Roselyn is driving to visit her family, which live 150 150150 kilometers away. Her average speed is 60 6060 kilometers per hour. The car's tank has 20 2020 liters of fuel at the beginning of the drive, and its fuel efficiency is 6 66 kilometers per liter. Fuel costs 0.60 0.600, point, 60 dollars per liter. How long can Roselyn drive before she runs out of fuel?

Answer:

x= 24

Step-by-step explanation:

open the bracket

4×3x =12x + 4 × 2 =8

12×+ 8-6×6

12×+ 12

x= 24

Answer:

12x - 28

Step-by-step explanation:

Because of PEMDAS you start with the parentheses and distribute the 4.

So,

(12x + 8) -6 x 6

Then, solve for the 6's

(12x + 8) -36

Remove the parentheses

12x + 8 - 36

Lastly, you get

12x - 28.

This is as far as you can go because there is no equals sign so you cannot actually solve for x.

Answer:

31.28%

Step-by-step explanation:

The z score is used in statistics to determine by how many standard deviations the raw score is above or below the mean. If the raw score is above the mean then the z score is positive while if the raw score is below the mean then the z score is negative. It is given by:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Given the z score z = -1.2 z = 0.85. From the normally distribution table, the probability that a value falls between z = -1.2  and z = 0.85 = P(z < 0.85) - P(z < -1.2) = 0.8023 - 0.1151 = 0.6872

The proportion of values that do not fall between z = -1.2 and z = 0.85 = 1 - 0.6872 = 0.3128 = 31.28%

Answer:

Option B.

Step-by-step explanation:

The measure of cage is 90 feet by 40 feet.

Length of rope [tex]=40\sqrt{2}[/tex] foot

It is clear that, length of rope is greater than one side of cage and raw a line which divides the cage in two parts as shown in below figure.

We need to find the shaded area.

By Pythagoras theorem:

[tex]hypotenuse^2=base^2+perpendicular^2[/tex]

[tex](40\sqrt{2})^2=(40)^2+perpendicular^2[/tex]

[tex]3200=1600+perpendicular^2[/tex]

[tex]3200-1600=perpendicular^2[/tex]

[tex]1600=perpendicular^2[/tex]

[tex]40=perpendicular[/tex]

So, it is a square.

From the figure it is clear that the shaded area contains 1/8th part of circle are half part of square.

Area of circle is

[tex]A_1=\pi r^2[/tex]

[tex]A_1=\pi (40\sqrt{2})^2[/tex]

[tex]A_1=3200\pi[/tex]

Area of square is

[tex]A_2=a^2[/tex]

[tex]A_2=(40)^2[/tex]

[tex]A_2=1600[/tex]

Area of shaded portion is

[tex]A=\dfrac{A_1}{8}+\dfrac{A_2}{2}[/tex]

[tex]A=\dfrac{3200\pi}{8}+\dfrac{1600}{2}[/tex]

[tex]A=400\pi+800[/tex]

[tex]A=400(\pi+2)[/tex]

The required area is [tex]400(\pi+2)[/tex] sq. ft.

Therefore, the correct option is B.

Answer:

T = 0.01925 m

Step-by-step explanation:

It is given that,

Thickness of a piece of a paper is [tex]5.5\times 10^{-4}\ m[/tex]

Total number of pieces are 35

We need to find the thickness of the whole stack. It is simply a case of unitary method.

For 35 pieces, thickness is :

[tex]T=35\times 5.5\times 10^{-4}\\\\T=0.01925\ m[/tex]

So, the thickness of the whole stack is 0.01925 metres.

Answer:

0

Step-by-step explanation:

Common Difference = Difference between any two consecutive terms

= - 4 - (-4)

= - 4 + 4

= 0

Answer:

XN = 6

Step-by-step explanation:

Given XY is an angle bisector then the ratio of the sides is equal to the corresponding ratio of the base, that is

[tex]\frac{AX}{XN}[/tex] = [tex]\frac{AY}{YN}[/tex] , substitute values

[tex]\frac{18}{XN}[/tex] = [tex]\frac{12}{4}[/tex] ( cross- multiply )

12XN = 72 ( divide both sides by 12 )

XN = 6

Answer:

The slope is  ( d-b)/ ( c-a)

Step-by-step explanation:

To find the slope we can use the slope formula

m = ( y2-y1_/(x2-x1)

  = ( d-b)/ ( c-a)

Answer:

answer is 90°

Step-by-step explanation:

it's simple , these both angles are complementary so sum of both is 90°

I hope it helped:)

Answer:

see below

Step-by-step explanation:

58+32 = 90

The angles add to 90 degrees, so the angles are complementary

Answer:

r = 6

Step-by-step explanation:

Hello!

