Answer:
(1/9)^2 x 1/3
Step-by-step explanation:
1/243
=> 1 / 3 x 3 x 3 x 3 x 3
=> 1 / 9 x 9 x 3
=> (1/9)^2 x 1/3
what is the multiple of 13
Answer:
1 and 13 itself
hope this help you
X and Y are in partnership with capital contributions of $50000 and $30000 respectively. The partnership agreement provides that profits are to be shared in proportion to capital contributions and each partner is entitled to 10% interest on capital. Profit for the year was $37000. What was the total amount credited to Y's current account at the end of the year? A $10875 B $13875 C $18125 D $23125
Answer: $13875
Step-by-step explanation:
The interest in capital for X will be:
= 10% × $50000
= $5000
The interest in capital for Y will be:
= 10% × $30000
= $3000
The total amount credited to Y's current account will be:
= 3000/(3000 + 5000) × $37000
= 3/8 × $37000
= $13875
The total amount credited to Y's current account at the end of the year will be $13875
Victoria's favorite cookie recipe uses 170170170 grams of butter for every 250250250 grams of flour. Victoria's daughter made cookies using 340340340 grams of butter for every 400400400 grams of flour. What will Victoria think of her daughter's cookies?
Answer:
Step-by-step explanation:
Victoria used : 170 g of butter for 250 g of flour.
So, 1 g of flour requires = 170/250 g of butter = 0.68 g of butter.
Victoria's daughter used: 340 g butter for 400 g flour
So, 1 g of flour requires = 340/400 g of butter = 0.85 g of butter
Thus, the cookies are not good made by the daughter as the butter is not in appropriate proportion.
Write the next thee numbers in each number pattern. Describe the pattern.
a) 2, 4, 3, 6, 5, 10, 9, 16, …
b) 7, 5, 8, 6, 9, 7, 10, …
Answer:
a) 2, 4, 3, 6, 5, 10, 9, 16, ...
Step-by-step explanation:
y = -4(x + 6)(x - 8)
How do you write this in standard form?
Answer:
[tex]y = -4x^2 + 8x + 192[/tex]
Step-by-step explanation:
Hi there!
Standard form: [tex]y=ax^2+bx+c[/tex]
[tex]y = -4(x + 6)(x - 8)[/tex]
Use the distributive property to multiply (x+6) and (x-8)
[tex]y = -4(x(x - 8) + 6(x - 8))\\y = -4(x^2 - 8x + 6x - 48)\\y = -4(x^2 - 2x - 48)[/tex]
Multiply the parentheses by -4
[tex]y = -4x^2 + 8x + 192[/tex]
I hope this helps!
Which property of equality was used to solve this equation? x − 5 = -14 x − 5 + 5 = -14 + 5 x = -9
Answer:
Additive property
Step-by-step explanation:
Given
[tex]x - 5 = -14[/tex]
Required
The property used
In the 2nd step, 5 was added to both sides, i.e.
[tex]x - 5+5 = -14 + 5[/tex]
The above is an illustration of additive property of equality, i.e. Adding or subtracting the same variable or constant to both sides of an equation
Victoria has $200 of her birthday gift money saved at home, and the amount is modeled by the function h(x) = 200. She reads about a bank that has savings accounts that accrue interest according to the function s(x) = (1.05)x−1. Explain how Victoria can combine the two functions to model the total amount of money she will have in her bank account as interest accrues after she deposits her $200. Justify your reasoning.
WILL GIVE BRANLIEST
Solution :
Amount of money Victoria has = $200
The amount modelled by function = h(x) = 200
According to the function,
s(x) = (1.05)x - 1
It means that the total amount of the interest that Victoria will receive s(x) is equal to original amount of $200 which multiplied by the rate of interest (1.05) and then multiplied by the time that Victoria keeps the money in the bank (x) minus 1.
The total amount of money she will have in her bank account as interest accrues after she deposits her $200 is 200 [tex](1.05)^{x-1}[/tex]
Exponential functions
THe standrd exponential function is exprressed as:
y = a(1±r)^t
Given the following parameters
h(x) = a = 200
s(x) = [tex](1.05)^{x-1}[/tex]
Combining both expressions will given 200 [tex](1.05)^{x-1}[/tex]
Hence the total amount of money she will have in her bank account as interest accrues after she deposits her $200 is 200 [tex](1.05)^{x-1}[/tex]
Learn more on exponential function here: https://brainly.com/question/12940982
Pls help i need help on this homework equation m% of n will mark brainliest
Answer:
m% of n is (m/100)(n)
Step-by-step explanation:
When removing a %, you just move the period two places to the left (ex. 50% = 0.50), or just divide the number by a 100 (ex. 50% = 50/100). So then, m% of n is just the product of m/100 and n.
Solve for t.
( 124 + 6 x 8 ) ÷ 2 = t
( 124 + 6 x 8 ) ÷ 2 = t
=> ( 124 + 48 ) ÷ 2 = t
=> 172 ÷ 2 = t
=> 86 = t
Hi there!
[tex]\large\boxed{t = 86}[/tex]
To solve, we must use PEMDAS:
P: Parenthesis
E: Exponents
M: Multiply
D: Divide
A: Add
S: Subtract
Evaluate the inside of the parenthesis:
(124 + 6 × 8)
Multiply first:
(124 + 48)
Evaluate:
124 + 48 = 172
Divide by 2:
172 ÷ 2 = 86 = t
Can someone help me I don't understand
Step-by-step explanation:
Hey there!
From the above right angled triangle ABC;
Taking Angle ABC as reference angle;
Angle ABC = ???
Perpendicular (p) = AC = 15
Base (b) = AB = 47
Now;
Taking ratio of sin;
[tex] \tan( \alpha ) = \frac{p}{b} [/tex]
Keep value;
[tex] \tan( \alpha ) = \frac{15}{47} [/tex]
Simplify it;
[tex] \tan( \alpha ) = 0.3191489[/tex]
Take tan to next side;
Angle ABC (alpha) = tan'(0.3191489)
Therefore, the measure of angle ABC is 17.70°.
Hope it helps!
The 4 answer it gives
X=-3
X=-1
X=1
X=3
Answer:
x=3
Step-by-step explanation:
If we look at the point of intersection on the graph they intersect at point (3,-1) but x=3 and y=-1 therefore x=3.
A school in Delhi has its own flag, which is rectangular and divided into 4 rows and 6 columns. The word ‘SCHOOL' is inscribed in the first row, ‘FLAG' in the fourth row, and a purple coloured rhombus is in the middle
The question is incomplete. The complete question is :
A school in Delhi has its own flag, which is rectangular and divided into 4 rows and 6 columns. The word ‘SCHOOL’ is inscribed in the first row, ‘FLAG’ in the fourth row, and a purple colored rhombus is in the middle, as shown in the given figure.
Based on this picture of the school flag, answer the following questions:
(a) What fraction of the flag has the purple rhombus?
Solution :
From the figure, the total number of squares in the flag of 4 rows and 6 columns are : 4 x 6 = 24 blocks
The purple colored rhombus is made on the half of the 4 blocks.
i.e. [tex]$\frac{1}{2} \times 4 = 2\ \text{blocks}$[/tex]
Therefore, the fraction of the flag that has the purple rhombus is :
[tex]$=\frac{2}{24}$[/tex]
[tex]$=\frac{1}{12}$[/tex]
Identify the slope and y-intercept in the line y=3/4 x - 3
m=
b=
Answer:
The slope is 3/4 and the y intercept is -3
Step-by-step explanation:
y=3/4 x - 3
This equation is written in slope intercept form
y = mx+b where m is the slope and b is the y intercept
The slope is 3/4 and the y intercept is -3
Answer:
[tex]{ \bf{slope = \frac{3}{4} }} \\ \\ { \bf{y - intercept : - 3}}[/tex]
Step-by-step explanation:
General equation of line:
[tex]{ \bf{y = mx + b}}[/tex]
Slope is m and y-intercept is b:
[tex]{ \tt{y = \frac{3}{4}x - 3 }}[/tex]
Slope= ¾
y-intercept = -3
Find the equation of the line:
Answer:
y = -1/4x - 2
Step-by-step explanation:
y = -1/4x - 2
Write the equation of the line perpendicular to y=1/2x+3 that contains (5,-4)
Answer:
y = -2x + 6
Step-by-step explanation:
y = -2x + b
-4 = -2(5) + b
-4 = -10 + b
6 = b
ILL GIVE BRAINLEST!!! An ice cream shop sold a combined total of 429 ice cream cones in the flavors of
chocolate or vanilla. They sold 105 more chocolate cones than vanilla. How many vanilla
ice cream cones did they sell?
Answer:
They sold 162 vanilla cones.
Step-by-step explanation:
429-105=324
324/2=162
162+105=267 (chocolate)
267(chocolate)+162(vanilla)=429(total)
a box has a length of 6x inches. the width equals one third the length, and the height equals half the length. if the volume equals 972 cubic inches, what does x equal?
a box has a length of 6x inches
l=6xthe width equals one third the length
w=[tex]\sf{\dfrac{1}{3}×6x }[/tex] w=2xthe height equals half the length.
h=[tex]\sf{\dfrac{1}{2}×6x }[/tex] h=3xwe know that,Volume of a rectangle box=l×w×h
According to the question,if the volume equals 972 cubic inches,
l×w×h=volume6x × 3x × 2x=972 36x^3=972 cubic unitx=972/36x=27Therefore:-The value of x is 27
a box has a length of 6x inches
so,
l=6xBut,the width equals one third the length
[tex]w=\dfrac{1}{3}×6x \\\\w=2x [/tex]
again,the height equals half the length.
[tex]h=\dfrac{1}{2}×6x \\\\h=3x[/tex]
we knows:-
Volume of a rectangle box=l×b×h
From the question,if the volume equals 972 cubic inches,
l×w×h=volume6x × 3x × 2x=97236x^3=972 cubic unitx=972/36x=27.Final solution:
.°.The value of x is 27.
Help me to do this question plz plz plz
Answer:
Unknown
Step-by-step explanation:
You need to reduce the fractions the best you can and solve from there :) not to sure tho I am only 13
What are the slope of the y intercept of the line represented by the points shown on the table
Express each of the following percentages as a fraction and simplify it.
(i) 25%
(ii) 40%
(iii) 16%
(iv) 150%
(v) 120%
(vi) 58%
(vii) 32%
(viii) 175%
(ix) 12 3
(xii) 2.25%
[tex]\hookrightarrow\sf{ 25\% =\dfrac{25}{100}=\boxed{\bf \dfrac{1}{4} }} \\\hookrightarrow\sf{ 40\% =\dfrac{40}{100}=\boxed{\bf \dfrac{2}{5} }} \\\hookrightarrow \sf{16\%=\dfrac{16}{100}=\boxed{\bf\dfrac{4}{25}} } \\ \hookrightarrow\sf{150\%=\dfrac{150}{100}=\boxed{\bf\dfrac{3}{2} }} \\ \hookrightarrow\sf{120\%=\dfrac{120}{100}=\boxed{\bf\dfrac{6}{5} }} \\\hookrightarrow \sf{58\%=\dfrac{58}{100}=\boxed{\bf\dfrac{29}{50}} } \\\hookrightarrow \sf{32\%=\dfrac{32}{100}=\boxed{\bf\dfrac{8}{25} }} \\ \hookrightarrow\sf{175\%=\dfrac{175}{100}=\boxed{\bf\dfrac{7}{4}} } \\ [/tex]
[tex]\hookrightarrow \sf123\% = \frac{123}{100} = \boxed{\bf1.23} \\ \hookrightarrow \sf2.25\% = \frac{2.25}{100} = \frac{225}{10000} = \boxed{\bf0.0225}[/tex]
is (the fraction in the photo) rational or irrational?
Answer:
Irrational
Step-by-step explanation:
The square root of 2 is an irrational number as it is: ≈ 1.41. When you divide the square root of 2 by 3, it's still irrational: 0.47140452...
Sophie Ruth is eating a
50
5050-gram chocolate bar which contains
30
%
30%30, percent cocoa.
How many grams of cocoa are in the chocolate bar?
grams
Answer:
15 grams
Step-by-step explanation:
There is a 50 gram chocolate bar that contains 30% cocoa. So we are basically finding 30% of 50. We break 30 into 3*10 and 50 into 5*10. 5*3 = 15.
Therefore, there are 15 grams of cocoa in the chocolate bar.
I hope this helps.
50 people were called in a wedding and 60 people came, then how many percent of the people came
Answer:
120%
Step-by-step explanation:
From the question, 50 people were called and 60 people came
what this mean is that 10 extra people came
Initially, the 50 out of the 60 represented the first 100%
Now, for the 10, what we have to do is to find the percentage of 50 that is 10
We have this as;
10/50 * 100 = 20%
Now, we add this to the initial 100%
So we have 100 + 20 = 120%
1
What is the domain of F(x) =
1/x
Answer:
6557659
Step-by-step explanation:
tdycdu76rfvuiyt67gbvvbfutre7juitgvytx
PLEASE DO THIS ASAP! MUST SHOW WORK!
NO LINKS
Answer:
P = 64 meters
Step-by-step explanation:
P = 2(l+w)
l = 14 and w = 18
P = 2(14+18)
P = 2( 32)
P = 64 meters
Perimeter of rectangle = 2 ( L + B )
L represents length of rectangle. B represents breadth of rectangle. So ,L = 14 metersB = 18 metersNow , Substuting the valuesPerimeter of rectangle = 2 ( 14 + 18 )
Perimeter of rectangle = 2 ( 32 )
Perimeter of rectangle = 64 meters.
Logan was going to go to
Disneyland in America so he got
$450 from the bank. Then he
changed my travel plans, to go to
Eurodisney in Paris. How many
Euros will he have to spend?
Exchange Rate
GBP to Dollars £1: $1.50
GBP to Euros £1: €1.38
What is the order of rotational symmetry for the figure?
Answer:
it should be 3
Step-by-step explanation:
I hope this help
Download guathmath and put it my code please it's an app with tutors it's faster! WFHUZJ
Answer: Advertisement?
Do I need an explanation? : Y e s I d o
The following two-way table describes student's
after school activities. Find the probability that a
randomly selected student is in music/drama:
Grado
Sports
Music/Drama
Work
Sophomore
20
7
3
Junior
20
13
2
Senior
25
5
5
P(Music/Drama) = [?]
Round to the nearest hundredth.
Please HELP MEEE!!!!!!
Answer:
1/4
Step-by-step explanation:
Firstly, we need to get the total number of students on the table
We have this as;
20 + 20 + 25 + 7 + 13 + 5 + 3 + 2 + 5 = 100
Now, we sum up the values we have in the music/Drama column
We have this as;
7 + 13 + 5 = 25
so the probability of selecting a student in the music/drama group is the number of music/drama students divided by the total number
That would be
25/100 = 1/4
At a coffee shop, the first 100 customers'
orders were as follows.
Small
Large
Medium
Hot
un
48
22
Cold
8
12
5
5
What is the probability that a customer ordered
a large given that he or she ordered a cold
drink?
Rounded to the nearest percent, [? ]%
Answer:
people who ordered a cold drink=
[tex]8+12+5=25[/tex]
people who ordered a large cold drink= 5
[tex]probability= \frac{5}{25}[/tex] [tex]=\frac{1}{5}[/tex]
[tex]=\frac{1}{5} \times100=20~\%[/tex]
[tex]Answer: 20\%[/tex]
-----------------------
Hope it helps...
Have a great day!!
The probability that the customer ordered a large given that he or she ordered a cold drink is 5%.
What is Probability?Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.
The value of probability will be always in the range from 0 to 1.
Given the order of the first 100 customers in a coffee shop.
Number of customers who ordered a large which is also a cold drink = 5
Total number of customers = 100
Probability = Number of desired outcomes / Total number of outcomes
Substituting,
Probability = 5 / 100 = 0.05 = 5%
Hence the required percent is 5%.
Learn more about Probability here :
https://brainly.com/question/30034780
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