Evaluate the following variable expression 5a + 2b - 17 when a = 3 and b = 4 is?

Answer:

Step-by-step explanation:

x + 3y = 15   ×4

4x + 2y = 30   ×1

4x + 12y = 60

 -       -       -

4x + 2y = 30

      10y = 30

y = 30/10

y = 3

To solve for x, substitute y = 3 into any of the equations

x + 3(3) = 15

x + 9 = 15

x =  15 - 9

x = 6

(6,3)

This should be the answer but I don't see that in the options u listed, so I don't know what else it should be.

The required solution to the system of equations is (x, y) = (6, 3).  

Given the system of equations:

x + 3y = 15

4x + 2y = 30

Multiply Equation 1 by 2 to make the coefficients of y in both equations equal:

2(x + 3y) = 2(15)

2x + 6y = 30

Subtract Equation 2 from the modified Equation 1 to eliminate the variable x:

(2x + 6y) - (4x + 2y) = 30 - 30

-2x + 4y = 0

Divide the resulting equation by 2 to simplify it further:

-x + 2y = 0

Now, we have a new equation:

3) -x + 2y = 0

Add the new Equation 3 to the original Equation 1 to eliminate the variable x again:

(x + 3y) + (-x + 2y) = 15 + 0

5y = 15

Solve for y:

y = 15 / 5

y = 3

Now, substitute the value of y back into Equation 1 to find x:

x + 3(3) = 15

x + 9 = 15

x = 15 - 9

x = 6

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Answer:

We can use the sine law to find h. First, we determine the angle between the line of sight and h:

180 - 90 - 39 = 51 degrees

The sine law states that the ratio of one triangle's angle to the opposite side's length is the same as another angle to its opposite side's length, so we can solve for h as follows:

h/sin(39) = 500/sin(51)

h = 500*sin(39)/sin(51)

When we round to the nearest whole number, we get h = 405 ft.

Problem 1

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

Explanation:

The prisms are similar so they have the same shape, but different sizes.

The linear scale factor from small to large is:

large/small = 10/4 = 2.5

Meaning that we multiply each dimension of the smaller prism by 2.5 to get the corresponding side length of the larger prism

4*2.5 = 10

This linear scale factor is then cubed to get the volume scale factor

(2.5)^3 = 15.625

Which tells us:

larger volume = 15.625*(smaller volume)

smaller volume = (larger volume)/15.625

smaller volume = (1625)/15.625

smaller volume = 104 cubic inches

========================================================

Problem 2

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

Explanation:

We will go back to the linear scale factor of 2.5

This time, we square it to get (2.5)^2 = 6.25

This is the surface area scale factor.

larger surface area = 6.25*(smaller surface area)

larger surface area = 6.25*(104)

larger surface area = 650 square inches

Answer:

Your answer is no.

Step-by-step explanation:

It is only proportional up till 3/84, the next one is 4/112, not 4/100

The first term, f(1) = 4, to find the second term,

which is f(2-1) = f(1) = 4, so second term, f(2) = 4+5

hence 9, to find the terd term,

which is f(3-1) = f(2) = 9, so terd term, f(3) = 9+5

hence 14, so common difference is 5.

12 term is 59.

7m-7-6m-16=1+4m

7m - 6m - 7 - 16 = 1 + 4m

    m       -   23  = 1 + 4m

m - 23 + 23 = 1 + 23 + 4m

m = 4m + 24

m - 4m = 4m - 4m + 24

-3m = 24

m = 24: (-3)

m = - 8

hi again,

7m-7-6m-16=1+4m

7m-6m-4m=1+7+16

-3m=24

m=24/-3

m=-8

Hope this helps

Answer:

3x + 6y = 108

Step-by-step explanation:

If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.

Answer: Option 4 - 1440

Step-by-step explanation:

2 Square Sides : Take 12 times 12 and times by two for both sides.

12 x 12 = 144     144 x 2 = 288

4 rectangular sides : The multiplication of 12 times 24

12 x 24 = 288    288 x 4 = 1152

Added All Together : 288 + 1152 = 1440

Answer:

[tex]8y = 20x[/tex]

Step-by-step explanation:

Given

[tex]y=\dfrac{5}{2}x[/tex]

Required

Determine equivalent expressions

A. 5y = 2x

[tex]y=\dfrac{5}{2}x[/tex]

Multiply through by 5

[tex]5 * y=\dfrac{5}{2}x * 5[/tex]

[tex]5y=\dfrac{25}{2}x[/tex]

This is not equivalent

B.  8y = 20x

[tex]y=\dfrac{5}{2}x[/tex]

Multiply both sides by 8

[tex]8 *y=\dfrac{5}{2}x * 8[/tex]

[tex]8y=\dfrac{5 * 8}{2}x[/tex]

[tex]8y=\dfrac{40}{2}x[/tex]

[tex]8y = 20x[/tex]

The other options are not clear.

However, another possible relationship is when

[tex]y=\dfrac{5}{2}x[/tex]is cross multiplied

This gives:

[tex]2y = 5x[/tex]

Answer:

d=          y =x

Step-by-step explanation

i clicked on all the awnser and got it write

Answer:

Her pay for the week= $ 611.325

Step-by-step explanation:

Sallie is paid $ 11.40 per hour for regular hours.

The total regular hours worked during the week are

Monday + Tuesday + Wednesday + Thursday+ friday = 8 + 8+ 8+6+8= 38 hours

She works overtime during the week

Monday + Tuesday + Wednesday = 2+ 1/4+  1 1/2=  2+ 1/4 + 3/2

= 8 +1+ 6/4=15/4 = 3 3/4 hours

Over the weekend she works five hours .

So the total pay would be

$ 11.40( 38 ) + $ 11.40( 1.5) (  15/4) + $ 11.40 ( 2) ( 5)

= 433.2 + 64.125 + 114.0

= $ 611.325

Answer:

x-intercept: (15/7 , 0)

y-intercept: (0, 5/2)

*just plug in y=0 to find the X-intercept and x=0 for the y-intercept

Answer:

yes

Step-by-step explanation:

because when you include the steps, you can find out where you made a mistake (in case) and correct it easily.

Answer:

x + 4y = 16

Step-by-step explanation:

have a good day

Answer:

x + 4y = 16

Step-by-step explanation:

Answer:

10 hours

Step-by-step explanation:

First we need to find the rate Chad is driving. The rate is equal to distance/time, so we do 168/2, which is 84 mph. Then we have to find the time, which is distance/rate, so that would be 840/84, which is 10 hours.

Answer:

10 hours

Step-by-step explanation:

If Chad drove 168 miles in 2 hours than he drove 84 miles in one hour. If he drove 840 miles than you divide 840 by 84 and you get 10 hours. To check your work you can do 84*10= 840 miles 84=representing the miles per hour and 10=representing the amount of hours he drove.

When a right cylinder is sliced perpendicular to its base, the cross section that we will have is

D. Rectangle

Description of Rectangle

A rectangle is a solid shape with six faces and four vertices, it has two of it sides equal.

Description of Cylinder

We have the square based cylinder, the triangular base cylinder etc.

Unlike the Rectangle, the cylinder has no vertice.

Please see attached the image of cylinders

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Answer:

The players club is playing with the players

Step-by-step explanation:

give me a good Answer to my Question

What is the scale factor of this dilation? a:1/2 b:2/3 c:3/4 d:3/2

Answer:

The answer is 4.35, rounded two decimals to hundredths place.

some text here to make the answer slightly longer for some good reasons. yep.

Answer:

No

Step-by-step explanation:

the value x is used twice, meaning when graphed it is going to meet to points at the same time, which makes it not a functions.

- i hope this makes sense

The best apporximation for the volume of this ball is 382 cubic inches.

The volume of the ball is calculated by the formula V = 4 / 3πr³. This formula is the same in the whole world.

Given

A regulation basketball has a diameter of about 9 in.

The radius of the ball is;

[tex]\rm Radius = \dfrac{Diameter}{2}\\\\Radius=\dfrac{9}{2}\\\\Radius=4.5\ inches[/tex]

The volume of the ball is;

[tex]\rm Volume =\dfrac{4}{3}\pi r^3\\\\Volume=\dfrac{4}{3} \times 3.14 \times 4.5^3\\\\Volume =\dfrac{144.53}{3}\\\\Volume = 381.51\\\\Volume = 382 \ In^3 \ apporx[/tex]

Hence, the best apporximation for the volume of this ball is 382 cubic inches.

