Abdul sells Health magazines and books.
The table shows prices for both.
Magazines
£7
Books
£12
h
Each week Abdul earns:
£150 basic pay
10% of the magazine price for each sold
15% of the book price for each sold
Last week Abdul sold 50 magazines and 21 books.
Work out the total amount Abdul earned last week.​

Answer:

33n - 13

Step-by-step explanation:

20, 53, 86?

That's an arithmetic sequence with the common term being 33.

The explicit formula? 33n - 13. :)

Answer:

subtract 12 to form the identity (0) and cancel the 12.

Step-by-step explanation:

Subtract 12 from both sides.

8x=52−12

2 Simplify 52-1252−12 to 4040.

8x=40

3 Divide both sides by 88.

x=\frac{40}{8}

40/8

simplify 40 over 8 to 5

x=5

Answer:

×=5

Step-by-step explanation:

-12 both sides

then divide 8 both sides

40/8 =5

9514 1404 393

Answer:

  D. P(-4,4) and S(-3,-2)

Step-by-step explanation:

The first coordinate is the number of units right of the vertical y-axis. Point P is 4 units left, so has an x-coordinate of -4. (Eliminates choices A and B)

The second coordinate is the number of units above the horizontal x-axis. Point P is 4 units up, so has a y-coordinate of +4. (Eliminates choice C)

The coordinates of points P and S are ...

  P(-4,4) and S(-3,-2) . . . . . matches choice D

Answer:the answer is  D. P(-4,4) and S(-3,-2)

Step-by-step explanation:took the test and got it right

Answer: 1 1/7

Step-by-step explanation: 3/7 - 2/7 = 1/7

here the  answer  here you  Step-by-step explanation:

here an the 1 1/7

Answer:

The first one cannot be simplified

reason: usually when simplifying an expression you combine like terms but in the given expression there are no like terms

An example of like terms would be 6a and 9a

Essentially what i am saying is that the variables have to be the same in order for them to be combined

The second one is 36r

This is the answer because they tried to combine like terms that aren't similar

r and f are not the same variable therefore they cannot be combined

Hope this helps :)

Step-by-step explanation:

Create a right triangle with the hypotenuse = 2400in (same as 200ft) and angle from horizontal =15 degrees

you can create the equation to find the opposite line (y-value)

2400sin(15) =

621 in

Answer:

Option 2 , 4 & 5 are true.

Step-by-step explanation:

● Option 2 is equivalent to a² + b² = c².

● Option 4 & 5 can be found by :-

Answer:

0.625

Step-by-step explanation:

We are told that the agent has 8 keycards.

We are also told that only one of the keycards can open each home.

Now, if the agent took 3 out of the 8 keycards with him, it means that;

Probability of opening by the keycards = ⅜

We are told that 40% or 0.4 of these homes were left unlocked.

This means that 60% or 0.6 are those that will require a key card.

Thus, probability of agent getting into a specific home is;

P(agent getting into a specific home) = 0.4 + 0.6(⅜)

P(agent getting into a specific home) = 0.4 + 0.6(0.375) = 0.625

Answer:

86.7cm

Step-by-step explanation:

((5.95x5.1)/2)x4=60.69

5.1x5.1+60.69=86.7cm

good luck!

Answer:

A: He had $147.85 more in credits than in debits.

Step-by-step explanation:

Answer:

x = 55

Step-by-step explanation:

First set the equations to equal eachother since theyre corresponding.

3x - 60 = x + 50

Then just solve for x.

3x - 60 = x + 50

     +60       +60

3x = x + 110

-x    -x

2x = 110

/2      /2

x = 55

Answer: 8, 2 1/6, 50, 90, 7

Step-by-step explanation:

1. Average speed = Distance/Time taken for entire trip

(10 * 3 + 2 * 1)/(3+1) = 32/4 = 8 mph

2. 6 1/4 = 25/4  9 3/8 = 75/8  (75/8)/(25/4) = 3/2

x = 3/2 + 2/3 = 13/6 = 2 1/6

3. Let's say there are x quarters in the collection, there would be 3x nickels, 2x dimes, and x quarters in the collection. The collection would be worth

3x * 5 + 2x * 10 + x * 25 = 300 cents

Solve for x to get x = 50 so there are 50 quarters in the collection

4. Sam has drove 2 * 45 = 90 miles so he has 90 miles remaining. Let's say he has to drive x hours to make his average speed 60 mph, we can use this equation to find how long he has to drive

(90+90)/(x+2) = 60 and x = 1

He has to drive 90 miles/1 hour = 90mph to make his average speed 60 mph.

5. Let's say you have to run x mph to satisfy the requirements, we can use the equation

(1.5*3+0.5*x)/(1.5+0.5) = 4 and x = 7 so you have to run 7 mph in the next 0.5 hours to satisfy the requirements

Answer:

x<3 and x<5

Step-by-step explanation:

Given the quadratic inequality x² - 8x + 15 <0, to get the solution set for the inequality, the following steps must be followedStep 1: Factorize the quadratic expression

x² - 8x + 15 <0

x² - 3x - 5x + 15 <0

x(x - 3) - 5(x - 3)  <0

(x -3)(x -5)< 0

x -3<0 and x -5<0

x< 3 and x< 5

when the discriminant is = 0

Answer:

Step-by-step explanation:

The diameter of a circle is twice the radius, so the statement is false.

Answer:

12 yards and 1 foot

Step-by-step explanation:

[tex]Your[/tex] [tex]answer[/tex] [tex]would[/tex] [tex]be.[/tex]

[tex]17[/tex] [tex]because[/tex] [tex]you[/tex] [tex]needed[/tex] [tex]to[/tex] [tex]subtract[/tex] [tex]37 and20[/tex]

[tex]- Yaoii[/tex]

Answer:

The surface of the rectangular prism is 42

l × w × h

The length is 3 width is 2 and the height is 3.

Hope this helps have an awesome day❤

Answer:

Not a right triangle. A right angle needs a 90 degree angle.

Answer:

Step-b

Mini conclusion: if we randomly select a sample of 25 students, there is a 95% probability that the mean score is between 64.08 and 71.92.y-step explanation:

Answer: it should be 5+3+4+11=23

Step-by-step explanation: when you look for the volume you add all the numbers. hope it helps :)

plz mark as branlist

Answer: C

Step-by-step explanation:

The first 2 letters match but the third one doesn’t and S= match so it is SSA

Answer:

3^4

Step-by-step explanation:

3 to the power of 4

Answer:

I think an answer would be 3 to the third or fourth power

or

9x9

Step-by-step explanation:

3x3 = 9 so if you split it up you have two 3x3s

9x9

Answer: 4.27% of adults in the USA have stage 2 high blood pressure.

Step-by-step explanation:

Let x be a random variable that denotes a person with high blood pressure .

Given: Average blood pressure: [tex]\mu=122[/tex]

Standard deviation: [tex]\sigma=22[/tex]

Someone qualifies as having Stage 2 high blood pressure if their systolic blood pressure is 160 or higher.

The probability that an adult in the USA have stage 2 high blood pressure:

[tex]P(x\geq160)=P(\dfrac{x-\mu}{\sigma}}\geq\dfrac{160-122}{22})\\\\=P(z\geq1.72)\ \ \ [z=\dfrac{x-\mu}{\sigma}]\\\\=1-P(z<1.72)\\\\=1-0.9573\ \ [By\ p-value\ table]\\\\=0.0427=4.27\%[/tex]

Hence, 4.27% of adults in the USA have stage 2 high blood pressure.

Given:

The quadratic equation is

[tex]y=3x^2-18x+15[/tex]

To find:

The x-coordinate and y-coordinate of the vertex.

Solution:

If a quadratic function is defined by [tex]f(x)=ax^2+bx+c[/tex], then the vertex is defined as:

[tex]Vertex=\left(\dfrac{-b}{2a},f(\dfrac{-b}{2a})\right)[/tex]

If [tex]a<0[/tex], then the function has a maximum at the vertex and ff [tex]a>0[/tex], then the function has a minimum at the vertex.

We have,

[tex]y=3x^2-18x+15[/tex]

Here, [tex]a=3,b=-18,c=15[/tex].

Since [tex]a=3>0[/tex], therefore the function has a minimum at the vertex. So, fill min in first blank.

Now,

[tex]\dfrac{-b}{2a}=\dfrac{-(-18)}{2(3)}[/tex]

[tex]\dfrac{-b}{2a}=\dfrac{18}{6}[/tex]

[tex]\dfrac{-b}{2a}=3[/tex]

Putting x=3 in the given function, we get

[tex]y=3(3)^2-18(3)+15[/tex]

[tex]y=27-54+15[/tex]

[tex]y=-12[/tex]

Therefore, the vertex is at point (3,-12).

Since 0° < θ < 90°, you know that cos(θ) > 0.

Recall that

1 + tan²(θ) = sec²(θ)

and also that

sec(θ) = 1/cos(θ)

So if cos(θ) > 0, we also have 1/cos(θ) = sec(θ) > 0.

Then

sec(θ) = + √(1 + tan²(θ))

sec(θ) = √(1 + (7/8)²)

sec(θ) = √113 / 8

so that

cos(θ) = 1 / (√113 / 8) = 8 / √113

Answer:

x+64= 90

x = 90 - 64

x = 26°

thanks

Answer:

120

Step-by-step explanation: