Mrs.Watt traveled between two cities that were 750 km apart. On the return trip, she increased her average rate of travel by 20 km/hr and made the trip in 10 hours less time. Find her rate of travel in each direction.

Answer:

[tex]m = 3 m = - \frac{9}{4} [/tex]

Step-by-step explanation:

correct me if I'm wrong

Answer:

b = 9

Step-by-step explanation:

0.5 bh= 29.25

thus

(0.5)(b)(6.5)=29.25

thus

b= 58.5/6.5 = 9

Answer:

9?

Step-by-step explanation:

[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer}}[/tex]

Here we go ~

[tex]\qquad \tt \dashrightarrow \:16x - 4 = 0[/tex]

[tex]\qquad \tt \dashrightarrow \:16x - 4 + 4 = 0 + 4[/tex]

[tex]\qquad \tt \dashrightarrow \:16x = 4[/tex]

[tex]\qquad \tt \dashrightarrow \:x = 4 \div 16[/tex]

[tex]\qquad \tt \dashrightarrow \:x = \frac{1}{4} [/tex]

The Value of x is :-

16x - 4 = 0

16x = 4

x = 4/16

x = 1/4

Let the tens digit of the number be x .

ones digit = ( 14 - x ) ( since the sum of the 2 digits is 14 )

Two - Digit number = 10 ( tens digit ) + ones digit

Required number ,

Reversed number ,

Given ,

Reversed number - Required number = 36

✯ 140 - 9x - ( 9x + 14 ) = 36

✯ 140 - 9x - 9x - 14 = 36

✯ 126 - 18x = 36

✯ 126 - 36 = 18x

✯ 18x = 90

✯ x = 5

♧ Thus , Required number is 10 × 5 + 9 = 59

Given -

i.e, if two numbers are x and y then, x + y = 14

i.e, if 10y + x then 10y + x = 10x + y + 36.

To find -

Concept -

If a, b and c are real number (and if a and b both are not equal to 0) then ax+by=c is called a linear equation in two variables (The two variables are x and y)

The numbers a and b are called the coefficient of the equation ax+by=c. The number r is called the constant of the equation ax+by = c

PS - first we will construct two linear equations and then we'll find the number.

Solution -

Let, x + y = 14

➜ y = 14 - x ----(i)

and we'll solve 10y + x = 10x + y + 36 further,

➜ 10y + x = 10x + y + 36

➜ 10y - y = 10x - x + 36

➜ 9y = 9x + 36

➜ 9x - 9y = -36

➜ 9(x - y) = -36

➜ x - y = -4 ----(ii)

Substituting the value of y (in equation (i)) in equation (ii),

➜ x - (14 - x) = -4

➜ x - 14 + x = -4

➜ 2x = -4 + 14

➜ 2x = 10

➜ x = 10/2

➜ x = 5

Now to find the value of y we will substitute the value of x in equation (i),

➜ y = 14 - 5

➜ y = 9

Therefore, the number is {10(5)+9,i.e,} 59.

Probability = number of desired outcomes / number of total outcomes

Multiples of 3 = 3, 6, 9, 12, 15, 18 = 6 possibilities

Total number of outcomes = 20

6 / 20 = 3 / 10

Answer: 3/10

Hope this helps!

Answer:

  325 adult tickets

Step-by-step explanation:

This "sum and difference" problem can be solved by assigning a single variable to the quantity you want to know. Let 'a' represent the number of adult tickets sold. Then (a-60) is the number of student tickets sold, and the total number sold is ...

  a +(a -60) = 590

  2a = 590 +60

  a = 650/2 = 325

There were 325 adult tickets sold.

__

Check

325-60 = 265 student tickets were sold, for a total of 325+265 = 590.

_____

Additional comment

You may have noticed that the larger number of tickets (number of adult tickets) was found to be the average of the two numbers given in the problem statement. That will generally be the case for a "sum and difference" problem.

Answer:

[tex]56[/tex]

Step-by-step explanation:

[tex]10 \times 5 + 6[/tex]

[tex]50 + 6 = 56[/tex]

Answer:D

Step-by-step explanation: Perimeter of field is 2(length +breadth)

=2(47+158)

=410 yards.

Convert to feet= 1230ft

1ft =$3.28

1230ft will be 1230×3.28

Ans $4034.4

Answer:

S=N+2

Step-by-step explanation:

Just a heads up I don't think that this is correct

If Susan is 2 years older than Nancy then N=S-2 which stands for Nancy is 2 years yonger than Susan. So for the bottom eqaution, if Susan is 2 years older than Nancy then that should be S=N+2 to stand for the fact that Susan is 2 years older than Nancy.

I AM SO SORRY IF THIS ISN'T CORRECT

-dani <3

Answer:

S=N+2

Step-by-step explanation:

Answer:

y=-x2 - 8x – 18 is shown by graph D.

y=x2 - 4x + 7 is shown by graph A.

y=X+5 is shown by graph C.

y=-3x - 6 is shown by graph B.

