The first 5 terms of some sequences are given. State a rule that each sequence could follow.


2, 4, 6, 8, 10

5, 7, 9, 11, 13

50, 25, 0, -25, -50

1/3, 1, 3, 9, 27

Step-by-step explanation:

1. [tex] \frac{48}{8} +\frac{44}{8}= 11 \frac{1}{2} [/tex]

[tex]2.\frac{10}{10} + \frac{30}{10} = 4[/tex]

[tex]3.\frac{6}{4} + \frac{2}{3} = 2 \frac{1}{6}[/tex]

[tex]4.\frac{1}{8} + \frac{2}{16} = \frac{1}{4}[/tex]

[tex]5.\frac{4}{4} + \frac{14}{16} = 1 \frac{7}{8}[/tex]

[tex]6.\frac{4}{3} + \frac{2}{9} = 1 \frac{5}{9}[/tex]

[tex]7.\frac{2}{4} + \frac{4}{8} = 1[/tex]

[tex]8.\frac{20}{5} + \frac{15}{5} = 7[/tex]

[tex]9.\frac{2}{4} + \frac{4}{6} = 1 \frac{1}{6}[/tex]

[tex]10.\frac{4}{7} + \frac{6}{21} = \frac{6}{7}[/tex]

[tex]11.\frac{4}{2} + \frac{16}{18} = 2 \frac{8}{9}[/tex]

Decimal which represents the fraction of the $25.00 Jaime spent is equal to 0.32.

As given in the question,

Total amount in wallet = $25.00

Amount spent = $8.00

Decimal which represents the fraction of the $25.00 Jaime spent

Fraction spent by Jaime = (Amount spent by Jaime)/(Total amount in wallet)

 ⇒Fraction spent by Jaime = ($ 8.00 ) / ($ 25.00)

⇒Fraction spent by Jaime = 8/25

Convert it into decimal

Decimal represents the fraction spent by Jaime = 0.32

Therefore, decimal which represents the fraction of the $25.00 Jaime spent is equal to 0.32.

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Answer:

d = 510 km

Step-by-step explanation:

She travelled the final 4 hours at a constant speed of 60 km/h.

distance = speed × time

distance = 60 km/h × 4 hours

distance = 240 km for the last 4 hours

She already had travelled 270 km in the first 3 hours.

d = total distance = 270 km + 240 km = 510 km

Answer: d = 510 km

Answer:

[tex]5\left(y+5z\right)\left(y-5z\right)[/tex]

Step-by-step explanation:

[tex]\mathrm{The \;given \;equation \;is \; 5y^2-125z^2}[/tex]

[tex]\mathrm{Factor\:out\:common\:term\:}5:\quad 5\left(y^2-25z^2\right)\\\\= 5\left(y^2-25z^2\right)[/tex]

[tex]\left y^2-25z^2\right[/tex]
[tex]25z^2 = \left(5z\right)^2[/tex]
==> [tex]\left y^2-25z^2\right = y^2-\left(5z\right)^2[/tex]

[tex]\mathrm{Apply\:Difference\:of\:Two\:Squares\:Formula:\:}x^2-y^2=\left(x+y\right)\left(x-y\right)[/tex]
[tex]y^2-\left(5z\right)^2=\left(y+5z\right)\left(y-5z\right)[/tex]

So the factored expression is
[tex]5\left(y+5z\right)\left(y-5z\right)[/tex]

Step-by-step explanation:

Lamar's office will take 12 weeks to recycle a total of 24 kilograms of paper

Information about the problem:

To solve this problem, we have to state the equation using the information of the problem:

Calculating the recycle rate of Lamar's office, we get:

Rate = Kg recycled / time

Rate = 6 kg/3 weeks

Rate = 2 kg/week

Calculating how many weeks Lamar's office will take to recycle 24 kilograms:

Weeks = Total recycle/ rate

Weeks = 24 kg / 2kg/week

Weeks = 12 weeks

We can say that they are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

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The value of the variable x is 5 and the lengths of PL and LQ are 9 and 48, respectively.

In this problem we find a line segment generated by points P and Q and in which a point L divides the line segment PQ in two sections: PL and LQ. In accordance with the statement, we have the following equations describing the geometric system:

PQ = PL + LQ              

PQ = PL + LQ

57 = (2 · x - 1) + (9 · x + 3)

Now we proceed to clear the variable x with the resulting equation:

57 = 11 · x + 2

55 = 11 · x

x = 5

And finally we find the length of each line segment:

PL = 2 · 5 - 1

PL = 9

LQ = 9 · 5 + 3

LQ = 48

The value of the variable x is 5 and the lengths of PL and LQ are 9 and 48, respectively.

