Answers
Answer:
n-35=40
n=75 (the amount she started with)
Step-by-step explanation:
Related Questions
Solve the following system.
y=(1)x2 + 2x - 1 and 3x-y=1
The solutions are
Jand
(remember to include the commas)
Answers
3x - y = 1, or y=3x-1
substitute
3x-1=(1/2)x^2+2x-1
0=(1/2)x^2-x
0=x(0.5x-1)
x=0,2
y=2+4-1=5
3(2)-1=5.
When x=2 y=5 (2,5) is one solution
when x=0, y=-1, (0,-1) is the other solution
Draw the image of ABC under a dilation whose center is P and scale factor is 1/3
Answers
A graph of the image of ABC under a dilation whose center is P and scale factor is 1/3 is shown in the image below.
What is dilation?In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric shape, but not its shape. This ultimately implies that, the size of the geometric shape would be increased (enlarged) or decreased (reduced) based on the scale factor applied.
In this exercise, we would use an online graphing calculator to plot the image of ABC after a dilation by a scale factor of 1/3 centered at P.
Based on the image (see attachment), we can logically deduce that each vertex is 1/3 times as far from center P as the original vertex and each segment is 1/3 times as long as the original:
AC = 6.7/3 = 2.2
AB = 12.4/3 = 4.1
CB = 12.7/3 = 4.2
Read more on dilation here: brainly.com/question/20482938
#SPJ1
what is the formula to calculate VAT percentage
Answers
Answer:
Take the gross amount of any sum (items you sell or buy) – that is, the total including any VAT – and divide it by 117.5, if the VAT rate is 17.5 per cent. (If the rate is different, add 100 to the VAT percentage rate and divide by that number.)
Answer:
divide by 117.5 if the rate different, add 100 to the percentage and divide by the number therefore multiply by 100 to get the total
Step-by-step explanation:
the formula to calculate vat percentage
Ben is 4 times as old as Ishaan. 6 years ago, Ben was 6 times as old as Ishaan.
How old is Ishaan now?
Answers
Answer:
Ishaan is currently 15 years old.
Step-by-step explanation:
Let B represent Ben's current age and I represent Ishann's current age.
Ben is four times as old as Ishaan. In other words:
[tex]B=4I[/tex]
Six years ago, Ben was six times as old as Ishaan. In other words:
[tex]B-6=6(I-6)[/tex]
Solve for I. Substitute:
[tex](4I)-6=6(I-6)[/tex]
Distribute:
[tex]4I-6=6I-36[/tex]
Subtract 4I from both sides and add 36 to both sides:
[tex]2I=30[/tex]
And divide both sides by two. Hence:
[tex]I=15[/tex]
Ishaan is currently 15 years old.
Answer:
Age of Ishaan = 15 years
Step-by-step explanation:
Let Ishaan's age = x years
Age of Ben = 4 * x = 4x years
6Years ago:
Age of Ishaan = x - 6
Age of Ben = 4x - 6
6 years ago, Ben was 6 times as old as Ishaan
So, Age of Ben = 6 * Ishaan's age
4x - 6 = 6 *(x-6)
4x - 6 = 6x - 36
Add 36 to both sides
4x - 6 + 36 = 6x
4x + 30 = 6x
Subtract '4x' from both sides
30 = 6x - 4x
30 = 2x
2x = 30
Divide both by 2 sides
x = 30/2
x = 15
The puppy needs to catch a train that is moving at 8km/hr. she is 100 meters away and running at 10km/hr. How far will the train have traveled before the puppy is able to jump on?
Answers
The rabbit will jump on the train after the train moves 0.4km
The given parameters are:
[tex]d = 100m[/tex] -- distance between the puppy and the train
[tex]s_1 = 8km/hr[/tex] -- the speed of the train
[tex]s_2 = 10km/hr[/tex] --- the puppy's speed
Required
The distance where the puppy catch up with the train
First, we calculate the relative speed (rs) of the puppy to the train
[tex]rs =s_2 - s_1[/tex]
[tex]rs =10km/hr - 8km/hr[/tex]
[tex]rs =2km/hr[/tex]
Calculate the time to catch up with the train using:
[tex]Time = \frac{Distance}{Speed}[/tex]
[tex]t = \frac{100m}{2km/hr}[/tex]
Convert km to m
[tex]t = \frac{100m}{2*1000m/hr}[/tex]
[tex]t = \frac{100m}{2000m/hr}[/tex]
[tex]t = 0.05hr[/tex]
Calculate the distance to catch up with the train using:
[tex]Distance = Speed * Time[/tex]
[tex]d= s_2* t[/tex] --- speed of the train multiplied by the time
So, we have:
[tex]d = 8km/hr * 0.05hr[/tex]
[tex]d = 8km * 0.05[/tex]
[tex]d = 0.4km[/tex]
Read more at:
https://brainly.com/question/14667411
in a group of 300 mice, 75% are male and 20% are albino. What is the greatest number of mice in the group that could be both female and not albino?
a) 45
b)60
c)75
d)225
Answers
Explanation:
C Out of the 300 mice, if 75% are male, 25% must be female, so translate: × 300 = 75 females. Eliminate D and E, because there are no more than 75 females of any sort. Because 20% of the mice are albino, and 25% of the mice are female, both groups are small enough not to overlap at all. There are 80% non-albino mice, so × 300 = 240 non-albino mice, so all 75 females could be non-albinos.
4 raised to power two minus 8u minus 9=0
Answers
Answer: u = [tex]\frac{7}{8}[/tex] or 0.875
Step-by-step explanation:
Let us convert this statement to a question
[tex]4^{2}[/tex]-8u-9 = 0
16-8u-9 = 0
-8u = 0+9-16
-8u = -7
u = -7 ÷ -8
u = [tex]\frac{7}{8}[/tex] or 0.875
not sure if this makes sense to you guys but if you can help that'd be great. 15 points(all i have left) due today. thank you!!
Answers
Answer:
The graph that have 2 lines is for Question 21 and the graph with three lines is for Question 22
Step-by-step explanation:
What is the graph of f SOMEONE help me please
Answers
Answer:
f(x) = 1/2x + 6
Step-by-step explanation:
So before we even look at the first given formula, let's use the second formula: f(x) = -5.
Plug this formula into the x:
0 <= -5 <= 7
Is this true? Is -5 greater than or equal to 0 and less than or equal to 7?
No, this is false.
So the formula, f(x) = -5, is not the graph of f.
That only leaves one possible option!
28.35 g in an ounce and 2.21 lb in a kilogram. convert 3 kilograms to ounces. Is conversion correct? Explain. please
Answers
Answer:
Whether her conversion is correct or not, you can just base it on the true answer. For this problem, we apply the technique of dimensional analysis. You can like units if they both appear on the numerator and the denominator side. The solution is as follows:
Mass in ounces = 3 kg * (1,000 g/ 1 kg) * (1 ounce/28.35 g) = 105.82 ounces
What is an equation of the line that is perpendicular to 2x+y=−4 and passes through the point (2, −8)?
Enter your equation in the box.
If you help me thank you so much <333
Answers
2x + y = -4
slope = -2
perpendicular slope = 1/2
new equation = x - 2y = x
(1) (2)= 2
(-2) (-8)=16
2+16 =18
new equation = x - 2y = 18
Dan invests £18790 into his bank account. He receives 5.9% per year simple interest. How
much will Dan have after 2 years? Give your answer to the nearest penny where appropriate.
Answers
Answer: £21007.22
Step-by-step explanation:
First, find the interest amount using the formula SI = (P × R × T) / 100.
SI = interest amount P = principle amount = £18790R = interest rate(in percentage) = 5.9T = time(in years) = 2SI = (P × R × T) / 100 = (18790 × 5.9 × 2)/100 = 221722/100 = £2217.22
The total amount = principle amount + interest amount
= £18790 + £2217.22 = £21007.22
The graph of g(x) is a translation of the function f(x)=x^2. The vertex of g(x) Is located 5units above and 7 units to the right of the vertex of f(x). Which equation represents g(x)
Answers
Step-by-step explanation:
The real part (red) and imaginary part (blue) of the Riemann zeta function along the critical line Re(s) = 1/2. The first non-trivial zeros can be seen at Im(s) = ±14.135, ±21.022 and ±25.011. The Riemann hypothesis, a famous conjecture, says that all non-trivial zeros of the zeta function lie along the critical line.
