What is , Pd?
24
4
1
16

Using a system of equations, it is found that 595 students picked Science as their favorite subject.

For our system, we suppose that x is the number of students that picked science, and y is the number of students that picked math.

Ratio of science to math of 3:5, thus:

[tex]\frac{x}{y} = \frac{3}{5}[/tex]

Then

[tex]5x = 3y[/tex]

[tex]x = \frac{3y}{5}[/tex]

238  more students picked Math as their favorite subject, thus:

[tex]y = 238 + x[/tex]

[tex]y - \frac{3y}{5} = 238[/tex]

[tex]\frac{2y}{5} = 238[/tex]

[tex]y = \frac{238(5)}{2}[/tex]

[tex]y = 595[/tex]

595 students picked Science as their favorite subject.

A similar problem is given at https://brainly.com/question/21244414

Answer:

its=> 3×4=-3-6(use a caculator now)

Answer:

Step-by-step explanation:

The formed triangles are similar and the ratio of corresponding sides is equal:

The light source should be at 3 m height

Both triangles are congruent so

[tex]\\ \bull\sf\longmapsto \dfrac{x}{4}=\dfrac{9}{12}[/tex]

[tex]\\ \bull\sf\longmapsto 12x=36[/tex]

[tex]\\ \bull\sf\longmapsto x=3[/tex]

Light source should be at 3m

Answer:

x=4

Step-by-step explanation:

Its an equilateral triangle so all angles and side lengths are the same.

2x-1=x+3

x=3+1

x=4

checking the work

4+3=8-1

7=7

Answer:

f(-3) = (-3)^2 + (-3) = 9 - 3 = 6

Answer:

I believe the answer is 6

Step-by-step explanation:

1) If f(-3), x is equal to -3 ( I think )

2) f(x) = -3^2 + (-3)

3) f(x) = 9 - 3

4) f(x) = 6

The answer is f(x) = 6

Answer:

Step-by-step explanation:

  x + 6 I x³ + 2x²  - 10x + 84   I   x² - 4x + 14

              x³ + 6x²

            -     -      

                     -4x² - 10x

                    -4x²  - 24x

                    +       +    

                               14x + 84

                                14x + 84

                                -      -      

                                     0

P(x)  =(x +6)* ( x² - 4x + 14) + 0

Answer:

I think the first one is x < 2 and the second is x > 3

Answer:

Step-by-step explanation:

triangle area = b*h/2

base = 2*area : h

2 * 54 : 6 =

18

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

18*6:2= 54

the answer is good

Answer: The new scale factor needs to be 10/3

Explanation:

Consider a line segment that is 10 units long. Apply the scale factor 3/10 to it, and now it's 3 units long because (3/10)*10 = 3.

To get it back to 10 units, we multiply by the scale factor 10/3 which is the reciprocal of the original scale factor. Note that (3/10)*(10/3) = 1. Those two scale factors multiply to 1 to indicate no change has been made overall.

Answer:

x = X + 33 (I am guessing "x" and "X" are not the same. "x" is a variable and "X" is a constant.)

Step-by-step explanation:

31 - X + (2x+1) = x - 1

or, 2x+1 = x - 1 - 31 + X

or, 2x - x = -1 -31 + X -1

or, x = -2 -31 + X

or, x = X - 33

Answer:

ninety eight thousand two hundred forty eight

Answer:

Ninety-eight-thousand-and-two-hundred-and-forty-eight

Step-by-step explanation:

Answer:

The answer is 24

Step-by-step explanation:

Answer:

The answer is 24 or D

Step-by-step explanation:

Well, first you need to figure out the equation in these [ ].

[-5 (2-4) ÷ 2]

[-5 (-2) ÷ 2] ---> -5(-2) = -5 x -2

[10 ÷ 2]

[5]

Then, you need to complete the equation in these { }

{3+[5]} OR {3+5}

{8}

Then, you need to finish the equation!

{8} · 3 OR 8 x 3

__________________________

Hope this helped!

Answer:

Each of the congruent angles is 34

Step-by-step explanation:

A = 112                               A is the given angle

A + x + x = 180                   A + x + x = 180 All triangles have 180 degrees  

112 + x + x = 180                 Combine

112 + 2x = 180                     Subtract 112 from both sides

112-112 + 2x = 180 - 112       Combine

2x = 68                                Divide both sides by 2

2x/2 = 68/2

x = 34

Answer:

-18/10

Step-by-step explanation:

I think that is correct

Answer:

1 17/20

Step-by-step explanation:

if you × 8/10 it by 2 = 16/10

Answer:

18

Step-by-step explanation:

Answer:

Move the decimal point in 407.26 three places to the left = 0.407283

Step-by-step explanation:

Answer:

3, left

Step-by-step explanation:

When you're dividing a number by any power of 10 that is a whole number (10, 100, 1000, etc.), you move the decimal point to the left as many times as there are zeroes in the digit.

Examples:

30.22 ÷ 100 = 0.3022

There are two zeroes in 100, so move the decimal point two spaces to the left.

568.9 ÷ 10000 = 0.05689

There are four zeroes in 10000, so move the decimal point four spaces to the left.

The given equation in the problem is 407.26 ÷ 1000, so you move the decimal point 3 spaces to the left to find the correct answer.

Answer:

1. y-4=1/3(x-3)

used (3,4)

2. y-7=3(x-3)

used (3,7)

Answer:

Step-by-step explanation:

For the translation find the distance between corresponding points of A and A'. It is 5 units.

We see the figures A' and A'' are symmetrical and the sides on the x-axis overlap. It means the center of dilation is the origin, the point (0, 0).

Find the scale factor by dividing the corresponding x- or y- coordinate of A'' to the one of A'.

Take points (-2, 0) of A' and (-3, 0) of A''.

The scale factor is:

9514 1404 393

Answer:

  A. d + j = 21,000; 2d − 2,000 = j

  d = $7,666.67; j = $13,333.33

Step-by-step explanation:

The relationships given in the problem statement are ...

  d + j = 21,000 . . . . .  the total of the two loans is $21,000

  2d -2000 = j . . . . . . Jen's is $2000 less than twice David's

__

These equations can be solved by substituting for j:

  d +(2d -2000) = 21000

  3d = 23000 . . . . . . . . . . . add 2000, collect terms

  d = 23000/3 = 7666.67 . . . divide by the coefficient of d

  j = 21000 -d = 21000 -7666.67 = 13333.33

Jen's loan is $13,333.33; David's loan is $7,666.67.

Domain:

Range:

Function:

Domain:

Range:

Function:

Domain:

Range:

Function:

Answer:

The slope is [tex]\frac{9}{16}[/tex]

Step-by-step explanation:

Hi there!

We are given the points (29, 11) and (-3, -7), and we want to find the slope of them.

The slope can be calculated from two points with the slope formula, which is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points.

We have two points given, but let's label their values to avoid any confusion when we actually calculate:

[tex]x_1=29\\y_1=11\\x_2=-3\\y_2=-7[/tex]

Now substitute into the formula (m is the slope).

m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m=[tex]\frac{-7-11}{-3-29}[/tex]

Subtract

m=[tex]\frac{-18}{-32}[/tex]

Reduce the fraction

m=[tex]\frac{9}{16}[/tex]

The slope is [tex]\frac{9}{16}[/tex]

Hope this helps!

Answer:

C) 3,192 Canadian dollars

Step-by-step explanation:

$2,400 x 1.33 = $3,192

Answer:

57,600

Step-by-step explanation:

720 * 80 = 57,600

Answer:

9

Step-by-step explanation:

You divide the answer with the first number and you'll get the answer, 9.

Answer:

0.42484

Step-by-step explanation:

place them on top of each other but the bottom one has to leave a space and put a zero in that space also go by the order of the decimal do not do 8.17 0.052 it will not give you the correct answer so they put it in a way to give you an answer. you should write it like this     0.052

                                                                  x 8.170

                                                                    _____

I hope this helps! If you can, can I have brainlest? I really want to level up.

Answer:

The slope of the graph is 7/10

y = x - 880 ==》 x = y + 880 ( ☆ )

_________________________

3y = 1040 - x =☆=》 3y = 1040 - ( y + 880 )

====》 3y = 1040 - y - 880

====》 3y + y = 1040 - 880

====》 4y = 160

====》 y = 160 ÷ 4

====》 y = 40

I have no idea to be honest with you

Answer:

Step-by-step explanation:

Cuz I'm smart :)

Hope this helps :]  

pls make brainliest :3  

and have an amazing day <3