solve the following systems of equations.
5x+3y+4z=1
4x-7y+3z=0
x+5y-2z=-11

Answer:

10/Z=6/15

Step-by-step explanation:

To find the missing measurement we need to use similarity ratio

10/Z=6/15 cross multiply expressions

15z = 60 divide both sides by 15

z = 4

Answer:I think it would be 3 cups per day it would only make sense :)

Step-by-step explanation:

Answer:

Area = [tex]9x^2[/tex] square units

Step-by-step explanation:

Key skills needed: Area of a parallelogram

1) This shape is a parallelogram, and the way to find the area of a parallelogram is:

                                [tex]A = bh[/tex]

A = area

b = base (the side at the bottom

h = the height ( the length that runs from one side to another and makes a right angle)

2) The base (b) would be 3x. The height (h) would also be 3x

3) This means A = [tex]3x(3x)[/tex]

3 times 3 is 9 --> and x times x is [tex]x^2[/tex]

Therefore the area is --> [tex]9x^2[/tex]

Hope you understood and have a nice day!! :D

Answer:

Yes, because the distance increases by 50 each hour.

Step-by-step explanation:

If you look at the right side of the graph, it increases by 50 each hour.

Just calculate! :)

Hope this helps! :)

Answer:

it's C.

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

Answer:

Koichi was here

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

a^2+b^2=c^2

5^2+12^2=c^2

c=13

Answer:

The total amount of ticket sales on this day is $1530.

Step-by-step explanation:

From the information given, the total amount of ticket sales would be equal to the result of multiplying the number of regular tickets sold for its price plus the number of matinee tickets sold for its price, which would be:

Ticket sales=15R+12M, where

R= number of regular tickets sold= 70

M= number of matinee tickets sold= 40

Now, you can replace these values on the formula to find the total amount of ticket sales on this day:

Ticket sales=15(70)+12(40)

Ticket sales=1050+480

Ticket sales=1530

According to this, the answer is that the total amount of ticket sales on this day is $1530.

Step-by-step explanation:

y=mx+c

2=(-4)(1)+c

2=-4+c

c=2+4

c=6

therefore the answer is...

y=-4x+6

Answer:

(-2,-1)

Step-by-step explanation:

Midpoints are found when you do ([x(subscript A) + x(subscript B)]/2, [y(subscript A) + y(subscript B)]. Therefore your equation (for x of B) should look like this:

-4 = ([-6+x]/2)

After you solve for x, you should have gotten -2 for x.

Then you do the same for y:

2 = ([5+y]/2)

You should get -1. Your final answer should be (-2, -1)

Answer:

Step-by-step explanation:

Part A

Part B

The result of 490 divided by 7 is 70.

To calculate 490 divided by 7, we can perform long division as follows:

        70

   __________

7  |  490

   -  49  (7 times 7)

   _______

         0  (no remainder)

In the first step, we divide 7 into the first digit of 490, which is 4. The quotient is 0, and we bring down the next digit, which is 9.

Next, we divide 7 into 49. The quotient is 7, and there is no remainder.

Therefore, the answer to 490 divided by 7 is 70.

To know more about divided, refer here:

https://brainly.com/question/15381501

#SPJ6

Answer:

x  = 7.99952994

Answer:

Explanation below

Step-by-step explanation:

Vertical Shift of Functions

Given a linear function

y = mx + b

The value of b is called the y-intercept or the y-coordinate where the line crosses the y-axis. If the function is shifted up by a value of k, then the new function is:

y' = mx + b + k

Similarily to shift the function down, the value of k is subtracted:

y''= mx + b - k

We are given the function:

[tex]\displaystyle y=\frac{2}{3}x+2[/tex]

1) To shift up the line, we select a value of k=10. The new shifted-up function is:

[tex]\displaystyle y=\frac{2}{3}x+2+10[/tex]

[tex]\displaystyle y=\frac{2}{3}x+12[/tex]

2) To shift down the line, we select a value of k=5. The new shifted-down function is:

[tex]\displaystyle y=\frac{2}{3}x+2-5[/tex]

[tex]\displaystyle y=\frac{2}{3}x-3[/tex]

3) To shift to the origin, we must select a specific value of k that cancels the y-intercept. We must shift down by k=2:

[tex]\displaystyle y=\frac{2}{3}x+2-2[/tex]

[tex]\displaystyle y=\frac{2}{3}x[/tex]

This new function has the y-intercept equal to 0

Answer:

$3.25

Step-by-step explanation:

So,

If a package of 17 sliced apples is $2.21, lets find out the price per apple.

2.21 / 17 = 0.13

so, the price per apple is $0.13

Now, we find the price of a package with 25 sliced apples.

0.13 x 25 = 3.25

So, the price of a package with 25 sliced apples is $3.25

Hope this helps!

