The cost of 1 purse will be £14.
And, The cost of 1 watch will be £13.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The cost of 1 purse and 1 watch is £27.
The cost of 2 purses and 1 watch is £41.
Now,
Let the cost of 1 purse = x
And, The cost of watch = y
So, We can formulate;
⇒ x + y = £27 ......(i)
And, The cost of 2 purses and 1 watch is £41.
So, We can formulate;
⇒ 2x + y = £41 ..........(ii)
Subtract (i) from (ii), we get;
⇒ 2x + y - x - y = 41 - 27
⇒ x = £14
And, From equation (i), we get;
⇒ x + y = £27
⇒ £14 + y = £27
⇒ y = £27 - £14
⇒ y = £13
Thus, The cost of 1 purse will be £14.
And, The cost of 1 watch will be £13.
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Solve the system of equations - 2x - 2y = -24 and - 3.x – 2y = -33 by
combining the equations.
=-24)
F
| 22 -24
3x – 2y =-33)
-2 -2 =-24
-3x – 2y = -33
02 +0y=
Answer:
x = 9, y = 3
Step-by-step explanation:
-2x-2y=-24 (EQ 1)
-3x-2y=-33 (EQ 2)
Combining terms we means we either add or subtract the equations in order to eliminate a x or y terms. Simply choose a equation and change it to it's opposite (ex. -3 becomes 3.)
Let's try swapping EQ 1
2x + 2y = 24
(Simply add similar variables and numbers like you would a addition problem.)
-3x-2y=-33
-x = -9
x = 9
Now plug that into one of your equations to get y.
-2(9) -2y = -24
-18 -2y = -24
(Add 18 to both sides.)
-2y = -6
y = 3
An isosceles triangle has an angle that measures 120°. What measures are possible for the other two angles? Choose all that apply.
1) 10 Degrees
2) 30 Degrees
3) 120 Degrees
4) 70 Degrees
Show all your working out.
Simplify (2m^4)^3
The expression (2m^4)^3is an algebraic expression, and the simplified value is 8m^12
How to simplify the algebraic expression?The expression is given as:
(2m^4)^3
Expand the bracket
(2m^4)^3 = 2^3 * m^(4 * 3)
Evaluate the exponents
(2m^4)^3 = 8 * m^12
Evaluate the product
(2m^4)^3 = 8m^12
Hence, the simplified value is 8m^12
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find the slope of the line passing through the points (4,-6) and (3, -9)
btw the answer will be a fraction
Answer:
3/1 is the slope.
Step-by-step explanation:
Slope formula: y2 - y1/x2 - 1
Plugging in the given values, we get:
-9 - (-6)/3-4
-3/-1
Two negatives cancel each other out, so:
3/1 is the slope.
A box is shaped like an octagonal prism. Here is what the base of the prism looks like. I already got question one solved, but question two is If the volume of the box is 123in cubed, what is the height of the box?
Answer:
287(inches)³
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You are buying bags of flour and bags of sugar for a bakery. You must buy three times as many bags of sugar as there is bags of flour. Also, you are on a budget of $720. Of flour costs $6 per bag and sugar costs $4 per bag, how many bags of flour and how many bags of sugar can you buy
The number of bags of flour would be 40.
And, the number of bags of sugar would be 120.
Given that,
You must buy three times as many bags of sugar as there are bags of flour.
And, you are on a budget of $720. Flour costs $6 per bag and sugar costs $4 per bag.
Let us assume that,
The number of bags of flour = x
And, the number of bags of sugar = y
Hence, we get;
y = 3x .. (i)
And, 6x + 4y = 720 .. (ii)
Substitute x = 3y in (ii);
6x + 4 (3x) = 720
6x + 12x = 720
18x = 720
x = 720/18
x = 40
From (i);
y = 3 × 40
y = 120
Thus, The number of bags of flour = 40
And, the number of bags of sugar = 120
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From a set of whole numbers from 1 to 32, what is the probability of randomly choosing a number either divisible by 5 or divisible by 3
The probability of randomly choosing a number either divisible by 5 or divisible by 3 is 1/2.
What is the probability?
