power of any number will still be 1.
4 0
3 years ago
Use the Law of Sines to find the measure of angle R to the nearest degree.
IrinaK [193]
\frac{\sin(R)}{PQ} = \frac{\sin(Q)}{PR}

\frac{\sin(R)}{24.7} = \frac{\sin(43^{\circ})}{16.9}

\sin(R) = 24.7*\frac{\sin(43^{\circ})}{16.9}

\sin(R) \approx 0.9967668

R \approx \arcsin(0.9967668)

R \approx 85.39137896^{\circ}

R \approx 85^{\circ}

The final answer is 85 degrees
4 0
3 years ago
DU
Grace [21]

Answer:

a    true

b   false

c.    false

d.   true

e.    false

f.   true

Step-by-step explanation:

The function is y =35+8x where x is the number of items sold and y is the earnings

To determine if the point is on the graph substitute the point in and see if it is true

a (7,91)

91 = 35+ 8(7)

91 = 35+ 56  

91 = 91   true

b(11, 121)

121 = 35+ 8(11)

121 = 35+ 88  

121 = 123   false

c. (9, 110)

110 = 35+ 8(9)

110 = 35+ 72  

110 = 107   false

d. (4,67)

67 = 35+ 8(4)

67 = 35+ 32  

67 = 67   true

e. (5,72)

72 = 35+ 8(5)

72 = 35+ 40  

72 = 75   false

f. (3, 59)

59 = 35+ 8(3)

59 = 35+ 24  

59 = 59   true

8 0
3 years ago
147.1 is what percent of 155
Harrizon [31]
Solution for what is 147.1% of 155

155/x=100/147.1
(155/x)*x=(100/147.1)*x       - we multiply both sides of the equation by x
155=0.67980965329708*x       - we divide both sides of the equation by (0.67980965329708) to get x
155/0.67980965329708=x 
228.005=x 
x=228.005

now we have: 
147.1% of 155=228.005

3 0
3 years ago
Write the equation of a piecewise function with a jump discontinuity at x =3. Then, determine which step of the 3-step test for
seraphim [82]

Answer:

Here's a possible example:

Step-by-step explanation:

f(x) =\begin{cases} x & \quad x < 3\\x+3 & \quad x \geq 3\\\end{cases}

Each piece is linear, so the pieces are continuous by themselves.

We need consider only the point at which the pieces meet (x = 3).

\displaystyle \lim_{x \longrightarrow 3^{-}} f(x) = \lim_{x \longrightarrow 3^{-}} x = 3\\\\\displaystyle \lim_{x \longrightarrow 3^{+}} f(x) = \lim_{x \longrightarrow 3^{+}} x+3 = 6\\\\f(3) = x + 3 = 6\\\\\displaystyle \lim_{x \longrightarrow 3^{-}} f(x) \neq f(3)

The left-hand limit does not equal ƒ(x), so there is a jump discontinuity at x =3.

5 0
3 years ago
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