Step-by-step explanation:

we know that,

《opposite angle are equal in a rhombus 》

HERE,

one angle =2x

Opposite angle =3x-40

According to the question,

[tex]\tt{ 2x=3x-40 }[/tex]

[tex]\tt{3x=2x+40 }[/tex]

[tex]\tt{3x-2x=40 }[/tex]

[tex]\tt{ x=40 }[/tex]

#quality answer

[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]

In this given rhombus,

we know that

[tex]\boxed{\sf{opposite~ angle~ are~ equal ~in~ a~ rhombus }}[/tex]

According to the question,

Therefore.

The value of x In the given rhombus is 40°

The question is incomplete:

Lin is shopping for a couch with her dad and hears him ask the salesperson, "How much is your commission?" The salesperson says that her commission is 5.5% of the selling price. How much commission will the salesperson earn by selling a couch for $495?

Answer:

The salesperson will earn $27.22 as comission by selling a couch for $495.

Step-by-step explanation:

From the information given, you know that Lin's comission is 5.5% of the selling price, so in order to find the amount of the commision the salesperson will earn you have to calculate 5.5% of the selling price:

495*5.5%=27.22

According to this, the answer is that the salesperson will earn $27.22 as comission by selling a couch for $495.

Answer:

58.1cm

Step-by-step explanation:

perimeter of a semi-circle = πd/2

d is the diameter

Given

diameter = 37cm

Perimeter of the semi circle =  π(37)/2

Perimeter of the semi circle = 18.5(3.14)

Perimeter of the semi circle = 58.09 cm

Hence the perimeter of the semi-circle is 58.1cm

Answer:

The equation in slope-intercept form of the line that passes through the point (12, 5) and is perpendicular to the line is:

Step-by-step explanation:

We know the slope-intercept form of the line equation

[tex]y=mx+b[/tex]

where m is the slope and b is the y-intercept

Given the line

[tex]y=34x-8[/tex]

comparing with the slope-intercept form of the line equation

The slope m = 34

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:  

slope = m = 34

Thus, the slope of the the new perpendicular line = – 1/m = -1/34 = -1/34

Using the point-slope form

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope of the line and (x₁, y₁) is the point

substituting the values of slope = -1/35 and the point (12, 5)

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-5=-\frac{1}{34}\left(x-12\right)[/tex]

Add 5 to both sides

[tex]y-5+5=-\frac{1}{34}\left(x-12\right)+5[/tex]

[tex]y=-\frac{1}{34}x+\frac{91}{17}[/tex]

Therefore, the equation in slope-intercept form of the line that passes through the point (12, 5) and is perpendicular to the line is:

Answer:

The other answer is x = 1

Answer:

0.9375 ; 0.5

Step-by-step explanation:

Given that :

p = 0.5

Probability model for the Number of girls the couple has :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

P(x = 0) = 4C0 * 0.5^0 * 0.5^4 = 0.0625

P(x = 1) = 4C1 * 0.5^1 * 0.5^3 = 0.25

P(x = 2) = 4C2 * 0.5^2 * 0.5^2 = 0.375

P(x = 3) = 4C3 * 0.5^3 * 0.5^1 = 0.25

P(x = 4) = 4C4 * 0.5^4 * 0.5^0 = 0.0625

Probability of having atleast one girl

Number of trials, n = 4

P(x ≥ 1) = p(x = 1) + p(x = 2) + p(x = 3) + p(x = 4)

Using the relation :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

Using calculator ;

P(x ≥ 1) = 0.9375

Probability of having exactly one boy or exactly one girl

1 boy 3 girls OR 1 girl 3 boys

P(x = 1)

P(x =x) = nCx * p^x * (1 - p)^(n - x)

P(x = 1) = 4C1 * 0.5^1 * 0.5^3

P(x = 1) = 4 * 0.5 * 0.125

P(x = 1) = 0.25

The probability of having one girl, 3 boys and vice versa is 0. 25

Hence, Probability of having exactly one boy or exactly one girl

0.25 + 0.25 = 0.5

Answer:

36

Step-by-step explanation:

9*4=36

Answer:

36

Step-by-step explanation:

9x4=36

36 divided by 9=4

Answer:

Answer: The equation is

The cost of 18 roses is 53.10.

Step-by-step explanation:

Given:

A florist sells a dozen roses for 35.40. She sells individual roses for the same unit price.

Now, to find the cost of 18 roses and write an equation to represent the relationship between the number of roses, x, and the total cost of the roses, y.

1 dozen = 12.

Now, to get the cost of 18 roses we use unitary method:

If 12 roses cost = 35.40.

So, 1 roses cost = 2.95.

Thus, 18 roses cost = 53.10.

Therefore, the cost of 18 roses = 53.10.

Now, to write an equation the relationship between the number of roses and the total cost of the roses:

Cost of per rose = 2.95.

As, given in question:

Number of roses =

Total cost of the roses =

Total cost of the roses = Cost of per rose × Number of roses.

So, the equation is:

Therefore, the equation is And the cost of 18 roses is 53.10.

Step-by-step explanation:

Answer:

16.25

Step-by-step explanation:

Answer:

48.75

Step-by-step explanation: