Alf earns £9.00 per hour and works 33 hours each week. He spends a total of £24.40 each week travelling to and from work. Next month he is getting a 4% pay rise but his travel costs are increasing by 15%.

How much extra will he have each week?

Answer:13

Step-by-step explanation:

68-54=14

14-1=13

The percentage of error in Pansy's measurement is 14.67%

In the given statement is :

Pansy measured the height of a window frame as 5.12 feet, but the actual height was 6 feet.

We know that

Percentage error can be calculated using the formula: (what was measured - the actual measurement) / actual measurement × 100%.

Thus:

The height that was measured = 5.12 feet

Actual measurement of the height = 6 feet

Percentage error = (6 - 5.12) / 6 × 100

Percentage error = 14.67

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In order for f(x) to be a linear function, determine the value of k in the data set.

x = {-7, -2, 2, 5}

f(x) = {-15, k, 3, 9}

The value of k is {-5}.

Given that to find the value of k in the data set such that the data set represents a linear function.

Linear Function is a straight line on the coordinate plane is represented by a linear function. The formula for a linear function is f(x) = mx + b, where m and b are real values.

Here, f(x) or y is the dependent variable, m is a slope of the line, x is the independent variable and b is the y-intercept.

Here,(x,f(x)) are {(-7,-15),(-2,k),(2,3),(5,9)}

The slope of the function,

(x, f(x)) = (2,3) and (5,9)

Slope formula is m=[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex].

Slope m= [tex]\frac{9-3 }{5-2}[/tex]

Slope m=[tex]\frac{6}{3}[/tex]

Slope m=2.

Using the point slope form, determine the linear function's equation.

[tex]y-y_{1} =m(x-x_{1})[/tex]

Here, [tex](x_{1},y_{1})=(-7,-15)[/tex] and m=2

We get

y + 15 = 2 (x + 7)

y = 2x - 1

Now at x = -2 and f(x) = k

k = 2(-2) - 1

k = -4-1

k=-5

Therefore, the value of k is -5.

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A = \frac{hb_{1} }{2} +  \frac{hb_{2} }{2}  is the solution of this linear equation.

What in mathematics is a linear equation?

Apply the distributive property.

A = [tex]\frac{1}{2} . ( hb_{1} + hb_{2} )[/tex]

Apply the distributive property

A = [tex]\frac{1}{2} ( hb_{1} ) + \frac{1}{2} hb_{2}[/tex]

Multiply [tex]\frac{1}{2}( hb_{1} )[/tex]

combine h and 1/2

A =[tex]\frac{h}{2} b_{1} + \frac{1}{2} ( hb_{2} )[/tex]

[tex]A = \frac{hb_{1} }{2} + \frac{hb_{2} }{2}[/tex]

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Answer:

Step-by-step explanation:

During those 2 hours 24 more seagulls arrived.

Answer:

it is 12 seagulls per hour

Step-by-step explanation:

Graphing the linear functions, it is found that they will have the same height after 5 hours, of 21 inches.

A linear function is modeled by:

y = mx + b

In which:

For each function in this problem, we have that:

Hence the functions are given as follows:

The functions are graphed at the end of the answer, with A(t) in blue and B(t) in black. The intersection of the graphs is at (5,21), which means that they will have the same height after 5 hours, of 21 inches.

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Answer:

So a cube has all the same edge lengths and since the cube has an edge length of 3

you would just do:

3•3•3

Which is 27

Answer:

f = g - an

Step-by-step explanation:

f + an = g

To isolate f, we need to do inverse (opposite) operation for an.

The opposite of +an is -an

f = g - an

Hope this helps :)

Have a great day!

Answer:-5 1/3 is repeating and 1 1/4 is  terminal

Step-by-step explanation:

Answer: Terminal

Step-by-step explanation: yw :)

Answer:

k= 7

Step-by-step explanation:

First let's add like terms: a+b+a=c: a²+b=c

k+9+5=21

k+14=21

Subtract 14 from both sides of the equation

k+14-14=21-14

K=7

Hi!

[tex]\tt{9+k+5=21}[/tex]

Step 1: Combine like terms.

[tex]\tt{9+5+k=21}[/tex]

[tex]\tt{14+k=21}[/tex]

Step 2: Subtract 14 from both sides.

[tex]\tt{k=7}[/tex] [tex]\checkmark[/tex]

Have a great day!

Hope that helps. :)

-Stargazing & daydreaming -

The height of the drawing is 4 inches.

A scale drawing is a reduced form in terms of dimensions of an original image / building / object. The scale drawing is usually reduced at a constant dimension

Scale of the drawing = original dimensions / dimensions of the scale drawing

The first step is to determine the scale of the drawing : 3000 / 10 = 300 feet : 1 inch

The second step is to determine the height of the drawing in the map: 1200 / 300 = 4 inches

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Here is the complete question:

Julio are you drawing a map of humid. The actual payment has a base of 3000 feet and a height of 1200 feet. Julio needs his drawing to sit on his papers, and he decides to make the base of his triangle 10 inches. What is the height of the humid in Julio's drawing?

Answer:

Kindly check explanation

Step-by-step explanation:

Given the question:

Play 1: Quarterback was sacked for a loss of 4 yards

Play 2 : Another loss of 10 yards

Play 3: a gain of 12 yards

Write an addition expression to represent the situation. Then find the sum and explain its meaning.

A loss of 4 yards = - 4

Loss of 10 yards = - 10

Gain of 12 yards = + 12

Addition expression for the scenario :

(-4) + (-10) + 12

Result :

-4 + (-10) + 12

= - 4 - 10 + 12

= - 14 + 12

= - 2

Hence, after two consecutive losses of 4 and 10 yards, the team wins 12 yards on the third play and the aggregate yards lost is reduced to 2 yards.

Answer:

noooo

Step-by-step explanation:

Answer:

sorry if wrong again but for a put (r+y) (a+b)

for b put (pq-[tex]r^{2}[/tex]) x (9-1)

Step-by-step explanation:

Answer:

D. (A U C) ∩ B

Step-by-step explanation:

12.

A = {-2, -1, 0, 1}

B = {0, 1, 2, 3}

C = {-2, 0, 2, 4}

A. A U B = {-2, 1, 0 , 1, 2, 3}

B. A U (C ∩ B} = A U {0, 2} = {2, 1, 0, 1, 2}

C. B ∩ C = {0, 2}

D. (A U C) ∩ B = {-2, -1, 0, 1, 2, 4} ∩ {0, 1, 2, 3} = {0, 1, 2}

Answer:

4/8, 4/6, 3/4

Step-by-step explanation:

3/4 = 18/24

4/6 = 16/24

4/8 = 12/24

18>16>12

Applying the rule of modulus for given values, the expression will result to 20.

The modulus of a value for example |a|=a if a is greater than or equal to zero

and also

|a|=-a if a is less than zero

In the expression given; the modulus of -6 written as

|-6|=-(-6) this is because the value is less than zero

The modulus of 2 written as; |2|=2 this is because the value is greater than zero. and;

|The modulus of -14 written as; |-14|= -(-14) since the value is less than zero.

Hence, we can rewrite the expression as;

we deal with multiplication first following the rules of BODMAS

2×-(-6)-3×2+[-(-14)]

2×6-6+14

and thus adding values

12+14-6

and finally we subtract;

26-6

which will results to the solution of 20.

the correct value for x is -1.2, 2.2

Given 5 | 2x - 1 | + 20 = 3

Modulus of a  number

The modulus or absolute value, of a number, denoted |x+y| is calculated as

|x + y | =1

x + y   = ±1

We need to solve for the value of x

5 | 2x - 1 | = 3 - 20

5 | 2x - 1 | = -17

| 2x - 1 | = - 17 / 5

| 2x - 1 | = - 3.4

2x - 1 = ± (- 3.4)

2x - 1 = -3.4            2x -1 = 3.4

2x = - 3.4 + 1           2x = 3.4 + 1

2x = - 2.4                2x = 4.4

x = - 1.2                     x = 2.2

Therefore, the value for x is -1.2, 2.2

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Answer: x=-1/7

Step-by-step explanation:

11-10x-7-4x=6

11-7-10x-4x=6

4-14x=6

-14x=2

x=-1/7

Answer:to answer this question you have to look at what the relationship is between tones of sugar and the equation C(n) = 6,500 + 225n. The question gave you a hint in parenthesis in the form of (n) tons. This statement means that the amount of sugar is n so for question 1 the 13 tons is the n value.

Q1:

C(13) = 6,500 + 225*13

C(13) = 6,500 + 2,925

C(13) = 9,425

so what does the 9,425 mean? This is the cost to transport 13 tons of sugar.

Q2:

so this part n is unknown and we are given the C(n) number.

11,450 = 6,500 + 225n

subtract the 6500 from both sides

11,450 - 6,500 = 225n

evaluate

4,950 = 225n

I don't like the n on the right side so I am going to rewrite the equation

225n = 4,950

divide by 225

n = 4,950/225

evaluate

n = 22

So this result means that the company would transport 22 tones of sugar.

Have a great day!

Step-by-step explanation:

The statement "the difference between cross-sectional and time series data is whether the data is evaluated at a single point in time or multiple factors in time" is true.

The distinction between cross-sectional data and time-series data is that time-series data takes into account the identical variables over a period of time, whereas cross-sectional data makes use of specific records for a specific factor in time.

A data set may be both time series and cross sectional.

When the records of go sectional records is regressed, the defined and explanatory variables are all related to the identical single length or point in time.

Time-series and cross-section (TSCS) data collectively are normally analyzed in political technology and associated disciplines.

Therefore, the statement "the difference between cross sectional and time series data is whether the data is evaluated at a single point in time or multiple factors in time" is true.

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The distance between Earth and Mars in the standard form is               43, 500, 000 miles.

The correct answer is an option (C)

In this question we have been given the distance between Earth and Mars.

The distance between Earth and Mars is approximately 4.35 × 10^7 miles.

We need to write above distance between Earth and Mars in the standard form.

So, we get an expression,

4.35 × 10^7 miles

= 435 × 10^5 miles

= 435 × 100, 000 miles

= 43, 500, 000 miles

Therefore, the distance between Earth and Mars in the standard form is 43, 500, 000 miles.

The correct answer is an option (C)

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Answer:

10 and 1/2 for the first, and 3 and 3/4 for the second

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:A normal QRS complex measures 0.06 to 0.12 seconds which is 1.5 to 3 small boxes on the EKG strip. When you measure the QRS complex you start by measuring at the END of the PR interval to the END of S-wave.

Step-by-step explanation:

Answer:

y=2x+2

Step-by-step explanation:

y=mx+b where:

m=slope; b=y intercept

Therefore, simply plug in values for (m) and (b)

(m=2); (b=2)

and you're left with the equation (y=2x+2)

Answer:

3

Step-by-step explanation:

Rosario: (78+77+64+86+70)/5=75

Enrique: (90+61+79+73+87)/5=78

3

Answer:

I'm pretty sure its A

Step-by-step explanation:

square root of 6 is 2.44948974278 and A is around 2.4