P is a rectangle with a length of 40cm and a width of x cm.
Q is a rectangle with a width of y cm.
The length of Q is 25% more than the length of P.
The area of Q is 10% less than the area of P.
Work out the ratio x : y.
Give your answer in its simplest form.

Answer:

Step-by-step explanation:

This problem is on Combined work rate

Step one:

given data

let the secretary take x hours to finish one job

so the clerical worker will take 2x hours to finish one job.

Both of them working together will take 6 hours

Step two:

The combined work formula is

T/A+T/B=1

Where T= time working together

A= time the Clerical worker spent alone

B= time the secretary spent alone

substituting we have

6/2x+6/x=1

solve for x

6+12/2x=1

18/2x=1

9/x=1

cross multiply

x=9 hours

the clerical worker take 2x hours

2*9= 18 hours

Answer:

[tex]\huge\boxed{f^{-1}(x)=\dfrac{1}{2}x+5}[/tex]

Step-by-step explanation:

[tex]f(x)=2x-10\to y=2x-10\\\\\text{exchange x to y and vice versa}\\\\x=2y-10\\\\\text{solve for}\ y\\\\2y-10=x\qquad|\text{add 10 to both sides}\\\\2y-10+10=x+10\\\\2y=x+10\qquad|\text{divide both sides by 2}\\\\\dfrac{2y}{2}=\dfrac{x}{2}+\dfrac{10}{2}\\\\y=\dfrac{1}{2}x+5[/tex]

Answer:

Step-by-step explanation:

1). segment AB ≅ segment CD    1). Given

2). segment FA ≅ segment EC    2). Given

3). ΔABF ≅ Δ DCE          3). HL

4). segment BF ≅ segment DE   4). Corresponding parts of congruent Δs

5). segment EF ≅ segment EF    5). Reflexive property

6). ΔDAF ≅ ΔBCE               6). SAS postulate

7). segment AD ≅ segment CB     6). corresponding sides of congruent Δs

I used word segment instead of dash above the letters.

Answer:

30 yards

.......................................................................................................................................

Answer:

[tex]slope \: = \frac{y2 - y1}{x2 - x1 } \\ slope = \frac{15 - 6}{2 - 5} \\ slope = \frac{9}{3} [/tex]

Answer:

y=[tex]-\frac{4}{3}[/tex]x -5

Step-by-step explanation:

9y=-12x-45

y=-12/9x-5

y= -4/3x-5

Answer:

8

Step-by-step explanation:

Answer:D is incorrect

Answer:

because its 5 squared, therefore, the first number can not be a sqaure number

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

5^9

The power is an odd number

To be a perfect square, the power has to be an even number

Answer:

6560lbs

Step-by-step explanation:

Answer:

60m tall

Step-by-step explanation:

Since this is a ratio problem and we are given 3 values and 1 unknown then we can use the Rule of Three to calculate the height of the tower which we will refer to as x. The Rule of Three simply multiplies the diagonal values and divides by the third value in order to get the missing unknown like so...

12m height  <======>  8m shadow

x   height   <======>  40m shadow

(40m * 12m) / 8m = 60m height

Finally, we can see that the height of the tower is 60m tall.

Answer:

i need the answerrrrr

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

no sloution

Step-by-step explanation:

Answer:

C=2.19km+3.60

Step-by-step explanation:

If you traveled 15 km it would cost 36.45.

Have a nice night! (^-^)

Answer:

Step-by-step explanation:

So the answer is 20.

24 ÷120%=24÷(120÷100)=(100 x 24) ÷120=2,400÷120=20

Hope this helps ∞<3

Answer:

1/ x +8

*The 1 over x + 8

Answer:

[tex]\frac{1}{x+8}[/tex]

Step-by-step explanation:

Here is your original equation:

What we need to focus on is simplification, specifically simplifying the denominator. First, let's isolate the denominator (we'll get back to [tex]x-5[/tex] later):

[tex]x^{2} +3x-40[/tex]

Next, we take a look at -40. Our goal is to find what factors of 40 create a sum of 3 so we can separate the equation for polynomial division.

Let's begin building our expressions. We know that [tex]x^{2}[/tex] has an exponent of 2. When variables are multiplied, the exponents are added, meaning that [tex]x*x=x^{2}[/tex]. (Or [tex]x^{1} + x^{1} =x^{2}[/tex] , the 1s just don't show)

We can also see that -40 is a negative number. A negative multiplied by a positive makes a negative product, so we can also include one positive and one negative in each expression.

[tex]x^{2} +3x-40 = (x+)(x-)[/tex]

Next, let's look at the factors of 40:

1 and 40   2 and 20   4 and 10   5 and 8

Which of these factors can make a sum of 3? Remember that one number has to be positive and the other has to be negative!

In this instance, our positive number is 8 and our negative number is 5. They create the sum of 3 that we're splitting in [tex]3x[/tex]. Therefore, [tex]8(-5)=-40[/tex].

Now let's go back to our original equation and substitute our old expression with the new one:

Do you notice that the numerator and part of the denominator are equal? This means that they can cancel each other out! Think of it as a [tex]\frac{1}{1}[/tex].

Therefore, your simplified answer is  [tex]\frac{1}{x+8}[/tex] !

Here's the whole process:

[tex]\frac{x-5}{x^{2} +3x-40} \\\\(x+?)(x-?)\\\\40:\\1, 40\\2, 20\\4, 10\\5, 8\\\\8-5=3 \\(8x-5x=3x)\\\\(x+8)(x-5)\\\\\frac{x-5}{(x+8)(x-5)}=\frac{1}{x+8} \\\\\frac{1}{x+8}[/tex]

To check your answer, confirm your expressions using the box method attached.

I hope this helps! If you have any more questions or concerns about the answer or the process, let me know!

Answer:

6xy^2/5 what im assuming is right

Step-by-step explanation:

Answer: 24 questions

Step-by-step explanation:

Let the number of questions on the quiz be represented by x. This means that 75% of x equals 18. We need to calculate x. This will be:

75% × x = 18

75/100 × x = 18

0.75 × x = 18

0.75x = 18

x = 18/0.75

x = 24

The quiz has 24 questions.

Answer:

b

Step-by-step explanation:

Ed2021

Company C  offers greatest total employment compensation since,  it has least job expenses  as compared to the other three and comparatively good gross pay. Therefore, option C is the correct answer.

Net pay means take-home pay or the amount employees earn after all payroll deductions are subtracted from their gross pay.

Company A

Gross pay=$37,600, Paid insurance=$2800, Paid time off =$3,100, Job expenses = $1,200

Company B

Gross pay=$36,800, Paid insurance=$2,400, Paid time off =$3,600, Job expenses = $600

Company C

Gross pay=$38,100, Paid insurance=$2,100, Paid time off =$2,900, Job expenses = $300

Company D

Gross pay=$39,000, Paid insurance=$1,800, Paid time off =$2,500, Job expenses = $800

Company C  offers greatest total employment compensation since,  it has least job expenses  as compared to the other three and comparatively good gross pay.

Wherever in all other cases that is in gross pay, paid insurance, paid off company C is not that much legging behind

Company D has greatest gross pay but has greatest expense also

Company A is at second position in paying  but also at 2nd in expenses.

Company B is least payer but do not have least expenses.

Company C  offers greatest total employment compensation since,  it has least job expenses  as compared to the other three and comparatively good gross pay. Therefore, option C is the correct answer.

To learn more about the net pay visit:

https://brainly.com/question/14690804.

#SPJ6

Answer:

the answer is equal to 10x+15y

Answer:

d

Step-by-step explanation:

Answer:

10%

Step-by-step explanation:

We know Perimeter of rectangle

= 2 (Length + Width)

If width and length are increased by 10%

New length= L + 10/100L = (1.1) L

New width = W + 10/100W = (1.1) W

Perimeter = 2 [(1.1) L + (1.1) W]

Perimeter = 2 (1.1) (L + W)

Perimeter = (2.2) (L + W)

Increase in perimeter = 2.2 (L + W) - 2 (L + W)

The increase in Perimeter = 0.2 (L + W)

Percent increase

= 0.2 (L + W)/2 (L + W) × 100

= 0.2/2 × 100

= 0.1 × 100

= 10%

I hope this helped and if it did, please mark as Brainliest.

Answer:

The correct answer is:

Option A: [tex](14.\frac{1}{7})\frac{2}{5}[/tex]

Step-by-step explanation:

Associative property is applied on three numbers which states that when two numbers are being added or multiplied the order of addition and multiplication doesn't matter i.e. the answer is same.

If a,b and c are three numbers then associative property for multiplication can be given as:

a.(b.c) = (a.b).c

The given expression is:

[tex]14(\frac{1}{7}.\frac{2}{5})[/tex]

Applying the associative property for multiplication we get

[tex](14.\frac{1}{7})\frac{2}{5}[/tex]

Hence,

The correct answer is:

Option A: [tex](14.\frac{1}{7})\frac{2}{5}[/tex]

Answer:

[tex]f^\prime(x)=-(x+1)^2-4[/tex]

Step-by-step explanation:

We have the function:

[tex]f(x)=x^2[/tex]

And we want to write its equation after being: 1) Flipped over the x-axis, 2) shifted 4 units down, and 3) shifted 1 unit to the left.

To denote a flip over the x-axis, we multiply the function by -1. Hence:

[tex]f^\prime(x)=-x^2[/tex]

Is our function flipped over the x-axis.

To shift n units vertically, we simply add n to our function.

Since we are going 4 units downwards, we will add -4 to our function. Hence:

[tex]f^\prime(x)=-x^2-4[/tex]

Finally, to shift n units horizontally, we substitute our variable [tex]x[/tex] for [tex](x-n)[/tex].

Since we are shifting 1 unit to the left, n=-1. Hence, we will substitute [tex]x[/tex] for [tex](x+1)[/tex]. Therefore:

[tex]f^\prime(x)=-(x+1)^2-4[/tex]

So, our final function is:

[tex]f^\prime(x)=-(x+1)^2-4[/tex]

Answer:

-784

Step-by-step explanation:

Answer:

Eden

Step-by-step explanation:

Answer:

it has D'Andrea

Step-by-step explanation:

Because here we are using direct variation and the formula is y=kx and k=y/x. I used k=y/x You divide 176 by 4 and you'll get 44 that's D'Andrea and the you divide 215 by 5 and you get 43 for Eden. you can see you does more sit up

Answer:

32.8

Step-by-step explanation:

The average is calculated as

average = [tex]\frac{sum}{count}[/tex]

let x be the fourth number, then

[tex]\frac{24.2+14.5+50.5+x}{4}[/tex] = 30.5 ( multiply both sides by 4 )

89.2 + x = 122 ( subtract 89.2 from both sides )

x = 32.8

Thus the fourth number is 32.8

Answer:

(1, -8)

Step-by-step explanation:

You're going over the y axis which is along the x axis. So if you were to reflect across the y axis, the x point would be turned to opposite (1)