Answer:
40,60,80
Step-by-step explanation:
let 2x 3x and 4x
9x=180
x=20
2x=40
3x=60
4x= 80
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Please help!! Ignore the X on A!
Answer:
AC= 3.2
Step-by-step explanation:
two trianglesare similar
so AC : BC = DF : EF
AC : 4 = 3:2.4
4×3.2 = AC×4
12.8=4×AC >>>> (÷4) both sides
3.2= AC
Model car is a 1/40 scale model expressed as a ratio
Answer:1:40
Step-by-step explanation:
the answer should be 1:40
Look at photo down below for question
The coordinates of the rotated triangle will be (2, - 2) , (3, -8) , (7, 0)
What is translation of graph?Function translation takes a function (and its graph) and, by adding and subtraction, moves the graph around the plane without changing its shape.
Given is a triangle coordinate on x - y plane.
The rule (x, y) → (- x, - y) represents the rotation of a figure by 180 °.
Now, initially the coordinates of the triangle are -
(-2, 2) , (-3, 8) , (-7, 0)
After transforming the graph by the rotation of 180°, the new coordinates will be -
(2, - 2) , (3, -8) , (7, 0)
Plot the coordinates on the graph and you will get the rotated image.
Therefore, the coordinates of the rotated triangle will be (2, - 2) , (3, -8) , (7, 0).
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which classification describes the following system of equations x=5 y=6 -x-y+z=0
?
A. inconsistent and dependent
B. consistent and dependent
C. consistent and independent
D. inconsistent and independent
The system of equations has one solution, so it is consistent and independent, the correct option is C.
What is the classification of the system of equations?
Here we have the system of equations:
x = 5
y = 6
-x - y + z = 0
By replacing the first and second equations into the third one, we get:
-5 - 6 + z = 0
-11 + z = 0
z = 11
So the solution is (5, 6, 11)
So it is consistent, and it is independent as clearly, the equations are linearly independent (system of 3 equations with 3 variables having only one solution).
Then the correct option is C.
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Determine whether the given value is from a discrete or continuous data set.When a car is randomly selected, it is found to have a gas tank that can hold 19.9 gal.
Explanation
We are asked to determine if the question is a continuous or discrete data set
The discrete data set is a data set that can be counted
Continuous data set are data that can be measured
For the given question, the answer will be option A
a weighted die has probability 0.102 of landing on a 6. if you roll the die until you get a 6 for the first time, what is the expected number of rolls it will take?
This is an example of a geometric distribution with success probability p=0.102
The expected number of rolls is 10.
What is a geometric distribution?A discrete probability distribution of a random variable "x" that meets some requirements is referred to as a geometric distribution. The conditions for the geometric distribution are. a phenomenon that has undergone a number of tests. There are only two outcomes that can occur in a trial: success or failure.Geometric distribution: If a discrete random variable X has a probability density function (p.d.f.) of the form P(X = x) = q(x-1)p, where q = 1 - p, it is said to have a geometric distribution.Given a finite number of trials, the geometric distribution can be used to estimate the likelihood of success. This is extremely useful in the real world, where it is uncommon to conduct unlimited (and unrestricted) trials.This is an example of a geometric distribution with success probability p=0.102 The expected value of the random variable of a geometric distribution is 1/p=1/0.102=9.80
Therefore, the expected number of rolls is 10.
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Gwen says that the sum of -1 3/4 and 2 1/2 is the same as the difference between 2 1/2 and 1 3/4 is Gwen correct explain why or why not
The sum of -1 and 3/4 and 2 and 1/2 is the same as the difference between 2 and 1/2 and 1 and 3/4.
First we will convert the mixed fractions into improper fractions.
-1 and 3/4 = -7/4
2 and 1/2 = 5/2
Sum of -1 and 3/4 and 2 and 1/2 = -7/4 + 5/2 = -7/4 + 10/4 = 3/4
Difference between 2 and 1/2 and 1 and 3/4 = 5/2 - 7/4 = 10/4 - 7/4 = 3/4
As both the values equal to 3/4 , we can say that the sum of -1 and 3/4 and 2 and 1/2 is the same as the difference between 2 and 1/2 and 1 and 3/4.