Probability determines the odds that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
Numbers between 1 - 32 that are divisible by 3 = 3, 6, 9, 12, 15, 18, 21, 24, 27, 30Total number = 10 Numbers between 1 - 32 that are divisible by 5 = 5, 10, 15, 20, 25, 30Total number = 6Probability of randomly choosing a number either divisible by 5 or divisible by 3 = (numbers divisible by 3 / total number) + (numbers divisible by 5 / total number)
10/32 + 6/32 = 16/32= 1/2
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Answer:
7/16
Step-by-step explanation:
{7x0.1]+[2x100]+[3x1000]+[4 x 1]+[5x0.01] as a decimal
Please Answer
Answer:
Step-by-step explanation:
7*.01= .7
2*100=200
3*1000=3000
4*1=4
5*.01=.05
.7+200+3000+4+.05=3204.75
10. A sphere has a volume of 7,234.56 units?. Using 3.14
for pi, find the radius of the sphere. Record your answer
on the grid.
The radius of the sphere has a volume of 7,234.56 units^3 is 1728 units.
We have the sphere has a volume of 7,234.56units^3
V=7,234.56units^3
What is the formula for the volume of a sphere?
[tex]V=(4/3)(pi)(r^3)[/tex]
Where r is the radius.
Solving this for r^3, we get
[tex]r^3=\frac{V}{(4/3)(pi)}[/tex]
[tex]r^3=\frac{V}{(4/3)(3.14)}[/tex]
[tex]r^3=\frac{7,234.56}{4.19}[/tex]
[tex]r=1728[/tex]
Therefore we get the radius of the sphere is r = 1728 units
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Need help on this question
A salesperson sells $2100 in merchandise and earns a commission of $273, What is the commission rate?
if we take 2100 to be the 100%, what is 273 off of it in percentage?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 2100 & 100\\ 273& x \end{array} \implies \cfrac{2100}{273}=\cfrac{100}{x}\implies \cfrac{100}{13}=\cfrac{100}{x} \\\\\\ 100x=1300\implies x=\cfrac{1300}{100}\implies x=13[/tex]
6. We want to build the smallest cube possible using bricks with dimensions 8 cm - 12 cm 20 cm. How many bricks do we need?
Answer:
1200
Step-by-step explanation:
We’ll need a number that is evenly dividable by all three values: 8,12 & 15. We can develop the generic common multiple by multiplying all three numbers and get 1440. But is that the smallest common multiple? The quick and dirty way to factor the number is to divide it by it’s various elements and see what works. In this case 1440/12=120 which is the smallest common multiple of the three numbers. The smallest length is therefore 120.
In order to find how many bricks just divide (120x120x120)/(8x12x15)=1200 bricks
What is the volume of a cylinder with a base of 24 meters and a height of 6 meters
Answer:
Volume = 2714.34
Step-by-step explanation:
This is answer because the formula to finding cylinder volume is: [tex]\pi[/tex][tex]r^{2}[/tex]h
Radius = [tex]\frac{Diameter or Base}{2}[/tex]
Radius = 12
12 squared = 144
144*6 = 864
864[tex]\pi[/tex] = 2714.34 (rounded)
The area of a rectangle is 44 square units. Its length measures 11 units. Find the
length of its diagonal. Round to the nearest tenth of a unit.
Answer:
about 11.7 units
Step-by-step explanation:
[tex]11w = 44[/tex]
[tex]w = 4[/tex]
[tex] \sqrt{ {11}^{2} + {4}^{2} } = \sqrt{121 + 16} = \sqrt{137} = 11.705[/tex]
A 95 % confidence interval for the proportion of democrat voters in the State of Florida based on a poll is (0.34, 0.43). Based on this confidence interval, is it reasonable to claim that less than 45 % of Floridian voters are democrats
Reason:
The confidence interval for the population proportion p is (0.34, 0.43)
This is equivalent to saying 0.34 < p < 0.43
We're 95% confident p is somewhere between 0.34 and 0.43
Both of these endpoints are smaller than 0.45, meaning that all of the proportions p in the interval are smaller than 0.45
So it's fairly reasonable to assume that less than 45% of the Floridian voters are democrats (since it seems to be between 34% and 43%). Keep in mind that there's always a margin of error with statistics, so we cannot say this with 100% certainty.
Yes, it is reasonable to claim that less than 45 % of Floridian voters are Democrats.
How to calculate a confidence interval for the population mean for a small sample?If the sample size is given to be n < 30, then for finding the confidence interval for the mean of the population from this small sample, we use a t-statistic.
