1. A temperature drop of 10 degrees Fahrenheit

Integer:
Zero represents:

Answer:

Use maths papa

Step-by-step explanation:

Answer:

24.1%

Step-by-step explanation:

The selling price includes a VAT (which is a form of tax) and a discount.

A Vat is a form of tax which increases the price of a good and a discount reduces the price.

The vat increases price by 10% and the tax reduces the price by 5%.

So the original selling price before all these adjustments would be

20,900 x ( 1 -0.1  + 0.05)

20,900 x 0.95 = 19855

Mark up = (selling price - cost price) / cost price

(19855 - 16,000) / 16,000 = 0.241 = 24.1%

The market price of the article is above the cost price of the article by 24.1%.

The given parameters for the calculation of the market price:

The cost price of the article = 16,000

Selling Price = 20,900

VAT = 10%

Discount = 5%

The original selling price before the mentioned adjustment:

\(\begin{aligned}\text{Original Selling Price} = \text{Selling Price} \times (1 - rate)\end{aligned}\)

\(\begin{aligned}\text{Original Selling Price} =\$ 20,900 \times ( 1 -0.1 + 0.05)\end{aligned}\)

\(\begin{aligned}\text{Original Selling Price} &= \$20,900 \times 0.95 \\&= \$19,855\end{aligned}\)

\(\begin{aligned}\text{Marked Price} = \dfrac{\text{Selling Price} - \text{Cost Price}}{\text{Cost Price}} \end{aligned}\)

\(\begin{aligned}\text{Marked Price}&=\dfrac{ (\$19855 - \$16,000)}{ \$16,000} \\&= 0.241 \end{aligned}\)

To convert it to the percentage the number is multiplied by 100.

Therefore the market price is more than the cost price by 24.1%

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The solutions for the quadratic graph are (d) (-3, 0) and (1, 0)

From the question, we have the following parameters that can be used in our computation:

The quadratic graph

The solutions for the quadratic graph are the points where the graph intersect the x-axis

These points are called the x-intercepts or the roots

Using the above as a guide, we have the following:

The point of intersection with the x-axis are (-3, 0) and (1, 0)

Hence, the solutions for the quadratic graph are (d) (-3, 0) and (1, 0)

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The ratio of Tammy's age to his father's age when his father is 48 will be 1:2.

Since we are informed that when Tammy was 4, the ratio of Tammy’s age to her father’s age was 1:7. This means that his father's age when he was 4 years will be:

= 4 × 7 = 28 years.

Now since his father is 48 years, this means it was 20 years after. Therefore, Tammy's age will be:

= 4 + 20 = 24 years.

Therefore, the ratio of their ages will be:

= 24 / 48 = 1/2 = 1:2.

The ratio of Tammy's age to his father's age when his father is 48 will be 1:2.

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Answer:

A) A is an invertible matrix ( TRUE )

B) A is a row equivalent to the n x n identity matrix ( n = 3 ) ( TRUE )

C ) The equation Ax = 0 has only the trivial solution ( TRUE )

D ) The columns of A form a linearly independent set ( TRUE )

Step-by-step explanation:

Assuming a matrix A

\(\left[\begin{array}{ccc}1&2&1\\-1&0&3\\4&1&5\end{array}\right]\)

det A = 1 [ 0 -3 ] +  2 [12 + 5 ]  + 1[-1]

        = -3 + 34 -1 = 30 ≠ 0

THEREFORE  det A = 30 ≠ 0

Attached is the detailed solution of the given statements above

Answer:

B (1, -3)

Step-by-step explanation:

Step 1:  Use the midpoint formula to find the coordinates of the endpoint:

Normally, we find the midpoint of a segment using the midpoint formula, which is given by:

M = (x1 + x2) / 2, (y1 + y2) / 2, where

Since we're solving for the coordinates of an endpoint, we can allow (-5, 7) to be our (x1, y1) point and plug in (-2, 2) for M to find (x2, y2), the coordinates of the endpoint B:

x-coordinate of B:

x-coordinate of midpoint = (x1 + x2) / 2

(-2 = (-5 + x2) / 2) * 2

(-4 = -5 + x2) + 5

1 = x2

Thus, the x-coordinate of the endpoint B is 1.

y-coordinate of B:

y-coordinate of midpoint = (y1 + y2) / 2

(2 = (7 + x2) / 2) * 2

(4 = 7 + x2) -7

-3 = y2

Thus, the y-coordinate of the endpoint B is -3.

Thus, the coordinates of the endpoint B are (1, -3).

Answer:

0.0078

Step-by-step explanation:

What is 0.00784 rounded to 2 significant figures?

Because 0's to the right of the decimal are not significant your first two significant figures are 7 and 8. So rounded to two significant figures:

0.0078

The number 0.00784 rounded to 2 significant figures is 0.0078.

Significant figures of a given number are the numbers or digits which are significant and it conveys the accurate meaning of the digit.

Given decimal number is 0.00784.

