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Tju [1.3M]
3 years ago
9

Lucy is driving to her aunt's house. The table shows the amount of gasoline in Lucy's car after the given number of hours drivin

g. Determine the
initial amount of gasoline in the car when she started the trip. Assume that the relationship between the two quantities is linear.
a. 14
b. 12
c. 2
d. 0

Mathematics
1 answer:
AlladinOne [14]3 years ago
7 0

Answer:

the answer is b 12

Step-by-step explanatio

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In a state with a sales tax rate of 7% hernandez buys a radio for 59.99 and a cd for 13.99. how much is the sales tax
yawa3891 [41]
Your total without tax is $73.98
7%=0.07
0.07×73.98=5.1786≈5.18
The sales tax is approximately $5.18
7 0
3 years ago
Melissa got 18 out of 20 on a math quiz. Tom got 85% on the quiz. Whose mark was greater? (Show all of your proof
Korvikt [17]

Answer:

Melissa

Step-by-step explanation:

Melissa: 18/20

Tom: 85/100

Find the common denomenater so multiply 18*5 and 20*5

Melissa: 95/100

95>85

Melissa has the greater mark

4 0
3 years ago
Let u = (1, k) and v = (2, 1). Find k such that The distance between u and v is 1 u and v are orthogonal The angle between u and
SVETLANKA909090 [29]

Answer:k=1,k=-2,k=8\pm 5\sqrt{3}

Step-by-step explanation:

Given two vectors

u=1\hat{i}+k\hat{j}

v=2\hat{i}+1\hat{j}

\left ( i\right )Distance between them is given by

|u-v|=\sqrt{\left ( 2-1\right )^2+\left ( 1-k\right )^2}=1

squaring both side

1^{2}+\left ( 1-k\right )^2=1

k^2-2k+1=0

\left ( k-1\right )^2=0

k=1

\left ( ii\right )

angle between u and v is 90 i.e. orthogonal

u\dot v=0

\left ( 1\hat{i}+k\hat{j}\right )\dot \left ( 2\hat{i}+1\hat{j}\right )=0

2+k=0

k=-2

\left ( iii\right )

angle between u & v is \frac{\pi }{3}

u\dot v=|u||v|cos\left (\frac{\pi }{3}\right )

|u|=\sqrt{1^2+k^2}

|v|=\sqrt{2^2+1^2}

2+k=\left ( \sqrt{1+k^2}\right )\left ( \sqrt{5}\right )cos\left ( \frac{\pi }{3}\right )

\left ( 4+2\right )^2=\left ( 1+k^2\right )5

k^2-16k-11=0

k=8\pm 5\sqrt{3}

7 0
3 years ago
X+1/2(x-4)=1/2x+6(x-2)
Andrej [43]

Answer:

B) 1

Step-by-step explanation:

x+1/2(x-4)=1/2x+6(x-2)

x+1/2x-4/2=1/2x+6x-12

x+1/2x-1/2x-2=6x-12

x-2=6x-12

x-6x-2=-12

-5x-2=-12

-5x=-12+2

-5x=-10

5x=10

x=10/5

x=2

8 0
2 years ago
Which equations model exponential growth?
elena-s [515]
P = A(1+r)^x

where P is the population at time x
A is the initial population and r is the growth/decay rate. Growth will be +positive r number added to the 1. Where as decay subtracts r. So any answers that are > than 1 which is answers  A and B.
8 0
3 years ago
Read 2 more answers
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