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Answer:

the number is 30

Step-by-step explanation:

the formula i used goes like this

x+2x=45

3x=45

x=15

2x=30

So x is equal to the half number, therefore 2 times x is the whole number. Then you just do algebra to figure it out from there! hope this helps.

Answer:

La inclinación de una recta esta definida como el ángulo entre el eje x positivo y la recta.

Primero, podemos escribir genéricamente una recta como:

y = p*x + s

donde p es la pendiente de la recta, y s es la ordenada al origen.

Sabemos que para una recta que pasa por los puntos (a, b) y (c, d) podemos escribir la pendiente como:

p = (d - b)/(c - a)

Y también sabemos que si θ es el ángulo de inclinación, entonces:

p = tan(θ)

Entonces en este caso sabemos que:

p = tan(71.56505118°) = -0.828

Entonces esta recta es:

y = -0.828*x + s

y sabemos que pasa por el punto (1, 2), entonces podemos remplazar esos valores en la ecuación para encontrar el valor de s.

2 = -0.828*1 + s

s = 2 + 0.828 = 2.828

La ecuación es:

y = -0.828*x + 2.828

Answer:

A, D

Step-by-step explanation:

The graph of a proportional relation is a straight line that passes through the origin.

Answer: A, D

The finance charge of April month of Hannah's credit card which is calculated by daily balance method is $3.30.

The finance charge is the amount of the money which borrowed, including the interest amount and other fees.

The following table shows Hannah’s transactions in the month of April.

       Date       Amount ($)   Transaction  

        4/1        322.95           Beginning balance

        4/10      19.87               Purchase    

        4/14      50.00              Payment  

        4/19      71. 21                Purchase

Average balance in the account,

[tex]A=(322.95\times10)+[(342.87)\times4]+(292.82\times5)+(364.03\times11)\\A=10069.41[/tex]

Hannah has a credit card with an APR of 11. 90% and a billing cycle of 30 days. The finance charges,

[tex]\rm FC=\dfrac{10069.41\times11.9}{365\times100}\\FC\approx3.30[/tex]

Hannah’s credit card company calculates finance charges using the daily balance method,

The finance charge of April month of Hannah's credit card which is calculated by daily balance method is $3.30.

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Answer:

2007.04

Step-by-step explanation:

Answer:

5.5 hours

Step-by-step explanation:

For every 1 hour, there is a 0.8 degrees Celsius drop in temperature.

Let "t" represent the total amount of temperature dropped.

Let "h" represent the number of hours

The given scenario can be represented with the equation below:

[tex] t = 0.8h [/tex]

To find the number of hours (h), it takes for the temperature to decrease by 4.4 degrees Celsius, plug in the value of t in the equation, and solve for h.

[tex] t = 0.8h [/tex]

[tex] 4.4 = 0.8h [/tex]

Divide both sides by 0.8

[tex] 5.5 = h [/tex]

It would take 5.5 hours for the temperature to decrease by 4.4 degrees Celsius.

8. 4x²+3y = 4(4)²+3(5) = 4(16)+15 = 64+15 = 79

basically you have to substitute the variable for the given value. (ex. x is replaced by 4 and y is replaced by 5 and z is replaced by 3) FOR BOTH PROBLEMS!

9. (y+z)/x = (5+3)/4 = 8/4 = 2

Answer:

p=108

Step-by-step explanation:

Answer:

108 ft^2

Step-by-step explanation:

_____________

|                           |

|                           |

|                           |   40ft

|                           |

|                           |

_____________

           14ft

40+40+14+14 = 108 ft squared

Answer:

11

Step-by-step explanation:

Step-by-step explanation:

Hey there!

Here;

The equation is; y = 3x + 2

X = -2 -1 1 2

y = -4 -1 5 8

Now; the coordinates are ; (-2,-4), (-1,-1), (1,5), (2,8).

After this plot them on graph.

Hope it helps..

Answer:

Volume of the cylinder is. 1017.36

Step-by-step explanation:

[tex]V=\pi r^2h[/tex] is the area of a cylinder.

Let's plug in our values.

-----

3.14 = pi

9 = radius

x = height

-----

V = (3.14)(9)^2(4)

V = (3.14)(81)(4)

V = (3.14)(324)

V = 1017.36