Thank you for answering this question.
Note the rules
a^m×a^n=a^m+n(a^m)^n=a^mn[tex]\\ \rm\Rrightarrow \dfrac{7^{12}7^9}{(7^6)^3}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{7^{21}}{7^{18}}[/tex]
[tex]\\ \rm\Rrightarrow 7^3[/tex]
[tex]\\ \rm\Rrightarrow 729[/tex]
Spongebob and Patrick are selling kelp fries to fundraise for new jellyfishing nets. They sold
small and large sizes. Spongebob sold 3 small fries and 14 large fries for a total of $203.
Patrick sold 11 small fries and 11 large fries for a total of $220. Find the cost of each size of
fries.
a
Answer:
So, cost of small size is $7 and cost of large size is $13.
Step-by-step explanation:
Let cost of each small size - x, cost of each large size - y
By the question,
3x + 14y = 203
11x + 11y = 220
From the first equation, we get,
3x + 14y = 203
or, 3x = 203 - 14y
so, x = (203 - 14y)/3
Substituting x's value in second equation :-
11x + 11y = 220
or, 11 { (203 - 14y)/3 } + 11y = 220
or, {2233 - 154y}/3 + 11y = 220
or, { 2233 -154y + 33y} = 660
or, 2233 - 121y = 660
or, 121y = 2233 - 660
or, 121y = 1573
so, y = 1573/121
so, y = 13
Now,
As we know,
x = (203 - 14y)/3
or, x = ( 203 - 14 × 13)/3
or, x = (203 - 182)/3
so, x = 21/3
so, x = 7
So, cost of small size is $7 and cost of large size is $13.
-10(x – 7) – 3x simplified
7) It Snowed 55" this winter. Last winter it snowed 60". What is the approximate percent declir
in snowfall this winter?
a. 8%
b. 9%
C. 10%
d. 11%
Let's see
[tex]\\ \rm\dashrightarrow \dfrac{60-55}{60}\times 100[/tex]
[tex]\\ \rm\dashrightarrow \dfrac{5}{60}\times 100[/tex]
[tex]\\ \rm\dashrightarrow \dfrac{50}{6}[/tex]
[tex]\\ \rm\dashrightarrow 8.3\%[/tex]
Please solve this equation
Answer
(1 - sin2x)/(sin - 1)
Step-by-step explanation:
tan225° = 1
sin270° = -1
Substitue these values and you get:
(1 - sin2x)/(sin - 1)
Hope this helps!
A dime has a radius of 8.5 millimeters. Find the circumference of a dime to the nearest tenrh
The following table shows the heights, in inches, of the players on
the opening-night roster of the 2015-2016 New York Knicks.
84
80
87
75 77
79
80
74 76 80
80
82
82
The population standard deviation of these data is approximately
(1) 3. 5
(3) 79. 7
(2) 13
(4) 80
If the value of the mean is 79.6923 then the standard deviation is 3.5. Then the correct option is A.
What is a standard deviation?It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in a variation.
The following table shows the heights, in inches, of the players on the opening-night roster of the 2015-2016 New York Knicks.
84, 80, 87, 75, 77, 79, 80, 74, 76, 80, 80, 82, 82
The mean will be
N = 13
[tex]\mu = \dfrac{84+ 80+ 87+ 75+ 77+ 79+ 80+ 74+ 76+ 80+ 80+ 82+ 82}{13}\\\\\mu = \dfrac{1036}{13}\\\\\mu = 79.6923[/tex]
Then the standard deviation will be
[tex]\sigma = \sqrt{\dfrac{\Sigma _{i=2}^N (x_i - \mu)^2}{N}}\\\\\sigma = \sqrt{\dfrac{(84-79.6923)^2+(80-79.6923)^2+ ..... + (82-79.6923)^2}{13}}\\\\\sigma = 3.4947128281848 \approx 3.5[/tex]
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A country pledges to reduce its annual CO2
emissions by 5% per year. If the emissions in
2022 are 6,080 Mt (metric megatons), what are
the maximum allowable emissions in the year
2029?
A country pledges to reduce its annual CO₂ emissions by 5% per year, the maximum allowable emissions in the year 2029 is, 4245.89 Mt
What is the percentage?The percentage is a mathematical term, which means a number or a ratio which is represented in fractions of 100. We use the '%' symbol to represent the percentage.
Formula for percentage;
Percentage = (present quantity/whole quantity)×100
Given that,
A country pledges to reduce its annual CO₂ emissions by 5% per year
The emissions in 2022 are 6,080 Mt
The maximum allowable emissions in the year 2029 = ?
In 2022 CO₂ emission = 6,080 Mt
5% reduces next year
So, In 2023
CO₂ emission = 6080(1 - 0.05)
In 2024
CO₂ emission = 6080(1 - 0.05)(1 - 0.05)
So after 7 years in 2029
CO₂ emission = 6080(1 - 0.05)⁷
= 4245.89
Hence, the maximum permissible emission is 4245.89 Mt
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Find two irrational numbers between 5 9 and 16 5
Answer:
Step-by-step explanation:
I am assumimg you mean 5/9 and 16/5.
2 irrational numbers between these values are e and π.
Two irrational numbers between 5 / 9 and 16 / 5 are,
⇒ 0.56674549....
⇒ 0.588454755....
What is Rational number?A number which can be written in the form of fraction p / q , where q is non zero, are called Rational numbers.
Given that;
Two rational numbers are,
⇒ 5 / 9 and 16 / 5
Now, We get;
⇒ 5 / 9 = 0.5555
⇒ 16 / 5 = 3.2
Hence, Two irrational numbers between 5 / 9 and 16 / 5 are,
⇒ 0.56674549....
⇒ 0.588454755....
Thus, Two irrational numbers between 5 / 9 and 16 / 5 are,
⇒ 0.56674549....
⇒ 0.588454755....
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The table below shows the cost of a monthly gym membership.
Which equation would you use to find the total cost,
T, of the gym membership for m months?
1. T=30m+25
2. T=15m
3. T=30m+15
4. T=45m
Answer: $15+( 30×the number of months)
The third answer iis right.
Step-by-step explanation: First month you pay 15 And you top up with 30 every month
Answer:
3
Step-by-step explanation
bc you need to look at one month and its 45 each month its 30 + 15
Two similar solids have a surface areas of 48ft^2 and 147ft^2 respectively. If the volume of the smaller solids is 320ft^3, what is the volume of the larger solid?
Two similar solids have a surface area of 48ft^2 and 147ft^2 respectively. If the volume of the smaller solids is 320ft^3 and the volume of the larger solid is 1715 cubics in.
What is a triangle?A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.
Two similar solids have a surface area of 48ft^2 and 147ft^2 respectively.
If the volume of the smaller solids is 320ft^3.
Since the solids are similar, the ratio of the surface areas is equal to the square of the scale factor, k.
Thus, k2 = 147 / 48 , or k = 49/16 = 7/4
The ratio of the volumes of the solids is equal to k3, which gives:
V / 320 = (7/4)^3
where V is the volume of the larger solid.
V = 320 x (7/4)^3
= 1715 cubics in
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Which of the following points lies on the circle x2 + y2 = 400
Answer:
C is the answers for the question
Jason has two bags with 6 tiles each. The tiles in each bag are shown below:
Six squares are numbered sequentially from 1 to 6.
Without looking, Jason draws a tile from the first bag and then a tile from the second bag. What is the probability of Jason drawing an even tile from the first bag and an even tile from the second bag?
6 over 12
9 over 12
6 over 36
9 over 36
Answer:
9/36
Step-by-step explanation:
Given :1,2,3,4,5,6
first draw even probability 3/6=1/2
second draw even probability 3/6=1/2
1/2x1/2 or 3/6 x3/6= 1/4 or 9/36
Solve this and get points please . :)
6 + 3 x 2 - 5 +( 7 - 1 )
And try Ur best , remember to work at a good pace and take Ur time.
Answer:
13
Step-by-step explanation:
6+3 x 2-5+(7-1)
6+3 x 2-5+(6)
6+6-5+6
12-5+6
7+6
13
[tex]6 + 3 \times 2 - 5 + (7 - 1)[/tex]
solution:you can follow BODMAS rule where,
B= brackets
O= Order
D= Division
M= Multiplication
A= Addition
S= Subtraction
let's solve:[tex]6 + 3 \times 2 - 5 + (7 - 1)[/tex]
[tex] = 6 + 3 \times 2 - 5 + 6[/tex]
[tex] = 6 + 6 - 5 + 6[/tex]
[tex] = 12 - 5 + 6[/tex]
[tex] = 7 + 6[/tex]
[tex] = 13[/tex]
Find the 14th term in the following sequence: -1, -3, -5, -7, ..
Answer:
[tex]t_{14}[/tex]= -27
Step-by-step explanation:
a = -1
and d = -3 - (-1)
= -2
Basically, [tex]t_{14}[/tex] = a + 13d
= -1 + 13 x (-2)
= -1 - 26
= -27
A used car lot sold 12 minivans last month, along with 54 other vehicles. Considering this data, how many of the next 77 vehicles sold should you expect to be minivans?
47 points and brainiest to the answer!
HELP ILL GIVE BRAINLIEST
Line A has a slope of 6. Line B has a slope of -1/6. Are these lines perpendicular?
Answer:
Yes
Step-by-step explanation
Lines are perpendicular when they have the reprocial slope with the opposite sign.
Yes, the lines having slopes 6 and -1/6 are perpendicular.
What is slope?The slope of a line is a number that describes the direction of the line. The formula of calculating slope is calculated as under:
Slope=[tex](y_{2} -y_{1} )/(x_{2} -x_{1} )[/tex].
How to identify perpendicular lines?We have been given that the slope of line A is 6 and slope of line B is -1/6.
Two lines are seem to be perpendicular to each other if the product of their slopes is equal to -1.
Product=slope of line A * Slope of line B
=6*(-1/6)
=-6/6
=-1
Hence the lines having slopes 6 and -1/6 are perpendicular to each other.
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I NEED HELP PLSS I HAVE NOO TIME LEFT
Step-by-step explanation:
x/15 = y/6
x = 15y/6
x/y = 15/6 = 5/2
5.7 times -4.2. step by step
Answer:
5.7×-1.2=-7.14
Step-by-step explanation:
+5.7(×)-1.3
+(×)- = -(it gives a negative answer)
so you multiply 5.7 and 1.3= 7.14
you just add a negative sigh to the ans
answer=-7.14
please consider a brainlest question
PLEASE HELP !!! FIND THE SLOPE OF THE LINE
Slope=1
Solution:There are several ways to find the slope. Here's one of them:Pick two points on the line, plug them into the slope formula and simplify.I chose the following points: (-1, 0) and (0, 1)Plug them into the formula:[tex]\displaystyle\frac{y2-y1}{x2-x1}[/tex][tex]\displaystyle\frac{1-0}{0-(-1)} =\frac{1}{0+1} =\frac{1}{1}=1[/tex]Hope it helps.
Do comment if you have any query.
Answer: Slope=1
Step-by-step explanation:
Elimination was used to solve a system of equations.
One of the intermediate steps led to the equation 2x = 8.
Which of the following systems could have led to this equation?
3x - y = 15
x + y = 7
x + 3y = 24
- x - 3y = 16
4x + 2y = 14
x + y = 3
2x+2y = 8
- 2x - 2y=8
Answer:
(c) 4x + 2y = 14; x + y = 3
Step-by-step explanation:
The given equation will be the result of eliminating the y-variable from the system. When we do that for the different answer choices, we get ...
aAdd the two equations: (3x -y) +(x +y) = (15) +(7) ⇒ 4x = 22
bAdd the two equations: (x +3y) +(-x -3y) = (24) +(16) ⇒ 0 = 40
cSubtract twice the second from the first.
(4x +2y) -2(x +y) = (14) -2(3) ⇒ 2x = 8 . . . . the system we're looking for
dAdd the two equations: (2x +2y) +(-2x -2y) = (8) +(8) ⇒ 0 = 16
_____
Additional comment
When the equation reduces to 0 = constant, and "constant" is not zero, it means the system of equations has no solution. (The equations describe parallel lines.)
Steve is turning half of his backyard into a chicken pen. His backyard is a 24 meter by 45 meter rectangle
This triangular prism is 22 inches tall and has a base with an area of 60 square inches. What is the volume of the prism?
ANSWER CHOICES:
1320 cubic inches
82 cubic inches
660 cubic inches
729,000 cubic inches
ANSWER QUICKLY
Answer:
A 1320
Step-by-step explanation:
22 x 60
1320
. A set of trading cards sells for $8.95
before tax. After sales tax, it costs
$9.60. What is the sales tax rate?
A botanist is using two types of plants for an experiment. she writes inequalities to model the constraints on the number of each type of plant she can use. she uses linear programming to find the vertex of the feasible region that results in the minimum value, in dollars, of the cost function. if that vertex is (5, 39), what do the coordinates represent? buying five of one type of plant and 39 of the other type of plant results in the lowest cost. buying five of each type of plant costs $39, which is the lowest possible cost. the lowest possible cost of the plants is $5, which occurs when 39 of each type of plant are bought. the lowest possible cost of the plants is $5, which occurs when a total of 39 plants are bought.
The coordinates represent the numbers of plants of each type she can use and minimize the cost
Let x be the number of plants of one type.
y be the number of plants of the other type.
What is the meaning of the vertex of the feasible region?
The optimal solutions will occur at one or more of the extreme points this is the vertices of the feasible region.
We have, The vertex of the feasible region that results in the minimum value of the cost function is (5,39).
That means buying 5 of one type of plant and 39 of the other type of plant results in the lowest cost.
Thus the coordinates represent the numbers of plants of each type she can use and minimize the cost.
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Answer:
Buying five of one type of plant and 39 of the other type of plant results in the lowest cost.
Step-by-step explanation:
is 2/100the fractional form of 0.02??
Answer:
Yes it is
Step-by-step explanation:
2/100 = 0.02
You have to move two spaces to the left of 2, as 100 contains two zeroes (u must start counting from 2 and put zeroes along, until u finish counting)
after u finish counting put a 0. in the left of of all the zeroes and the 2
Please help me with this math problem!! Will give brainliest!! NO LINKS PLEASE!! Thanks!! :)
Answer:
Step-by-step explanation:
arc EF=90-20=70°
arc FDA=20°
∠ABC==180-20=160°
Could I get some help on this?
Answer:
200.5ft²
Step-by-step explanation:
According to my calculation this is the answer ..
3/5•3/5•3/5=?
3/5•5/5•4/5=?
Please?
Answer:
1) 27/125
2) 12/25
Step-by-step explanation:
3*3*3 = 27
3*5*4= 60, but simplified is 12/25
An expression is shown in the photo, which statement is true about the expression? Options are in the photo.
Answer:
It is irrational and equal to 4square root 2