HELPP! The perimeter of a rectangle is 104 inches. The width is 6 inches less than 3 times the length. Find the
width of the rectangle.Show each step and explain what was performed for each step.

Step-by-step explanation:

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Answer: 32

Step-by-step explanation:

This is an example of an arithmetic sequence as the difference between the first 3 terms is constant. We can see that 4 is constantly being subtracted.

[tex]a_{n}=a+(n-1)d[/tex]  is the formula for an arithmetic sequence.

[tex]a_{n}[/tex] = nth term

a = the first term in the sequence

n = term you are looking for (in this case 45)

d = common difference between the terms (in this case -4)

∴

[tex]a_{n}=a+(n-1)d[/tex]

[tex]a_{45} =208+(45-1)(-4)\\a_{45}=32[/tex]

Answer:   a. the slope is -2/5 and the y-intercept is -1/3

Step-by-step explanation:

Find the slope by finding the difference in x-values divided by the difference in y-values

(1/4 ,-13/30) and (-3/4, -1/30)  are useful values

-13/30 --1/30 = -12/30    = -2/5 is the rise      

-1/4 - -3/4 = 1  is the run (-2/5)/1 Division by 1 leaves the original numerator)

the slope is -2/5

To find the y intrcept, substitute the y and x values from any given coordinate into the slope intercept form and solve for  b

y= mx + b

-3/5 = (-2/5)(2/3) + b

-9/15 + 4/15 = b

-5/15 = b

-1/3 = b  This is the y-intercept

Screenshot below of graph illustrates this solution

Answer:

3 classmates

Step-by-step explanation:

1/9 = 0.111111...

27 x 1/9 = 3

Answer:

u ≈ 5.7

Step-by-step explanation:

Using the Sine rule in Δ TUV, that is

[tex]\frac{t}{sinT}[/tex] = [tex]\frac{u}{sinU}[/tex] , substitute values

[tex]\frac{2.5}{sin26}[/tex] = [tex]\frac{u}{sin85}[/tex] ( cross- multiply )

u × sin26° = 2.5 × sin85° ( divide both sides by sin26° )

u = [tex]\frac{2.5sin85}{sin26}[/tex] ≈ 5.7 ( to 1 dec. place )

we can see the point ( - 1 ; - 2) on the line

so

f(-1) = - 2

as a point is ( x ; f(x) )

Answer:

f(-1) = -2

Step-by-step explanation:

f(-1) means find the value at x = -1

The y value at x=-1 is -2

f(-1) = -2

Answer:

$14

Step-by-step explanation:

28/2 = 14

Answer:

50 gold coins

Step-by-step explanation:

5%=5/100

therefore 5% of 1000

=5%×1000

=5/100×1000

final answer would be 50 coins...

The total balance of Greg account after he makes the monthly payment for July is $864.99.

Monthly payment is the payment which has to paid against the loan amount or the borrowed money calculated with interest rate.

It can be calculated with the following formula.

[tex]M=P\left(1-\dfrac{r}{1-(1+r)^{-nt}}\right)[/tex]

Here, (P) is the principal amount, (r) is the interest rate and (t) is time.

Greg has a credit card which requires a minimum monthly payment of 2.06% of the total balance.

His card has an apr of 11.45%, compounded monthly. At the beginning of May, Greg had a balance of $318.97 on his credit card.

In the Month of May he make payment of 46.96, 33.51, and 26.99. Greg had a balance of $318.97 on his credit card. The total balance after the end of may is,

[tex]P=46.96+33.51+26.99+318.97\\P=426.43[/tex]

The financial charge on this payment with Apr 11.45% is 4.07. Thus, the payment become 430.5.

The payment for the June 97.24, 112.57,72.45. The payment at the end of June is 719.56 and financial charge is 10.22.

The payment become 722.98. The payment for the June 41.14, 101.84. At the end of July 865.96.

The total balance of Greg account after he makes the monthly payment for July is $864.99.

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Answer:

0.102542

Step-by-step explanation:

Given that 9% of customers do not provide a reason, 29% say the item did not fit, 13% find a flaw with the item, and 4% changed their mind about the purchase.

So, the total percentage of items returned due to no reason, unfit, flaw, and due to changing mind

=9%+29%+13%+4%=55%

As the remaining customers returned gifts purchased for them, so, the percentage of customers who returned gifts =100-55=45%.

So, the fraction of customers who returned gifts=45/100=0.45.

Now, observe that if 1 item returned, there is a chance of 0.45 that the item is a gift.

Moreover, there are only two possibilities for any idem, i.e the idem was a gift or not a gift, so the number of total returned items can be considered a Bernoulli's population.

Let p be the probability of a returned item which is the same for all the returned items,

p=0.45

So, according to Bernoulli's theorem, the probability that out of n=40 returns on a given day, r=20 are gifts is

[tex]\binom{n}{r}p^r(1-p)^{n-r}=\binom{40}{20}(0.45)^{20}(1-0.45)^{40-20}[/tex]

[tex]=0.102542[/tex]

Hence, the probability that 20 returned items are gifts among the total 40 returned items is 0.102542.

Answer:

4x+y=-4

Step-by-step explanation:

gradient(m)=y2-y1/x2-x1

the line also passes through points (x,y) and (-2,4)

-4=4-y/-2-x

cross multiplying

8+4x=4-y

option(A):4x+y=-4

is your answer.

Answer:it’s 72

Step-by-step explanation:

Answer:

26.22 foot

Step-by-step explanation:

The relation between foot and meter is given by :

1 foot = 0.305 meter

We firstly find value of 1 meter in terms of foot.

So,

[tex]1\ m=\dfrac{1}{0.305 }\ \text{foot}[/tex]

To find no of foot in 8 meters, multiply [tex]\dfrac{1}{0.305 }[/tex] by 8 i.e.

[tex]8\ m=\dfrac{1}{0.305 }\times 8\ m\\\\=26.22\ \text{foot}[/tex]

So, there are 26.22 foot in 8 meters.

[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]

let the required number be ' x '

Now, let's form a equation as per the question ~

[tex]\qquad \sf  \dashrightarrow \: - \bigg(\dfrac{ 7}{3} \times 2 \bigg ) + x = \dfrac{3}{7} [/tex]

[tex]\qquad \sf  \dashrightarrow \: - \dfrac{ 14}{3} + x = \dfrac{3}{7} [/tex]

[tex]\qquad \sf  \dashrightarrow \: x = \dfrac{3}{7} + \dfrac{14}{3} [/tex]

[tex]\qquad \sf  \dashrightarrow \: x = \dfrac{9 + 98}{21} [/tex]

[tex]\qquad \sf  \dashrightarrow \: x = \dfrac{107}{21} [/tex]

Answer:

Direct

Step-by-step explanation:

16/4 = 4

100/25 = 4

4 = 4

Answer:

Step-by-step explanation:

Let's find the LCM of 5 and 6. 5x6 is 30. So 1/5 times 6 to both numerator and denominator is 6/30. 1/6 is slightly different. 30 is 5 times 6. So 1/6 times 5 to both denominator and numerator is 5/30. Since 6/30 and 5/30 does not have a halfway point, let's multiply both by 2. It is 10/60 and 12/60. Midway point is 12+10/2 which is 11/60.

Answer:11/15

1/5+1/6=11/30

11/30 /2=11/15

11/15

Step-by-step explanation:

Answer:

540 miles

Step-by-step explanation:

450/15 = 30

so the car can travel 30 miles per gallon

18*30 = 540

Answer:

540 miles

Step-by-step explanation:

Gallons:     15          18

Miles:        450         x  

450 divided by 15 = 30

18 times 30 = 540

Answer:

x

Step-by-step explanation:

The composition of a function and its inverse is x.

Answer:

he will have enough money for thirteen people

Step-by-step explanation:

because $15*13 people =$195 . he will have extra $5 dollars to go home

Answer:(-1,-8)

Step-by-step explanation:

Answer:

(-1, -8)

step-by-step explanation:

if reflected over x-axis, use the formula: (x, y) → (x, -y)

if translated vertically, there will be change in y axis:

Answer:

a. All sides are the same length

a. 60 degree for each angle

b. Parallelogram, rhombus

c. trapezoid

Answer:

y - 5 = -3(x - 12)

Step-by-step explanation:

Point slope form is: y - y1 = m(x - x1), where (x1, y1) is a point on the line, and m is the slope of the line.

Plug in the point and the slope:

y - y1 = m(x - x1)

y - 5 = -3(x - 12)

So, y - 5 = -3(x - 12) is the equation in point slope form of the line.

Answer:

y-5 = -3(x-12)

Step-by-step explanation:

Answer: ( D) 998 is the greatest three digit positive integer

Step-by-step explanation: Your welcome.

Answer:

15

Step-by-step explanation:

x+(x+1)+(x+2)= 48

=)3x+3=48

=)3x=45

X=15

The smallest of the integers would be 15.

The consecutive numbers are those numbers that follow each other continuously in the order from smallest to largest numbers.

Given that the sum of 3 consecutive integers is 48.

We need to find the smallest of the integers.

Let assume the 3 consecutive integers are x, (x+1) and (x+2)

Therefore, x+(x+1)+(x+2)= 48

Combine the like terms;

3x+3=48

3x=45

X=15

Hence, the smallest of the integers would be 15.

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Answer:

250

Step-by-step explanation:

add all numbers which gives the number

Answer:

3?

Step-by-step explanation:

3(264621(305613

8829. (101871

The Highest Common Factor of 264627 and 305613 is 891.

The highest common factor (HCF) is found by finding all common factors of two numbers and selecting the largest one.

For example, 8 and 12 have common factors of 1, 2 and 4. The highest common factor is 4.

Given:

264627 and 305613

Now, prime factorizing both number

264627  = 3 x 3 x 3 x 3 x 3 x 3 x 3 x 11 x 11

and, 305613 = 3 x 3 x 3 x 3 x 7 x 7 x 7 x 11

So, the common factors are 3 x 3 x 3 x 3 x 11 = 891

Hence, the HCF is 891.

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The triangle represents delta notation change in y over change in x. the correct option is C.

The pace at which one quantity changes in relation to another quantity is known as the rate of change function. Simply said, the rate of change is calculated by dividing the amount of change in one item by the equal amount of change in another.

The average rate of change is calculated by the formula,

Rate of change = Δy / Δx

Here, the triangle represents the rate of change of the y coordinate with respect to the rate of change of the x coordinate.

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Answer: 58 degrees

Step-by-step explanation:

We can see that this triangle is an isosceles triangle so that means the two bottoms angles will be equal

Point S must be equal to point U

z = 58 degrees

Check if this is true:

Angle sum of a triangle: 180 degrees

58 + 58 = 116

180 - 116 = 64

Point T is 64

58 + 58 + 64 = 180

Answer:

6

Step-by-step explanation: