hello could anyone help me

Let "x" represent the age of Brian.

Andrew is elder than Brian by 2 years, we can symbolize his age as "x+2"

Frank is twice as old as Andrew, we can symbolize his age as "2(x+2)"

Sarah has half the age of Brian's, we can symbolize her age as "x/2"

Frank ans Sarah's ages differ by 40 years, we can symbolize this as:

Solve the term is parenthesis

x=24 years

Andrew's age is

Andrew is 26 years old

Step-by-step explanation:

s1 = 5

s2 = s1 × -2 = 5×-2 = -10

s3 = s2 × -2 = -10 × -2 = 20

...

now, we could do all that manually.

but there is also a formula for geometric sequence.

in fact, there are 2 - one for finite and one for infinite sequences.

and I was not completely honest, each of these 2 had some sub-forms depending on the size of the multiplier or ratio.

since we need the sum of the first 5 terms, which of the 2 do you think we need ?

of course, finite, because 5 is a normal number we can "touch". it is not infinity.

so, the formulas for finite sums of geometric sequences are :

if |r| < 1, Sn = a(1 - r^n)/(1 - r)

if |r| > 1, Sn = a(r^n - 1)/(r - 1)

if r = 1, Sn = na

if r = -1, then Sn = a or 0 depending on if n is odd or even.

the sequence is in general

s1 = a

sn = sn-1 × r

in our case a = 5, r = -2.

so, what form of the formula do we need ?

|-2| = 2, and 2 > 1, so ...

S5 = 5(-2^5 ‐ 1)/(-2 - 1) = 5(-32 - 1)/-3 = 5×-33/-3 =

= 5 × 11 = 55

quick check, as the 5 terms are

5

-10

20

-40

80

and their sum is : 55

correct !

Answer:

HMMM. LET ME THINK everything will be okay

At least you ate a nice healthy meal.

Also, if you can find some fresh pants or you can go to the bathroom and grab paper and wet it and it may take out the stain

REMEMBER EVERYONE HAS BAD DAY INCLUDING MYSELF

HAVE A NICE DAY :)

Step-by-step explanation:

The function which passes from (1,4) and (5,1) is y= -7/20x² + 27/20x   +3

and the net change between the indicated points is -3, whereas the average rate change is -3/4.

Given, from the graph, the function passes (1,4) and (5,1).

Let y = ax² + bx + 3

from point 1.

the equation is: a + b+ 3 = 4 eq(1)

from point 2.

the equation is 25a + 5b + 3 = 1 eq(2)

solving equation 1 and equation 2.

we get, 20b = 99-72

20b = 27

b = 27/20

substitute b value in equation 1.

a + 27/20 + 3 = 4

20a = -7

a = -7/20

hence y = -7/20x² + 27/20x +3

(a) net change = change in y coordinates.

net change = y₂ - y₁

net change = 1 - 4

= -3

(b) Average rate = change in y coordinates / change in x coordinates

= 1 - 4/5-1

= -3/4

hence  we get the required answers.

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The company spends making tablets each year, you can multiply the number of tablets by the cost per tablet so the company spends about $500 million making tablets each year.

Its origins lie in the Latin word moneta, which was given to the Roman goddess Juno, at whose temple or close by, or both, the Romans first started minting coins approximately 300 BCE.

We may multiply the quantity of tablets produced by the cost of producing each tablet to see how much money the company spends annually making tablets:

Total cost = Production of tablets x Price per tablet

Number of tablets produced =\(2.5 × 10^7\)

Cost per tablet = $20

Therefore, the total cost = \(2.5 × 10^7 × $20 = $5 × 10^8\)

As a result, the corporation spends over $500 million annually producing tablets.

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Answer:

OK, Here is your answer

Step-by-step explanation:

Let's assume the capacity of the drum be C litres.Since the drum is initially 3/4 full, the amount of water in it is 3/4 × C = (3/4)C liters.When 9 liters of water are drawn from the drum, the remaining amount of water is (3/4)C - 9 liters.Since the drum is now half full, the amount of water remaining in it is (1/2)C liters.Therefore, we can write the equation: (3/4)C - 9 = (1/2)CTo solve for C, let's first get rid of the fractions by multiplying both sides by 4.(3/4)C - 9 = (1/2)C → 3C - 36 = 2C → C = 36Therefore, the capacity of the drum is 36 liters.Hence, the drum holds 3/4 × 36 = 27 liters of water initially and after 9 liters of water are drawn, the remaining amount of water in it is 27 - 9 = 18 liters.