We have to round the number to 2 significant figures.

For that, look at the first non zero digit from the left.

It is the number 7.

Since the number must be in 2 significant figures, look at the next number, it is 8.

Since the number next to 8 is 4, which is less than 5, leave 8 as such.

So the number rounded is 0.0078.

Hence the required number rounded to is 0.0078.

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Answer:  The answer is:  " x = 2.833333333333...." .

___________________________

             or:  write as:  " 2 \(\frac{5}{6}\) " .  

___________________________

Step-by-step explanation:

___________________________

Set up a ratio:

Note:  Segment FH =  (x + 35)

         Segment JL = 20 ;

         Segment FH ~ Segment JL ;

___________________________

Note:  Segment GH = (x - 4) ;

         Segment  KL  =  5 ;

         Segment GH ~ Segment KL .

___________________________

So, ( x + 3.5) : 20 :: (x-4) : 5 ;

Write this ratio in fraction format:

___________________________

→  \(\frac{(x+3.5) }{20 } = \frac{(x-4) }{5}\)  ;

Now; "cross-factor multiply" :

→  \(\frac{a}{b} = \frac{c}{d }\)  ;  → \(ad = bc\) ; { \({ a\neq0 ; b\neq0 ; c\neq0 ; d\neq0\) .}.

___________________________

So:

  5(x + 3.5)  =  20(x - 4) ;  

___________________________

→ To simplify, start by divide each side of the equation by "5" ;

___________________________

  →   {5(x + 3.5) } / 5  =  { 20(x - 4)  } / 5 ;

to get:

      →  (x + 3.5)  =  4(x - 4) ;

___________________________

Now, on the right-hand side of the equation;

  let us expand the expression;

___________________________

We have the expression:  " 4(x - 4) " ;

 To expand:

Note the "distributive property of multiplication:

     →   a(b + c)  = ab + ac ;

Likewise:

     →   4(x - 4)  = 4x  - 16 ;

___________________________

Now, we can rewrite our equation:

___________________________

     →   " x + 3.5  =  4x - 15 "  ;

Now, we can subtract "x" from each side of the question;

     & add "15" to each side of the equation; as folllows:

___________________________

     →     x + 3.5  =  4x - 15 ;

          - x + 15   =  - x  +15

___________________________

to get:        8.5  =  3x ;  

                   ↔  3x  = 8.5 ;

Now, divide each side of the equation by "3" ;

       to isolate "x" on one side of the equation;

       & to solve for "x" ;  as follows:

                     →  3x / 3 = 8.5 / 3 ;

             to get:   x  = 8.5 /3  

                              = 2.83333333333 ;  

                         or; write as:  " 2 \(\frac{5}{6}\) ."

___________________________

Hope this is helpful to you!  Best wishes!

___________________________

Answer:

A) 427 × 3 = 400 × 3 + 20 × 3 + 7 × 3

Step-by-step explanation:

\(427*3=(400+20+7)*3=(400*3)+(20*3)+(7*3)\)

Therefore, the first option is correct

Answer:

18 , 34and 50 are multiples of 2

Step-by-step explanation:

2×9=18

17×2=34

25×2=50

Answer:

A,C,E

Step-by-step explanation:

A,9×2=18

C,17×2=34

E,25×2=50

The sale price of coat is $180 and the sale price of boot is $284 when 20% off a coat and a pair of boots are now  on sale.

Given that,

20% off a coat and a pair of boots are now  on sale. The coat normally sells for $225. The boots cost $130 on the open market.

We have to find the coat's sale price and what is the cost of the boots on sale.
We know that,

The formula for the sales price is S = P - PD

Where, S is sales price, P is the original price and D is the discount percent.

P = 225 and D = 20%

S = 225 - 225 × 20%

S = 225 - 45

S = $180 is the sale price of coat.

Now,

Total regular price = 225 + 130 = 355

S = 355 - 355 × 20%

S = $284 is the sale price of boots.

Therefore, The sale price of coat is $180 and the sale price of boot is $284.

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If the two graphs are symmetric with respect to the line y = x (mirror images over y = x ), then they are inverse functions.

You assemble the functions (that is, insert x into one function, plug that function into the suggested inverse function, then simplify) and check that you end up with simply "x" to establish (or refute) that two functions are the inverses of one another.

With this in mind, you have a general idea of what an inverse is and how to prove it and solve it on a graph by checking for its symmetricity.

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Answer: The best estimate of the number of miles that Alexia run is 4 miles.

Step-by-step explanation:

Since we have given that

Length of lap is given by

Number of laps around her neighborhood = 3

So, Total number of miles that Alexia ran is given by

Hence, the best estimate of the number of miles that Alexia run is 4 miles

Answer:

Possible Outcomes

2 7

2 9

4 7

4 9

6 7

6 9

Step-by-step explanation:

for starters,we know that the dice has 6 numbers, but since we want it to only show even numbers, we can eliminate 1,3,5 from the dice.

