The longest side of a triangle is a cm.
The second side is bcm shorter than the first side.
The third side is half as long as the second side.
Write an expression, in its simplest form, for the perimeter of
the triangle

Answers

Answer 1

Answer:

P = 2.5a - 1.5b

Step-by-step explanation:

The sides of the triangle are:

a cm,a - b cm,(a - b)/2 cm.

Its perimeter is the sum of the three sides:

P = a + a - b + (a - b)/2 = 2a - b + 0.5a - 0.5b = 2.5a - 1.5b

Related Questions

40 is 77% of what number?

Answers

Answer is 51.9

Step by step

40 is (=) 77% (.77) of (multiply) what number (x)

So

40 = .77x

Divide both sides by .77 to solve for x

40/.77 = .77/.77 x

51.9 = x

Check your work, substitute 51.9 in for x

40 = .77 x 51.9

40 = 40

Problem solved
40 = 77%
x = 100%
Cross multiplication = 77x = 4000
x = 4000/77
x = 51.95 (2dp)

State the interval for which the following function is positive and its intercepts.

Answers

Answer:

see explanation

Step-by-step explanation:

the function is positive for values of y above the x- axis

the line goes on forever on the left side and terminates at x = 15 on the right side.

the interval where the function is positive is (- ∞, 15 ]

the x- intercept is where the line crosses the x- axis ( y = 0 )

x- intercept = 15

the y- intercept is where the line crosses the y- axis (x = 0 )

y- intercept = 3

If the total price for two cars at a dealership is $98,000​, where one car’s price is $13,000​ less than twice the other, what is the price of the cheaper vehicle?

Answers

x + y= 98,000
2x - y = 13000

3x = 111000
x= 37,000

y= 2(37,000) - 13,000 = 61,000
therefore x is the cheaper vehicle that costs 37,000$

The perimeter of the triangle shown is 556 meters. Find
the length of each side.
x meters =
4x meters =
(8x - 3) meters =
(Type integers or decimals.)
4x meters
(8x - 3) meters
x meters

Answers

Answer X=43 ,4X=172, (8X-3)=101

Step-by-step explanation:

Perimeter = addition of all sides ie;

556=X+4X+8X-3

556=13X-3

556+3=13X

559/13=13X/13

X=43

replace x with 43 to get their

Solve the equation for x. Write your answers as fractions. x2 = 9 100

Answers

X = 9100/2
X=4550 (answer)
Hope it helps

How many solutions does this question have?

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

Answers

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.

the cities portland, oregon; tacoma, washington; and seattle, washington, in respective order, lie approximately in a straight line. the distane from portland to tacoma is 120 miles. the distance from portalnd to seattle is 145 miles. find the distance from tacoma to seattle.

Answers

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

What is distance?

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.

Distance is the total length of the path in between two points.Distance is a scalar quantity because it is determined solely by magnitude and not by direction.Only positive values can be assigned to distance.

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)

Last month, Juan and Mariana sold candy to raise money for their debate team. Mariana sold 1/10 as much candy as Juan did. If Juan sold 3 boxes of candy, how many boxes of candy did Mariana sell?

Answers

The number of boxes of candy that Mariana sells is 3/10.

How many boxes of candy did Mariana sell?

A fraction is a non integer that is made up of a numerator and a denominator. An example of a fraction is 3/10. 3 is the numerator and 10 is the denominator.

In order to determine the boxes of candy that Mariana sold, multiply the fraction of boxes that Mariana sold by the number of boxes of candy that Juan sold.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. The sign used to represent multiplication is x.

Boxes that Mariana sells = fraction of boxes that Mariana sells x number of boxes that Juan sold

1/10 x 3 = 3/10

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factorize 5y^2- 125z^2​

Answers

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]

someone please help me with this question i really dont understand it

Answers

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

Find the measure of ∠b ?

