Answer:
A) [tex]\$\ 2932.5[/tex]
Step-by-step explanation:
One is given that a certain amount of money was allotted to be spent on supplies. However, there was a discount applied to the purchase. One is asked to find the amount of money actually spent on the supplies.
$3450 was the initial price that was to be spent on supplies, however, a (15%) discount was applied to this price. Subtract (15) from (100) to find the percent value that was actually spent on supplies.
[tex]100-15=85[/tex]
(85%) of the allotted money was actually spent on supplies. Now one has to find out the numerical value of the amount spent. Divide (85) by (100) and then multiply it by the amount of money allotted to the purchase, to fin the amount actually spent on the purchase.
[tex]3450*(\frac{85}{100})\\\\=3450*0.85\\\\=2932.5[/tex]
could anyone help me solve this? I’ve had several questions like this and I don’t understand how to solve it. I’ll give brainliest:)
Answer:
-2, - 1, - 2 and - 3
Step-by-step explanation:
As the graph depicts an odd function, it will follow the rule f(-x) = - f(x)
According to the U.S. National Center for Health Statistics, there is a 98% probability that a
20-year-old male will survive to age 30.
(a) Using statistical software, simulate taking 100 random samples of size 30 from this
population.
(b) Using the results of the simulation, compute the probability that exactly 29 of the 30 males
survive to age 30.
(c) Compute the probability that exactly 29 of the 30 males survive to age 30, using the
binomial probability distribution.
(d) Using the results of the simulation, compute the probability that at most 27 of the 30 males
survive to age 30.
(e) Compute the probability that at most 27 of the 30 males survive to age 30 using the
binomial probability distribution.
(f) Compute the mean number of male survivors in the 100 simulations of the probability
experiment. Is it close to the expected value?
(g) Compute the standard deviation of the number of
male survivors in the 100 simulations of the probability experiment. Compare the result to the
theoretical standard deviation of the probability distribution
Answer:
0.03398 or 3.398%
Step-by-step explanation:
-This is a binomial probability problem.
-Given p=0.24, n=100, the probability that exactly 30 people is calculated as:
Hence, the probability that exactly 30 people have hypertension is 0.03398
Simplify the expression (4r — 5r²) - (r — 2r²) what is the answer
a farmer produced 47581 2 oranges of one kind and 651 65 oranges of another kind He mixed these oranges and packed in 296 boxes how many oranges did he pack in a box?
Step-by-step explanation:
I am not sure the scanning of the text went well, as this has some strange gaps in the numbers.
I understand that we have 475812 oranges of one type and 65165 oranges of another type.
we have no information, if these types of oranges have significantly different sizes or weight. so, we have to assume that they are reasonably equal to each other.
therefore, the "different type" statement is just to confuse us. the text could have also said that these were 2 different truck loads of the same type.
we only need to deal with the total number of oranges.
so,
475812 + 65165 = 540977 total oranges
he packs them into 296 boxes.
that makes
540977 / 296 = 1827.625 oranges per box.
these are many oranges for one box in real life.
and it is not a round number, which is strange for a home work or test question if this type.
if the farmer truly put only the same number of oranges in every box, he would have
540977 - 1827×296 = 540977 - 540792 = 185
oranges left over.
in any case, these are all signs that there was probably something wrong with the text. but you see the principle up there. please do the same thing with the real numbers.
Numbers of one kind oranges=475812
No of other kind oranges=65165Total oranges
[tex]\\ \sf\longmapsto 475812+65165=540977[/tex]
Total boxes=296Oranges per box:-
[tex]\\ \sf\longmapsto \dfrac{540977}{296}=1827.6[/tex]
[tex]\\ \sf\longmapsto 1827(Approx)[/tex]
With her new company, Annika has a two-year assignment living in a large city. The company will reimburse most of her expenses. Annika is using the Quantitative Reasoning Process to build a budget. Calculate Annika's estimated living expenses for the next two years using the following: Rent: $1,200 per month, Gym membership: $400 per year with a monthly fee of $35, Renters' insurance: $75 every 6 months, Groceries: $390 per month, and Eating out & entertaining: $250 per week. Assume 52 weeks in 1 year and 12 months in 1 year. (Round your answer to the nearest whole dollar)
Answer:
Estimated expenses for next 2 years:
Rent = 1100 * 12 * 2 = 26,400
Gym membership = 450 * 2 = 900
Gym monthly fee = 40 * 12 * 2 = 960
Renter's insurance = 60 * (12 * 2 / 6) = 240
Groceries = 300 * 12 * 2 = 7200
Eating out & entertainment = 175 * 52 * 2 = 18,200
Total estimated living expenses = $53,900
Step-by-step explanation:
I don’t remember learning this, need some help!
Answer:
4
Step-by-step explanation:
(y+2)²=[(-4)+2]²
=(-4+2)²
=-2²
=4
Please help me. I don't understand fractions here is my problem.
Add:
5/24+9/20
Answer:
79/120
Step-by-step explanation:
5/24+9/20
to add the fractions the denominator (bottom part) has to be the same. ex you can add one third and one third to make two thirds. but you wont know what 1/2 + 1/3 is.
convert to same denominator. to do this, the fractions themselves need to stay the same value but the bottom number needs to change. ex 1/2=2/4 and 1/3= 2/6. when you multiply and divide the top and bottom part of the fraction by the same number, the value of the fraction stays the same. ex 3/6 divide both parts by 3 you get 1/3. so 3/6=1/3
to get the common denominator we have to find the least common multiple, or LCM (since 5 and 9 dont share any common factors.)
24 and 20 LCM
=120
convert both 5/24+9/20 to x/120 and y/120
5/24 multiply by 5 on top and bottom
=25/120
9/20 multiply by 6 on top and bottom
=54/120
25/120+54/120
=(25+54)/120
=79/120
Priya is buying raisins and almonds to make trail mix. Almonds cost $5.20 per pound and raisins cost $2.75 per pound. Priya spent $11.70 buying almonds and raisins. The relationship between pounds off almonds a, pounds of raisins r, and the total cost is represented by the equation 5.20a + 2.75r = 11.70.
How many pounds of raisins did Priya buy if she bought the following amount of almonds:
a pounds of almonds
Answer:
2.25 pounds of raisins
Step-by-step explanation:
Two professional gamers subscribe to twitch streamers. Jonah has 430$ saved up, and spends 45$ a month on
subscriptions. Rodrick has 310$ saved up, and spends 25$ a month on subscriptions.
A) Create an equation that can be used to find m, the number of months it will take for both gamers to have the
same amount of money left?
B) After how many months will the gamers have the same amount of money?
Answer:
A) [tex]430-45m = 310-25m[/tex]
B) 6 months
Step-by-step explanation:
A) for Jonah, the equation would be [tex]430-45m[/tex]
Because the money is being spent on the subs, you subtract that from his original savings.
The same thing is said for Rodrick, but his equation would be [tex]310-25m[/tex]
to find out the number of months it will take for both gamers to have the
same amount of money left, you set their equations equal to each other:
[tex]430-45m = 310-25m[/tex]
B) you solve for m.
[tex]430-45m = 310-25m[/tex]
first by subtracting 310 on both sides to get:
[tex]430-310-45m=-25m[/tex]
[tex]120-45m=-25m[/tex]
then add 45m on both sides because we cant have negative months
[tex]120=-25m+45m[/tex]
[tex]120=20m[/tex]
divide by 20 on both sides to get the number of months
[tex]\frac{120}{20} =\frac{20m}{20}[/tex]
[tex]m=6[/tex]
Which choice shows 30 + 10 + 20 rewritten correctly using the commutative property and then simplified correctly?
A.30 + 20 + 10 = 50 + 10 = 60.
B.30+10+10+10=40+10+10=50+10=60
C.30+20+10=50+30=80
D.30+10+10+10=40+10=50
Answer:
A. 30+20+10=50+10=60
Step-by-step explanation:
The commutative property is the property of which you can rearrange the numbers around but the answer stays the same. From the original equation, you moved 20 and 10 around and added 30+20=50 then, you add 10 plus that 50 since you haven't done anything to the 10 yet. So, 50+10=60.
Hope this helped! Please rate 5 stars and give Brainliest!
10. What is the multiple zero and multiplicity of f(x) = (x - 3)(x - 3)(x + 5)?
Multiple zero is -3; multiplicity is 2
Multiple zero is 5; multiplicity is 1
Multiple zero is -5; multiplicity is 1
Multiple zero is 3; multiplicity is 2
Answer:
x=3, multiplicity of 2
x=-5, multiplicity of 1
Step-by-step explanation:
f(x) = (x - 3)(x - 3)(x + 5)
Rewriting
f(x) = (x - 3)^2(x + 5)
Setting equal to zero
0 = (x - 3)^2(x + 5)
Using the zero product property
(x-3)^2 = 0 x+5 = 0
x-3 = 0 x= -5
x=3 x-5
Since x-3 was squared, the multiplicity is 2
Answer:
x=3, multiplicity of 2
x=-5, multiplicity of 1
Step-by-step explanation
A farmer wants to build a rectangular fence to enclose a 144\ \textup{ft}^2 yard. If the yard is square, how many feet of fence will he need?
Answer:
12* 12 = 144
thus 4*12 = 48 feet of fence
Step-by-step explanation:
2/8 of a rope is 28 meters.What is the length of the rope? A.32 B.42 C.4 D.21
let length be x
ATQ
[tex]\\ \sf\longmapsto \dfrac{2}{8}\times x=28[/tex]
[tex]\\ \sf\longmapsto \dfrac{2x}{8}=28[/tex]
[tex]\\ \sf\longmapsto \dfrac{x}{4}=28[/tex]
[tex]\\ \sf\longmapsto x=4(28)[/tex]
[tex]\\ \sf\longmapsto x=112[/tex]
Step-by-step explanation:
there is something wrong with your problem description.
the offered answer options do not fit to the solution as it is described.
2/8th of a rope is 28 meters long. how long is the whole rope ?
as the other answer said : 2/8 = 1/4
and 1/4th of the rope x = 28 m
1/4 × x = 28
x (the length of the whole rope) = 4×28 = 112 meters
but - maybe the original problem said that 7/8th (and not 2/8th) of a rope is 28 m.
7/8 × x = 28
1/8 × x = 4
x = 32 m
then A (32) would be the right answer !
The image below is a triangle drawn inside a circle with center O:
A triangle is shown inscribed inside a circle. The leg of the triangle labeled 8 inches passes through the center of the circle, O. The other two legs are labeled as 4 inches and 5 inches.
Which of the following expressions shows the area, in square inches, of the circle?
(π = 3.14)
Answer:
26
Step-by-step explanation:
Answer: 3.14 · 4²
Step-by-step explanation:
A = π · r²
A = 3.14 · 4²
Hope this helps!
If x - A = B, what is X?
9514 1404 393
Answer:
(a)
Step-by-step explanation:
Add A to both sides of the equation:
X -A +A = B +A
X = B + A
The sum of the two matrices is the matrix that is the sum of corresponding terms.
x11 = B11 +A11 = -9+2 = 7
x12= B12 +A12 = 5-7 = -2
These calculations are sufficient to match the answer with choice (a).
A principal of $4000 is placed in a savings account at 6% per annum compounded annually. How much interest is earned in the account after three years
The interest earned in the account after three years is $720.
The formula for simple interest= P×T × R/100
Principal (P) = $4000
Time( T) = 3 years
Rate(R) = 6%
interest(I)= 4000×3 × 6/100
I = 72000 ÷ 100
I = 720
Therefore, the interest earned in the account after three years is $720.
Learn more about simple interest here:
https://brainly.com/question/19705587
There was 1500ml of orange juice in the carton. Molly used 1/4litre at breakfast. How much orange juice was left in the carton.?
Answer:
1250ml
Step-by-step explanation:
1/4litre=250ml
1500-250
Tính tích phân sau bằng cách dùng tọa độ cực I=∫∫ [tex]\frac{1}{\sqrt{x^{2} +y^{2} } }[/tex]dxdy R là miền nằm trọg góc phần tư thứ nhất thỏa mãn 4[tex]\leq x^{2} +y^{2} \leq 9[/tex]
It sounds like R is the region (in polar coordinates)
R = {(r, θ) : 2 ≤ r ≤ 3 and 0 ≤ θ ≤ π/2}
Then the integral is
[tex]\displaystyle \iint_R\frac{\mathrm dx\,\mathrm dy}{\sqrt{x^2+y^2}} = \int_0^{\pi/2}\int_2^3 \frac{r\,\mathrm dr\,\mathrm d\theta}{\sqrt{r^2}} \\\\ = \int_0^{\pi/2}\int_2^3 \mathrm dr\,\mathrm d\theta \\\\ = \frac\pi2\int_2^3 \mathrm dr \\\\ = \frac\pi2r\bigg|_2^3 = \frac\pi2 (3-2) = \boxed{\frac\pi2}[/tex]
factor x-a in such a way that square root of x - square root of a is a factor
We want to factor the expression x - a, in such a way that we have one factor written as:
(√x - √a)
We will find that the factorized expression is:
(√x - √a)*(√x + √a)
Here we need to remember two things:
First, (√x)^2 = √(x^2) = x
also:
(x^2 - y^2) = (x + y)*(x - y)
Now, using the first property, we can rewrite our original expression as:
(x - a) = ( (√x)^2 - (√a)^2)
Now, using the second property, we can rewrite it as:
( (√x)^2 - (√a)^2) = (√x - √a)*(√x + √a)
Then we have:
(x - a) = (√x - √a)*(√x + √a)
Thus, we have factorized (x - a) in such a way that one of the factors is equal to (√x - √a)
If you want to learn more, you can read:
https://brainly.com/question/19386208
Which expression is equivalent to -80?
