The missing number is 36 so that the equivalent ratios become 3:1, so that the option D is correct.
_______________________________
It is given that Elsa used the multiplication table below to write ratios that are equivalent to 12-4 and one number is missing from the given ratios, we need to find that missing number.
Now, first of all let us understand what are equivalent ratios;
When we compare two ratios, they are said to be equivalent. To determine whether two or more ratios are equivalent, they can be compared to one another. For instance, the ratios 1:2 and 2:4 are equivalent.
Furthermore, in the given question we are given one ratio that is;
=> 12:4 which can also be written as,
=> 3:1
Now, let us assume that the other ratio is x:y than;
=> x:y
So, let us compare both the ratios as they are equivalent ratios;
=> x:y = 3:1
To calculate the other ratio, we need to divide it by 12 so that we get the equivalent ratio;
=> x/12 = 12/4
=> x/12 = 3
=> x = 12 × 3
=> x = 36
So,
=> 36/12 = 12/4
=> 3/1 = 3/1
Therefore, the missing number is 36 so that the equivalent ratios become 3:1, so that the option D is correct.
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4x + 3y = 24
Mario purchased 4 binders that cost x dollars each and 3 notebooks that cost y dollars each. If the given
equation represents this situation, which of the following is the best interpretation of 24 in this context?
A The total cost, in dollars, for all binders purchased
B The total cost, in dollars, for all notebooks purchased
C The total cost, in dollars, for all binders and notebooks purchased
D The difference in the total cost, in dollars, between the number of binders and notebooks purchased
Answer:
C The total cost, in dollars, for all binders and notebooks purchased
Step-by-step explanation:
x = the cost of a binder
y = the cost of a notebook
Mario purchased 4 binders that cost x dollars each and 3 notebooks that cost y dollars each.
4x + 3y = 24
If the given equation represents this situation, which of the following is the best interpretation of 24 in this context?
The total cost, in dollars, for all binders and notebooks purchased.
The average temperature of the Earth is T≈300 K. Use Wien’s Law to calculate the peak wavelength that Earth emits as a blackbody radiator.
The peak wavelength that Earth emits as a blackbody is approximately equal to 9.657 × 10⁻⁶ m.
How to determine the peak wavelength that Earth emits as a blackbody radiator
The Wien's displacement law is a consequence of Planck's radiation law, that states the brightness of a radiative body is a function of wavelength at a given temperature. Wien's displacement law states that peak wavelength is inversely proportional to the temperature (T), in Kelvin. The Wien's displacement law is represented by the following formula:
λ' = b / T
Where:
λ' - Peak wavelength, in meter-Kelvin.T - Temperature, in Kelvin.λ' - Peak wavelength, in meters.If we know that b ≈ 2.897 × 10⁻³ m · K and T ≈ 300 K, then the peak wavelength of the Earth is:
λ' = (2.897 × 10⁻³ m · K) / (300 K)
λ' ≈ 9.657 × 10⁻⁶ m
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Use the properties to rewrite logarithm expressions as a single logarithm
log subscript 2 8 space minus space log subscript 2 4
The value of the logarithm expressions [tex]log_{2} 8 - log_{2} 4[/tex] is 1.
Using only two logarithms at a time, from left to right, use the product property or quotient property of logarithms to rewrite logarithms of the form [tex]log_{b} A - log_{b} B = log_{b} (\frac{A}{B} )[/tex]
The logarithm expressions is [tex]log_{2} 8 - log_{2} 4[/tex].
Use the properties to rewrite logarithm expressions as a single logarithm
Using only two logarithms at a time, from left to right, use the product property or quotient property of logarithms to rewrite logarithms of the form [tex]log_{b} A - log_{b} B = log_{b} (\frac{A}{B} )[/tex]
= [tex]log_{2} 8 - log_{2} 4 = log_{2} (\frac{8}{4} )[/tex]
=[tex]log_{2} 2[/tex]=1
thus the expressions value is 1.
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Find the slope of the line that goes that goes through the giving points
(-9,-2) and (-7,6)
Answer:
8/2 or 4
Step-by-step explanation:
y^2 - y^1 / x^2 - x^1
Which angle number represents an angle adjacent to
SOMEONE PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!
The angle number represents an angle adjacent to ∠DGA is angle 2.
∠DGB.
Which angle is the adjacent angle?When two angles share a shared vertex and side, they are said to be neighboring. The terminus of the rays that create the sides of an angle is referred to as the vertex of an angle. Adjacent angles can be complimentary or supplementary if they have a shared vertex and side.
