Answer:
40%
Step-by-step explanation:
You can plug in 100 as the price of the radio to see how much the price decreased.
20% off of 100 will make it $80.
Then, with the 25% discount, it will be worth $60.
So, $40 was taken off, and 40÷ 100 is 0.4, so the overall percentage reduction was 40%
a card is drawn at random from a pack of 52 playing cards. find the probability tht the card drawn is neither an ace nor a king
Answer:
[tex]\frac{11}{13}[/tex]
Step-by-step explanation:
There are 4 aces and 4 kings.
[tex]\frac{8}{52} =\frac{2}{13}[/tex]
Now just subtract that from 1.
[tex]\frac{11}{13}[/tex]
Exactly 1 1/3 yard of ribbon is needed to make a bow. Which of the following lengths of ribbon could be used to make a bow with the least amount remaining?
The answer choice which could be used to make a bow with the least amount remaining is; 1 2/5 yards.
Which Length of ribbon renders the least remainder?It follows from the task content that the amount of ribbon remaining in each case can be evaluated as follows;
For 1 2/5 yards: 1 2/5 - 1 1/3 = 1/15. renders only 1/15 a yard to waste.
For 1 and 1/6 yards would render a waste of 1 1/6 yards since it is not possible to make a ribbon out of it.
1 2/10 yards would render a waste of 1 and 1/5 yards since it is not possible to make a ribbon out of it.
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What is the area of this triangle? Enter your answer
Answer:
6
Step-by-step explanation:
3 is the bottom the height is 4 because if you go to the top and count it 4 the 3x4 / 2= 6
Sarah is carrying out a series of experiments which involve using mcreasing amounts of a chemical. In the
first experiment she uses 6g of the chenucal and in the second experiment she uses 7.8 g of the chemical
( Given that the amounts of the chemical used form an anthmetic progression find the total amount of
chemical used in the fust 30 experiments
() instead it is given that the amounts of the chemical used for a geometric progression Sarah has a
total of 1800 g of the chemcal avadlable show that the greatest muumber of experiments possible.
Satisfies the inequality
and use logarithms to calculate the sale of N
Sarah is carrying out a series of experiments which involve using increasing amounts of a chemical. In the first experiment she uses 6g of the chemical and in the second experiment she uses 7.8 g of the chemical
(i)Given that the amounts of the chemical used form an arithmetic progression find the total amount of chemical used in the first 30 experiments
(ii)Instead it is given that the amounts of the chemical used for a geometric progression. Sarah has a total of 1800 g of the chemical available. Show that the greatest number of experiments possible satisfies the inequality: [tex] 1.3^N \leq 91[/tex] and use logarithms to calculate the value of N.
Answer:
(a)963 grams
(b)N=17
Step-by-step explanation:
(a)
In the first experiment, Sarah uses 6g of the chemical
In the second experiment, Sarah uses 7.8g of the chemical
If this forms an arithmetic progression:
First term, a =6g
Common difference. d= 7.8 -6 =1.8 g
Therefore:
Total Amount of chemical used in the first 30 experiments
[tex]S_n=\dfrac{n}{2}[2a+(n-1)d] \\S_{30}=\dfrac{30}{2}[2*6+(30-1)1.8] \\=15[12+29*1.8]\\=15[12+52.2]\\=15*64.2\\=963$ grams[/tex]
Sarah uses 963 grams in the first 30 experiments.
(b) If the increase is geometric
First Term, a=6g
Common ratio, r =7.8/6 =1.3
Sarah has a total of 1800 g
Therefore:
Sum of a geometric sequence
[tex]S_n=\dfrac{a(r^N-1)}{r-1} \\1800=\dfrac{6(1.3^N-1)}{1.3-1} \\1800=\dfrac{6(1.3^N-1)}{0.3}\\$Cross multiply\\1800*0.3=6(1.3^N-1)\\6(1.3^N-1)=540\\1.3^N-1=540\div 6\\1.3^N-1=90\\1.3^N=90+1\\1.3^N=91[/tex]
Therefore, the greatest possible number of experiments satisfies the inequality
[tex] 1.3^N \leq 91[/tex]
Next, we solve for N
Changing [tex] 1.3^N \leq 91[/tex] to logarithm form, we obtain:
[tex] N \leq log_{1.3}91\\N \leq \dfrac{log 91}{log 1.3}\\ N \leq 17.19[/tex]
Therefore, the number of possible experiments, N=17
determine the volume of a sphere with a diameter of 1.30m in maths
Answer:
1.15 m³
Step-by-step explanation:
i hope its correct and i hope its helpful
Step-by-step explanation:
hey can yuh show work by step by step...since its hard plzz
I need help ASAP!!!!