O -4.5
O-4.5
O 4/5
O 4.5
Answer:
-4/5
Step-by-step explanation:
When you divide -4 from 5 you get -0.80
Find the average rate of change of g(x) = 2x^3 - 5 from x= -4 to x= 2
Step-by-step explanation:
the average change rate is the change of the functional values from the beginning to the end of the interval, and then that divided by the length of the interval.
like with every average or mean value calculation.
g(-4) = 2×(-4)³ - 5 = -128 - 5 = -133
g(2) = 2×2³ - 5 = 16 - 5 = 11
so, on an interval of x values of 2- -4 = 6 units the function changes its values by 11 - -133 = 144 units.
the average charge rate for this x interval is therefore
144 / 6 = 24 = 24/1
for 1 unit change of x, g(x) changes in the average by 24 units.
For real numbers x and y, what is the largest possible value of [tex]5 - (x-3)^2[/tex]?
Answer:
5
Step-by-step explanation:
Anything other than making x - 3 = 0 will make x - 3 have a value. No matter what happens (x - 3)^2 is positive. There is a minus sign outside the brackets which makes (x - 3)^2 negative.
That means that something is always taken away from 5 unless x = 3. Try and find any value that will make a number bigger than or equal to five that isn't x = 3.
By the way, I'm assuming the question is y = 5 - (x - 3)^2
How to find joint and combined variation?
Step-by-step explanation:
Z will stay the same since the 2 will divide into 1
if logx27 + logy4 =5
and logx27 - logy4 =1
find x and y
Answer:
Hello,
I have reply too quick in comments (sorry)
Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}log_x (27)+log_y (4)=5\\log_x (27)-log_y (4)=1\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}2*log_x (27)=6\\2*log_y (4)=4\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}log_x (27)=3\\log_y (4)=2\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x^{log_x (27)}=x^3\\y^{log_y (4)}=y^2\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}27=x^3\\4=y^2\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x=3\\y=2\\\end{array}\right.\\\\[/tex]
Find The Base Of Parallelogram Whose Area Is 80cm And Height Is 5cm
Answer:
16cm
Step-by-step explanation:
Area is A = bh
to find a base, b = A/h
A=80
h=5
so then we have b = 80/5 = 16
(-3.8)+(-21.14)+(-0.55)
please mark this answer as brainlist
convert from degrees to radians
250°
Answer: the radians should be 125
Step-by-step explanation:
it says 'solve the following systems of equations. solve one using substitution and solve the other using elimination' the problems are x - 3y = 16 and 3x - 2y = 13 i don't know how to solve these please help
Step-by-step explanation:
you gave me only one system of 2 equations. not 2 systems or more.
maybe you missed something.
I can solve this one system in two ways, though.
substitution :
x - 3y = 16
3x - 2y = 13
the first equation gives us
x = 3y + 16
that we can use now in the second equation
3×(3y+16) - 2y = 13
9y + 48 - 2y = 13
7y + 48 = 13
7y = -35
y = -5
x = 3y + 16 = 3×-5 + 16 = -15 + 16 = 1
that's it. that is all the secret of substitution. you use one equation to express one variable by the other. and then you use that in the second equation to have suddenly only one equation with one variable that you can solve. and then from that result you calculate back the other "substituted" variable.
elimination :
x - 3y = 16
3x - 2y = 13
we multiply one equation completely by a factor and then add both equations. of course we should pick a factor that will eliminate one variable, when we add the equations.
e.g.
multiply the first equation by -3
-3x + 9y = -48
3x - 2y = 13
--------------------
0 7y = -35
y = -5
now we pick any one of the equations to use that result and calculate the other variable
e.g. the second equation
3x - 2×-5 = 13
3x + 10 = 13
3x = 3
x = 1
done.
as you can see : of course, both results are identical.
use the described principles to solve any other systems of equations you might have missed here.
Find the solutions of x^2+30 = 0
please give detailed steps!
Answer:
x= i√30
Step-by-step explanation:
I'm going to go into this under the assumption that you've covered imaginary numbers based on the question. If I'm wrong then sorry about that.
Okay, so first you want to subtract 30 from both sides
x^2=-30
Then you take the square root of each side.
√(x^2)=√-30
x=√-30
Since it's impossible to square a number to get a negative number, you'll end up with an imaginary number. You have to rewrite x=√-30 to get rid of the negative sign under the radical. Rewriting this will also indicate that it's an imaginary number.
Final answer: x = i√30
A circular fence is being placed to surround a tree. The diameter of the
fence is 4 feet. How much fencing is used? *
Answer:
12.6 ft
Step-by-step explanation:
