A board 30 metres long is to be divided into 2pieces so that the larger piece is 3 metres longer than twice the shorter piece. How long will the pieces be?
Answer: 9 and 21
Step-by-step explanation:
board=30m
divide by 2 pieces
one piece, we call it a
b, the other piece is b= 2a+3
a+b=30
a+2a+3=30
3a=30-3
3a=27
a=9
b=21
A function, fix), models the depth of water in a wading pool that is filling at a rate of 11 gallons per minute. Which of these
describes why f(x) can be considered a linear function?
I. For every 1 minute interval, the depth of water in the wading pool increases by the same amount.
II. The function grows by equal factors every minute.
III. The slope of the function is constant.
a. I only
b. I and III only
c. II and III only
d. I, II, and III
Answer: the answer is C trust me bye
Step-by-step explanation:
find an equation for the line that passes through the points (2,-6) and (-4,-4)
Answer:
-1/3 I think
Step-by-step explanation:
use the slope formula
The $40 million lottery payment that you have just won actually pays $2
Answer:
wait what is the question?
Step-by-step explanation:
??
3x = y and x - 2y = 10
Answer: Rewrite equations:
3x=y;x−2y=10
Step: Solve3x=yfor y:
3x=y
3x+−y=y+−y(Add -y to both sides)
3x−y=0
3x−y+−3x=0+−3x(Add -3x to both sides)
−y=−3x
−y
−1
=
−3x
−1
(Divide both sides by -1)
y=3x
Step: Substitute3xforyinx−2y=10:
x−2y=10
x−23x=10
−5x=10(Simplify both sides of the equation)
−5x
−5
=
10
−5
(Divide both sides by -5)
x=−2
Step: Substitute−2forxiny=3x:
y=3x
y=(3)(−2)
y=−6(Simplify both sides of the equation)
Step-by-step explanation:
Please help!! I can't get it!
Answer:
B is the answer
hope it helps
Need help fastttt anybody
Answer:
ok look, you gonna learn somethin ight
Step-by-step explanation:
If you want answer you usually wanna put at least 15 or more points invested after grinding points its more worth and more people will go for it instead of 5 points just saying it happened to me to i did a 5 points thing and no-one answered then, I did 50 and I got like 5 people saying NOO I WANTED TO ANSWER so yeah no hate but I'm just saying you can report if you think is mean which I already know is rude to most people and idc really. wasnt copied from e
What is 7/12 plus 1/4 simplest form
Answer:
i think its 1/3 sorry if im wrong
What is measure 1, 2, 3, 4, 5?
Answer:
The triangles formed are iscocleles triangles making their bases the same angle measures. Additionally, RST anf RGT are congruent since they are each equal to 1/2 of RQTS
We also know that the interior angles of any triangle add up to 180°
Therefore,
m<R + m<T + 126 = 180
m<R + m<T = 54
Since m<R and m<T are equal, R and T must be equal to 27
m<R=27
m<t=27
Therefore,
m<1=27
m<2=27
m<3=27
m<4=27
m<5=126
Step-by-step explanation:
Pecan Theatre Inc. owns and operates movie theaters throughout Florida and Georgia. Pecan Theatre has declared the following annual
dividends over a six-year period: Year 1, $16,000; Year 2, $32,000; Year 3, $116,000; Year 4, $126,000; Year 5, $138,000; and Year 6,
$152,000.
During the entire period ended December 31 of each year, the outstanding stock of the company was composed of 20,000 shares of cumulative
preferred 2% stock, $100 par, and 100,000 shares of common stock, $15 par.
Required:
1. Determine the total dividends and the per-share dividends declared on each class of stock for each of the six years. There were no dividends
in arrears at the beginning of Year 1. Summarize the data in tabular form.
Note: If required, round your answers to two decimal places. If the amount is zero, enter "0".