Answer:
look on symbolab got my answer from there'
Step-by-step explanation:
What is 13 out of 25 as a decimal?
Plzzz help
Answer:
0.52
Step-by-step explanation:
0.52 is a decimal and 52/100 or 52% is the percentage for 13/25.
hope this is helpful:)
In a competition, 5 people can eat 20 steamed buns in 3 minutes 20 seconds.
Assuming that everyone consumes steamed buns at the same rate and that
the rate of consumption remains constant throughout the competition, find the
number of steamed buns 10 people can eat in 5 minutes.
Answer:
60 buns
Step-by-step explanation:
Assuming that the 5 people eat 20 steamed buns between them and not each, that is an average of 4 buns per person. this means that they eat one bun every 50 seconds. therefore, in 5 minutes one person can eat a total of 6 buns, meaning 10 people can eat 60.
How many cubes are needed to build the base of this structure?
A.6
B.3
C.5
D.4
Answer: C.5
The answer is 5.
Why is there a twenty character minimum on brainly? what a stupid idea
I agree with the other person. The answer is C 5 which can be shown in the diagram below.
The red outlines mark these blocks. Note that the upper two red blocks in the far right portion are underneath a set of blocks that are on the second story of this "building" of sorts.
find the area of a rectangle with a width of 16 centimeters and a length of 55 centimeters
Answer:
The area of the rectangle is 880 cm
Step-by-step explanation:
Lenght = 55cm
Breadth/width=16cm
Area of rectangle= lenght×breadth
Area= 55×16
Area= 880
Hence, area of rectangle is 880cm
P.S - Mark me as the brainliest :D
Find the missing factor
Answer:
The missing factor is (9s+1)
Step-by-step explanation:
The missing factor is (9s+1) because of the following
(9s^2 + s) + (18s+2)
If we factor out s from 9s^2+s, we get s(9s+1).
If we factor out 2 from 18s+2, we get 2(9s+1)
putting these together, we get s(9s+1) + 2(9s+1). Factoring out the common term of 9s+1, we get (9s+1)(s+2). therefore, the missing factor is 9s+1
Determining a Number of Solutions
Quick
Check
Determine whether the systems have one solution, no solution, or infinitely many solutions.
3x - 2y = 3; 6x - 4y = 1
One Solution
No Solution
Infinitely Many Solutions
3x - 5y = 8,5x - 3y = 2
3x + 2y = 8; 4x + 3y = 1
3x - y = 3; 2x - 4y = 2
3x - 4y = 2, 6x - y = 1
Intro
Done
Answer:
No Solution
Step-by-step explanation:
For one solution;
it will be consistent and independent ( example, x = 1 and y = 2)
For no solution;
it will be inconsistent and independent ( example, 0 = 2)
For many solution;
it will be consistent and dependent ( example, 1 = 1, 2 = 2, y = y, x = x)
Given;
3x - 2y = 3 -------------- equation (1)
6x - 4y = 1 --------------- equation (2)
6: 18x - 12y = 18 -------------equation (3)
3: 18x - 12y = 3 --------------- equation (4), subtract (4) from (3)
--------------------------------------------
0 - 0 = 15
-----------------------------------------------
0 = 15
The solution is inconsistent and independent, because zero (0) cannot be equal to 15
Thus, the system has no solution
Answer:
ONE SOLUTION
3x-5y=8; 5x-3y=2
3x+2y=8; 4x+3y=1
NO SOLUTION
3x-4y=2; 6x-8y=1
3x-2y=3; 6x-4y=1
INFINITELY MANY SOLUTIONS
3x-6y=3; 2x-4y=2
Step-by-step explanation:
i got this right on edge
A number is selected from the set (1, 2, 3, 5, 15, 21, 29, 38, 500). If equal elemental probabilities are assigned, what is
the probability that the number chosen is either less than 29 or odd?
Answer:
[tex]\frac{7}{9}[/tex] OR 77.78%
Step-by-step explanation:
So, we first need to find out how many numbers fit the "less than 29 or odd" group.
This would be: 1, 2, 3, 5, 15, 21, and 29, which is a total of 7 numbers.
Next, we figure out the total amount of numbers in the population.
This would be: 1, 2, 3, 5, 15, 21, 29, 38, and 500, which is a total of 9 numbers.
Finally, we put the first number (7) over the total (9) = [tex]\frac{7}{9}[/tex]
[tex]\frac{7}{9}[/tex] is now able to be written in a percentage, if you need.
The probability is [tex]\frac{7}{9}[/tex] OR 77.78%
The science club is experiencing a growth in membership. On average, they are
seeing 2 new members sign up each week. If they started with 10 members which
function, S(x), represents the number of members in the science club after x weeks?
Answer:
S(x)= 10+2^x
Step-by-step explanation:
The correct function which represents the number of members in the science club after x weeks is,
S (x) = 10 + 2ˣ
We have,
The science club is experiencing a growth in membership.
On average, they are seeing 2 new members sign up each week.
Here, they started with 10 members.
Hence, The function S (x) which represents the number of members in the science club after x weeks is,
S (x) = 10 + 2ˣ
Where, x is number of weeks.
Therefore, The function is,
S (x) = 10 + 2ˣ
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David drove a distance (d) of 187 km, correct to 3 significant figures.
He used 28 litres of petrol (p), correct to 2 significant figures.
The petrol consumption (c) of a car, in km per litre, is given by the formula
C=
d
р
By considering bounds, work out the value of c for David's journey
to a suitable degree of accuracy.
You must show all your working and give a reason for your final answer.
Answer:
7
Step-by-step explanation:
LB of d = 186.5
UB of d = 187.5
LB of p = 27.5
UB of p = 28.5
186.5/28.5 = 6.54
187.5/27.5 = 8.81
The answer is 7 since both bounds round up to 7.
The value of c for the David journey is 7.
Calculation of the value of c:Since David drove a distance (d) of 187 km
So here the 3 significant figures should be
LB of d = 186.5
UB of d = 187.5
And,
LB of p = 27.5
UB of p = 28.5
Now the average should be
[tex]186.5\div 28.5[/tex] = 6.54
And,
[tex]187.5\div 27.5[/tex] = 8.81
So, The value of c for the David journey is 7.
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You are given the steps for constructing the bisector of an angle using a compass and a straightedge. Arrange the steps in the correct sequence
Step-by-step explanation:
position your compass at point A and using the same distance mark arcs on line AB(mark the point it meets the line D)and AC(mark the meeting point of the arc and the line E).Place your compass at D and draw an arc at the middle of the angle,using the same measurements position your compass at point E and draw an arc.Where the two arcs meet label F using a ruler draw a straight line from F to meet point A.
Note;the width of the compass when making the arcs should be the same always
Which sum does the model below represent?
+
+
+
OOOOO
a. 4+ (-7) = -3
b. 4 + 7 = 11
c. 8+(-3) = 4
d. 11+ (-4) = -3
What is the equation for ⨀C?
Answer:
A
Step-by-step explanation:
r^2 = (x - k)^2 + (y - h)^2
Work Shown:
(h,k) = (2,-2) is the center. So h = 2 and k = -2
r = 4 is the radius. We go 4 units from the center C to point P
Therefore,
(x-h)^2 + (y-k)^2 = r^2
(x-2)^2 + (y-(-2))^2 = 4^2
(x-2)^2 + (y+2)^2 = 16
Point B has coordinates (3,2). The x-coordinate of point A is negative 9. The distance between point A and point B is 15 units. What are the possible coordinates of point A?
Answer:
(-9,9) or (-9,-7) are the possible coordinates
Step-by-step explanation:
We can use the formula for the distance between two points to get this
Mathematically, this can be;
d = √(x2-x1)^2 + (y2-y1)^2
Now let our point A be (x1,y1) = (-9,n)
let’s say y1 is n for now
For point B, we have (x2,y2) = (3,2)
and our d is 15 units
Inputing the values, we have
15^2 = (3+9)^2 + (2-n)^2
225 = 144 + (2-n)^2
225-144 = (2-n)^2
(2-n)^2 = 81
(2-n) = √(81)
2-n = -9
or 2-n = 9
n = 11 or n = -7
Now the possible coordinate values of point A are;
(-9,9) or (-9,-7)
Answer:
Step-by-step explanation:The distance between points is given by the following equation:
d = root ((x2-x1) ^ 2 + (y2-y1) ^ 2)
Substituting we have:
15 = root ((- 9 -3) ^ 2 + (a-2) ^ 2)
We clear the value of a:
(15) ^ 2 = (root ((- 12) ^ 2 + (a-2) ^ 2)) ^ 2
225 = (- 12) ^ 2 + (a-2) ^ 2)
Rewriting:
225 = 144 + (a-2) ^ 2
225-144 = (a-2) ^ 2
81 = (a-2) ^ 2
a-2 = +/- root (81)
a = +/- 9 + 2
The possible values are:
a1 = 9 + 2 = 11
a2 = -9 + 2 = -7
Then, the possible coordinates of point a are:
(-11, 11)
(-11, -7)
Answer:
the possible coordinates of point a are:
(-11, 11)
(-11, -7)
Explain the difference between perimeter and area. What do they measure? What types of units are they measured in? NEED ANSWER STAT!!!!!
A growth medium is inoculated with 1,000 bacteria, which grow at a rate of 15% each day. What is the population of the
culture 6 days after inoculation?
Answer:
therefore the population of the culture is 2313
which is the right answer because i am in the middle of two and can not dicide which to chose
Answer:
XZ
Step-by-step explanation:
Line segments are straight lines, not curves.
The only line is XZ, the rest are arcs
Answer:
Step-by-step explanation:
I believe that it’s yz
What is the measure of < B, in degrees?
Answer:
B. 32°
Step-by-step explanation:
Since two of the sides are 10 in length, then we can infer that ∠A and ∠C are congruent. So, both equal 74°. You add 74 + 74 + x = 180, x would equal 32°.
Answer:
B
Step-by-step explanation:
sum of angle in triangle is 180
and since its isosceles triangle, it means <C will be same with <A
so we know that A + C = 148.
so the value of B will be like this
B = 180° - (A+C)° = 180 - 148 = 32°
town B is 40 km due north of town a what is the bearing of a from B
Answer:
180°
Step-by-step explanation:
In bearing the protractor is placed in the North-South direction(eastside) thus directly north is on a bearing of 0°.After you mark the point B. A will be directly south which is on a bearing of 180°
1)If the coefficient of anyone of the variables is zero, what will be the nature if the equation? 2)What is a solution of a system of equations?
Answer:
1) If the coefficent of any variable is zero then the answer of the variable is 0.
2) There are two answers in a system of equations.
Mehmut is 4 times as old as his brother, but
next year he will be only 3 times as old. Find
Mehmut's age now?
ALICIA CONYERS
7:20 AM
Answer:
Mehmut is 8 years old.
Step-by-step explanation:
From the statement we can get the following information, let M be Mehmut's age and b brother's age:
M = 4 * b
M + 1 = 3 * (b + 1)
We replace the first equation in the second and we are left with:
4 * b + 1 = 3 * b + 3
4 * b - 3 * b = 3 - 1
b = 2
Now, we replace to calculate M:
M = 4 * b
M = 4 * 2
M = 8
Mehmut is 8 years old.
a family of 8 has 3 of them being males what proportion of the family is female
Answer: not very sure but i think that may be 5
Step-by-step explanation:
someone do this thanks
Answer:
2
Step-by-step explanation:
12-2= m(2+3)
m= 10/5=2
b) Find the value of 2a2 + 5b2 when a = -6 and b = 2
Answer:
-4
Step-by-step explanation:
2a2+5a2
2(-6)2=-24
5(2)2=20
-24+20=-4
Answer: -4
Step-by-step explanation:
(2x-6×2)(5×2×2)
-24+20
-4
Inscribed Angles - Find the value of x - WILL GIVE BRAINLIEST!
[tex]answer = 136 °\\ solution \\ x + 44 = 180(opposite \: angles \: of \: \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: a \: cyclic \: quadrilateral \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: are \: supplementary) \\ or \: x = 180 - 44 \\ x = 136° \\ hope \: it \: helps[/tex]