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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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Which of the following expressions is equivalent to 2/ 5 ÷ 7 /8 ?
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You haven't provided expressions, so I can work out the problem for you. When we divide fractions, remember always "keep, switch, flip!" That's what we're gonna do here. We keep the 2/5, switch the sign to multiplication, and flip the 7/8 to 8/7. Therefore, we have 2/5*8/7. That gives us 16/35. Hope this helps!
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Which of these pairs of points defines a line with slope of 4? (help asap pls)
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Forensic scientists can estimate the overall height of an adult male based on the length of the femur bone. A femur bone that is
faust18 [17]

Answer:

h = 1.88f + 32.01

Step-by-step explanation:

To find the linear equation, we first find the gradient of the linear equation from

(y₂ - y₁)/(x₂ - x₁) = m and using the values of the length of femur and overall height respectively, where x₁ = 18 inches and y₁ = 65.85 inches and x₂ = 14 inches and y₂ = 58.33 inches

So, (y₂ - y₁)/(x₂ - x₁) = m

(58.33 - 65.85)/(14 - 18) = m

-7.52/-4 = m

m = 1.88

So, to find the linear equation, we use

(y - y₁)/(x - x₁) = m where f₁ = 18 inches and h₁ = 65.85 inches

So, (y - y₁)/(x - x₁) = m

(y - 65.85)/(x - 18) = 1.88

(y - 65.85) = 1.88(x - 18)

y - 65.85 = 1.88x - 33.84

collecting like terms, we have

y = 1.88x - 33.84 + 65.85

y = 1.88x + 32.01

Given that y = h = overall height of adult male and x = f = length of femur,

h = 1.88f + 32.01

6 0
3 years ago
Given: F(x)=2x-1; g(x)=3x+2; h(x)=x^2 find h(x+a)-h(x)
umka21 [38]
h(x)=x^2\\\\h(x+a)=(x+a)^2=x^2+2ax+a^2\\\\h(x+a)-h(x)=(x^2+2ax+a^2)-(x^2)=2ax+a^2
5 0
3 years ago
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A can do a piece of work in 4 hours and B can do it in 6 hours. How much time would they take working together to finish the wor
Kipish [7]

Answer:

2.4 hours

Step-by-step explanation:

Let total work = X

Rate of work done = X ÷ time

Rate of A = X/4

Rate of B = X/6

If they work together, rate is the sum of their individual rates, i.e.

X/4 + X/6

= (3X + 2X)/12 (taking LCM)

=5X/12

Rate = X/time

5X/12 = X/time

time = X÷(5X/12)

time = X × 12/(5X)

time = 2.4 hours

Shortcut:

Product of individual times/sum of individual times

= (4×6)/(4+6)

=24/10

=2.4 hours

8 0
3 years ago
Read 2 more answers
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