Write the following equation in standard form.

y=5x+9

Answer:

y= 2x - 19/3

Step-by-step explanation:

6x-3y=19

3y=6x-19

y=2x- 19/3

slope: 2

y-intercept: -19/3

Answer:

11>52/9

Step-by-step explanation:

52/9 = 5.7777....

11> 5.77777....

Given :

Stephanie took a science exam that had two parts. Part 1: She got 16 questions correct, which was 4/5 of the number of part 1 questions. Part 2: She got 16 questions correct, which was 2/3 of the number of part 2 questions.

To Find :

The total number of questions on Stephanie's exam.

Solution :

Let, number of questions in Part 1 is x :

[tex]16=\dfrac{4}{5}x\\\\x=20[/tex]

Let, number of questions in Part 2 is y :

[tex]16=\dfrac{2}{3}y\\\\y=24[/tex]

Therefore, total number of questions on Stephanie's exam are 20 + 40 = 60.

Hence, this is the required solution.

Answer: 238

Step-by-step explanation: 10% of 280 is 28. 1% of 280 is 2.8. Multiply 2.8 times 5 and you get 14. Add 10% and 5% (28+14) and you get 15% which is 42. Subtract 42 from 280 and you get 238.

Answer:

232 students are enrolled this year.

Step-by-step explanation:

Since 15% of the enrollment of the previous year is gone, you must take 15% of the total number of students and subtract that from the total number of students.

[tex]280*0.15=42[/tex]

This tells us that the 15% decrease means there are 42 fewer students enrolled this year. Now you would just subtract 42 from 280.

280 - 42 = 232

Answer:

perimeter = 32

area = 60

Responder:

2560

Explicación paso a paso:

Dado lo siguiente:

Precio del automóvil = 60000

Cuota inicial = 20% del precio = (0.2 * 60000 = 12,000

Saldo = (60000 - 12000) = 48000

La empresa cobra un interés simple del 12% cada 6 meses

Periodo de pago = 30 meses / 6 = 5 periodos

Interés simple: p * r * t

= 48000 * 0,12 * 5 = 28800

Por lo tanto, monto total a reembolsar, incluidos los intereses:

Balance + 28800; 48000 + 28800 = 76800

El reembolso mensual es fijo;

Por lo tanto,

76800/30 = 2560

Answer:

Hi there!

Your answer is:

Perform the translation:

x-10

y-3

Step-by-step explanation:

A translation is how many units X moved left/right and how many units Y moved up/down!

In your case, X went left and Y went down! This means there was  a DECREASE in both of these values!

We can determine this by choosing one point and counting how many units it moved.

Lets use the point on figure 1 at (2,5)

Where did it move on figure 2? (-8, 2)

How many units left did it go? 10!

How many units down did it go? 3!

Rigid transformations is preservative of the distance between pairs of points on the figure. Horizontal and vertical translations are rigid motion transformation such that the shape and size of the figure do not change;

The sequence of translation used to move Figure 1 onto Figure 2 is T₍₋₁₀, ₋₃₎

Translate Figure 1, ten units left and three units down to move Figure 1 onto Figure 2

The reason the above sequence is correct is as follows:

Given that translations are rigid motion, we have;

The sequence of translation that will move a point on Figure 1 to the corresponding point on Figure 2 is the same as the sequence of translation used to move Figure 1 to Figure 2

The coordinates of the point on the top right corner of Figure 1 is (6, 8)

The coordinates of the corresponding point in Figure 2 is (-4, 5)

The sequence of translation, T, is given by the difference of the coordinates as follows;

The sequence of translation is T₍₍₍₋₄₎ ₋ ₆₎, ₍₅ ₋ ₈₎₎ = T₍₋₁₀, ₋₃₎

Therefore, the sequence of translation are;

1) Shift Figure 1,  10 units to the left then 2)  Shift Figure 1, 3 units down to move Figure 1 to Figure 2

Learn more about rigid transformations here:

https://brainly.com/question/23461633

Answer:

At year 3 and beyond, The investment will have a value less than $2,000.

t=3.

Step-by-step explanation:

Answer:

So if 5 soda cost $3.75 per can, multiply 3 times $3.75 and that would be your answer:  $11.25

Step-by-step explanation:

Answer:

parent funiction y=|x|

hozonital shift right 3 units

vertical shift up 1 units

reficlation none

vertical none

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

BECAUSE the number of hrs he works his salary multiplies

hope this helps..

Answer:

17.19

Step-by-step explanation:

First, you add 7.62 and 5.97. This leaves you with 13.59 + 3.6, and you add these together to get 17.19. That is your answer :)

9514 1404 393

Answer:

  9

Step-by-step explanation:

The 4th term is the sum of the first term and 3 times the common difference.

  50 = 23 + 3d

  27 = 3d

  9 = d

The common difference is 9.

__

The first few terms are ...

  23, 32, 41, 50, 59, 68, ...

Answer:

[tex](h\circ g)(d)=-8d +23[/tex]

Step-by-step explanation:

Composite Function

Given g(d) and h(d) real functions, the composite function named (hog)(d) is defined as:

[tex](h\circ g)(d)=h(g(x))[/tex]

For practical purposes, it can be found by substituting g into h.

The functions g and h are given as:

[tex]g(d) = 2d - 5[/tex]

[tex]h(d) = -4d +3[/tex]

Substituting g into h:

[tex](h\circ g)(d)=-4(2d - 5) +3[/tex]

Operating:

[tex](h\circ g)(d)=-8d +20 +3[/tex]

[tex]\boxed{(h\circ g)(d)=-8d +23}[/tex]

Answer:

See below

Step-by-step explanation:

(-4, 8) has to be the solution.

1st equation: -4x+8y = 1

2nd equation: 8x - 4y = 1

These should work. Do the matrix-substitution combo method to see:

-4  8  1

.8 -4  -1

Reduce and and matrix-substitution combo:

1 0 -4

0 1  8

The reduced eckerd form of the matrix shows that the solutions are (-4, 8)

Therefore it -4x + 8u = 1 and 8x - 4y = 1 are the two equations for the system.

Answer:

I think it's A

Step-by-step explanation:

the point is touches the y axis is 2

Answer:

tan x

Step-by-step explanation:

(tan-x)[sec(pi/2)-x] (sin-x)

We know that tan (-x) = - tan (x)  and sin (-x) = - sin (x)

-(tanx)[sec(pi/2)-x] -(sinx)

(tanx)[sec(pi/2)-x] (sinx)

Using the identity sec = 1/ cos

sec ( pi/2 -x) =1/cos ( pi /2 -x)

We know that cos (s-t)=cos (s) cos(t) + sin (s) sin (t)

1/ ( cos  pi/2  cos x + sin pi/2 sin x) = 1/(0 cos x - 1 sinx) = 1 / sinx

Replacing into the equation

(tanx)[1/ sinx] (sinx)

tan x

Answer:

y = 3/ 4 x + 1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

The only factor they have in common is 1

Answer:

C, 25%

Step-by-step explanation:

25% = 1/4

1/4 of 60 = 15

60 - 15 = 45

Answer:

23760 pounds

Step-by-step explanation:

396 passengers

60 pounds for each passenger

total pounds plane can carry=passengers × pounds

= 396×60

= 23760 pounds

....

Answer:

Volume of a cuboid or rectangular tank = side × side × side

or

volume of a cuboid or rectangular tank = length× width × height

volume of the rectangular tank = 76 × 50 × 40

volume of the rectangular tank = 152000cm³

Therefore the rectangular tank can hold 152000cm³ litres of water

If we multiply 3.2 x 30, the answer is 96.

Brayden would make the most shots in 30 attempts.

Answer: The sprayer can hold 150 ounces, and Pam needs to add 120 ounces of water.

Step-by-step explanation:

The data that we know is:

We must use 30 oz of cleaning concentrate.

The end product must be 80% water and 20% cleaning concentrate.

This means that:

Mass of water/total mass in the sprayer = 0.8

mass of cleaning concentrate/total mass in the sprayer = 0.2

Then, let's define the variables:

X = ounces that the sprayer can hold.

Y = ounces of water added.

Then we have the equations:

30oz + X = Y.

30oz/Y = 0.20

X/Y = 0.80

From the second equation we can find the value of Y.

30oz = 0.20*Y

30oz/0.20 = Y = 150oz.

Then the sprayer can hold 150 ounces.

Now from the third equation we have:

X/Y = 0.8

We know that Y = 150oz

Then:

X/150oz = 0.8

X = 0.8*150oz = 120 oz.

Then the water that must be added is 120 ounces.

Answer:57

Step-by-step explanation:

Answer:

6/12 or 1/2

Step-by-step explanation:

Since 11/12 and 5/12 have the same denominator (12), I didn't need to worry about anything pertaining to it. And because I didn't need to do anything that had to do with the denominator (12), I just did 11-5 (6), and made it 6/12, which is equivalent to 1/2. Hope this helped!

Answer:6/12

Step-by-step explanation: Step 1

Since our denominators match, we can subtract the numerators.

11 − 5 = 6

So the answer is:

6

12