Answer:choice b
Step-by-step explanation:
3n + 8 = 53
I don’t understand how to find the n
Answer:
n=15
Step-by-step explanation:
subtract 8 from both sides to get 3n=45
divide both sides by 3 to solve for n to get n=15
Answer:
n = 15
Step-by-step explanation:
3n + 8 = 53
the first step we are going to do is combine the like terms by moving the constant (8) to the right and subtracting
3n = 45
next step, we are going to isolate the n by dividing by 3 on both sides of the equation
3n divided by 3 is just n and 45 divided by 3 is 15, so we have our answer
Given the triangle information below solve for the x value and the measure in degrees of angle a
Sketch the graph of each linear inequality
Two forces, with magnitudes of 115 pounds and 160 pounds, are acting on an object at angles of 50° and 130°, respectively, with the positive x-axis. Find the magnitude and direction (with the positive .r-axis) of the resultant force.
Answer:
Step-by-step explanation:
x=(115cos50+160cos130)=-28.9254
y=(115sin50+160sin130)=210.6622
m^2=x^2+y^2
m=212.64
angle=180+arctan(y/x)
angle=97.82
v=212.64 at 97.82 degrees
Tony made a scale drawing of his living room. The scale drawing has a length of 5 inches and a width of 3 inches. If the living room has an actual length of 12 feet, which equation could be used to determine w, the width of the living room?
Answer:5w=36
Step-by-step explanation:
Anyone know how to do this?!!
Answer:
slope is -1/4
Step-by-step explanation:
[tex]\frac{-4}{12}[/tex]=[tex]\frac{-1}{4}[/tex]
[tex]\frac{-2}{8}[/tex]= [tex]\frac{-1}{4}[/tex]
and so on...
formula: [tex]\frac{x}{y}[/tex]
hope this helps!!!
How many terms of the AP -10,-7,-4,-1,.............must be added to get the sum -104?
pls do this fasttttttstttt
Answer:
The value of n is complex
Step-by-step explanation:
The sequence is an arithmetic sequence
Given
First term a = -10
common diff d = -7-(-10) = -4-(-7) = 3
Sn = -104
get the number of terms n using the formula
Sn = n/2[2a+(n-1)d]
-104 = n/2[2(-10)+(n-1)(3)]
-104 = n/2[-20+3n-3]
-208 = n{3n-23}
-208 = 3n²-23n
3n²-23n+208 = 0
Factorize
n = 23±√23²+4(3)(208)/2(3)
n = 23±√529-2496/6
Since the value of n is a complex number, hence the value of n does not exist
x^{2}-3x-40=0x
2
−3x−40=0
Answer:
what the
Step-by-step explanation:
what is that weird
can u help me please
Answer:
xy=1.5
-7x=1.75
x+2y=-12.25
(1/3)y=-2
Step-by-step explanation:
Dom runs a pizza business. Last year he took in $88 000 and it cost him $33 000
to run. What is his percentage profit for the year? Round to the nearest cent.
Answer:
The percentage profit for the year is 62.50%
Step-by-step explanation:
Here, we want to calculate the percentage profit
That would be difference between the revenue (88,000) and the cost (33,000) divided by the revenue * 100%
We have this as;
(88,000-33,000)/88,000 * 100%
= 55,000/88,000 * 100%
= 62.50%
3 pencils cost $0.45. What is the cost per pencil?
Answer:
0.15
Step-by-step explanation:
The solution (x y) to a system of equatiohs is the point where they..?
Answer:
Intersect
Step-by-step explanation:
Water is pumped out of a 500-gallon tank at a rate of 2.5 gallons per second. The inequality 500−2.5t<100 can be used to determine the time t in seconds, after which there will be less than 100 gallons of water remaining in the tank.
Answer:
[tex]160\ \text{s}[/tex]
Step-by-step explanation:
The inequality that represents the situation is
[tex]500-2.5t<100[/tex] where [tex]t[/tex] is the time in seconds
[tex]\Rightarrow -2.5t<100-500[/tex]
[tex]\Rightarrow -2.5t<-400[/tex]
[tex]\Rightarrow 2.5t>400[/tex]
[tex]\Rightarrow t>\dfrac{400}{2.5}[/tex]
[tex]\Rightarrow t>160\ \text{s}[/tex]
So, the time after which there will be less than 100 gallons of water is [tex]160\ \text{s}[/tex].
E.C. What is the standard equation of a circle with center (h,k) and radius r in the coordinate plane?
Answer:
(x-h)^2 + (y-k)^2 = r^2
Step-by-step explanation:
Here, we want to write the standard equation of the circle
We have this as;
(x-h)^2 + (y-k)^2 = r^2
The above equation is the standard equation for the circle
Answer:
(x − 4)2 + (y + 6)2 = 25
(x − 4)2 + (y − (-6))2 = 52
When I compare my equation with the standard form, (x − h)2 + (y − k)2 = r2, I get h = 4, k = -6, and r = 5. The center is at (4, -6), and the length of the radius is 5.
Step-by-step explanation:
edmentum
-8/5 X= 56
solve
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Answer:
x = -35
Step-by-step explanation:
-8/5x = 56
Start by multiplying both sides by 5 to get rid of the fraction. That will leave you with:
-8x = 280
You can then divide both sides by -8 and then you'll get x = -35
Answer:
x=-35
Step-by-step explanation:
-8/5x is gonna be -1.6x and you divide 56 by -1.6x and get x=-35
What is the area of a triangle with a base of 24 inches and a height of 8 inches? Remember the formula to find the area of a triangle is 1/2bh (1/2 x b x h). Also, remember how to label your answer!
Answer:
96inches
Step-by-step explanation:
24*8=192
192/2=96
LAST QUESTION!!! ANSWER THIS QUESTION PLZZZZ
Answer:
A. 80 yardsStep-by-step explanation:
Corresponding sides have same ratio in similar figures:
75/50 = 120/x x = 120*50/75x = 80Correct option is A
If 13% is lost by selling goods for Rs 1475, what would be the loss or gain if the goods are sold for Rs 1615?
Given:
Loss percent is 13%.
Selling price = 1475
To find:
The loss or gain if the goods are sold for Rs.1615?
Solution:
Let x be the cost price of goods.
Loss percent is 13% and selling price is 1475.
[tex]1475=x-\dfrac{13}{100}x[/tex]
[tex]1475=x-0.13x[/tex]
[tex]1475=0.87x[/tex]
[tex]\dfrac{1475}{0.87}=x[/tex]
[tex]1695.4023=x[/tex]
[tex]x\approx 1695.40[/tex]
The cost price of goods is 1695.40.
We need to find the loss or gain if the goods are sold for Rs.1615.
Cost price is greater than the selling price because 1695.40 > 1615. It means , it is a loss.
[tex]Loss=CP-SP[/tex]
[tex]Loss=1695.40-1615[/tex]
[tex]Loss=80.40[/tex]
The loss percent is
[tex]Loss\%=\dfrac{Loss}{C.P}\times 100[/tex]
[tex]Loss\%=\dfrac{80.40}{1695.40}\times 100[/tex]
[tex]Loss\%\approx 4.74\%[/tex]
Therefore, the loss is 80.40 and the loss percent is about 4.74%.
A regular heptagon has sides measuring 26 mm and is divided into 7 congruent triangles. Each triangle has a height of 27 mm. What is the area of the heptagon?
Answer:
567 square mm
because 27*7 is 189 an times 3 because each side has 3 sides so it equals to 567 square mm! :)
Step-by-step explanation:
BRAINLIEST THAT BOOM!!!!!!!!!
Amanda must read a 259−page book for her history class over the next week. Amanda has found that she can read 37 pages in a hour. Complete the table, select the appropriate graph, and enter an equation to represent the number of pages that Amanda has left to read with relation to time. Use variable x for hours.
Answer:
I dont have an answer but here is a example I hope it helps
Step-by-step explanation: Josie selected a number n. She divided n by 2 and then subtracted ½ from the result. She took
half of that result and then subtracted ½ to get the final result of 10. What is the value of n?
Let’s start by writing Josie’s first step as an expression. Dividing n by 2, then subtracting ½ from
the result would be (n/2) – ½. If we build on this expression with the information in Josie’s
second step, we get ½((n/2) – ½) – ½. Knowing the final result is 10, we can set up the equation
below, and solve for n as follows:
½((n/2) – ½) – ½ = 10
½(n/2) – ¼ - ½ = 10 (using the distributive property)
¼n – ¼ - ½ = 10 (multiplying to eliminate the parentheses)
¼n – ¾ = 10 (combining like terms)
¼n = 10¾ (adding ¾ to both sides of the equation)
n = 43 (dividing both sides of the equation by ¼)
A book cost $10 at one book store.About how much more does the book cost when the book store increase it prices 18%.
Answer:
11.8
Step-by-step explanation:
18% of 10 so more the decimal only one time because you only have one 0 and you get 1.8. ok then 1.8 to 10 =11.8
The book cost $11.8 when the book store increases its prices by 18%.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, A book cost $10 at one book store which is 100% of its price.
Now, The book store increases its prices by 18%.
Therefore, The new price of the book is (100 + 18) = 118% of $10 which is,
= (118/100)×10.
= 1.18×10.
= $11.8
learn more about percentages here :
https://brainly.com/question/24159063
#SPJ2
Mr. Starnes wondered what proportion of Katy Perry's Twitter followers are
female, so he selected a random sample of 500 of Katy Perry's followers. In the
sample, 308 are female. Construct and interpret a 90% confidence interval for the
true proportion of Katy Perry followers that are female.
Answer and Step-by-step explanation:
To calculate a confidence interval for a proportion:
1) Determine the proportion
[tex]p=\frac{308}{500}[/tex]
p = 0.616
2) A 90% confidence interval has z-score that is 1.645.
3) Calculate margin of error
[tex]ME=\sqrt{\frac{p(1-p)}{n} }[/tex]
where
n is the sample size
So
[tex]ME=\sqrt{\frac{0.616(1-0.616)}{500} }[/tex]
[tex]ME=\sqrt{\frac{0.616(0.384)}{500} }[/tex]
ME = 0.02175
Then the interval is given by
p ± z(ME)
0.62 ± 1.645(0.02175)
0.62 ± 0.035
The interval will be
0.585 < p < 0.655
What this means is that we are 90% confident that the true proportion of Katy Perry's Twitter female followers is between 0.585 and 0.655.
a company has 15.5×108
Answer:
1674
Step-by-step explanation:
Answer:
1674
Step-by-step explanation:
Which answer represents the expression in its expanded form?
James is building a doll house that is proportional to his own house. He is using a scale of 0.5 inch = 1 foot. If the doll house is 12.3 inches tall, how tall is his house?
whats is the cost of electricity to run personal computer
Answer: Desktop computers can cost anywhere from $300-$4,000 depending on how good it's inside components are. The average computer might go for around $400. For more advanced computers the price might be $1,000 or more. All in all, the cost of a computer / PC truly depends on how much power you're needing from it.
Step-by-step explanation:
Srry its kinda confusing but I hope it helped
Answer:
We estimate that an average modern desktop PC will use approximately 100 watts of power, not including the display screen. Click calculate to find the energy consumption of a desktop computer using 100 Watts for 6 hours a day with $0.10 per kWh
Step-by-step explanation:
Annual snowfall in Anchorage, Alaska, is normally distributed with a mean height of 76 inches and a standard deviation of 4.7 inches. What is the probability this year that it will snow between 71.4 and 80.7 inches in Anchorage?
Using the Empirical Rule, it is found that there is a 68% probability this year that it will snow between 71.4 and 80.7 inches in Anchorage.
What is the Empirical Rule?It states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.In this problem, the mean height of 76 inches and a standard deviation of 4.7 inches, hence 71.4 and 80.7 inches is within 1 standard deviation of the mean, that is, there is a 68% probability this year that it will snow between 71.4 and 80.7 inches in Anchorage.
To learn more about the Empirical Rule, you can take a look at https://brainly.com/question/24537145
If , then what is mto the nearest degree?
Answer:
70 degrees
Step-by-step explanation:
If cosm<A = 342/1000, we are to find the value of a
Take arccos of both sides
cosm<A = 342/1000
cosm<A = .342
arccos(cosm<A) = arccos(0.342)
m<A = arccos(0.342)
m<A = 70 degrees
Hence the measure of m<A is 70 degrees
PLS HELP!! GIVING BRAINLIST!!
Michael uses a blend of dark chocolate and milk chocolate to make the ice cream topping at his restaurant. He needs to buy 100 kg of chocolate in total for his next order. Dark chocolate costs $12 per kilogram, milk chocolate costs $10 per kilogram, and he wants to spend $1120 total.
Let d be the number of kilograms of dark chocolate he buys and m be the number of kilograms of milk chocolate he buys.
Which system of equations represents this situation?
Answer:
d + m = 100
12d + 10m = 1120
Step-by-step explanation:
d = 60
m = 40
Answer: 60 kg dark chocolate, 40 kg milk chocolate
Step-by-step explanation:
Okie soooo
Let's name the variables (which they did for us lol)
d = kg of dark chocolate and m = kg of milk chocolate
He needs 100 kg of chocolate
d + m = 100
and he wants to spend 1120 when dark chocolate costs $12/kg and milk chocolate costs $10/kg
12d + 10m = 1120
Now we solve the system (I shall use elimination method)
Multiply the first equation my -10
-10(d + m) = (100)(-10)
which becomes
-10d - 10m = -1000
12d + 10m = 1120 (rewrite the second equation)
------------------------- (add the two equations together)
2d = 120
d = 60
now substitute d into either equation
60 + m = 100
m = 40
60 kg dark chocolate
40 kg milk chocolate
PLEASE HELP ME I BEGGGGGGG
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
I believe it is A because according to the theorem it states the other pair of opposite sides are parallel.
"Here's the game plan. Assume that ¯BC ¯AD and ¯BC ~= ¯AD. By definition, a parallelogram is a quadrilateral with both pairs of opposite sides parallel. You already know that one pair of opposite sides is parallel. You need to show that the other pair of opposite sides is parallel. In other words, you need to show that ¯AB ¯CD."