Using proportions, it is found that:
a. The equations are related to the stories as follows:
0.9x+20=830 = Class in college.0.9(x-20)=830 = Computer price.b. The parenthesis is because of the 10% reduction was applied over the value subtracted by $20.
c. The solutions are given as follows:
x = 900: Size of the freshmen class in the previous year.x = 942: Original price of the computer.What is a proportion?A proportion is a fraction of a total amount, and are used along with basic arithmetic operations such as multiplication or division to find the desired measures in the context of a problem.
One example of application of proportions is for percentage problems, as the decimal equivalent of the percentage, considering discounts or increases, is multiplied by the total amount to find the equivalent amount.
For the college class, we have that:
It is 10% smaller than last year's amount of x, that is, 90% of x = 0.9x.Then 20 is added to this amount, that is, 0.9x + 20.The equivalent amount is of 830 students, hence the equation is:
0.9x + 20 = 830
The solution is found as follows:
0.9x = 810
x = 810/0.9
x = 900.
Which is the size of the freshmen class in the previous year.
For the computer in the store, we have that:
The price of x was reduced by $20, hence x - 20.Over the price reduced by $20, a reduction of 10% was applied, hence the price paid is of: 0.9(x - 20).This price is of 830, hence the equation is:
0.9(x - 20) = 830
The solution, which is the initial price of the computer, is found as follows:
x - 20 = 830/0.9
x = 20 + 922
x = 942.
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Find the common difference of the arithmetic sequence -17, -15, -13, ..
Answer: 2
Hope this Helps!
The common difference of the given arithmetic sequence is 2.
The given arithmetic sequence is -17, -15, -13, .....
We need to find the common difference in the given arithmetic sequence.
What is the common difference in the arithmetic sequence?A common difference is a difference between consecutive numbers in an arithmetic sequence. To find it, simply subtract the first term from the second term, or the second from the third, or so on...
Now, common difference=-15-(-17)=-15+17=2
-13-(-15)=-13+15=2
Therefore, the common difference of the given arithmetic sequence is 2.
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To be considered 18-karat (18K) gold, a piece of jewelry must be made of 75% pure gold. The higher the karats, the more valuable a piece of jewelry. A jewelry designer is purchasing a large quantity of 18K gold from a new supplier. To see if the new supplier is being dishonest about the karat rating in the shipment, the designer melts a random sample of the gold and conducts a hypothesis test with H0: The proportion of metal that is gold is 75%, and Ha: The proportion of metal that is gold is less than 75%. What is a Type I error and its consequence in this context
Answer:
The gold shipment truly is made of 75% gold, but the designer concludes that it is made of less than 75% gold. The designer will reject the shipment of gold and miss out on an honest business relationship with the supplier.
Step-by-step explanation:
Type I error is defined as the rejection of the true null hypothesis. It is also called as the 'false positive' conclusion or 'false positive' findings. The value of alpha or the significance level determines the probability of making the error type I.
In the context, it is given that for a gold piece to be of 18 karat , the piece of jewelry must be made of 75% of pure gold.
The null hypothesis is, H0: The proportion of metal that is gold is 75%
The alternative hypothesis is Ha: The proportion of metal that is gold is less than 75%.
Thus the type I error is when the gold shipment is made of 75% gold but the jewelry designer rejects the shipment thinking that the shipment is made of less than 75% gold.
Thus it shows the error of type I rejecting the null hypothesis.
Carlos compro una TV el cual costaba $1200 si por aniversario la tienda le hace un descuento del 25% cuanto dinero le descontaron a Carlos?
Answer:
Descuento= $240
Step-by-step explanation:
Dada la siguiente información:
Precio de venta (sin descuento)= $1.200
Descuento= 20%
Para calcular el descuento que le hicieron a Carlos, debemos utilizar la siguiente formula:
Descuento= precio de venta*porcentaje de descuento
Descuento= 1.200*0,2
Descuento= $240
Use special product patterns to find the product.
16 x 24
Answer:
4
[tex]4 ^{2} \times \sqrt[2]{6} [/tex]
square root 16 is 4^2
same as 24 is 2/6
The requires answer for 16 x 24 by using special product patterns is 384.
What is special product pattern?A special product is a product of two binomials that hold a predictable pattern.
Now the given expression is,
16 x 24
Now both the terms can be written as,
16 = (20 - 4)
24 = (20 + 4)
Therefore we get,
16 x 24 = (20 - 4) x (20 + 4)
since,
a² - b² = (a + b) (a - b)
⇒ (20 - 4) x (20 + 4) = 20² - 4²
∴ 6 x 24 = = 20² - 4²
⇒ 6 x 24 = 400 - 16
⇒ 6 x 24 = 384
Thus, the requires answer for 16 x 24 by using special product patterns is 384.
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Pls help me if your good at math I’ll mark brainliest I
~couldn’t get the whole picture in:(~
A pair of parallel lines are translated.which of these could be the result?
Answer:
B
Step-by-step explanation:
WILL MAKE BRAINLIEST
Answer:
75 vitamins = 18 dollars
Step-by-step explanation:
25 vitamins are equal 6 dollars
Answer:
$311.25
Step-by-step explanation:
Hope its right! 50/$12 divided by 6 = 2/$8.3 divided by 2 = 1/$4.15
1/$4.15 x 75 = 75/$311.25 I hope this is right if not im so sorry!
50 pts , i need the correct answer, my patient is gone because so many ppl put fake answers, just give the right answer i dont have the energy to even say pls anymore.
Answer:
Hello! Sorry about your luck before although im 99% sure my answer is correct.
Answer: area is 180
Step-by-step explanation:
Ok so first starting off im going to calculate the area for each shape serperately and add them up since thats easier so as demonstrated in the picture the rectangle is 25 because i multiply by base × height and the base and height is 5 and 5 pointed in the picture so thats 25 although i didnt calculate the rest because the base and height is the same for each so we can just do 25 × 6 to get all the rectangles so 25 × 6 = 150 now we got the easy part out of the way now we should do the triangles I pointed to the base and height for that on the left the base being 5 and the height being 3 5 × 3 = 15 BUT WAIT this isn't are area for the triangles because when finding area for triangles we have to divide by 2 so... 15 ÷ 2 = 7.5 since there are 4 of those triangles I dont have to solve for the rest because i can just do 7.5 × 4 so...
7.5 × 4 = 30 now we just combine those areas together! so... 150 + 30 = 180 so 180 is our area HOPE THAT HELPS!
Find the length of the third side. If necessary, round to the nearest tenth.2 5
Answer:
b= 4.6
Step-by-step explanation:
use the pythagorean theorem.
Answer:
4.6
Step-by-step explanation:
Do the points of the following quadrilateral create a square? A(3,4) B(-3,4)
C(-3,-2) D(3,-2)
1) Yes
2) No
Answer:
Yes
Step-by-step explanation:
You can refer to the photo that I attached.
is x^2+2bx-v^2 a perfect square trinomial?
Answer:
no x² + 5x + c is a perfect square
Step-by-step explanation:
IXL Q.12 PLS HELP I HAVE BEEN STUCK ON THIS ONE FOR SOME TIME.
Answer:
m∠1 = 100°
Step-by-step explanation:
10. A map uses the scale of ã of an inch to represent 3
miles. If the actual distance between two cities is
25 miles, then what is the length on the map?
HELPP plzzzz ——————and thanks no filessssss
What is an equivalent expression to (2^-4*z^-3)^5
Answer
1/ 2^20 • z^15
step by step explanation
Solve the following quadratic equation
5х2 - 10x – 21 = 39
Answer:
x=1+√13 or x=1−√13
Step-by-step explanation:
Step 1: Subtract 39 from both sides.
5x2−10x−21−39=39−39
5x2−10x−60=0
For this equation: a=5, b=-10, c=-60
5x2+−10x+−60=0
Step 2: Use quadratic formula with a=5, b=-10, c=-60.
x=
−b±√b2−4ac
2a
x=
−(−10)±√(−10)2−4(5)(−60)
2(5)
x=
10±√1300
10
x=1+√13 or x=1−√13
Answer:
Step-by-step explanation:
Rewrite this quadratic in standard form by subtracting 39 from both sides. We get:
5x^2 - 10x - 60 = 0
Reduce this by dividing all four terms by 5:
x^2 - 2x - 12 = 0
Use the quadratic equation to find the roots. The coefficients of the x terms are 1, -2, -12. Thus the discriminant is b^2 - 4ac, or:
(-2)^2 - 4(1)(-12) = -44 of which 4 is a perfect square factor and 11 is not.
Because the discriminant is negative, the given equation has two unequal, complex roots, which are:
-(-10) ± i√4√11
x = -----------------------
10
or x = 1 ± (1/5)√11
help me pls quick fill it out
Answer
Step-by-step explanation:
Camille is packing moving boxes. She has one 4 cubic-foot box and one 7 cubic-foot box. How many cubic feet of clothing can she fit in the two boxes?
Answer:
He can fit 11 ft^3
Step-by-step explanation:
Here, we want to get the volume it clothes that could fit into the two boxes
What we have to do here is to add the amount of space each of the box has to offer
Mathematically, we have this as;
7 ft^3 + 4 ft^3 = 11 ft^3
please answer fast help me i have thgis math problem
Answer:
[tex]x = 152[/tex]
because these angles are infront of each other
Answer:
x = 152
Step-by-step explanation:
x and 152° are vertical angles and are congruent , then
x = 152
find ( f•f)(0)
f(x)=x^2-1
A. 1
B. 0
C. -8
D. -1
Answer:
D
Step-by-step explanation:
Someone help with this please!
Answer:
Two Real Solutions
Step-by-step explanation:
Use quadratic equation discriminant5t^2+3t-7=0
[tex]\sqrt{b^2-4ac} \\\sqrt{9-4*5*-7}\\\sqrt{149}\\discriminant>0 two real solutons[/tex]:
Since the discriminant is greater then 0, it two real solutions.
What is the volume?
(*I wrote the numbers out just in case you couldn't see them.)
Answer:
I believe the volume is 540cm
Step-by-step explanation:
To find the volume of a rectangular prism, all you really need to do is multiply the length x width x height (LxWxH)
For this shape it's just:
9(L)*12(W)=108
108*5(H)=540
Answer:
the volume should be 58320
Step-by-step explanation:
12 x 9 x 12 x 5 x 9 = 58320
sorry if I'm wrong
what is the answer f(t)=40(1.18)^t
Answer:
18% if it is the rate of change.
0 if solved
Step-by-step explanation:
Sorry, but you need more information
Translate this sentence into an equation
The product of donnie’s savings and 3 is 48
Use d to represent Donnie’s savings.
Find the solutions to x2 = 24.
O A. x = +216
O B. x = 16.6
O C. x= 46
O D. x = +62
Answer:
x =±2 sqrt(6)
Step-by-step explanation:
x^2 = 24
Take the square root of each side
sqrt(x^2) = sqrt(24)
x = ±sqrt(4*6)
x =±sqrt(4) sqrt(6)
x =±2 sqrt(6)
A linear sequence starts
11
20
29
38
Work out an expression for the nth term of the sequence.
The nth term is n+9
Answer:
9n + 2.
Step-by-step explanation:
This is arithmetic with common difference d = 9.
nth term = a1 + d(n - 1) (a1 = 11) 11 + 9n - 9
= 11 + 9(n - 1)
= 9n + 2.
In a pacemaker factory, all pacemakers must go through a rigorous quality assurance check before being shipped. The table shows the results
of the quality assurance checks. Find the probability that a non-defective pacemaker "fails." Round your answer to the nearest tenth of a percent. NEED ASAP
Answer:
16.1%
Step-by-step explanation:
Answer:
15.0
Step-by-step explanation:
Kevin open to saving account with $1400 that pays no interest he deposit additional $170 each week write a recursive formula to show how much money Kevin has in his account n weeks after opening the account
Answer:
Amount in account of Kevin after [tex]n[/tex] weeks is equal to [tex]\$(1400+170n)[/tex]
Step-by-step explanation:
Initial amount in the savings account [tex]=\$1400[/tex]
Amount deposited each week by Kevin [tex]=\$170[/tex]
Amount deposited by Kevin in [tex]n[/tex] weeks [tex]=\$170n[/tex]
Therefore,
Amount in account of Kevin after [tex]n[/tex] weeks [tex]=[/tex] Initial amount in the savings account [tex]+[/tex] Amount deposited by Kevin in [tex]n[/tex] weeks
[tex]=\$(1400+170n)[/tex]
Question 4 pls thanks, I will mark Brainliest
the second one.
Step-by-step explanation:
sjisidjdododpdpddod
A:90 clockwise
B:90 counterclockwise
C:180
D:270 clockwise
E:270 counterclowise
Answer:
A. 90 clockwise
Step-by-step explanation:
I think...
I don’t know the answer
Answer:
3 is the answer
Step-by-step explanation:
Mark brainliest