What is the value of z?
=

Answer:

x = 4

y = 3

Step-by-step explanation:

Remark

If a triangle is equilateral all three sides are equal. So each side has equal statements.

Solution

3x + 2 = 5x - 2y            Subtract 3x from both sides

2 = 5x -3x - 2y              Combine

2 = 2x - 2y                     divide by 2

x - y = 1                          Equation 1

3x + 2 = 6y - 4            Equilateral triangles have equal sides. Subtract 6y

3x - 6y + 2=  - 4          Subtract 2

3x - 6y = -4 - 2

3x - 6y = - 6                Divide by 3

x - 2y = - 2                  Equation 2.

Now subtract equation 1 from equation 2

x - 2y = - 2

x -  y    =  1                    Subtract

  - y    = - 3                   Multiply by -2

    y = 3

Put y = 3 into equation 1

x - y = 1

x - 3 = 1                         Add 3 to both sides.

x = 4

Answer

x = 4

y = 3

Answer:

wut

Step-by-step explanation:

Answer:

A. Weeks

B. Fingernail growth

C. 1, 2, 3, 4 (weeks)

D. 0.7, 1.4, 2.1, 2.8 (mm)

Step-by-step explanation:

ez

Answer:

3!!!

Step-by-step explanation:

|2(-6)+5| - 8((1)/(2))

hope this helped ahahaa <3

Answer:

6.58 miles per hour

Step-by-step explanation:

Let the mass and speed be represented by m and s respectively. So that,

m [tex]\alpha[/tex] [tex]s^{5}[/tex]

m = k[tex]s^{5}[/tex]

where k is the constant of proportionality.

For a certain river, speed = 4 miles per hour.

m = k [tex](4)^{5}[/tex]

m = 1024k ............ 1

In order to transport particles that are 12 times as massive as usual;

12m = k[tex]s^{5}[/tex]

m = [tex]\frac{ks^{5} }{12}[/tex] ............. 2

Thus,

[tex]\frac{ks^{5} }{12}[/tex] = 1024 k

[tex]s^{5}[/tex] = 12 x 1024

   = 12288

[tex]s^{5}[/tex] 12288

s = [tex]\sqrt[5]{12288}[/tex]

  = 6.5750

s = 6.58 miles per hour

Therefore, its speed must be approximately 6.58 miles per hour.

Answer:

i. x² + 7x - 16800 = 0 ii. x = 126.16 km/h or -133.16 km/h iii. 5.01 h

Step-by-step explanation:

i. If he drove at an average speed of x km/h on his journey from City P to City Q formulate an equation in x and show that it reduces to x2 + 7x – 16 800 = 0.

For the first journey from City P to City Q, with Mr Lee moving at an average speed of x km/h, he reaches there in time, t and covers the distance, d = 600 km

So, xt = 600 (1)

On his return journey from City Q to CIty P, his average speed increases by 7 km/h, so it is (x + 7)km/h and his time is 15 minutes less than his first journey. 15 min = 15/60 h = 0.25 h, we have that his time for the journey is (t - 0.25) h. Since the distance covered is the same d = 600 km,

We have (x + 7)(t - 0.25) = 600  (2)

Expanding the brackets, we have

xt - 0.25x + 7t - 0.25(7) = 600

xt - 0.25x + 7t - 1.75 = 600

From (1) t = 600/x and xt = 600

Substituting these into the equation, we have

600 - 0.25x + 7(600/x) - 1.75 = 600

simplifying

-0.25x + 4200/x - 1.75 = 600 - 600

-0.25x + 4200/x - 1.75 = 0

multiplying through by x, we have

-0.25x² + 4200 - 1.75x = 0

dividing through by -0.25, we have

-0.25x²/-0.25 + 4200/-0.25 - 1.75x/-0.25 = 0

x² - 16800 + 7x = 0

re-arranging, we have

x² + 7x - 16800 = 0

ii. Solve the equation x² + 7x - 16 800 = 0, giving both your answers correct to  2 decimal places.

Using the quadratic formula, we solve x² + 7x - 16800 = 0 for x

So, [tex]x = \frac{-7 +/-\sqrt{7^{2} - 4 X 1 X -16800} }{2 X 1}\\x = \frac{-7 +/-\sqrt{49 + 67200} }{2} \\x = \frac{-7 +/-\sqrt{67249} }{2} \\x = \frac{-7 +/- 259.32}{2} \\x = \frac{-7 + 259.32}{2} or x = \frac{-7 - 259.32}{2} \\x = 252.32/2 or x= -266.32/2\\x = 126.16 km/hor x = -133.16 km/h[/tex]

So, x = 126.16 km/h or -133.16 km/h

iii. Find the time taken for the return journey

The time taken for the return journey is t' = t + 0.25. Now. t = 600/x

Since x cannot be negative, we use x = 126.16 km/h.

So, t = 600/x = 600/126.16 = 4.76 h

t' = t + 0.25

t' = 4.76 + 0.25

t' = 5.01 h

Answer:

carbondioxide + oxygen

Answer:

carbon dioxide + oxygen → water + sugar + sunlight

Step-by-step explanation:

hope i helped

Answer:

A

Step-by-step explanation:

Answer:243

Step-by-step explanation:

The measure of each marked angle is 60 degrees for the given figure, which are alternate exterior angles.

The angles are given as:

∠1 = 10x-20 and ∠2 = 7x+4

As we know that alternate exterior angles are described as the pair of angles formed on the outer side of the parallel lines and on opposite sides of the transversal when two parallel lines are crossed by a transversal.

