A triangle has side lengths of (7m2) centimeters, (9m - 5) centimeters, and
(6n1) centimeters. Which expression represents the perimeter, in centimeters, of
the triangle?
5n - 7 + 16m
5m +5n+4
9m +5n
4
16m + 6n - 8
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Number of winning tickets =7 and Number of losing tickets = 28. When there are 35 tickets in a bag and the ratio of winning tickets to losing tickets is 1:4

Given: Total tickets = 35

The ratio of winning tickets to losing tickets = 1:4

Number of winning tickets = [tex]\frac{1}{1+4} *35[/tex]

[tex]\frac{1}{5} *35=7[/tex]

Number of losing tickets = [tex]\frac{4}{1+4} *35[/tex]

[tex]\frac{4}{5} *35[/tex]

4×7=28

Hence, Number of winning tickets =7 and Number of losing tickets = 28.

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Answer:

1491

Step-by-step explanation:

Based on the given conditions, formulate

 Rearrange unknown terms to the left side of the equation

Calculate the sum or difference

Divide both sides of the equation by the coefficient of variable

Cross out the common factor:get the result

Answer:

x=14

Step-by-step explanation:

Lines RP and MQ intersect, creating 2 pairs of vertical angles. Vertical angles are congruent.

<RSQ and <PSM are vertical angles and therefore congruent

163=3x+9x-5

x=14

Work Shown:

h(x) = |x+10|

h(-17) = |-17+10|

h(-17) = |-7|

h(-17) = 7

Answer:

£56.16

Step-by-step explanation:

do 2 divided by 18.72 which is 9.36 then do 9.36×6 which is 56.16

Answer:

93.13

Step-by-step explanation:

   8 9 10                 This is to show the work

 99.00

-   5.87

------------

  93.13        

Answer

500 tickets were sold

Step-by-step explanation:

Since 100 main floor tickets were sold, and each cost $7.50, we multiply it by 100 which equals $750, then since revenue was $3250, we do $3250 - $750 = $2500. Now that we got the extra tickets taken out of the way, time to find the rest. First, we add the prices of both tickets together, $7.50 + $5 = $12.50, then divide it by the remaining revenue, $2500 divided by $12.50 = 200 tickets, so 200 of each ticket were sold, + 100 main floor tickets. So now we do 300 main floor tickets + 200 balcony tickets, which is 500 tickets in total. Maybe you didn't read this but that's alright :)

The value of x is 33

What other external angles are there?

The alternate exterior angle theorem states that when two parallel lines cross, the exterior angles formed on either side of the transversal are equal. The distance between two intersecting lines or surfaces at or around their meeting point is referred to as the angle.

Since (2x - 30°) and (x+3)° are alternate exterior angles, they will be equivalent to one another.

(2x - 30)° = (x+3)°
Separate all similar phrases, then determine the value of x:
(2x - 30)° = (x+3)°
2x - x = 33 + 3
x = 33
Consequently, x will have the value of 33.

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The value of x is given by 13.

The above angle of the triangle is vertically opposite to the angle 110.

So, the above not mentioned angle of triangle is = 110.

We know from Angle sum property of a triangle that the sum of all interior angles of a triangle is 180.

So, from the given figure we can write that,

110 + 57 + x = 180

167 + x = 180

x = 180-167

x = 13

Hence the value is, x=13.

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If FC bisects ∠ACD and ∠ACD is a straight angles, then proved that the ∠ACF is a right angle

The ∠ACD is a straight angles

We know the angles on a straight line add up to 180 degree

Therefore,

The measure of angle ACD = 180 degrees

Here it is given that the line FC bisects angle ACD

Therefore, The angle ACF is equal to Angel DCF

Angle ACF = Angel DCF

Angle ACF + Angle DCF = 180 degrees

Then,

Angle ACF = Angel DCF  = 90 degrees

Hence, if FC bisects ∠ACD and ∠ACD is a straight angles, then proved that the ∠ACF is a right angle

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Answer:

False.

Step-by-step explanation:

E = mc² shows the relationship between mass and energy.

The simplified form of the ratio using the conversion 12 in = 1 ft as required in the task content is; Choice A; 8/1.

It follows from the task content that the simplified form of the ratio 8 ft / 12 in is to be determined.

Since the given ratio whose simplified form is to be determined is; 8 ft / 12 in.

However, recall that according to the conversion; 12 in = 1 ft.

On this note, 8 ft = 8 × 12 in.

Therefore, the equivalent ratio can be written as;

(8 × 12in) /12in.

The required simplified ratio is therefore; 8/1.

Ultimately, the correct answer choice is; Choice A; 8/1.

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4.2 x 10^8 is  2*10^6  times the value of 2.1 x 10^2 when division is performed.

The concept that will be used to solve the question is division operation.

We were given 4.2 x 10^8 which is greater than  2.1 x 10^2

The operation can be expressed as :

4.2 x 10^8 =( n *2.1 x 10^2)

where n = the number of times that 4.2 x 10^8  is greater than 2.1 x 10^2

Then make n the subject of the formular which is

n = 4.2 x 10^8/2.1 x 10^2

n = 2*10^6

Therefore, the values of 4.2 x 10^8 is greater than 2.1 x 10^2 in 2*10^6 times.

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The approximate present value of this future income is $23,894.

What is interest?

Interest is a fee paid for borrowing money or other assets the amount borrowed is called the principal.

The interest is expressed as a percentage rate of the principal. for a given time interval.

What is percentage?

Percentages are essentially fractions where the denominator is 100.

What is Fraction?

A fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole. A fraction has two parts, namely numerator and denominator. The number on the top is called the numerator, and the number on the bottom is called the denominator.

Formula of interest rate r is given by ;

Present value of future income [tex]= \frac{Income}{(1 + Interest\ rate)}[/tex]

Present value of future income [tex]= \frac{\$27000}{1+0.13}[/tex]

Present value of future income = $23,894

so, the option D is correct.

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Answer:

Multiplication property

Step-by-step explanation:

Multiply each side by 8:

m=-2

m*8=8m

-2*8=-16

8m=-16

Answer:

240

Step-by-step explanation:

20%×5=100

48×5=240

Answer:

20% of 240 is 48.

Step-by-step explanation:

Forming the equation,

→ (x/100) × 20 = 48

Now the value of x will be,

→ (x/100) × 20 = 48

→ (20x/100) = 48

→ x/5 = 48

→ x = 48 × 5

→ [ x = 240 ]

Hence, the answer is 240.

Answer:

the answer is number 4 okay

Answer:

it will roll on one of the sides after you roll it

The expression that is similar to [tex]\frac{2^{3} . 2^{4} }{2^{12} }[/tex] is [tex]\frac{1}{2^{5} }[/tex]

Index (indices) in Maths is the power or exponent which is raised to a number or a variable. For example, in number [tex]2^{4}[/tex], 4 is the index of 2. The plural form of index is indices. In algebra, we come across constants and variables. The constant is a value which cannot be changed.

In the expression [tex]\frac{2^{3} . 2^{4} }{2^{12} }[/tex] all the indices have a common base 2

From numerator [tex]2^{3}[/tex] x [tex]2^{4}[/tex] = [tex]2^{3 + 4}[/tex]  which [tex]2^{7}[/tex]

so since the base at the numerator is same as that at the denominator we subtract their exponents

so that we have,

[tex]2^{7 - 12}[/tex] = [tex]2^{-5}[/tex]

which can further be written as  [tex]\frac{1}{2^{5} }[/tex]

In conclusion the simplified form of the expression is [tex]\frac{1}{2^{5} }[/tex]

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Answer:

The solution is -35/8

Step-by-step explanation:

[tex] \sf - 1 \frac{1}{4} \times 3 \frac{1}{2} \\ \\ = \sf - \frac{4 \times 1 + 1}{4} \times \frac{2 \times 3 + 1}{2} \\ \\ = \sf - \frac{4 + 1}{4} \times \frac{6 + 1}{2} \\ \\ = \sf - \frac{5}{4} \times \frac{7}{2} \\ \\ = \sf - \frac{5 \times 7}{4 \times 2} \\ \\ = \sf - \frac{35}{8} \\ \\ = \sf - 4 \frac{3}{8} [/tex]

Answer:

Step-by-step explanation:

so if you find the quadratic formula of 3 and multiply it by 82 you get 16. Then if you add 16 and 9 you get 25 this means that they sold 67 large pizzas. Your welcome

The order of cards on number line are in main body.

What is number line?

In elementary arithmetic, number line could be a image of a graduated line that is visual illustration of the important numbers. each purpose of range|variety} line is assumed to correspond to a true number, and each complex number to a degree.

Main body:

According to question we need to arrange numbers in ascending order ,

so the order will be as

-31/ 3 = -11.33

-10

-9/8 = -1.125

0

1/4 = 0.25

1

9/8 = 1.125

8

hence the order is as  -31/3< -10< -9/8 < 0< 1/4 < 1 < 9/8< 8

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Answer:

250b calories in b, bars 15c calories in c, carrots

Step-by-step explanation:

Answer: This equation, when simplified would be x = 4

Step-by-step explanation:

That's what I believe it is

Step-by-step explanation:

A two sigma confidence interval is created whenever our alternate hypothesis does not equal a value.

For example if

[tex]h_{o} = 0.36[/tex]

and

[tex]h _{a} ≠0.36[/tex]

We used a two sigma confidence interval because we are thinking a portion is either below 0.36 or above 0.36.

When solving these probability for the p value, multiply the inital result by 2 to get the p value

The 2 sigma confidence interval is a principle that states that a result will be considered significant if 95% of the population is two standards deviation from the average value.

The two-sigma confidence level states that 95% of the values obtained in the results from a population should be within2 deviations from the mean. Anything below this acceptable percentage is not considered the 2-sigma confidence level.

If 68% of the score are within 1 standard deviation from the mean, then that will be considered the 1-sigma rule. If 99.7% of the score is 3 standard deviations from the mean then we can refer to that as the 3-sigma confidence interval.

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Answer:

5.131 × 10¹⁴  Hz

Step-by-step explanation:

Planck relation

[tex]\large\boxed{E = hf}[/tex]

where:

Given values:

Substitute the given values into the formula and solve for f:

[tex]\implies 3.4 \times 10^{-19}=(6.626 \times 10^{-34})f[/tex]

[tex]\implies f=\dfrac{3.4 \times 10^{-19}}{6.626 \times 10^{-34}}[/tex]

[tex]\implies f=\dfrac{3.4}{6.626} \times \dfrac{10^{-19}}{10^{-34}}[/tex]

[tex]\implies f=0.5131\times 10^{(-19-(-34))}[/tex]

[tex]\implies f=0.5131 \times 10^{15}[/tex]

[tex]\implies f=5.131 \times 10^{14}[/tex]

Answer:

[tex] \dfrac{7x + 15y}{21} [/tex]

Step-by-step explanation:

[tex] \dfrac{1}{3}x + \dfrac{5}{7} y = [/tex]

[tex] = \dfrac{7}{21} x + \dfrac{15}{21} y [/tex]

[tex] = \dfrac{7x + 15y}{21} [/tex]