The sum of two numbers is 10. Their difference is 6. What are the two numbers? ​

FORMULA FOR COMPOUND INT. = A = P ( 1 + [tex]\frac{R}{100}[/tex])[tex]^{n}[/tex]

= P = 2000, R = [tex]\frac{5}{12}[/tex] ( as it is compounded monthly ), N= 8 × 12 = 96

= A = 2000 [tex]([/tex] 1 + [tex]\frac{5}{1200}[/tex] [tex])^{96\\}[/tex] = [tex]\frac{2000}{1}[/tex] × ([tex]\frac{1205}{1200}[/tex]) [tex]^{96}[/tex]

= 2981.17

Answer:

x < -27

-4.5 > m/6

Step 1: Simplify both sides of the inequality.

-4.5 > 1/6 m

Step 2: Flip the equation.

1/6 m < −4.5

Step 3: Multiply both sides by 6.

6* ( 1/6 m ) < (6)* ( −4.5 )

m <− 27

Answer:

E

Step-by-step explanation:

Answer:

$4,711.31

Step-by-step explanation:

Calculation for Jennifer's monthly gross pay

First step is to calculate The total tax percentage deductions

Using this formula

Total tax percentage deductions =State tax + City tax + Social security + Medicare

Let plug in the formula

Total tax percentage deductions = 3.5% +2.5% +6.2% +1.45%

Total tax percentage deductions = 13.65%

Now let calculate the monthly gross pay

Monthly gross pay= ($3,981.22 +87)/(1-13.65%)

Monthly gross pay= ($3,981.22 +87)/0.8635

Monthly gross pay=$4,068.22/0.8635

Monthly gross pay= $4,711.31

Answer:

2 miles

Step-by-step explanation:

because they completed the loop twice:1x2=2

Answer:

tw0 miles.

Step-by-step explanation:

if its 0ne mile l0ng, and the went around twice, it w0uld be tw0 miles :>

Answer:

Mark needs 2 kg butter, 2 kg caster sugar, 14 eggs, and 1.5 kg flour.

Step-by-step explanation:

Alright, first you double the number of kids, as Mark wants each kid to have two cupcakes, not one. (Then add 80+80 to get 160)

Now add the adults to children: 160+152=312

now divide by 12 to see how many batches of cupcakes he needs to make.

312÷12=26 So he needs to make 26 batches

Now here are the ingredients needed to make 12 batches of cupcakes (I multiplied the amount of each ingredient by 26)

5200 g (5.2 kg) butter, 5200 g (5.2 kg) caster sugar, 104 eggs, and 6500 g (6.5 kg) flour.

now make the measurements the same as Mark's ingredients (or the other way around)

(to save time I am not showing each one, just the normal ingredients turned into kg and compared)

5 kg butter < 5.2 kg butter

5 kg caster sugar < 5.2 kg butter

90 eggs < 104 eggs

5 kg flour < 6.5 kg flour

Now do a little subtraction.....

5.2 kg-5 kg = 2 kg butter is needed....

5.2 kg - 5 kg = 2 kg caster sugar is needed....

104 - 90 = 14 eggs needed....

6.5 kg - 5 kg = 1.5 kg flour needed....

And there you go!!! Hope this helped!!! :D

The amount of ingredients that Mark still requires after getting it from the kitchen is needed.

The amount of ingredients Mark still needs is

200 g of butter

200 g of caster sugar

14 eggs

1500 g of flour

The number of cupcakes that are needed for 152 adults and 80 children is

[tex]152+2\times 80=312[/tex]

For the 12 cupcakes the ingredients are

200 g butter

200 g caster sugar

4 eggs

250 g flour

For 1 cupcake the ingredients are

[tex]\dfrac{200}{12}=\dfrac{50}{3}\ \text{g}[/tex] of butter

[tex]\dfrac{200}{12}=\dfrac{50}{3}\ \text{g}[/tex] of caster sugar

[tex]\dfrac{4}{12}=\dfrac{1}{3}[/tex] eggs

[tex]\dfrac{250}{12}=\dfrac{125}{6}\ \text{g}[/tex] of flour

For 312 cupcakes

[tex]312\times \dfrac{50}{3}=5200\ \text{g}[/tex] of butter

[tex]312\times \dfrac{50}{3}=5200\ \text{g}[/tex] of caster sugar

[tex]312\times \dfrac{1}{3}=104[/tex] eggs

[tex]312\times \dfrac{125}{6}=6500\ \text{g}[/tex] of flour

The required ingredients are

[tex]5200-5000=200\ \text{g}[/tex] of butter

[tex]5200-5000=200\ \text{g}[/tex] of caster sugar

[tex]104-90=14[/tex] eggs

[tex]6500-5000=1500\ \text{g}[/tex] of flour

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Answer:

47

Step-by-step explanation:

Answer:

(4x+7)(4x+7)

Step-by-step explanation:

The equation that can be used to find the sale price ,s, of an oil change would be =s= 0.85 (30). That is option 3.

A sale price of a product is defined as the cost of that product which shows its value in the market or economy.

The oils change at city auto = $30

The percentage of coupon that Mr Allen has = 15% of $30

That is;

= 15/100 × 30

= 450/100

=$ 4.5

= 30-4.5 = $25.5

The sale price = $25.5 which is the same as 0.85 (30) since 100-15 = 85%= 0.85

Learn more about percentage here:

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Complete question:

An oil change at city auto is regularly $30 Mr. Allen has a coupon for 15% off.

Which equation can be used to find the sale price, S, of an oil change?

The phrase describes a transformation of the graph of function to create the graph of function h is vertically stretched.

The answer is option D. vertically compressed.

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Answer:

46

Step-by-step explanation:

because its a simple explaination

Answer:

51%

Step-by-step explanation:

2hey mate is thats the answer

Answer:

16 and 7

Step-by-step explanation:

48/3 = 16.   16 = 16/1

56/8 = 7.     56/8 = 7/1

Answer:

7

Step-by-step explanation:

hope it helps

Answer:

7x + 5y = C

Step-by-step explanation:

Answer:

18 children

Step-by-step explanation:

4x$7=$28

$118-$28=90

90 divided by $5

Answer:

52

Step-by-step explanation:

given: m = 5, n = 4

10m + n2/4

substuting :

10(5) + (4)2/4

50 + 8/4

50 + 2

52

Answer:

16

Step-by-step explanation:

Answer:

2(1/4)^2

Step-by-step explanation:

Hope it helps you in your learning process.

Answer:

Step-by-step explanation:

90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you

Answer:

5. =8

6= x=20 ur welcome

Answer: x = 8, x = 5

Step-by-step explanation:

first problem: first, we collect like terms

3x + 3 = 2x + 11

then, we move the terms around.

3x - 2x = 11 - 3

finally, we collect those like terms and calculate.

x = 8

second problem: first, we rewrite the expression

2 x 3x + 1 = 2x + 21

then, we calculate.

6x + 1 = 2x + 21

next, we move the terms,

6x - 2x = 21 - 1

then, we collect the like terms.

4x = 20

finally, we divide both sides.

x = 5

Answer:

4 2/3!

Step-by-step explanation:

Answer: [tex]4 \frac{2}{3}[/tex]

Step-by-step explanation:

Lets start by subtracting 6 by 1.

                  6 - 1 = 5

Now we need to subtract 1/3 by 2/3. Which means we will need to take one from the 5 and add it to the 1/3. So we get [tex]1 \frac{1}{3}[/tex]. Now we subtract 1 1/3 by 2/3. The answer to that is 2/3.

So our answer is 4 2/3

Answer:

6.99

Step-by-step explanation:

11.99+2.99+5.99=20.97

20.97/3=6.99

Answer:

11.5 in

Step-by-step explanation:

The radius is half the diameter

23/2=11.5

If a circle has a diameter of 23 inches, then the radius will be 12.5 inches.

The radius is half of the diameter of the circle, for calculating radius we can divide the diameter of the circle by 2.

Given that,

The diameter of the circle is equal to 23 inches.

d = 23 inches

It is known that,

The radius is half of the diameter of the circle,

so it can be written in the form expression as:

r  = D/2

D = 23 inches

r  = 23/2

  =  12.5 inches

Hence, the radius of the circle 12.5 inches.

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Answer:

Parent function is f(x) in all following questions. The coefficients can be replaced with numbers you want but within restriction provided.

Q21

Q22.

Q23

Q24

Q25

Answer:

Q21

y = f(-x + 5)

Q22.

y = kf(x) + 4, k > 1

Q23

y= - f(kx), k > 1

Q24

y = kf(x + 2), 0<k<1

Q25

y = kf(px), 0<k<1 and p>1

Answer:

2

Step-by-step explanation:

-8 + 10 = 2

12 - 10 = 2

Therefore it is in the middle lol.

Answer:

B, D, E

Step-by-step explanation:

As Samuel adds money to his account we are multiplying the times he adds with 12 therefore x multiplied by 12 will give us the total he added + 60 the original number.

As of D the position does not matter because B and D are both the same.

For E if we distribute or multiply 12 into the brackets we get the same statement as that of B and D.

A does not work because he is adding 12 dollars into the account everytime and not 60 dollars, C doesn't work because we would be subtracting the amount he is adding so we would be removing the money from the bank.

Answer:

140 degrees

Step-by-step explanation:

A straight line is 180 degrees and since we are given 40 degrees of that acute angle, we know that whatever the missing angle degree is, it cant be over 180 degrees or less than 40 degrees. So we take our full measure 180 and subtract 40 because that's what is given.

Answer:

Area of B =80

I hope it's helps you