By alternate exterior angles, it can be written as:

∠1 = ∠2

10x-20 = 7x+4

10x -7x = 4 + 20

3x = 24

x = 24/3

x = 3

From given angles:

80 - 20 = 60

56 + 4 = 60

Thus, the measure of each marked angle is 60 degrees.

Learn more about alternate exterior angles here:

https://brainly.com/question/23134598

#SPJ6

Answer:

$4,675

Step-by-step explanation:

The commission is 5.5% of $85,000.

5.5% * $85,000 =

= 0.055 * $85,000

= $4,675

Answer:

$4675

Step-by-step explanation:

85,000 x .055 = 4,675

Hope that helps!

Answer:

Step-by-step explanation:

a=1

b=-2

c=1.5

d=-20

Answer:

The expected number of markers that have the same color cap and marker is 3.

Step-by-step explanation:

Every marker has a [tex]\frac{1}{3}[/tex] chance to get the same color cap, because there are always 3 same caps, and 9 total caps. By linearity of expectation, the expected number of markers that have the same color cap and marker is equal to the sum of all marker's individual 'contribution' to the same color cap count. So the expected value is [tex]9 \cdot \frac{1}{3} = 3[/tex], precisely what we were after.

Answer:

3

Step-by-step explanation:

By running the following Python code, we can safely assume the answer to be 3:

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

import random

def cap_throw():

   cap_list = ['R', 'R', 'R', 'G', 'G', 'G', 'B', 'B', 'B']

   random_cap_list = cap_list[:]

   random.shuffle(random_cap_list)

   counter = 0

   for i in range(len((cap_list))):

       if cap_list[i] == random_cap_list[i]:

           counter += 1

   return counter

results_list = []

for i in range(10 ** 6):

   results_list.append(cap_throw())

print(sum(results_list) / len(results_list))

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

Which gave 2.998795.

Number 1 answer :

Cream cheese = 12    Sugar= 15    12 divided by 15 = 0.8

There are 0.8 ounces of cream cheese for every ounce of sugar.

Number 2 answer:

 Sugar= 15   Cream cheese = 12   15 divided by 12 = 1.25

There are 1.25 ounces of sugar for every ounce of cream cheese.

Answer:

3 : 4

18 : 24

I hope it helps

Answer:

The x-intercepts of the function are 0 and 6, which are a lower bound and an upper bound for the possible values of the width of the storage bin.

Step-by-step explanation:

Given

[tex]A(x) = x^2 - 6x[/tex]

Required

Which is true about the x intercept

To do this, we make A(x) = 0.

Substitute 0 for A(x) in [tex]A(x) = x^2 - 6x[/tex]

[tex]0 = x^2 - 6x[/tex]

Rewrite as:

[tex]x^2 - 6x=0[/tex]

Factorize:

[tex]x(x - 6)=0[/tex]

Split:

[tex]x = 0\ or\ x - 6 = 0[/tex]

[tex]x = 0\ or\ x = 6[/tex]

Option D is correct

Answer:

$36

Step-by-step explanation:

54/9=6

6*6=36

$36

Answer:

Answer is v=182

Step-by-step explanation:

v=volume of the glass

v/2+65=6v/7

Multiply by 14

7V+910=12V

910=5V

V=182

I hope it's helpful!

Answer:

Step-by-step explanation:

0.1322 ≅ 0.13

Answer:

0.13

Step-by-step explanation:

First we need to find the given place value, which is the hundreds place.

0.1322

Next, we look at the next number over, which is two.

0.1322

0-4 stays the same. 5-9 round up one. Doing so, we keep the number three the same.

0.1300

get rid of the extras.

(not a Bakogou reference)

0.13

~Hope this helps~

Answer:

for 12% it would be $3,000

And, for 6% it would be $2,000

Step-by-step explanation:

The computation of the amount invested at each rate is shown below:

Let us assume the amount invested at 12% be x

So, the $5,000 - x be invested at 6%

The total interest earned is $480

So the equation would be

0.12x + 0.06($5,000 - x)  = $480

0.12x + $300 - 0.06x = $480

0.06x = $80

x = $3,000

So for 12% it would be $3,000

And, for 6% it would be $2,000

Answer:

Variable Expression; Numeric Expression. A numeric expression consists of numbers and operations, but never include any variable. Some of the examples of numeric expressions are 10 + 5, 15 ÷ 2, etc. Variable Expression. A variable expression is an expression which contains variables along with numbers and operation to define an expression.

Step-by-step explanation:

Variable Expression; Numeric Expression.

An expression is a number, a variable, or a combination of numbers and variables and operation symbols.

Variable Expression; Numeric Expression. A numeric expression consists of numbers and operations, but never includes any variable. Some of the examples of numeric expressions are 10 + 5, 15 ÷ 2, etc. Variable Expression. A variable expression is an expression that contains variables along with numbers and operations to define an expression.

Learn more about Expressions:

https://brainly.com/question/1280754

#SPJ2

Answer:

m=2/5, y=3x7, (7,0), y=x-2, (0,-2)

Step-by-step explanation:

Answer:

B=1.75

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

hope it helps if not sorry <3

Answer:

49

Step-by-step explanation:

The computation of the total amount is shown below:

Let us assume the natasha be 4x

And, the krutika be 3x

Now as per the situation

4x = 3x + £7

x = £7

For natasha = 4(7) = 28

For krutika = 3(7) = 21

So, the total amount is

= 28 + 21

= 49

Answer:

The answer is D

Step-by-step explanation:

If you add them all, and divide them it wouldn’t get 14.5

Answer:

No, the mean should be higher.

Step-by-step explanation:

Have a good day :)

Answer:

k = [tex]\frac{y}{x}[/tex]

Step-by-step explanation:

y = kx

Divide by x on both sides to isolate k

k = [tex]\frac{y}{x}[/tex]