21- to 24-year-olds in the us have the lowest percentage of drivers in fatal crashes with bac levels of .08% or higher.

The cost of the gas will be equal to £67.81 p.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that,

Initial gas reading = 8247

Final gas reading = 8631

The total consumed gas is given by,

Final gas reading - Initial gas reading  → 8631 - 8247 = 384

Since the cost of gas is 11p per unit we have, the total cost of the gas consumed is given by

Cost of consumed gas = Units of gas consumed × Unit cost of gas

= 384 × 11p = 4224 p

100 p ≡ £ 1

4224 p  = £42.24 p

The total cost of the gs is obtained by adding the fixed charge to the cost of gas consumed as follows,

£25.57 + £42.24 = £67.81 p

The cost of the gas = £67.81 p

The complete question is given below,

The gas meter readings at the beginning and end of a period were: 8247 = 8631 the cost of the gas is 11p for each unit. there is also a fixed charge of £25.57. calculate the cost of the gas. you must show your working

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Answer:

Infinitely many solutions

Step-by-step explanation:

Both sides are same, it means regardless the value of x the equation is correct. The equation has infinitely many solutions

Answer:

In the interval (-∞, -5)

Step-by-step explanation:

Average rate of change of any graph is represented by the slope of the function in the given interval.

Rate of change =

= change in the y-coordinates

= change in the x-coordinates

If  = 0, then the rate of change will be zero in that interval

From the graph attached,

From x = -∞ to x = -5, we find a flat line, showing

Therefore, average rate of change of h(x) in the interval (-∞, -5) is zero

In the real world, circularity is used for various applications, including assembly, sealing surfaces, rotating clearance, and support.

When it comes to verifying circularity tolerance, the inspection method must be able to determine either the circle that inscribes or the circle that circumscribes the set of points.

Circularity plays a crucial role in applications such as assembly, where a shaft and a hole need to fit together with precision. It is also important for sealing surfaces found in engines, pumps, and valves to ensure effective sealing and prevent leakage. Additionally, circularity is essential in achieving proper rotating clearance between components like a shaft and housing. Lastly, circularity ensures equal load distribution along a line element, providing stability and support.

When verifying circularity tolerance, the inspection method should determine either the circle that inscribes the set of points or the circle that circumscribes the set of points. The circle that inscribes the points is the smallest circle that can contain all the points, while the circle that circumscribes the points is the largest circle that encloses all the points. The inspection method should accurately identify and measure the properties of these circles to assess circularity tolerance.

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Answer:

the slope of AN and XY is -2/3.

Given:

The expression is

\(12ab-6b\)

The equivalent expression of this expression is

\(\_\_\_?\_\_\_(2a-1)\)

To find:

The missing value.

Solution:

We have,

\(12ab-6b\)

The factor form of \(12ab\) is

\(12ab=2\times 2\times 3\times a\times b\)

The factor form 6b is

\(6b=2\times 3\times b\)

The common factors of \(12ab\) and \(6b\) are \(2,3,b\).

\(HCF(12ab,6b)=2\times 3\times b\)

\(HCF(12ab,6b)=6b\)

Taking out the highest common factors(HCF) from the given expression, we get

\(12ab-6b=6b(2a-1)\)

On comparing this with \(\_\_\_?\_\_\_(2a-1)\), we get the missing value which is equal to \(6b\).

Therefore, the correct option is A.

Answer:

A

Step-by-step explanation:

Answer:

60 runs

Step-by-step explanation:

Given that:

Score in first innings = 30 runs

Change in score during second inning = + 30

The score in the second inning will be :

Score in first inning + change in score during second inning

30 + (+30)

30 + 30

= 60 runs

Answer:

6:1

Step-by-step explanation:

The ratio 12/2 is equivalent to the ratio 6/1, or 12:2 = 6:1 .

Answer:

Step-by-step explanation:

|GI| = 2•16 = 32

|JI| = 28

|GJ|² + |JI|² = |GI|²              {Pitagoras}      

|GJ|² + 28² = 32²

|GJ|² + 784 = 1024

|GJ|² = 240

|GJ| = √240 = √[16•15] = 4√15

A = |GJ•|JI| = 28•4√15 = 112√15 = 433.7741... ≈ 434

Answer:

46°

Step-by-step explanation:

Given that :

Angle, A = 66°

Angle B = 68°

The sum of angles in a triangle is given by :

A + B + C = 180° (sum if angles una triangle)

66° + 68° + C = 180°

134° + C = 180°

C = 180° - 134°

C = 46°

Hence, angle C is 46°

Therefore the interquartile range of the Juvinile Whale is greater than that of the Adult Whale

Option D

A midwife delivers 10 babies, with 50% chance of delivering a boy and 50% of delivering a girl. The probability that 6 out of 10 babies will be boys is 20.5%

The problem can be solved using binomial distribution, that is the probability of 2 possible outcomes in a number of trials.

The formula is given by:

P(x) = ⁿCx . P^x . (1 - P)^(n-x)

x = total number of event A

n = number of trials

P = probability of A in a single trial

Parameters given in the problem:

n = 10

x = 6

P = 50% = 0.5

Plug these parameters into the formula:

P(6 boys) = ¹⁰C₆ . (0.5)⁶ .  (0.5)⁴

                = 0.205 = 20.5%

Hence, the probability that 6 out of 10 babies will be boys is 20.5%

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Answer:

1:  12x + 8                  

2:  21y  - 3

3:  15p + 20r

Step-by-step explanation:

The red harvester ant is closer to ground level.

The relative distance is defined as the product of the relative distance multiplied by the specified time. The relative distance unit is the same as the length unit.

Distance is typically defined as the amount of space between two locations that can be measured. In geography, a few different types of distance are used to explain not only the physical distance between two points but also the variations in distinct racial and ethnic groups, cultural traditions, political ideals, and social mores. A unique unit of measurement known as relative distance is used in geography to explain a variety of societal aspects.

As it has dug deeper (more negative) than the black garden ant. The number -20 39/50 is more negative than -20 7/9.

Therefore, The red harvester ant is closer to ground level.

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The ratio of the perimeters of the two triangles ≈  0.7

The given vertices are,

X(-1,-9),Y(5,3),Z(-1,6), W(1,-5), and V(1,5)

First, find the length of each side of the triangles ΔXYZ and ΔWYV.

For ΔXYZ:

Side XY = √((5-(-9))² + (3-(-9))²) = √(340) = 18.43

Side YZ = √((6-3)² + (-1-6)²) = √(130) = 11.40

Side XZ = √((6-(-9))² + (-1-(-9))²) = √(325) = 18.02

For ΔWYV:

Side WY = √((5-(-5))²+ (3-(-5))²) = √(164) = 12.80

Side YV = √((5-(-5))² + (5-3)²) = √(102) = 10.09

Side WV = √((1-5)² + (-5-5)²) = √(161) = 10.77

Now we can find the perimeters of each triangle:

Perimeter of ΔXYZ = 18.43 + 11.40 + 18.02 = 47.85

Perimeter of ΔWYV = 12.80 + 10.09 +  10.77 = 33.66

To find the ratio of the perimeters,

Simply divide the perimeter of ΔWYV by the perimeter of ΔXYZ:

The ratio of perimeters = 33.66/47.85 ≈ 0.7

Hence the required ratio is approximately 0.7.

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Answer: d ≥ 825-405

You're Welcome

Answer:

8 seconds if tyres took 1 second each tyre as 2.5/2.5 =1

The question did specify 2 1/2 secs to fll them all up which is 1 second each x 8 = 8 sec total.

Step-by-step explanation:

2  1/2 litres = number of tyres

2 1/2 seconds taken

= if each tyre took 2 1/2 seconds the quetsion should say clear but would be

2 1/2 tyres x 2 1/2 seconds = 6.26 seconds every 2 1/2 tyres

so 8 tyres x 2 1/2 seconds = 20 seconds every 8 tyres

If the 2 1/2 seconds applied to all 2 1/2

then we need to find a multiplier for 1 tyre

Here we divide

2 1/2 / 2  1/2 = 1

8 x 1 = 8 seconds.

IfIf this truss bridge shows two triangles ABC and DEF with ABC=DEF if mB=60 degrees, mE is 60 °.

ΔABC = ΔDEF

M∠E = M∠B

M∠B =60°

By equation 1 and 2

M∠B =60°

Since triangle ABC is congruent to triangle DEF, the corresponding angles are equal

so,

mB = mE

Hence, mE = 60 degrees

Therefore mE is 60 degree.

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Answer:

1

Step-by-step explanation:

Mode is 1 as 1 has repeated the most number of times

Answer:

The mode is 1.

Step-by-step explanation:

The mode is 1 because that number occurs the most number of times.

Hope I helped!

The figure rectangle is called a quadrilateral. The correct option is A.

A quadrilateral is a shape made up of four sides having the sum of the angles 360 degrees. A quadrilateral is a four-sided polygon with four edges and four corners that is used in geometry. The Latin words Quadri, a variation of four, and latus, meaning "side," are the source of the name.

A quadrilateral with four right angles is a rectangle. It can alternatively be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal. A square is a rectangle with four equally long sides.

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According to the given statement the maximum number of students that can attend the picnic is X - 1.

To find the greatest number of students that can attend the picnic after one hotdog is eaten by Ms. Wurst's dog, we need to consider the number of hotdogs available.

Let's assume there are X hotdogs initially.

If one hotdog is eaten, then the total number of hotdogs remaining is X - 1.

Each student requires one hotdog to attend the picnic.

Therefore, the maximum number of students that can attend the picnic is X - 1.
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If one hotdog is eaten by Ms. Wurst's dog just before the picnic, the greatest number of students that can attend is equal to the initial number of hotdogs minus one.

The number of students that can attend the picnic depends on the number of hotdogs available. If one hotdog is eaten by Ms. Wurst's dog just before the picnic, then there will be one less hotdog available for the students.

To find the greatest number of students that can attend, we need to consider the number of hotdogs left after one is eaten. Let's assume there were initially "x" hotdogs.

If one hotdog is eaten, the remaining number of hotdogs will be (x - 1). Each student can have one hotdog, so the maximum number of students that can attend the picnic is equal to the number of hotdogs remaining.

Therefore, the greatest number of students that can attend the picnic is (x - 1).

For example, if there were initially 10 hotdogs, and one is eaten, then the greatest number of students that can attend is 9.

In conclusion, if one hotdog is eaten by Ms. Wurst's dog just before the picnic, the greatest number of students that can attend is equal to the initial number of hotdogs minus one.

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Answer:

B. False

Step-by-step explanation:

5x² - 6x + 4 | 5 × 4 = 20

Can't factor it normally

           √b² - 4ac

 -b  ±   ---------------

                2a

           √(-6)² - 4(5)(4)

 -(-6)  ±   ---------------

                   2(5)

           √36 - 80

 6  ±   ---------------

                 10

    6 ± √-44

  ---------------

         10

    6 ± √-4 × 11

  ---------------

         10

    6 ± 2i√11

  ---------------

         10

The answer is actually

    3 ± i√11

  ---------------

         5

I hope this helps!

Answer:

  B.  False

Step-by-step explanation:

You want to know if (x -2) is a factor of 5x² -6x +4.

There are a couple of ways you can determine whether (x -2) is a factor. One is to look at the polynomial value at x=2:

  5x² -6x +4 = (5x -6)x +4 = (5(2) -6)(2) +4 = 4(2) +4 = 12

The value is not 0, so (x -2) is not a factor.

Another way to tell is to determine what the other factor would be.

The product of roots is the ratio c/a = 4/5 in the polynomial. If 2 is a root, then (4/5)/2 = 2/5 is the other root. That would mean the factorization of the polynomial is ...

  (5x -2)(x -2) = 5x² -12x +4 . . . . . . not the same polynomial

The polynomial 5x² -6x +4 does not have a factor (x -2).

The graph of the polynomial has no x-intercepts, so (x -2) cannot be a factor.

Answer: $8.50

Step-by-step explanation:

The expected gain (loss) is a weighted average of the probability of the different gains (losses) and the gains or losses.

Expected gain or loss for stock JKL:

= (Probability of losing $25 * -25) + ( Probability of gaining $5 * 5) + ( Probability of gaining $45 * 45)

= (15% * -25) + (65% * 5) + (20% * 45)

= -3.75 + 3.25 + 9

= $8.50

Answer:8.50$

Step-by-step explanation:

The number of oranges that are in the bag is  120.

The equation that represents the initial amount of bananas in the bag is: bananas / total number of fruits = 0.60

bananas = 0.60t  equation 1

The equation that represents the number of bananas in the bag after 135 was removed is:

(b - 135) / t = 0.15

b - 135 = 0.15t equation 2

Where :

Substitute for b in  equation 2 using  equation 1

0.6t - 135 = 0.15t

0.6t - 0.15t = 135

t = 135 / (0.6 - 0.15)

t = 300

The initial number of bananas : 0.6 x 300 = 180

Number of oranges = 300 - 180 = 120

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Answer:

Option C

Kindly award branliest

Step-by-step explanation:

Tn = n(n + 1)

T1 = 1(1 +1) = 1(2) = 2

T2 = 2(2+1) = 2(3) =6

T3 = 3(3 + 1) = 3(4) = 12

T4 = 4(4 + 1) = 4(5) = 20

... It obeys

Answer:

17

Step-by-step explanation:

Answer:

by helping some one fast

Answer:

\(\frac{1}{2} d-8=12\)

To determine if a function has a vertical asymptote, you need to consider its behavior as the input approaches certain values.

A vertical asymptote occurs when the function approaches positive or negative infinity as the input approaches a specific value. Here's how you can determine if a function has a vertical asymptote:

Check for restrictions in the domain: Look for values of the input variable where the function is undefined or has a division by zero. These can indicate potential vertical asymptotes.

Evaluate the limit as the input approaches the suspected values: Calculate the limit of the function as the input approaches the suspected values from both sides (approaching from the left and right). If the limit approaches positive or negative infinity, a vertical asymptote exists at that value.

For example, if a rational function has a denominator that becomes zero at a certain value, such as x = 2, evaluate the limits of the function as x approaches 2 from the left and right. If the limits are positive or negative infinity, then there is a vertical asymptote at x = 2.

In summary, to determine if a function has a vertical asymptote, check for restrictions in the domain and evaluate the limits as the input approaches suspected values. If the limits approach positive or negative infinity, there is a vertical asymptote at that value.

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