Can someone help me with this math homework please!
Answers
Answer:
0
Step-by-step explanation:
LN is an horizontal segment. it means that the line is parallel to x axis so its slope is 0
Megan has a piece of fabric which is a right triangular shape. The length of leg 1 is 4 m. The length of the other leg is twice the length of leg 1. What would be the length of the third side of the fabric?
8.94 m
7.21 m
6.93 m
4.47 m
Answers
Answer:
8.94 m
Step-by-step explanation:
Use the Pythagorean Theorum - [tex]a^2 + b^2 = c^2[/tex]. Use leg 1 as a, leg 2 as b, and the third side as c.
We know leg 1 is 4, and that leg 2 is twice as long as leg 1...
[tex](4)^2 + (4*2)^2 = c^2[/tex]
Now, we use the Order of Operations to find [tex]c^2[/tex]...
[tex]4^2+8^2=c^2\\16+64=c^2\\80=c^2[/tex]
Now, we find the square root of [tex]c^2[/tex] to find c...
[tex]\sqrt{80} =8.94[/tex]
So, the length of the third side is 8.94 m.
if i walk 9 hours at 5 miles an hour and fare have I walked in 9 hours i will mark brainiest
Answers
Answer:
45 miles is how far you walked in 9 hours
Step-by-step explanation:
5 miles per hour x 9 hours = 45 miles
Use the comparison test to determine if the series is convergent or divergent. 6/3+6/9+6/27+...
a. convergent
b. divergent
Answers
Hope this helps !!!!!!!!!!!!
the sum and the product of the zeros of the polynomial 2x²-x-6
Answers
Answer:
Sum = .5 Product = -3
Step-by-step explanation:
[tex]f(x) = 2 {x}^{2} - x - 6[/tex][tex]f(x) = (2x + 3)(x - 2)[/tex]Zeroes are [tex]x = \frac{ - 3}{2} \: and \: 2[/tex]Multiplies together the product is -3.-1.5+2=.5(6.6 x 10{-2}) (3.3 x 10{-4})
Answers
Answer:
17424
Step-by-step explanation:
(6.6 x 10(-2) ( 3.3 x 10(-4))
(6.6 x - 20) ( 3.3 x -40)
(-132) (-132)
=17424
Find the angles of 22 and 24 thanks
Answers
Answer:
22) 119
24) 15
Step-by-step explanation:
22) 61 + b = 180 <-- supplementary because on the same line
b = 119 <-- subtracted 61 from both sides
24) 87 + (6x + 3) = 180 <-- supplementary because on the same line
87 + 6x + 3 = 180 <-- take out parantheses
90 + 6x = 180 <-- add like terms
6x = 90 <-- subtracted 90 from both sides
x = 15 <-- solve for x by dividing 6 from both sides
the length of a rectangle is 8 cm longer than its width. find the dimensions of the rectangle if its area is 108cm
!!no links!!
Answers
Answer:
[tex]4+2\sqrt{31}\text{ by } -4+2\sqrt{31}[/tex]
Or about 15.136 centimeters by 7.136 centimeters.
Step-by-step explanation:
Recall that the area of a rectangle is given by:
[tex]\displaystyle A = w\ell[/tex]
Where w is the width and l is the length.
We are given that the length is 8 centimeters longer than the width. In other words:
[tex]\ell = w+8[/tex]
And we are also given that the total area is 108 square centimeters.
Thus, substitute:
[tex](108)=w(w+8)[/tex]
Solve for w. Distribute:
[tex]w^2+8w=108[/tex]
Subtract 108 from both sides:
[tex]w^2+8w-108=0[/tex]
Since the equation is not factorable, we can use the quadratic formula:
[tex]\displaystyle x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
In this case, a = 1, b = 8, and c = -108. Substitute and evaluate:
[tex]\displaystyle \begin{aligned} w&= \frac{-(8)\pm\sqrt{(8)^2-4(1)(-108)}}{2(1)} \\ \\ &=\frac{-8\pm\sqrt{496}}{2}\\ \\ &=\frac{-8\pm4\sqrt{31}}{2} \\ \\ &=-4 \pm 2\sqrt{31} \end{aligned}[/tex]
So, our two solutions are:
[tex]w=-4+2\sqrt{31} \approx 7.136 \text{ or } w=-4-2\sqrt{31}\approx -15.136[/tex]
Since width cannot be negative, we can eliminate the second solution.