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The line of the graph y= kx +4 goes through the point (2,-2) is given by

y = -3x +4.

As given in the question,

Equation of the line is given by y = kx + 4

Passing through the point (2, -2)

Substitute the value in equation we get,

-2= k(2) + 4

⇒2k = -2 -4

⇒k =-6 /2

⇒k =-3

Equation of the line y= -3x + 4 sketched on graph passing through (2,-2).

Therefore, the line of the graph y = kx +4 goes through the point (2,-2) is given by y = -3x +4.

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Answer:

Below

Step-by-step explanation:

b = 180 - 81° (because of the Z angle law)

b = 99°

Answer:

Step-by-step explanation:

The decay rate of a certain new cell phone is 0.333

For given question,

The average lifetime of a certain new cell phone is three years.

The manufacturer will replace any cell phone failing within two years of the date of purchase.

Also, the lifetime of these cell phones is known to follow an exponential distribution.

We need to find the decay rate.

We know that an exponential decay is the process of reducing an amount by a consistent percentage rate over a period of time.

since the average lifetime of a certain new cell phone is three years, the decay rate would be 1/3 = 0.333

Therefore, the decay rate of a certain new cell phone is 0.333

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Using proportions, it is found that the Ruiz family is not getting the most accurate ratio and are losing money, thus the rounding should be realized after the conversion.

The Ruiz family is exchanging Euros for USD dollars, considering the following currency rate:

1 euro = 1.35261 USD.

Considering that the amounts in USD are rounded to the nearest hundredth, the use the following rule

1 euro - 1.35 USD.

It asks if the Ruiz family will be getting the most accurate answer.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

For this problem, we suppose a 1000 euros amount, them:

Hence the Ruiz family is not getting the most accurate ratio and are losing money, thus the rounding should be realized after the conversion.

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The taller mountain bike frame should be 3.4cm taller.

The equation that can be used to determine the ideal height of the mountain bike frame is:

Mountain bike frame : (2/3 x length of the bike rider's leg) - 10

Mountain bike frame when leg length is 80cm: (2/3 x 80) - 10 =53.3 - 10 = 43.3 cm

Mountain bike frame when leg length is 85cm: (2/3 x 85) - 10 = 56.7 - 10 = 46.7cm

Difference in mountain bike frame :46.7 cm - 43.3 cm = 3.4cm

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Step-by-step explanation:

I guess this means from 2018 to 2019 (and not to 2010).

so, compared to 2018 the numbers of 2019 were 104% (100% of 2018 plus 4% increase).

104% = 68,280,000

100% = 104%/1.04 = 68,280,000/1.04 =

= 65,653,846.15 ≈ 65,653,846

the number of passengers in 2018 were about

65,653,846

Answer: x = 49 degrees,      y = 41 degrees

Step-by-step explanation:

Using supplementary angles, we know that x + y + 90 degrees = 180 degrees.

Using complimentary angles, we know that x + 41 degrees = 90 degrees, and x + y = 90 degrees.

Solving first for x,

x + 41 degrees = 90 degrees

x = 90 - 41 degrees

x = 49 degrees

Solving for y,

x + y = 90

Substituting 49 degrees in for x,

y + 49 degrees = 90 degrees

y = 90 - 49 degrees

y = 41 degrees

Answer:

Solve for x: [tex]x = \frac{3y+1}{4y-2}[/tex]

Evaluate x for y = 1: [tex]x = 2[/tex]

Step-by-step explanation:

[tex]Original:y=\frac{2x+1}{4x-3}\\Multiply\ out\ the\ denominator:(4x-3)*y = 2x+1\\Distribute: 4xy - 3y = 2x+1\\Group\ Like\ Terms:4xy-2x = 3y+1\\Factor\ Out\ x: x(4y-2) = 3y+1\\Divide\ to\ get\ x\ alone:x = \frac{3y+1}{4y-2}\\\\Plug\ in\ the\ value\ for\ y:x = \frac{3(1)+1}{4(1)-2}\\Multiply:x = \frac{3+1}{4-2}\\Add:x = \frac{4}{2}\\Simplify/Divide:x=2[/tex]

Answer:

5 √(5)^2 = 25

Step-by-step explanation:

The square root of 5^2 is 5. Then we will have to multiply by 5 to get our answer. So we'd do 5 x 5 and it'd equal 25. Therefore our final answer is 25.

I hope this helps, have a blessed day! :D

Answer:

70 cars

Step-by-step explanation:

if the ferry took the same number of cars each hour, then you would just do 350/5 = 70

The total drop in temperature, −20∘F, divided by 4 hours equals −5∘F per hour. The temperature dropped 5∘F each hour. (option 1)

Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷. Division is one of the basic mathematical operation.

If the total drop in temperature over 4 hours is −20∘F, in order to determine the temperature drop each hour, divide −20∘F by 4.

Drop each hour = −20∘F / 4 = −5∘F

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Our initial equation:

17h - 7 = 10h - 2 + 7h

I want to get variables ("h") on one side, and numbers on the other, hence I will add 2 to both sides to shift numbers to the left side.

17h - 5 = 10h + 7h

Now I want to simplify the "h" on the right side.

17h - 5 = 17h

Now I will move the variable from the left to the right.

-5 = 0

17h - 17h is zero, think of h being equal to 1 if you don't get it.

-5 = 0 is a false inequality, there are no solutions.

THERE ARE NO SOLUTIONS.

Answer:

520

Step-by-step explanation:

10 missed in 100 free throw ( because of 100%)
=> 1 missed in (100/10) free throw
=> 52 missed in (52*100/10) free throw
                             = 520 free throw


Hope it helps!
Brainliest?

Her total commission was $560.

As 10% of the first $1,000, 15% of the next $2,000, and 20% of sales beyond $3,000 are commissions that she receives. She sold $3,400 worth of tires last week.

What does "total commission" mean?

The commission serves as a benefit or an inducement for the worker to close agreements so that the business can increase revenue and profits. The total commission is calculated by multiplying the total sales by the commission percentage.

After dividing the outcome by 100, multiply the sale price by the commission percentage. Perform the subsequent calculation: Each blue gadget costs $70. The salesman receives a 14% commission on each sale, or $9.80.

The percentage or fixed payment connected to a specific number of sales is referred to as a "commission rate." A commission, for instance, can be $30 or 6% of sales.

It is therefore $560.

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The expression that represents the amount of cookies Bob ate is 1 + 0.5x.

From the information, Bob told Margaret that he ate half if the amount of cookies that Jeff ate. Bob actually ate one more than half of the amount Jeff ate.

Let the amount that Jeff are be represented as x.

Since Bob actually ate one more than half of the amount Jeff ate, this will be:

= (1/2 × x) + 1

= 0.5x +1

Therefore, the expression is 1 + 0.5x.

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Answer:

D. 8

Step-by-step explanation:

well, let's look at the different parts of the functional expression :

the maximum of 5 is 5, of course.

the maximum of 3 is 3.

the maximum of sin(2x) is the maximum of any sine = 1.

sin(2x) only changes the frequency of the sine wave (the max and min values appear twice as often than for sin(x)), but does not have an impact on the amplitude, which defines the max. and min. values.

sin(2x) is NOT the same as 2×sin(x).

sin(2x) still "waves" between +1 and -1.

so, the total maximum is

5 × 1 + 3 = 8

Answer:

bro this is so easy it's letter d

Answer:

Ann = 67 stickers

Josh = 60 stickers

Claire = 30 sickers

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Given the function [tex]h(t)=\frac{1}{t+1}[/tex], we can find [tex]h(\frac{1}{2} )[/tex] by substituting [tex]\bf{t=\frac{1}{2}}[/tex].

When t= [tex]\frac{1}{2}[/tex],

[tex]h(\frac{1}{2})[/tex]

[tex]=\frac{1}{\frac{1}{2}+1 }[/tex]

[tex]=\frac{1}{(\frac{3}{2} )}[/tex]

[tex]=\bf{\frac{2}{3}}[/tex]

Additional:

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The distance from Tacoma to Seattle is estimated as 25 miles.

Distance is defined as an object's total movement without regard for direction. Distance can be defined as the amount of ground an object had also covered regardless of its beginning or ending point.

Now, as per the given question;

The following are the distances between cities:

120 miles from Portland to Tacoma

145 miles from Portland to Seattle

120+x = 145

x = 145 - 120

x = 25 miles

Therefore, the distance from Tacoma to Seattle is estimated as 25 miles (according to the given graph).

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The complete question is -

Item 17 The cities Portland, Oregon; Tacoma, Washington; and Seattle, Washington, in respective order, lie approximately in a straight line. The distance from Portland to Tacoma is 120 miles. The distance from Portland to Seattle is 145 miles. Find the distance from Tacoma to Seattle.

(see attached figure)