Answer:
[tex]\$3,125[/tex]
Step-by-step explanation:
Let [tex]s[/tex] represent the amount of money he initially started with.
After he spent 20% on books, he will have [tex]100\%-20\%=80\%[/tex] of his initial money left. We can represent this as [tex]0.8s[/tex].
Following that, the boy spends 20% of the remainder of his money on food. Similarly, he will have [tex]100\%-20\%=80\%[/tex] of the remainder of money he had left after he purchased the books. Therefore, he ends up with [tex]0.8(0.8s)=0.64s[/tex] of his money left.
Since we're given that he had $2,000 after all these transactions, we have the following equation:
[tex]0.64s=\$2,000[/tex]
Divide both sides by 0.64 to isolate and solve for [tex]s[/tex]:
[tex]s=\frac{2,000}{0.64}=\boxed{\$3,125}[/tex]
Therefore, the boy had $3,125 to begin with.
Answer:
2800
Step-by-step explanation:
20%+20%=40%
40/100x2000=2800
An 80-mile trip is represented on a gridded map by a directed line segment from point M(3, 2) to point N(9,
13). What point represents 60 miles into the trip? Show your work and explain your reasoning.
Answer:
Step-by-step explanation:
If the distance from M to N is 80 miles and we want to find the coordinates of the point 60 miles into the trip, we are looking for the point 3/4 of the way from M to N, since 60 is 3/4 of 80. This is the process:
First we need to consider that MN is a directed vector. We first find the components of the directed vector, which is found in the change in x and the change in y. First step, then, looks like this:
<Δx, Δy> = <9-3, 13-2> = <6, 11> We will call those the x and y components of the vector (which comes from vector study in both physics and math, so if you don't understand that, it's ok! Just follow the process here and you'll be fine). Knowing that 60 is 3/4 of the way from M to N, we find 3/4 of both the x and y components, like this:
[tex]<\frac{3}{4}(6), \frac{3}{4}(11)>[/tex] which will give us 3/4 of the change in x and 3/4 of the change in y:
[tex]<\frac{18}{4},\frac{33}{4}>=<4.5,8.25>[/tex]
Since we are going 3/4 of the way from M to N, we add that component to the x and y coordinates of M, giving us 3/4 of the way from M to N, which translates to 60 miles of the 80 mile trip:
(3 + 4.5, 2 + 8.25) = (7.5, 10.25)
Those are the coordinates of the point that represents 60 miles into the 80 mile trip.
Write 48596 in standard form
Answer:
forty-eight-thousand five-hundred and ninety-six
A restaurant owner is planning to have a courtyard area sodded. The sod comes in rolls that are 3 feet long by 1 foot wide. If the courtyard measures 60 feet by 50 feet, which of the following expressions represents the number of rolls of sod needed?
Answer:
[tex](60\times 50)\div 3[/tex]
Step-by-step explanation:
We are given that
Length of roll of sod, l=3 feet
Width of roll of sod, b=1 feet
Length of courtyard, L=60 feet
Breadth of courtyard, B=50 feet
Area of rectangle=[tex]Length\times breadth[/tex]
Using the formula
Area of roll of sod=[tex]3\times 1 feet^2[/tex]
Area of roll of sod=3 square feet
Area of courtyard=[tex]60\times 50[/tex] square feet
Number of rolls of sod needed=[tex]\frac{Area\;of\;courtyard}{area\;of\;roll\;of\;sod}[/tex]
Using the formula
Number of rolls of sod needed=[tex]\frac{60\times 50}{3}[/tex]
Number of rolls of sod needed=[tex](60\times 50)\div 3[/tex]
This is required expression which represents the number of rolls of sod needed.
Solve the following
(23-45)+(93÷6)×23
Twenty of the 50 digital video recorders (DVRS) in an inventory are known to be detective What is the probability that a randomly selected item is defective?
Answer:
3/5
Step-by-step explanation:
Remember that odds for plus odds against must be 1. Therefore, 20 out of 50 of the DVRs are defective, so 30 out of 50 would work.
30/50
simplifies into 3/5 so that would be the probability of you picking out a DVR that works, and the probability of picking one that does not work would be the leftover 2/5 . Or, if you're answering with a percent, you would have a 60% chance of picking a working DVR.
I hope this helps, I know the explanation isn't really clear, but I can't really think of another way to explain it.
Whose solution strategy would work?
Answer:
1452628383763637£838
Answer:
B
Step-by-step explanation:
PLEASE HELP! asap:)
i would really appreciate it
Answer:
[tex]{ \tt{ = 2\pi \: rh}} \\ = 2 \times 3.14 \times 12 \times 1 \\ = 75.4 \: {cm}^{2} [/tex]
10 points!!!!!:)
Describe the graph of the function.
[tex]y = \sqrt{x + 3} [/tex]
a). the graph is a radical function y=sqrt(x) shifted 3 units right.
b). the graph is a radical function y=sqrt(x) 3 units left.
c). the graph is of exponential growth.
d). the graph is an absolute value function with vertex (-3,0).
pls help me:).
Answer:
b) y=sqrt(x) shifted 3 units left
Step-by-step explanation:
3rd line in the attached table:
f(x+3) = sqrt(x+3) horizontal translation left 3 units
Help quick pls
The product of three different positive integers is equal to 7^3. What is the sum of the three integers?'
Answer:
it must be 21
Step-by-step explanation:
I have very fast I think giving test just thank the answer after test mark me brainliest
Which expression can be used to convert 22 Australian dollars to US dollars?
Assume 1.2 Australian dollars equals 1 US dollar.
O $22 AUD X
1.2 USD
1 AUD
O $22 AUD X
1 USD
1.2 AUD
O $1.20 AUD X
1 USD
1.2 AUD
O $1.20 AUD X
1.2 USD
1 AUD
Answer:
The answer is B
Step-by-step explanation:
B
The 22 Australian dollar in USD is 18.33.
What is currency?Currency is a medium of exchange for goods or services within an economy, usually issued by a government or central bank and generally accepted at its face value.
Given that, we need to determine that there are how many USD in 22 AUD,
So, 1.2 Australian dollars equals 1 US dollar.
Therefore,
22 AUD = 22 x 1 / 1.2 = 18.33
Hence, the 22 Australian dollar in USD is 18.33.
Learn more about currency, click;
https://brainly.com/question/14372075
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Aslam's age is half of his father's age but 15 years ago his age was just
the father's age. Find his present age now.
Answer:
not possible or not determined is answer
Step-by-step explanation:
because let his father be 33
ad his son be 17
15 years ago
son will be 2
and father will be 18
not possible father's age ≠son's age in any respect unless and until father's age is decreased
Which is equivalent (Algebra ll)
Answer:
D : [tex]x^{2} +81=x^{2} +20x+100[/tex]
Step-by-step explanation:
We start with the original equation:
[tex]\sqrt{x^{2} +81} =x+10[/tex]
Squaring both sides to remove the square root we get:
[tex]x^{2} +81=(x+10)^{2}[/tex]
Expanding the right side:
[tex]x^{2} +81=(x+10)(x+10)[/tex]
Multiplying the right side out and combining like terms we get:
[tex]x^{2} +81=x^{2} +20x+100[/tex]
A certain medical test is known to detect 59% of the people who are afflicted with the disease Y. If 10 people with the disease are administered the test, what is the probability that the test will show that:
Answer:
[tex]P(x = 3) = 0.048[/tex]
Step-by-step explanation:
Given
[tex]n = 10[/tex]
[tex]p=59\% = 0.59[/tex]
Required
[tex]P(x = 3)[/tex] --- probability that 3 are afflicted
This question illustrates binomial probability and it is calcuated using:
[tex]P(x) = ^nC_x * p^x * (1 - p)^{n-x}[/tex]
So, we have:
[tex]P(x = 3) = ^{10}C_3 * 0.59^3 * (1 - 0.59)^{10-3}[/tex]
[tex]P(x = 3) = ^{10}C_3 * 0.59^3 * 0.41^7[/tex]
[tex]P(x = 3) = 120 * 0.59^3 * 0.41^7[/tex]
[tex]P(x = 3) = 0.048[/tex]
What is the scale factor from ABC to DEF?
Answer:
0 so D
Step-by-step explanation:
The shape didnt change at all. All the sides are 5 for both triangles.
pls help i need this answer
Which of the following is TRUE * 1 point
(+6) x (-4) = -10
(+32) ÷ (˗8) = +4
(-5) - (-11) = + 6
(-7) + (+9) = -16
x/2-y+6=0 in slope intercept form
Answer:
[tex]y= \frac{1}{2} x +6[/tex]
Step-by-step explanation:
[tex]x/2-y+6=0[/tex]
[tex]x/2 +6=y[/tex]
[tex]y= \frac{1}{2} x +6[/tex]
the temperature at the foot of a mountain is 5.9 ° C. The temperature decreases by 1.7 ° C for every increase of 200m in height. If the height of the mountain is 1000m, what is the temperature at the top of the mountain?
(X, Y) satisfy the equation? JW Is (-94,-5) a solution to the equation y = x + 89? yes no
Answer:
si
Step-by-step explanation:
si :v
Answer:
yes
Step-by-step explanation:
y = x + 89
-5 = -94 + 89
-5 = -5
The yearly cost in dollars y, for a member at a video game arcade based on total game tokens purchased, x, is y=1/2x+6. A nonmember pays $20 per game token, but no yearly fee. Which equation represents the yearly cost for a nonmember at the same video game arcade based on the total number of game tokens purchased in a year?