-8 - 2(7r + 1) = -94

Add 8 to both sides

-2(7r + 1) = -86

Divide both sides by -2

7r + 1 = 43

Subtract 1 from both sides

7r = 42

Divide both sides by 7

r = 6

Hope this Helps

Step-by-step explanation:

Sum means adding of numbers

Product means multiplying the numbers

Difference means minus two numbers

First number is 2 and other number is 9.

Sum of 2 and 9 = 2+9 = 11

Product of 2 and 9 = 2×9 = 18

Difference between 2 and 9 = 9-2 = 7

Hence, this is the required solution.

If [tex]x-a[/tex] is a factor of a polynomial [tex]P(x)[/tex] then, [tex]a[/tex] is its root.

So [tex]-2[/tex] is a root of [tex]x^3-19x-p[/tex]

[tex](-2)^3-19\cdot(-2)-p=0\\-8+38-p=0\\p=30[/tex]

Answer:

A, C

Step-by-step explanation:

Only B is containing a variable .

The  -5 is not variable.

We have given that,

A.3x2

B. y

A

C. -5

In the expression 3x^2 + y -5

We have to determine which of the following terms does not have a variable.

variable, In algebra, a symbol stands in for an unknown numerical value in an equation. Commonly used variables include x and y (real-number unknowns), z (complex-number unknowns), t (time), r (radius), and s (arc length).

Only C contains a variable.

The  -5 is not variable.

To learn more about the variable visit:

https://brainly.com/question/2804470

#SPJ2

Answer:

Step-by-step explanation:

A "difference" indicates subtraction is being used. The difference between these 2 numbers is found the same way we find the distance between 2 points on a number line. Since both the difference and the distance have to be positive numbers, the formula to find it is

|a - b| which is the absolute value of a - b.

If a = -52 and b = -79:

| -52 - (-79) | = | -52 + 79 | = 27 OR

If a = -79 and b = -52:

| -79 - (-52) | = | -79 + 52 | = | -27 | = 27

Answer:

hope this help

Step-by-step explanation:

good luck

Answer:

6

Step-by-step explanation:

The correct answer for this question is: If his college costs will total $64,000, it take Mark to recover his investment assuming he has a salary of $32,000 upon graduating for "2 years."

= 64,000 / 32, 000

= 2 years

Assuming that there'll be no additional costs in the middle of his college.

If you found this please brainliest it :)

Answer:

it is not 2 years

Step-by-step explanation:

Answer:

Mean = $70.8

Median = $70

Mode = $60

Step-by-step explanation:

From the line plot attached,

Prices of the sunglasses are,

$20, $20, $50, $50, $50, $60, $60, $60, $60, $60, $60, $70, $70, $70, $80, $80, $80, $80, $90, $90, $90, $90, $100, $100, $130

Since mean of the data = Average of the terms

                                       [tex]=\frac{\text{Sum of the terms in the data set}}{\text{Number of terms}}[/tex]

                                       = [tex]\frac{2(20)+3(50)+6(60)+3(70)+4(80)+4(90)+2(100)+130}{(2+3+6+3+4+2+1)}[/tex]

                                       = [tex]\frac{40+150+360+210+320+360+200+130}{25}[/tex]

                                       = [tex]\frac{1770}{25}[/tex]

                                       = $70.8

Median = Middle term of the data set

Since number of terms of the data set are odd (25)

Therefore, median = [tex](\frac{n+1}{2})\text{th term}[/tex] [where n = number of terms in the data set]

                               = [tex]\frac{25+1}{2}[/tex]

                               = 13th term

13th term of the data set is $70.

Therefore, Median = $70

Mode = Term repeated the most

In the data set $60 is the term which is repeated the most (6 times).

Therefore, Mode = $60

Answer:

A. 90°

Step-by-step explanation:

Any angle that has a box on it denotes that the angle is a right angle.

Definition of a right angle is 90°.

