which value of x is a solution...​

Usando una función lineal, tenemos que:

Con cada año adicional, la cantidad en la cuenta es incrementada en 60.

Una función lineal es modelada por:

y = mx + b

En el cual:

En este problema, hay que la pendiente es de 60, puesto que en cada año la cantidad aumenta en $60, por eso:

Con cada año adicional, la cantidad en la cuenta es incrementada en 60.

Se puede aprender más sobre las funciones lineales en https://brainly.com/question/23382419

#SPJ1

Answer:

In 9 hr it covers a distance of 828 km

In 1 hr it will cover a distance of 828 Divided 9 km = 92

In 6 hr it will cover a distance of   92 × 6 km = 552 km

All Done!

Answer:

552 Km

Step-by-step explanation:

find the speed in Km per hour then multiply by 6

828 Km ÷ 9 hours = 92 Km per hour

then distance covered in 6 hours is

distance = 6 × 92 = 552 Km

The amount Juan & Jaquan each had in sales in July is approximately $725 and the equation for Juan's Earning is 525 + 1.75x and the equation for Jaquan's Earning 609 + 1.015x.

Unitary method:

Unitary method is defined as the process by which we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

Given,

Juan and Jaquan work for separate companies.

Juan earns $15 for each sale plus 5% commission.

Jaquan earns $21 for each sale plus 3.5% commission.

In July, Juan made 35 sales and Jaquan made 29 sales.

They made the same total salary.

Here we need to find the amount Juan & Jaquan each had in sales in July.

Let x be the total number of sales in July.

So, based on the given details we can written it as,

Juan earns,

=> 15 + 5%x

=> 15 + 0.05x

And Jaquan earns,

=> 21 + 3.5%x

=> 21 + 0.035x

So, in July, Juan made 35 sales and Jaquan made 29 sales,

Then

=> 35(15 + 0.05x)

=> 525 + 1.75x  -----------(Juan's Earning)

=> 29(21 + 0.035x)

=> 609 + 1.015x -----------(Jaquan's Earning)

And also in July, they made the same total salary.

So,

Juan's Earning = Jaquan's Earning

Then,

=> 525 + 1.75x = 609 + 1.015x

=> 1.75x - 1.0.15x = 609 - 525

=> 0.735x = 84

=> x = 84 / 0.735

=> x = 114.28

So, the total amount they earned in July is,

=> 525 + 1.75(114.28) = 609 + 1.015(114.28)

=> 525 + 199.99 = 609 + 115.99

=> 724.99 = 724.99

So, they earned approximately $725 in July.

To know more about Unitary method here.

https://brainly.com/question/21648365

#SPJ4

Step-by-step explanation:

-2x - 7 > 1

-2x > 8

-x > 4

x < -4

that is a continuous line from -4 all the way to the left, and the dot on -4 is empty (meaning : it is not included due to the "<" symbol).

x - 2 >= -1

x >= 1

that is a continuous line from +1 all the way to the right, and the dot on +1 is filled (meaning : is IS included due to the ">=" symbol.

Answer:

11 1/4 + 3 1/2

45/4 + 7/2

(45+14)/4

59/4

14 3/4

Answer:

75%

Step-by-step explanation:

15 over 20 is equal to 3/4 and 3/4 is 75%

The total number of students in the four classes is 100 students.

From the information, the numbers of students in the four sixth-grade classes at Northside School are 26, 19, 34, and 21.

Therefore, the total number of students will be:

= 26 + 19 + 34 + 21

= 100

Therefore there are 100 students.

Learn more about numbers on:

brainly.com/question/24644930

#SPJ1

Answer:

42 is your answer

Step-by-step explanation:

-lukelaws hope i helped if i did please make me brainliest if i got it wrong i am so sorry

The number of the sheets in a ream of paper is a 500 sheets.

According to the statement

We have to find that the number pf paper sheets in a one ream.

So, For this purpose, we know that the

The standard form of a number is a way of writing the number in a form that follows certain rules.

From the given information:

A standard ream of paper plus another half ream of paper contains 750 sheets of paper.

It means

total number of sheets = 750 sheets

Then

one full ream + half ream = 750 sheets

Let x be a number of sheets

then

x + x/2 = 750

2x+x /2 = 750

3x/2 = 750

3x = 1500

x = 1500/3

x = 500.

So, The number of the sheets in a ream of paper is a 500 sheets.

Learn more about standard form here

https://brainly.com/question/19169731

#SPJ9

The runner should run for roughly around 54 minutes.

To find how many minutes must the runner run:

Minutes required are:

Therefore, the runner should run for roughly around 54 minutes.

Know more about conversion factors here:

https://brainly.com/question/97386

#SPJ4

Answer:

-3=-18

-1=-8

0=-3

1=2

4=17

Step-by-step explanation:

if g(x)=5x-3 s substitute all x figures and calculate

Answer:

1 kilometer is equal to 1000 meters

Step-by-step explanation:

Answer is h(x) =[tex]\frac{1}{2}[/tex] cos ([tex]\frac{2}{3}[/tex]π +[tex]\frac{2}{3}[/tex]π ) - [tex]\frac{1}{2}[/tex]

∵The maximum point (- 2π. 3 )

        minimum point (- π / 2 , - 4)

and h(x) = a cos (b x + c)+ d

∴ a + d = 3                                d = - 1/ 2

                                  ⇒  

 -a + d = -4                              a = 7 / 2

{solve the equation}

and   -2πb + c = 0                      b = 2 / 3

                                       ⇒

       - ( π/ 2) b + c =  λ              c = 4 / 3 π

∴ h(x) =[tex]\frac{1}{2}[/tex] cos ([tex]\frac{2}{3}[/tex]π +[tex]\frac{2}{3}[/tex]π) - [tex]\frac{1}{2}[/tex]

Trigonometric functions are also known as Circular Functions can be simply defined as the functions of an angle of a triangle. It means that the relationship between the angles and sides of a triangle are given by these trig functions. The basic trigonometric functions are sine, cosine, tangent, cotangent, secant and cosecant

here detail explanation:

Sine Function

Sine function of an angle is the ratio between the opposite side length to that of the hypotenuse. From the above diagram, the value of sin will be:

Sin a =Opposite/Hypotenuse = CB/CA

Cos Function

Cos of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse. From the above diagram, the cos function will be derived as follows.

Cos a = Adjacent/Hypotenuse = AB/CA

Tan Function

The tangent function is the ratio of the length of the opposite side to that of the adjacent side. It should be noted that the tan can also be represented in terms of sine and cos as their ratio. From the diagram taken above, the tan function will be the following.

Tan a = Opposite/Adjacent = CB/BA

Also, in terms of sine and cos, tan can be represented as:

Tan a = sin a/cos a

Secant, Cosecant and Cotangent Functions

Secant, cosecant (csc) and cotangent are the three additional functions which are derived from the primary functions of sine, cos, and tan. The reciprocal of sine, cos, and tan are cosecant (csc), secant (sec), and cotangent (cot) respectively. The formula of each of these functions are given as:

Sec a = 1/(cos a) =  Hypotenuse/Adjacent = CA/AB

Cosec a = 1/(sin a) = Hypotenuse/Opposite = CA/CB

cot a = 1/(tan a) = Adjacent/Opposite = BA/CB

Note: Inverse trigonometric functions are used to obtain an angle from any of the angle’s trigonometric ratios. Basically, inverses of the sine, cosine, tangent, cotangent, secant, and cosecant functions are represented as arcsine, arccosine, arctangent, arc cotangent, arc secant, and arc cosecant.

Learn more about  trigonometric function here: brainly.in/question/2706902

SPJ9

Answer:

[tex]x=\sqrt{13}[/tex]

Step-by-step explanation:

[tex]x^{2} - 6 - 7 = 0 \\x^{2} =13\\x=\sqrt{13}[/tex]

Answer:64

Step-by-step explanation: 12 x 2 = 24 and 20 x 2 = 40 and if you add it all up it equals 64 cubic yards please tell me if i'm wrong

Answer:

=> 7+u = 14; u = 7

Step-by-step explanation:

The sum of 7 and u is 14

=> u + 7 = 14

=> u = 14-7

=> u = 7

Answer:

40g/25ml

Step-by-step explanation:

The density formula is Mass/Volume. The rock is stated to have a mass of 40g, and the 20ml of water was displaced by 25ml, so, the rock has a volume of 25ml.

Answer:

8x^4y^2

Step-by-step explanation:

Just plug it in to the calculator and that will be your result.

The equation representing Main Street if Main Street passes through the point (5, 2) is; y = 2x - 8

We are given the linear equation that represents 5th Avenue as;

y = 2x - 3

Now, main street is parallel to 5th avenue and as such will have the same slope.

Thus, equation of the line passing through (5, 2) representing main street is;

y - 2 = 2(x - 5)

y - 2 = 2x - 10

y = 2x - 10 + 2

y = 2x - 8

Read more about slope intercept form at; https://brainly.com/question/1884491

#SPJ1

Answer:

(-5/2,-4)

Step-by-step explanation:

the answer is (x, y) = (-5/2, -4)

Answer:

21

Step-by-step explanation:

Subtract 7 from both sides to get the answer.

Answer:

Step-by-step explanation:

The cardianality of the set {2, 4, 6, 8, 10, 12} is 6.

According to the given question.

We have a set {2, 4, 6, 8, 10, 12}.

Here, we have to find the cardianality of the set  {2, 4, 6, 8, 10, 12}.

As we know that, the cardinality of a set is a measure of the number of elements of the set.

From the given set {2, 4, 6, 8, 10, 12} we can say that the total number of elements in the given set is 6. So, the cardianality of the set is 6.

Hence, the cardianality of the set {2, 4, 6, 8, 10, 12} is 6.

Thus, option b is correct.

Find out more information about cardianality of a set here:

https://brainly.com/question/27846845

#SPJ1

We use import math when we want to use the sin function in the math library, x= math. sin(3.14).

Similar to #include header_file in C/C++, that how to import function in python. The import statement brings in code from one module into another program, where modules are files that contain python code, and modules are used to group related code in a program, instead of rewriting the code again, you can reuse the same code in different files. To import code from a module a parameter is to be followed import module name ( where the import word is the keyword and the module name is the module you want to import  ).

To know more about python refer to the link https://brainly.com/question/28335400?referrer=searchResults.

#SPJ4

Dilation involves changing the size of a quadrilateral or any shape

The coordinates of the image of the dilation are: [tex]W^{\prime}=(1 / 4,-3), X^{\prime}=(10,0)$, $Y^{\prime}=(7,-9)$[/tex] and [tex]$Z^{\prime}=(4,-9)$[/tex]

This is further explained below

The vertices of the pre-image are given as:

W=(0,-4)

X=(13,0)

Y=(9,-12)

Z=(5,-12)

The scale factor is given as:

k=3 / 4

The center of dilation is given as:

(a, b)=(1,0)

To calculate the vertices of the image, we make use of the following formula [tex]$\left(x^{\prime} y^{\prime}\right)=(k(x-a)+a, k(y-b)+b)$[/tex]

So, we have:

W'=(3 / 4(0-1)+1,3 / 4(-4-0)+0)

W'=(1 / 4,-3)

X'=(3 / 4(13-1)+1,3 / 4(0-0)+0)

X'=(10,0)

Y'=(3 / 4(9-1)+1,3 / 4(-12-0)+0)

Y'=(7,-9)

Z'=(3 / 4(5-1)+1,3 / 4(-12-0)+0)

Z'=(4,-9)

Hence, the coordinates of the image of the dilation are:

W'=(1 / 4,-3),

X'=(10,0),

Y'=(7,-9)

Z'=(4,-9)

Read more about dilation at:

brainly.com/question/10253650

#SPJ1

Maximum time = 0.914 hour , Minimum time = 1.28 hour

Speed is determined by dividing the distance traveled by the time taken to travel it. It gives the amount of time it took to travel a certain distance divided by the distance traveled.

Speed is inversely correlated with time and directly correlated with distance. Hence, Speed X  time equals distance, and

Time is calculated as Distance / Speed; as speed increases, time decreases and vice versa.

Distance = speed  x  time

Maximum speed =  150 +25

                              = 175 miles/ hour

Minimum speed = 150 - 25

                              = 125

Distance = 160 miles

Maximum time = 160/175

                              = 0.914 hour

Minimum time = 160/125

                           = 1.28 hour

To learn more about speed distance and time, refer to https://brainly.com/question/4931057

#SPJ9

The light must be at a height of 7.07m from the floor for the maximum illumination at P.

How  Distance  is that?

Let I be the illumination at P then according to given conditions,

I =  k cosθ/r²

Where k is constant of proportionality: since

r² = h² + 10²

cosθ = [tex]\frac{h}{\sqrt{h^{2} + 10^{2} } }[/tex]

then

I = k [tex]\frac{h}{( h^{2} + 100)^{3/2} }[/tex]

on differentiating

[tex]\frac{dI}{dh} = k \frac{h^{2} + 100)^{3/2} - 3h^{2 ( h^{2} + 100)^{1/2} } }{( h^{2} + 100)^{3} }[/tex]

[tex]= k \frac{( 100 - 2h^{2}) }{( h^{2} + 100)^{5/2} }[/tex]

[tex]\frac{dI}{dh} = 0[/tex]

gives

that is

h = √50 = 7.07

now

[tex]\frac{d^{2I} }{dh^{2} } = k \frac{( 6h^{3} - 900h }{( h^{2} +100)^{7/2} }[/tex]

for h = 7.07

[tex]\frac{d^{2}I }{dh^{2} } = - 10267.6[/tex]

then by second derivative test,I has a maximum ath=7.07

Hence the light must be at a height of 7.07m from the floor for the maximum illumination at P.

Learn more about Distance  

brainly.com/question/18246609

#SPJ4

Answer:

y = x + 3

Step-by-step explanation:

The difference between 1 and 4 is 3

The difference between 2 and 5 is 3

The difference between 3 and 6 is 3

The difference between 4 and 7 is 3

So our answer will either be x= y-3 or y=x+3

Since y=x+3 is the only option that matches the table it must be the answer

Hope this helped and have a good day

For 5 months site b be less expensive than site a.

From the given question we get to know that on-site $50 is a must and %5 will be paid per month, and on-site b $15 will be per to promote his brand and there is no start-up fee.

Let's take the n to be x.

We have to find how many months will b site be less expensive than site a.

So total expenses for site a = 50 + 5x

and total expenses for site b = 15x

We get an equation

50+5x =15x

10x=50

x=5

Therefore for 5 months site b will be less expensive than site a.

To know more about the linear equation refer to the link given below:

https://brainly.com/question/2030026

#SPJ4