Answer:
55.3
Step-by-step explanation:
19.9% of 278 = 55.322
55.322 rounded to the nearest tenth = 55.3
Answer:55.3
Step-by-step explanation:
At the start of 2014 Mike's car was worth £12000.
The value of the car decreased by 30% every year.
Work out the value of his car at the start of 2017.
The value of Mike's car at the start of 2017 is £4116.
What is percentage ?
Percentage is a ratio in the form of fraction of 100.
Percentage is defined by the "%" symbol.
What is the required value of the car ?At the start of the year 2014, Mike's car was worth £12000.
The value of the car decreased by 30% every year.
So, The value of the car at the start of 2015 = £12000×[tex](1-\frac{30}{100})[/tex]
= £ 12000×[tex]\frac{7}{10}[/tex]
= £ 8400
Again, The value of the car at the start of 2016 = £8400×[tex](1-\frac{30}{100})[/tex]
= £8400×[tex]\frac{7}{10}[/tex]
= £5880
∴ The value of the car at the start of 2017 = £5880×[tex](1-\frac{30}{100})[/tex]
= £5880×[tex]\frac{7}{10}[/tex]
= £4116
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use elimination to solve 2x+y=17,y=4x+10
Answer:
gay
Step-by-step explanation:
hha
A highway has an optional toll lane that drivers may take to reduce the time they spend driving. Drivers pay a small fee to enter the toll lane ($0.25). Then, once they leave the toll lane, they pay a fee based on the number of miles they have traveled on the toll lane. Assume that the driver may leave the lane after any whole number of miles, and pays for exactly that number, without rounding up. Note that there is a linear relationship between the number of miles a vehicle has traveled and the price of the toll.
# of Miles traveled on toll lane Toll ($)
0 .25
1 1.00
2 1.75
5 4.00
10 7.75
A. If Frank is on the toll road for 8.00 miles and then leaves the lane, how much will he have to pay total for the trip?
B. Each day, Susan has to pay a toll of $10.00 when she uses the toll lane to get to school. How many miles does Susan travel on the toll lane to get to school?C. John started a carpool with his coworkers to save money. He and his three passengers split the cost of the toll. If each person pays about $2.31 (which includes their contribution to the toll lane entry fee), how many miles do they travel on the toll lane?
Answer:
A. If Frank is on the toll road for 8.00 miles and then leaves the lane, how much will he have to pay total for the trip?
$6.25B. Each day, Susan has to pay a toll of $10.00 when she uses the toll lane to get to school. How many miles does Susan travel on the toll lane to get to school?
13 milesC. John started a carpool with his coworkers to save money. He and his three passengers split the cost of the toll. If each person pays about $2.31 (which includes their contribution to the toll lane entry fee), how many miles do they travel on the toll lane?
9 milesStep-by-step explanation:
the toll lane charges $0.25 fixed plus $0.75 per mile driven: fee = $0.25 + $0.75miles
a) Frank ⇒ $0.25 + (8 x $0.75) = $6.25
b) Susan ⇒ $10 - $0.25 = $9.75 / 0.75 = 13 miles
c) John ⇒ $2.31 x 3 = $6.93 - $0.25 = $6.68 / 0.75 = 8.91 ≈ 9 miles. Each passenger should pay $2.33 because the total toll lane fee is $7.
Imagine that you need to buy some chicken for dinner tonight. You found an ad showing that the store across town has chicken on sale for $1.59 a pound. Your usual neighborhood store sells the same chicken for $2.89 a pound. Is it worth the extra drive?
Look at the information below you’ll need to solve the problem.
How much chicken will you be buying? 3 pounds
How does the distance and the time it takes to get there, compare between the two stores? Your neighborhood store is 2.1 miles away, and takes about 8 minutes. The store across town is 8.6 miles away, and takes about 24 minutes.
What kind of mileage does your car get? It averages about 22 miles per gallon in the city.
How many gallons of fuel does your car hold? About 13 gallons
How much is gas? About $1.98/gallon right now.
Are there any other pieces of information you need to solve the problem? Which option would you choose? Is going to the further store cheaper? Or is going to the close store cheaper? How much money does the cheaper option save you? Give your answer to the nearest cent.
Answer:
Step-by-step explanation:
Considering the store in your neighborhood, price per pound of chicken is $2.89. The cost of 3 pounds is
3 × 2.89 = $8.67
Distance = 2.1 miles
The car averages about 22 miles per gallon in the city. It means that the number of gallons needed is
2.1/22 = 0.095 gallons
Cost of gas = $1.98/gallon
Cost of 0.095 gallons =
1.98 × 0.095 = $0.1881
Total cost = 8.67 + 0.1881 = $8.86
Considering the store across town, price per pound of chicken is $1.59. The cost of 3 pounds is
3 × 1.59 = $4.77
Distance = 8.6 miles
The car averages about 22 miles per gallon in the city. It means that the number of gallons needed is
8.6/22 = 0.39 gallons
Cost of gas = $1.98/gallon
Cost of 0.39 gallons =
1.98 × 0.39 = $0.77
Total cost = 4.77 + 0.77 = $5.54
Therefore, it is cheaper going to the further store. The amount that the cheaper option saves is
8.86 - 5.54 = $3.32
Negative numbers have positive square roots.
A. True
B. False
Answer: False.
Step-by-step explanation:
False. Negative numbers have imaginary roots, represented by [tex]i[/tex].
For instance, the square root of negative 36 would be 6i.
According to the Gallup survey, 23% of Americans reported eating less meat in the past year than they had previously. Results for this Gallup poll are based on telephone interviews conducted Sept. 16-30, 2019, with a random sample of 2,431 adults, aged 18 and older, living in all 50 U.S. states and the District of Columbia. Test that the proportion of Americans who reduced meat consumption last year is less than 0.25. Use α = 0.05. State the rejection region. Group of answer choices z > 1.65 z > 1.65 z < − 1.65 z < − 1.65 z > 1.96 z > 1.96
Answer:
Null hypothesis:[tex]p\geq 0.25[/tex]
Alternative hypothesis:[tex]p < 0.25[/tex]
The statistic would be given by:
[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)
Now we need to find the critical value for the rejection zone of the null hypothesis. Since we have a left tailed test we need to find in the normal standard distirbution a value who accumulate 0.05 of the area in the left tail and we got:
[tex] z_{crit}= -1.65[/tex]
And the best choice for this case would be:
z < − 1.65
Step-by-step explanation:
Information provided
n=2431 represent the random sample taken
[tex]\hat p=[/tex] estimated proportion of interest
[tex]p_o=0.25[/tex] is the value that we want to test
[tex]\alpha=0.05[/tex] represent the significance level
Confidence=95% or 0.95
z would represent the statistic
Hypothesis to test
We want to verify if the true proportion of Americans who reduced meat consumption last year is less than 0.25, then the system of hypothesis are :
Null hypothesis:[tex]p\geq 0.25[/tex]
Alternative hypothesis:[tex]p < 0.25[/tex]
The statistic would be given by:
[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)
Now we need to find the critical value for the rejection zone of the null hypothesis. Since we have a left tailed test we need to find in the normal standard distirbution a value who accumulate 0.05 of the area in the left tail and we got:
[tex] z_{crit}= -1.65[/tex]
And the best choice for this case would be:
z < − 1.65
circle with a radius of 3 has a sector with a central angle of 17/9 pi radians. what is the area of the sector
Answer:
17/2 pi
Step-by-step explanation:
Area of the whole circle is pi r², which is 9 pi
9 pi x 17/9 pi / 2 pi = 17/2 pi
What is 0.05% written as a decimal
Answer:
Any percentage cam be written as a part of 100
0.05% = 0.05/100 = 0.0005
I hope this helps you
Answer: .0005
Step-by-step explanation:
Move 2 spaces to the left
Convert 63 degrees C to
degrees F.
Celcius to fahrenheit conversion is just using this formula
(x°C × 9/5) + 32 = y°F
where x is the degrees in celcius and y is the degrees in fahrenheit.
Le'ts plug in 63 into the equation
63 x 9/5=113.4+32=145.4 degrees fahrenheit.
Find the volume of the cone radius is 7 and height is 12
Answer:
[tex]615.75units^3[/tex]
Step-by-step explanation:
[tex]V=\pi r^2\frac{h}{3} \\=\pi 7^2\frac{12}{3} \\=615.75units^3[/tex]
Which equation could generate the curve in the graph below?
Answer:
[tex]y=2x^2+8x+8[/tex]
Step-by-step explanation:
Notice that we are looking for a quadratic function that has only one real solution for y=0, that is a unique point that touches the x-axis
We need therefore to look at the discriminant associated with all 4 equations constructed by equaling y to zero. We then try to find one that gives discriminant zero , corresponding to a unique real solution to the equation.
a) [tex]9x^2+6x+4=0[/tex] has discriminant: [tex]6^2-4(9)(4)=-108[/tex]
b) [tex]6x^2-12x-6=0[/tex] has discriminant: [tex](-12)^2-4(6)(-6)=288[/tex]
c) [tex]3x^2+7x+5=0[/tex] has discriminant: [tex](7)^2-4(3)(5)=-11[/tex]
d) [tex]2x^2+8x+8=0[/tex] has discriminant: [tex](8)^2-4(2)(8)=0[/tex]
Therefore, the last function is the one that can have such graph
Answer:
d
Step-by-step explanation:
Given that m angle KLH=120^ which statement about the must be true? angle HLM is bisected by angle GLJ is bisected by vec LH . m angle KLG=m angle HLJ m angle HLI=m angle LLM
Answer:angle hlm is bisected by Lj
Step-by-step explanation:
The true statement is ∠HLM is bisected by LI
What is bisect?Bisect means to divide a geometric figure to two equal half.Dividing line is bisector.Given that ∠KLH=120°
We know that angle of straight line is 180°
∴∠KLM=180°
∠KLH+∠HLM=180°
120°+∠HLM=180°
∠HLM=60°
From figure, ∠HLI=30° and ∠ILM=30°
Line LI cuts the angle HLM into two equal parts such as HLI and ILM.
Therefore, ∠HLM is bisected by LI
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Evaluate the following:
a to the power 3 times a to the power 6 times a to the power 4
Answer: a to the power 13
Step-by-step explanation: identity: a^m × a^n= a^m+n
^ means 'to the power'
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(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)
A binomial probability experiment is conducted with given parameters. Compute the probability of x successes in the n independent trials of the experiment.
N=15, p=0.2,×=4
Answer:
P(X = 4) = 0.1876
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
In this question:
[tex]n = 15, p = 0.2[/tex]
We want P(X = 4). So
[tex]P(X = 4) = C_{15,4}.(0.2)^{4}.(0.8)^{11} = 0.1876[/tex]
Estimate the volume of the solid that lies below the surface z = ex+y and above the rectangle
1. The volume under the surface [tex]f(x,y)=e^{x+y}[/tex] is given by the double integral,
[tex]\displaystyle\int_0^1\int_0^1e^{x+y}\,\mathrm dx\,\mathrm dy[/tex]
We split up the integration region into a 2x3 grid of rectangles whose upper right corners are determined by the right endpoints of the partition along either axis. That is, we split up the [tex]x[/tex] interval [0, 1] into 2 subintervals,
[0, 1/2], [1/2, 1]
with right endpoints given by the arithmetic sequence,
[tex]r_i=0+\dfrac{i(1-0)}2=\dfrac i2[/tex]
for [tex]i\in\{1,2\}[/tex], and the [tex]y[/tex] interval [0, 1] into 3 subintervals,
[0, 1/3], [1/3, 2/3], [2/3, 1]
with right endpoints
[tex]r_j=0+\dfrac{j(1-0)}3=\dfrac j3[/tex]
for [tex]j\in\{1,2,3\}[/tex].
Then the upper right corners of the 6 rectangles are the points
(1/2, 1/3), (1/2, 2/3), (1/2, 1), (1, 1/3), (1, 2/3), (1, 1)
generated by the sequence [tex](r_i,r_j)[/tex].
The integral is thus approximated by the sum
[tex]\displaystyle\sum_{j=1}^3\sum_{i=1}^2f(r_i,r_j)\dfrac{1-0}m\dfrac{1-0}n=\dfrac16\sum_{j=1}^3\sum_{i=1}^2f(r_i,r_j)=\frac{e^{5/6}+e^{7/6}+e^{4/3}+e^{5/3}}6[/tex]
or approximately 2.4334. (Compare to the actual value of the integral, which is close to 2.952.)
For the midpoint rule estimate, we replace the sampling points [tex](r_i,r_j)[/tex] with [tex](m_i,m_j)[/tex], i.e. the midpoints of each subinterval, so the set of sampling points is
(1/4, 1/6), (3/4, 1/6), (1/4, 1/2), (3/4, 1/2), (1/4, 5/6), (3/4, 5/6)
and the integral is approximately
[tex]\displaystyle\sum_{j=1}^3\sum_{i=1}^2f(m_i,m_j)\dfrac{1-0}m\dfrac{1-0}n=\frac{e^{5/12}+e^{3/4}+e^{11/12}+e^{13/12}+e^{5/4}+e^{19/12}}6[/tex]
or about 2.908.
2. We approach the second integral the same way. Split up the [tex]x[/tex] interval into 8 subintervals with left and right endpoints given respectively by
[tex]\ell_i=-2+\dfrac{(i-1)(2-(-2))}8=\dfrac{i-5}2[/tex]
[tex]r_i=-2+\dfrac{i(2-(-2))}8=\dfrac{i-4}2[/tex]
for [tex]i\in\{1,2,\ldots,8\}[/tex], and the [tex]y[/tex] interval into 2 subintervals with
[tex]\ell_j=0+\dfrac{(j-1)(2-0)}2=j-1[/tex]
[tex]r_j=0+\dfrac{j(2-0)}2=j[/tex]
for [tex]j\in\{1,2\}[/tex].
The upper left corners of the rectangles in this grid are given by the sequence [tex](\ell_i,r_j)[/tex]. So the integral is approximately
[tex]\displaystyle\sum_{j=1}^2\sum_{i=1}^8f(\ell_i,r_j)\frac{2-(-2)}m\frac{2-0}n=51[/tex]
(Compare to the actual value, 32.)
Sandra calculated the height of a cylinder that has a volume of 576 π cubic centimeters and a radios of 8 centimeters. Her work is shown below.
Answer:
[tex] \boxed{Height \: of \: cylinder = 9 \: centimeters} [/tex]
Given:
Volume of cylinder = 576π cubic centimeters
Radius of cylinder (r) = 8 centimeters
Step-by-step explanation:
Let the height of cylinder be 'h'
[tex] = > Volume \: of \: cylinder = \pi {r}^{2} h \\ \\ = > 576 \cancel{\pi} = \cancel{ \pi}( {8}^{2} )h \\ \\ = > 576 = 64h \\ \\ = > 64h = 576 \\ \\ = > h = \frac{576}{64} \\ \\ = > h = 9 \: centimeters [/tex]
Height of cylinder = 9 centimeters
If x = 0 and y > 0, where is the point (x, y) located?
Answer:
On the positive Y-axis
Step-by-step explanation:
Answer:
Positive Y-axis
Step-by-step explanation:
Find the slope-intercept form of the equation of the line
passes through the point (-5, -4) and has slope 4.
Answer:
y= 4x +16
Step-by-step explanation:
slope-intercept form:
y=mx+c, where m is the gradient and c is the y-intercept
Given that the slope is 4, m=4.
y= 4x+c
To find the value of c, substitute a coordinate.
When x= -5, y= -4,
-4= 4(-5) +c
-4= -20 +c
c= 20 -4
c=16
Thus, the equation of the line is y= 4x+16.
Evaluate -a when a is
(−−99)
Answer:
a = -99
Step-by-step explanation:
(−−99) is equal to just 99 since a negative and a negative equals a positive.
If -a is equal to 99, a must equal -99.
Please help it will be fast and easy
Answer:
B
Step-by-step explanation:
36 candy
6 different types
if I pick random I'll get 1 of 6
.................................
Решить систему методом сложения:{4x-6y=2
2x-y=5
Answer:
[tex]x=\frac{7}{2} =3.5\\\\y=2[/tex]
Step-by-step explanation:
The addition method (elimination method) allows us to combine two equations in such a way that the resulting equation has only one variable. Then we can use simple algebraic methods to solve that variable
Let:
[tex]4x-6y=2\hspace{10}(1)\\\\and\\\\2x-y=5\hspace{15}(2)[/tex]
Let's multiply (2) by -2:
[tex]-2*(2):\\\\2x(-2)-y(-2)=5(-2)\\\\-4x+2y=-10\hspace{12}(-2*(2))[/tex]
Now, add (1) and (-2*(2)):
[tex](1)+(-2*(2)):\\\\4x+(-4x)-6y+(2y)=2+(-10)\\\\-4y=-8[/tex]
Hence, solving for y:
[tex]y=\frac{-8}{-4} =2[/tex]
Replacing y into (2):
[tex]2x-(2)=5[/tex]
Solving for x:
[tex]2x=5+2\\\\2x=7\\\\x=\frac{7}{2} =3.5[/tex]
Therefore:
[tex]x=\frac{7}{2} =3.5\\\\y=2[/tex]
Choose the best reason for factoring out the greatest common factor, if there is one, before attempting to factor a trinomial. Choose the correct answer below. A. Factor out the greatest common factor first because it makes the trinomial easier to factor if the numerical and variable parts are simpler. B. Factor out the greatest common factor first because there is always a greatest common factor to remove. C. Factor out the greatest common factor first because it completes the factorization of the trinomial. D. Factor out the greatest common factor first because the constant term will be positive.
Answer:
A
Step-by-step explanation:
Removal of greatest common multiple makes the equation easier to factor it.
The best reason for factoring out the greatest common factor is,
⇒ Factor out the greatest common factor first because it makes the trinomial easier to factor if the numerical and variable parts are simpler.
What is Greatest common factors?The highest number that divides exactly into two more numbers, is called Greatest common factors.
Given that;
We have to choose the best reason for factoring out the greatest common factor, if there is one, before attempting to factor a trinomial.
Now, We know that;
When we factor out the greatest common factor first then it makes the trinomial easier to factor if the numerical and variable parts are simpler.
Thus, The best reason for factoring out the greatest common factor is,
⇒ Factor out the greatest common factor first because it makes the trinomial easier to factor if the numerical and variable parts are simpler.
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write Help Marshmello i wasn't born yesterday.
Answer:
1/4
Step-by-step explanation:
To find the slope given two points
m = (y2-y1) / (x2-x1)
= (4-3)/(5-1)
= 1/4
Answer:
[tex] \frac{1}{4} [/tex]
Step-by-step explanation:
[tex] \frac{y1 - y2}{x1 - x2} \\ \frac{3 - 4}{1 - 5} \\ \frac{ - 1}{ - 4} \\ = \frac{1}{4} [/tex]
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10)
For which value of x is the equation 2(1 + x) = x + 3 true?
A) 1
B) 2
03
D)
4
Answer:
A) 1
Step-by-step explanation:
2(1+x)= x+3
2(1+1)= 1+3
2×2= 4
4=4
Hence proven
Answer:
A. 1
Step-by-step explanation:
2(1 + x) = x + 3
2 + 2x = x + 3
2x - x = 3 - 2
x = 1
What is the area of circle with a diameter of 22 ft? (use 3.14 for pi; show your work in numbers)
Answer:
69.08
Step-by-step explanation:
π×d
3.14×22=69.08
For two years, two samples of fish were taken from a pond. Each year, the second sample was taken six months after the first sample.
Table:2 tables. A 3-column table with 4 rows. Column 1 is labeled Year 1 with entries trout, catfish, bass, all fish. Column 2 is labeled Sample 1 with entries 3, 9, 8, 20. Column 3 is labeled Sample 2 with entries 5, 9, 6, 20. The second table is a 3-column table with 4 rows. Column 1 is labeled Year 1 with entries trout, catfish, bass, all fish. Column 2 is labeled Sample 1 with entries 8, 10, 2, 20. Column 3 is labeled Sample 2 with entries 10, 9, 1, 20.
Question:Make an inference about which fish increased its predicted average population from Year 1 to Year 2.
A.All three types of fish increased their predicted average population.
B.Trout increased its predicted average population.
C.Bass increased its predicted average population.
D.None of the fish increased their predicted average population.
Answer:
B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Trout increased its predicted average population.
William wants to invest $30,000 in a mutual fund.
a) Bank A has an annual interest rate of 6.5% for 5 years. How much money will he have
at the end of the 5 years? $
Answer:
He will have $39,750 at the end of five years.
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:
[tex]E = P*I*t[/tex]
In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:
[tex]T = E + P[/tex]
In this question:
[tex]P = 30000, I = 0.065, t = 5[/tex]
Interest earned:
[tex]E = P*I*t = 30000*0.065*5 = 9750[/tex]
Total amount:
[tex]T = E + P = 9750 + 30000 = 39750[/tex]
He will have $39,750 at the end of five years.
Is a toy collector’s reasoning behind buying toys more similar or different than the average person who buys toys?
plez explain
Answer:
Probably different. The average customer will want to buy toys to play with, to have fun with, unlike a collecters motif which is to display their items.
plz Help your fav. Marshmello i wasn' t,,,,, xx born yesterday.
Answer:
x=9
Step-by-step explanation:
first you would distribute the -4 and the -12
-24x-12=-12x-120
Then you would add 120 to both sides
-24x+108=-12x
Then add 24x to both sides
108=12x
Then divide both sides by 12
x=9
Answer:
[tex]x = 9[/tex]
Step-by-step explanation:
[tex] - 4(6x + 3) = - 12(x + 10) \\ - 24x - 12 = - 12x - 120 \\ - 24x + 12x = 12 - 120 \\ - 12x = - 108 \\ \frac{ - 12x}{ - 12} = \frac{ - 108}{ - 12} \\ x = 9[/tex]
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Mrs. Chu's famous peanut butter cookies call for 1 cup of peanut butter for every 1/2 of a cup of oil. Today, she wants to make a huge batch with 1 cup of oil. How much peanut butter should she use?
Answer:
she should use 2 cups of peanut butter
Step-by-step explanation:
to know the answer to that
use this equation (pb is peanut butter &o is oil)
1cup of pb=1/2 cup of o
?=1 cup of o
1×1÷1/2= 1×1×2/1=2co cups of pb