What is the second step in solving the following equation?
-3x + 5 = 20
Subtract 5 from both sides
O Divide both sides by-3
o add 3x to both sides
O Divide both sides by 3
At what rate does a payment plan for $1,500 accumulate $450 interest after 6 years?
Answer:
At a rate of 5%.
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.
In this question:
Payment plan for $1500 means that [tex]P = 1500[/tex]
$450 interest after 6 years means that [tex]E = 450, t = 6[/tex]
We have to find the rate I. So
[tex]E = P*I*t[/tex]
[tex]450 = 1500*I*6[/tex]
[tex]I = \frac{450}{1500*6}[/tex]
[tex]I = 0.05[/tex]
At a rate of 5%.
10) Julio rented a bike from Bill's Bikes. It
cost $20 plus $6 per hour. If Julio paid
$50, then he rented the bike for how many
hours?
plzz help me with this question
Answer:
x = 5
Step-by-step explanation:
We need to find the value of x in this case.
For this, we need to consider that the triangles are similar. Now, we can find it as follows :
[tex]\dfrac{12}{3}=\dfrac{20}{x}\\\\x=\dfrac{20\times 3}{12}\\\\x=5[/tex]
So, the value of x is equal to 5.
4/5 of 130=
7/8 of 112=
10/12 of 156=
Answer:130/4 ×5 112÷8 ×7 and 156÷12 ×10
Step-by-step explanation:can't work them out right now don't have a calculator on me but that's the basic
PLZ HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
208x + 90 = 298x
Answer:
x=1
Step-by-step explanation:
hope this helps
Answer:
x=1
Step-by-step explanation:
208x+90=298x
Subtract from both sides 298x.
208x+90−298x=298x−298x
−90x+90=0
Step 2: Subtract from both sides 90.
−90x+90−90=0−90
−90x=−90
Step 3: Divide both sides by -90.
−90x
−90
=
−90
−90
x=1
Can you help me on question 12?!
Answer:
A) 8/27
Step-by-step explanation:
(2/3)³ = 8/27
0.0001859 in scientific notation
Answer:
1.859 x 10^-4
Step-by-step explanation:
To the -4 power means to move the decimal place to the right 4 spaces.
How many days are there in 6 weeks? Solve the related word problem to represent the inverse operation There are days in 6 weeks How many weeks are equal to 42 days? Since 42 =27= 42 days is equal to weeks 2
pls help me
Answer:
there a 42 days in 6 weeks
Step-by-step explanation:
multiply 6 x 7= 42
Please help! *WILL MARK BRAINIEST*
Answer:
27/40
Step-by-step explanation:
Simple math, can I have Brainliest??
Answer:
27/40
Step-by-step explanation:
[tex]-2\frac{1}{4} / -3\frac{1}{3} \\\frac{-9}4}/ \frac{-10}{3} \\\frac{-9}{4}*\frac{-3}{10}\\\frac{27}{40}[/tex]
Help pls I don’t understand this my teacher didn’t teach this
Answer:
x = 60
Step-by-step explanation:
The tip of the triangle's angle is 100 (b/c 180-80)
x + 100 + 20 = 180
x + 120 = 180
x = 60
Answer:
Step-by-step explanation:
X=60
1,345×311 is odd number or even number
Answer:
It's odd cuz it ends with 5
Step-by-step explanation:
418295
If $5,000 is invested at 4% simple intrest for 30 years. what will be the total intrest earned in the 30 years?
Answer:$1.20
Step-by-step explanation: Find 4% of 30
I am using a calculator, but you can get the same result if you multiply .04 and 30
You should get 1.2 or $1.20
A dog washer charges an extra fee to wash dogs that are larger than 55 pounds.
Q: Which inequality shows the weight, in pounds, that a dog can be, d, without having to pay the extra fee?
a. d ≥ 55
b. d < 55
c. d > 55
d. d ≤ 55
Please help me with this question:)!
Answer:
i think so option b is the correct option.
Step-by-step explanation:
because 3+7=10 not 11.
i need help on this it’s asking which of the following is the equation of the linear function (f)x shown graphed below
Answer:
D
Step-by-step explanation:
The distance between city a and city b is 200 miles. A length of 1.7 feet represents this distance on a certain wall map. City c and city d are 2.55 feet apart on this map. What is the actual distance between city c and city d
Answer:
510
Step-by-step explanation:
200×2.55=510 this is the answer
A large cable company reports the following:
80% of its customers subscribe to its cable TV service.
44% of its customers subscribe to its Internet service.
29% of its customers subscribe to its telephone service.
25% of its customers subscribe to both its cable TV and Internet service.
20% of its customers subscribe to both its cable TV and phone service.
23% of its customers subscribe to both its Internet and phone service.
15% of its customers subscribe to all three services.
Consider the chance experiment that consists of selecting one of the cable company customers at random. Calculate the following probabilities.
A) P(cable TV only).
B) P(Internet | cable TV).
C) P(exactly services).
D) P(Internet and cable TV only).
Answer:
[tex]P(Cable\ TV\ only) = 50\%[/tex]
[tex]P(Internet\ |\ cable\ TV) = 31.25\%[/tex]
[tex]P(exactly\ 2\ services) = 23\%[/tex]
[tex]P(Internet\ and\ cable\ TV \only) = 23\%[/tex]
Step-by-step explanation:
Given
[tex]Cable\ TV = 80\%[/tex]
[tex]Internet = 44\%[/tex]
[tex]Telephone = 29\%[/tex]
[tex]Cable\ TV\ and\ Internet = 25\%[/tex]
[tex]Cable\ TV\ and\ Telephone = 20\%[/tex]
[tex]Internet\ and\ Telephone = 23\%[/tex]
[tex]All\ Services = 15\%[/tex]
Solving (a): A) P(cable TV only).
First, we calculate n(cable TV only)
This is calculated as:
[tex]n(cable\ TV\ only) = (Cable\ TV) - (Cable\ TV\ and\ Internet) - (Cable\ TV\ and\ Telephone) + (All\ Services)[/tex]
[tex]n(cable\ TV\ only) = 80\% - 25\% - 20\% + 15\%[/tex]
[tex]n(cable\ TV\ only) = 50\%[/tex]
The probability is:
[tex]P(Cable\ TV\ only) = \frac{n(Cable\ TV\ only)}{100\%}[/tex]
[tex]P(Cable\ TV\ only) = \frac{50\%}{100\%}[/tex]
[tex]P(Cable\ TV\ only) = 50\%[/tex]
Solving (b): P(Internet | cable TV).
This is calculated as:
[tex]P(Internet\ |\ cable\ TV) = \frac{Cable\ TV\ and\ Internet}{Cable\ TV}[/tex]
[tex]P(Internet\ |\ cable\ TV) = \frac{25\%}{80\%}[/tex]
[tex]P(Internet\ |\ cable\ TV) = \frac{25}{80}[/tex]
[tex]P(Internet\ |\ cable\ TV) = 31.25\%[/tex]
Solving (c): P(exactly 2 services).
This is calculated as:
[tex]P(exactly\ 2\ services) = (Cable\ TV\ and\ Internet - All) + (Cable\ TV\ and\ Telephone - All) + (Internet\ and\ Telephone - All)[/tex]
[tex]P(exactly\ 2\ services) = (25\% - 15\%) + (20\% - 15\%) + (23\%-15\%)[/tex]
[tex]P(exactly\ 2\ services) = (10\%) + (5\%) + (8\%)[/tex]
[tex]P(exactly\ 2\ services) = 23\%[/tex]
Solving (d): P(Internet and cable TV only).
This is calculated as:
[tex]P(Internet\ and\ cable\ TV \only) = \frac{(Internet\ and\ cable\ TV \only)}{100\%}[/tex]
[tex]P(Internet\ and\ cable\ TV \only) = \frac{23\%}{100\%}[/tex]
[tex]P(Internet\ and\ cable\ TV \only) = \frac{23\%}{1}[/tex]
[tex]P(Internet\ and\ cable\ TV \only) = 23\%[/tex]
What is the intermediate step in the form (x+a)^2=b as a result of completing the square for the following equation? Please help
Answer:
[tex] {( \bold {\purple{ \boxed{ x + 7}}})}^{2} = \: \bold {\purple{ \boxed{ 9}}}[/tex]
Step-by-step explanation:
[tex] - 2 {x}^{2} - 28x = 80 \\ \\ - 2( {x}^{2} + 14x) = 80 \\ \\ {x}^{2} + 14x = - 40 \\ \\ {x}^{2} + 2.x. \bold{ \red{7 }}+ 49 = - 40 + 49 \\ (add \: square \: of \: 7 \: both \: sides)\\ \\ {x}^{2} + 14x + {7}^{2} = 9 \\ \\ {( \bold {\purple{ \boxed{ x + 7}}})}^{2} = \: \bold {\purple{ \boxed{ 9}}}[/tex]
In ΔBCD, the measure of ∠D=90°, the measure of ∠C=83°, and DB= 1.3feet. What is the length of CD to the nearest tenth of a foot.
Answer:
[tex]CD\approx0.2[/tex]
Step-by-step explanation:
By the tangent ratio, [tex]tanC=\frac{DB}{CD}[/tex]. Substituting the given values into this equation gives us:
[tex]tan83[/tex]° [tex]= \frac{1.3}{CD}[/tex]
[tex]CD*tan83[/tex]° [tex]=1.3[/tex] (Multiply both sides of the equation by [tex]CD[/tex])
[tex]CD=\frac{1.3}{tan83\textdegree}[/tex] (Divide both sides of the equation by [tex]tan83\textdegree[/tex])
[tex]CD=0.15962\approx0.2[/tex]
Hope this helps!
please help me i really need help please
Analyzing O! Pioneers
Willa Cather’s 1910 novel, O! Pioneers, follows a Swedish family of farmers in Nebraska.
In this passage, John Bergson is dying and worries about what will become of his wife and
young children. Alexandra is the oldest Bergson child
Alexandra, her father often said to himself, was like her grandfather; which was his
way of saying that she was intelligent. John Bergson’s father had been a shipbuilder, a
man of considerable force and of some fortune. Late in life he married a second time, a
Stockholm woman of questionable character, much younger than he, who goaded him into
every sort of extravagance. On the shipbuilder’s part, this marriage was an infatuation,
the despairing folly of a powerful man who cannot bear to grow old. In a few years his
unprincipled wife warped the probity of a lifetime. He speculated, lost his own fortune
and funds entrusted to him by poor seafaring men, and died disgraced, leaving his
children nothing. But when all was said, he had come up from the sea himself, had built
up a proud little business with no capital but his own skill and foresight, and had proved
himself a man. In his daughter, John Bergson recognized the strength of will, and the
simple direct way of thinking things out, that had characterized his father in his better
days. He would much rather, of course, have seen this likeness in one of his sons, but it
was not a question of choice. As he lay there day after day he had to accept the situation
as it was, and to be thankful that there was one among his children to whom he could
entrust the future of his family and the possibilities of his hard-won land.
Discuss the Meaning
Alexandra shares personal qualities with her grandfather. What are these qualities and
how will they help the Bergson family survive after her father dies? Cite text examples to
support your ideas.
Which number makes the equation true?
Answer:
6 is the answer
btw
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Answer: 1/6
Step-by-step explanation:
Someone pls help me
In 2004, Pen Hadow and Simon Murray walked 680 miles to
the South Pole. The trip took 58 days.
Answer:
The average number of daily miles traveled by these individuals was 11.72 miles per day.
Step-by-step explanation:
Given that in 2004, Pen Hadow and Simon Murray walked 680 miles to the South Pole, and the trip took 58 days, to determine the average number of miles traveled per day by these individuals the following mathematical calculation must be performed:
680/58 = X
11.72 = X
Thus, the average number of daily miles traveled by these individuals was 11.72 miles per day.
the geometric mean...
Answer:
Relating to geometry, or according to its methods.
Step-by-step explanation:
Identifying a binomial experiment In a study conducted by the sponsoring organization of an academic conference, attendees were classified during registration into one of three categories according to their field of interest: General, Applied, or Theoretical. Of the 400 people in attendance, 200 were classified as General, 60 were classified as Applied, and 140 were classified as Theoretical. You randomly select three registration cards (with replacement) of attendees of the conference and record their fields of interest.
This experiment _________ binomial experiment.
When you select a registration card, the probabilities associated with each outcome are:
Outcome Probability
General 0.35
Applied 0.45
Theoretical 0.20
binomial random variable with mean E(X) = and Let X be the number of card selections with outcome "General." Then X is a standard deviation o =________
Answer:
1, this is a binomial experiment.
Step-by-step explanation:
this is a binomial experiment. Since it is general outcome, the probability of success is 0.50, that is 50 percent.
we have that X follows the binomial distribution
X ~ Binomial(n = 3, p = 0.50)
we have 3 outcomes( general, applied, theoretical).
mean = E(X)
= np
= 3(0.5)
= 1.5
standard deviation = σ = √np(1-p)
= √3(0.5)(1-0.5)
= √1.5(0.50)
= √0.75
= 0.8660
the mean = 1.5
the standard deviation = 0.8660
Convince yourself that there are 3 similar triangles in the diagram. Choose the
similarity statement that represents the relationship among the 3 triangles.
Answer:
Its the second choice
Step-by-step explanation:
5. Is the number 0.6 with the line on top rational or irrational?
Answer:
It's a rational number/decimal
Step-by-step explanation:
Can somebody help me thanks !!!!
Hey there!
The answer is x = 8
The diagonals in a rectangle are always equal, therefore we can set the expressions equal to each other:
8x - 15 = 49
Add 15 to both sides:
8x = 64
Divide 8 on both sides:
x = 8
Have a super awesome day! :)
Why did the troll give us the clues
We had no money in our pockets
He was nice
So we can get confused
Answer:
lol
Step-by-step explanation:
im laughing in class