9s4t3w ÷ 36s2t5
simplify as a single fraction

Jessica would have to drive 20 miles for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move.

Let's assume the number of miles driven is represented by 'm'. The cost of renting a moving truck for one day at Rentals Plus can be calculated using the equation:

Cost at Rentals Plus = $5.24 + $4.46 * m

Similarly, the cost of renting a moving truck for one day at Speedy Move can be calculated using the equation:

Cost at Speedy Move = $85.24 + $0.46 * m

To find the number of miles that makes the costs equal, we can set up the equation:

$5.24 + $4.46 * m = $85.24 + $0.46 * m

By rearranging the equation, we can solve for 'm':

$4.46 * m - $0.46 * m = $85.24 - $5.24

$4 * m = $80

m = $80 / $4

m = 20

Therefore, Jessica would have to drive 20 miles for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move.

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Answer:

Step-by-step explanation:

FG=7

Answer:

Step-by-step explanation:

Solution:

A four-digit number 4ab5 is divisible by 55. Then the value of b - a is 1.

Answer: 5b is your answer

Step-by-step explanation:

Answer:

5.75.

Step-by-step explanation:

The mean = (8+5+7+10+3+4+31+12)/ 8

= 80/8

= 10.

Now we calculate the difference of each value from the mean We take the absolute ( positive) differences

10 - 8 = 2

10 - 5 = 5

10 - 7 = 3

10 - 10 = 0

10-3 = 7

10 = 4 = 6

10 - 31 = 21

10 - 12 = 2

Sum of the differences = 46

and the mean deviation  is 46/8 = 5.75.

The number pattern for the missing numbers is 1,2,1,1,2,3,2,1,1,2,3,4,3,2,1,1,2,3,2,1,2,2

A pattern of numbers formed with a definite rule is called sequence

How to find a number pattern?

In every number patter, first term of this number pattern is 1; and the terms after the first term are obtained by adding, subtracting or multiply by 1 to the previous term.

1+1=2

2-1=1

1*1=1

1+1=2

2+1=3

3-1=2

2-1=1

1*1=1

.1*1=1

1*1=1

2+1=3

3+1=4

4-1=3

3-1=2

2-1=1

1*1=1

1+1=2

2+1=3

3-1=2

2-1=1

1+2=2

2*1=2

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Answer:

5

Step-by-step explanation:

Just grap any two consecutive terms in the sequence. lets say -55 and -50

-50-(-55) = 5

you can check this by picking two other terms

the probability of winning a lottery game out of all the games played is 0.16.

We are given that:

In a lottery game, the chances of win are = 4 in 25

So, this means that:

if a person plays 25 games of lottery, then he will probably win 4 games out of them.

So, we get that:

Total games = 25

Win games = 4

Probability = win games / total games

Substituting the values, we get that:

Probability = 4 / 25

P = 0.16

Therefore, we get that, the probability of winning a lottery game out of all the games played is 0.16.

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\(\textit{circumference of a circle}\\\\ C=2\pi r ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=15\pi \end{cases}\implies 15\pi =2\pi r\implies \cfrac{15\pi }{2\pi }=r\implies \cfrac{15}{2}=r \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2 \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=\frac{15}{2} \end{cases}\implies A=\pi \left( \cfrac{15}{2} \right)^2\implies A=\cfrac{225\pi }{4}\implies A=56.25\pi\)

Answer:

Step-by-step explanation:

Also possible option is B if 4a⁶/25 is under root

Step-by-step explanation:

√(36a⁸/225a²)

=> 6/9√(a⁸/a²)

If option B is 6/25√(a⁸/a²)

Otherwise

=> √(36a⁸/225a²)

=> √(36a⁶/225)

=> 6a³/15

=> 2/5a³

The resulting graph is a circle with center at (-3,-1) and radius 3.

The graph of the equation (x+3)²+(y+1)²=9

is a circle with center at (-3,-1) and radius 3. The equation of a circle with center (a,b) and radius r is given by the equation (x-a)² + (y-b)² = r². By comparing the given equation with the standard equation of a circle, we can easily see that the center of the circle is (-3,-1) and the radius is 3. To graph a circle, we need to first plot the center of the circle, which is (-3,-1) in this case. Next, we need to mark the radius of the circle, which is 3 units. We can do this by measuring 3 units from the center in any direction and marking the point. Since the radius of the circle is the same in all directions, we can repeat this process for other directions to get points on the circumference of the circle. We can use a compass to make this process easier. After plotting a sufficient number of points, we can draw a smooth curve passing through all the points to obtain the graph of the circle.

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The contractor should lower the ramp by approximately 4.62° to meet safety regulations.

We have,

To determine the angle created by the bottom of the ramp and the ground, we can use the trigonometric function of sine.

In the given triangle, the height is 6 ft and the base is 16 ft.

The angle we want to find is opposite the height (let's call it θ).

The sine of an angle is defined as the ratio of the opposite side to the hypotenuse.

sin(θ) = opposite/hypotenuse

sin(θ) = 6/16

sin(θ) = 0.375

To find the angle θ, we can take the inverse sine (also known as arcsine) of 0.375:

θ = arcsin(0.375)

θ ≈ 22.62°

To meet safety regulations, the angle should be no more than 18°. Therefore, the contractor needs to lower the ramp by:

22.62° - 18° ≈ 4.62°

Thus,

The contractor should lower the ramp by approximately 4.62° to meet safety regulations.

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Answer:

What are the given dimensions of the rectangular prism? We need more info in order to help you in the best way possible. If you could provide more info about the question in the comments below, I'd be more than happy to take a look and see what I can do to help.

Thanks!

Answer:

the correct answer is 5 × + 10 + 55 = 90 please give me crown plisssssss  

Step-by-step explanation:

\(\bold{\huge{\underline{ Solution \:1}}}\)

Here, We have given

Let assume the given triangle as ΔABC and ΔXYZ

According to the similarity theorem

Therefore, By using above theorem :-

\(\sf{\dfrac{ A}{X}}{\sf{=}}{\sf{\dfrac{ B}{Y}}}{\sf{=}}{\sf{\dfrac{ C}{Z}}}\)

Subsitute the required values

\(\sf{\dfrac{ 8}{10}}{\sf{=}}{\sf{\dfrac{ 15 }{Y}}}{\sf{=}}{\sf{\dfrac{18}{Z}}}\)

For other two sides of another similar triangle

\(\sf{\dfrac{ 8 }{10}}{\sf{=}}{\sf{\dfrac{ 15}{Y}}}\)

\(\sf{Y =15}{\sf{\times{\dfrac{ 10}{8}}}}\)

\(\sf{Y =15}{\sf{\times{\dfrac{ 5}{4}}}}\)

\(\sf{Y = }{\sf{\dfrac{ 75}{4}}}\)

\(\bold{Y = 18.75 }\)

And,

\(\sf{\dfrac{ 8 }{10}}{\sf{=}}{\sf{\dfrac{ 18}{Z}}}\)

\(\sf{Z =18 }{\sf{\times{\dfrac{ 10}{8}}}}\)

\(\sf{Z =18}{\sf{\times{\dfrac{ 5}{4}}}}\)

\(\sf{Z = }{\sf{\dfrac{ 90}{4}}}\)

\(\bold{Z = 22.5 }\)

Hence, The two sides of the another similar triangle is 18.75 and 22.5

\(\bold{\huge{\underline{ Solution \:2}}}\)

Here, We have

Let assume the two triangle be ΔABC and ΔPQR

According to the similarity theorem :-

That is,

\(\sf{\dfrac{ A}{P}}{\sf{=}}{\sf{\dfrac{ B}{Q}}}{\sf{=}}{\sf{\dfrac{ C}{R}}}\)

Subsitute the required values,

\(\sf{\dfrac{4 }{5}}{\sf{=}}{\sf{\dfrac{ 12}{15}}}{\sf{=}}{\sf{\dfrac{ 20 }{25}}}\)

\(\sf{\dfrac{4 }{5}}{\sf{=}}{\sf{\cancel{\dfrac{ 12}{15}}}}{\sf{=}}{\sf{\cancel{\dfrac{ 20 }{25}}}}\)

\(\bold{\dfrac{4 }{5}}{\sf{=}}{\bold{\dfrac{ 4}{5}}}{\sf{=}}{\bold{\dfrac{ 4 }{5}}}\)

Hence, The scale factor of the given similar triangles is 4/5

\(\bold{\huge{\underline{ Solution \: 3}}}\)

Here, we have given that

But,

Therefore,

According to the scale factor

The actual distance will be

\(\sf{=}{\sf{\dfrac{ 12 }{0.5}}}\)

\(\bold{ = 24 \: km }\)

Hence, The map distance corresponds to actual distance of 12 km is 24 km.

#3 Answer:

The other sides are 18.75 and 22.5

#3 Step-by-step explanation:

Because of the similar triangle

So, \(\frac{8}{10}=\frac{15}{x}=\frac{18}{y}\)               \(\left\{The\ corresponding\ sides\ are\ proportional\right\}\)

\(x=18.75,\ y=22.5\)

#4 Answer:

4:5

#4 Step-by-step explanation:

\(\frac{4}{5}=\frac{12}{15}=\frac{20}{25}=\frac{6}{5}\)

\(So\ the\ scale\ factor\ is\ 4:5\)

#5 Answer:

24 cm

#5 Step-by-step explanation:

\(12\div0.5\)

Calculate

\(\frac{12}{0.5}\)

Multiply both the numerator and denominator with the same integer

\(\frac{120}{5}\)

Cross out the common factor

24

I hope this helps you

:)

Answer:

Triangles have two meanings depending on their position. When pointing up, they represent stability and power, when pointing down they become unstable. The triangle is primarily a masculine shape, but when inverted it also represents female reproduction. Triangles possess a number of key advantages that make them ideal for both architects and curious students. The strength of a triangle derives from its shape, which spreads forces equally between its three sides.

Step-by-step explanation:

Answer:

1144.18 e-12 chips

Step-by-step explanation:

Conversation rate of nanometers

1 nanometers =1* 10^-12 km

35 nanometers= 35 *10^-12

Radius of earth= 6371 km

Circumference of earth = 2πr

Circumference= 2*22/7*6371

Circumference=40046.29 km

The number of chips to be used to circle the earth

= 40046.29/35 *10^-12

=1144.18 *10^-12

= 1144.18 e-12 chips

Answer:

a) 20 years

Step-by-step explanation:

Hina:  x

Nora:  x + 4

x + x + 4 ≤ 45

2x + 4 ≤ 45

2x ≤ 41

x ≤ 20.5

20 years old and 15 years old would be ≤ 20.5 but the question asked for maximum possible age so 20 years old it is.

Answer:

To figure out if both triangles are similar, we will use the relation below

The two triangles both have the same scale factors as

The ratio of their corresponding sides are equal therefore,

Triangle 1 is similar to triangle 2,and the included angles are equal because they are both 90°, so by the SAS similarity theorem, the two triangles are similar.

b) Suppose the sculptor makes both prisms with the same height.

To determine the prism to have the great volume, we will first calculate the volume factor

By substituting the values, we will have

Let the volume of the from triangle 1 be

Let the volume from triangle 2 be

Volume of the smaller prism will be

Volume of the larger prism will be

Hence,'

To determine the number of times the larger prism is bigger than the smaller prism, we will use the formula below

Hence,

The volume of the prism from triangle 2 is 1.44 times greater than the volume from triangle 1

The coupon rate of the bonds by King of Diamonds Industries would be 7 %.

The formula for the bond price shows the coupon payment and so can be used to find the coupon rate:

= (Coupon payment  x ( 1 - ( 1 + r ) ^ ( - number of years till maturity ) ) ) / r + Face value /  (1  + rate )^ number of years

1,482.01 = (C x (1 - (1 + 0.07 )^ (- 14) ) ) / 0.07 + F / (1 + 0.07 ) ^ 14

103.7407 - 0.07 x (F / (1 + 0.07) ^14 ) = C x  (1 - ( 1 + 0.07) ^ ( - 14) )

Using a calculator, C is $ 70.

This means that the coupon rate is:

= 70 / 1, 000

= 7 %

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Answer:

knowing that sin(60)=0.866, what is cos(30)

Step-by-step explanation:

Cos 30 = 8.66

Answer:

\(g'(y)=3y^2-4y-8\)

Step-by-step explanation:

start by foiling out the given function

\(g(y)=(y-4)(2y+y^2)\\=2y^2+y^3-8y-4y^2\\=y^3-2y^2-8y\)

next, use the power rule to find the derivative

power rule: To use the power rule, multiply the variable's exponent n, by its coefficient a, then subtract 1 from the exponent. If there's no coefficient (the coefficient is 1), then the exponent will become the new coefficient.