For the spinner, we know that there are four numbers on it, but we only want it to show odd numbers, so eliminate all the even numbers on the spinner. Therefore we're left with 7 and 9.

Since we want every possible outcome, we link each available number on the dice to a number available on the spinner, therefore we can group them into subsets.

eg: We start with 2 on the dice, then we will pair it with 7. So, (2,7)

    Then, we pair 2 with the final and only number left on the spinner, which is 9. Hence, (2,9)

Do this step so on so forth, until every even number on the dice has two pairs with the spinner.

You'll get: (2,7)   (2,9)  (4,7)  (4,9)  (6,7)  (6,9)

The operation that has been performed on v to result in the vector that is shown is multiplication by -1.

The vector that is shown is (-2, -1). This can be obtained from vector v = (2, 1) by multiplying it by -1. Multiplying a vector by a negative number reverses its direction.

Multiplication of a vector by a number is performed component-wise. This means that each component of the vector is multiplied by the number. In the case of (-1) * (2, 1), each component is multiplied by -1. This results in the vector (-2, -1).

Here is the mathematical equation:

(-1) * (2, 1) = (-2, -1)

Therefore, the operation that has been performed on v to result in the vector that is shown is multiplication by -1.

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Answer:

I would say constant, $19/sweater. The table doesn't go up by 2s or 3s.

Step-by-step explanation:

The cost of each sandwich, given the number that was sold and the profit made was  $15.

Let S be the price of a sandwich and A be the price of a salad.

From the lunch sale, we know:

14 S + 14 A = $280

From the evening sale, we know:

42S + 154 A = $ 1400

Simplify the first equation by dividing through by 14:

S + A = $20

Solving this equation for S gives:

S = $20 - A

Substitute this equation into the second equation:

42 ( $20 - A ) + 154 A = $1400

$ 840 - 42 A + 154 A = $1400

112A = $560

A = $5

Substitute A = $5 into the first equation:

S + $5 = $20

S = $15

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Answer:

Step-by-step explanation:

2. 27

3. 18

Answer:

s o w h a t y o u n e e d t o d o i s

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

4x + 9x + 8x = 147

21x = 147

x = 147/21

x = 7

========

The shortest side will be 4x

4*7 = 28

Answer:

25 Regular tickets and 7 Senior Tickets

Step-by-step explanation:

Step-by-step explanation:

The circumference of a WHOLE circle = pi * d

   you have 1/2 of this  and d = 10 ft

     so   1/2 pi * 10      PLUS the two straight sides + 8+6

       1/2 pi * 10   + 8 + 6

         5 pi + 8 + 6

        5 * 3.14   + 14 = 29.7 ft

Answer:

Marianne made an inference that is true based on the data. More than half of the people surveyed in each sample chose oranges as their favorite fruit. Since most people in each sample chose oranges, it is likely that oranges are the favorite fruit of the entire population.

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Answer:

050°

Step-by-step explanation:

The bearing of D from C is the angle between the north pole and the line joining C and D when moving in a clockwise direction.

From the diagram, the angle is 050°

The percent of error concerning Alton's estimated attendance and actual attendance at the band concert is 30%.

The percent of error is a measure showing how big an error is between the estimate and actual results.

The smaller the percent of error the closer the estimate is to the actual observations, and vice versa.

Actual Observed Value = 200

Expected Value = 260

Percentage of error = (Expected Value - Observed Value) ÷ Actual Value

= (260 - 200)/200

= 60/200

= 0.3

= 30%

Thus, we can conclude that Alton made a 30% error in his estimate of attendance at the band concert.

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The value of P for the given angles of the quadrilaterals is 6.

One of the earliest areas of mathematics is geometry, along with arithmetic. It is concerned with spatial characteristics like the separation, shape, size, and relative placement of objects.

Given that the two opposite angles are 4P + 12 and 36 respectively.

The value of P for the two opposite angles will be calculated as:-

4P + 12 = 36

4P = 36 - 12

4P = 24

P = 24 / 4

P = 6

Hence, the value of P for the given angles of the quadrilaterals is 6.

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Answer:

52 times

Step-by-step explanation:

Given

\(n = 78\) -- Number of times

Required

Determine the expected times to get > 2.

In a fair dice, the outcome > 2 are:

\(>2 = \{3,4,5,6\}\)

The probability of the above is:

\(p = \frac{4}{6}\)

\(p = \frac{2}{3}\)

The number of times is calculated using:

\(E(x) = n * p\)

\(E(x) = 78* \frac{2}{3}\)

\(E(x) = \frac{78* 2}{3}\)

\(E(x) = \frac{156}{3}\)

\(E(x) = 52\)

Answer:

Truth is being honest and not lie and get them upset.

Step-by-step explanation:

Answer: -2 and 26

Step-by-step explanation:

-2 * 26 = -52

-2 + 26 = 24

Answer:

-2 and 26

Step-by-step explanation: