Answer:
$245
Step-by-step explanation:
Step-by-step explanation:
$35 / 1/2=x / 3 1/2Divide 35 by 1/2 by multiplying 35 by the reciprocal of 1/2.
35*2=x / 3*2+1/2
Multiply 35 and 2 to get 70.
70=x / 3*2+1/2
Divide x by 3*2+1/2 by multiplying x by the reciprocal of 3*2+1/2.
70=x*2/3*2+1
Multiply 3 and 2 to get 6.
70=x*2/6+1
Add 6 and 1 to get 7.
70=x*2/7
Swap sides so that all variable terms are on the left-hand side.
x*2/7=70
Multiply both sides by 7.
x*2=70*7
Multiply 70 and 7 to get 490.
x*2=490
Divide both sides by 2.
x=490/2
Divide 490 by 2 to get 245.
x=245
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A polynomial function has zeros at 5/2 (multiplicity 2), 3 (multiplicity 1), and 0 (multiplicity 4). Write a function in standard form that could represent this function
Answer:
-75 x^4 + 85 x^5 - 32 x^6 + 4 x^7
Step-by-step explanation:
[tex](x-5/2)^{2}(x-3)(x-0)^4 =0\\(2x-5)^{2}(x-3)(x)^4 =0[/tex]
Expand and get
-75 x^4 + 85 x^5 - 32 x^6 + 4 x^7
The standard form will be [tex]X^4(x^4-7x^3+12x^2-\dfrac{35x}{2} +\dfrac{25x^2}{4} +\dfrac{25}{4} =0[/tex]
What will be the standard form of the given expression?The given expression is
[tex](x-\dfrac{5}{2})^2(x-1)^2(x-0)^4=0[/tex]
[tex](x^2-5x+\frac{25}{4} )(x^2-2x+1)(x^4)=0[/tex]
[tex](x^4-2x^3+x^2-5x^3+10x^2-5x+\dfrac{25x^2}{4} -\dfrac{50}{4} x+\dfrac{25}{4} ) x^4=0[/tex]
[tex]X^4(x^4-7x^3+12x^2-\dfrac{35x}{2} +\dfrac{25x^2}{4} +\dfrac{25}{4} =0[/tex]
Thus the standard form will be
[tex]X^4(x^4-7x^3+12x^2-\dfrac{35x}{2} +\dfrac{25x^2}{4} +\dfrac{25}{4} =0[/tex]
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Aditi fed her dog 1 1/2
cups of dog food in the morning and
3/4 of a cup of dog food in the evening. How many cups did she feed her dog in all?
Find the ratio of the following in the simplest form. 50 minutes to 1 hour
Answer:
5:6
Step-by-step explanation:
1 hour = 60 minutes
Ratio of 50 minutes to 1 hour;
50/60
5:6
Answer:
5:6
Step-by-step explanation:
1 hour= 60 min
50: 60
5:6
A person invested $370 in an account growing at a rate allowing the money to double every 11 years. How long, to the nearest tenth of a year would it take for the value of the account to reach $720
Answer:
10.6
Step-by-step explanation:
y=a(2)^t/d
Plug in
720=370(2)^t/11
Divide both sides by 370
1.945945946 = (2)^t/11
Log both
Log(1.945945946) / Log(2)
0.9604716359 = t/11
0.9604716359 x 11 = t
10.56518799 to the nearest tenth is 10.6 = t
It would take 10.6 years for the value of the account to reach $720.
What is an exponential function?An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.
A person put $370 into an account that grew at a rate that allowed the money to double every 11 years.
As per the question, we can write an exponential function as:
[tex]y=a(2)^{t/d}[/tex]
Substitute the values of y = 720, a = 370 and d = 11 in the above equation:
[tex]720=370(2)^{t/11}[/tex]
Divide both sides by 370
[tex]1.945945946 = (2)^{t/11}[/tex]
Take logarithms on both sides of the equation,
log(1.945945946) / log(2)
0.9604716359 = t/11
0.9604716359 x 11 = t
t = 10.56518799
Rounded to the nearest tenth
t = 10.6
Thus, the required time would be 10.6 years.
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Please Help! One natural number is 4 more than the other one. The product of the two numbers is three times the square of the smaller number. Find the numbers.
Let n and n+4 be the numbers. Then:
n² + 3(n+4)=66
n²+3n-54=0
(n+9)(n-6)=0
n=6 or -9
n+4=10
Assuming positive integers only, the numbers are 6 and 10…..
Step-by-step explanation:
100% right
Answer:
2 and 6
Step-by-step explanation:
What is 16% as a decimal?
Answer:
0.16 in decimal
Step-by-step explanation:
Answer:
0.16
Convert to a fraction, then convert to a decimal by dividing the numerator by the denominator.
16/100
Then when you divide it, it becomes 0.16.
Find the slope of the line that passes through Point A (-1, -6) and Point B (-7, -3), using the formula m= y2-y1/x2-x1.
Answer:
Step-by-step explanation:
Given A (-1, -6) and B (-7, -3)
Slope (m)
= y2-y1/x2-x1
= - 3 + 6 / - 7 + 1
= 3/-6
=-1/2
hope it helps :)
Answer: 3 / -6
Step-by-step explanation:
-3 - (-6) / -7 - - 1 = 3 / -6
The subtraction turns into addition because to “-“ equals “+” and if graphed the points will go up three units and six units to the left
Evaluate 7^2 PLEASE HELP ME
Find the sum of the following series. Round to the nearest hundredth if necessary.
8+24+72+...+12754584
Michael had 3 times as many mangoes as Junior. After eating 8 mangoes. Michael had
twice as many mangoes as Junior. What is the total number of mangoes both boys had at
the beginning?
Answer:
Michael: 24
Junior: 8
Step-by-step explanation:
8 is a multiple of 24, meaning if you ate 1/3 of 24 you get 16, which is doubled 8.
What is the least common denominator of 3/5 and 9/10?
Answer:
9/10
Step-by-step explanation:
3/5 = 6/10 = 9/10 = 9/10
I'm not 100% sure of this answer someone please correct me if I'm incorrect.
Please Help. Will give Brainliest.
Answer:
translation.........
Can someone please help!!!
Answer: {t| t ≥ 2}
Step-by-step explanation:
3t - 6 ≥ t - 2
-t -t
---------------------
2t - 6 ≥ -2
+6 +6
---------------------
2t ≥ 4
t ≥ 2
The perimeter of a triangle is 51 centimeters. The lengths of its sides are represented by x, x + 2 and x + 4. Find the lengths of all three sides.
Answer:
sides are 15 cm, 17 cm, and 19 cm
Step-by-step explanation:
x + (x+2) + (x+4) = 51
3x+6 = 51
3x = 45
x = 15
Sydney's car used 1/ 3/5
gallons to travel 6666 miles. How many miles can the car go on one gallon of gas?
Answer:
Sydney car can go 44.4 miles on gallon
Can someone help me
Answer:
The first one is a right angle (90-degree angle) The second one is an acute and obtuse angle. And the slope is y=2x-3
Step-by-step explanation:
Hope this Helped
In the first 15 seconds of the rollercoaster, passengers are carried up a 90-meter hill, plunged down 62 meters, and quickly taken back up a 38-meter rise. How much higher or lower from the start of the ride are they after these 15 seconds?
Answer:
90-62=28
28+38=66
90-66=24
in 15 seconds they are 24 meters lower
30 POINTS PLS HELP
The slope of the linear function y= 5/4x +1/2 is changed to 5/8 where y= 5/8x + 1/2. Identify the transformation required to produce the new slope, state the equation of the transformed function, ande explainw hat the graph of the tranfsformed line look like.
Here is the picture of the question
Answer:
We proceed to use the following operations: (i) Vertical translation downwards ([tex]k = -\frac{1}{2}[/tex]), (ii) Vertical compression ([tex]c = \frac{1}{2}[/tex]), (iii) Vertical translation upwards ([tex]k = \frac{1}{2}[/tex]). The graph is presented below.
Step-by-step explanation:
To transform [tex]y = \frac{5}{4}\cdot x + \frac{1}{2}[/tex] into [tex]y = \frac{5}{8}\cdot x + \frac{1}{2}[/tex], we apply the following steps:
(i) Vertical translation downwards ([tex]k = -\frac{1}{2}[/tex])
[tex]g(x) = f(x) +k[/tex] (1)
(ii) Vertical compression ([tex]c = \frac{1}{2}[/tex])
[tex]g(x) = c\cdot f(x)[/tex] (2)
(iii) Vertical translation upwards ([tex]k = \frac{1}{2}[/tex])
[tex]g(x) = f(x) + k[/tex]
Now, we proceed to transform the primitive expression:
Step 1
[tex]f'(x) = \frac{5}{4}\cdot x[/tex]
Step 2
[tex]f''(x) = \frac{5}{8}\cdot x[/tex]
Step 3
[tex]g(x) = \frac{5}{8}\cdot x + \frac{1}{2}[/tex]
The graph of both function are now presented below. The parent function is the red line and the new function is represented by the blue line.
Hazel works at The Last Page Booksellers. Her total earnings were $24,000 last year. Hazel
paid $157 in payroll taxes for every $1,000 she earned.
What was Hazel's net income for last year?
Answer:
Step-by-step explanation:
157x24 = ...
Rewrite y=a(1/3)^3t in the form y = a(1+r)^t or y = a(1 –r)^t
Answer:
sorry
Step-by-step explanation:
sorry I cannot help u because I have not seen this type of question before and I have not learn I am in 7 classes
Joe has $50.00. He wants to buy equal numbers of soft drinks and sandwiches. A soft drink costs $0.79. A sandwich costs $2.49. How many of each can joe buy with his $50.00? A.15 B.20 C.41 D.63 please help if you can!
Answer:
First you have to add the price of one soft drink and one sandwich which would be $3.28. Then divide 50 with 3.28 and you get 15.2439 approximately 15.
So your asnwer should be A. 15
Step-by-step explanation:
-595-65
Btw they are both negative numbers
Answer:
-660
Step-by-step explanation:
-595-65=-660
What is the area of the triangle? 4 6 units2
Plss this is timed will mark brain least if shown work!
Answer:
I just answered this
do 62.31/3 which is 20.77 so 1 shirt cost 20.77
now do 20.77+3.66 which is 24.43
so the answer is C. $24.43
What is the measure of angle A?
Enter your answer as a decimal in the box. Round your final answer to the nearest hundredth.
Answer: 45 degrees
Step-by-step explanation:
Paz has $18 in her wallet. This is 3 times the money in her pocket. Write and solve an equation to find how much money Paz has in her pocket.
3x=18
x= 6
6 dollars in pocket
Answer:
32+s=55
Step-by-step explanation:
Sarah is saving money to buy a jacket that costs $47. She has already saved $25. Write an equation to find out how much more money Sarah needs to save, using x, to represent how much more she needs to save.
if kya wins the election she will not be continuing to get in touch with her family/friends and now she has to make a decision to help people in need around the world she is 48 hours to decide if she will go or not she need to week to pack and they leave the day after because she says that yes how long would you have with her family/Friends
Answer:
47 hours?
Step-by-step explanation:
She would have 47 hours lol
If she says yes then she would have enough time to spend with family and then 1 hour to go?
The population of cats that are rescued every year is currently 50,000 and declines at a rate of 1.2% every year. This models
Answer:
Exponential decay
Which expression is equivalent to x + 0.2x
1.2x
0.2x squared
0.2x
1.02x