And since the length is eight centimeters longer than the width, the length is:
[tex]\ell =(-4+2\sqrt{31})+8=4+2\sqrt{31}\approx 15.136[/tex]
So, the dimensions of the rectangle are about 15.136 cm by 7.136 cm.
Study the diagram of circle C, where two chords, AB¯¯¯¯¯¯¯¯ and DE¯¯¯¯¯¯¯¯, are equidistant from the center.
The diagram as described in the problem.
If AB=3x−7, and DE=5(x−5), what is the length of AB¯¯¯¯¯¯¯¯?
Enter the correct value.
Answers
Answer:
Step-by-step explanation:
If AB and DE are equidistant from the center, that means that they are the same length. We set the equations equal to one another and solve for x:
3x - 7 = 5(x - 5) and
3x - 7 = 5x - 25 and
18 = 2x so
x = 9. Now we sub that into the expression for AB (or DE since they're the same length):
3(9) - 7 = 20
Both AB and DE measure 20 units.
Yeah i don't know how to answer this....
Christine said that y =√16x is a horizontal stretch by a factor of 1/16. Amanda said that it is a vertical stretch by a factor of 4. Who is correct and why?
Answers
Answer:
y = [tex]\sqrt{16}[/tex] x
that is equal to y = 4x
[tex]\sqrt{16}[/tex] = 4
when graphing (x,y) the x is the horizontal value of the point (east west)
and the y in the vertical (north south) ....
if you have y = x it would be a 45 degree line that goes from the lower left to the upper right....
if you compare the red line the point 1,1 (y=x) versus 1,4 (y=4x) in the blue line you will see that it is "stretched" upward
Step-by-step explanation:
Zoe and Hanna share tips in the ratio 3:7
Last week Zoe received £24
How much did Hanna receive last week?
Answers
Answer:
56
Step-by-step explanation:
Zoe : hanna
3 7
Zoe got 24
3*8 = 24
so multiply each side by 8
Zoe : hanna
3*8 7*8
24 56
Hanna got 56
helpppp question on the image.
Answers
Answer:
10 the next day
Step-by-step explanation:
Using the least common multiple
3, 6, 8
The least common multiple is 24
24 hours from 10 the next day
The reliability coefficient of scores in an end of semester examination. If the variance of the exam score is 100. What is the standard error of measurement ?
Answers
Answer:
I Will explained you youuuuuu<uuuuuuuuuu
Hi anyone can help me do question 9&10.I will mark brainlest.
Answers
perimeter = 35
12+5+2+6+2+8= 35
area = 96
12(8)= 96
#10
perimeter = 12
5+4+1+2= 12
area = 20?
5(4)= 20
What type of line is PQ¯¯¯¯¯¯¯¯?
A. median
B. angle bisector
C. side bisector
D. altitude
Answers
Answer:
angle bisector
Step-by-step explanation:
Since the line divided the top angle into two equal pieces we call this an angle bisector.
How do you solve this problem?
Answers
9514 1404 393
Answer:
-19.2
Step-by-step explanation:
Fill in the given values and do the arithmetic.
[tex]\displaystyle x\ \blacksquare\ y=\frac{x}{y}-xy\\\\4\ \blacksquare\ 5=\frac{4}{5}-4\cdot5=0.8-20\\\\\boxed{4\ \blacksquare\ 5=-19.2}[/tex]
Anual is a word-processor operator. He makes N$12, 50 an hour. Determine his earnings for a week if he works for 48 hours.
Answers
Answer: $600
Step-by-step explanation:
Given
Anual makes [tex]\$12.50[/tex] an hour
For 48 hours, he makes
[tex]\Rightarrow 48\times 12.5\\\Rightarrow \$600[/tex]
Thus, he will make $600 for 48 hours
