The ratio of snakes to frogs is 1 : 2.
The ratio of frogs to animals is 2 : 3.
If 3 more snakes are added, the number of frogs that should be added to keep the ratio constant is 6.
Here are the completed tables:
TVs 2 4 6
Computers 7 14 21
Trumpets 10 5 20 25
Drums 8 4 16 20
Books 0 40 100
Boxes 0 2 5
What are the ratios?Ratio expresses the relationship between two or more numbers. It is the number of times that one value is contained within other value(s).
The ratio of snakes to frogs can be determined by counting the number of snakes and frogs.
Number of snakes = 4
Number of frogs = 8
The ratio of snakes to frogs - 4 : 8 = 1 : 2
The ratio of frogs to animals = number of frogs : number of animals = 8 : 12 = 2 : 3.
Number of snakes if 3 more are added = 4 + 3 = 7
Ratio of snakes to frogs - 1 : 2
Number of frogs that would keep the ratio constant = 7 x 2 = 14
Number of frogs that should be added = 14 - 8 = 6
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in need of help!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
2 pairs of parallel sides
Spot Robin says, "I can find 6 x 9 by
multiplying 4 x 9 and doubling it." Does her statement
make sense? Justify your answer.
Answer:
No
Step-by-step explanation:
It does not make sense becuse 6x9=54
And 4x9(2)=72 so it would make no sense
What is the explicit form of an arithmetic sequence if the
first term is 5 and the recursive formula is an an-1 + 8?
=
The explicit form of the arithmetic sequence is
5, 13, 21, 29, .....
What is arithmetic sequence?
A sequence of numbers is said to be in arithmetic progression if the difference between the consecutive terms of the series are same
If the first term is a, common difference is d, then nth term of the sequence is given by
[tex]a_n = a + (n-1)d[/tex]
The recursive form of the given arithmetic series is
[tex]a_n = a_{n-1} + 8[/tex]
First term [tex]a_1 = 5[/tex]
[tex]a_2 = a_1 + 8\\a_2 = 5 + 8\\a_2 = 13[/tex]
[tex]a_3 = a_2 + 8\\a_3 = 13 + 8\\a_3 = 21[/tex]
[tex]a_4 = a_3 + 8\\a_4 = 21+8\\a_4 = 29[/tex]
So the explicit form of the arithmetic sequence is
5, 13, 21, 29, .....
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At a carnival game, it cost Noah $12 to toss 30 rings. Fill out a table of equivalent ratios and plot the points on the coordinate axes provided.
The table of the equivalent ratios is:
Toss Dollars
5 2
30 12
45 18
The points are plotted in the diagram below.
How to Create a Table of Equivalent Ratios?Applying the knowledge of ratios we can create a table of equivalent ratios, given that it cost $12 to toss 30 rings.
Therefore, the ratio of dollars to toss is: 12:30 = 2:5.
Number of toss = x
Amount in dollars = y
Substitute k = 2/5 into y = kx to derive an equation to use to create a table of equivalent ratios:
y = 2/5x.
Therefore, wheny = 2:
2 = 2/5(x)
10 = 2x
x = 5 toss
When x = 45:
y = 2/5(45)
y = 18 dollars
The table of equivalent ratios is completed as:
Toss Dollars
5 2
30 12
45 18
(5, 2), (30, 12), and (45, 18), which are the points of the equivalent ratio table are plotted as shown in the diagram below.
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Lorna Hall’s real estate tax of $2,010.88 was due on December 14, 2017. Lorna lost her job and could not pay her tax bill until February 27, 2018. The penalty for late payment is 61/2% ordinary interest. (Use Days in a year table.)
a. What is the penalty Lorna must pay? (Round your answer to the nearest cent.)
b. What is the total amount Lorna must pay on February 27? (Round your answer to the nearest cent.)
a) The penalty Lorna must pay for the late payment of her real estate tax is $26.50.
b) The total amount Lorna must pay on February 27 is $2,037.38.
How is the penalty for unpaid taxes computed?The penalty for unpaid taxes is computed by determining the number of days the taxes remained unpaid.
Then the penalty rate is applied to the unpaid taxes multiplied by the number of days taxes were outstanding, divided by 365 days.
The product of the above multiplication and division operations is the penalty.
Outstanding real estate tax = $2,010.88
Due date for the tax = December 14, 2017
Payment date for the tax = February 27, 2018
Number of days, tax outstanding = 74 days
Penalty rate for late payment = 6.5%
Penalty = $26.50 ($2,010.88 x 6.5% x 74/365)
Total payment on February 27 = $2,037.38 ($2,010.88 + $26.50)
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In which quadrant does the point (10, -9) lie?
Answer:Qadrant 4
Step-by-step explanation:
Leila bought a suit on sale for 331.20 . This price was 64% less than the original price. What was the original price?
Answer:
$920
Step-by-step explanation:
You want to know the original price of a suit on sale for $331.20, if that price represents a 64% discount.
Discounted priceThe discounted price is found by subtracting the amount of the discount from the original price. That amount is the product of the original price and the rate of the discount.
discounted price = price - (discount)·(price)
discounted price = price · (1 - discount)
The the original price is ...
price = (discounted price)/(1 - discount) = $331.20/(1 -0.64)
price = $920
The original price of the suit was $920.00.
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If India works overtime, she receives an hourly rate of 1-times her regular hourly 1/2 rate. What is her hourly overtime rate?
You have a loan for $1000 at 7.65 APR 100 of the loan is due each month and there is a penalty of 2% on the original amount were not paid If you do not pay anything on that loan during the year and assuming there is no compounding how much will you owe in total
If you do not pay anything on that loan during the year and assuming there is no compounding, the total sum owing is $1,216.50.
What does a loan simply mean?When money is given to someone else with the knowledge that it would be returned with interest, it is referred to as a loan. . Lenders will consider a borrower's income, credit rating, and level of debt before deciding to grant a loan.
Money borrowed from a bank or other financial organization is known as a loan. The borrower consents to repay the loan's principal plus interest. There are many different kinds of loans, such as auto loans, student loans, and mortgages.
The amount is 1000(1 + 0.0765), or 1000 x 1.0765, or 1,076.50.
Punishment equals 12(0.02 x 1000) = 12(20) = 240.
The total sum owing is $1,216.50 (1,076.50 plus 240).
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Which graph represents the function f(x) = –|x + 3|?
Answer:
The answer would be A. (Not sure if its A B C or D question but I will have picture below)
Step-by-step explanation:
Hope this helps you! :))
Alisha used her bank card to buy a bus pass 3 times. Each time she bough
a pass it cost her $13.75. She then deposited $30 into her bank account. Write
an expression to find the change in Alisha's bank account in dollars as a result
these transactions. Also, evaluate the expression to find the change in the
account balance.
The answer will be A-3*13.75+30 using arithmetic operation.
What is the arithmetic operation?
The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.
Alisha used her bank card to buy a bus pass 3 times.
Each time she bought a pass it cost her $13.75,
She then deposited $30 into her bank account.
So the expression A-3*13.75+30
A is the initial value.
Hence this will be the expression A-3*13.75+30
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Consider the following table.
x y
5 0
-1 6
0 5
-3 8
4 1
Which graph corresponds to this table?
Answer:_______________________________
The area of a circle is 4x² + 12лx + 9л.
a. What is an expression for the radius of the circle?
b. What is the least possible integer value of x for the circle to exist? Explain.
plspls help me
a ) The expression for the radius of the circle = r = 2x + 3
b ) The least possible value of radius is - 1.5
Given : Area of the circle = 4πx² + 12πx + 9π
a) The expression for the radius of the circle = r = 2x + 3
we can find this out by middle term split
we can write the area of the circle as
4πx² + 12πx + 9π
4πx² + 6πx + 6πx + 9π
this implies 2πx ( 2x + 3 ) + 3π ( 2x + 3 )
π( 2x + 3 ) ( 2x + 3 )
thus the radius expression is 2x + 3
b ) The least possible value of radius is 2x + 3 = 0
this implies 2x = - 3
x = - 1.5
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There are 4 squares and 16 triangles. What is the simplest ratio of squares to
triangles?
Answer:
1 : 4
Step-by-step explanation:
There are 4 squares and 16 triangles.
That is,
Squares : Triangles
4 : 16
To write it in its simplest ratio, divide both by 4.
Squares : Triangles
1 : 4
5. On a cattle farm, the ratio of beef cattle to dairy cattle is 4:3.
3
(a) Interpret the ratio: For every
beef cattle, there are
cattle.
dairy
(b) If there are 24 dairy cattle, how many
beef cattle would there be? Show your
work.