Answer:
y = 20x
Step-by-step explanation:
For members
y = 1/2x + 6
Where,
y = yearly cost in dollars
x = total game tokens purchased
1/2 = cost of each game token
6 = yearly fee
For non members: without yearly fee
A nonmember pays $20 per game token
y = 20x represents the yearly cost for a nonmember at the same video game arcade based on the total number of game tokens purchased in a year
Answer:
B,C,E
Step-by-step explanation:
Got it right on Edge
Lana cuts 2 pieces for every 7 inches from a dowel for a craft project, for a total of 7 pieces.
Answer:
24.5 inches need to be cut
Step-by-step explanation:
I need help on my math!!!!!!!
Answer:
67
Step-by-step explanation:
GOOD LUCK!!
What does the point (1994, 400) on the graph represent?
Answer: There are 400 tadpoles in the year 1994.
This is because any point is of the form (x,y) where in this case
x = year number
y = tadpole population number
So (x,y) = (1994, 400) means x = 1994 and y = 400 pair up together.
In short, the year x = 1994 corresponds to the population of y = 400 tadpoles.
From the years 1990 to 1992, the population is increasing since the curve goes upward when moving from left to right. Then from 1992 to 1993, the population decreases hitting its lowest point in that specific region. From 1993 to 1997, the population increases before it decreases again from 1997 to 1999.
If x = 3, y = -2 and z=
-5, evaluate 3y2-5x/3xz
Answer:
12-15/ - 45=
3/-45
=-15
Step by step explanation:
Can sb help me it’s due soon
Answer:
I think 84 but you may need to check just to be sure :)
What is the equation of the line graphed below?
Answer:
y=2/5x
Step-by-step explanation:
Rise over run: you rise by 2, run by 5. Or you can use the slope formula: m=y2-y1/x2-x1
2-0/5-0=2/5=m
if p-1/p = 4 Find (p+1/p)²
Answer:
4
Step-by-step explanation:
[tex] \frac{p - 1}{p} = 4[/tex]
Solve for p.
The numerator. difference has to be 4 times the answer of the denomiator.
So we can say
[tex]p - 1 = 4p[/tex]
Solve for p
[tex] - 1 = 3p[/tex]
[tex]p = - \frac{1}{3} [/tex]
Now plug this in for the other formula.
[tex]( \frac{ - \frac{1}{3} +1}{ \frac{1}{3} } ) {}^{2} = 2 {}^{2} = 4[/tex]
So
Translations _______ side lengths of the figure. A. alter B. all of these C. change D. preserve
Answer:
alter I think I am small but also I know these
What is the value of y, if the standard deviation of 8, 8, 8, 8, y, 8 is 0?
Answer:
y = 8
Step-by-step explanation:
First, we know that the equation for standard deviation is
σ = √((1/N)∑(xₐ-μ)²), with σ being the standard deviation, N being the count of numbers, xₐ being individual values, and μ being the mean. Working backwards, we have
0 = √((1/N)∑(xₐ-μ)²)
Squaring both sides, we get
0 = (1/N)∑(xₐ-μ)²
Since 1/N cannot be 0, we know that
0 = ∑(xₐ-μ)²
Since (xₐ-μ)² can only be ≥0, this means that each value of xₐ-μ must be equal to 0, so
0 = xₐ-μ for each a
xₐ = μ
This leads to the conclusion that each value is equal to the mean, so the mean must be 8.
The mean is equal to the sum / amount of numbers. There are 6 numbers, and the sum is (40+y). The mean is
8 = (40+y)/6
multiply both sides by 6
6*8 = 40+y
48 = 40 + y
This means that
y = 8
Which expression is equivalent to −10x−10+2x+9?
Answer:
-8x - 1
General Formulas and Concepts:
Algebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
-10x - 10 + 2x + 9
Step 2: Simplify
Combine like terms (x): -8x - 10 + 9Combine like term: -8x - 1[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{-10x - 10 + 2x + 9}[/tex]
[tex]\huge\textsf{COMBINE the LIKE TERMS}[/tex]
[tex]\large\textsf{-10x + 2x - 10 + 9}[/tex]
[tex]\large\textsf{-10x + 2x}\\\\\large\textsf{ = \bf -8x}[/tex]
[tex]\large\textsf{-10 + 9}\\\\\large\textsf{ = \bf -1}[/tex]
[tex]\boxed{= \large\textsf{\bf -8x - 1}}\large\checkmark[/tex]
[tex]\boxed{\boxed{\huge\textsf{Answer: \bf -8x - 1 }}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
