Max drives 85 km at an average speed of 110 km/h and then 7 km at 70 km/h without stopping.
What is the average speed for the whole journey to 1 dp?

Answer:

[tex]x^2 + 6 = 31[/tex]

Step-by-step explanation:

Given

[tex]Painted = 6ft^2[/tex]

[tex]Total = 31ft^2[/tex]

Dimension of unpainted area:

[tex]Length = Width = x[/tex] --- Square

Required

Determine an expression to solve for x

First, calculate the area of the unpainted space;

[tex]Area = Length *Width[/tex]

[tex]Area = x*x[/tex]

[tex]Area = x^2[/tex]

The unpainted area, added to the painted area, equals the total area.

So, we have:

[tex]Area + Painted = Total[/tex]

[tex]x^2 + 6 = 31[/tex]

Hence, the expression is: [tex]x^2 + 6 = 31[/tex]

Answer:

0.5625 = 56.25% probability that she will make the next two free-throws in the next game.

Step-by-step explanation:

For each free throw, there are only two possible outcomes. Either Sellina makes it, or she misses. The probability of making a free throw is independent of any other free throw. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

75% of her free-throws.

This means that [tex]p = 0.75[/tex]

What is the probability that she will make the next two free-throws in the next game?

This is P(X = 2) when n = 2. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{2,2}.(0.75)^{2}.(0.25)^{0} = 0.5625[/tex]

0.5625 = 56.25% probability that she will make the next two free-throws in the next game.

Answer:

4

Step-by-step explanation:

3+7+2

12

12/3

4

Given:

Bl parallel to RA.

To find:

The value of x.

Solution:

In triangle ATR and ITB,

[tex]\angle ATR\cong \angle ITB[/tex]              [Common angles]

[tex]\angle ART\cong \angle IBT[/tex]              [Corresponding angle]

[tex]\triangle ATR\sim \triangle ITB[/tex]              [AA property of similarity]

We know that the corresponding sides of a similar triangle are proportional. So,

[tex]\dfrac{AT}{IT}=\dfrac{AR}{IB}[/tex]

[tex]\dfrac{x}{x+8}=\dfrac{12}{18}[/tex]

[tex]\dfrac{x}{x+8}=\dfrac{2}{3}[/tex]

On cross multiplication, we get

[tex]3(x)=2(x+8)[/tex]

[tex]3x=2x+16[/tex]

[tex]3x-2x=16[/tex]

[tex]x=16[/tex]

Therefore, the correct option is C.

Answer:

Rs.27000

Step-by-step explanation:

60000 ÷ 2 = 30000 per year

30000 × [tex]\frac{10}{100}[/tex] = Rs. 3000

30000 - 3000 = Rs. 27000

Answer:

Step-by-step explanation:

K+4 = 11;

k = 7

Answer:

B is true

Step-by-step explanation:

so use k+4=11 to solve that k+7

Answer:

$120,000

Step-by-step explanation:

Given that

The price of the new car is $750,000

And, the saving percent is 16%

We need to find out the saving amount for the deposit

SO, the saving amount is

= $750,000 × 16%

= $120,000

We simply multiply these two to each other so that the saving amount could come

Answer:

x = 9

Step-by-step explanation:

x + 3 = 12

subtracting both sides by 3

x + 3 - 3 = 12 - 3

x + 0 = 9

x = 9

Answer:

x = 9

Step-by-step explanation:

x + 3 = 12

x (+ 3 - 3) = 12 - 3

x = 9

Answer:A

Step-by-step explanation:

Answer:

15/8

Step-by-step explanation:

You will want all numbers to have the same common denominator, then you can add them together.

1 = 8/8

1/2 = 4/8

1/4 = 2/8

1/8 = 1/8

[tex]1+\frac{1}{2} +\frac{1}{4} +\frac{1}{8} \\\frac{8}{8} +\frac{4}{8} +\frac{2}{8} +\frac{1}{8}[/tex]

Answer:

A translation 1 unit left and 2 units up

Step-by-step explanation:

1) look at the point at the very bottom-we can call that point A

2) that point on figure C would be at (3,-5)

3) if you move it to the left one and up two, you get that same point but on figure D

So, the answer is the second option

The change she receive = 20-6.43= 13.57$

Answer:

$13.57

Step-by-step explanation:

$20 - $6.43

=13.57

The only table that represents a function is the fourth option.

