Answer:
a:c= 3/5 = 0.6
a:b:c= 3/4/5=0.15
Solve each equation and check your solution. Simplify fractions and write in the form a/b.
{NOTE: You don't have to do every single one of them, It'd help if you could atleast do 1 of these equations }
a. 3x - 6 = 4(2 - 3x) - 8x
⇛ 3x - 6 = 8 - 12x - 8x
⇛ 3x + 12x + 8x = 8 + 6
⇛ 23x = 14
⇛ x = 14/23
b. 1/2z + 6 = 3/2(z + 6)
⇛1/2z + 6 = 3/2z + 9
⇛ 1/2z - 3/2z = 9 - 6
⇛ -z = 3
⇛z = -3
c. 9 - 7w = 8w + 8
⇛ - 7w - 8w = 8 - 9
⇛ -15w = -1
⇛ w = 1/15
Solve the System of Equations
3x^2-5y^2= 22
2x^2+4y^2 = 22
Lets try one way to solve this system. First, we want to isolate one of the unkown, lets choose y, so we need to remove x from an equation. In order to remove x from an equation, thats what we are going to do :
Line 1:
(3x² - 5y²) * 2 = 22 * 2
6x² - 10y² = 44
We simply multiplied Line 1 by the number 2, this doesn't change anything on the nature of Line 1.
Line 2:
(2x² + 4y²)*3 = 22*3
6x² + 12y² = 66
We simply multiplied Line 2 by the number 3, this doesn't change anything on the nature of Line 2.
Solving your system of equations is exactly the same thing as solving this new system of equation :
6x² - 10y² = 44
6x² + 12y² = 66
It is exactly the same. But it is easier now, because we can remove x from the equation simply by subtracting line 2 from line 1 :
L1 - L2 :
(6x² - 10y²) - (6x² + 12y²) = 44 - 66
6x² - 10y² - 6x² - 12y² = - 22
- 22y² = - 22
y² = 1
y = + 1 or y = - 1
We know have the value of y, we just have to replace it in the equation to solve the entire system :)
3x² - 5y² = 22
since y² will always be equal to one, wether y = 1 or y = - 1, we can write :
3x² - 5 = 22
3x² = 22 + 5
3x² = 27
x² = 27/3
x² = 9
x = + 3 or x = - 3
So the solutions are the following couples in the form (x,y) :
S = { (3 ; 1) , (-3;1) , (3 ; - 1) , (-3 ; -1))
Good Luck
2.3/2.4 representing slope in proportional relationships
Answer:
Ok
Step-by-step explanation:
Ok
Louisa is 5 feet 4 inches tall.
How tall is she in inches?
Answer:
64 inches
Step-by-step explanation:
We need to convert feet to inches
5 ft = 5*12
= 60
5ft is 60 in
1 ft = 12 in
Add 60 in & 4 in
= 64 in
Hope this helps! Please rate it and press the heart button! Thanks!
Answer:
64
Step-by-step explanation:
12 inches= 1 foot
5 feet= 60 inches
60+4= 64 inches
convert into precent...
convert 0.(6) as a precent the parenthesis mean something
Answer:
60%
Step-by-step explanation:
0.(6) is just not proper mathematical format.
I will assume you meant 0.6.
Then the equivalent percentage would be 0.6(100%), or 60%
What is the perimeter of PQR? Show your work.
Answer:
They are similar triangles so the sides are equal
3y-2=y+4
2y=6
y=3
so we can insert y=3 to calculate the side length
3y-2=3*3-2=7=PR side
calculate the perimeter:
4+6+7=17ft
Step-by-step explanation:
Add the lengths.of all sides together
4+6+(3y-2)
= 4+6+3y-2
=8+3y ft
What is the solution to this equation?
Answer:
C
Step-by-step explanation:
324 = 4 [tex](3)^{2x}[/tex] ( divide both sides by 4 )
81 = [tex]3^{2x}[/tex] , that is
[tex]3^{4}[/tex] = [tex]3^{2x}[/tex]
Since bases on both sides are equal, both 3, then equate exponents
4 = 2x ( divide both sides by 2 )
2 = x → C
I don’t know what the answer Is
Answer:
Exact Form: x = 10/7
______
Decimal Form: x = 1.428571
Mixed Number Form: x = 1 3/7
Hope this helps, have a nice day/night! :D
If this helped please mark this as brainliest!
