9 × x = 9x
-5 × x = -5x
9 × 4 = 36
-5 × 4 = -20
3 × 2 = 6
3 × -x = -3x
9x - 5x + 36 - 20 = 6 - 3x
4x + 16 = 6 - 3x
4x - 3x = - 16 + 6
x = - 10
: )
A student was measuring water in a graduated cylinder. The student read the amount of water at 20 ml. The actual amount of water in the graduated cylinder was 17 ml. What is the approximate percent error?
A.
3%
B.
8%
C.
15%
D.
18%
_____consists of activities that are
not required as part of one's formal
role in the organization
Select one:
a. None of the above
b. Lobbying
c. Influence
d. Political behaviour
= Political behaviour
Step-by-step explanation:
political behaviour consists of activities that are
not required as part of one's formal
role in the organization
Slope-Intercept Form of 3x – 4y – 16 = 0
Answer:
Y= 3/4x - 4
Step-by-step explanation:
Hey there!
The answer to your question is y = 3/4x - 4
We have to solve for y:
3x - 4y - 16 = 0
3x - 4y = 16
-4y = -3x + 16
y = 3/4x - 4
Hope it helps and have an amazing day!
Ernesto has already baked 3 pies, and he can bake 2 pies with each additional cup of sugar
he buys. Write an equation that shows the relationship between the additional cups of sugar
x and the number of pies y.
Write your answer as an equation with y first, followed by an equals sign.
Answer:
igcwochcd chocho dhvohov dochvo
I need help with this one
Answer:
Yes they are similar
Step-by-step explanation:
They have the same measurements adding up to 180.
Triangle RST angles are 120, 20, and 40
Triangle JKL angles are 120, 40, 20
Those are the same numbers.
EFGH is an isosceles trapezoid. If EG=3y+19 and FH=11y-21, find the value of y.
Answer:
y = 5
Step-by-step explanation:
The diagonals of the isosceles EFGH are equal. Therefore:
EG = FH
EG = 3y + 19
FH = 11y - 21
Thus:
3y + 19 = 11y - 21
Collect like terms
3y - 11y = -19 - 21
-8y = -40
Divide both sides by -8
y = 5
xy^2-x^2y
x= -1
y= -2
Answer:
xy(x-1y)
Step-by-step explanation:
xy^2-x^2y
=solution,
taking common
xy(x-1y)
Marking brainliest
Stefanie has 18 grams of 20% sugar syrup and john 30 of 25% if Stefanie and john mix the syrups together how many grams of sugar will they have?
Answer:
[tex]11.1\: \mathrm{g}[/tex]
Step-by-step explanation:
Stefanie's mixture of 18 grams has a 20% sugar content. Therefore, there are [tex]18\cdot 0.2=3.6[/tex] grams of sugar in her syrup.
John's mixture of 30 grams has a 25% sugar content. Therefore, there are [tex]30\cdot 0.25=7.5[/tex] grams of sugar in her syrup.
Therefore, if they mix their syrups together, there will be [tex]3.6+7.5=\fbox{11.1}[/tex]grams of sugar.
Answer:
I need this answer ASAP
Step-by-step explanation:
The cell phone plan used by Samantha charges her $0.40 per minute in addition to a $30 monthly fee. In January, she spoke for 100 minutes and
was charged $70. How much is she charged for February, when she spoke for 200 minutes?
A
$80
B
$100
$110
$140
Which row of the table reveals the y-intercept of function ? X f(x) 2 -1 0 2 1 0 2 ch -6 3 -24
Answer:
2, -1
Step-by-step explanation: Got it right on Edge
The row of the table of the y-intercept of the function is f ( 2 ) = -6
What is a function rule?The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.
A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given data ,
Let the function be represented as A
Now , the value of A is
f ( -1 ) = 2^2/3
f ( 0 ) = 2
f ( 1 ) = 0
f ( 2 ) = -6
f ( 3 ) = -24
Hence , the function is f ( 2 ) = -6
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19 ≥ 3f+1 ≥5 pls help
Answer:
Hi...u should do like this
18>3f>4
6>f>4/3
Need as soon as possible
Answer: 136 square feet
=======================================================
Explanation:
The front face is a triangle with base 6 and height 4.
The area is 0.5*base*height = 0.5*6*4 = 12 square feet
The back face is also 12 square feet since the front and back faces are identical triangles.
So far we have 12+12 = 24 square feet of surface area.
--------------------
The bottom face, that runs along the floor or ground, is a rectangle that is 6 ft by 7 ft. So we have 6*7 = 42 square feet of surface area here. This adds onto the 24 we found earlier to get 24+42 = 66 square feet so far.
To find the left and right upper faces, we'll need to find the length of the hypotenuse first. The 6 ft cuts in half to 3 ft. The right triangle on the left has side lengths of 4 ft and 3 ft as the two legs. Use the pythagorean theorem to find the hypotenuse is 5 ft. We have a 3-4-5 right triangle.
This means the upper left face is 5 ft by 7 ft leading to an area of 5*7 = 35 square feet. The same can be said about the upper right face.
So we add on 35+35 = 70 more square feet to the 66 we found earlier to get a grand total of 70+66 = 136 square feet of surface area.
Find the value of x
12
36
18
24
27
36
0 11
9
0 10
012
Answer:
11
Step-by-step explanation:
I think if I am wrong I am sorry
517 37/50 + 312 3/100
Answer:
Exact form: 32977/100
Decimal form: 829.77
Mixed number form: 829 77/100
Step-by-step explanation:
Rewrite the following equation as a function of x
1/16x + 1/320y - 29 = 0
A. F(x) = -9280 + 1/16x
B. F(x) = 9280 - 20x
C. F(x) = -9280 + 20x
D. F(x) = 9280 - 1/16x
Answer:
the awnser is b hope this helps
Step-by-step explanation:
The equation as a function of x is f(x)=9280-20x. Therefore, option B is the correct answer.
The given function is x/16 + y/320 - 29 = 0.
What is a function?Functions are the fundamental part of calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x. Mapping or transformation is used to denote a function in math. These functions are usually denoted by letters such as f, g, and h. The domain is defined as the set of all the values that the function can input while it can be defined. The range is all the values that come out as the output of the function involved. Co-domain is the set of values that have the potential of coming out as outputs of a function.
Now, the LCM of denominators 16 and 320 is 320.
So, 20x/320 + y/320 - 9,280/320 = 0
⇒20x+y-9280=0
⇒y=9280-20x
The equation as a function of x is f(x)=9280-20x. Therefore, option B is the correct answer.
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John is going camping, and he needs to buy a tent. The outdoor store has one that cost $90, but it's on sale for 25% off. What is the sale price?
A.$22.50
B.$65.00
C.$67.50
D.$112.50
Answer:
A
Step-by-step explanation:
Okay so, im not the best at explaining, but so we have a percentage. its 25%. you want to take the 25% and put it over 100 because a percentage is a number or ratio expressed as a fraction of 100. so it will be written as 25%/100
divide 25 by 100 and you get 0.25, correct? so that's one step further towards the answer.
then we write x/90 because we don't know (well we do) what we're gonna put. but, we're gonna multiply 0.25 by 90 and we get 22.5, which is equivalent to 22.50.
Kelly,Marvin and Indhu saved $100 altogether.Kelly saved $16 more than Indhu .Marvin saved twice the amount Indhu saved. How much did kelly save?
Answer:
$37
Step-by-step explanation:
Let $x be the amount Kelly saved.
Kelly saved $x.
Indhu saved $(x-16). (Kelly saved $16 more than Indhu)
Marvin saved $2(x-16). (Marvin saved twice the amount Indhu saved)
They saved $100 together.
Therefore we could set up an equation.
x+(x-16)+2(x-16)=100
x+x-16+2x-32=100
4x=148
x=37
Therefore Kelly saved $37.
It was John's birthday, 1/2 of his cupcakes were choco lava, the other half was strawberry. There were 10 strawberry cupcakes. Rick ate 2/4 of choco lava cupcakes. Steward ate 1/10 of the strawberry How much did Rick and Steward eat?
Answer:
6 cupcakes or 6/10 or 3/5
Step-by-step explanation:
A surf shop charges $6 to rent a wetsuit and $12 per hour to rent a surfboard. Write a function to model the cost, c, to rent a wetsuit and surfboard for h hours.
Answer:
c(h)=12h+6
because the swimsuit only needs to be paid for once, whereas the surfboard is charged on an hourly basis
use one or more exponents to write the expression 9 x 9 x 9 x 9 x 7 x 7
Answer:
9^3 times 7^2
Step-by-step explanation:
The mean amount purchased by a typical customer at Churchill's Grocery Store is $27.50 with a standard deviation of $7.00. Assume the distribution of amounts purchased follows the normal distribution. For a sample of 68 customers, answer the following questions
a. What is the likelihood the sample mean is at least $30.00?
b. What is the likelihood the sample mean is greater than $26.50 but less than $30.00?
c. Within what limits will 90 percent of the sample means occur?
Answer:
a) 0.0016 = 0.16% probability that the sample mean is at least $30.00.
b) 0.8794 = 87.94% probability that the sample mean is greater than $26.50 but less than $30.00
c) 90% of sample means will occur between $26.1 and $28.9.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this question, we have that:
[tex]\mu = 27.50, \sigma = 7, n = 68, s = \frac{7}{\sqrt{68}} = 0.85[/tex]
a. What is the likelihood the sample mean is at least $30.00?
This is 1 subtracted by the pvalue of Z when X = 30. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem, we have that:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{30 - 27.5}{0.85}[/tex]
[tex]Z = 2.94[/tex]
[tex]Z = 2.94[/tex] has a pvalue of 0.9984
1 - 0.9984 = 0.0016
0.0016 = 0.16% probability that the sample mean is at least $30.00.
b. What is the likelihood the sample mean is greater than $26.50 but less than $30.00?
This is the pvalue of Z when X = 30 subtracted by the pvalue of Z when X = 26.50. So
From a, when X = 30, Z has a pvalue of 0.9984
When X = 26.5
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{26.5 - 27.5}{0.85}[/tex]
[tex]Z = -1.18[/tex]
[tex]Z = -1.18[/tex] has a pvalue of 0.1190
0.9984 - 0.1190 = 0.8794
0.8794 = 87.94% probability that the sample mean is greater than $26.50 but less than $30.00.
c. Within what limits will 90 percent of the sample means occur?
Between the 50 - (90/2) = 5th percentile and the 50 + (90/2) = 95th percentile, that is, Z between -1.645 and Z = 1.645
Lower bound:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]-1.645 = \frac{X - 27.5}{0.85}[/tex]
[tex]X - 27.5 = -1.645*0.85[/tex]
[tex]X = 26.1[/tex]
Upper Bound:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]1.645 = \frac{X - 27.5}{0.85}[/tex]
[tex]X - 27.5 = 1.645*0.85[/tex]
[tex]X = 28.9[/tex]
90% of sample means will occur between $26.1 and $28.9.
2/3 of a yard = ______ inches
Answer:
24 inches
Step-by-step explanation:
you're welcome
I need help with finding slopes from two points thank you
Answer:
i do believe the answer is 6/7
Need help #1. The answer is shown, but I don’t know how to get to the answer. Please teach and show steps.
Answer:
B
Step-by-step explanation:
We are given that x and y are functions of time t such that x and y is a constant. So, we can write the following equation:
[tex]x(t)+y(t)=k,\text{ where $k$ is some constant}[/tex]
The rate of change of x and the rate of change of y with respect to time t is simply dx/dt and dy/dt, respectively. So, we will differentiate both sides with respect to t:
[tex]\displaystyle \frac{d}{dt}\Big[x(t)+y(t)\Big]=\frac{d}{dt}[k][/tex]
Remember that the derivative of a constant is always 0. Therefore:
[tex]\displaystyle \frac{dx}{dt}+\frac{dy}{dt}=0[/tex]
And by subtracting dy/dt from both sides, we acquire:
[tex]\displaystyle \frac{dx}{dt}=-\frac{dy}{dt}[/tex]
Hence, our answer is B.
Answer:
Let x and y be functions of time t such that the sum of x and y is constant.
(B) is the right answer5. Following data indicates the number of vehicles arrived during past
100 days in a certain tolling station.
Vehicles
No. of days
0 - 10
3
10 - 20
14
20 - 30
53
30-40
20
40 - 50
10
Calculate average number of vehicles in a day,
Answer:
what are you supposed to do here?
Step-by-step explanation:
Find 3.5% of 950 g.
Answer:
33.25 g
Step-by-step explanation:
Answer:
33.25 g
plz refer to the picture
Question 9 Multiple Choice Worth 1 points) (03.01 MOO) 13 Simplify
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{\frac{ \sqrt[4]{ \\ 3} }{ \sqrt[5]{3} } }[/tex]
Note : For a problem like this, all we have to do is Rewrite the problem in exponential form to give us an answer of :
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{ {_3}\cfrac{1}{20} }[/tex]
[tex]\therefore[/tex]The correct part of the problem is A) [tex] \bold{ {_3}\cfrac{1}{20} }[/tex]
Identify what property is 17 + 54 + 6?
Identity property
distributive property
commutative property
associative property
A game of chance involves spinning a wheel with 4 number on it. The wheel is designed so that the result of each spin Xhas the following probability distribution. 2 3 Result of a spin .x Probability : 0.50
(a) Find and interpret the mean of X.
(b) Find and interpret the standard deviation of x.
(c) It costs a player $5 for a single spin. The player will receive (in dollars) three times the number that appears. So the profit for one play of this game is Yeur 5. What is the mean and standard deviation of 7
Distribution table :
X : ___ 1 _____ 2 _____ 3 ______ 4
P(x) __0.50 __0.25 __ 0.15 ____ 0.10
Answer:
1.85 ; 1.014 ;` 0.55 ; 3.042
Step-by-step explanation:
Probability distribution :
X : ___ 1 _____ 2 _____ 3 ______ 4
P(x) __0.50 __0.25 __ 0.15 ____ 0.10
The mean: E(x) = Σ(X * p(x))
(1*0.5) + (2*0.25) + (3*0.15) + (4 *0.10)
= 1.85
Standard deviation = sqrt(Var(x))
Var(x) = Σ(x²*p(x)) - E(x)²
Var(x) = ((1^2*0.5) + (2^2*0.25) + (3^2*0.15) + (4^2 *0.10)) - 1.85^2
= 4.45 - 3.4225
= 1.0275
Standard deviation = sqrt(1.0275)
Standard deviation = 1.0136567
Standard deviation(X) = 1.014
3.)
Cost of spin = $5
Amount, y to be received = 3 times the number that appears
y = 3x - cost of playing
y = 3x - 5
E(y) = E(3x - 5)
E(y) = E(3x) - 5
Recall :E(x) = 1.85
E(y) = 3(1.85) - 5
E(y) = 0.55
Standard deviation :Sd(y) =
Sd(3x - 5)
3(1.014)
= 3.042
I WILL GIVE BRAINLIST AND 50 POINTS
The students in a class made graphs to keep track of the number of pages they read in their books.
Which graph shows a proportional relationship?
A.
B.
C.
D.
Step-by-step explanation:
A proportional relationship graph would show that the points can be arranged in a line that passes through the origin.
All of the points in Graphs B, C and D cannot be connected in 1 straight line, hence they are not proportional relationships.
Only Graph A shows a proportional relationship.
Answer:
a
Step-by-step explanation: