Answer:
Part 1: [ -4 = -8 ]
Part 2: Inconsistent
Step-by-step explanation:
Part 1
1. Move all terms that don't contain x to the right side:
3x - 6y+6y = -12+6y
= 3x = -12 + 6y
2. Isolate x:
[tex]\frac{3x}{3} = \frac{-12+6y}{3}[/tex]
x = -4 + 2y
3. Substitute the new expression into the original:
-4 + 2y - 2y = -8
4. Simplify:
-4 + 0 = -8
[ -4 = -8 ]
Part 2
The two solutions are not equal in value, so, we can conclude that the system of equations has no solution, or is inconsistent.
hope this helps!
Patty tosses the coin and rolls the number cube 60 times. Predict how many times the coin will land on heads and the cube will land on an even number
Half of the time, the coin will land on heads and the cube will land on an even number when Patty tosses the coin and rolls the number cube 60 times.
What is binomial probabilities?The binomial probabilities is the experimental probability in which the total number of output values is 2, therefore it is known as binomial probabilities.
The number of independence variable in case of binomial experiments is fixed. Both the two output has the 1/2 chances to occur.
Patty tosses the coin and rolls the number cube 60 times.
For the coin, there are total 120 outcomes for 60 tosses, in which 60 favorable outcomes to land on heads. Thus, the probability the coin will land on heads is,
[tex]P=\dfrac{60}{120}\\P=\dfrac{1}{2}[/tex]
For the number cube, there are total 360 outcomes (6×60) for 60 rolls, in which 180 favorable outcomes (3×60) to land on even number. Thus, the probability the number cube will land on even number is,
[tex]P=\dfrac{180}{360}\\P=\dfrac{1}{2}[/tex]
Hence, half of the time, the coin will land on heads and the cube will land on an even number when Patty tosses the coin and rolls the number cube 60 times.
Learn more about the binomial probability here;
https://brainly.com/question/24756209
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Janet was given $500 by her grandmother to spend on invitations for her wedding. Three invitations cost $10 to print.Which equation can be used to represent y, the amount of money Janet has left after purchasing x wedding invitations?
Answer: y = - 3 [tex]\frac{1}{3}[/tex]x + 500
Step-by-step explanation:
First, we will start off with y = since y is the amount of money left to spend.
Next, we see that three invitations cost $10. $10 / 3 = 3 [tex]\frac{1}{3}[/tex]. One invitation will cost $3 [tex]\frac{1}{3}[/tex]
Lastly, we will create our final equation in slope-intercept form:
y = - 3 [tex]\frac{1}{3}[/tex]x + 500
Side Note: We also could write something like y = -10([tex]\frac{x}{3}[/tex]) + 500 if we did not want to change the cost.
WILL MARK BRAINLIEST IF RIGHT
EXTRA POINTS!!! HELP
Answer:
Step-by-step explanation:
For interiors, you can choose <3 and <6
<2 and <7 will go together.
<1 and <5 for corresponding
help me pleaseeeeeeeeee
Answer:
82.799...°
Step-by-step explanation:
First, we have to identify how many votes equals 1°
Therfore we divide 4700 by 360° because there are a total of 4700 votes and there are 360° in a circle.
(4700/360) = 13.055...
1° = approximately 13 votes
Secondly, let's look at how many votes Watkins received.
1081 votes
Lastly, since 1° equals 13.055... votes,
then if we divide the number of total votes Watkins got by 13.055 we will find the value of the central angle for the Watkins slice.
1081 ÷ 13.055... = 82.7999..
Select all the rectangles that have an area of 15/24 square inches.
Answer:
BDStep-by-step explanation:
Area of a rectangle
Base x HeightRectangle B
3/8 x 5/3 = 15/24 square inchesRectangle D
5/4 x 3/6 = 15/24 square inchesAnswer:
Options B and D
Step-by-step explanation:
Step 1: Determine the area of Option A
[tex]A = l * w[/tex]
[tex]A = (5/8\ in) * (10/3\ in)[/tex]
[tex]A = 50/24\ in^2[/tex]
[tex]A = 25/12\ in^2[/tex]
Step 2: Determine the area of Option B
[tex]A = l * w[/tex]
[tex]A = (5/3\ in) * (3/8\ in)[/tex]
[tex]A = 15/24\ in^2[/tex]
Step 3: Determine the area of Option C
[tex]A = l * w[/tex]
[tex]A = (8/6\ in) * (7/4\ in)[/tex]
[tex]A = 56/24\ in^2[/tex]
[tex]A = 7/3\ in^2[/tex]
Step 4: Determine the are of Option D
[tex]A = l * w[/tex]
[tex]A = (3/6\ in) * (5/4\ in)[/tex]
[tex]A = 15/24\ in^2[/tex]
Step 5: Determine the area of Option E
[tex]A = l * w[/tex]
[tex]A = (5/15\ in) * (3/9\ in)[/tex]
[tex]A = 15/135\ in^2[/tex]
[tex]A = 1/9\ in^2[/tex]
Answer: Options B and D
Find the area of the rhombus?
Answer: 84.5cm^2
Step-by-step explanation:
to find the area you need to use d1d2/2. So you plug in the numbers and get 13*13\2 and get 84.5
A triangle has sides of 70,30, and 50. What is the distance around the triangle?
a. 300
b. 150
c. 90
d. 190
Answer:
150
Step-by-step explanation:
You would add up all of the sides and that would be your distance.
Hope this helps!
When graphing the equation y=-3x+2, a student plotted the y-intercept at 2, then moved down three units and to the left 2 units because the slope is negative, so both rise and run are negative. Find this error and correct it.
Answer:
The error is founded in the slope, specifically in the run.
When seen a negative slope, that only applies to the rise but not the run.
Instead, the student should run 1(not 2) units to the right.
The slope had not mentioned any 2 in the run.
So it would sound like down 3, over 1, starting from 2.
The y intercept at 2 is correct. This is the location (0,2)
The slope is -3 or -3/1, meaning that we move down 3 and to the right 1 unit. Doing so has us go from (0,2) to (1,-1). Plot these two points together on the same xy grid and draw a straight line through the two points.
See below.
please hurry yyyyyyyyyyyyyyyyyy!!!!!!!!!!!!!!
Answer:
the answer is c
Step-by-step explanation:
5. Three lines are drawn so that they all intersect at a common point. In the figure below, m41
=
x°, mL2 = 2x°, and m43 = 75°.
Which equations can be used to determine the value of x?
Select all that apply.
A. 3x° = 75°
B. 3x° =
105°
C. 3x° = 255°
D. 3x° + 75° = 180°
E. x° + 2x° + 75° =
180°
F. x° + 2x° + 3x° = 360°
Answer: BDE
Step-by-step explanation:
Because angles 1, 2, and 3 form a straight angle, x+2x+75=180 -> E
Simplifying, we get that 3x+75=180 -> D
Subracing 75 from both sides, we get 3x = 105 -> B
The graphs below have the same shape. Complete the equation of the red
graph. Enter exponents using the caret (^); for example, enter x as x^2. Do
not include "Fx) =" in your answer.
Answer: translation up by 5 units f(x)= x^2 +5
Step-by-step explanation:
whats is the answer too the equation 90000x604982?
HELPPP WHATS THE AREA
Answer:
i thin 30
Step-by-step explanation:
its 30 i think because AC is 6 and DB is 5 so 6x5=30
A 19th-century explorer crossing a desert has run out of water. He has the best chance of surviving if he can find Choose one: A. an oasis. B. a rain shadow. C. a playa. D. an ephemeral stream.
The 19th-century explorer crossing a desert has the best chance of survival if he crossses an oasis.
What is an oasis?An oasis is a patch of fertile land found in a desert. In an oasis, water is usually found there. Also, in an oasis, plants and animals are also found there.
Example of oases are:
Siwa Oasis, EgyptCrescent Moon Lake, Dunhuang, ChinaChebika Oasis, TunisiaHavasu Falls, Grand Canyon, USATo learn more about an oasis, please check: https://brainly.com/question/4068816
If f(x)=x-2, what is f¹(x)?
Evaluate: -216 + (-6)
Answer:
-222
Step-by-step explanation:
Answer:
-222 cause a negative plus another negative gets you a positive
Step-by-step explanation:
which of the following are possible sode lengths for a triangle? A. 5, 18, 14 B. 9, 15, 4 C. 18, 12, 6
answer: 5, 18, 14.
explanation: i just did it on acellus.
Tell whether the angles are adjacent or vertical. Then find the value of x.
Answer:
Adjacent; x = 15
Step-by-step explanation:
90° is the total for this shape.
4x + 2x = 90
6x = 90
x = 90/6
x = 15
Please help me on this question 20 points
Answer:
[tex]\left[\begin{array}{cc}10\\24\end{array}\right][/tex]
Step-by-step explanation:
Trial and error lol
Which statement is true about angles 1 and 2?
Angles 1 and 2 are complementary.
Angles 1 and 2 are vertical.
Angles 1 and 2 are supplementary.
Angles 1 and 2 are adjacent.
Answer:
they are complementary
Step-by-step explanation:
complementary means adding up to 90° and it's true Abt the two angles
PLEASE HELP!! 40 POINTS!!
PLEASE ANSWER - BRAINLIEST IF 2 ANSWERS - 5 STAR RATING - THANKS (PROFILE TOO)
The ratio of the width to the height of a
television screen is 16:9.
If the height of the screen is 52 cm, which is
closest to the width?
a 92 cm
b 87 cm
c 59 cm
d 29 cm
----------------
Answer:
1-D
2.D
Step-by-step explanation:
Answer:
d. 256
d. 29 cm
Step-by-step explanation:
[tex]1) \: \: 25 - \sqrt{x} = 9 \\ \\ 25 - 9 = \sqrt{x} \\ \\ 16 = \sqrt{x} \\ \\ {(16)}^{2} = {( \sqrt{x} )}^{2} \\ \\ 256 = x \\ \\ x = 256 \\ \\ 2) \: \: 16x = 52 \\ \\ x = \frac{52}{16} \\ \\ x = 3.25 \\ \\ width = 3.25 \times 9 = 29.25 = 29[/tex]
What percentage of your gross earnings is taken by your employer for FICA?
7.9%
5.8%
6.2%
3.2%
Answer:
well non of the answer choices are exact but i would say a/the first one. im not sure but they should add up to about 7.65%.
Step-by-step explanation:
Answer:
So each party – employee and employer – pays 7.65% of their income, for a total FICA contribution of 15.3%. To calculate your FICA tax burden, you can multiply your gross pay by 7.65%:
BUT EACH FICA TAX IS 6.2% Social security and 1.45% respectively
The reason it says 7.65 because it also depends on where you live, but it should be around the 7.65 to 7.9 mark
create a line plot for the given
ages.
43, 40, 46, 40, 48, 50, 44, 44,
42, 41, 45, 42, 46, 44, 40
Answer:
here you go
Step-by-step explanation:
40, 40, 40, 41, 42, 42, 43, 44, 44, 44, 45, 46, 46, 48, 50
***"
Factor. 8lb+ 27c - 150
-
+
-
A. 9(73b + 18c-6d)
B. 3(27b + 9c - 5d)
C. 9(96 + 3c - 150)
D. 6(246 + 4c - 3d)
Answer:
Option B: 3(27b + 9c - 5d)
Step-by-step explanation:
The equation is actually 8lb+ 27c - 15d
A common factor is 3:
3(27b + 9c -5d)
Option B: 3(27b + 9c - 5d)
A speaker is in the shape of a cube with an edge length of 3. 5 inches. The speaker is sold in a package in the shape of a square prism with a base area of 16 square inches and a height of 4. 25 inches.
What is the surface area of the package, in square inches? (number ONLY in the answer, DO NOT ROUND)
Answer: 100 inches
Step-by-step explanation: To solve this you have to know the surface area formula for a square prism which is 2a^2+4ah where a is an edge of the base and h is the height. Since 4.25 is the height, we just have to find a base edge. Since the base has an area of 16 inches and it is a square that has all equal sides, we know the base edge is 4 (4 times 4 =16). Now if you plug 4 in for a and 4.25 in for h, you get 100.
If a = 90÷6, a=?. 90÷6=
A=3
B=10
C=19
D=None of the above.
Answer:
D, none of the above
Step-by-step explanation:
90/6=15, and 15 is not an answer choice
Answer: D
Step-by-step explanation: None of the above. Answer is 15
A TV has a listed price of 515.95 before tax. If the sales tax rate is 9.75%, find the total cost of the TV with sales tax included.
Answer:
566.25
Step-by-step explanation:
515.95×9.75%=50.30
515.95+50.30=566.25
4 friends evenly divided up an n-slice pizza. One of the friends, Harris, ate 1 fewer slice than he received.
How many slices of pizza did Harris eat?
Answer:
4 friends evenly divided up a n -slice pizza.
So, the number of slices each friend received = n/4
Now, Harrison ate 1 fewer slice than he received. As he received n/4 slices, so 1 fewer than n/4 means......
Harrison ate n/4-1 slices of pizza.
Step-by-step explanation:
The perimeter of a rectangular parking lot is 368 m.
If the width of the parking lot is 86 m, what is its length?
Answer:
98
Step-by-step explanation:86+86=172
368-172=196
196/2=98