The function h(n) gives the number of person-hours it takes to assemble n engines in a factory. What is a reasonable domain for h(n)?

Answer:

The new value after an increase

of £258 by 43 will be: 368.94

Step-by-step explanation:

As we have to increase £258 by 43 using the multiplier method.

Let 'n' represent the new value after the increase of £258 by 43 using the multiplier method.

Using the formula

n = 258 + percentage increase

   [tex]=258+\left(43\%\:258\right)[/tex]

   [tex]=258\:+\:43\%\:\times 258[/tex]

Factoring out 258

    [tex]=\left(1\:+\:43\%\right)\:\times \:258[/tex]

as 1 = 100 / 100 = 100%

so

   [tex]=\left(100\%\:+\:43\%\right)\:\times \:258[/tex]

   [tex]=143\%\:\times \:258[/tex]

    [tex]=\frac{143}{100}\times 258[/tex]

    [tex]=\:\frac{143\times 258\:\:}{100}[/tex]

    [tex]=\:\frac{36,894\:\:}{100}[/tex]

    [tex]=368.94[/tex]

Therefore, the new value after an increase

of £258 by 43 will be: 368.94

Answer:

31

Step-by-step explanation:

y=kx

Asia is a chef in a restaurant. To prepare for dinner service, she chops 7 1/2 onions in 1/6 of an hour. Asia's rate of chopping onions is 30 onions per hour.

From the information given;

So, the onion is given in mixed fraction which can be converted to an improper fraction as: [tex]\mathbf{\dfrac{15}{2}\ onions}[/tex]

Now,

We can cross multiply the above two equations to determine the number of onions Asia will chop per hour as follows:

[tex]\mathbf{(x) \times \dfrac{1}{6} \ hours = \dfrac{15}{2} \ onions \times 1 \ hour}}[/tex]

Making (x) the subject of the formula:

[tex]\mathbf{(x)=\dfrac{ \dfrac{15}{2} \ onions \times 1 \ hour}{ \dfrac{1}{6} \ hours }}}[/tex]

[tex]\mathbf{(x)={ \dfrac{15}{2} \ onions } \times { \dfrac{6}{1} }}}[/tex]

(x) = 15 onions × 3

(x) = 30 onions per hour.

Therefore, Asia's rate of chopping onion is 30 onions per hour.

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If Asia chops 7 1/2 onions in 1/6 hour, therefore, using proportion, the rate of chopping onions per hour is: 45 onions per hour.

Applying the knowledge of proportion and fractions, we can determine Asia's chopping rate of onions per hour.

Given:

Using proportion, we have the following:

[tex]7\frac{1}{2} = \frac{1}{6} \\\\x = 1[/tex]

[tex]\frac{1}{6} \times x = 7\frac{1}{2} \times 1\\\\\frac{x}{6} = \frac{15}{2}[/tex]

[tex]\frac{x}{6} = \frac{15}{2}\\\\x = \frac{15}{2} \times 6\\\\x = 45[/tex]

Therefore, if Asia chops 7 1/2 onions in 1/6 hour, therefore, using proportion, the rate of chopping onions per hour is: 45 onions per hour.

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Answer:

2

Step-by-step explanation: the rise is 2 and the run is 1 and its rise over run so 2/1 and that equals 2

Answer:

the slope is 2

Step-by-step explanation:

(2,1), (0,-3)

m=2

Answer:

61

Step-by-step explanation:

first we set <B and <E equal to each other to find x (they are equal because it is a given in the phrase below the pics)

5x + 8 = 7x - 12

5x + 20 = 7x

20 = 2x

10 = x

now we know x is 10, so substitute it into an equation to find the measure of the vertex of the triangles

5(10) + 8 = 58

subtract 58 from 180 to find what the base angles are combined

180 - 58 = 122

since there are two congruent base angles (the base angles of isosceles triangles are always congruent), we have to divide 122 by 2 to find the measure of a base angle

122 ÷ 2 = 61

<F is a base angle, so <F is 61

Answer:

You just do

Step-by-step explanation:

Answer:

just click the thing that says "Ask blah blah about this question..."

Step-by-step explanation:

Answer:

[tex]y=x+0.2x[/tex]

Step-by-step explanation:

Step one:

given data

we are told that Dillon paid $x for a haircut.

and gave a tip of 20% of the amount he paid, this is expressed as

=20/100*x

=0.2x

Let the total amount he paid, that is haircut plus tip be y

the expression for the total amount is

[tex]y=x+0.2x[/tex]

     here x represents the amount he paid

              0.2 represents 20% of the haircut

Answer: 1.45

Step-by-step explanation:

Answer:

The constant of proportionality is 10

Answer:

Step-by-step explanation:

Step one:

given data

for train one

speed= 50miles per hour

for train two

speed= 60miles per hour

the total distance between both trains=275miles

Step two:

the expression for speed= distance/time

so that, distance= speed*time

let the time be t

we are going to combine both distances

train one distance =50t

train two distance =60t

Hence total distance

50t+60t=275

110t=1=275

t=275/110

t=2.5 hours

It will take 2.5 hours

Answer:

Yes, the table shows a proportional relationship

The value of y when x is 11 is 1331

Step-by-step explanation:

Let us check the relation between x and y in the table

∵ x = 4 and y = 64

∵ 64 = 4³

∴ y = x³

∵ x = 5 and y = 125

∵ 125 = 5³

∴ y = x³

∵ x = 6 and y = 216

∵ 216 = 6³

∴ y = x³

∵ x = 10 and y = 1000

∵ 1000 = 10³

∴ y = x³

∵ All the values on the table give the same relation

∴ x and y are proportion

∴ The table shows a proportional relationship

∵ y = x³

∵ x = 11

∴ y = (11)³

∴ y = 1331

∴ The value of y when x is 11 is 1331

Answer:

c.

Step-by-step explanation:

$4 a ticket

12÷3=4

I hope this was helpful

Answer:

The tens digit = 5

The units digit = 9

The two digit number is 59

Step-by-step explanation:

Let the tens digit be represented by x

The units digits be represented by y

In a two-digit number, the units digit is six less than three times the tens digit.

y = 3(x) - 6

y = 3x - 6

Four times the units digit minus five times the tens digit equals 11.

4(y) - 5(x) = 11

4y - 5x = 11

We substitute

4(3x - 6) - 5x = 11

12x - 24 - 5x = 11

Collect like terms

12x - 5x = 11 + 24

7x = 35

x = 35/7

x = 5

y = 3x - 6

y = 3(5) - 6

y = 15 - 6

y = 9

Hence,

The tens digit = 5

The units digit = 9

The two digit number is 59

Answer:

5=tens 9=units

Step-by-step explanation:

I think its this

Answer:

13 5/12

Step-by-step explanation:

Step-by-step explanation:

5 3/4 X 2 1/3

=23/4 X 7/3

=161/12

Answer:

a

Step-by-step explanation:

Vecayse Sjuare tmes

Answer:

- 1.2+15.45=14.43

Step-by-step explanation:

Answer:

201.06 in

Step-by-step explanation:

I'm guessing you meant πr² because that's what you use to find the area of a circle.

Anyways, we know what the radius is, it's 8, so now we just need to plug it in.

π8² = 201.06

or you can do

3.14(8²) = 200.96

Using π just makes it more exact.

Answer:

201.1 in (approx.)

Explanation:

ok x so first I will multiply 8^2 by pi, that gives me an infinite decimal.. but after rounding it up to 1d.p, we get 201.1 inches which is your answer

Answer:

yes, correct me if im wrong

Step-by-step explanation:

No it is not a direct variation or A

Answer:

A

Step-by-step explanation:

not sure.................pero tama sagot ko

Answer:

12 beats per minute after 30minutes

Step-by-step explanation:

Since we are told by how much his heartrate increased in 20 minutes, we can simply calculate how much it increased in 10 minutes and add that amount to the current heart rate to know how much his heartrate increased after 30 minutes of working out. Since 10minutes would be half of the 20minutes we simply divide the beats per minute by 2.

8 / 2 = 4 beats per minute after 10 minutes

Now we simply add this to the beats per minute at the 20minute mark to calculate the beats per minute at 30minutes

8 + 4 = 12 beats per minute after 30minutes

Answer:

is it multiple choice

Step-by-step explanation:

Answer:

x is 10 y is 5.8

Step-by-step explanation:

x=y+4.2=10

Answer: 5 - 20 i

Step-by-step explanation:

Answer:

what help would i do

Step-by-step explanation:

Answer:

16

just subtract the sqaush by tomatoes

Answer:

0.5

Step-by-step explanation:

65.92÷32=2.06

49.92÷32=1.56

2.06-1.56=0.5

Answer:

5,000 meters

Step-by-step explanation:

Multiply by 1000, so 5 x 1000 is 5000.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The equation can be used to find, x, the number of baskets Derek made on Saturday.

3x = 15

Option D is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number of baskets made = 15

This was triple the number of baskets he made on Saturday.
This means,

3x = 15

Number of baskets made on Saturday = x

Now,

3x = 15

Divide both sides by 3.

x = 5

The number of baskets made on Saturday is 5.

Thus,

The equation can be used to find, x, the number of baskets Derek made on Saturday.

3x = 15

Option D is the correct answer.

Learn more about expressions here:

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#SPJ5

Answer:

150

Step-by-step explanation:

maybe it could be like this

0.40x = 240

we could get x = 600

then 0.25x = 600 × 0.25 = 150

Answer:

2

Step-by-step explanation:

2x+3=6x-5

2x-6x=-5-3

-4x=-8

X=8/4

X=2

So the final answer is 2

Answer:

The slope is 1/2

Step-by-step explanation:

m=y²-y¹/x²-x¹

m=2-1/4-2

m=1/2