Let the sample mean given as[tex]\overline{x}[/tex] and
The sample standard deviation s, and
The sample size = n, and
The level of significance = [tex]\alpha[/tex]
Then, we get the confidence interval in between the limits
[tex]\overline{x} \pm t_{\alpha/2}\times \dfrac{s}{\sqrt{n}}[/tex]
where, [tex]t_{\alpha/2}[/tex] is the critical value of 't' that can be found online or from tabulated values of critical value for a specific level of significance and degree of freedom n - 1.
The confidence interval for the population proportion p is given as (0.34, 0.43)
This is equivalent to 0.34 < p < 0.43
We're 95% confident that p is somewhere between 0.34 and 0.43
Both of these endpoints are smaller than 0.45, seems that all of the proportions p in the interval are smaller than 0.45
So it's fairly reasonable to assume that less than 45% of the Floridian voters are Democrats. So there's always a margin of error with statistics, so we cannot say this with 100% certainty.
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on monday lexi rode 3 miles on a bike on tuesday she rode 3 times more than she did monday on wednesday she rode an additional 4 miles
Answer:
Lexi rode a total of 13 miles in 3 days.
Step-by-step explanation:
3x3+4=13
Answer: The other answer is wrong it Lexi road 16 miles and not 13
16 is rigth
Use the Distributive Property to solve: 4(x + 2) = 32
Answer:
The value of x = 6
Step-by-step explanation:
=> 4(x + 2) = 32
=> 4x + 8 = 32
=> 4x = 32 - 8
=> 4x = 24
=> x = 24/4
=> x = 6
Solve for x.
X=?
5x-16 x+10
Answer:
The answer is x= 31
Step-by-step explanation:
(5x-16)+ (x+10)= 180 (Linear Pair)
Now, open the brackets
5x-16+x+10= 180
Arrange the like terms together
5x+x-16+10= 180
=> 6x-6= 180
=> 6x= 180+6
=> 6x= 186
=> x= 186/6 = 31
∴x= 31
Hope it helps!!
Solve Me Mobiles puzzle #20 I need help please I'll give 36 points. I just need help trying to solve this puzzle!!!!
Answer:
Pink Trapezoid = 15
Green Cresent = 11
Step-by-step explanation:
The total weight of the mobile is 30.
Because the mobile is evenly balanced between both sides, and we know the diamonds weigh 2 each, we can use simple math tofind the values of the other shapes.
So the total weight (30) divided by the 2 sides = 15 on each side.
This means the pink trapezoid weighs 15 and the rigt side weighs 15.
So 15 - 2 - 2 = 11
So the green Crescent weighs 11.
Can someone please give me the (Answers) to this? ... please ...
I need help….
Answer:
I just did for your previous posting.
Please help super fast I will give brainliest
Answer: hii
1 is the only correct expression.
Step-by-step explanation:
Anything raised to 0 is 1.
Hopefully this helps you
- Matthew <3
Answer: A, B, C, D
All four answers are to be checked off
Explanation:
Anything of the form [tex]x^0[/tex] will be equal to 1, whenever x is nonzero.
So [tex]5^0 = 1[/tex]
All of the answer choices mentioned simplify to 1. Dividing any nonzero value over itself yields 1, so that explains A and B.
Choice C should be fairly obvious, and choice D there isn't any simplification needed.
rewrite 20(1/5u-3/4) without parentheses
Answer:
4u-15 is your answer
Step-by-step explanation:
20(1/5u-3/4)
20/5u-60/4
4u-15
Lets solve:
⇒20(1/5u-3/4)
Divide by 20 on each side
⇒20/5u-60/4
Solve the problems
---------------------------------------
⇒4u-15
Final answer: 4u-15
hope this helps :)
What is the perimeter? If necessary, round to the nearest tenth.
Answer:
180
Step-by-step explanation:
a^2 + b^2 = c^2
(18^2)+(80^2)=6724
square root of 6724 is 82
82+18+80 = 180
The area of a square in square feet is represented by z² + 8z + 16.
Find an expression for a side length of
the square.
Find the perimeter of the square when z=12.
Answer:
Side length: z + 4
Perimeter: 64
Step-by-step explanation:
Hello!
Since the area of a square is the square of the sde length,
using the special binomial product formula: (a+b)² = a² + 2ab + b²:
z² + 8z + 16(z + 4)²The side length of the square is (z+4)².
The perimeter is 4(z + 4), where z is 12:
4(12 + 4)4(16)64The side length is z + 4, the perimeter is 64
can someone please help me work out this question i really don't understand
Answer:
108 cm^2
Step-by-step explanation:
rectangle + 2 triangle = total area
L x W + 2 * 1/2 base * height = total area
(5x12) + 2 * 1/2 * 12 * 4 = total area
60 + 48 = 108 cm^2
Answer:
108 cm²
Step-by-step explanation:
To do:
1. find area of rectangle 2. find area of triangles 3. add them together
area of a rectangle = bxh = 5x12 = 60
area of triangle = (bxh)/2 = (12x4)/2 = 24
60+24+24=108
I need help asp pleaseee!!!
Answer:
Option B, [tex]396\ units^2[/tex]
Step-by-step explanation:
Step 1: Determine the area of the bottom
[tex]A = l * w[/tex]
[tex]A = 12\ units * 8\ units[/tex]
[tex]A = 96\ units^2[/tex]
Step 2: Determine the area of the back
[tex]A = l * w[/tex]
[tex]A = 9\ units * 8\ units[/tex]
[tex]A = 72\ units^2[/tex]
Step 3: Determine the hypotenuse
Pythagorean theorem → [tex]a^2 + b^2 = c^2[/tex]
[tex]12^2 + 9^2 = c^2\\[/tex]
[tex]144 + 81 = c^2[/tex]
[tex]225 = c^2[/tex]
[tex]\sqrt{225} = \sqrt{c^2}[/tex]
[tex]15 = c[/tex]
Step 4: Determine the area of the top
[tex]A = l * w[/tex]
[tex]A = 15\ units * 8\ units[/tex]
[tex]A = 120\ units^2[/tex]
Step 5: Determine the area of the triangles
[tex]A = \frac{h\ *\ b}{2}[/tex]
[tex]A = \frac{9\ units\ *\ 12\ units}{2}[/tex]
[tex]A = \frac{108\ units^2}{2}[/tex]
[tex]A = 54\ units^2[/tex]
Step 6: Determine the surface area
[tex]96\ units^2 + 72\ units^2 + 120\ units^2 + 2(54\ units^2)[/tex]
[tex]396\ units^2[/tex]
Answer: Option B, [tex]396\ units^2[/tex]
A computer is programmed to generate a sequence of three digits, where each digit is either 0 or 1, and each of these is equally likely to occur. construct a sample space that shows all possible three-digit sequences of 0s and 1s and then find the probability that a sequence will contain exactly one 0. a. 000, 001, 010, 011, 100, 101, 110, 111; the probability is startfraction 7 over 8 endfraction. b. 001, 011, 101, 111; the probability is startfraction 2 over 8 endfraction. c. 000, 010, 011, 101, 111; the probability is startfraction 2 over 8 endfraction = one-fourth. d. 000, 001, 010, 011, 100, 101, 110, 111; the probability is startfraction 3 over 8 endfraction.
The probability that a sequence will contain exactly one 0 is 3/8.
What is probability?
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1,
We should consider sequences of three digits, where each digit is either 0 or 1. A sequence has three places .
where each place has two possibilities, i.e., 0 or 1, so, for the multiplication rule
we know that the sample space will have (2)(2)(2) = 8 sample points.
Specifically, the sample space is
S = {111, 110, 101, 011, 100, 010, 001, 000},
There are three sequences with exactly one 0.
Therefore the probability that a sequence will contain exactly one 0 is 3/8.
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In two or more complete sentences, explain how to solve the cube root equation, 3_/x+1 -2 = 0.
Answer:
You do the thing, then the other thing than BAM! An answer!
Step-by-step explanation:
POINTS
Write an equation in
slope-intercept form given two
points.
(2,21) and (4,42)
[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{21})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{42}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{42}-\stackrel{y1}{21}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{2}}}\implies \cfrac{21}{2}[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{21}=\stackrel{m}{\cfrac{21}{2}}(x-\stackrel{x_1}{2}) \\\\\\ y-21=\cfrac{21}{2}x-21\implies y=\cfrac{21}{2}x[/tex]
Help, please!!!
Simplify. (4/9)^2=
Answer:
Exact form: [tex]\frac{16}{81}[/tex]
Decimal form: 0.1975308