In one phase of a cycling race, a cyclist has covered three fifths of the total distance. If
there are still thirty km left, what's the total distance of the race?

Answers

Answer 1

Step-by-step explanation:

3/5 are done, that means 2/5 are still to do.

that means these 30 km are these 2/5.

2/5 x = 30

2x = 150

x = 75

the total distance is 75 km.

Answer 2

Answer:

75 km

Step-by-step explanation:

2/5 = 30 km

→ Find 1/5

1/5 = 15 km

→ Now find 5/5 or 1

1 = 75 km


Related Questions


Last week, the price of oranges at the farmers market was $1.75 per pound. This week, the price has decreased by 15%. What is the price of
oranges this week?

Answers

Answer:

 11.6 (6 is repeating)

Step-by-step explanation:

1.75 divided by 15% of 75

Solve the following formula for x y = 7 m x − 8 b

Answers

Answer: It depends on which variable you're solving for.

Step-by-step explanation:

Solving for b: b=7/8mx + -1/8xy

Solving for m: m=xy+8b

                             ______

                                   7x

Solving for x: x=-8b

                           ___

                          -7m+y

Solving for y: y=7mx-8b

                           ______

                                 x

Description of a turn for those who have never done math / for a child​

Answers

Answer:

Step-by-step explanation:

1+1=2

2+2=4

3+3=6

4+4=8

5+5=10

DOES ANYONE KNOW PLEASE HELP ME I WILL MARK BRAINLIEST <3

Answers

Answer:

i got this i hope this is helpfulI'm sry I can't read and ans

Step-by-step explanation:

Electronic entry of medication orders through CPOE may reduce errors from poor handwriting or incorrect transcription. CPOE systems often include functionalities such as drug dosage support, alerts about harmful interactions, and clinical decision support, which may further reduce errors.


Please help me I don’t want to fail

Answers

Answer:

c

Step-by-step explanation:

Is it possible to arrange 152 books on a shelf so that the first shelf has 7 fewer books than the second shelf and 11 more than the third shelf?

Answers

Using a system of equations, it is found that since the solution of the system does not involve decimal numbers, it is possible to arrange the books in this way.

For the system, we consider that:

x is the number of books on the first shelf.y is the number of books on the second shelf.z is the number of books on the third shelf.

In total, there are 152 books, hence:

[tex]x + y + z = 152[/tex]

The first shelf has 7 fewer books than the second shelf, hence:

[tex]x = y - 7[/tex]

Also, it has 11 more books than the third shelf, hence:

[tex]x = z + 11[/tex]

Then:

[tex]y - 7 = z + 11[/tex]

[tex]z = y - 18[/tex]

Then, replacing in the first equation:

[tex]x + y + z = 152[/tex]

[tex]y - 7 + y + y - 18 = 152[/tex]

[tex]3y = 177[/tex]

[tex]y = \frac{177}{3}[/tex]

[tex]y = 59[/tex]

The number of books in each shelf has to be countable, that is, cannot be decimal.

Then, since the solution of the system does not involve decimal numbers, it is possible to arrange the books in this way.

To learn more about system of equations, you can take a look at https://brainly.com/question/14183076

are 6/12 and 12/24 equavilent​

Answers

Answer:

yes because they're both half of each other

Answer:

Yes

Step-by-step explanation:

Approximately what portion of the box is shaded blue?

A.2/3. B.9/10
C.3/5

Answers

It is 9/10 as the others are too small

I need some help plsssss

Answers

Answer:

(6, - 5 )

Step-by-step explanation:

The parabola is symmetrical about x = 4

The point (2, - 5 ) is 2 units to the left of x = 4 ,then

the point 2 units to the right of x = 4 is (6, - 5 )

Is the sum of 5x⁴ + x³ and 2x³ + x² a trinomial expression. If it is true, justify your answer.​

Answers

Answer:

The sum is a trinomial. It has three terms of different powers in variable "x" and three non zero constants as coefficients.

Step-by-step explanation:

(5x⁴ + x³) + (2x³ + x²) = 5x⁴ + 3x³ + x²

The sum of 5x⁴ + x³ and 2x³ + x² is a trinomial expression that is  5x⁴ + 3x³ + x²

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The sum is a trinomial. It has three terms of different powers in variable "x" and three non zero constants as coefficients.

We are given the expression as;

5x⁴ + x³ and 2x³ + x²

We need to find of the sum of the expression as;

(5x⁴ + x³) + (2x³ + x²)

= 5x⁴ + 3x³ + x²

The sum of 5x⁴ + x³ and 2x³ + x²  is  5x⁴ + 3x³ + x²

To know more about an expression follow;

brainly.com/question/19876186

#SPJ2

Sheila has $46 to buy graphing pads for her math class. Each pad costs $8.
How many pads can she buy? Do not include units in your answer.

Answers

Answer:

5

Step-by-step explanation:

If sheila has $46 to buy pads with, and each pad costs $8, then:

8 · 5 = 40

8 · 6 = 48

48 > 46,

So maximum amounts of pads she could is 5, and have remaining $6

Answer:

46÷8=5.75 so the answer is 5

What are the common factors of 24 and 36?
O A. 1,2,4,6, 12
O B. 1,2,3,4,6,12
C. 1,2,3,4,6,8,12
O D. 1,3,4,9,18

Answers

Answer:

B. 1,2,3,4,6,12

Step-by-step explanation:

Factors of 24: 1, 24, 2, 12, 3, 8, 4, 6

Factors of 30: 1, 36, 2, 18, 3, 12, 4, 9, 6,

can someone please tell me these answers

Answers

Answer:

4/5

Step-by-step explanation:

To find the rate of change, you are finding the slope of the chart.

Using the equation, △y/△x can be rewritten as [tex]\frac{y2-y1}{x2-x1}[/tex].

Plug in 2 coordinate points in the chart to find the rate of change.

[tex]\frac{8-4}{10-5} =\frac{4}{5}[/tex]

The rate of change is 4/5.

Factor the following expression. Type x^2 for 22 as needed. If it is not factorable, type unfactorable.
22-8x+16

Answers

Answer:

63

Step-by-step explanation:

you divide and add then subtract

What is the slope of the linear equation that has the values shown in the table

Answers

Answer:We noted above that a linear function has the form f(x)= mx+b, f ( x) = m x + b, where m m is the slope of the line, and b b is the y y -intercept. Since m m and b b can take on various values

Step-by-step explanation:

need to evaluate integral pls help me

Answers

Answer:

[tex]\displaystyle \int\limits^2_0 {f(x)} \, dx = \frac{159}{10}[/tex]

General Formulas and Concepts:

Calculus

Integration

IntegralsIntegral Notation

Integration Rule [Reverse Power Rule]:                                                               [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Integration Rule [Fundamental Theorem of Calculus 1]:                                     [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]

Integration Property [Multiplied Constant]:                                                         [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Integration Property [Addition/Subtraction]:                                                       [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]

Integration Property [Splitting Integral]:                                                               [tex]\displaystyle \int\limits^c_a {f(x)} \, dx = \int\limits^b_a {f(x)} \, dx + \int\limits^c_b {f(x)} \, dx[/tex]

Step-by-step explanation:

Step 1: Define

Identify.

[tex]\displaystyle f(x) = \left \{ {{9x^9 ,\ 0 \leq x \leq 1} \atop {4x^3 ,\ 1 \leq x \leq 2}} \right.[/tex]

[tex]\displaystyle \int\limits^2_0 {f(x)} \, dx = \ ?[/tex]

Step 2: Integrate

[Integral] Rewrite [Integration Property - Splitting Integral]:                       [tex]\displaystyle \int\limits^2_0 {f(x)} \, dx = \int\limits^1_0 {f(x)} \, dx + \int\limits^2_1 {f(x)} \, dx[/tex][Integrand] Substitute in function:                                                               [tex]\displaystyle \int\limits^2_0 {f(x)} \, dx = \int\limits^1_0 {9x^9} \, dx + \int\limits^2_1 {4x^3} \, dx[/tex][Integrals] Rewrite [Integration Property - Multiplied Constant]:               [tex]\displaystyle \int\limits^2_0 {f(x)} \, dx = 9 \int\limits^1_0 {x^9} \, dx + 4 \int\limits^2_1 {x^3} \, dx[/tex][Integrals] Integration Rule [Reverse Power Rule]:                                    [tex]\displaystyle \int\limits^2_0 {f(x)} \, dx = 9 \bigg( \frac{x^{10}}{10} \bigg) \bigg| \limits^1_0 + 4 \bigg( \frac{x^4}{4} \bigg) \bigg| \limits^2_1[/tex]Integration Rule [Fundamental Theorem of Calculus 1]:                            [tex]\displaystyle \int\limits^2_0 {f(x)} \, dx = 9 \bigg( \frac{1}{10} \bigg) + 4 \bigg( \frac{15}{4} \bigg)[/tex]Simplify:                                                                                                         [tex]\displaystyle \int\limits^2_0 {f(x)} \, dx = \frac{159}{10}[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

Answer:

Step-by-step explanation:

[tex]\int\limits^1_0 {9x^9} \, dx +\int\limits^2_1 {4x^3} \, dx[/tex]

=[tex]\frac{9x^{10}}{10} |_0^1 + x^4|_1^2[/tex]

[tex]=\frac{9}{10}+2^4 -1 = 15\frac{9}{10}[/tex]

What is the equation of the line in slope intercept form perpendicular to the y axis and has the point (-4,5)

Answers

Answer:

y=5

Step-by-step explanation:

If it is perpendicular to the y-axis, that means it is a horizontal line so the slope m=0.

Use the equation

y-y=m(x-x)

y-5=0(x-(-4))

y-5=0

y=5

Answer:

y=5

Step-by-step explanation:

Write a function rule for that table.

Answers

Answer

f(x) = x - 2

Step-by-step explanation:

If you subtract 2 from each x, you get the answer in f(x)

Help help help math math

Answers

Answer:

The slope is 1

Step-by-step explanation:

Notice that for every 2 unit increase in y, there's a 2 unit increase in x. This determines our slope, or rate of change. So, the slope is Δy/Δx=2/2=1.

Answer:

1

Step-by-step explanation:

A permanent magnet d.c. motor has an armature resistance of 0.5 Ω and when a voltage of 120 V is applied to the motor it reaches a steady-state speed of rotation of 20 rev/s and draws 40 A. What will be (a) the power input to the motor, (b) the power loss in the armature, (c) the torque generated at that speed

Answers

Answer:

applied to the motor it reaches a steady-state speed of rotation of 20 rev/s and draws 40 A. What will be (a) the power input to the motor, (b) the power loss in the armature, (c) the torque generated at that speed

voltage of 120 V is applied to the motor it reaches a steady-state speed of rotation of 20 rev/s and draws 40 A. What will be (a) the power input to the motor, (b) the power

Jane needs to memorize words on a vocabulary list for German class. She has memorized 8 of the words, which is one-fourth of the list. How many words
are on the list?

Answers

Answer:

x = 32 words

Step-by-step explanation:

Okay...let's get solving! :D Firstly, we

let the word list be x and convert the long paragraph into an equation that we can use.

one-fourth = 1/4

Memroized = 8 words

[tex]x * \frac{1}{4} = 8[/tex]

Thus, we solve the equation.

x = 32 words

subtract the polynomials (4x^2-9x-7)-(3x^2-5x-6)

Answers

Answer:

x^2 - 4x - 1

Step-by-step explanation:

If A is the center of the circle which of these is/are radii

Answers

Answer:

it could be

A to B

A to E

or A to F

all of them would work

Answer:

segments EA, AB, FA

Step-by-step explanation:

These points are all from the circumference, connecting to the radii, A.

Find m

J
L
K
∠JLK.

Answers

Answer:

m∠JLK° = 62°

Step-by-step explanation:

∠JLK = ∠KJL

SO

56°+2(∠JLK)° = 180°

2(∠JLK)° = 180-56

2(∠JLK)° = 124

∠JLK° = 62°

so m∠JLK° = 62°

Answer:

m∠JLK = 62°

Step-by-step explanation:

180 - 56 = 124

124 ÷ 2 = 62

Explain plzzzzzzzzzzzzzz

Answers

Answer:

8/3

Step-by-step explanation:

x equals 8/3

7x_2_4x_6=0

3x=8 ÷3 in both sides

Please look for the question in the picture.

Answers

Exact form: 94/5 decimal form : 18.8 mixed number form : 18 4/5

Answer:

Step-by-step explanation:

In six years Xavier will be 3 times older than Joanne is today. Joanne is 24. How old is Xavier?

Answers

Answer:

72

Step-by-step explanation:

Tim wants to create a circle graph showing the number of physicians whose specialty is aerospace medicine. He knows the following information.53 male physicians are under 35 years of age. 8 female physicians are under 35 years of age. 155 male physicians are between 35 and 44 years of age. 17 female physicians are between 35 and 44 years of age. 145 male physicians are between 45 and 54 years of age. 10 female physicians are between 45 and 54 years of age. 98 male physicians are over 54 years of age. 2 female physicians are over 54 years of age. If he wants to include each of the eight groups in his graph, how many degrees would he use for the central angle of the "45-54 year-old Males" sector? Express your answer to the nearest whole number.

Answers

Answer:

107 :)

Step-by-step explanation:

In total there are 53+8+155+17+145+10+98+2=488 physicians of aerospace medicine. 45-54 year-old males account for 145/488 of this population, so they should account for that fraction of the central angle of the circle graph also. Since there are 360 degrees in the central angle to divide up among the groups, the 45-54 year-old male group should get 145/488 x 360 which rounds to about 107 degrees.


Determine whether a triangle with the given side lengths is a right triangle.

Answers

Answer:

See answer below.

Step-by-step explanation:

This is true for all right triangle a² + b² = c²    were c = the largest number

9, 12, 15           A right triangle

21, 28, 35       A right triangle

9, 13, 16          Not a right triangle

10, 11, 15          Not a right triangle

One positive number is 7 more than twice another. If their product is 1425, find the numbers.

Answers

Answer:

25 and 57.

Step-by-step explanation:

Let the lowest number be x then the other is 2x + 7, So:

x(2x + 7) = 1425

2x^2 + 7x - 1425 = 0

2 * - 1425 = -2850 = -2 * 3 * 5 * 5 * 19

We need 2 numbers whose product is -2850 and whose sum is + 7.

These are 3 * 19 = 57 and -2* 5 * 5 = -50 so we write:

2x^2 - 50x + 57x - 1425 = 0  Now we factor by grouping:

2x(x - 25) + 57( x - 25) = 0)

(2x + 57) ( x - 25) = 0

x = -57, 25.

We ignore the negative as we are given that the number is positive,

x = 25 is one number and the other is 2(25) + 7 = 57.

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