Step-by-step explanation:

In y=-x2 - 8x – 18, the coefficient of x2 is less than 0.So the graph only has a maximum value.Thefore , the graph is point upward.

In y=x2 - 4x + 7, coefficient of x2 is greater than 0.

So the graph has a minimum point and is pointed downward.

for y =x + 5, the gradient is positive.so it is graph C.There is another way to find out too but this is quicker for now.

for y = -3x - 6, the gradient is negative ,-3.So it is the graph B.

Answer:

D A C B

Step-by-step explanation:

Answer:

C. 2160π units³

Step-by-step explanation:

Volume of a cylinder is given by the formula :

V = πr²h

Substituting values given gives us :

V = π(12)²(15)

V = π(144)(15)

V = 2160π units³ (since it is volume)

Answer:

[tex]\boxed{\sf{C. \quad 2160\pi \quad units^3}}[/tex]

Step-by-step explanation:

It is necessary to use their formula to solve this problem with the volume of the cylinder.

Volume of the cylinder formula:

[tex]\Longrightarrow: \sf{V=\pi r^2h}}[/tex]

[tex]\sf{12^2(15)}[/tex]

Solve.

Use the order of operations.

PEMDAS stands for:

First, solve with exponents.

[tex]\sf{12^2=12*12=144}[/tex]

Then, rewrite the problem down.

144(15)

Multiply.

[tex]\sf{144*15=\boxed{\sf{2160}}}[/tex]

The point that is not on the graph of the linear equation y = 10 + x is given by:

C. (8, 2)

It is given by:

y = 10 + x.

Hence, all the points on the graph have the following coordinates:

(x, x + 10).

Option C does not follow this format, hence it is not on the graph.

More can be learned about linear equations at https://brainly.com/question/24808124

#SPJ1

=======================================================

Explanation:

x = total number of students surveyed

According to the table, 0.075 of the students (aka 7.5%) have blond hair and blue eyes. This means 0.075x is the number of blond hair blue eye people.

Also, 0.125x is the number of brown hair blue eye people for similar reasoning as the previous paragraph.

We're told that "There are 4 more students with brown hair and blue eyes than blond hair and blue eyes"

So,

(BrownHair_BlueEyes) = (BlondHair_BlueEyes) + 4

0.125x = (0.075x) + 4

0.125x-0.075x = 4

0.05x = 4

x = 4/0.05

x = 80

There are 80 students surveyed.

Of those eighty students,  0.075x = 0.075*80 = 6 have blond hair and blue eyes; while 0.125x = 0.125*80 = 10 have brown hair and blue eyes. Notice how this is four more than the blond person count with blue eyes. This confirms we have the correct sample size.

The last step is to calculate how many of the students have black hair based on the sample size we just found.

The table shows 25% = 0.250 of the students have black hair, so 0.25x = 0.25*80 = 20 students have black hair

Answer:

(x-8)(x-8) are the factors of the following biominals

Answer:

Step-by-step explanation:

Answer:

option I

Step-by-step explanation:

Option I 168 yd²

The surface area =168 yd²

I hope it helped you

Answer:

7 songs costs $8.4

Step-by-step explanation:

6/5=  $1.2 for each song

1.2 times 7=  $8.4

7 songs costs $8.4

Pattern A = 1, 4, 7, 10, 13

Pattern B = 1, 5, 9, 13, 17

Each term is increases at a faster rate in pattern B; the difference between terms increases by one per step. In pattern A, 1 jumps to 4, while in pattern B, 1 jumps to 5. There is a difference of one. But when in pattern A, 4 jumps to 7, in pattern B, 5 jumps to 9. The is a difference of two between these two terms even though they are on the same "jump." This difference increases by one per "jump." (Jump is not the official word for this but I'm assuming this isn't a sequence problem.)

Answer:

4GB

Step-by-step explanation:

cause if you think about it if they already have used 2GB in half the month then its' reasonable to think it would be 4GB. simple math

Answer: [tex]x=18[/tex] ; [tex]y=6\sqrt{3}[/tex]

Step-by-step explanation:

You can write two expressions that are in terms of 'x' and 'y'. This is a right triangle, so Pythagorean's theorem can be used. We can also use the angle to find the sine of 30 degrees.

Pythagorean's Theorem:

The values 'a' and 'b' are the two shorter sides of the triangle, while the value 'c' is the longest side of the triangle; the hypotenuse.