Answer:
In the picture
Step-by-step explanation:
Good luck!
I need help with this one question, please show work on paper or text, thank you
answer :243
this should be helpful
What value does the 4 represent in number 487.009
Answer:
400
cause 4 is in the hundreds column
onique bought 2 hot dogs and 1 large soda. She spent $7. Scott
bought 4 hot dogs and 1 large soda. He spent a total of $12.
What is the cost of one hot dog and one large soda?
Alguien puede ayudarme porfavor es para hoy ...Se los agradeceria mucho
Answer:
english?
Step-by-step explanation:
All changes avec
7. The price of a plane ticket varies Inversely with the amount of tickets purchased at one time. If 2 plane tickets costs $350 each, how much will a ticket cost when purchasing 7 plane tickets?
O $25
O $100
O $1225
O $220
Answer:
1225
350/2=175
175 x 7 = 1225
Write in index form
5 x 5 x 5
angel 1 and angel 2 form a right angle. Writ a conjecture about each value or geometric relationship
Answer:
it's angle not angel.
Step-by-step explanation:
if you add -10 to 4 times the mystery number you get 0 what is the mystery number?
Answer:
2.5
Step-by-step explanation:
2.5x4=10
10-10=0
BRAINLIEST
Please help me do these
Answer:
1.
a. YU, ZV, WS
b. VU, WX, ST
c. ZW
d. WXY
e. TSW
f. VU, TU, ZY, XY
g. VS, WS, ZV, XW, YZ, ZW
2.
a. intersecting
b. parallel
c. skew
d. intersecting
e. parallel
Answer:
Step-by-step explanation:
What are the coordinates of the vertex for the function shown below ?
Answer:
Step-by-step explanation:
We can answer this in two ways: Differentiation and Graphing.
Differentitate:
The first derivative of a function yields a function that provides the slope for any point on the line of the original function. The slope of a vertex is zero, so we can set the first derivative to 0 and solve for x.
f(x) = 3(x-1)^2 + 4
f(x) = 3(x-1)(x-1) + 4
f(x) = 3(x^2 - 2x + 1) + 4
f(x) = 3x^2 - 6x + 7
f'(x) = 6x -6
Set this = 0 and find x:
0 = 6x -6
x = 1
The value of y when x=1 in the original equation is:
f(1) = 3(1-1)^2 + 4
y = 4
The vertex is (1,4)
Graph:
You can use DESMOS to plot the function. The result is attached. Look for the vertex and read the coordinates. (1,4) seems to work.
Consider the equation:
X^2=6x+1
1) Rewrite the equation by completing the square.
Your equation should look like (2 - 0) = bor (2-c)? = d
2) What are the solutions to the equation?
Choose 1 answer
Answer:
(2-c)=d
Step-by-step explanation:
completing the square
hope it can help you lovelots
Ricky Bobby was designing everything in the garden. He wanted the longest side to be 3 feet less than four times the shorter side. He used 50 feet of board to make the garden.
What are the dimensions of the garden that Ricky Bobby made?
How much area was there inside the garden?
If pumpkin plants need 5 ft.² of space to drive how many pumpkin plants can Ricky Bobby plant?
Helpp I don’t get this
Answer:
5.6 by 19.4
108.64 ft²
21 pumpkins
Step-by-step explanation:
Set length of shorter side as x. Then, the longer side is 4x - 3
He used 50 feet of board, which means, using the formula for perimeter:
x + 4x - 3 + x + 4x - 3 = 50
Simplify and solve.
10x - 6 = 50
10x = 56
x = 5.6
Plugging this back into our first two equations, we find that shorter side = 5.6 and longer side = 19.4
This means the dimensions of the garden are: 5.6 by 19.4
Area = length times width, so the area is 108.64 ft²
The plants need 5ft², so he can fix a maximum of 108.64 ÷ 5 = 21.728
Because you cannot have 0.728 pumpkins, he can only fit 21 pumpkin plants.
31X +3-65X -33-75-10 X
Answer:
-44x - 105
Step-by-step explanation:
1) Add the numbers
3 1 − 1 0 5 − 6 5 − 1 0
2) Combine like terms
-44x - 105
Explain relative dating and its relationship to the Law of Superposition
Answer:
its b i took the test
Step-by-step explanation:
its b
The volume of this rectangular prism is 80 cm (small number 3) Use the volume formula to determine the height of this prism.
Answer:
Finding the volume of a rectangular prism is a straightforward task - all you need to do is to multiply the length, width, and height together: Rectangular prism volume = length * width * height. Where can you use this formula in real life? Let's imagine three possible scenarios: You bought a fish tank for your golden fish . It's in a regular box shape, nothing fancy, like a corner bow-front aquarium. If …
Step-by-step explanation:
Sofi stores water for her turtle tank in a container with a maximum
capacity of 64 ounces. The container is filled with 4 8 ounces less than
its maximum capacity
PART A
PARTE
Sofi accidentally spills 5% of the container's Sofi needs to add 16 ounces of water to
maximum capacity on the counter. To what her turtle tank. What percentage of the
percent of its capacity is the container
remaining water in the container does she
now filled?
need to use? Explain.
67.5%
12.5%
87 99
95%
A) If Sofi accidentally spills 5% of the container's maximum capacity on the counter, the container is now filled to 87.5% of its capacity.
B) If Sofi needs to add 16 ounces of water to her turtle tank, she needs to use 28.57% of the remaining water in the container.
Given that Sofi stores water for her turtle tank in a container with a maximum capacity of 64 ounces and the container is filled with 4.8 ounces less than its maximum capacity, to determine A) if Sofi accidentally spills 5% of the container's maximum capacity on the counter, to what percent of its capacity is the container now filled, and B) if Sofi needs to add 16 ounces of water to her turtle tank, what percentage of the remaining water in the container does she need to use, the following calculations must be made:
A)
64 = 100 (64 - 4.8) - (64 x 0.05) = X 64 = 100 56 = X 56 x 100/64 = X 87.5 = XTherefore, if Sofi accidentally spills 5% of the container's maximum capacity on the counter, the container is now filled to 87.5% of its capacity.
B)
56 = 100 16 = X 16 x 100/56 = X 28.57 = XTherefore, if Sofi needs to add 16 ounces of water to her turtle tank, she needs to use 28.57% of the remaining water in the container.
Learn more in https://brainly.com/question/17592236
Answer:
A=87.5% b=28.57
Step-by-step explanation:
ADVICE PLEASE LOOK AT THIS VERY HELPFUL
PART percent
--------- over = ----------------- over Cross multiply and then divide by 100
WHOLE 100%
In order to conduct an experiment, 4 subjects are randomly selected from a group of 41 students. The number of possible different groups is ______________________.
Answer:
10.25
Step-by-step explanation:
You'd need get Forty one divided by 4 and your answer should be 10.25 , 41 ÷ 4 = 10.25
consider the equation
Answer: 6
Step-by-step explanation:
1. 2(4 + px) = 12x (write it down)
2. 8 + 2px = 12x (distributive property)
3. 8/2 + 2px/2 = 12x/2 (divide all by 2
4. 4 + px = 6x
5. 4 = 6x - px
Plug all in:
4 = 6x - 2x (possinle)
4 = 6x - 6x (not possible)
4 = 6x - 12x (possible)
4 = 6x - 24x (possible)
Answer: 6
because:
4 = 6x - 6x
4 = 0
A rectangle has the area of 60in2 . What can be its dimensions? Copy and fill in the chart.
Answer:
The dimensions can be 6 inches by 10 inches
find the slope and write the equation of the line that passes through the given points (5,6) and (3, 4)
Answer:
y=X +1
……. M=1
Solve for the variable in the following proportion.
1/4 is to 1 1/4 as 2 is to b
B =
Can someone give an explanation?
Answer: b = 10
Step-by-step explanation:
We want a ratio of b/2 that is equal to the ratio of 1/4 to 1 1/4 (or 5/4).
Ratio of (1/4)/(5/4):
(1/4)/(5/4) = (1/4)*(4/5) = 4/20 = 1/5 or 0.2
We want 2/b = 1/5 or 0.20
2/b = 0.20
b = 2/0.20
b = 10
--
Check: Does 10/2 = (1/4)/(5/4)?
Yes
b is 10
how do i find the x and y intercepts of y=2x^2+x-3