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a train increased its prices from £663 to £895.05 how much has this increased in a percentage
Answer:
The price has increased 35%
Step-by-step explanation:
GivenInitial price = £663,New price = £895.05.Find the percent increaseFind the amount of increase:
£895.05 - £663 = £232.05Find the percent value of the increase over the initial price:
232.05/663 × 100% = 35%i need help on 8 I will provide I bigger picture
Explanation
Step 1
the sum of the internal angles in a triangle equals 180, then
for triangle CDE
[tex]\begin{gathered} rigth\text{ angle+blue angle+yellow angle=180} \\ \text{replace } \\ 90+10+\measuredangle\text{EDC}=180 \\ 100+\measuredangle\text{EDC}=180 \\ \text{subtract 100 }in\text{ both sides} \\ 100+\measuredangle\text{EDC-100}=180-100 \\ \measuredangle\text{EDC}=80 \end{gathered}[/tex]Step 2
as we can see, in poitn c, we have a 180 degrees angle(ACD)
so
[tex]\begin{gathered} \text{red angle+gre}enangle+yellow\text{ angle}=180 \\ \text{replace} \\ 70+\measuredangle BCE+\measuredangle EDC=180 \\ 70+\measuredangle BCE+80=180 \\ 150+\measuredangle BCE=180 \\ \text{subtract 150 in both sides} \\ 150+\measuredangle BCE-150=180-150 \\ \measuredangle BCE=30 \end{gathered}[/tex]I hope this helps you
When you open credit cards at a bank, you initiate a hard inquiry once you apply for credit. If you are approved for a credit card, this counts as a new account. Having too many hard inquiries and new accounts on your credit report lowers your credit score, so you’ll want to be judicious when you apply for additional lines of credit. Let’s say you’re interested in the following credit cards: •Chase Sapphire Reserve•Wells Fargo Propel Card•American Express Blue Cash Everyday •Citi Double Cash Card•Chase Freedom•Chase Amazon Prime Rewards Card•Bank of America Cash Rewards Visa•American Express Platinum Answer the following questions below (show work as applicable, using factorial notation if necessary):Scenario 2: Imagine you would like to apply for three of these credit cards. How many different ways could you apply for three credit cards out of this group, without taking order into account? _____________
Given the credit card options:
• Chase Sapphire Reserve
• Wells Fargo Propel Card
• American Express Blue Cash Everyday
• Citi Double Cash Card
• Chase Freedom
• Chase Amazon Prime Rewards Card
• Bank of America Cash Rewards Visa
• American Express Platinum
Then, there are 8 options.
If you want to apply for 3 credit cards and the order does not matter, you can use combination to see how many options you have.
The formula for combination of r elements out n elements is:
[tex]C(n,r)=\frac{n!}{(n-r)!*r!}[/tex]In this question:
n = 8
r = 3
[tex]\begin{gathered} C(n,r)=\frac{8!}{(8-3)!*3!} \\ C(n,r)=\frac{8!}{5!*3!} \\ C(n,r)=\frac{8*7*6*5!}{5!*3*2} \\ C(n,r)=\frac{8*7*6}{3*2} \\ C(n,r)=56 \end{gathered}[/tex]Answer: 56 ways.
PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!
What is the standard form of the equation of a quadratic function with roots of 2 and −5 that passes through (1, −3)?
y = −0.5x2 + 1.5x − 5
y = −0.5x2 + 1.5x + 5
y = 0.5x2 + 1.5x − 5
y = 0.5x2 + 1.5x + 5
Answer:
y = 0.5x^2 + 1.5x − 5
Step-by-step explanation:
See attached graph
Solve the inequality for x. Show each step of the solution.
12(x+3)>4x-8
Answer:
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
12x+36>4x−8
Step 2: Subtract 4x from both sides.
12x+36−4x>4x−8−4x
8x+36>−8
Step 3: Subtract 36 from both sides.
8x+36−36>−8−36
8x>−44
Step 4: Divide both sides by 8.
8x/8 > -44/8
Therefore your answer will now equal [tex]x > \frac{-11}{2}[/tex]
[tex]{ \boxed{ \pink{ \sf{x > - \frac{11}{2}}}}}[/tex]
Step-by-step explanation:
The given inequality is, [tex]{ \green{ \sf{12(x + 3) > 4x - 8}}}[/tex]
[tex]{ \star}[/tex]Step 1: Simplify both the sides of inequality.
[tex]{ \green{ \sf{12x + 36 > 4x - 8}}}[/tex]
[tex]{ \star}[/tex]Step 2: Now Subtract 4x from both sides.
[tex]{ \purple{ \sf{12x+36−4x> { \cancel{4x}−8{ \cancel{−4x}}}}}}[/tex]
[tex]{ \purple{ \sf{8x+36>−8}}}[/tex]
[tex]{ \star}[/tex]Step 3: Subtract 36 from both sides.
[tex]{ \blue{ \sf{8x+{ \cancel{36}{ \cancel{−36}}}>−8−36}}}[/tex]
[tex]{ \blue{ \sf{8x>−44}}}[/tex]
[tex]{ \star}[/tex]Step 4: Divide both sides by 8.
[tex]{ \orange{ \sf{ \frac{ \cancel8}{ \cancel8} x > - \frac{ \cancel{44^{ \blue{ \tt{11}}}} }{ \cancel8_{ \blue{ \tt{2}}} }}}} [/tex]
[tex]{ \boxed{ \red{ \sf{x > - \frac{11}{2}}}}} [/tex]
Use your number sense to find the values for x and y that satisfy the equations.-6x = -30
x = 5
Explanations:Given the equation shown:
[tex]-6x=-30[/tex]To get the value of "x", we will divide both sides by -6 to have:
[tex]\begin{gathered} \frac{\cancel{-6}x}{\cancel{-6}}=\frac{\cancel{-30}^5}{\cancel{-6}} \\ x=5 \end{gathered}[/tex]Hence the value of x that satisfies the equation is 5
BRO PLS HELP, I HAVE LIKE 20 MISSING ASSIGNMENTS
It should be easy lol
Answer:
B C and D
Step-by-step explanation:
Answer:
2π=6.2831853071795864769252867
helppp !!!!!
given a circle with a diameter of eight what is the circumference?
Answer:
D
Step-by-step explanation:
the circumference (C) of a circle is calculated as
C = πd ( d is the diameter ) , then
C = π × 8 = 8π
Answer: C=2pir or diameter(pi)
Step-by-step explanation:
The diameter of a circle stretches from one side to the other, the Radius (r) goes from the center to the side meaning it is twice the diameter.
To solve this just half the diameter and insert it into the first equation or just plug it in for diameter.
The answer is
D. 8pi
In the expression 29 divided by 9 x 3 - 4 x 2 which operation would you complete first? Why?
Answer:
You would do 9 x 3 first.
Step-by-step explanation:
PEMDAS. There is subtraction and multiplication, and multiplication is before subtraction.
P- Parenthesis
E- Exponent
M- Multiplication
D- Division
A- Addition
S- Subtraction
Hope this helps!!! 〜(￣▽￣〜)
Where do I put the dots at
(1,-3),y=-4x-1 in slope intercept form
A bag contains 3 red, 4blue, 4 yellow, and 5 green marbles only yellow marbles will be added tp the bag. how many yellow marbles should be added to the bag to make the probability of choosing yellow marble 1/3?
Two yellow marbles are added to the bag to make the probability of choosing a yellow marble 1/3 .
There is a bag containing five green marbles, three red marbles, and four blue marbles and four yellow marbles.
The probability that a given event will happen is expressed as a number between 0 and 1 where 0 means there is no chance of the event occurring and 1 means that the outcome is certain.
There are a total of 16 marbles in the bag (5 + 3+ 4+4 = 16). This means that the probability of drawing a marble of a particular color is the number of marbles of that color divided by the total number of marbles in the bag.
Let ‘x’ number of additional yellow marbles be added to the bag.
Then, the required probability will be
(4 + x )/ (16+x ) = 1/3
=> 3(4+x) =16 +x
=> 12+3x = 16+x
=> 2x =4
=> x= 2
Hence, the required number of marbles is 2.
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Find the values of Y and X
solve for y, 3x−5y = 6
Answer:
y = [tex]\frac{3x -6}{5}[/tex]
Step-by-step explanation:
3x - 5y = 6 ( subtract 3x from both sides )
- 5y = - 3x + 6 ( multiply through by - 1 )
5y = 3x - 6 ( divide both sides by 5 )
y = [tex]\frac{3x-6}{5}[/tex]
Find the surface area of the rectangular
prism.
Answer:
2 in
4 in
2
2 in
in ²
Answer:
l = 2 in
h = 4 in
w = 2 in
Surface Area = 40
Step-by-step explanation:
If “l” is the length, and “h” is the height and “w” is the width of the rectangular prism, the surface area is given by the formula,
The surface area of a rectangular prism = 2 (lw+lh+hw) square units.
