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3 years ago

Nola’s car gets approximately 42 miles per gallon. She is planning to drive x miles with her friends

Mathematics

2 answers:

Alika [10]3 years ago

8 0

What’s the question?

Oksana_A [137]3 years ago

6 0

If this is the question: what expression represents the number of gallons of gas she should expect to buy?

Then the answer is;

42 miles per gallon

What about x miles?

That gives x times 1 gallon divide by 42 miles

Which equals x/42 gallons.

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If one endpoint of a line segment is (2, 8) and the midpoint is (-4, 7), what is the other endpoint? (8, -5)

Pepsi [2]

( - 10, - 22 )

using the midpoint formula,

let the other endpoint have coordinates (x, y) then

$\frac{1}{2}$ (2 + x ) = - 4 ( multiply through by 2 )

2 + x = - 8 ( subtract 2 from both sides ) then

x = -8 - 2 = - 10 ← value of x-coordinate

Similarly for y-coordinate

$\frac{1}{2}$ (8 + y ) = - 7 ( multiply through by 2 )

8 + y = - 14 ( subtract 8 from both sides )

y = - 14 - 8 = - 22 ← y -coordinate

the other endpoint is ( - 10, - 22 )

7 0

3 years ago

The price of a ticket was increase from 50p to 60p. What is the increase a as a fraction in its simple form? As a percentage of

PSYCHO15rus [73]

10p or 20% was added on

5 0

3 years ago

Read 2 more answers

A circle is inscribed in a square. A point in the figure is selected at random. Find the probability that the point will be in t

hram777 [196]

P of selecting point on the shaded region = shaded area/whole area
P( selecting point on the shaded ) = ( the four shaded circles ) / the whole square 
P of selecting point on the shaded = ( 4 * ( π * r^2 ) )/ x^2 
P of selecting point on the shaded = ( 4 * ( π * (x/4)^2 ) )/ x^2 
P of selecting point on the shaded = ( 4 * ( π * x^2/16 ) )/ x^2 
P of selecting point on the shaded = ( π * x^2/4 )/ x^2 
P of selecting point on the shaded = x^2( π/4 )/ x^2 
P( selecting point on the shaded ) = π/4 ≈ 0.7854 ≈ 79%
=80%
D is right option hope this helps

4 0

4 years ago

The sum of three numbers is 10. Two times the second number minus the first number is equal to 12.

eimsori [14]

Answer:

-10,1,19

Step-by-step explanation:

x+y+z = 10 (Equation 1)

2y-x= 12 (Equation 2)

x-y+2z = 7 (Equation 3)

(Equation 2): -x = -2y+12

x = 2y-12 (Equation 4)

(Equation 1) - (Equation 3): 2y-z = 3

-z = -2y+3

z = 2y-3 (Equation 5)

Substitute (4) and (5) into (1)

x+y+z = 10

(2y-12)+y+(2y-3) = 10

5y-15 = 10

5y = 5

y=1

Substitute y=1 into (2)

2y-x= 12

2(1)-x= 12

2-x= 12

-x= 12-2

-x= 10

x= -10

Substitute y=1 and x=-10 into (1)

x+y+z = 10

-10+1+z = 10

z-9 = 10

z = 10+9

z = 19

Order: x = -10, y = 1, and z = 19

8 0

3 years ago

Read 2 more answers

When Alice spends the day with the babysitter, there is a 0.6 probability that she turns on the TV and watches a show. Her littl

lara [203]

Answer:

A. P("Both Alice and Betty watch TV") = 12/25

B. P("Betty watches TV") = 12/25

C. P("Only Alice watches TV") = 3/25

Step-by-step explanation:

A. Because what we are told, Betty need that Alice turn on the TV, so, we first need the probability that she watches TV:

P(Alice)=3/5 (0.6)

And we know that:

P(Betty)=4/5 (0.8)

If we want the probability of both things happening at the same time (If you use a tree diagram, those events will be in the same branch), we proceed multiply them:

P("Both Alice and Betty watch TV") = 3/5 * 4/5 = 12/25

And this is the answer

B. Considering that Betty needs Alice to turn on the TV, the probability of Betty watching TV is the same as if she is with Alice.

P("Betty watches TV") = P("Both Alice and Betty watch TV") = 12/25

C. We use the same process as part A, but with a little difference. We now multiply for the probability that Betty does not watch TV (Because they still be in the same branch).

P("Betty does not watch TV") = 1 - P("Betty")

P("Betty does not watch TV") = 1 - 4/5

P("Betty does not watch TV") = 1/5

And the answer for part C is:

P("Alice watches TV without Betty") = 3/5 * 1/5 = 3/25

5 0

3 years ago