Preferred Dividends
Common Dividends
Total
Dividends
Year
Total
Per Share
Total
Per Share
Year 1
$ 16,000
16,000
0.80
0
0
Year 2
32,000
32,000
1.60
0
0
Year 3
116,000
Year 4
126,000
Year 5
138,000
Year 6
152,000
Teacher made a table to show which months her students birthdays took place. There are four birthdays in August and in total they are 33 students. What is the ratio of students with August birthdays to the total number of students
Answer:
4:33 or 4/33
Step-by-step explanation:
Divide the fractions:
5/8 divided by 1/24 =
Answer:
The answer to this question is 15.
Step-by-step explanation:
We know that dividing a fraction by another fraction is the same as multiplying a fraction by the other fractions reciprocal, where the numerator and denominator are switched.
5/8 ÷ 1/24 =
5/8 x 24/1 =
120/8
120 ÷ 8 = 15.
Hence, the answer to this question is 15.
Hope this helps! :D
Final Answer:
15
Step-by-step explanation:
5/8 ÷ 1/24
5/8 ÷ 24/1
5/8 × 24/1 = 120/8
120/8 ⇒ 15/1 ⇒ 15
A biased dice was rolled and the scores recorded in the table below
Score. Frequency
1. 17
2. 24
3. 23
4. 10
5. 16
6. 30
A) estimate the probability that on the next roll the score will be 4
Given:
The table of score and frequency.
To find:
The probability that on the next roll the score will be 4.
Solution:
From the given table it is clear that the score 4 occurs 10 times.
Number of times the dice was rolled = 17 + 24 + 23 + 10 + 16 + 30
= 120
The probability that on the next roll the score will be 4 is
[tex]\text{Required probability}=\dfrac{\text{Number of times 4 occurs}}{\text{Number of times the dice was rolled}}[/tex]
[tex]\text{Required probability}=\dfrac{10}{120}[/tex]
[tex]\text{Required probability}=\dfrac{1}{12}[/tex]
Therefore, the required probability is [tex]\dfrac{1}{12}[/tex].
the lowest common denominator of 3/4, 4/5 and 2/3 is
Answer:
The Answer Is 60
Answer:
60
Step-by-step explanation:
4 8 12 16 20 24 28 32 36 40 44 48 52 56 60
5 10 15 20 25 30 35 40 45 50 55 60
3 6 9 12 15 18 21 24 27 30 33 36 39 42 45 48 51 54 57 60
8
Find the slope of the line that passes through the points (10,8) and (6, 14).
Write your answer as a simplified fraction.
There is an installation fee to join the Pine River country club as well as monthly dues the total cost of her seven month membership will be $3200 and after one and a half years $3970 find both the intuition feet and the monthly dues
Answer:
Monthly charges = $70
Intuition charges = $2710
Step-by-step explanation:
There is intuition fee and per month fee for joining the Pine River country club.
Total cost for 7 months is $3200
Total cost for one and a half years is $3970
one and a half years means 18 months.
To find:
Intuition fee and monthly dues?
Solution:
Let the intuition fee = [tex]i[/tex]
Let the monthly dues = [tex]m[/tex]
Total cost for 7 months can be represented as
[tex]i+7m = 3200[/tex] ..... (1)
Total cost for 18 months can be represented as
[tex]i+18m = 3970 .... (2)[/tex]
Here, we have 2 equations and 2 variables whose values are to be found.
Let us use elimination method to solve the equations.
Subtracting equation (1) from (2):
[tex]11m = 770\\\Rightarrow m = 70[/tex]
Therefore, the monthly dues are $70.
Using equation (1), we can find the value of [tex]i[/tex].
[tex]i + 70\times 7 = 3200\\\Rightarrow i = 3200 - 490\\\Rightarrow i = \$2710[/tex]
Therefore, intuition charges are $2710.
What is the wavelength measurement?
A. 2 m
B. 2 s
C. 0.4 m
D. 0.8 m
The wavelength measurement of the figure is,
⇒ 2 meter
What is mean by Subtraction?Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
We have to given that;
The figure is shown in image.
Since, We know that;
Wavelength is the distance between identical points in the adjacent cycles of a waveform signal propagated in space or along a wire.
Hence, We get;
The wavelength measurement of the figure is,
⇒ 3.5 - 0.5 meter
⇒ 2 meter
Thus, The wavelength measurement of the figure is,
⇒ 2 meter
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A survey asks a random sample of 1500 adults in Ohio if they support an increase in the state sales tax from 5% to 6%, with the additional revenue going to education. Let ^ p denote the proportion in the sample who say they support the increase. Suppose that 13% of all adults in Ohio support the increase. The standard deviation of the sampling distribution is
Answer:
The standard deviation of the sampling distribution is [tex]\sigma =0.0087[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 1500
The population proportion is [tex]p = 0.013[/tex]
Generally the standard deviation of this sampling distribution is mathematically represented as
[tex]\sigma = \sqrt{ \frac{p (1- p)}{ n} }[/tex]
=> [tex]\sigma = \sqrt{\frac{0.13(1-0.13)}{1500} }[/tex]
=> [tex]\sigma =0.0087[/tex]
The standard deviation of the considered sampling distribution of the proportion supporting the increase is 0.0027 approx.
How to find the sample standard deviation for distribution of a sample proportion?Suppose the sample proportion be denoted by [tex]\hat{p}[/tex], then, its distribution is normally distributed with mean [tex]p[/tex] and the standard deviation of distribution of [tex]\hat{p}[/tex] is given by
[tex]\sigma = \sqrt{\dfrac{p(1-p)}{n}}[/tex]
where n is the sample size. It is true until [tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex]
For the given case, we're given that:
Sample size= n = 10Proportion average value = p = 13% = 0.13 Standard deviation = [tex]\sigma = \sqrt{\dfrac{0.13(1-0.13)}{1500}} = \sqrt{\dfrac{0.13 \times 0.87}{1500}} \approx 0.0027[/tex]Thus, standard deviation of the sampling distribution is approximately 0.0027
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PLEASE HELP :) 20 POINTS FOR IT IF U JUST ANSWER LIKE IDK OR SUM IMMA REPORT
Answer:
BC = [tex] 1.8 [/tex]
Step-by-step explanation:
∆ABC is an equilateral ∆ because all three angles are equal. Therefore, all its sides would be equal also. This means AB = BC = AC
Thus, let's find the value of x.
[tex] \frac{7}{4}x - 1 = \frac{9}{3}x - 3 [/tex]
Collect like terms
[tex] \frac{7}{4}x - \frac{9}{3}x = 1 - 3 [/tex]
[tex] \frac{7x}{4} - 3x = -2 [/tex]
[tex] \frac{7x - 12x}{4} = -2 [/tex]
[tex] \frac{-5x}{4} = -2 [/tex]
Multiply both sides by 4
[tex] \frac{-5x}{4}*4 = -2*4 [/tex]
[tex] -5x = -8 [/tex]
Divide both sides by -5
[tex] x = \frac{8}{5} [/tex]
AB = BC = AC
Therefore,
BC = [tex] \frac{7}{4}x - 1 [/tex]
Plug in the value of x
BC = [tex] \frac{7}{4}*\frac{8}{5} - 1 [/tex]
BC = [tex] \frac{56}{20} - 1 [/tex]
BC = [tex] 2.8 - 1 [/tex]
BC = [tex] 1.8 [/tex]
Please answer this as quick as you can
Answer:
B is correct because there cannot be negative people in a cafeteria.
Step-by-step explanation:
what is the awnser to y=-1
Answer:
Slope: 0
y-intercept: (0,-1)
Step-by-step explanation:
What is the answer to Y=30x+25
Answer:
x=1/30y + -5/6
Step-by-step explanation:
Which table does not represent a function
Answer:
B.
Step-by-step explanation:
B. table B has 2 y values for one x, and that makes it not a function but a relation / equation.
Don’t worry about number 4 just tell me the answer to number two
Answer:
B
Step-by-step explanation:
First, you must combine like terms.
5a - a - a would be 3a.
-6 + 4 would be -2.
3a-2
Answer:
The answer would be B. -a+4+5a-a-6.
You would need to put like terms together. 4 and -6 is -2. -a, 5a, and -a is 3a.
Isabella is making a bracelet for her friend. She has to decide which type of band to use, either leather or Siver. She also plans on picking two charms for the
bracelet. One of the charms will be of an animal, either a cat or a dog. The other charm will be of a sport, either basketbal, baseball, or soccer. How many
different bracelet combinations does Isabella have to choose from?
O 3
07
O 8
O 12
Answer:
There are 12 combinations.
Step-by-step explanation:
Options:
1. Silver or Leather
2. Cat or Dog
3. Basketball, baseball, or soccer
Now we need to multiply the options together, so 2 × 2 × 3 = 12.
True or False
The farther the 2-statistic is from 0, the more the null hypothesis is discredited.
Answer:
it is true
Step-by-step explanation:
A test statistic compares our observed outcome to the alternative hypothesis. If the null hypothesis is true, then the teststatistic will be close to 0. Therefore, the farther the test statistic is from 0, the more the null hypothesis is discredited.
Christian earns $12 per hour working at the coffee shop. if he works for 8 hours on Saturday, how much money will he earn
Answer:
$96
Step-by-step explanation:
$12 per hour / 8 hours
$12 x 8 $96
ayee someone help pleasee
Answer:
Both are solutions of x.
Step-by-step explanation:
[tex]x^{2} =49[/tex]
For [tex]x^{2} =f(a)[/tex] the solutions are [tex]x=\sqrt{f(a)} ,-\sqrt{f(a)}[/tex]
[tex]x=\sqrt{49} ,x=-\sqrt{49}[/tex]
[tex]\sqrt{49}[/tex]
Factor the number: [tex]49=7^{2}[/tex]
Apply radical rule: [tex]\sqrt[n]{x^n} =a[/tex]
[tex]\sqrt{7^2} =7[/tex]
=7
[tex]-\sqrt{49}[/tex]
Factor the number: [tex]49=-7^2[/tex]
Apply radical rule: [tex]\sqrt[n]{x^n} =a[/tex]
[tex]-\sqrt{7^2}=7[/tex]
[tex]=-7[/tex]
Mai earns $7 per hour mowing her neighbors' lawns. She also earned
$14 for hauling away bags of recyclables for some neighbors. Priya
babysits her neighbor's children. She earns $8.40 per hour. Priya and
Mai have agreed to go to the movies the weekend after they have
earned the same amount of money for the same number of hours. How
many hours do they have to work before they can go to the movies?
How much will they have earned?
Answer:
10 hours, $84
Step-by-step explanation:
System of equations is:
7x+14=y
8.4x=y
Substitute to get:
7x+14=8.4x
subtract 7x from both sides
14=1.4x
x=10
So they will have to have worked for 10 hours
8.4*10=y
84=y
So they will have earned 84 dollars each
x=10 y=84
1. What value of x makes the equation 3x - 6 = 9 true?
Answer:
5
Step-by-step explanation:
this is basic algebra so it's important to understand this concept now. you need to combine like terms so 3x-6=9 becomes 3x=15 (you add the 6 to add like terms). You then divide the 3 from 3x on both sides to get x=5
The value of x makes the equation 3x - 6 = 9 true is: x = 5.
Here, we have,
given that,
the equation is: 3x - 6 = 9
so have,
3x-6=9
We need to combine like terms
=> 3x = 9 + 6
(we add the 6 to add like terms).
becomes, => 3x=15
we then divide the 3 from on both sides
=> 3x/3 = 15/3
we get
=> x=5
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