Answer: [tex]\$202[/tex]
Step-by-step explanation:
Given
Jennifer has $400 more than Brian
Suppose Brian has x amount initially
So, Jennifer has 400+x
If Jennifer gives 20% of her to Brian, then brian would have two-third of the amount Jennifer left with
[tex]\Rightarrow \dfrac{2}{3}\times [400+x](1-0.2)=[400+x](0.2)+x\\\\\Rightarrow \dfrac{2}{3}\times 0.8\times (400+x)=80+0.2x+x\\\\\Rightarrow 213.334+0.533x=80+1.2x\\\Rightarrow 133.334=0.66x\\\Rightarrow x=\$202.02[/tex]
Thus, Brain has [tex]\$202[/tex]
A juice machine is set to dispense 16 ounces of juice. The amount of juice
dispensed is normally distributed, with a mean of 16.15 ounces and a
standard deviation of 0.25 ounces. In which range will the amount of juice
dispensed be found 68% of the time?
Answer: A): 15.90 ounces to 16.4 ounces.
Step-by-step explanation:
Considering the standard deviation is 0.25 ounces. The mean of the juice is 16.15 ounces. Additionally, 68% is one standard deviation away from the mean.
With that being said, you would do the following calculations:
[tex]16.15-0.25=15.90\\\\16.15+0.25=16.40[/tex]
This question relates to The Empirical Rule and understanding how it works. A brief summary is that within one standard deviation of the mean, that is where 68% of the data lies. Two standards deviations is 95%. And three standard deviations is 99.5%.
The formula: [tex]u\frac{+}{-} o[/tex]
the mean PLUS OR MINUS the standard deviation.
Answer:
A
Step-by-step explanation:
find the largest value :
A=5-x^2+2x
Answer:
6
Step-by-step explanation:
A=5-x^2+2x
Rewriting
A = -x^2 +2x+5
This is a downward opening parabola so the maximum value is at the vertex
Factor out the negative sign out of the first two terms
A = -(x^2 -2x) +5
Complete the square
-2/2 = -1 -1^2 = 1
Add 1 inside the parentheses Remember the negative sign out front so -1(1) is really adding -1 so we need to add 1 outside of the parentheses
A = -(x^2-2x+1) +1 +5
A = -(x-1)^2 +6
This is in vertex form
y = a(x-h)^2 +k where (h,k) is the vertex
The maximum occurs at x=h and the value is k
The maximum is 6
21 is 35% of what number (shown work)
Answer:
60
Step-by-step explanation:
Is means equals and of means multiply
21 = 35% * n
21 = .35*n
Divide each side by .35
21/.35 = .35n/.35
60 = n
Answer:
60
Step-by-step explanation:
35% of 60 is 21 its that simple
Select the correct answer from each drop-down menu. The asymptote of the function f(x) = 3x + 1 – 2 is ____ Its y-intercept is ____
Answer:
-2
(0, 1)
Step-by-step explanation:
Giveb the function :
F(x) = 3^x + 1 – 2
To obtain the asymptote, take the limit of f(x) as x as tends to ∞
3^(∞+1) - 2 = 0 - 2
Hence,
y = 0 - 2.
y = - 2
The y intercept, this is the value of y when x = 0
Hence, put x = 0
F(0) = 3^(0 + 1) – 2
f(0) = 3^1 - 2
f(0) = 3 - 2
f(0) = 1
Y - intercept = (0, 1)
Which of the following examples best represents the use of an interval scale? measuring the number of cookie boxes sold by scouts on the west coast of a town versus those sold on the east coast of the town naming the different car brands seen in a school's parking lot assessing students' ratings of their professors' performance on a five-point scale ranging from poor to excellent ranking the participants of a race based on their performance
Answer:
students' ratings of their professors' performance on a five-point scale ranging from poor to excellent
Step-by-step explanation:
There are four type of scales in mathematics. They include:
1. Nominal scale : they do not measure quantity. they are used to classify a population into two or more scales that are exhaustive and mutually exclusive. e.g. classifying a population based on gender, naming the different car brands seen in a school's parking lot
2. Ordinal scale : this scale measures ranks a population from best to worst or from least to most. e.g. ranking the participants of a race based on their performance
3. Interval scale : this scale has the property of order and equal intervals. Zero is not meaningful.
Interval scale is used when the difference between the numbers are meaningful. e.g. students' ratings of their professors' performance on a five-point scale ranging from poor to excellent Here a child who is scored 1, did very poorly and a child scored 5, performed excellently well.
4. Ratio scale : this scale has the property of order, a meaningful zero and equal intervals.
here is another question can u help.
Answer:
The answer is (0,2)
Step-by-step explanation:
The second quadrant or Quadrant II has coordinates that are ALL positive.
(my favorite quadrant)
The coordinates would look like (4, 5) or (19, 69) and so on.
The cost of tickets of a comedy show of 'Gaijatra' is Rs 700 for an adult and Rs 500 for a child. If a family paid Rs 3,100 for 5 tickets, how many tickets were purchased in each category?
Answer:
Step-by-step explanation:
We need to create a system of equations here, one for the NUMBER of tickets sold and one for the COST of the tickets. They are very much NOT the same thing.
We have that the total number of tickets is 5, and that that total is made up of adult tickets and child tickets. The equation for the NUMBER of tickets, then, is:
a + c = 5
Now for the money.
If a child ticket costs Rc 500, the expression that represents that that is in fact the cost of the child ticket is 500c;
likewise for the adult ticket. If the adult ticket costs Rc 700, the expression that represents that is 700a.
And we know that a total of Rs 1300 was spent on the tickets. The equation for the COST is
700a + 500c = 1300
Now go back to the first equation and solve it for either a or c, it doesn't matter which. I solved for a:
a = 5 - c and we will sub that into the second equation for a:
700(5 - c) + 500c = 1300 and
3500 - 700c + 500c = 1300 and
-200c = -400 so
c = 2 tickets. That means that there were
a = 3 tickets sold for the adults.
below are properties of a square which one is not a all sides are equal b all angles are right angles C has five interior angles d diagonals are equal
Answer:
has five interior angles
a square is a quadrant meaning it has four interior angles
Which of the following have a total of 8 possible outcomes? Check all that apply.
Answer:
Probably the first three answers
Step-by-step explanation:
The rest are
4) 3×5=15 (which is not 8)
5) 6×2=12 (≠8)
So it's just the first three
the perimeter of the shape is
Answer:
94 cm.
Step-by-step explanation:
Perimeter = 25 + 2(10) + + 2(12) + 25
= 50 + 20 + 24
= 94 cm.
Ryan loves collecting keychains from his family vacations. He currently has 15 keychains in his collection and wants to add 5 keychains each year. How many keychains will be in his collection in 18 years?
in two or more complete sentences, describe how to graph the following equation. in your description, include the slope and both the x- and y-intercepts of the line. y=2
Answer:
Slope: 0
x-intercept: there isnt one
y-intercept: 2
Step-by-step explanation:
the easiest way to look at this is to put it in the form y=mx+b where m is the slope and b is the y intercept. when we just think about what y=2 would look like, we can imagine a straight horizontal line at y=2. No matter what x value you choose, y will always equal 2. We know the slope (m) of any horizontal line is zero because there is no rise and zero divided by anything is going to be zero. we also know if y is always equal to 2 the y intercept will be 2. this would give us y=0x+2. to find the x intercept we just need to set y equal to zero in this equation. this gives us 0=0x+2 or 0=2 which can never be true, therefore there will be no x intercept.
*insert shrek script*
...................................
Algebra is confusing !! :(
Answer:
Step-by-step explanation:
Hello!
x²-4 = 5*5-4= 21
3x= 3*5 = 15
21/15 = 1,4
Answer: Fourth Choice. 1.4
Step-by-step explanation:
Concept:
Here, we need to understand the idea of evaluation.
When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.
Solve:
Given
(x² - 4) / 3x
x = 5
Substitute the value of x
[(5)² - 4) / 3(5)
Simplify exponents
(25 - 4) / 3(5)
Simplify numerator with subtraction and denominator with multiplication
21 / 15
Simplify by division
7/5 = 1.4
Hope this helps!! :)
Please let me know if you have any questions
Every bottle of supercharge vitamins contains 50 vitamins. Let v be the total number of vitamins and let b be the number of bottles.
Answer:
The answer is "[tex]v = \frac{50b}{v} = 50 \times b[/tex]".
Step-by-step explanation:
A single bottle of supercharging includes the equivalent of 50 vitamins.
Number of vitamins v = Total number of vitamins
b = the number of bottles that were used
Because each bottle contains one vitamin, you should multiply this total number of bottles (b) by the total amount of vitamins (50 vitamins).
[tex]v = \frac{50b}{v} = 50 \times b[/tex] so, Both are the same.
Answer:
i just did it- here ya go
Step-by-step explanation:
Which equation relates the population (P) in millions to the time that has passed (T) if the growth rate is 4% per year and the starting
population is 10 million people?
(1) P = 10(0.96)^T
(2) P = 10(1.04)^T
(3) P = 10 + 10(0.04)^T
(4) P = 10(1.4)^T
Answer:
Step-by-step explanation:
The model for exponential growth/decay is
[tex]P(t)=a(b)^t[/tex] where a is the initial population and b is the growth/decay rate. Filling in the info you were given:
[tex]P(t)=10(1.04)^t[/tex]
Because this is a growth rate, we have 100% of the population and that population is growing by 4%, which is .04 in decimal form. If the population is not declining, we are adding to the 100% of the population we already have. That's why the growth rate is 1.04.
.96 means that the population is declining at 4% each year; and 1.4 means that the population is growing at 140% instead of the 104% that it is.
help me fast pleaseee
Answer:
A
Step-by-step explanation:
The answer is A. Answered by Gauthmath
HELP ME PLSSSSS I NEED HELP PLS PLS PLS ITS PYTHAGOREAN THEOREM
Using Pythagorean thereon
[tex]\\ \Large\sf\longmapsto P^2=H^2-B^2[/tex]
[tex]\\ \Large\sf\longmapsto P^2=9^2-6^2[/tex]
[tex]\\ \Large\sf\longmapsto P^2=81-36[/tex]
[tex]\\ \Large\sf\longmapsto P^2=45[/tex]
[tex]\\ \Large\sf\longmapsto P=\sqrt{45}[/tex]
[tex]\\ \Large\sf\longmapsto P=6.3ft[/tex]
will mark brainliest!!
picture included ^^^^
please and THANK YOU
^^!!
Answer:
shift the graph up 1 unit
Step-by-step explanation:
d is the vertical shift
+1 means we shift the graph up 1 unit
Victor had dozen boxes, with n number of water bottles in each box. After removing dozen bottles, there were 84 bottles. Find the number of bottles in each box.
Answer:
Number of bottles in each box = 8
Step-by-step explanation:
Given:
Number of boxes = 12 boxes
Number of bottle in each box = n
Number of bottle remove = 12
Number of bottle remain = 84
Find:
Number of bottles in each box.
Computation:
Total bottle = (Number of boxes)(Number of bottle in each bo)
Total bottle = 12n
12n = 12 + 84
12n = 96
n = 8
Number of bottles in each box = 8
Answer:
The number of bottles in each box is 8.
Step-by-step explanation:
Number of boxes = a dozen = 12
Number of bottles in each box = n
Total number of bottles = n x 12 = 12 n
12 bottles are removed
number of bottles
12 n - 12 = 84
12 n = 96
n = 8
So, the number of bottles in each box is 8.
Here is the histogram of a data distribution.
What is the shape of this distribution?
Answer:
Unimodal-Skewed
Step-by-step explanation:
A distribution is called unimodal if it has only one hump in the histogram.
A symmetric distribution is equally divided on both sides of the highest hump.
The given histogram has only one hump at 4 and as it is not symmetrically distributed, it is skewed.
So the correct answer is:
Unimodal-Skewed ..
evaluate the expression. check all possible sets that the solution may belong in. 40-5^2
Answer:
15
Step-by-step explanation:
following PEMDAS, we don't have () so we move on to exponents
5^2 is equal to 5 x 5 which is 25
40-25=15
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{40 - 5}\mathsf{^2}\\\\\\\large\textsf{5}\mathsf{^2}\\\large\textsf{= 5}\times\large\textsf{5}\\\large\textsf{= \bf 25}\\\\\\\large\textsf{= 40 - 25}\\\\\\\large\textsf{= \bf 15}\\\\\\\\\\\\\boxed{\boxed{\huge\textsf{Therefore your answer is: \bf 15}}}\huge\checkmark[/tex]
[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\textsf{Amphitrite1040:)}[/tex]
find the image of O(-1, -3) after two reflections, first in the line y = -2, and then in the line x = -2
Answer:
The image of point O after these reflections is (-3, -1)
Step-by-step explanation:
For a point (x, y) a reflection across the line y = a transforms the point to:
(x, a + (a - y))
and for a reflection across the line x = b, the new point will be:
(b + (b - x), y)
Then if we start with the point (-1, -3) and we do a reflection across the line y = -2
the new point is:
(-1, -2 + (-2 - (-3))
(-1, -2 + 1) = (-1, -1)
now we do a reflection across the line x = -2
Then the new point is:
(-2 + (-2 - (-1)), -1)
(-2 + (-2 + 1), -1)
(-2 - 1, -1)
(-3, -1)
The image of point O after these reflections is (-3, -1)
20 points lovelys <3
Answer:
A) 2 cm
Step-by-step explanation:
By definition, regular polygons have equal sides and angles. Therefore, each side of the regular hexagon must be equal. Since one side is marked as 2 cm, the length of PQ must also be 2 cm.
This year, a small business had a total revenue of $42,900 . If this is 35% less than their total revenue the previous year, what was their total revenue the previous year?
if this value 35% less than the total, we conclude that:
42,900 = 65%
1% = 660
100% = 66,000
if you want to check the value, just do 65% of 66000, which equals to 42,900
hope it helps :)
THIS IS TIMED! Find the equation of the graphed line.
On a coordinate plane, a line goes through (negative 6, 0) and (0, negative 7).
a.
y = negative 6 x minus 7
c.
y = negative StartFraction 6 Over 7 EndFraction x minus 6
b.
y = 6 x minus 7
d.
y = negative StartFraction 7 Over 6 EndFraction x minus 7
Please select the best answer from the choices provided
A
B
C
D
Answer:
D
Step-by-step explanation:
x/(-6)+y/(-7)=1
7x+6y=-42
7x+6y+42=0
y=(-7/6)x-7
Help with both plz :)
Step-by-step explanation:
Concept Required :-
BODMASBrackets , Of , Division , Multiplication , Addition , Subtraction .
Solution 9:-
We are here given ,
32 ÷ 10 - 8 ÷ 2 -3Putting brackets after and before 10 -8
32 ÷ ( 10 - 8 ) ÷ 2 - 3On simplifying,
32 ÷ 2 ÷ 2 - 3 16 ÷ 2 - 3 8 - 3 5Expression :- 32 ÷ (10 -8) ÷ 2 - 3
Solution 10 :-
We are given,
1/2 × 12 ÷ 2 - 2 + 11Putting brackets ,
1/2 × ( 12 ÷ 2 - 2 ) + 111/2 ( 6 - 2 ) + 111/2 × 4 + 112 + 1113Expression :- 1/2 × (12 ÷ 2 - 2 ) +11
Step-by-step explanation:
1. 32 ÷ 10 - 8 ÷ 2 - 3
32 ÷ 2 ÷ 2 - 3
16 ÷ 2 - 3
8 - 3
5
2.
½ × 12 + 2 - 2 + 11
6 + 2 - 2 + 11
19 - 2
17
Solve for 2. Round to the nearest tenth, if necessary.
B
X
A
7.9
154
Answer: <=
Submit Answer
attempt 1 out of 2
Answer:
x = 10.9
Step-by-step explanation:
Since this is a right triangle, we can us trig functions
tan theta = opp / adj
tan 54 = x / 7.9
7.9 tan 54 = x
x=10.87341
Rounding to the nearest tenth
x = 10.9
5th term of f(n)=3+2n
5th term of f(n)=3+2 5+_74+4-&;4-(4!
Step-by-step explanation:
5th term of f(n) = 3+ 2n
put n = 5
f(5) = 3 + 2 × 5
f(n) = 3+ 10
f(n) = 13
A farmer has an orchard that covers an area of 40 acres. He grows apples on 25 acres, peaches on 7 acres, nectarines on 5 acres, and plums on 3 acres. The fruit trees are equally distributed within the orchard. A tree is chosen at random. Rounded to the nearest tenth of a percent, what is the theoretical probability that the tree is not within the acres of apple trees
Answer:
37.5%
Step-by-step explanation:
Calculation to determine the theoretical probability that the tree is not within the acres of apple trees
Using this formula
P=(Number of all orchard acres - Apple acres)/(Total orchard acres)*100
Where,
P represent Probability
Let plug in the formula
P=(40 acres- 25 acres)/40 acres
P=15 acres/40 acres *100
P=3/8*100
P=.375*100
P=37.5%
Therefore the THEORETICAL PROBABILITY that the tree is not within the acres of apple trees is 37.5%
Answer:
the answer is 37.5
Step-by-step explanation:
it is
The van traveled 120 miles in 7 hours. How long would it take to travel 1400 miles at the same speed? (A) 5/3 hrs (B) 81 2/3 hrs (C) 49/6 hrs (D)24000 hr
Answer:
[tex]81\frac{2}{3}[/tex] hours
Step-by-step explanation:
Hi there!
1) Create a proportion
The van traveled 120 miles in 7 hoursThe van travels 1400 miles in x hours[tex]\frac{7h}{120mi}=\frac{x}{1400 mi}[/tex]
[tex]\frac{7}{120}=\frac{x}{1400}[/tex]
2) Solve for x
[tex]\frac{7}{120}=\frac{x}{1400}[/tex]
Multiply both sides by 1400
[tex]\frac{7}{120}*1400=\frac{x}{1400}*1400[/tex]
[tex]\frac{245}{3} =x[/tex]
[tex]\frac{245}{3} =x[/tex]
[tex]81\frac{2}{3} =x[/tex]
Therefore, it would take the van [tex]81\frac{2}{3}[/tex] hours to travel 1400 miles at the same speed.
I hope this helps!