A function is a relation that maps elements from a set (domain) into elements of another set (range).

Such that each element from the domain can be mapped into only one element from the range.

In the table, the "x" values are from the domain, and the "y" values are from the range.

So, if you see a table with the same value of x being mapped into two different values of y, then that relation is not a function.

With that in mind, the only table that meets this property is table number 4.

If you want to learn more about functions, you can read:

https://brainly.com/question/1770447

Answer:

1st option:  55 + 19.50m = 250

Step-by-step explanation:

Step-by-step explanation:

3(3a+4b)+4(2a-5b)

=9a+12b+8a-20b

=17a-8b

Answer:

12.5 inches

Step-by-step explanation:

Im taking the exam!!

Answer:

11 is the missing number

Answer:

the answer should be 11 your welcome

Answer:

Domain:

(−∞,5/2),{x/x<5/2}

Step-by-step explanation:

not sure tho wait for someone else to see if its true

Ans it depends but i think it is a and b

Answer:

3.9 mi^2 (rounded)

Answer:

The dot plot shows that most planes fly below the optimal cruising speed. This means that the airline isn’t being as efficient as it can be. So, the manager needs to have a discussion with the pilots to determine why they aren’t reaching the optimal cruising speed or check the planes to make sure everything is running at full capacity.

Step-by-step explanation:

the answer that is given on edmentum

Answer:

(2, −6.5)

Step-by-step explanation:

The solution to a system of equations is where they intersect

They intersect near x = 2 y = -6.5

Answer:

(2, −6.5)

Step-by-step explanation:

Answer:  38 feet

Step-by-step explanation:

Based on the dimensions of the garden, we can infer that it a rectangular garden because one side is longer than the other.

The perimeter of a rectangle is calculated as:

= (2 * length) + (2 * width)

= (2 * 15) + (2 * 4)

= 30 + 8

= 38 feet

Answer:

6.34 years

Step-by-step explanation:

Given data

Principal P=$5,000

Rate r= 8%

Final amount A=  $8,303.00

The expression for the time will be

t= ln(A/P)/r

substitute

t= ln(8,303.00/5000)/0.08

t= ln(1.6606)/0.08

t= 0.507/0.08

t= 6.3375

Hence the time is about 6.34 years

Answer:

The y-int is different -1 is the y-int.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

You must find the diameter then half it, so the radius, and then multiply it by 3.14152

Step-by-step explanation:

Answer:

x =417.6

Step-by-step explanation:

0.5x+78.2=287

Subtract 78.2 from each side

0.5x+78.2-78.2=287-78.2

.5x =208.8

Divide each side by .5

.5x/.5 = 280.8/.5

x =417.6

Answer:

[tex]Volume=56\frac{1}{4}[/tex] cubic feet

Step-by-step explanation:

Given

[tex]L =3\frac{3}{8}ft[/tex] --- Length

[tex]W =13\frac{1}{3}ft[/tex] --- Width

[tex]H =3\frac{3}{4}[/tex] --- Tank

[tex]Water\ level = \frac{2}{3}[/tex]

Required

Space not covered with water

If the water level is:

[tex]Water\ level = \frac{2}{3}[/tex]

Then the empty space is:

[tex]Empty = 1 - Water\ level[/tex] --- Complement rule

[tex]Empty = 1 - \frac{2}{3}[/tex]

Take LCM

[tex]Empty = \frac{3-2}{3}[/tex]

[tex]Empty = \frac{1}{3}[/tex]

So, the volume of the empty space is:

[tex]Volume=L*W*H*Empty[/tex]

[tex]Volume=3\frac{3}{8} *13\frac{1}{3}*3\frac{3}{4}*\frac{1}{3}[/tex]

Express fraction as improper fraction

[tex]Volume=\frac{27}{8} *\frac{40}{3}*\frac{15}{4}*\frac{1}{3}[/tex]

Simplify

[tex]Volume=\frac{9}{8} *\frac{40}{3}*\frac{15}{4}[/tex]

Simplify

[tex]Volume=\frac{3}{8} *\frac{40}{1}*\frac{15}{4}[/tex]

Simplify

[tex]Volume=\frac{3}{1} *\frac{5}{1}*\frac{15}{4}[/tex]

[tex]Volume=\frac{3*5*15}{4}[/tex]

[tex]Volume=\frac{225}{4}[/tex]

[tex]Volume=56\frac{1}{4}[/tex]

Answer:

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