So our answer must be 90°

Answer:

A

Step-by-step explanation:

∠ADC is the same thing as ∠D. ∠D has the little right-angle symbol. Thus, ∠D is a right angle. All right angles are 90°. Therefore, ∠D or ∠ADC is 90°.

Answer:

The apartment with the number 207 is in the second floor of the building that comes before the building with apartments numbered 109, 110, 111, and 112

Step-by-step explanation:

The given information of the naming of the apartments are;

The four apartments on the first floor of the building were numbered, 109, 110, 111, and 112

Therefore;

The first digit number, 1, which is consistent, represent the floor number (first floor)

The buildings in the complex are 9-story buildings, with 9 × 4 = 36 Apartments each

Therefore, for the numbers of the apartment to be from 9 to 12, on the floor, the numbering of the apartments is sideways such that the numbers of the apartment in the given building will be X09, X10, X11, and X12, where X is the floor number

The previous building apartment will be numbered X05, X06, X07, X08

Therefore, the apartment with the number 207 is in the second floor of the previous building to the one given.

Answer:

Apartment 207 is in 7th floor of the building number 6 .

Step-by-step explanation:

Given:

There are 9 floors in the building

The number of building and floor of apartment 207 .

Each floor in the building has four apartments

The number of apartment in a building = 4 * 9 = 36

Numbers on each floors are 01 to 36 after floor number

first floor of one of the buildings, we have four apartments numbered 109, 110, 111, and 112.

From the numbers, 1 is representing the floor number

9 , 10 , 11 & 12 are representing four apartments number

Recall,

Each floor has 4 apartments

207 = 36 * 5 + 4 * 6 + 3

36 * 5 = 5 buildings

4 * 6 = 6 floor of 6th building

180+24=204

205 - 208 =6th building 7th floor

Apartment 207 is in 7th floor of the building number 6 .

Answer:

x = -2

Step-by-step explanation:

since y is common in both equations, you can equate them to be equal

-2x² - 4x + 5 = 2x² + 4x + 5

4x² + 8x = 0

factor out 4x

4x(x + 2) = 0

divide both sides by 4x

x + 2 = 0

x = -2

Answer:

B

Step-by-step explanation:

since the graph shows dotted line the sign has to be < or > so C and D eliminated from your answer

y>2/3 x +1 is your answer (B)

Answer:

Option B is the correct option.

Step-by-step explanation:

point ₁ ( - 3 , - 1 ) x₁ = - 3 , y₂ = - 1

point ₂ ( 3 , 3 ). x₂ = 3 , y₂= 3

Now, let's find the slope:

Slope ( m ) = [tex] = \frac{y2 - y1}{x2 - x1} [/tex]

[tex] = \frac{3 - ( - 1)}{3 - ( - 3)} [/tex]

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

[tex] = \frac{4}{6} [/tex]

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

At ( 3 , - 1 )

y = mx + c , where m is the gradient / slope amd c is called the intercept on y-axis

[tex] - 1 = \frac{2}{3} \times ( - 3) + c[/tex]

Solve for c

[tex] - 1 + 2 = c[/tex]

[tex]c = 1[/tex]

Since, The red line is dotted line. Therefore it does not include the equal to part. And the shaded region is upper part. Hence, ' > ' should be used.

The answer would be:

[tex]y > \frac{2}{3} x + 1[/tex]

Hope I helped!

Best regards!

Answer:

oyo archer comes here in answer your real answer it is 7 divided by 7 divided / 2 / to the answer X to other words if you're into Google with answers in churches of students

Answer:

Era

Step-by-step explanation:

Century, Decade and Millennium have something in common and that which they have in common is that they are all measurement of time.

The keyword measurement implies that they are units of time just like seconds, minutes, hours, etc.

Century -> 100 years

Decade -> 10 years

Millennium -> 1000 years

However, era is used to describe events in history;

Take for instance; the era of the first generation of computer;

So, from the list of given options; Era best answers the question

An era describes a time period marked by a change that begins a new period.

An era :

Examples of eras include:

All the eras mentioned above were distinct in how people behaved so in conclusion we can say that an era is a time period that begins a new period of development.

Find out more at https://brainly.com/question/20315058.

