Alice earns £450 in wages per month. She pays £200 in rent per month. Next month, • her wages will increase by 2% • her rent will increase by 5% She says “The increase in my wages will pay for the increase in my rent” Is she correct? You must show your working.

Answer:

40%

Step-by-step explanation:

Step 1: 175-125-50

Step 2: 50/125=0.4=40%

Answer:

40% profit

Step by step explanation:

There is a profit of $50.

If you were to find the percentage, you would divide 50 by 125. This would give you 0.4

Answer:

They both would cross each other again in the next 5 minutes

Step-by-step explanation:

The first thing to do here is to calculate the lowest common multiple of the average speed of both drivers.

That would be the lowest common multiple of 1.2 miles per minute and 1.8 miles per minute.

That would be 3.6 miles per minute.

Now to get the time at which they would cross each other again, we simply divide the total distance around the circular track by the lowest common multiple of their average speed.

That would be 18/3.6 = 5

This means they would cross each other again in the next 5 minutes

Answer:

(3 7/8, 2 3/4)

Step-by-step explanation:

To find the midpoint, the formula is (x1-x2)/2 and (y1-y2)/2. So, in this case, our x1 is 4 1/2 and our x2 is -3 1/4. Subtract x2 from x1 and you will get 7 3/4. Then, divide by 2 to get 3 7/8. This is our x-coordinate.

Our y1 is 3 3/4 and our y2 is -1 3/4. Subtract y2 from y1 to get 5 1/2. Then divide by two to get 2 3/4. This is our y-coordinate.

Now we have our x and y coordinates.

(3 7/8, 2 3/4)

Answer:

(x+6) (x+6)

Step-by-step explanation:

x^2 + 12x+36

What 2 numbers multiply to 36 and add to 12

6*6 = 36

6+6 =12

(x+6) (x+6)

Answer:

[tex](x + 6)(x + 6)[/tex]

Step-by-step explanation:

[tex]36 + 12x + {x}^{2} \\ {x}^{2} + 12x + 36 \\ {x}^{2} + 6x + 6x + 36 \\ x(x + 6) + 6(x + 6) \\ = (x + 6)(x + 6)[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

1,200

Steps down below

Step-by-step explanation:

Steps

1:  48=4% loaded on truck and they have 96% left to load

2: so set up a proportion and it should look like this

3: 48 over x = 4 over 100

4: 48/x=4/100

6: do cross multiplication 100×48= 4,800÷ 4 = 1,200 total on truck

Answer: 1,200 total on truck

Hope this helps.

Answer:

6859 is not perfect cube.

Step-by-step explanation:

First we will find all factors under the cube root: 6859 has the cube factor of 361. Let's check this width ∛361*1=∛6859. As you can see the radicals are not in their simplest form. Now extract and take out the cube root ∛361 * ∛1. Cube of ∛361=19 which results into 19∛1 All radicals are now simplified.

 hope it helps

Answer:

5^-2 ^2

and 5^2 * 5^-6

Step-by-step explanation:

There are 4 (1/5)'s multiplied together so

(1/5) ^4 = 1^4 / 5^4 = 5^-4

and

we know that 5^-2 ^2 = 5^(2*-2) = 5^-4

and 5^2 * 5^-6 = 5^(2-6) = 5^4

Answer:

A and D

Step-by-step explanation:

[tex](5^{-2})^{2}=5^{-2*2}=5^{-4}=1/{5^{4}}\\\\5^2*5^{-6}=5^{-6+2}=5^{-4}=1/{5^{4}}[/tex]

Answer:

point and line

Step-by-step explanation:

Hey there! :)

Answer:

m∠8 = 30°.

Step-by-step explanation:

Since AB || CD, m∠4 = m∠8 because they are corresponding angles. Therefore:

If m∠4 = 30°, m∠8 = 30°.

Answer:

30 = <8

Step-by-step explanation:

<4 and <8 are corresponding angles and corresponding angles are equal when the lines are parallel

<4 = <8

30 = <8

Answer:

Step-by-step explanation:

9x^2 + 24x + 16 = 0

(3x + 4)(3x+4)=0

3x + 4 = 0

3x = -4

x = -4/3

3x + 4 = 0

3x = -4

x = -4/3

｡☆✼★ ━━━━━━━━━━━━━━  ☾  

Let's form some equations:

I'll refer to Joyal's age as 'x'

Therefore, his mother's age is '3x'

Here is the equation we create:

x + 5 + 3x + 5 = 66

Simplify this:

4x + 10 = 66

- 10 from both sides:

4x = 56

/4 on both sides

x = 14

3(14) = 42

So, currently Joyal is 14 and his mother is 42

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

｡☆✼★ ━━━━━━━━━━━━━━  ☾

Answer:

False

Step-by-step explanation:

Cost is not a complete ways to compare different modes.  We also need to look at the time of each mode of transportation.  Walking is very cheap  (the cost of shoes and water)  but would take a very long time.  We would also have to look at the convenience factor.  The bus may be cheap but it may not run when and where you need it.

It is, that would be true

Answer:

m = 13

Step-by-step explanation:

To isolate the variable, you undo what is being done to it. Here, we have the variable being multiplied by 7, hence, we divide both sides by 7 and the result is the variable isolated and solved.

1. 7m = 91

2. (7m)/7 = 91/7

3. m = 13

Hope this helps! (Please consider giving brainliest)

Answer:

-385

Step-by-step explanation:

If -5 = x, then f(x) = -15-365-5 which is -385.

Answer:

45

Step-by-step explanation:

1/6 of 54= 9

9*5=45

Answer:

The series converges to -1.5.

Step-by-step explanation:

This is a geometric series, so it converges if the number in parenthesis is between -1 and 1.

-1 < -3/5 < 1, so the series converges by the geometric series test.

Now we can plug this into the calculator (on TI-84, it's Math->0 summation) to find that the sum is -1.5. You can use 100 or another big number as a placeholder for infinity.

Answer: a=3, b=3

Step-by-step explanation:

Let's rewrite this expression on the left side so that it matched the form on the right side.

[tex]\frac{(2xy)^4}{4xy}=\frac{16x^4y^4}{4xy}=4x^3y^3[/tex]

Now, you can see the left side matches the same form as the right side.

4x³y³=4xᵃyᵇ

Since they're the same equation, a=3 and b=3.

Answer:

Subtract 2 from each side

Step-by-step explanation:

3x + 2 = 12

Subtract 2 from each side

3x+2-2 =12-2

3x = 10

Answer: 5 branches and 16 birds.

Step-by-step explanation:

If the number of birds is B, and the number of branches is N.

First we have the equation:

B = 3*N + 1

(3 birds per branch + 1 that was flying around)

for the second equation we have:

B = 4*(N - 1)

(4 birds per branch, but one branch had no birds on it, so there are N -1 branches used)

now we can write:

3*N + 1 = 4*(N - 1)

3*N + 1 = 4*N - 4

4 + 1 = 4*N - 3*N

5 = N

So we had 5 branches, now we can replace it in one of the equations and find the number of birds.

B = 3*N + 1 = 3*5 + 1 = 16

Answer:

deposition

Step-by-step explanation:

Answer:

108!

Step-by-step explanation:

The area of a trapezoid is

1/2 x h x (b1 + b2)

plug it in!

24 x 1/2 x 9

12 x 9

108

Answer:

D, a 25 percent discount means the item is at 75 % of what it used to be.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The answer is D. D is showing the actual discount, not the total price with the discount.

Hope this helps! (Please consider giving brainliest)

Answer:

the X axis

Step-by-step explanation: The independent variable belongs on the horizontal x-axis, and the dependent variable belongs on the vertical y-axis.

Answer:

The y-axis.

Step-by-step explanation:

In this case, the number of packs of pencils determines the number of pencils you have. Remember that the x-axis is the independent variable and y-axis is the dependent variable.

Hope this helps!!! PLZ MARK BRAINLIEST!!!

Answer: 1250

Step-by-step explanation:

Let x be the cost before vat

13/100x = 162.50

x = 162.50 x 100/13

x = 162.50 / 2.13

x = 1250

Answer:

D. both functions are increasing but g increases at a faster rate

Step-by-step explanation:

if you compare points of f(x) and g(x)

g(x) is:

(-1,-52)

( 0, -16)

(1, -4)

(2,0)

If you plot the points f(x) is above then equal and  then below g(x)

Answer:

value of

a = 1

b = 2

c =1

and equation is

y = x² + 2x + 1

Step-by-step explanation:

Given quadratic equation  y = ax² + bx + c

It has  y-intercept of (0, 1)

thus, point (0,1) will satisfy equation  y = ax² + bx + c.

putting 1 in place of y and 0 in place of x in equation  y = ax² + bx + c we have

1 = a*0² + b*0 + c

c = 1

Thus, equation until now is y = ax² + bx + 1

____________________________________________________

The parabola also goes through the points (2, 9) and (-5, 16)

point (2, 9) will satisfy equation  y = ax² + bx + 1.

putting 9 in place of y and 0 in place of 2 in equation  y = ax² + bx + 1 we have

9 = a*2² + b*2 + 1

9 = 4a+2b+1

=>4a+2b = 9-1 = 8

dividing both side by 2 we have

4a/2+2b/2  = 8/2

=> 2a + b = 4

b = 4-2a

____________________________________________________

The parabola also goes through the points (2, 9) and (-5, 16)

point (-5, 16) will satisfy equation  y = ax² + bx + 1.

putting 9 in place of y and 0 in place of 2 in equation  y = ax² + bx + 1 we have

16 = a*(-5)² + b*(-5) + 1

16 = 25a-5b+1

=>25a-5b = 16-1 = 15

dividing both side by 5 we have

25a/5-5b/5 = 15/5

=> 5a - b = 3

second equation is 5a - b = 3

substituting value of b as 4-2a from first equation we have

5a - (4-2a) = 3

=> 5a - 4+2a = 3

=> 7a = 3+4 = 7

=> a = 7/7 = 1

value of b is 4-2a

substituting value of a as 1 in 4 - 2a we have

b = 4 - 2*1 = 4-2 = 2

Thus,

value of

a = 1

b = 2

c =1

and equation is

y = x² + 2x + 1

Answer:

QS ≈ 4.71 units

Step-by-step explanation:

The arc QS is calculated as

QS = circumference of circle × fraction of circle

     = 2πr × [tex]\frac{90}{360}[/tex] ( r is the radius )

     = 2π × 3 × [tex]\frac{1}{4}[/tex]

     = 6π × 0.25 ≈ 4.71 units ( to the nearest hundredth )

Answer:

-1/2

Step-by-step explanation:

Im not going to go into detail about how to compute sin30 and cos 30, but know that sine and cosine are just the ratios between the sides of a 30-60-90 triangle with a hypothenuse of 1.

With that being said:

sin^2 30 - cos^2 30

=  (1/2)^2 - ((sqrt3)/2)^2

= 1/4 - 3/4

= -1/2

Answer:

-1/2

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

3 - (-2)

Subtracting a negative is like adding

3+2

5