_________________________________
Solution,
30% of 400
= 30/100*400
=120
120 yellow water bottles were in the shipment.
Hope it helps
Good luck on your assignment
__________________________________
the __________ set is the set of elements under consideration
Answer:
SYNTAX PROPERTY
Step-by-step explanation:
The area of a triangle garden can
be no more than 120 square
feet. The base of a triangle
is 16 feet in
lenght What
inequalitie describes the
possible heights, h, of the
triangular garden?
Answer:
0< h ≤ 15
Step-by-step explanation:
A = 1/2 * base * height = 1/2*16*h = 8h
A no more is ≤.
A ≤ 120
8h ≤ 120
h ≤ 15
0< h ≤ 15
Height should be more than 0 feet and no more than 15 feet.
(—5t^3+4t^2—t)—(8t^2+t)
Answer:
Step-by-step explanation:
Tom wants to have $50,000 saved sometime in the future. How much must he deposit every month into an account that pays 1.45% interest, compounded monthly to reach the goal in 5 years?
Answer:
$ 809.78
Step-by-step explanation:
Given that
F = future value = $50,000
Interest rate = r = 1.45% = 0.0145
Number of period per year = 12months
Time expressed in years = 5years
The present value of a periodic deposit
P =( F ×r/n)/{ (1+r/n)^nt} -1
Substituting the values into the above formula
P = (50000× 0.0145/12)/(1+0.0145/12)^12×5}-1
= 50000×0.001208/(1+0.0012)^60}-1
= 60.4/1.0012)^60}-1
60.416/1.074608-1
60.4/0.07460
= $ 809.779
His monthly deposit will be $ 809.78
Micah is a busy college student. He carries a full load of classes and works a full time job to support himself financially while in college. Last semester, his total number of hours between job and classes each week usually amounted to about 80 hours. He has decided that he cannot do so many hours each week this semester. He feels that he has to cut back to about 80% as many hours. If half of his hours are to be school hours, how many school hours will he spend each week this semester?
Answer:
32 school hrs in a week.
Step-by-step explanation:
The reduction percentage =
80 x 0.80 = 64 (hrs)
The distribution =
64/2 = 32hrs
The equation y-2=3(x+1) is written in point-slope form. What is the equation in slope-intercept form?
Our first step would be to distribute this 3 through the
parentheses to get 3x + 3 on the right side of the equation.
On the left bring down your y - 2 to get y - 2 = 3x + 3.
Next we would move the -2 to the right side of the
equation by adding 2 to both sides to get y = 3x + 5.
Now, this equation is written in slope-intercept form because
the y is by itself on the left side of the equation.
Find the volume of the cone
Answer:
489.84 m3 es la respuesta
i need help!How would i find the value of X?
What is 3(4a−3)−(6a+5)? (Thank you to everyone for their hard work!)
Answer:
6a−14
Step-by-step explanation:
Answer:
[tex]=6a-14[/tex]
Step-by-step explanation:
[tex]3\left(4a-3\right)-\left(6a+5\right)\\\mathrm{Expand}\:3\left(4a-3\right):\quad 12a-9\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b-c\right)=ab-ac\\\mathrm{Simplify}\:3\cdot \:4a-3\cdot \:3:\quad 12a-9\\=12a-9\\-\left(6a+5\right):\quad -6a-5\\=12a-9-6a-5\\\mathrm{Simplify}\:12a-9-6a-5:\quad 6a-14\\=6a-14[/tex]
What is the simplified form of this expression?
Answer:
B. -7[tex]x^{2}[/tex] + 3x + 5
Step-by-step explanation:
(-3[tex]x^{2}[/tex] + x + 5) - (4[tex]x^{2}[/tex] - 2x)
-3[tex]x^{2}[/tex] + x + 5 - 4[tex]x^{2}[/tex] - 2x
Combine like terms
-3[tex]x^{2}[/tex] - 4[tex]x^{2}[/tex] = -7[tex]x^{2}[/tex]
x - -2x = x + 2x = 3x
5
-7[tex]x^{2}[/tex] + 3x + 5
I hope this helps :))
in fantasy football, Real Performance statistics from actual players are used to generate mock scores for Imaginary teams and virtual games. What kind of data source is this?
Answer:
[tex]\fbox{\begin{minipage}{8em}Option B: Survey\end{minipage}}[/tex]
Step-by-step explanation:
The data is collected from actual players, from real world, not simulation.
=> Option A-Simulation is incorrect.
The data is all collected subjectively from actual players, and has not been manipulated purposely, like in an experiment, yet.
=> Option C-Experiment is incorrect.
The data is collected subjectively and used directly to generate mock scores without any manipulation.
The data can be considered the results of survey.
=> Option B-Survey is correct
Hope this helps!
:)
Answer: Simulation
Step-by-step explanation:
I took the quiz
Plzzzzz i need help fast
HELP! What is the volume in cubic inches of the solid figure, rounded to the nearest cubic inch?
Answer:
Volume of the solid figure = 1131 cubic inches
Step-by-step explanation:
Volume of solid figure = Volume of half cylindrical prism + Volume of the rectangular prism
Volume of half cylindrical prism = [tex]\frac{1}{2}(\pi r^2h)[/tex]
= [tex](\frac{1}{2})(\pi )(17-11)^2(6)[/tex]
= 339.29 cubic inch.
Volume of the rectangular prism = (length × width × height)
= 11 × 6 × 12
= 792 cubic inches
Volume of the solid figure = 339.29 + 792
= 1131.29
≈ 1131 cubic inches
NEED HELP ASAP! Arianna correctly simplified an expression. When she substituted \ into the simplified expression, the value was –4. Which could be Arianna’s original expression? One-sixth (negative 3 x minus 24) One-sixth (negative 5 x minus 8) One-sixth (negative 10 x minus 4) One-sixth (negative 12 x minus 16).
Answer:
(1/6)(-10x - 4) = -4
Step-by-step explanation:
(1/6)(-3x - 24) = -4
=> -3x - 24 = -4 x 6
=> -3x - 24 = -24
=> -3x = 24 - 24
=> -3x = 0
=> x = 0 (not 2) => Incorrect option
(1/6)(-5x - 8) = -4
=> -5x - 8 = -4 x 6
=> -5x - 8 = -24
=> -5x = 8 - 24
=> -5x = -16
=> x = 16/5 (not 2) => Incorrect option
(1/6)(-10x - 4) = -4
=> -10x - 4 = -4 x 6
=> -10x - 4 = -24
=> -10x = 4 - 24
=> -10x = -20
=> x = 2 => Correct option
(1/6)(-12x - 16) = -4
=> -12x - 16 = -4 x 6
=> -12x - 16 = -24
=> -12x = 16 - 24
=> -12x = 8
=> x = -3/4 (not 2) => Incorrect option
=> Option C is correct
Hope this helps!
Answer: C. One-sixth (negative 10 x minus 4)
Step-by-step explanation: On Edgenuity!!!!!!!!!!!!!
Find the interest when the interest is 4.5 times the principal, the principle is p and the time period is 13.5 years
Plz help!!!!
Answer: Interest will be 3%
Step-by-step explanation:
4.5x = x * r * 13.5
4.5x = 13.5x*r
r = 13.5x/4.5x = 3%
Answer:
Interest will be 3%
Step-by-step explanation:
4.5x = x * r * 13.5
4.5x = 13.5x*r
r = 13.5x/4.5x = 3%
Thank you!
What is the name of this shape?
Please help!
Answer:
It is an isosceles triangle
Step-by-step explanation:
because there are 2 straight lines
Can someone please help me??
Answer:
A∪B = {0,1,3,5,6,7,9}
A∩B = {3}
Step-by-step explanation:
A = {1,3,5,7}
B = {0,3,6,9}
Now
A∪B is a union (unity) of both sets
A∪B = {0,1,3,5,6,7,9}
Now
A∩B is the intersection(common elements) of both sets
A∩B = {3}
Answer:
Step-by-step explanation:
A ={1, 3 , 5 , 7}
B= {0, 3 , 6 , 9}
A U B is a set of all distinct elements that are in A or B
A U B = {0, 1 , 3 , 5 , 6 , 7 , 9}
A ∩ B is a set of all distinct elements that are in both A & B
A ∩ B = {3}
9x (-2y + 5x) - 4 xy (6x-3y) please the person who answers will be marked as brainliest. please show working
Answer:
See explanation
Step-by-step explanation:
[tex]9x(-2y+5x)-4xy(6x-3y)[/tex]
By the distributive property this is equal to:
[tex]9x(-2y)+9x(5x)-4xy(6x)-4xy(-3y)=\\\\-18xy+45x^2-24x^2y+12xy^2[/tex]
Hope this helps!
What is the completely factored form of x3 – 64x?
Answer:
x( x-8)(x+8)
Step-by-step explanation:
x^3 - 64x
Factor out an x
x( x^2 -64)
This is the difference of squares x^2 -8^2 which is a^2 - b^2 = (a-b)(a+b)
x( x-8)(x+8)
Answer:
[tex]x(x - 8)(x + 8)[/tex]
Step-by-step explanation:
[tex] {x}^{3} - 64x \\ x( {x}^{2} - 64) \\ x( {x}^{2} - {8}^{2} ) \\ = x(x - 8)(x + 8)[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
select the equation that has a y-intercept value of 3
Answer:
The y-intercept is the point of which the graphed line passes through the y axis.
Step-by-step explanation:
First person to give me Brainliest wins the official contest!! Hurry!! Please give me Brainliest, I just started using this and really want it.
Medical statistics indicate that 20% of the population will have cancer in their lifetimes. A group of 12 babies is selected at random. a. What is the probability that exactly 5 in the group will get cancer in their lifetime? b. What is the probability that at least 5 will get cancer in their lifetime? Record the answer to four decimal places (x.Xxxx)
Answer:
a. 5.3%
b. 7.3%
Step-by-step explanation:
we have to:
n = 12
p = 0.2
q = 1 - 0.2 = 0.8
We apply the binomial formula:
p (x) = nCx * p ^ x * p ^ (n-x)
a. P (x = 5) = 12C5 * 0.2 ^ 5 * 0.8 ^ (12-5)
12C5 = 12! / (5! * (12 -5)!) = 792
P (x = 5) = 792 * 0.2 ^ 5 * 0.8 ^ (12-5)
P (x = 5) = 0.053
which means that the probability is 5.3%
b. P (x => 5) = 1 - p (x <5)
P (x => 5) = 1 - p (x <= 4)
P (x => 5) = 1 - [P (x = 0) + P (x = 1) + P (x = 2) + P (x = 3) + P (x = 4)]
P (x = 0) = 12C0 * 0.2 ^ 0 * 0.8 ^ (12-0) = 0.069
P (x = 1) = 12C1 * 0.2 ^ 1 * 0.8 ^ (12-1) = 0.206
P (x = 2) = 12C2 * 0.2 ^ 2 * 0.8 ^ (12-2) = 0.283
P (x = 3) = 12C3 * 0.2 ^ 3 * 0.8 ^ (12-3) = 0.236
P (x = 4) = 12C4 * 0.2 ^ 4 * 0.8 ^ (12-4) = 0.133
replacing:
P (x => 5) = 1 - [0.069 + 0.206 + 0.283 + 0.236 + 0.133]
P (x => 5) = 1 - 0.927
P (x => 5) = 0.073
Which means that the probability is 7.3%
Triangle ABC was transformed to be triangle DEF using one transformation. What transformation was performed? translation reflection rotation dilation
Answer:
This is a rotation of 180 degrees
Step-by-step explanation:
A translation is a shift side to side or up and down
A reflection is a mirror image across a line
A dilation is a shrink/enlargement
This is a rotation of 180 degrees. If we rotate around the origin 180 degrees, we will have the same image
Answer:
B. one 90 degree rotation
Step-by-step explanation:
im smart.
Leshawn has $580 in a savings account that pays 3% interest.
How much interest will be earned in 5 years?
How much interest will be earned in 6 months?
Answer:
For 5 years $87
For 6 months $8.7
Step-by-step explanation:
To calculate the interests, we use the simple interest formula
Mathematically;
I = PRT/100
where P is the amount invested called the principal = $580
R is the rate = 3%
Time differs which may be 5 years or 6 months according to the question.
kindly note that 6 months is 0.5 year
For 5 years, we have
I = (580 * 3 * 5)/100 = $87
For 6 months, we have;
I = (580 * 3 * 0.5)/100 = $8.7
How do you solve the inequality 2x-3<-52x−3<−5
Answer:
Idk it really hard to do
What is a reasonable product of 3 9/10× 4 1/5?
Answer: 16.38
Step-by-step explanation: I had this same math problem a while ago and got it right.
Answer:
hello 55
Step-by-step explanation:
(1-√-4)(-3-√-25) with steps pls
Answer:-14
Step-by-step explanation:
(1-√-4)(-3-√-25)
[(1*-3)-(1*√-25)-(√-4*-3)-(√-4*√-25)]
(-3)-(-5)-(6)-(10)
-14
Answer:
[tex]-13+i[/tex]
Step-by-step explanation:
[tex](1-\sqrt{-4} )(-3-\sqrt{-25} )[/tex]
[tex]\left(1-2i\right)\left(-3-5i\right)[/tex]
[tex]\left(1\times \left(-3\right)-\left(-2\right)\left(-5\right)\right)+\left(1\times \left(-5\right)+\left(-2\right)\left(-3\right)\right)i[/tex]
[tex]=-13+i[/tex]
A chocolate brownie recipe is as follows 200g chocolate ,4eggs 60g flour, 60g cocoa, 100g butter, 250g sugar trhe recipe make 24 brownies sarah is making 96 brownies for the village faire how much cocoa does she need
Answer:
240g of cocoa
Step-by-step explanation:
96/24 = 4 times as many brownies, 4 times as many ingredients needed. To find the amount of cocoa, multiply the original amount by four to get 60g × 4 = 240g.
What is the domain of the function shown on the graph?
Answer:
Step-by-step explanation:
Looking at the arrows on the graph, it appears that as the graph keep growing UP unbounded, it also keeps growing to the left unbounded (to negative infinity, to be exact). Looking to the right, it appears that as the graph decreases unbounded (the y values keep getting smaller), the graph keeps growing in the x direct to positive infinity. So the domain is
- ∞ < x < ∞
Reid's Hardware discounts all riding lawnmowers 6% to customers paying in cash. If Trey paid $1,278.75 in cash for a riding lawnmower, then what was the original price of the lawnmower?
Answer:
$ 1360.37
Step-by-step explanation:
Suppose we call the original price of the lawnmower x.
That means, to get a discount, the equation would be,
x * 1 - x * 6% = 1278.75
= (94/100) * x = 1278.75
= (47/50) * x = 1278.75
x = 1278.75 * 47 / 50
= 1360.37
I need help on this can someone help me thank you it’s geometry:)
=========================================================
How to get this answer:
The largest angle ABD is 90 degrees because of the small little angle square marker. Another clue is the notation [tex]BA \perp BD[/tex]. The upside down T symbol means "perpendicular", showing the lines BA and BD form a 90 degree angle. The pieces of the angle (ABC = 4x and CBD = 5x) must add up to 90 degrees, or else they wouldn't fit like a jigsaw puzzle.
--------
(angle ABC) + (angle CBD) = angle ABD
4x + 5x = 90
9x = 90 ... combining like terms
9x/9 = 90/9 ... dividing both sides by 9
x = 10
-------
If x = 10, then 4x = 4*10 = 40, which is the measure of angle ABC
If x = 10, then 5x = 5*10 = 50 is the measure of angle CBD
We see that ABC+CBD = 40+50 = 90