Julie works in a leisure centre. Part of her duties is to prepare personal fitness plans for her clients.
Her April payslip is only partially completed.
Name
Employee No.
Tax Code
Month
J. Bond
007
1060L
April
Basic Pay
Overtime Pay
Bonus
Gross Pay
£1,376
National Insurance
Income Tax
Pension
Deduction
£120.02
£130.98
Net pay
£
what's her gross pay

Answer:40%

Step-by-step explanation:

Given

The zoo featured 6 whales exhibits

There are 15 exhibits in total

Percentage of Zoo's exhibits featuring whales

[tex]\Rightarrow \dfrac{6}{15}\times 100=40\%[/tex]

Question:

The area of a rectangular computer chip is 112a^3b^2 square microns. Write a simplified expression that represents the length, if the width is 8ab

Answer:

[tex]Length = 14a^2b[/tex]

Step-by-step explanation:

Given

[tex]Area = 112a^3b^2[/tex]

[tex]Width = 8ab[/tex]

Required

Determine the height

Area is calculated as:

[tex]Area = Length * Width[/tex]

Make Length the subject

[tex]Length = \frac{Area}{Width}[/tex]

[tex]Length = \frac{112a^3b^2}{8ab}[/tex]

[tex]Length = \frac{14a^3b^2}{ab}[/tex]

Apply law of indices

[tex]Length = 14a^{3-1}b^{2-1}[/tex]

[tex]Length = 14a^2b[/tex]

Answer:

5

Step-by-step explanation:

Answer:

y = 5x + 3 is a nonproportional relationship.

Step-by-step explanation:

We need to find the equation that represents a nonproportional relationship.

If y is directly proportional to x, it would mean that,

y ∝ x

y = kx

Option (b) shows the equation of a line i.e. y=mx+x, where m is slope and x is y-intercept.

Hence, we can say that option (b) represents a nonproportional relationship.

Answer:

1:500

Step-by-step explanation:

3cm:15m

1cm:5m

1cm:500cm

1:500

no photo??

how do u want me to help u when there's nothing

Answer:

See explanations below

Step-by-step explanation:

Let the amount of nickel be x

Let the amount of pennies be y

Let the amount of quarters be z

If the the total value of the coins is 3.88, then;

x+y+z = 3.88 .... 1

If Anita has 4 more nickels than pennies, then;

x = y + 4 ... 2

If she has 2 more than 4 times the number of quarters than pennies, then;

y = 2 + 4z

4z = y-2

z = (y-2)/4 ...3

Substitute 2 and 3 into 1

y+4+y+(y-2)/4 = 3.88

4y+16+4y + y-2 = 15.52

9y + 14 = 15.52

9y = 15.52 - 14

9y = 1.52

y = 1.52/9

y = 0.17

Since x = y + 4

x = 0.17+4

x  = 4.17

z = y-2/4

z = 0.17-2/4

z = -1.83/4

z = - 0.46

Answer:

the length of PQ is 8.9 m

Step-by-step explanation:

The computation of the length of PQ in meters is shown below:

Here we applied the Pythagoras theorem

c² = a² + b²  

 = 4² + 8²

 = 16 + 64

= 80

Now square root to the both sides

c = √80

=  8.94427191

= 8.9 m

Hence, the length of PQ is 8.9 m

Answer:

1800

Step-by-step explanation:

30 x 60

Answer:

f(−18)=−8

khan academy

Answer:

-8 and 7 is the answer

-8*7 is -56

and -8+7 is -1

Answer:

River C: 2875, River D: 2675

Step-by-step explanation:

Subtract 200 from 5550. Then divide your  difference (5350) by 2 to get 2675. Add 200 to one of your 2675s to get river C's length.

Answer:7.922927...

or just 7

Step-by-step explanation:

Answer: 36

Step-by-step explanation: multiply 2 6 and 3

45 × 30 ÷ 100 = 13.5

thats all

Answer:

71.8

Step-by-step explanation:

74*0.97=71.78

Rounds up to 71.8

Answer:

The code for that is 439.8

Answer:

9: 1,3,9

45: 1, 3, 5, 9, 15, and 45

Step-by-step explanation:

So the gcf is 9

Answer:

Step-by-step explanation:

The greatest common factor of two numbers x and y is the greatest number that divides x and y leaving the remainder as 0

We can find the GCF of 9 and 45 by the following methods.

GCF of 9 and 45 by Listing the Common Factors Method

GCF of 9 and 45 by Prime Factorization Method

Answer:

Missing Truck Value=6

Missing Car Value=45

Step-by-step explanation:

Since the ratio of trucks to cars is 2:3, you do 3 times 3 equals 9. Since all 3 ratios needed to be equal, we have to do 2 times 3 which is 6. That is how you get the truck value. We do the same to get the car value. 6 times 5 is equal to 30, so we do 9 times 5 too. That gives you 45.

Answer:

2/9 yards

Step-by-step explanation:

Felicity cuts 27 equal strips from a 6-yard spool of ribbon. Which expressions show the number of yards for one strip of ribbon

From the above question:

27 equal strips of ribbon = 6 yards of spool

1 strip of ribbon = x yards

Cross Multiply

27 strips of ribbon × x yards = 6 yards × 1 strip of ribbon

x yards = 6/27

x yards = 2/9 yards

Therefore, for 1 strip of ribbon we need 2/9 yards

Answer:

Choice number 3

Step-by-step explanation:

Because look at the length of 8 on one side and notice the other side is a little longer

Answer:

(43[tex]x^{2}[/tex] - 26x) [tex]ft^{2}[/tex]

Step-by-step explanation:

Area of the yard that is not pat of the sandbox = Area of the yard - Area of the sandbox

Since both the yard and the sandbox has a rectangular shape, then;

Area of a rectangle = length x width

So that,

Area of the yard = length x width

                            = (6x+7) x 8x

                            = (48[tex]x^{2}[/tex] + 56x) [tex]ft^{2}[/tex]

Area of the sandbox = length x width

                                  = (x+6) x 5x

                                  = (5[tex]x^{2}[/tex] + 30x) [tex]ft^{2}[/tex]

Thus,

Area of the yard that is not pat of the sandbox = (48[tex]x^{2}[/tex] + 56x) - (5[tex]x^{2}[/tex] + 30x)

                                = 48[tex]x^{2}[/tex] + 56x - 5[tex]x^{2}[/tex] - 30x

                                = (43[tex]x^{2}[/tex] - 26x) [tex]ft^{2}[/tex]

Area of the yard that is not pat of the sandbox is (43[tex]x^{2}[/tex] - 26x) [tex]ft^{2}[/tex].

Answer:

Step-by-step explanation:

3

Answer:

no

Step-by-step explanation:

to be a right triangle the smaller two sides squared  & added together would equal the square of the longer side

does 5² + 6² = 8²?

25 + 36 = 61, not 64 so it is not a right triangle

Answer:

n=7

Step-by-step explanation:

71=10n+1

We move all terms to the left:

71-(10n+1)=0

We get rid of parentheses

-10n-1+71=0

We add all the numbers together, and all the variables

-10n+70=0

We move all terms containing n to the left, all other terms to the right

-10n=-70

n=-70/-10

n=7

Hope it helps

Answer:

The equation simplifies to n = 7.

Step-by-step explanation:

Hey there! We have an algebraic equation with the variable n. We want to solve for n. Therefore, we need to simplify the expression as much as we can.

To do this, we're going to notice we have two like terms in the equation:

These two terms can be combined to make one term. In order to do this, we're going to check which side of the equation has two terms.

We are going to then check the sign of the constant. As a reminder, constants are numbers without a variable attached to them.

We see our constant is 1 on the right side and it is positive due to it being added to 10n. Therefore, we are going to do the opposite and subtract it from 71.

This leaves us with a more simplified equation: 70 = 10n.

To make things easier, we're going to use the commutative property and switch the terms around. This will give us 10n = 70. It is easier to operate when our variable term is on the left side.

Now, we need to get our variable by itself. A coefficient is multiplying the variable by that value, so to reverse that, we must divide.

In addition to that, what we do on one side of the equation must be done on the other side of the equation.

[tex]\displaystyle \frac{10n}{10} = \frac{70}{10}[/tex]

This simplifies to n = 7, which is our final answer.