Answer:

Step-by-step explanation:

The standard form of writing a scientific notation is expressed as [tex]a.b*10^n[/tex] where a, b and n are integers. Note that a, b and n cannot be a fraction. When writing in scientific notation, the value of 'a' must not be equal to zero and it must not be a 'two digits values' but just 'a digit value'.

Based on the above conclusion, the following numbers are correctly written in scientific notation.

1×10⁻⁴ and 9.8×10⁵

- The expression 10.8×10 −3 is not correctly written because the value of a on comparison is a two digits number i.e 10.

- Also, 0.54×10^6 is not correctly written because a is zero on comparison

- 7.6×10 2.5 is not correctly written because the power is a decimal number i.e 2.5. We must only have an integer as the degree.

Answer:

81cm squared

Step-by-step explanation:

Area for triangle:

base x height x 1/2 =

5cm x 6cm x 1/2 =

30cm/2 = 15cm squared

Area for rectangle:

length x width:

11cm x 6cm = 66cm squared

Add the totals together = 66cm + 15cm = 81cm squared

Answer:

(triangle)

A. A= b × h ÷ 2

= 5cm × 7cm ÷ 2

= 35cm ÷ 2

= 17.5cm²

(rectangle)

B. A= L × W

= 11cm × 6cm

= 66cm²

(total of both area)

Total = A+B

=17.5cm² + 66cm²

=83.5cm²

Step-by-step explanation:

To find the area of a triangle, you must do the following formula:

Area= base × height ÷ 2

=x²

To find the are of the rectangle, you must do the following formula:

Area= Length × Width

= x²

Then you add the are of the first shape, A, with the second shape, B.

Total= A + B

=x²

I hope this helps! I'm sorry if it's wrong.

Answer:

433.5 in²

Step-by-step explanation:

A cube has 6 sides

Area of 1 side = 8.5 x 8.5 = 72.25 in²

Area of 6 sides = 72.25 x 6 = 433.5 in²

Answer: c-433.5

Step-by-step explanation: A cube has 6 sides

Area of 1 side = 8.5 x 8.5 = 72.25 in²

Area of 6 sides = 72.25 x 6 = 433.5 in²

Answer: 433.5 in²

Answer:

0.069

Step-by-step explanation:

0.3*0.23=0.069

Answer:

15 lawns

Step-by-step explanation:

The Xbox costs $400 and his parents gave him $100. He needs to earn $300 more. $20 each lawn so $100 for 5 lawns. 5 lawns times three.

Xbox cost =400

Daniel's money =100

Xbox cost - Daniel money=300

yard cost =20

therefore 400 -100 /20

Daniel's need 15 yards to get the xbox

Answer:

a. $4,950

b. The question is asking us to calculate the simple interest that would be earned on the deposited amount for the given number of years at the given interest rate

c. Simple interest

Step-by-step explanation:

a. We want to calculate the amount of interest to be earned in six years

To calculate this, we use the formula for simple interest.

Mathematically;

Simple interest I = PRT/100

Where P is the principal which is the amount deposited = $15,000

R is the rate which is 5.5%

T is the time which is 6 years

Substituting these values in the simple interest formula, we have

I = (15,000 * 5.5 * 6)/100 = $4,950

b. The question is asking us to calculate the simple interest that would be earned on the deposited amount for the given number of years at the given interest rate

c. Simple interest

Answer:

55.5 ÷ 100 = 0.555

Step-by-step explanation:

When you ask, "What is 55.5 as a decimal?", we assume you want to know what 55.5 percent is as a decimal. In other words, 55.5 percent converted to decimal.

First, we will tell you why it is useful to know 55.5 as a decimal.

Normally, to calculate 55.5 percent, you would multiply a number by 55.5 percent and then you would take the product of that and divide it by 100 to get the answer.

Instead, you can simply multiply a number by 55.5 as a decimal to get the answer.

55.5 percent means 55.5 per hundred. Therefore, to get 55.5 as a decimal, all you have to do is divide 55.5 by 100 like so:

55.5 ÷ 100 = 0.555

Answer:

55.5% = 0.555

Step-by-step explanation:

55.5% = 55.5/100 = 0.555

Answer:

5/11

Step-by-step explanation:

divide numerator and denominator by 9

5/11

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

    ✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                                   PEACE!

Answer:

5/11

Step-by-step explanation:

45/99

Divide the top and bottom by 9

45/9 = 5

99/9 = 11

5/11