Answers

Answer:

Below

Step-by-step explanation:

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

b = 99°

Answer:

Step-by-step explanation:

by inspection it is given that b and 81° are inside the parallel angles...they are sorted such that now we know they  are co-inter.. anglesb+81°=180 since  co-inter... angles are supplementaryb=180°-81°∴b=99°

Find the missing angles x and y vertical/adjacent angles

Answers

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

Given y =
2x+1/4x-3
•Solve for x.
•evaluate x when y = 1

Answers

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 the one you no please

Answers

Answer:

bro this is so easy it's letter d

1. 48/8 + 44/8 = ?
2. 10/10 + 30/10 = ?
3. 6/4 + 2/3 = ?
4. 1/8 + 2/16 = ?
5. 4/4 + 14/16 = ?
6. 4/3 + 2/9 = ?
7. 2/4 + 4/8 = ?
8. 20/5 + 15/5 = ?
9. 2/4 + 4/6 = ?
10. 4/7 + 6/21 = ?
11. 4/2 + 16/18 = ?

i rlly need the answers rn bcs i have to pass it tom

Answers

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]

I’m having trouble understanding this. So pls help me: 5 √(5)^2

Answers

Hi
Check out the attached photo

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

The line y=kx+4 goes through the point (2,-2)
Sketch the graph the line
Please write it step by step

Answers

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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if h(t)=1/t divided by 1 what is h(1/2)

Answers

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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order of operation

2[(4+5)⋅3]

Answers

Answer: 54

Step-by-step explanation:

2[(4+5)⋅3]

⇒2[9⋅3]

⇒2[27]

⇒54

The Galveston-Port Bolivar ferry take cars across Galveston Bay. One day, the ferry transported a total of 350 cars over a 5-hour period.the ferry took the same number of cars each hour. how many cars did it take each hour? complete the bar diagram to help​

Answers

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

What´s 5/6 X 1/4 =? its fraction operations

Answers

Answer:

0.2083

Step-by-step explanation:

The answer will be 0.5833333

irections: Determine if the equations are parallel, perpendicular, or neither
1. x + y = 8 and y = -x - 1

Answers

Answer: They are parallel

Step-by-step explanation:

Turn them both into slope-intercept form:

 y = -x + 8

y = -x - 1

Since the slope on both of them are the same (-1), they are parallel

From 2018 to 2010, the total number of passengers passing through Changi Airport increased by 4% In 2019, the total number was 68 280 000. Calculate the number of passengers passing through Changi Airport in 2018.
Leave your answer correct to the nearest whole number.​

Answers

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

331 students went on a field trip. Six
buses were filled and 7 students
traveled in cars. How many students
were in each bus?

Answers

The number of students in each bus are 54 students .

Given that, 331 students went on a field trip. Six buses were filled and 7 students traveled in cars.

Now you may get that only 7 students out of 331 are travelled in cars whereas others travelled by bus.

number of total students travelled by bus are 331-7 = 324 students

Therefore 324 students travelled in 6 buses.

Number of students travelled in each bus = 324/6 = 54 students.

Therefore number of students travelled in each bus is 54 students .

verification:

number of buses = 6

number of students in each bus = 54

Therefore total number of students in 6 buses = 6*54 = 324 students.

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helpp- question linked below

Answers

Answer:

Ann = 67 stickers

Josh = 60 stickers

Claire = 30 sickers

No, by rounding the conversion ratio, the Ruiz family will not be getting the most accurate answer. Using the more accurate conversion ratio will give an answer with more than 2 decimal places so the answer can accurately be rounded after the conversion.

Answers

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.

What is the missing information?

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.

What is a proportion?

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:

1000 x 1.35261 = $1,352.61.1000 x 1.35 = $1,350.

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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mary robertson sells tires at a large car service center she earns 10 commission on the first $1000 15 on the next $2000 and 20 on sales of more than $3000 last

Answers

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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I need help with this question so I came to Brantley

Answers

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

How to find the value of a variable and the length of the line segments behind that variable

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 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. the lifetime of these cell phones is known to follow an exponential distribution. the decay rate is:

Answers

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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Audrey misses 10% of the free throws she attempts in a season. How many total free throws did she attempt if she missed 52?​

Answers

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!
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