Calculate the values of a, b and c. Give reasons for your answers.
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There are 12 coins which are 20 cent each and 23 coins which are 50 cent each.

Let x represent the number of 20 cent ($0.2) coins

i) Since there are 35 coins in total:

Number of 50 cent coins = 35 - x

ii) The total value of the coins is $13.90. Hence:

0.2x + 0.5(35 - x) = 13.90

iii) 0.2x + 17.5 - 0.5x = 13.90

0.3x = 3.6

x = 12

Number of 50 cent coin = 35 - x = 35 - 12 = 23

Therefore there are 12 coins which are 20 cent each and 23 coins which are 50 cent each.

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Answer:

A) [tex]f(x)=5120(1.25)^x[/tex]

B) [tex]f(x)=4800(1.5)^x[/tex]

C) see below

Step-by-step explanation:

Part A

Hopefully this formatting looks ok:

| Weeks x | Views f(x) |

| ------------ | -------------- |

|      0        |     5120     |

|       1        |     6400    |

|      2        |     8000    |

|      3        |     10000   |

|      4        |     12500   |

|      5        |     15625   |

| ------------ | -------------- |

That's my attempt at a table.

We need an equation in the form of:

[tex]f(x)=a(b)^x[/tex]

where a is the starting value and b is the growth factor.

First, check the difference between each week:

[tex]6400 - 5120=1280\\8000 - 6400=1600\\10000 - 8000=2000\\12500 - 10000=2500\\15625 - 12500=3125\\[/tex]

Then, check the scale factor for each of the differences:

[tex]16000\div 12080 = 1.25\\2000\div 1600=1.25[/tex]

etc..

The difference grows by 1.25x each week. That is, a grow factor of 1.25.

Now that we have both the starting value and the grow factor, we can write the equation:

[tex]f(x)=5120(1.25)^x[/tex]

If you want to test it, for example, calculate for the 3rd week:

[tex]f(3)=5120(1.25)^3\\f(3)=5120(1.953125)\\f(3)=10000[/tex]

Part B

This is very similar to Part A. The starting value and growth factor are given this time, so all you need to do is write the equation with the new values.

[tex]f(x)=4800(1.5)^x[/tex]

Part C

The initial number of video views (5120) was more than the initial number of site views (4800), and the number of video views grew (1.25) by a smaller factor than the number of site visits (1.5).

The difference between the total number of site visits and the video views after 5 weeks is 20,825.

[tex]f(5)=5120(1.25)^5=15625 -video\\f(5)=4800(1.5)^5=36450-site\\36450-15625=20825[/tex]

The equation to model the relationship between the number of weeks and the number of views will be f(x) = 5120(1.25)^x

From the information given, the difference in the views will be:

6400 - 5120 = 1280

8000 - 6400 = 1600

10000 - 8000 = 2000

The scale factor will be:

= 1600/1280 = 2000/1600

= 1.25

Therefore, the growth factor is 1.25.

The equation to model the relationship between the number of weeks, x, and the number of site visits is 4800(1.5)^x.

Lastly, the difference between the total number of visits and the video views will be:

= 4800(1.5)^5 - 5120(1.25)^5

= 36450 - 15625

= 20825

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Answer:

Step-by-step explanation:

Numbers: HCF of 18 and 30

18: 2 * 3 * 3

30:2 * 3 * 5

HCF: 2 and 3 = 6

a: a * a and a.

HCF = a

b: b

c: c and c*c

HCF: C

Answer: 6*a*b*c(3a + 5*c)

Note: for this question one of the factors is the HCF and the other is what remains when the HCF is taken out.

Answer:

okkkkkkkķkkkkkkkkkkkkk

Answer:

Step 1: Remove parentheses by multiplying factors.

= (x * x) + (1 * x) + (2 * x) + (2 * 1)

Step 2: Combine like terms by adding coefficients.

(x * x) = x2

(1 * x) = 1x

(2* x) = 2x

Step 3: Combine the constants.

(2 * 1) = 2

Step 4: Therefore, Simplifying Algebraic Expression is solved as

= x2 + 3x + 2.

Step-by-step explanation:

A cube is 3- dimensional shape with 6 equal sides, 6 faces, and 6 vertices in geometry. ... In 3 – dimension, the cube's sides are; the length, width, and height.

Answer:

x+4 x<5

8 5<_x<7

2x -1 7<_x<_10

Answer:

B. 2x-3

Step-by-step explanation:

14 and 21 have a common factor which is 7 so divide both by 7 to get 2x-3.

Answer:

Perimiter would be 30cm

Step-by-step explanation:

3+3+6+3+6+3+6

Answer:

Slope = - ⅖

Y-intercept = (0, 4), where b = 4

Step-by-step explanation:

Given the linear equation in standard form, 2x + 5y = 20, where A = 2, B = 5, and C = 20:

Start by transforming the standard equation into its slope-intercept form, y = mx + b, where m = slope, and b = y-intercept.

Subtract 2x from both sides:

2x -2x + 5y = - 2x + 20

5y = -2x + 20

Divide both sides by 5 to isolate y:

[tex]\frac{5y}{5} = \frac{-2x + 20}{5}[/tex]

y = - ⅖x + 4 ⇒ This is the slope-intercept form where the slope, m = -⅖, and the y-intercept, b = 4.  The y-intercept is the point on the graph where it crosses the y-axis, and has coordinates of (0, b). The y-coordinate is the value of b in the slope-intercept form. Therefore, the y-intercept is (0, 4).

Answer:

you will half the recipe, so

50g flour

30g sugar

25g margarine

20g chocolate chips

1 egg

then add together. recipe for 15 cookies will be;

150g flour

90g sugar

75g margarine

60gr chocolate chips

3 eggs

Answer:

1 1/2 and -5 1/2

Step-by-step explanation:

if you add 3 1/2 to -2 you get 1 1/2

if you subtract 3/12 from -2 you get -5 1/2

Answer:

b=29 a=5.5 n=-13 r=12

Step-by-step explanation:

a: 5+8(4)=5+24=29

b: 3-5(-0.5)=3+2.5=5.5

c: 2(-2)^2-5=2(-4)-5=-8-5=-13

d= -3(-1-3)=-3(-4)=12

substitute the variable with the number and pedmas

variable is the letters in the equation: y=5+8x

Answer:

C) (12x-5)(2x-1)

Step-by-step explanation:

12x multiplies 2x to give 24x²

then 12x multiply -1 to give -12x

then -5 multiply 2x to give -10x

then -5 multiply -1 to give 5

that will be 24x²-12x-10x+5

our and =24x²-22x+5

Answer:

$24.75

Step-by-step explanation:

$8.25 is for 3. So triple that cost gets you $24.75

Answer:

Option A (3/4)

Step-by-step explanation:

Please mark Brainliest

Answer:

THATS CORREC T

Step-by-step explanation:

CAUSE A IS THE RIGHT ONE THE REST BIS WRONG BUT IT CAN E CONFUSING

Answer:

the last one none over lap

Answer:

Reminder: [tex]log _a x[/tex] answers the question: "what power do I have to raise a to in order to get x?"

Thus said.

[tex]1. \ 64= 2^6 = 4^3 \implies log_464=3\\2. \ 5^1 = 5 \implies log_55 = 1\\3.\ 3^1=3; \ 2^1=2 \implies Log_33 + log_22 = 1+1=2\\4.\ 5^1=5; \ 8^1=8 \implies log_55 - log_88=1-1=0\\5. \ 8=2^3; 32=2^5 \implies log_28+log_232 = 3+5=8[/tex]

Last one, if you already talked about log properties, can be handled as:

[tex]log_28+log_232= log_2(8\times32) = log_2256 =8\ (256=2^8)[/tex]

Given that

[tex]f(x) = -3\\\\\implies x^2 -5x +3 = -3 \\\\\implies x^2 -5x +6=0\\\\\implies x^2 - 3x -2x +6 =0\\\\\implies x(x-3) -2(x-3) =0\\\\\implies (x-2)(x-3)=0\\\\\implies x =2~ \text{or} ~ x =3[/tex]

Answer:

(2, - 3 ) and (3, - 3 )

Step-by-step explanation:

f(x) = x² - 5x + 3 and f(x) = - 3 , then equating

x² - 5x + 3 = - 3 ( add 3 to both sides )

x² - 5x + 6 = 0 ← in standard form

(x - 2)(x - 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

x - 3 = 0 ⇒ x = 3

solutions are (2, - 3 ) and (3, - 3 )

Answer:

Undefined

Step-by-step explanation:

I always like to take a good look at the points before I go about solving for the line. To me, it looks like this is going to be a vertical line. Why do I think that? Well, for each point, the x-value is -5. Since this is a linear function, every other point must also have an x-value of -5. So, our line would be straight up and down, going through the x-intercept (-5, 0). Let's try out this theory by subtracting our y-values and then our x-values, then dividing:

[tex]\frac{4-1}{-5-(-5)} =\frac{3}{-5+5} =\frac{3}{0}[/tex]

And that makes sense! Functions that show up as vertical lines are undefined, since their slopes always have 0 as a denominator, and anything divided by 0 turns out to be undefined. So, that's our answer - the slope is undefined.

Hopefully that's helpful! :)

Answer:

undefined

Step-by-step explanation:

(-5, 1) and (-5, 4) lie on the same vertical line.

A vertical line has undefined slope.

Answer:

The company filled 454570 bags.

Step-by-step explanation:

The statement that is true about a rhombus that is not true about all parallelograms are as follows;

Diagonals of a rhombus are perpendicular bisector of each other. This means they form a right angle where they intersect.

This is not true for parallelograms. The diagonal only bisects each other.

All sides are congruent for a rhombus .

This is not true for a parallelogram. Only opposite sides are congruent for a parallelogram.

The diagonal bisect the vertex angles of the rhombus.

This is not true for a parallelogram.

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Answer:

Step-by-step explanation:

4 magazines, and each magazines has 13 bullets:

4 bullets for each person:

Answer:

between 7.0 and 9.0 hours of sleep

Step-by-step explanation:

got it right

Answer:

A.) Yes

Step-by-step explanation:

Plug in (3,2) into both equations ....

2(3) - 3(2) = 0

2(3) + 2 = 8

Then solve ....

2(3) - 3(2) = 0

6 - 6 = 0

0 = 0

2(3) + 2 = 8

6 + 2 = 8

8 = 8

Since both equation are true the solution (3,2) is true

Answer:

First of all, let's multiply both sides by 5, clearing the denominators:

Then, as long as g is not zero, we can divide by g, and let's read right to left:

At this point, assuming F and g are either both positive or both negative, we can take the square root of both sides:

If h represent a quantity that is positive by it's nature (ie, the length of a segment) you can consider only the positive root, ie ignoring the plus or minus sign.

Answer:

The answer is 8!

Step-by-step explanation:

I took the quiz. Have a great day, hope this helps!

Answer:

y = (1/8)x

Step-by-step explanation:

The relevant basic formula is y = kx, where k is the constant of proportionality.

We must find k.  To do this, let y = 15/6 and x = 20 in the above formula:

15/6 = k(20)

We solve for k by dividing both sides by 20:  15/(6*20) = k = 1/8

Then the specific formula for this situation is y = (1/8)x

Answer:

Step-by-step explanation:

Given:

Let's first try to simplify ∠CAB in ΔABC. Then we can find the 'x' in ΔFDE with the help of ΔABC.

ΔABC = 108 + 48 + ∠CAB = 180°

=> 156 + ∠CAB = 180°

=> ∠CAB = 24°

=> 48 + 108 + 2x - 48 = 180°

=> 108 + 2x = 180°

=> 2x = 72°

=> x = 36°

So, after working on this problem, we can conclude that 'x = 36°' and 'y = 48°'. Hoped this helped.

Answer: x=36, y=48

Step-by-step explanation:

The sum of the angles in a triangle is 180.  From triangle ABC we see that:

108 + 48 + Z = 180, where Z is the unknown third angle.

156  + Z = 180

Z= 24 (angle CAB).

Since the triangles are similar, we can say angle EDF(y) is equal to angle CAB (48).  Thus,

y = 48

we can also say that angle CAB is the same as angle DFE:

24 = (2x-y)  

24=2x-48

72=2x

x=36

Answer:

link

Step-by-step explanation: