Simon drove through some roadworks where the speed limit was 50 mph. Two cameras recorded the time taken to travel 1200 m through the roadworks as 56 seconds . Was Simon speeding through the roadworks ?

Answers

Answer 1

Answer:

[tex]Speed = 21.43m/s[/tex]

Step-by-step explanation:

Given

[tex]Distance = 1200m[/tex] -- of the roadworks

[tex]Time\ Recorded = 56s[/tex]

Required

Determine the speed

In this case:

[tex]Speed = \frac{Distance\ of\ Roadword}{Time\ Captured}[/tex]

[tex]Speed = \frac{1200m}{56s}[/tex]

[tex]Speed = 21.43m/s[/tex] --- approximated


Related Questions

Chef bought 3 3/4 kilograms of apples 7 1/4 kilograms of pears and 10 1/8 kilograms of oranges. How many kilograms of fruit is a chef choose the best estimate


Answers

Answer: 21 1/8 kilogram

Step-by-step explanation:

From the question, we are informed that Chef bought 3 3/4 kilograms of apples 7 1/4 kilograms of pears and 10 1/8 kilograms of oranges. The total kilogram of fruits bought would be:

= 3 3/4 + 7 1/4 + 10 1/8

Note that the Lowest Common Multiple is 8.

= 3 6/8 + 7 2/8 + 10 1/8

= 20 9/8

= 21 1/8 kilogram

-2 - 3k - 2 = -2k + 8 - k

Answers

Step-by-step explanation:

I'm not sure but that's what I'm getting 3k=2 jn simplest form

You go out to dinner at the Olive Garden and the never ending pasta bowl gets you and your family a $62.75 total bill. What would be the amount of a 15% tip?

Answers listed:
$9.41
$10.75
$0.15
$15.00

Answers

Answer:

9.41

Step-by-step explanation:

If AB is 12, what is the length of A' B'?

Answers

Answer:

8 units

Step-by-step explanation:

As we can see, the two triangles are similar

If two triangles are similar, then the ratio of their sides are equal

thus, mathematically;

12/6 = x/4

2 = x/4

x = 2 * 4

x = 8

-4.32193257293 simplified?????

Answers

Answer:

-4.3

Step-by-step explanation:

It is -4.3 because the 2 is less than 5

:)). Have a blessed day

need help asap pls be right no trolls

Answers

I think it’s C but i’m not sure

3/6 is simplest form 12/24 1/2 1/3 Choose the pair of equivalent fractions. 1/2=2/4 3/6=15/24 1/3=3/6 Choose the pair of equivalent fractions. 6/12= 1/4 3/5=6/15 3/12=1/4 Choose the pair of equivalent fractions. 1/2= 12/18 5/3=1/3 1/2=5/10 Which is the correct mixed number for this improper fraction: 36/10 3 6/10 3 3/5 3 1/3 Which one is the correct mixed number for this improper fraction: 10/3 1 7/3 2 4/3 3 1/3 Which improper fraction matches this mixed number: 2 5/8 21/8 15/8 18/8 Which improper fraction matches this mixed number: 4 1/2 7/2 9/2 6/2

Answers

Answer:

1/2 is the simplest form of 3/6

1/2 and 2/4 are equivalent fractions

3/12 and 1/4 are equivalent fractions

1/2 and 5/10 are equivalent fractions

i am not completely sure about the improper fractions. sorry

Step-by-step explanation:

Answer:

3 5/6

Step-by-step explanation:

i took the test hope you pass

Which expressions
are
equivalent to 6 · 6 · 6 · 6 · 6?
Choose 2 answers:

Answers

Answer:

B and C

Step-by-step explanation:

My original answer got deleted because it was incomplete, so...

6 * 6 * 6 * 6 * 6 = 7776

A.) (6²)³ = 46656

B.) 2⁵ * 3⁵ = 7776

C.) 6⁶/6¹ = 7776

D.) 3² * 2³ = 72

Expression [tex]2^5.3^5[/tex] and [tex]\frac{6^6}{6^1}[/tex] are equivalent to 6.6.6.6.6. Option B and C are correct.

Expression Equivalent to 6.6.6.6.6. to be determine.

What is evaluation?

It is defined as solutions to mathematical problems.

Here, 6.6.6.6.6 = 6^5


For option a)  
[tex](6^2)3 = 6^6 \neq 6^5[/tex]

For option b)
   [tex]2^5.3^5=(2.3)^5=6^5[/tex]

For option c)
    [tex]\frac{6^6}{6^1}=6^5[/tex]
For option d)
    [tex]3^2.2^3 \neq 6^5\\[/tex]

Thus, expression [tex]2^5.3^5[/tex] and [tex]\frac{6^6}{6^1}[/tex] are equivalent to 6.6.6.6.6. Option B and C are correct.

Learn more about evaluation here:
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I needddd helpppppppp

Answers

Answer:

B the second one -1/3

Step-by-step explanation:

hopefully this helps

-4n + 1/3m + 4n - 4/5m​

Answers

Answer:

[tex]-4n+\frac{1}{3m}+4n-\frac{4}{5m}=-\frac{7}{15m}[/tex]        

Step-by-step explanation:

Given the expression

[tex]-4n\:+\:\frac{1}{3m}\:+\:4n\:-\frac{4}{5m}[/tex]

Group like terms

[tex]-4n\:+\:\frac{1}{3m}\:+\:4n\:-\frac{4}{5m}=-4n+4n+\frac{1}{3m}-\frac{4}{5m}[/tex]

Adding similar elements: -4n + 4n = 0

                                      [tex]=\frac{1}{3m}-\frac{4}{5m}[/tex]          

L.C.M of 3m and 5n will be: 15m

so adjusting fractions based on the LCM

                                       [tex]=\frac{5}{15m}-\frac{12}{15m}[/tex]      

Since, the denominators are equal, combine the fractions:  [tex]\frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}[/tex]

                                       [tex]=\frac{5-12}{15m}[/tex]

                                       [tex]=\frac{-7}{15m}[/tex]

                                       [tex]=-\frac{7}{15m}[/tex]

Therefore, we conclude that:

[tex]-4n+\frac{1}{3m}+4n-\frac{4}{5m}=-\frac{7}{15m}[/tex]                    

How are 4 and 5 related?​

Answers

Answer:

they are both natural numbers

X + (x + 1) = 132
x(x + 1) = 132
2x = 132
x2 = 132

Answers

Answer:`211

123123

Step-by-step explanation:

Bobby buys 6 candy bars for $1.74. At the same price, how many more candy bars can he buy for $20.88?

Answers

Answer:

12 candy bars.

Step-by-step explanation:

Answer:

72 more candy bars

Step-by-step explanation:

Divide 20.88 by 1.74 to see how many times 1.74 can go into 20.88. You get 12. If 6 candy bars in total cost 1.74, you multiply 12 by 6 because you have 12 groups of 1.74. 12 times 6 is 72. So Bobby can buy 72 more candy bars.

- 1 5 x + 4 ≤ 39 Which values for x make this inequality TRUE?

Answers

Answer:

x ≥ 7/3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Inequality

-15x + 4 ≤ 39

Step 2: Solve for x

Subtract 4 on both sides:                     -15x ≤ 35Divide -15 on both sides:                      x ≥ 7/3

Here we see that any value x greater than or equal to 7/3 would work as a solution to the inequality.

What is it? Plz help

Answers

10 answer is 10 ......

the answer is 120.

explanation:

The plan for a city park shows that the park is a quadrilateral with straight paths along the diagonals. For what values of the variables is the park a parallelogram? In this case, what are the lengths of the paths?

Answers

Answer:

x = 10, y = 15RT = 210 m, US = 396 m

Step-by-step explanation:

Diagonals of parallelogram bisect each other;

UV = VS and RV = VT

Substitute values:

11y + 33 = 14y - 12 ⇒ 14y - 11y = 33+12 ⇒ 3y = 45 ⇒ y = 15

US = 2(11*15+33) = 396 m

3x + 5y = 6x + 3y ⇒ 6x - 3x = 5y - 3y ⇒ 3x = 2y ⇒ 3x = 30 ⇒ x = 10

RT = 2(3*10 + 5*15) = 210 m

One number is 3 more than 4 times the second number. Their sum is 43. Find the numbers. Answer : The numbers are , .

Answers

Step-by-step explanation:

Let x be the 2nd number.

Then the 1st number is 4x + 3.

We have 4x + 3 + x = 43, 5x = 40, x = 8.

Hence the numbers are 35 and 8.


In triangle ACE, G is the centroid and BE = 18. Find BG and GE.

a BG=12, GE=6
b BG=4 1/2, GE=13 1/2
c BG=6, GE=12
d BG=9 GE=9

Answers

Answer: Choice C)  BG = 6, GE = 12

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

Explanation:

The centroid G cuts the median segment BE such that BG is 1/3 of BE, and GE is 2/3 of BE.

So,

BG = (1/3)*BE = (1/3)*18 = 6

GE = (2/3)*BE = (2/3)*18 = 12

-------------

Put another way: GE is twice as long as BG

Let x = BG. This means 2x = GE

Leading to

BG+GE = BE

x+2x = 18

3x = 18

x = 18/3

x = 6 = BG

2x = 2*6 = 12 = GE

The cost for a pack of 7 padlocks is $23.80 .
Find the unit price in dollars per padlock.
If necessary, round your answer to the nearest cent.

Answers

23.80/7 = 3.40
Answer: $3.40 per padlock

a-2=7 solve this question please​

Answers

Answer:

a = 9

Step-by-step explanation:

a - 2 = 7

a = 9

what is the absolute value of negative 2?

Answers

Answer:

2

Step-by-step explanation:

absolute value is the distance from zero on a number line

Answer:

2 lol

Step-by-step explanation:

the absolute value of anything negative is always the same thing but positive

unless given a reason to not be

AM I WRONG JIM? Let me know

Answers

I don’t think you’re wrong good job

Problem 1

Domain:   [-3, 5)

Range:    (-4, 3]

The domain is the set of allowed x inputs, while the range is the set of allowed y outputs. For problems like this, we just list the smallest and largest values possible. In this question, the left most point happens when x = -3 and the right most point is when x = 5, but we don't include this value due to the open hole. So that's why we have a curved parenthesis as part of the domain here. The range is a similar story, but we look at the y values instead.

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

Problem 2

Domain:   [-2, 4)

Range:    [-2, 5)

We aren't including any of the endpoints due to the open holes. Be sure not to mix this notation up with ordered pair notation.

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

Problem 3

Domain:  [1, 4]

Range:   [-4, -1]

We include each endpoint because of the filled in circles, so that's why we use square brackets here.

Greatest number of the mortified 39,o83

Answers

Answer:

The answer is "83".

Step-by-step explanation:

Given numbers:

39

83

The greatest number is 83.

mid point of A(-7,1) and B (3,-5)

Answers

Answer:

(-2,-2)

Step-by-step explanation:

use midpoint formula:  (average of two x-values, average of two y-values)

(-7 + 3)/2 = -4/2 = -2

(1 + -5)/2 = -4/2 = -2

Answer:

[tex]let \: m \: be \: the \: mid \: point \\ m = (( \frac{( {x}^{1} + {x}^{o})}{2}) \: \: \: ( \frac{ ({y}^{1} + {y}^{o}) }{2} )) \\ m = (( \frac{( - 7 + 3)}{2} ) \: \: \: ( \frac{(1 + - 5)}{2} ) \\ m = ( \frac{ - 4}{2} \: \: \: \frac{ - 4}{2} ) \\ m = ( - 2 \: \: \: - 2) \\ mid \: point \: = \: \binom{ - 2}{ - 2} [/tex]

Which of the following is equivalent to the expression 5x + 15
a. 5( x + 3)
b. x(5 + 15)
c. 5(x + 2)
d. x(1 + 5x)

Answers

Answer:

a

Step-by-step explanation:

simplify 5(x+3) = 5x+15

Factor 5 out of 5x+15.

A. 5 (x + 3)

What is the slope of y=-4x-3y=−4x−3y, equals, minus, 4, x, minus, 3?

Answers

Answer:

-4

Step-by-step explanation:

Given:

[tex] y = -4x - 3 [/tex]

Required:

Slope of the line

SOLUTION:

The equation of the line, [tex] y = -4x - 3 [/tex], is given in the slope-intercept form, which is [tex] y = mx + b [/tex].

Where, m is the slope, and b is the y-intercept.

Therefore, the slope (m) of the line, [tex] y = -4x - 3 [/tex] is -4.

m = -4

Which are true?
(ANSWER QUICK)
1.All states have ways in which they are able to collect revenue. Some states collect a significant amount of revenue through sales tax, while others take in large
portions of revenue through other kinds of taxes, such as property taxes and state income taxes.


2. You will pay the same tax rate from state to state and for the same classes/types of goods.


3. 5 states do not levy a statewide sales tax: New Hampshire, Oregon, Montana, Alaska, and Delaware.


4. States, such as Pennsylvania, can impose a sales tax on goods and that tax rate can increase if local governments within the state also levarge a sales tax to
collect revenue.

Answers

Answers:

True. All states have a different approach to collecting revenue, which is money they spend on government programs. Most states have income taxes, but a state like Florida doesn't have income taxes. Instead they rely on sales taxes and property taxes. The general rule is that if one tax is missing, then chances are the other tax rates are higher to make up the lack of funds (that the missing taxes would provide).False. States vary in sales tax rates. For instance, Alabama's sales tax is 4% while Arkansas is 6.5%True. You can do an online search of "states without sales tax" to find sources to help confirm this. Keep in mind that while the state overall does not impose sales tax, this does not mean the city and/or county governments won't impose sales tax. Unfortunately it's hard to escape taxes and sales tax is just one of those inevitable things.True. As mentioned in problem 3, local governments (city and/or county) tend to impose taxes of their own on top of state sales taxes. Sales taxes fund state programs while local taxes fund local programs. Though some local government programs will use state or federal dollars.

Yo can somebody please help me with this?

Answers

I think the answer is X = 110°

These marbles are placed in a bag and two of them are randomly drawn what is the probability of drawing two yellow marbles if the first one is not placed back into the bag before the second draw

Answers

Answer:

It is 1/45

Step-by-step explanation:

The probability of drawing two yellow marbles=4/45.

It is given that Total number of marbles=10 ,number of yellow marble is 2, number of pink marble is 3 and number of blue marble is 5.

To find the probability of drawing two yellow marbles if the first one is not placed back into the bag before the second draw.

What is probability?

The extent to which an event is likely to occur, measured by the ratio of the favorable cases to the whole number of cases possible.

The probability of drawing first yellow marble=2/10=1/5

When first yellow marble is not placed back into the bag before the second draw.

Then, number of remaining  yellow marble=1

Total number of marbles=9

The probability of drawing second yellow marble =4/9

Now, the probability of drawing two yellow marbles =1/5*4/9=4/45

Hence, the probability of drawing two yellow marbles=4/45

Learn more about probability here:

https://brainly.com/question/20387305

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I need the lateral and total surface area

Answers

Answer:

The lateral surface of an object is all of the sides of the object, excluding its base and top (when they exist). The lateral surface area is the area of the lateral surface. This is to be distinguished from the total surface area, which is the lateral surface area together with the areas of the base and top.

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