9TH GRADE MATH HELPPPP
Answer:
The equation in slope-intercept form is:
[tex]y=\frac{1}{3}x+3[/tex]
So the second option is the correct one.
Step-by-step explanation:
Step 1: Identify the gradient
The perpendicular line's equation is given as:
[tex]y=-3x+4[/tex]
This equation is in the form of:
[tex]y=mx+b[/tex]
Upon comparing the [tex]x[/tex] components of both equations, we get[tex]-3x=mx\\\text{Remove the}~ x~ \text{from both sides:}\\-3=m\\m=-3[/tex]
So, the gradient of this 'reference' equation is -3.
The equation we need to find is perpendicular to this 'reference' equation.
So, its gradient should be the negative reciprocal of the gradient of the 'reference' equation.
The negative reciprocal of -3 is:
[tex]-\frac{1}{(-3)}\\=\frac{1}{3}[/tex]
So, the gradient of our equation is [tex]\frac{1}{3}[/tex].
Step 2: Create the equation:
The equation crosses the x-axis at -9, which means its y-coordinate is 0 (at x-axis, y=0) ,so its coordinate is [tex](-9,0)[/tex].
The formula for an equation is:
[tex]y-y_{1}=m(x-x_{1})[/tex]
The coordinate [tex](x_{1},y_{1})[/tex] is [tex](-9,0)[/tex], and the gradient ([tex]m[/tex]) is [tex]\frac{1}{3}[/tex].
Substitute the values into the equation:
[tex]y-y_{1}=m(x-x_{1})\\y-0=\frac{1}{3}(x-(-9))\\\\\text{Simplify}\\y=\frac{1}{3}(x+9)[/tex]
[tex]\text{Simplify further}\\y=\frac{1}{3}x+3[/tex]
Since, the slope-intercept form is:
[tex]y=mx+b[/tex]
We already have our equation in the slope-intercept form.
A company makes concrete bricks shaped like rectangular prisms. Each brick is 11 inches long, 8 inches wide, and 5 inches tall. If they used 11,000in3 of concrete, how many bricks did they make?
Answer:
25 bricks
Step-by-step explanation:
Calculate the volume of one brick:
Volume = (11')(8")(5") = 440 in^3
Divide the volume of a one brick into the volume of concrete that will be used:
(11000 in^3 concrete)/(440 in^3 concrete/brick) = 25 bricks
-6 = -2/5y solve for y and simplify your answer as much as possible
Answer: y = 15
Step-by-step explanation:
Combine multiplied terms into a single fraction
-6 = -2y/5
Then, multiply both sides by 5 to get:
-30 = -2y
Last, you divide both sides by -2 to get:
15 = y or y = 15
Hope this helps!
Draw of a modelled object
19. What is the mode of the following numbers?
12, 11, 14, 10, 8, 13, 11, 9
a. 11
b. 10
C. 14
d. 8
Answer:
a. 11
Step-by-step explanation:
What is the mode of the following numbers?
12, 11, 14, 10, 8, 13, 11, 9
a. 11
b. 10
C. 14
d. 8
the mode is 11 because it is the most frequent number in the list.
how would we name the polyonomial below?think about the degree and number term
We have the expression:
[tex](x+4)+(2x-7)[/tex]Adding the parts with x and the parts without x we have:
[tex](x+2x)+(4-7)_{}[/tex]Wich gives us:
[tex]3x\text{ - 3}[/tex]Wich is a polinomial of first degree.
A pet store makes a profit of $4.75 per bag on its line of organic dog food. The store wants to make a profit of no less than $5,700. Could selling 1,300 bags of dog food meet this goal?
A survey was given to people who own a sertain car. What percent of the people surveyed were completely satisfied with the car
The percent of the people surveyed were completely satisfied with the car is 55%.
How to calculate the percentage?Number of people completely satisfied = 1155
Number of people somewhat satisfied = 755
Number of people not satisfied = 190
Total number of people = 1155 + 755 + 190 = 2100
Therefore, the percent of the people surveyed were completely satisfied with the car will be:
= Number of people completely satisfied / Total number of people × 100
= 1155 / 2100 × 100
= 55%
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Solve: -3+12x=-3x+27
Answer:
the answer is 2 and one fourth
Step-by-step explanation:
because the 3s cancel out
