A triangle has sides with lengths of 5x - 7, 3x - 4, and 2x - 6. What is the perimeter of triangle?

A total of 7 Cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.

A line plot is drawn with the cyclists' names plotted on the x-axis and their corresponding distances covered plotted on the y-axis.

The dots are then joined to form a line, revealing the relationship between the cyclist's names and their corresponding distance traveled. The cyclist names and their corresponding distances are given in the table below.

Name Distance (in miles) Gina 40 1/2 Rey 50 Faye 35 3/4 Mark 60 John 45 1/2 James 40 1/2 Albert 40 1/4 William 54 1/4 Nathan 40 Kate 40 1/4 Mary 60 Risa 40 Abi 35 3/4 Joan 50 1/2 1. The number of cyclists is 14. 2. The longest distance covered by a cyclist is 60 miles.

Mary and Mark both covered this distance.3. A total of 7 cyclists traveled less than 50 miles. 4. The most common distance traveled by cyclists is 40 1/2 miles. Gina, James, and Albert covered this distance. 5. 2 more cyclists traveled 45 miles than 55 1/4 miles. Only William traveled 55 1/4 miles, while John and James both traveled 45 1/2 miles.6.

A total of 7 cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.

For more questions on Cyclists .

https://brainly.com/question/3807925

#SPJ8

The measure of the angles are 60 degrees each

From the question, we have the following parameters that can be used in our computation:

AOB = 138 degrees

Also, we have:

The line OX bisects the angle AOB

Using the above as a guide, we have the following:

AOX = AOB/2 = 138/2 = 69

Also, we have

XOB = AOB/2 = 138/2 = 69

Hence, the angles are 69 degrees each

Read more about angles at

https://brainly.com/question/25716982

#SPJ1

If there are 200 high school students in the district, the number of high school students expected to be in Chemistry is 60 because the percentage who offer Chemistry in the district is 30%.

The number of high school students who offer Chemistry in the district can be determined by multiplying the total number of high school students and the percentage of students who offer Chemistry.

The result of a multiplication operation (multiplicand and multiplier), which is one of the basic mathematical operations, is known as the product.

The total number of high school students in the district = 200

The percentage of students who offer Chemistry in the district = 30%

The number of students likely to be offering Chemistry in the district = 60 (200 x 30%).

Thus, we can conclude that 60 high school students are in Chemistry based on the Chemistry percentage.

Learn more about percentage and multiplication at https://brainly.com/question/24877689 and https://brainly.com/question/28768606.

#SPJ1

The percentage of high school students in the district who offer Chemistry is 30%.  If there are 200 high school students in the district, how many would you expect to be in Chemistry?

The distance of EH is 4.1866 meters.

Circle is a two dimensional figure which consist of set of all the points which are at equal distance from a point which is fixed called the center of the circle.

From the question, we have,

Radius of the circle = 5.3 meters

EF = EI = 5.3 meters

FG = 6.5 meters

Also, we have, HE is a perpendicular bisector of FG.

FH = HG = 6.5 / 2 = 3.25

We have to calculate EH.

We have, FH is the projection of EF in the vertical axis.

FH = EF sin (θ), where θ is the angle FEH.

3.25 = 5.3 sin (θ)

sin (θ) = 0.6132

θ = sin⁻¹ (0.6132)

θ = 37.82°

We have,  EH is the projection of EF into the horizontal axis.

EH = EF cos (θ)

     = 5.3 cos (37.82°)

     = 5.3 × 0.7899

     = 4.1866 meters

Hence the length of EH is 4.1866 meters.

Learn more about Circles here :

https://brainly.com/question/17357009

#SPJ1

Answer:

60%

Explanation:

To get percentages, take the part of a population that is being specified and divided that by the whole population and multiply that value by

100%

So there are 30 people that own boxers, this is the specific population that is being compared to the whole dog-owning population, which is comprised of 50 total families. So 30 50 can be reduced to 3 5 and that gives us 0.6

When that value is multiplied by

100%, it gives us our percentage of 0.6 ⋅ 100% = 60

Option three log3 + log(x+4) is the equivalent to the logarithm expression  log3(x+4).

It is given that logarithm expression is log3(x+4).

It is required to simplify the above equation.

It is another way to represent the power of numbers and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.

aᵇ = c

logₐc = b

We have logarithm expression:

log3(x+4)

We know the log property that we can split a logarithm into two logarithms if it contains the product of two numbers ie.

log xy = logx + logy

By using this property we get:

log3(x+4)

= log3 + log(x+4)

Because 3 and (x+4) are two different numbers, not (x+4).

Thus, option three log3 + log(x+4) is the equivalent to the logarithm expression log3(x+4).

Learn more about the Logarithm here:

brainly.com/question/163125

#SPJ1

The csc(theta) = 1/sin(theta) = 1/(-2/√13) = -√13/2. So, the cosecant of theta is -√13/2.

To find the cosecant (csc) of theta when a point (-3, -2) lies on its terminal side, we need to determine the hypotenuse (r) of the right triangle formed by this point.

Using the Pythagorean theorem, r^2 = (-3)^2 + (-2)^2. So, r^2 = 9 + 4 = 13, and r = √13.

The csc(theta) is the reciprocal of sin(theta). Sin(theta) is calculated as the ratio of the opposite side (y-coordinate) to the hypotenuse, or sin(theta) = -2/√13.

To learn more about : cosecant

https://brainly.com/question/31708994

#SPJ8

Answer:

(from left) 4.54, 4.61, 4.68

Answer:

0.00907

Step-by-step explanation:

Answer:

0.00907

Step-by-step explanation:

ANSWER:

STEP-BY-STEP EXPLANATION:

We must calculate the volume of the box, since it is a cube, the formula to calculate the volume would be:

Replacing:

The cost of the labor per hour is $105. the equation can be used to determine x. The cost of labor per hour is $105. the total amount paid by Casho was $627 - $102 (the cost of the parts) = $525. The technician charged her $105 per hour for his labor.

Given, The technician at the store worked on the computer for 5 hours and charged her 102$ for parts a total 627.

Since Casho needed to get her computer fixed, she took it to the repair store. Therefore, the cost of labor per hour can be calculated.

To find the cost of labor per hour, we can use the following formula; Total Cost = Cost of Parts + Labor Cost * Hours Worked Given, Total Cost = 627Cost of Parts = $102 Labor Cost = x (unknown)Hours Worked = 5Thus, the equation can be written as;

Total Cost = Cost of Parts + Labor Cost * Hours Worked$627 = $102 + x * 5Solving the above equation for x; Let's first subtract $102 from both sides,$627 - $102 = x * 5$525 = x * 5Then, divide both sides by 5 to isolate x,$\frac{525}{5} = x$105 =

For more such questions on equation

https://brainly.com/question/29174899

#SPJ8

Answer:

A. 40x + 10y + 10z = $160

B. 8 Roses, 2 lilies and 2 irises

C.

1. 20x + 5y + 5z = $80

2. 4x + y + z = $16

3. 8x + 2y + 2z = $32

Step-by-step explanation:

Cost for each flower = $160/5 = $32

So we have $32 for each bouquet consisting of 12 flowers each.

Roses = x = $2.50 each

lilies = y = $4 each

irises = z = $2 each

8x + 2y + 2z = $32

8($2.50) + 2($4) + 2($2) = $32

$20 + $8 + $4 = $32

$32 = $32

a. Maximum budget is $160

40x + 10y + 10z = $160

40($2.50) + 10($4) + 10($2) = $160

$100 + $40 + $20 = $160

$160 = $160

b. From above

8x + 2y + 2z = $32

8 Roses, 2 lilies and 2 irises

c. No. There are other solutions If total cost is not limited

1. 20x + 5y + 5z

20($2.50) + 5($4) + 5($2)

$50 + $20 + $10

= $80

2. 4x + y + z

4($2.50) + $4 + $2

$10 + $4 + $2

= $16

3. 8x + 2y + 2z

8($2.50) + 2($4) + 2($2)

$20 + $8 + $4

= $32

The functions we found estimate will take 8 months for the test scores to fall below 84%, rounded to the nearest month. The correct option is (c) y = 86.37 (0.9966)*: 8 months.

Given :

n = 5

Let y = \(A(B)^{x}\)

ln y = ln \(A(B)^{x}\)

ln y = ln A + ln \(B^x\)

ln y = ln A + \(x\)ln B

↓         ↓          ↓

y         c          b

y = c + bx

∑\(x = 15\)

∑\(x^{2} = 55\)

∑\(xy = 66.6936761\)

∑\(y = 22.2451514\)

b = [\(n\)∑\(xy\)- ∑\(x\)∑\(y\)] / (\(n\)∑\(x^{2}\) - (∑\(x\))^2)]

b = [5 x 66.6936761 - 15 x 22.2451514]

               5 x 55 - 15 x 15

b = - 0.00338893

c = (∑\(y\) - \(b\)∑\(x\))/n

c = 22.2451514 + 0.00338893

                  5

c = 4.45867116

A = \(e^c = 86.3726574\)

B = \(e^b = 0.996616806\)

y = \(86.3726574\) (0.996616806)^x

when y≤84%

\(86.3726574\) (0.996616806)^x ≤84%

x≥8.219

x≈8 months

Function, y = 86.37(0.9966)^x

t = x = 8 months.

It will take 8 months time to take for the test scores to fall below 84%. The correct option is (c) y = 86.37 (0.9966)*: 8 months.

To learn more about the functions visit: https://brainly.com/question/28303908

#SPJ4

Answer:

x = 128

Step-by-step explanation:

Answer:

Where are the questions

Answer:

we cant see it

Step-by-step explanation:

Answer:

B) always less than either of the original fractions

Step-by-step explanation:

We can easily Answer this by taking some values.

The question states that the two fractions, each have values between 0 and 1.

Let us say one of the fraction is 1/2 and the other fraction is 1/3 .

The product of the two fractions is 1/2 x 1/3 = 1/6 .

is lesser than both 1/2  and 1/3 .

So, the correct answer is that the product is always less than either of the original fractions.

The two fractions are between 0 and 1 their product will always less than either of the original fractions.

A fraction is number expressed "as quotient, in which the numerator is divided by denominator".

According to the question,

If two fractions are between 0 and 1. In order to check their product be more than 1.

Let us assume one fraction is 1/2 and the other fraction is 1/3. The product of the two fractions:

1/2 x 1/3 = 1/6.

Since the value of fraction 1/2 is 0.5, the value of fraction 1/3 is 0.3333 and the value of fraction 1/6 is 0.166667.

It clearly shows 0.5 > 0.16667 and 0.3333 > 0.16667.

Hence, the two fractions are between 0 and 1 their product will always less than either of the original fractions.

Learn more about fractions here

https://brainly.com/question/183694

#SPJ2

Answer:

(7x^2 -1)(x - 2).

Step-by-step explanation:

7x^3 - 14x^2 - x + 2

We can factor this by grouping - that is factoring the first 2 terms and the last 2:

= 7x^2(x - 2)  - 1(x - 2)      <-- the x - 2 is common to both parts so we have:

(7x^2 -1)(x - 2).

Answer:

4%

Step-by-step explanation:

1% of 900: 9

9 * 4 = 36

Answer:

8

Step-by-step explanation:

Answer:

C) 2.421 x 10^-5

Step-by-step explanation:

A negative exponent on a power of ten will make the decimal point go back that amount of times to the left, making it a lesser number. A positive exponent will cause it to move to the right, making the number greater. We aren’t going to need to make any of the numbers being multiplied greater, so we can eliminate the first two. Then we need to solve the others. We can do this by moving the decimal the amount of times that we see the exponent equals. Since C is -5, we move it to the left 5 times, and get the weight of the seed; 0.0002421.

Hope This Helped!

Answer:

B

Step-by-step explanation:

the sum of the 3 angles in a triangle is 180° , so

∠ c + 56° + 38° = 180°

∠ c + 94° = 180° ( subtract 94° from both sides )

∠ c = 86°

The event that directly contributed to Congress passing the War Powers Act of 1973 was the bombing of Cambodia (option D).

The War Powers Act of 1973 is the name of a resolution of the United States Congress designed with the goal of limiting the ability of the US president to initiate military action in other countries.

This war powers law was the result of Congressional frustration when President Nixon ordered secret bombing on Cambodia during the Vietnam War without the consent of Congress.

Therefore, Congress approved the War Powers Resolution of 1973, with the intention of limiting the president's authority to wage war and reaffirm his authority.

Learn more about Congress in: https://brainly.com/question/3856177

Answer: The bombing of Saigon.

Step-by-step explanation:

Answer:a A. 4x-7/2x(x-2)

got it right on the test

Step-by-step explanation:

Answer:

$19.25

Step-by-step explanation:

11 ÷ 4 = $2.75  this is the cost per gallon of milk

2.75 * 7 = $19.25  this is the cost for 7 gallons of milk

Hope this helps

Answer:

$ 19.25

Step-by-step explanation:

 Milk(gallons)         Cost

        4                    11

        7                     x

  \(\frac{4}{7} = \frac{11}{x}\\\\4 \times x = 11 \times 7\\\\4x = 77\\\\x = \frac{77}{4} = \$ 19.25\)

Answer: 120 ==> scale

8.4 m==> longer side

Step-by-step explanation:

6 m=

6*100 cm=600 cm

600/5=120 ==> scale

7*120=840 cm

840 cm=

840/100 m=8.4 m ==> longer side

Answer:

  193.77 < p < 1806.23

Step-by-step explanation:

You want R(p) > 2,100,000, so ...

  -6p^2 +12000p > 2100000

  p^2 -2000p < -350000 . . . . divide by -6

Adding (2000/2)^2 = 1000000 will "complete the square".

  p^2 -2000p +1000000 < 650000 . . . . complete the square

  (p -1000)^2 < 650000

  -√650000 < p -1000 < √650000 . . . . take the square root

  1000 -806.23 < p < 1000 +806.23 . . . .add 1000

  193.77 < p < 1806.23 . . . . range of prices for desired revenue