\(g'(y)=3y^2-4y-8\)

Based on the information we can infer that 5/8 between 6 people is equal to 15/24.

To calculate the part that corresponds to each person, divide the fraction 5/8 by the number of people, which in this case is 6. To simplify the fraction, you can reduce the numerator and denominator by dividing both by their maximum common factor, which is 3.

5 ÷ 3 = 1 and 2 remainder8 ÷ 3 = 2 and 2 remainder

So the fraction can be simplified to 1 2/8, which can also be expressed as 1 1/4 or 5/4 in its most simplified form. This means that each person would receive 5/4 of the original share, and since there are 6 people in total, you can multiply 5/4 by 6 to get the total share that corresponds to all 6 people:

(5/4) x 6 = 30/4 = 15/2 = 15/24

So each person would receive 15/24 of the original amount.

Note: Here is the question in English:

5/8 divided in 6 people

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Answer:

steps below

Step-by-step explanation:

vertex of y=−|x+2|-1 is (-2 , -1), y ≤ -1

1. y>0     No x value will get y>0

2. y<0    x: real number -∞ -> ∞ get y value ≤ -1

3. y=0    No x value get y = 0

Domain:  -∞ -> ∞

Range: y ≤ -1

The company had 32,500 employees a year ago.

Let x be the number of employees the company had a year ago.

According to the problem, the company now has 36% more employees than it did a year ago. This can be expressed mathematically as:

x + 0.36x = 44200

Simplifying the left-hand side of the equation:

1.36x = 44200

Dividing both sides by 1.36:

x = 32500

Therefore, the company had 32,500 employees a year ago.

Percentage is a way of expressing a portion or part of a whole as a fraction of 100. It is often represented by the symbol "%".

For example, if 20 out of 100 students in a class are absent, we can say that the percentage of absent students is 20%. This means that 20 out of every 100 students in the class are absent.

To calculate a percentage, you divide the part by the whole and multiply by 100. For example, if 30 out of 50 students passed a test, the percentage of students who passed the test is:

(30 ÷ 50) × 100 = 60%

This means that 60 out of every 100 students in the class passed the test.

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the area of the given fig will be (12 × 7) +(12 × 7)

What is square?

Having four equal sides, a square is a quadrilateral. There are numerous square-shaped objects in our immediate environment. Each square form may be recognized by its equal sides and 90° inner angles. A square is a closed form with four equal sides and interior angles that are both 90 degrees. Numerous different qualities can be found in a square.

a floor covered with white tiles and gray tiles.

the area of the given figure will be

(12 × 7)  and another (12 × 7)

So the total area will be (12 × 7) +(12 × 7)

Hence the area of the given fig will be (12 × 7) +(12 × 7)

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Answer:

It could be 0, is the question multiple choice?

a horizontal line always has a slope of 0, now, for the sake of a silly proof, let's do some rigamarole to get it.

to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below

\((\stackrel{x_1}{-3}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{7}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{7}-\stackrel{y1}{7}}}{\underset{\textit{\large run}} {\underset{x_2}{7}-\underset{x_1}{(-3)}}} \implies \cfrac{0}{7 +3} \implies \cfrac{ 0 }{ 10 } \implies \stackrel{ }{\text{\LARGE 0}}\)

The equation of the line in point slope form that passes through (1,5) and slope = -3 , is  y = -3x+6 .

The equation of line in point slope form passing through the points (x₁,y₁) and slope =m is given by the formula

(y-y₁)=m(x-x₁)

In the question ,

it is given that

the line passes through the point (1,5) and has a slope m = -3.

so the values become x₁=1 and y₁=5 and m = -3

Substituting the values in the formula for equation of line , we get

(y-5)=(-3)(x-1)

y-5= -3x + 1

y = -3x + 1 + 5

y = -3x+6

Therefore , the equation of the line in point slope form that passes through (1,5) and slope = -3 , is  y = -3x+6 .

The given question is incomplete , the complete question is

Write the equation of the line in point-slope form that passes through the point (1,5) with slope = -3.

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