Answer:

18 Lieters.

Step-by-step explanation:

found the answer in his answer. ↑↑↑↑

Answer:

The equation of the line that passes through the points (7,-8) and (2, -8) is \(\mathbf{y=-8}\)

Step-by-step explanation:

We need to write the equation of the line that passes through the points (7,-8) and (2, -8).

We need to write answer in fully reduced point-slope form, unless it is a vertical or horizontal  line.

The general equation of point-slope form is: \(y-y_1=m(x-x_1)\)

where m is slope of the line.

To find the slope, we can use formula: \(Slope=\frac{y_2-y_1}{x_2-x_1}\)

We have \(x_1=7,y_1=-8,x_2=2, y_2=-8\)

Putting values and finding slope:

\(Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-8-(-8)}{2-7}\\Slope=\frac{-8+8}{-5}\\Slope=\frac{0}{-5}\\Slope=0\)

So, we find the slope : m = 0

Now, using the point (7,-8) and slope m =0, the required equation is:

\(y-y_1=m(x-x_1)\\y-(-8)=0(x-7)\\y+8=0\\y=-8\)

So, the equation of the line that passes through the points (7,-8) and (2, -8) is \(\mathbf{y=-8}\)

The capacity of this swimming pool is between B. 500 gallons to 1,000 gallons.

Capacity refers to the product of the length, width, and height of a three-dimensional object or space.

The capacity of an object means the same as its volume.

Olympic-size swimming pools have the following standard dimensions:

Length = 50 m

Width = 25 m

Height = 2 m

Capacity of an Olympic swimming pool = 2,500 m³ (50 x 25 x 2)

= 660,000 gallons (2,500 x 1,000 ÷ 3.785)

An interval estimate shows the lower and upper limits.

6 x 105 gallons = 630 gallons

Thus, the capacity of the swimming pool is Option B.

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A. 100 gallons to 500 gallons

B. 500 gallons to 1,000 gallons

C. 1,000 gallons to 1,500 gallons

D. 1,500 gallons to 2,000 gallons

Answer:

1.  A positive

2. 0/zero

3- Positive

4- Positive and negative numbers

5- Positive numbers

I'm not too sure but I hope this helps.. you can wait for another answer to be sure

Answer:

2.625

Step-by-step explanation:

If it is supposed to be answered in fractional form convert into a fraction then simplify, but this is decimal.

The interquartile range of this data, in the stem and leaf plot would be 22

First, order the numbers out from the stem and leaf plot, using the key of 1 | 5 means 15.

The numbers are :

10, 23, 23, 28, 33, 45, 70, 90

The Interquartile range is:

= Third quartile - First quartile

First quartile :

= 25 % x 8

= 2 nd position which is 23

Third quartile :

= 75 % x 8

= 6 th position which is 45

The interquartile range is:

= 45 - 23

= 22

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Answer:

1191 cm²

Step-by-step explanation:

Area of parallelogram = base X vertical height.

Call the vertical line h.

h/ sin 80  =  7/ sin 10

h = (7 sin 80) / sin 10

= 39.7.

Area of parallelogram = 30 X 39.7

= 1191 cm²

The Area of Parallelogram whose side length is 30 cm is 1,190.952 square cm.

Given:

Side length = 30 cm

Using Trigonometry

tan 80 = P / Base

5.6712 = P / 7

P = 39.6984 cm

Using the formula for Area of parallelogram

= Base x height

= 30 x 39.6984

= 1,190.952 square cm.

Therefore, the area is 1,190.952 square cm.

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Percentage equivalent to fraction is found by multiplying the fraction with 100.

Given,

Percentage equivalent of fraction,

Let us take few fractions and convert them into their percentage equivalent.

Example,

Fractions                                                       Percentage equivalent

Hence multiply the given fraction with 100 to get its percentage equivalent.

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Answer:

Step-by-step explanation:

Sales Revenue:  $800.00

Cost of good sold:  $350,000.00

Subtract:                   $450,000.00

Sales Revenue:         $795,000.00

Cost of good sold:     $600,000.00

Subtract Sales             $195,000.00

Revenue from Cost

of goods sold.

Answer:

True

Step-by-step explanation:

15/7 is about 2.14 which is less than 3

Answer: The amount you would pay (including tax) for the item is:

$755.37 + $52.88 = $808.25

Step-by-step explanation: irst, we calculate the amount of discount that is applied to the original price:

30% of $1199 = 0.3 x 1199 = $359.70

So, the discounted price is:

$1199 - $359.70 = $839.30

Next, we apply the additional 10% off coupon to this discounted price:

10% of $839.30 = 0.1 x $839.30 = $83.93

The final price after the coupon is applied is:

$839.30 - $83.93 = $755.37

Finally, we calculate the sales tax on this final price:

7% of $755.37 = 0.07 x $755.37 = $52.88

The amount you would pay (including tax) for the item is:

$755.37 + $52.88 = $808.25

Answer: 2.333333...

Step-by-step explanation:

If we apply rise over run, we see that it rises 3.5 spaces, and runs 1.5, which means that   \(m = \frac{rise}{run} = \frac{3.5}{1.5} = 2.33333...\)

Answer:

The shadow is 3 ft tall

Step-by-step explanation:

The older giraffe is 16 ft tall and 8 is half of 16 and 8ft is the length of the shadow so that means that half of the small girafe would be 3ft because half of 6 is 3.

Sorry if its not correct

The reference angle for the angle with the measure 2x/3 is 54⁰

You should understand that a reference angle is the acute angle to a given angle.

The given angle is 2x/3

We should understand that since the angle has the variable x

= x + 2x/3 = 90⁰

Simplifying the fraction to have

(3x+2x)/3 = 90

Cross and multiply we have 5x=270⁰

Making x the subject

x= 270/5

x=54⁰

Therefore, the reference angle with the measure 2x/3 is = 54⁰

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Answer:

1200 rs

Step-by-step explanation:

h hope it helps you

1kg= 1000g

So, Use unitary method..

Flour (g) Cost (Rs)

800. 1160

1000. x

800×x = 1160×1000

800X= 1160000

x= 1160000/800

x= 145000 rs

Answer:

6 more girls than boys

Step-by-step explanation:

7+5=12

36 divided by 12 = 3

3x7=21

3x5=15

The measure of the central angle θ in degrees and then multiply by 1/(2π). Then that result by πr²

We will use the following points to find the area of the sector;

First of all, the angle that is formed in a full rotation is 2π.

The area of a circle is given by the formula; A = πr²

The central angle is given by the angle symbol θ. Thus, we have to multiply the area of the circle by a factor θ/2π

Thus, the area of a sector is given by the formula;

A = (θ/2π) * πr²

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The question indicated above speaks to expense analysis for anonymous colleges. See the details of the analyses below.

The cost category that varies the least amongst the various types of colleges is Books and supplies. Notice that at no point did it go below 1,097, nor above, 1,350.

The categories that do not cost more as one goes down the chart (apart from other expenses) are:

Books and supplies went from: $1,350 to $1,107, to 1,107, and then to 1097. Hence decreasing gradually over time.

Transportation also decreased over time starting out from $2,152, to $2,099, to 2,099 and then flatting out at $1,571.

It may be explained that the cost of books is on the decline as more and more people prefer online reading while the cost of transportation is declining as more and more students use their cars or vehicles to the college, hence driving down the cost of transportation.

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The value of x is 24.2.

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

We have,

From the figure,

Base = 22

Hypotenuse = x

Cos Ф = Base / Hypotenuse

Now,

Cos 24 = 22 / x

0.91 = 22/x

x = 22/0.91

x = 24.18

x = 24.2

Thus,

x is 24.2.

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The measure of angle DAC must be 60 degrees. Since a right angle is 90 degrees, the sum of the degrees of both of the angles must be that amount. If angle BAD is 30 degrees, the measure of angle DAC must be 60 degrees.

Answer:

$ 154

Step-by-step explanation

Let the value of suitcase=x

x × 4.5% = 6.93 (converted the question into equation)

x × \(\frac{4.5}{100}\) = 6.93 (converted the percentage into fraction)

x = 6.93 x \(\frac{100}{4.5}\) (took reciprocal of 4.5/100 after moving it to the other side of the equation)

x = \(\frac{693}{4.5}\) (multiplied the values)

x = 154 $ (simplified the fraction)

make it the brainliest and get 20 years of luck : )

Answer:

We also know that the cost for the tax is 6.93 and we can set up the following proportion rule:

\(\frac{x}{100} =\frac{6.93}{4.5}\)

And for this case the value of x represent the cost of the suitcase and solving we got:

\(x= 100 \frac{6.93}{4.5}= 154\)

Step-by-step explanation:

Let x the original cost and we also knwo that the tax is 4.5%.

We also know that the cost for the tax is 6.93 and we can set up the following proportion rule:

\(\frac{x}{100} =\frac{6.93}{4.5}\)

And for this case the value of x represent the cost of the suitcase and solving we got:

\(x= 100 \frac{6.93}{4.5}= 154\)

Answer:

2m 60cm-4ft 8in=1.1776 meters which in feet

3.86351706 ft

Hope This Helps!!!

Given a rectangle of which its length is nine more than triple the width. The width is _10_inches. The length is 39 inches.

Let:

l = length of the rectangle

w = width of the rectangle

"The length of a rectangle is nine more than triple the width" can be translated as:

l = 9 + 3w

perimeter = 2 l + 2w

Substitute perimeter = 98 and  l =  9 + 3w into the perimeter equation:

98 = 2 x (9 + 3w) + 2w

98 = 18 + 8w

8w = 98 - 18

8w = 80

w = 80/8 = 10 inch.

Substitute w = 10 into the length equation:

l = 9 + 3w

l = 9 + 3 x 10

l = 9 + 30 = 39

Therefore the correct answer is:

The width is _10_inches. The length is 39 inches.

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Answer:

t ≥ 75

Step-by-step explanation:

"at least 75" means 75 or higher.

The temperature is equal to 75 or greater than 75.

t ≥ 75

The solutions to the equations are

a) The percentage of quokkas that weigh over 15.5 pounds is 2.1 %

b) The percentage of quokkas that weigh uncer 11.9 pounds is 75.9 %

c) Percentage of quokkas that weigh between 15.5 and 11.9 pounds 22.0 %

The relationship between a value and the mean of a set of values is expressed numerically by a Z-score. The Z-score is computed using the standard deviations from the mean. A Z-score of zero indicates that the data point's score and the mean score are identical.

The Z-score is calculated using the formula:

z = (x - μ)/σ

where z: standard score

x: observed value

μ: mean of the sample

σ: standard deviation of the sample

Given data ,

The weights of the quokkas are described by the normal model as

N ( 10 , 2.7 )

So , the mean μ = 10

And , the standard deviation σ = 2.7

a)

The percentage of quokkas that weigh over 15.5 pounds is given by the equation P ( x > 15.5 )

On simplifying the equation , we get

From the z-score formula ,

P ( z > ( 15.5 - 10 ) / 2.7 )

P ( z > 2.037 ) = 0.020825

0.020825 = 2.0825 %

Hence , the percentage of quokkas that weigh over 15.5 pounds is 2.1 %

b)

The percentage of quokkas that weigh uncer 11.9 pounds is  given by the equation P ( x < 11.9 )

On simplifying the equation , we get

From the z-score formula ,

P ( z < ( 11.9 - 10 ) / 2.7 )

P ( z < 0.7037 ) = 0.020825

0.75919 = 75.919 %

Hence , the percentage of quokkas that weigh uncer 11.9 pounds is 75.9 %

c)

Percentage of quokkas that weigh between 15.5 and 11.9 pounds is

P ( 11.9 < x < 15.5 )

On simplifying the equation , we get

From the z-score formula ,

P ( 11.9 < x < 15.5 ) = 1 - P ( x < 11.9 ) - P ( x > 15.5 )

P ( 11.9 < x < 15.5 ) = 1 - 0.020825 - 0.75919

P ( 11.9 < x < 15.5 ) = 0.219985

P ( 11.9 < x < 15.5 ) = 22.0 %

Hence , the equations are solved using z-score

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