The solution to the given equation is x = [tex]305\frac{11}{45}[/tex].
The given equation is 45(x-310)=-214.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
By using distributive property, we get
45x-13950= -214
45x=-214+13950
45x=13736
x=13736/45
x=[tex]305\frac{11}{45}[/tex]
Therefore, the solution to the given equation is x = [tex]305\frac{11}{45}[/tex].
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ6
write the phrase as a expression.
3 fewer than 8
Your answer should be 3 < 8
Find the value of each variable.
X=?
Answer:
x=3
Step-by-step explanation:
The equation is x² + 5x = 24, so 3² +15 would be the perfect match. This is because 9+15=24.
You have a coupon for 25% off the price of a mystery book that sells for $7.00. You also have one for 20% off the price of a science fiction book that sells for $6.25. You have $5.00. Which book can you afford to buy? Explain.
Answer: you can afford to buy both
as $1.75+$1.25 adds up to $3 leaving you $2 to spare.
Step-by-step explanation-
Mystery book: 25% of 7.00= 1.75 ($1.75)
Science Fiction: 20% of 6.25=1.25 ($1.25)
Answer:
You can afford the science fiction book.
Step-by-step explanation:
How to get the amount for the 25% coupon:
$7.00 × 0.25 = $1.75
To get the price of the mystery book using the coupon:
$7.00 - $1.75 = $5.25
The mystery book will cost $5.25.
How to get the price of the 20% coupon:
$6.25 × 0.20 = $1.25
To get the price of the science fiction book using the coupon:
$6.25 - 1.25 = $5.00
The science fiction book will cost $5.00.
You can afford to buy the science fiction book because you have $5.00 and that is the price of the book. The mystery book costs $5.25 and you only have $5, which means that you don't have enough money to buy it.
Suppose that Juan can choose to get home from work by car or bus.
When he chooses to get home by car, he arrives home after 7 p.m. 14 percent of the time.
When he chooses to get home by bus, he arrives home after 7 p.m. 62 percent of the time.
Because the bus is cheaper, he uses the bus 83 percent of the time.
What is the approximate probability that Juan chose to get home from work by bus, given that he arrived home after 7 p.m.?
Using conditional probability, it is found that there is a 0.9556 = 95.56% probability that Juan chose to get home from work by bus, given that he arrived home after 7 p.m.
Conditional Probability
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.In this problem:
Event A: Arrived home after 7 p.m.Event B: Got home by bus.The percentages associated with arriving home after 7 p.m. are:
14% of 17%(by car).62% of 83%(by bus).Hence:
[tex]P(A) = 0.14(0.17) + 0.62(0.83) = 0.5384[/tex]
The probability of both arriving home after 7 p.m. and using bus is:
[tex]P(A \cap B) = 0.62(0.83)[/tex]
Hence, the conditional probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.62(0.83)}{0.5384} = 0.9556[/tex]
0.9556 = 95.56% probability that Juan chose to get home from work by bus, given that he arrived home after 7 p.m.
You can learn more about conditional probability at https://brainly.com/question/14398287
If 24 people fit in 12 RVs,
How many people are in each RV?
Answer:
2 people per RV.
Step-by-step explanation:
24 / 12 = 2
What is the quotient of 36 and -3
(WILL MAKE BRAINLIEST )
Which sign makes the sentence true?
3/2_- 3/2
<
>
use the GCF to factor 16+6
Answer:
2 x (8 + 3)
Step-by-step explanation:
b) 16 + 6 = 2 x (8 + 3)
=> 22 = 2(11)
=> 22 = 22
Therefore, 2 x (8 + 3) is your answer.
Choose the graph of the inequality's solution. -4x + 8 > 12
Answer:
[tex]x < - 1[/tex]
You should have a circle on -1 with the arrow going left
Step-by-step explanation:
Subtract 8 from both sides.
[tex] - 4x + 8 > 12 \\ - 8 \: \: \: \: - 8[/tex]
[tex] - 4x > 4[/tex]
Divide by -4
[tex] \frac{ - 4x}{ - 4} > \frac{4}{ - 4} [/tex]
Since you are dividing by a negative, you need to flip the inequality.
[tex]x < - 1[/tex]
A triangle has an area of 160 square inches and the base of the triangle is 40 inches. What is the height of the triangle?
Answer:
8 inches
Step-by-step explanation:
h = 2 A/b
A = 160
b = 40
160/40 = 4
2 x 4 = 8 inches
The height of the triangles is 8in.
hope this helps!! p.s. i really need brainliest :)
the equation of a function is y=25- 3x find the value of x when y=34
HELP!!!!What is 1/4 turned into a decimal I REALLY NEED HELP BEFORE MY TEACHER GIVES ME A BAD GRADE
Answer:
0.25
Step-by-step explanation:
Answer:
→1/4 as a decimal is 0.25
(I hope you get this answer correct, and also hope you have a great day or night! :)).
plz helpp what is b?
Answer:
41 degrees
Step-by-step explanation:
the two squares that make up the rhombus are both equilateral so we know that the measure of angle WUX is 56 degrees. subtract 15 from 56 and you get 41 degrees.
A plane flies from San Francisco to New York City at 600 miles per hour and returns along the same route at 400 miles per hour. What is the average flying speed for the entire route (in miles per hour)
Answer: 500 i think
Step-by-step explanation:
Last year the cost of a season ticket for a football club was £560.
This year the cost of a season ticket for the club has been increased to £600.
Write down the increase in the cost of a season ticket as a fraction of last year's cost.
Answer:
The cost increased by 1/14
Step-by-step explanation:
I need a step by step explanation
n - 31
--------- = 2
4
Answer:
39
Step-by-step explanation:
4 x 2 = 8
8+ 31 is 39
What percent is x of y?
Remember answer in percent(%)
Answer:
Step-by-step explanation:
If we do not have any numbers de can think that x and y are any number
y is 100%
x is ?%
? = 100x / y
The percent that is x of y is 100x/y
solve the inequality 4x-3=2x+7
Answer: x=-2
Step-by-step explanation:
Add three to both sides of the equation
4x-3=2x+7
4−3+3=2−7+3
simplify
4=2−4
4−2=2x-4−2
simplify
2=−4
Divide both sides of the equation by the same term
2=−4
2/2=−4/2
=−2
Answer: x = 5
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.x=5
Factories often add filler when making meatballs sold by the bag. One factory obtained 72 kg of beef from overseas. They want to add 1.2 oz of filler for each
pound of beef, How many ounces of filler will the factory need in order to make meatbälls out of this shipment of beef? Help
Answer:
158.732829
rounded up: 159
Step-by-step explanation:
trust the calculator
6. The police department of a major city has found that the average height of
their 1,250 officers is 71 inches, with a standard deviation of 2.3 inches. Using
the normal curve table, answer the following:
a. How many officers are at least 75 inches tall?
b. How many officers are between 65 and 72 inches tall?
c. If an officer is at the 35th percentile in terms of height, how tall is she or he?
d. Assuming an equal amount of service, the top 10% of the police officers in
terms of height also make higher salaries than their less favored fellow of-
ficers. How tall does an officer have to be to get a better salary?
e. What is the probability of encountering an officer who is 66 inches tall or
less?
f. What heights are so deviant that their probability of occurrence is .05 or
less?
Answer:
c
Step-by-step explanation:
Write the prime factorization of 315.
315 =
Write the prime factorization of 315.
315 =
Write the prime factorization of 315.
315 =
Write the prime factorization of 315.
315 =
3 exponent 2 × 5 exponent 1 × 7 exponent 1
If C = C(q) is a firm's total cost function, the quantity epsilon_{c} = q/C * (dC)/(dq) is called the elasticity of cost at the output q . Discuss the relationship between marginal cost and average cost for the intervals of being higher and lower than 1 (15 points). epsilon_{c}
Answer:
the answer is 5,746 = c
Step-by-step explanation:
The final amount of 893 decreased by 19% followed by a 17% decrease
Answer:
the answer is 600.36_____
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST
Answer: D (n> 8/ 3 )
What is the absolute value of - 2 2/3
Answer:
2 2/3
Step-by-step explanation:
absolute value means the distance between a number and 0 so therefore the absolute value s 2 2/3
For a Brainlist please help me out
+ give accurate explanation
Answer:
A:Tina's. B: Gabby's
Step-by-step explanation:
Luckly the two people are using the same unit to measure both time (in weeks) and height (in inches), so no conversion needed.
At this point, let's start dealing with the questions.
A. They bought the plants at week 0.
For Tina, we calculate [tex]f(0) = 0+1.5 = 1.5[/tex]
For Gabby, we scout the table till we find week 0 and check the corrisponing value: it's (0; 1) Since 1 is smaller than 0, at start Tina plant was taller.
B. The easiest way would be to stare at Gabby's table for a bit, and notice that each increase is 2 more than the previous, and the progression starts at 1. We can write it as an equation as [tex]g(x) = 2x+1[/tex]. If you confront with Tina's growth, you can tell that Gabby's plant grows twice as fast - the slope is double. Else, you can see that even just after one week, Tina's plant will be 2.5 in tall, while Gabby's outgrew hers already. That's possible only if the plant is growing faster.
If the original quantity is 15 and the new quantity is 19, estimate the percent change.
15 to 19 was about a 27% in increase
x-8/2=-14
solve for x
Answer:
-20
Step-by-step explanation:
-14 x 2 = -28
-28 + 8 = -20
There you go :D
Answer:
-10
Step-by-step explanation:
first Solve for the fraction
-8/2= -4
x-4= -14
next add the negative 4 to 14
x=-10
and there's you're answer!
April's unpaid balance is $200.15. Her APR is 15% and she has $80.50 in new transactions. What is her new balance?
Based on the information given the new balance is $283.15.
Using this formula
New balance=Principal+ [Principal ×(APR/12)]+New transaction
Where:
Principal=$200.15
APR=15%
New transaction=$80.50
Let plug in the formula
Let plug in the formula
New balance=$200.15+($200.15×(0.15/12)+$80.50
New balance=$200.15+$2.50+$80.50
New balance=$283.15
Inconclusion the new balance is $283.15.
Learn more here: https://brainly.com/question/3653824
HELP!!
Formula
Y=___x +___
Answer:
look at the slope rise of 2 run of -1 or other way around so slope is
[tex] y = - \frac{2}{1}x + 5[/tex]
