If a car covers 102 km in 6.8 liters of petrol , how much distance will it cover with 24.2 liters of petrol

Answers

Answer 1

Answer: $x-distance\n\nFrom\ proportion:\n\n6.8\ \ \ -\ \ \ 102\n24.2\ \ -\ \ \ x\n\n6.8x=2468.4\ \ \ \ \ \ |:6.8\nx=363\n\nThis\ car\ can\ cover\ 363\ miles$

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Which of the following does not have a sum of -4?-8 + 4
-6 + 2
(-4) + 8
2 + (-6)

Answers

(-4) + 8 = 4
(-----------------)

A spherical ballon with a radius r inches has volume V(r)=4/3 pir^3. Find a function that represents the amount of air required to inflate the balloon from a radius inches to a radius of r+1 inches.

Answers

Answer:

The function that represents the amount of air is $\Delta V =\cfrac 43 \pi (3r^3+3r+1)$

Step-by-step explanation:

The amount of air here represents the difference between V(r) and V(r+1), so we can start working by finding an expression for the volume at r+1, and then subtract the original volume V(r).

Volume of balloon of radius r+1 inches.

We can replace r with r+1 on the formula and we get:

$V(r+1)=\cfrac43 \pi (r+1)^3$

We can expand $(r+1)^3$ since we will use it to simplify it later on.

So we will have first

$(r+1)^2 = (r+1)(r+1)\n(r+1)^2 =r^2+r+r+1\n(r+1)^2 = r^2+2r+1$

We can multiply that result by (r+1) to get $(r+1)^3$

$(r+1)^3= (r+1)^2 (r+1)\n(r+1)^3=(r^2+2r+1)(r+1)\n(r+1)^3= r^3+2r^2+r+r^2+2r+1\n(r+1)^3 =r^3+3r^2+3r+1$

Thus the volume equation at r+1 will be

$V(r+1)=\cfrac 43 \pi (r^3+3r^2+3r+1)$

Finding the amount of air required to inflate from r to r+1

The amount required to inflate is the difference of volumes, so we have

$V(r+1)-V(r)=\cfrac 43 \pi (r^3+3r^2+3r+1) \cfrac 43 \pi r^3$

Combinging both into one term by factor $\cfrac 43 \pi$ give us

$V(r+1)-V(r)=\cfrac 43 \pi (r^3+3r^2+3r+1-r^3)$

Simplifying

$V(r+1)-V(r)=\cfrac 43 \pi (3r^2+3r+1)$

And that function represents the amount required to inflate the balloon from r to r+1 inches.

A baseball team has a record of 47 wins and 39 losses. How many games must the team win, in a row, so that the winning percentage will be above 70%?A: 23 wins
B: 13 wins
C: 14 wins
D: 32 wins
E: 44 wins

Answers

A baseball team has a record of 47 wins and 39 losses, then they have to win 44 games in a row so that their winning percentage will be above 70%. Hence, option E is correct.

What is the percentage?

The Latin term "per centum," which signifies "by the hundred," is where the word "percentage" originally came from. With 100 as the denominator, percentage are fractions. To put it another way, it's the relationship here between component and a whole, in which the value of the whole is always assumed to be 100. A specific portion or amount in each hundred is referred to as the percentage. The fraction is denoted by the sign "%," and its denominator is 100.

Finding the proportion of a whole in units of 100 is the goal of percentage calculations. There are two methods to calculate a percentage:

Through the unitary approach.
By making 100 the new denominator of the proportion.

To know more about Percentage:

brainly.com/question/29306119

#SPJ2

Answer:

44 wins

Step-by-step explanation:

47+39+x/100*70

Sean was at batting practice.He swung 25 times but only hit the ball 15 times

Answers

if u are asking how many times he missed it is 10 times bc 25 - 15 is 10

Solve for X in 5x/10=2

Answers

5x=2*10
5x=20
x=20/5
x=4

Given Equation: 5x/10 = 2.
Steps:

Step 1: Multiply both sides of the equation by the L.C.M of the numerators of both sides of the equation ( 10 and 1). L.C.M is 10

(5x/10).10 = 2x10

5x = 20

Step 2: Divide both sides by the co-efficient of x i.e.5

(5x)/5 = 20/5

x = 4

I hope this helps

Explain how to do the factor tree for 75

Answers

separate 75 into two numbers. Lets use 15 and 5. 15 can be reduced into 3 and 5, while 5 cannot be reduced. The remaining numbers you have will be 5, 5, and 3.

75
/ \
15 5
/ \
3 5

Like this- . 75 . /. \. . 25. 3 . /. \. . 5. 5. So the factors are- 3x5x5. Hope I helped!

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Which equation is true for the value x = 15?2(x + 3) = 402(x − 5) = 302(x + 5) = 40x + 2x = 303x − x = 45