The highest temperature recorded in the town of Westgate this summer was 93°F. Last winter, the lowest temperature recorded was -13°F. Find the difference between these two extreme temperatures.

Answer:

x=22

Step-by-step explanation:

took test on edge 2020

Answer:

D. 22

Hope this Helps!

Answer:

159???????

Step-by-step explanation:

Answer:

(x+4)^2  -25

Step-by-step explanation:

x²+8x-9 in the form  (x+k)² +h.

We need to complete the square.

x^2 +8x   -9

Take the coefficient of x.

8

Divide by 2.

8/2 =4

Square it.

4^2 = 16

Add this then subtract i.

x^2 +8x+16    -16   -9

The x^2 +8x+16 becomes  (x+4) ^2  and we can simplify the remaining terms.

(x+4)^2  -25

Answer:

-1/3

Step-by-step explanation:

-4 - -5 = 1

3 - 6 = -3

1/-3 = -1/3

Answer: -1/3

Step-by-step explanation: slope is the difference in the y values over the difference of the x values

Answer:

  (a)  y = x/8

  (b)  y = 7/8

Step-by-step explanation:

You want a direct variation equation that relates x and y, given y = 2 when x = 16.

The equation for direct variation is usually written in the form ...

  y = kx

where k is the constant of proportionality.

The value of k can be found from ...

  k = y/x . . . . divide by x

For the given values, k is ...

  k = 2/16 = 1/8

The direct variation equation is ...

  y = (1/8)x

The value of y for x=7 is found by substituting 7 for x in the equation above:

  y = (1/8)·7

  y = 7/8

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9.  The stamp duty payable on a property with a purchase price of K45,000 is K1,350.

10. The stamp duty payable on a property with a purchase price of K150,000 is K7,500.

To calculate the stamp duty payable on properties with a purchase price of K45,000 and K150,000, we need to apply the corresponding rates of stamp duty based on the given information.

Given:

Value of Property:

Up to K35,000: Stamp Duty Rate - 2%

K35,000 to K70,000: Stamp Duty Rate - 3%

K70,000 to K140,000: Stamp Duty Rate - 4%

Over K140,000: Stamp Duty Rate - 5%

9. Calculate the stamp duty payable on properties whose purchase price is K45,000:

Since the purchase price of K45,000 falls within the range of K35,000 to K70,000, the stamp duty rate applicable is 3%.

Stamp Duty Payable = Purchase Price * Stamp Duty Rate

= K45,000 * 3%

= K45,000 * 0.03

= K1,350

Therefore, the stamp duty payable on a property with a purchase price of K45,000 is K1,350.

10. Calculate the stamp duty payable on properties whose purchase price is K150,000:

Since the purchase price of K150,000 is above K140,000, the stamp duty rate applicable is 5%.

Stamp Duty Payable = Purchase Price * Stamp Duty Rate

= K150,000 * 5%

= K150,000 * 0.05

= K7,500

Therefore, the stamp duty payable on a property with a purchase price of K150,000 is K7,500.

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4. RSTU is a trapezoid because the opposite sides RS and UT are parallel.

5. RSTU is not an isosceles trapezoid because the diagonals are not congruent.

In order to verify that RSTU is a trapezoid, we would have to determine slope of the pair of opposite sides and check whether at least one pair of opposite sides are parallel;

RU ║ ST

Slope of side RU = Slope of side ST

Slope of RU = (y₂ - y₁)/(x₂ - x₁)

Slope of RU = (1 + 3)/(5 + 3)

Slope of RU = 4/8

Slope of RU = 0.5.

Slope of RS = (y₂ - y₁)/(x₂ - x₁)

Slope of RS = (-9 + 3)/(-4 + 3)

Slope of RS = -6/-1

Slope of RS = 6.

Slope of ST = (y₂ - y₁)/(x₂ - x₁)

Slope of ST = (-2 - 1)/(10 - 5)

Slope of ST = -3/5

Slope of ST = -0.6.

Slope of UT = (y₂ - y₁)/(x₂ - x₁)

Slope of UT = (-2 + 9)/(10 + 4)

Slope of UT = 7/14

Slope of UT = 0.5.

Therefore, RSTU is a trapezoid because the opposite sides RS and UT are parallel.

Question 5.

In order to determine whether RSTU is an isosceles trapezoid, we would have to determine length of the diagonals by using the distance formula and check whether they are congruent;

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance RT = √[(-2 + 3)² + (10 + 3)²]

Distance RT = √170 units.

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance US = √[(5 + 4)² + (1 + 9)²]

Distance US = √181 units.

Therefore, RSTU is not an isosceles trapezoid because the diagonals RT and US are not congruent.

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Answer:

3

Step-by-step explanation:

This is because its the opposite.

Jasmine would write 3.

Hope this helps!!

Answer:

c

Step-by-step explanation:

Answer:

k = 31

Step-by-step explanation:

17 = (-14) + k

Add 14 to both sides

k = 31

Answer:

Slope is -5 and y-intercept is 90.

Step-by-step explanation:

Use the two values that you circles (4, 70) and (6, 60) .

slope (m) = the change in y-value/ (the change in the x-values).

m = (70 - 60)/(4 - 6) = 10/-2  = -5

The y-intercept is the value of "b" in the equation y = mx + b.

 Using  y = mx + b,  substitute the value m and use point of your points (4, 70).

   y = mx + b

   70 = -5(4) + b     Now solve for "b".

  70 = -20 + b

 +20 = +20      

   90 = b

Answer:

Step-by-step explanation::

Answer:

2 gallons

Step-by-step explanation:

If Han used 1 1/2 gallons of paint to paint 3/5 of a shed, this can be expressed as;

1 1/2 gallons = 3/5 of the shed

3/2gallons = 3/5 of the shed

To find the number of gallons that will paint the whole shed, we will say;

x gallons = 1 shed

Divide both expressions

3/2/x = 3/5

3/2x = 3/4

2x * 3 = 3*4

6x = 12

x = 12/6

x = 2

Hence 2 gallons will be needed for the whole shed

Answer:

p0 = 0.05

Step-by-step explanation:

Answer:

y=0

Step-by-step explanation:

so it has a steady slope

Answer:

Sketch the graph of y=7x

Reflect the graph across the y-axis to show the function y=7^-x

Stretch the graph vertically by a factor of 3 to show the function y=3x7^-x

Shift the graph up 2 units to show the function y=3x7^-x +2                        

Step-by-step explanation:

The algebric expression -1/4 + 3/5 is equal to 7/20 when simplified.

To solve the expression -1/4 + 3/5, we need to find a common denominator for the fractions and then perform the addition.

The common denominator for 4 and 5 is 20. We can rewrite the fractions with this denominator:

-1/4 = -5/20

3/5 = 12/20

Now that the fractions have the same denominator, we can add them:

-5/20 + 12/20 = (-5 + 12)/20 = 7/20

Therefore, -1/4 + 3/5 is equal to 7/20.

To further simplify the fraction, we can check if there is a common factor between the numerator and denominator. In this case, 7 and 20 have no common factors other than 1, so the fraction is already in its simplest form.

Thus, the final answer is 7/20.

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Answer:

y=4/7x

Step-by-step explanation:

perpendicular lines have opposite slopes. that means reciprocal and opposite sign.

Huda's error in evaluating (3) squared incorrectly led to the incorrect final result.

The correct answer should be -20, not 34.

Huda's error was that she evaluated (3) squared incorrectly.

Instead of calculating 3 squared as 9, she mistakenly considered it as 3. This error led to incorrect subsequent calculations and the final result of 34, which is not the correct answer.

To evaluate the expression correctly, let's go through the steps:

Negative 3 (8 minus 5) squared minus (negative 7) \(= -3(3)^2 - (-7)\)

First, we simplify the expression within the parentheses:

\(-3(3)^2 - (-7) = -3(9) - (-7)\)

Next, we evaluate the exponent:

-3(9) - (-7) = -3(9) + 7

Now, we perform the multiplication and addition/subtraction:

-3(9) + 7 = -27 + 7 = -20

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The value of the given composite functions would be,

1) (h o k)(3) = 3

2) (k o h)(-4b) = -4b

When two functions are inverses, then each will reverse the effect of the other.

For the functions f and g, we can say that;

(f o g)(x) = x and (g o f)(x) = x

For the given example,

The functions h and k are inverse functions.

Thus, for any real input value 'x',

(h o k)(x) = x and (k o h)(x) = x

So, the value of the given composite functions would be,

1) (h o k)(3) = 3

2) (k o h)(-4b) = -4b

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Based on the task content given; the solution to the equation for x 3 1/2(2 1/5x - 4 2/3) - 5 5/6 = 0 is 2 203/231

3 1/2(2 1/5x - 4 2/3) - 5 5/6 = 0

(3 1/2 × 2 1/5x) - (3 1/2 × 4 2/3) - 5 5/6 = 0

(7/2 × 11/5x) - (7/2 × 14/3) - 35/6 = 0

77/10x - 98/6 - 35/6 = 0

77/10x = 98/6 + 35/6

77/10x = 98+35 / 6

77/10x = 133/6

x = 133/6 ÷ 77/10

= 133/6 × 10/77

= 1330/462

x = 2 406/462

= 2 203/231

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166/14=11.8

There nothing like 11.8 boxes so she needs 12 boxes

The equation that states the sum of the tickets sold is -

30x + 45y = 60900.

We have concert promoter.

We have to write an equation that states that the total amount received from the sale, which is 60,900 dollars.

The equation modelling is a process of writing a mathematical equation from a mathematical statement involving variables, constants etc.

According to the question -

Money earned from $30 tickets = $30x

Money earned from $45 tickets = $45y

Total money from 1780 tickets = $60,900

Therefore -

30x + 45y = 60900

Hence, the equation that states the sum of the tickets sold is -

30x + 45y = 60900.

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[ The given question is incomplete, the complete question is

A concert promoter needs to make $60,900 from the sale of 1780 tickets. The promoter charges $30 for some tickets and $45 for the others. Let x represent the number of $30 tickets and y represent the number of $45 tickets. Write an equation that states that the total amount received from the sale is 60900 dollars.]

9514 1404 393

Answer:

  ∠G ≅ ∠U

Step-by-step explanation:

G is the 3rd letter in the triangle name on the left side of the congruence statement.

U is the 3rd letter in the triangle name on the right side of the congruence statement.

  ∠G ≅ ∠U

_____

Corresponding parts are listed in the same order in congruence and similarity statements.

Using graphical method to solve the system of inequality, the number of banana is 2 and mango is 10

A system of linear inequalities in two variables consists of at least two linear inequalities in the same variables. The solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system.

In this question, we can set the unknown variables as;

0.2x + 2y = 20 ...eq(i)

x + y ≥ 12 ..eq(i)

Solving x and y

This can be done graphically;

The number of banana and mango is approximately 2 and 10 respectively

Kindly find the attached graph below

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133 days saw either rain or high winds.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

Example: If an experiment has 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event will be as follows:

Probability(Event) = Favorable Outcomes/Total Outcomes = x/n

P(r) = 66 days

P(w) = 98 days

P(both) = 31 days

P(r or w) = P(r) + P(w) - P(both)

P(r or w) = 66 + 98 - 31

P(r or w) = 133 days

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The mean of brothers and sisters = 3

From the attached data set of brothers and sisters we can write the data values (frequency) as:

1, 5, 4, 2

We need to find the mean of brothers and sisters,

We know that the formula for the mean of data.

mean(\(\bar{x}\)) = sum of all data values / total number of data values

First we find the sum of all data values.

1 + 5 + 4 + 2 = 12

and the total number of data values = 4

Using above formula of mean,

mean(\(\bar{x}\)) = sum of all data values / total number of data values

mean(\(\bar{x}\)) = 12 / 4

mean(\(\bar{x}\)) = 3

Therefore, the required mean is: 3

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Find the complete question below.

Answer:

Below 30⁰F or 0⁰C

Step-by-step explanation:

Water freezes at those temperatures

Answer: No, the answer is not reasonable because 3,627/9 doesn’t equal 43, it equals 387.

Answer:

No, you friend's answer is not reasonable.

Step-by-step explanation:

3,627 x 9 does not equal 43

3,627 x 9 =32643

Therefore your friend is incorrect