A car travels at a constant speed, as shown on the double number line. Double number line. Time, hours. Distance, kilometers. How far does the car travel in 14 hours? Explain or show your reasoning.

Answers

Answer 1

Answer:

980 km.

Step-by-step explanation:

The speed of the car is constant,

From the double number line:

When the time is 0 hour, the distance covered is 0 km.

When the time is 1 hour, the distance covered is 70 km.

When the time is 2 hours, the distance covered is 140 km,

which can be written as

when the time is 2 hours, the distance covered is 70 x 2 km.

Similarly,

When the time is 3 hours, the distance covered is 210= 70 x 3 km.

This can be generalized as,

When the time is n hours, the distance covered is  70 x n km, i.e

The distance traveled in n hours = 70 x n km.

So, for 14 hours, n= 14,

Hence, the distance traveled in 14 hours = 70 x 14= 980 km.


Related Questions

The Eiffel Tower in Paris France has 674 steps that go from the ground to second floor there are 328 steps from ground to first floor how many steps are there from the floor to the second floor

Answers

Answer:

346

Step-by-step explanation:

i think

How does anyone know how to prove parallel lines, especially when there are two pairs of them?

Answers

Answer:

Step-by-step explanation:

If two lines are cut by a transversal so that any pair of alternate interior angles are congruent, then the lines are parallel. If two lines are cut by a transversal so that any pair of corresponding angles are congruent, then the lines are parallel. You can use these converses to decide whether two lines are parallel.

Can somebody help? Tysm

Answers

X is equal to 8. The work for that is on the attached picture.

Emir and his family ordered a meal that cost $50. Emir paid 8% sales tax and left an 18% tip on $50. What was the total cost?

Answers

Answer:

$63.00

Step-by-step explanation:

Your first step is to change the percents into fractions, you do this by moving the decimal point two times to the left.

Your equations look like this:

Tip equation: .18 * 50 = $9.00

Tax equation: .08 * 50 = $4.00

Then you just add them all up to get the total, and you get,

9+4+50 = 63

show work / explain it​

Answers

Answer:inequality form  x  ≤  -1

for 3x + 9  ≤ 6

Step-by-step explanation:isolate the variable by dividing eash side by factors that dont contain the variable

Answer:

Answer Varies

Step-by-step explanation:

For the 1st equation, there are a lot of numbers that could fit x, such as any negative number, such as -1,-2,-3, etc. For the 2nd equation, 9 and below would work. Please correct me if I am wrong because everybody makes mistakes.

0.5 e + 20= 25


solving equations

Answers

Answer:

e = 10

Step-by-step explanation:

Simplifying

0.5e + 20 = 25

Reorder the terms:

20 + 0.5e = 25

Solving

20 + 0.5e = 25

Solving for variable 'e'.

Move all terms containing e to the left, all other terms to the right.

Add '-20' to each side of the equation.

20 + -20 + 0.5e = 25 + -20

Combine like terms: 20 + -20 = 0

0 + 0.5e = 25 + -20

0.5e = 25 + -20

Combine like terms: 25 + -20 = 5

0.5e = 5

Divide each side by '0.5'.

e = 10

Simplifying

e = 10

Answer:

e = 1

Step-by-step explanation:

0.5e + 20 = 25

0.5e = 5

e = 1

You subtract 20 from 25 to get 5. Then you divide 5 by 5 to get e = 1

pls give brainliest!!

A biologist begins working with a sample containing 20,000 bacteria. The population size doubles every 10 days according to the equation p(t)=20,000(2)^t/10, where t represents the number of days. After seven days the biologist begins working with a second sample of 20,000 bacteria. The equation used to represent the population of sample 2 after t days is p(t)=20,000(2)^t-7/10. Which of the following is an equivalent form of the equation for the population of sample 2?

Answers

Answer

p(t) = 20,000^10 root of 2^t/10 root of 2^7. i think

Step-by-step explanation:

5p - 13 < 32
Please and thank you

Answers

Answer:

p < 9

Step-by-step explanation:

5p-13<32

Subtract 13 from both sides.

5p<45

divide 5 from both sides

p < 9

A group of people planned to go to the amusement
park. Adult tickets are $45.00 and child tickets are $20.
There are two adults in the group. If the budget for the
trip is $600, what is the greatest number of children
that can attend.

Answers

Answer:the greatest amount of children that can go is 30

Step-by-step explanation:

$20 x 30= $600

(x-5) divided by (x^2+3x-40)

Answers

Answer:

1/ x +8

*The 1 over x + 8

Answer:

[tex]\frac{1}{x+8}[/tex]

Step-by-step explanation:

Here is your original equation:

[tex]\frac{x-5}{x^{2} +3x-40}[/tex]

What we need to focus on is simplification, specifically simplifying the denominator. First, let's isolate the denominator (we'll get back to [tex]x-5[/tex] later):

[tex]x^{2} +3x-40[/tex]

Next, we take a look at -40. Our goal is to find what factors of 40 create a sum of 3 so we can separate the equation for polynomial division.

Let's begin building our expressions. We know that [tex]x^{2}[/tex] has an exponent of 2. When variables are multiplied, the exponents are added, meaning that [tex]x*x=x^{2}[/tex]. (Or [tex]x^{1} + x^{1} =x^{2}[/tex] , the 1s just don't show)

We can also see that -40 is a negative number. A negative multiplied by a positive makes a negative product, so we can also include one positive and one negative in each expression.

[tex]x^{2} +3x-40 = (x+)(x-)[/tex]

Next, let's look at the factors of 40:

1 and 40   2 and 20   4 and 10   5 and 8

Which of these factors can make a sum of 3? Remember that one number has to be positive and the other has to be negative!

[tex]8-5=3[/tex]

In this instance, our positive number is 8 and our negative number is 5. They create the sum of 3 that we're splitting in [tex]3x[/tex]. Therefore, [tex]8(-5)=-40[/tex].

[tex]x^{2} +3x-40 = (x+8)(x-5)[/tex]

Now let's go back to our original equation and substitute our old expression with the new one:

[tex]\frac{x-5}{(x+8)(x-5)}[/tex]

Do you notice that the numerator and part of the denominator are equal? This means that they can cancel each other out! Think of it as a [tex]\frac{1}{1}[/tex].

[tex]\frac{x-5}{(x+8)(x-5)}[/tex] = [tex]\frac{1}{x+8}[/tex]

Therefore, your simplified answer is  [tex]\frac{1}{x+8}[/tex] !

Here's the whole process:

[tex]\frac{x-5}{x^{2} +3x-40} \\\\(x+?)(x-?)\\\\40:\\1, 40\\2, 20\\4, 10\\5, 8\\\\8-5=3 \\(8x-5x=3x)\\\\(x+8)(x-5)\\\\\frac{x-5}{(x+8)(x-5)}=\frac{1}{x+8} \\\\\frac{1}{x+8}[/tex]

To check your answer, confirm your expressions using the box method attached.

I hope this helps! If you have any more questions or concerns about the answer or the process, let me know!

Can I try answering questions that are on your profiles
Please I need to earn points and brainliest

Answers

YES PLS HELP WITH MY MOST RECENT

Answer:

Ok

Step-by-step explanation:

Go for it

According to the U.S. Bureau of the Census in its Current Population Reports (Series P60) the average
poverty threshold was $8241 for a three-person household in 1993. For a group of 81 three-person households
the standard deviation was $972. Find a 99% confidence interval for the average poverty threshold for a three-
person household.

Answers

Answer:

lkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk

Step-by-step explanation:

CAN YOU HELP ME thank you 10pts

Answers

9514 1404 393

Answer:

  m∠CAB = 62°

  m∠CBG = 114°

Step-by-step explanation:

Given:

  the above figure

Find:

  What are the measures of angles CAB and CBG

Solution:

The total angle at C is 32°+52° = 84°. We know that "remote interior" angles ECB and EBE have a sum that matches angle CEF.

So, angle CBE = 150° -84° = 66°

Angle CBG is the supplement of this, so is ...

  m∠CBG = 180° -66° = 114°

That angle is the total of "remote interior" angles BCA and CAB. So angle CAB is ...

  m∠CAB = 114° -52° = 62°

The perpendicular bisectors of AABC intersect at point
G. Find the length of BG.
B

Answers

Answer:

[tex]\overline{GB}[/tex] = 9

Step-by-step explanation:

The given parameters are;

The point of intersection of the perpendicular bisectors of the sides [tex]\overline{BC}[/tex], [tex]\overline{BA}[/tex], and [tex]\overline{CA}[/tex] intersect (meet) at point G

Let D represent the point of intersection of the perpendicular bisector from G to [tex]\overline{BC}[/tex], we have for ΔBGD and ΔCGD;

[tex]\overline{GD}[/tex] ≅ [tex]\overline{GD}[/tex] by reflexive property

∠GDB = ∠GDC = 90° given that [tex]\overline{GD}[/tex] is the perpendicular bisector of [tex]\overline{BC}[/tex]

Similarly, [tex]\overline{DB}[/tex] ≅ [tex]\overline{DC}[/tex], also given that  [tex]\overline{GD}[/tex] is the perpendicular bisector of [tex]\overline{BC}[/tex]

Therefore;

ΔBGD ≅ ΔCGD by Side-Angle-Side (SAS) rule of congruency

[tex]\overline{GB}[/tex] ≅ [tex]\overline{GC}[/tex]   by Congruent Parts of Congruent Triangles are Congruent, (CPCTC)

[tex]\overline{GB}[/tex] = [tex]\overline{GC}[/tex] = 9 by definition of congruency

∴ [tex]\overline{GB}[/tex] = 9.

2 1/3 ×4 1/5
WHO EVER IS CORRECT I WILL GIVE BRAINIEST

Answers

Answer:

So, solving the equation [tex]2 \frac{1}{3} \times 4\frac{1}{5}[/tex] we get [tex]9\frac{4}{5}[/tex]

Step-by-step explanation:

We need to solve the given equation: [tex]2 \frac{1}{3} \times 4\frac{1}{5}[/tex]

First converting mixed fractions into improper fractions

[tex]\frac{7}{3} \times \frac{21}{5}[/tex]

Since 21 is divisible by 3 so, simplifying and multiplying

[tex]=7 \times \frac{7}{5} \\=\frac{49}{5} \\=9\frac{4}{5}[/tex]

So, solving the equation [tex]2 \frac{1}{3} \times 4\frac{1}{5}[/tex] we get [tex]9\frac{4}{5}[/tex]

simplify!!
6x - 2+7x

Answers

Answer:

13x-2

Step-by-step explanation:

Answer:

13x - 2

Step-by-step explanation:

6x - 2 + 7x

13x - 2

State the independent variable and the dependent variable in the linear relationship. Then find the rate of change for the situation. The cost of dinner is $42 for three people and $98 for seven people

Answers

Answer:

144

Step-by-step explanation:

The independent variable in the linear relationship is the number of people.

The dependent variable in the linear relationship is the cost of the dinner.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Cost of dinner for 3 people = $42

Cost of dinner for 7 people = $98

The cost of dinner for one person = $14

Now,

The linear function for this relationship.

f(x) = 14x

Where x is the number of people and f(x) is the cost of the dinner.

Now,

The number of people is the independent variable.

The cost of dinner is the dependent variable.

Thus,

Independent variable = Number of people/

Dependent variable = Cost of the dinner.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

What is the APR on a loan with a monthly periodic rate of 1.75%

Answers

try using socratic that will help too

___________ is a share of ownership in a business or company.​

Answers

Shareholder :) sksjdndjdjdjdkd

Answer:

Shares

Step-by-step explanation:

PLS GIVE BRAINLIEST

how many solutions does 6x - 18 = 4(2x - 3) - (2x +6)

Answers

Answer:

x=0

Step-by-step explanation:

6x-18=4(2x-3)-(2x+6)

We move all terms to the left:

6x-18-(4(2x-3)-(2x+6))=0

We calculate terms in parentheses: -(4(2x-3)-(2x+6)), so:

4(2x-3)-(2x+6)

We multiply parentheses

8x-(2x+6)-12

We get rid of parentheses

8x-2x-6-12

We add all the numbers together, and all the variables

6x-18

Back to the equation:

-(6x-18)

We get rid of parentheses

6x-6x+18-18=0

We add all the numbers together, and all the variables

=0

x=0/1

x=0

   

   

BRAINLIEST TO FIRST RIGHT NO WORK
there are 59 balls of 4 different colors in a box. If 51 balls are taken then at least one ball of each color appears among the taken balls What is the minimum number of balls that must be taken so that three different colors appear among the taken balls

Answers

Answer:

Im pretty sure its 77

Step-by-step explanation:

Answer: its 32

Step-by-step explanation:

Please answer!!! Will mark brainiest!!

Answers

Answer:

I think it is D. 9/15 * 14/20

9514 1404 393

Answer:

  C.  3/10 * 2/5

Step-by-step explanation:

3 of the 10 horizontal stripes are colored orange, representing a fraction of 3/10.

2 of the 5 vertical stripes are colored purple, representing a fraction of 2/5.

The area of overlap is 6 of the 50 small boxes, so represents the product ...

  3/10 * 2/5 = 6/50

Solve

Which equation in point-slope form, is represented by this graph?




y

3
=
1
2
(
x

4
)
y−3=
2
1

(x−4)

y
=
2
x
+
4
y=2x+4

y

3
=
3
(
x

4
)
y−3=3(x−4)

y

3
=
1
2
(
x

7
)
y−3=
2
1

(x−7)

Answers

Answer:

y - 3 = (1/2)(x - 4)

Step-by-step explanation:

The graph is hard to read, but we can make assumptions about the x- and y-values shown.  The y-intercept appears to be (0, 1) and the blue dot appears to be (4, 3).  Let's try finding the equation of the line using this assumed data:

The point-slope equation is y - k = m(x - h), where (h, k) is a point on the line and m is the slope of the line.

We need the slope of the line.  Recall that m = rise/run.  Going from (0, 1) to (4, 3), x (the 'run') increases by 4 and y (the 'rise') increases by 2.  Thus, the slope is m = rise/run = 2/4, or 1/2.

Substituting the known values into the point-slope equation y - k = m(x - h), we get:

y - 3 = (1/2)(x - 4)

Help me solve this, plz!! WILL MARK BRAINLIEST!! Show how to solve, plz and thank you!!

Answers

Answer:

6<x<9

Step-by-step explanation:

from the graph above the non linear paths are the curves on the Cartesian plain

on the y-axis, you'll get to see the curve there for the the values for x and y intervals are at their maximum, which in range is 6<x<9

100 points
whats 9 times 3 plus 3 divided by 2

Answers

Answer:

hi

Step-by-step explanation:

28.5

Answer:

15

Step-by-step explanation:

I need help on this question

Answers

Answer:

5 square feet

Step-by-step explanation:

First, you need to convert the inches into feet

24: 2

30: 2.5

2*2.5= 5

So it is 5square feet

Motocross The path that a motocross dirt bike rider follows during a jump is given
by y = -0.4x² + 4x + 10 where x is the horizontal distance (in feet) from the edge
of the ramp and y is the height (in feet). What is the maximum height of the rider
during the jump?
20
18
16
14
12
Height (feet)
10
6
4
2
0 2 4 6 8 10 12
Horizantal distance feet)
My

Answers

Answer:4.4x+10

Step-by-step explanation:

Need explanation for how to find "E"(in the picture attached), and how to calculate "sin".​

Answers

Answer:

Step-by-step explanation:

E is just that Vertex/Angle.

[tex]sin[/tex] is a measure of an angle.

You should learn SOHCAHTOA

[tex]sin = opposite/hypotenuse\\cos(ine) = adjacent/hypotenuse\\tan(gent)=opposite/adjacent[/tex]

The opposite side is relative to the angle.

In this case, the opposite of E is 20

The hypotenuse is 29

so,

[tex]sin(E)= \frac{20}{29}[/tex]

in a school, the number of boys is 9 more than thrice a number of girls. if the total role of class is 60. what is the total role of girls ​.​

Answers

B = 3g + 9
G + b =60
G + 3g + g
5g = 60
G = 12

Find the inverse of the linear function.

anyone pls?

Answers

Answer:

A

Step-by-step explanation:

inverse means flipping the signs and the numbers of the function

Answer: x - 10/5 = y

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