[tex]a^2+b^2=c^2[/tex]

[tex]x^2+y^2=(12\sqrt{3} )^2[/tex]

[tex]x^2+y^2=12^2*\sqrt{3} ^2=432[/tex]

Sine of the Angle:

Sine is defined to be the opposite side divided by the hypotenuse. Let's take the sine of 30 degrees:

[tex]sin(\alpha )=opposite/hypotenuse[/tex]

[tex]sin(30)=y/12\sqrt{3}[/tex]

[tex]\frac{1}{2} =y/12\sqrt{3}[/tex]

[tex]y=6\sqrt{3}[/tex]

Plug this value of 'y' into the first expression derived from Pythagorean's theorem:

[tex]x^2+y^2=432[/tex]

[tex]x^2+(6\sqrt{3} )^2=432[/tex]

[tex]x^2+108=432[/tex]

[tex]x^2=432-108=324[/tex]

[tex]x=\sqrt{324}[/tex]

[tex]x=18[/tex]

Use this value of 'x' to solve for 'y' in the expression from Pythagorean's theorem:

[tex](\sqrt{324})^2+y^2=432[/tex]

[tex]324+y^2=432[/tex]

[tex]y^2=432-324=108[/tex]

[tex]y=\sqrt{108}[/tex]

[tex]y=\sqrt{36*3}[/tex]

[tex]y=6\sqrt{3}[/tex]

Step-by-step explanation:

Pythagoras's rule:  [tex]a^2 + b^2 = c^2[/tex]  becomes  [tex]x^2 + 10^2 = y^2[/tex]

If we say b = 10: [tex]b = 10 = \sqrt{c^2 - a^2} = \sqrt{y^2 - x^2}[/tex]

You only need to look at the left triangle

Which of the options follows Pythagoras's rule?

Let's try the options until we get the right one (in no particular order)

If we try: 3) x = 4 y = [tex]29\sqrt{2}[/tex]...

[tex]\sqrt{(29\sqrt{2})^2 - 4^4} = 7\sqrt{34} \neq 10[/tex]

If we try: 4) x = 16 y = 116...

[tex]\sqrt{116^2 - 16^2} = 20\sqrt{3} \neq 10[/tex]

If we try: 2) x = 16 y = 29...

[tex]\sqrt{29^2 - 16^2} = 3\sqrt{65} \neq 10[/tex]

If we try: 1) x = 4 y = [tex]2\sqrt{29}[/tex]...

[tex]\sqrt{(2\sqrt{29})^2 - 4^2} = 10[/tex]

Answer:

The answer is A. Mean; because the data is skewed and there are outliers

Answer:

The answer is A

Answer:

Answer Linked below

Step-by-step explanation:

Answer:

1. 83 square inches

2. 7.065 square centimeters

Step-by-step explanation:

Hey there!

In order to find the area of the shaded region of the rectangle, you need to first find the area of the whole shape

The dimensions are 10 and 16 and if you multiply them together, you get 160

This means that the area of the whole shape is 160

Now they are asking for the area of the shaded shape, so we need to find the area of the white rectangle, and then subtract that area from 160

The dimensions for the white rectangle is 11 and 7

This means that the area of the white rectangle is 77

Now what we need to do is subtract 77 from 160

160-77=83

So the area of the shaded region is 83 square inches

Now to get to the second question

We need to find the area of the quarter circle

In order to find this, we need to first find the area of the whole circle, then divide that by 2

They gave us the radius already which makes it a lot easier (the radiues is 3)

All we need to do is input 3 into the formula for the area of a circle

[tex]\pi r^2[/tex]

In this case, since they are telling us to use 3.14 as pi, the equation would look like this:

[tex]3.14*3^2[/tex]

This can be simplified to [tex]3.14*9[/tex] which is equal to 28.26

So this is the area of the whole circle

But the question is asking for the area of a quarter of that circle

So what we need to do is divide 28.26 by 4 which is 7.065

So the area of the quarter circle is 7.065 square centimeters

weekly raise= $145

let's assume the first paycheck as x.

she got a weekly raise of $145.

So, after concluding the first week she'll get $ (x+145).

likewise, after completing the second week she'll get $ (x + 145) + $ 145.

= $ (x + 145 + 145)

= $ (x + 290)

therefore, this is how her salary will get increased by $145 at the end of every week.

Answer:

10.71

Step-by-step explanation:

You first convert 75.4 millimeters to centimeters, and you will get 7.54. Now you subtract 18.25 and 7.54 to get the answer 10.71

Answer: Since the pie is round it is a circle, and all circles have 360 degrees in total. Miguel cut 1/4 of the pie and 1/4 x 360 = 90. 90 is greater than 60.

Step-by-step explanation:

Answer:

Miguel has the larger piece. 1/4 is equal to 90, because 360/4 = 90.

So Miguel has the larger piece

Step-by-step explanation:

Answer:

307.876080 ft^3

Step-by-step explanation:

307.876080 ft3

Answer:

3 1/5 meters

Step-by-step explanation:

1/4 in. on map ⇒ 1 meter in real life

⇒ 4/5 in. = 16/20 inches

⇒ 16/20 inches = 1/5 x 16 = 3 1/5 meters