For every 4 beef cattle there is 3 dairy cattle. For 24 dairy cattle there will be 32 beef cattle as per the given ratio of 3:4.
What is ratio?An ordered pair of numbers a and b, written as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you could write the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls). The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two things.
Here,
a. No for every 4 beef cattle there is 3 dairy cattle.
b. 4/3=x/24
x=4*24/3
x=32 beef cattle
There are 3 dairy cattle for every 4 beef cattle. According to the stated ratio of 3:4, there will be 32 beef cattle for every 24 dairy cattle.
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Which animals will live in a building that is similar to the chimpanzee's house?
A. gorillas
B. Main Primate House
C. gibbons
D. orangutans
We can conclude that (C) Gibbons will live in a building that is similar to the Chimpanzee's rectangular house.
What is a rectangle?In the Euclidean plane, a rectangle is a quadrilateral with four right angles. As an equiangular quadrilateral, which means that all of its angles are equal, it can also be referred to as a parallelogram with a right angle. A rectangle with four equal-length sides is a square.So, observe the given shapes on the graph:
The chimpanzee house is a rectangle with 8units×2units.If we take dimensions 8units×2units into consideration, then we notice that:Gibbons also has a house with identical dimensions as 8units×2units.
Therefore, we can conclude that (C) Gibbons will live in a building that is similar to the Chimpanzee's rectangular house.
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2n²×5 work out 6th term of this sequence
The 6th term of this sequence is 360
How to determine the 6th term of this sequenceFrom the question, we have the following parameters that can be used in our computation:
Sequence representation = 2n² × 5
This means that
nth term = 2n² × 5
So, we have
f(n) = 2n² × 5
For the 6th term, the value of n is 6
i.e. n = 6
Substitute the known values in the above equation, so, we have the following representation
f(6) = 2(6)² × 5
Evaluate
f(6) = 360
Hence, the 6th term s 360
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ASAP I NEED THIS QUESTION DONE DUE TODAY!!!! 2/3p + 3; p=3/5
Answer: 17/5 or 3.4
Step-by-step explanation:
Substitute p for 3/5 so it would be 2/3(3/5)+3
2/3(3/5)= 2/5
2/5+3=17/5 or 3.4
Hope this helps :)
Answer:
Step-by-step explanation:
Substitute p for 3/5 so it would be 2/3(3/5)+32/3(3/5)= 2/52/5+3=17/5 or 3.4
find the Doubling time for a city who is population is growing by 17% per year
The doubling time will be 4.4 years for a city is population is growing by 17% per year.
What is the doubling time?It's time to double down on the time-doubling equation (pun intended). On the assumption that the growth in amount remains constant from one period to the next, the equation is as follows:
Doubling time = log 2 / log (1 + increase)
It has given that the population of the city is growing back 17% per year.
Doubling time = log 2 / log (1 + increase)
Doubling time = log 2 / log (1 + 17/100)
[tex]\mathrm{Apply\:log\:rule}:\quad \frac{\log _c\left(b\right)}{\log _c\left(a\right)}=\log _a\left(b\right)[/tex]
[tex]=\log _{1+\frac{17}{100}}\left(2\right)[/tex]
Doubling time = 4.41484
Round to the nearest tenth decimal.
Doubling time = 4.4
Thus, the doubling time will be 4.4 years for a city is population is growing by 17% per year.
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Bahir is h cm tall. Sienna is 4 cm taller than Bahir.
Write down an expression, in terms of h, for Sienna’s height.
Answer:
.
Step-by-step explanation:
Evaluate if xy + 2x if x = 7 and y = 5
Answer:
49
Step-by-step explanation:
35+14=49
mark me on brainliest please follow me to
-5ax6(2ax4 + 7x2)
what might be the answer to this?? (pleasee!! it’s for my semester final.)
The solution of the given expression -5ax⁶(2ax⁴ + 7x²) is equal to -10a²x¹⁰-35ax⁸.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The given expression is -5ax⁶(2ax⁴ + 7x²). The solution of the expression will be done as,
E = -5ax⁶(2ax⁴ + 7x²)
E = -10a²x¹⁰-35ax⁸.
Therefore, the solution of the given expression -5ax⁶(2ax⁴ + 7x²) is equal to -10a²x¹⁰-35ax⁸.
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The formula W=0.86g^2-0.01g+5.9 models the weight, W, in ounces, for a cat who is fed g grams per day of a special food. According to the formula, how much will a cat weigh when it is fed 13 grams of the special food per day? Round to the nearest hundredth.
Weight of cat when 13 grams food is fed is 151.11 ounces.
Explain equationEquations are logical assertions in mathematics that have two algebraic expressions on either side of an equals (=) sign. LHS = RHS (left hand side = right hand side) appears in all mathematical equations. You can solve equations to determine an unknown variable's value, which corresponds to an unknown quantity.
Given, the formula for weight,
W = 0.86[tex]g^{2}[/tex] - 0.01g + 5.9
= 0.86[tex](13^{2} )[/tex] - 0.01*13 + 5.9
= 0.86*169 - 0.13 + 5.9
= 145.34 - 0.13 + 5.9
= 151.11 ounces
Therefore, the weight of the cat will be 151.11 ounces.
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helpppp please??? brainlesttttt
Which graph represents the solution of -3m < 15?
Write the equation of a line passing through the point (6, 4) that is parallel to the line 2x + 3y = 9.
The equation of line parallel to 2x +3y = 9 and passing through the point (6,4) is 3y + 2x = 24
What is gradient ?Gradient or slope is the ratio of the change in y to the change in x between two points in a line.
Gradient tells how steep a line is. A perfectly vertical or horizontal line has no slope.
2x + 3y = 9
making y the subject,
3y = 9 - 2x
y = 9/3 -2x/3
Comparing the above equation, with equation of a straight line, y = mx + c
m, which is slope = -2/3
The new line will also have a slope of -2/3 because they are parallel.
Equation for new line,
y-[tex]y_{1}[/tex] / x - [tex]x_{1}[/tex] = slope
The new point is (6,4)
y - 4 / x -6 = -2/3
By cross multiplying
3(y-4) = -2(x - 6)
3y - 12 = -2x + 12
3y + 2x = 24
In conclusion, the equation o the new line is 3y + 2x = 24
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5x-3(x-3)=-5+4x+6 x=?????????
Answer:
[tex]\frac{7}{4}[/tex] or 1 [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
I am not sure if you meant 6x or 6+x at the end of the equation. I went with what was written.
5x -3(x-3) = -5 +4x +6x Distribute the -3
5x -3x + 9 = -5 + 4x + 6x Combine like terms
2x + 9 = -5 + 10x Subtract 2x from both sides
9 = -5 + 8x Add 5 to both sides
14 = 8x Divide both sides by 5
[tex]\frac{14}{8}[/tex] = x
[tex]\frac{7}{4}[/tex] o r 1 [tex]\frac{3}{4}[/tex]
Find the values of x and y.
The required angles of x and y are x = 65° and y = 25°
Given is a triangle which is right angled
Thus the sum of the right angled triangle is 180 degrees
So we will write
y° + x + 90 = 180 [ angle sum property of the triangle ]
90 + x + y = 180
let the above equation be considered as equation 1
Since two sides are equal
thus the other angle will also be x°
Also the angle adjacent to 40° can be found out by linear angle property
thus according to this :
x + x + ( 90 - 40 ) = 180 °
2x + 50 = 180
thus subtracting 50 on both sides we get
2x = 130
x = 65°
Thus by equation 1
we can rewrite it as
y + x + 90 = 180
65 + 90 + y = 180
155 + y = 180
this implies y = 180 - 155
y = 25°
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Graph the polynomial equation by making a table of values. f (x)
=2x4 − 5x³+x²–2x+4
The graph of the function y = 2x⁴ - 5x³ + x² - 2x + 4 is plotted and attached.
What is a polynomial?Polynomial is an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s). For example -
y = 4x⁴ + 3x³ + 2x² + 6x + 7
We have the following polynomial -
y = 2x⁴ - 5x³ + x² - 2x + 4
Now -
at x = 0, y = 4
at x = 1, y = 0
at x = 2, y = 32 - 40 + 4 - 4 + 4 = - 4
Refer to the graph attached. The points (0, 4), (1, 0) and (2, - 4) are plotted.
Therefore, the graph of the function y = 2x⁴ - 5x³ + x² - 2x + 4 is plotted and attached.
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DD.1 alculate mean, median, mode, and range What is the mean? If the answer is a decimal, round it to the nearest tenth. 45 46 43 41 43
Answer:
The answer to your question is,
MEAN = 43.6
MEDIAN = 43
MODE = 43
RANGE = 5
Step-by-step explanation:
BC I know math :)