Briefing:Adjacent angles seem to be two angles that share a shared vertex and then a common side but do not overlap. Angles 1 and 2 in the figure are adjacent. They have the same vertex as well as a common side. In the diagram, angles 1 and 3 are not contiguous.
How can you recognize neighboring angles?When two angles have a common side as well as a common vertex (corner point) but do not overlap, they are said to be adjacent.
What's the distinction here between adjacent angle and?Adjacent angles comprise two angles with the same arm and vertex. When two lines meet at the vertex as well as form a pair of opposite angles, vertical angles are formed. They share an arm and a vertex. They share a vertex of the arm but no arm.
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Rounded to the nearest hundred thousandth, the number 0.00007163 is
Answer:
The answer is 0.00007
Step-by-step explanation:
Because the number behind the 7 was a 1 and not 5 or more, you could not round the 7 up, so it stayed the same.
A number is divided by 3, and then 4 is added to the quotient. the result is 8 find the number
Write a fraction division problem that you can use to find out how long it will take Mel to finish mowing the yard.
The fraction that needs to be mowed is 2/3, The fraction division for the condition is x = 1 - 1/3.
What is a fraction?It represents the number of pieces removed from the whole. The denominator of a fraction is the numerical value that comes before the brings together various.
Given that,
Michael mows = 1/3 of the yards.
Let's say the remaining fraction is x
Remaining fraction = Total fractions - a fraction of the mowed.
x = 1 - 1/3
x = 2/3
Therefore 2/3 fraction still needed to mow.
Hence "The fraction that needs to be mowed is 2/3, The fraction division for the condition is x = 1 - 1/3".
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omg yall someone help me solve this!!!! Simplify (6n) to the power of -2
Answer=0.027777777777778
Step-by-step explanation: = 6−2
=162
=16×6
=136
To prepare for the alignment of numerous pumps, you need to have 50 pieces of 1/8-inch brass shim stock on hand. if you stack the 50 shims on top of each other, how tall would the stack be, shown as a whole or mixed number?
The height of the stack of shim stocks will be 6 1/4 inches.
What will be the height of the stack?A mixed number is a fraction that is made up of a whole number and a proper fraction. A proper fraction is a fraction in which the numerator is less than the denominator. An example of a mixed number is 1 3/5. A whole number is a number that is not made up of a decimal or a fraction.
In order to determine the height of the stack, multiply the width of each shim stock by the total number of pieces. Multiplication is the mathematical operation that is used to determine the product of two or more numbers. The sign used to represent multiplication is x.
Height of the stock = width of one stock x number of pieces
50 x 1/8 = 50 / 8 = 6 2/8 = 6 1/4 inches
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Given that 11th term of an arithmetic progression is u 3 and the first term is 3 find the common difference (b)U th term
The common difference of Uth term is 0
A series of numbers called an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms.
The nth term of the sequence () is given by: If the first term of an arithmetic progression is and the common difference between succeeding members
Formula
a_n=a_1+(n-1)d
a_n = the nth term in the sequence
a_1 = the first term in the sequence
d = the common difference between terms
we gives
a_n=a+(n-1)d
a_11=a+(n-1)d
a_11=a+(11-1)d
a_11=a+10d
a_11=3+10d
10d=-3
d=(-3)/10, a=3
To find the Uth term of sequence
U_n=a+d(n-1)
U_11=a+d(11-1)
apply the value of a=3,d=(-3)/10
U_11=3+((-3)/10 (11-1) )
U_11=3+((-3)/10 (10) )
U_11=3+(-3)
U_11=0
Therefore, Uth term of arithmetic progression is 0.
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IF THERE IS A COEFFICIENT, MULTIPLY THE WHOLE NUMBERS
Answer:
15 rt2
56 rt2
15 rt3
9 rt5
Step-by-step explanation:
[tex]3\sqrt{50} =3\sqrt{5*5*2} =3*5\sqrt{2} =15\sqrt{2}[/tex]
[tex]8\sqrt{98} =8\sqrt{2*7*7} =8*7\sqrt{2} =56\sqrt{2}[/tex]
[tex]5\sqrt{27} =5\sqrt{3*3*3} =5*3\sqrt{3} =15\sqrt{3}[/tex]
[tex]3\sqrt{45}=3 \sqrt{5*3*3} =3*3\sqrt{5} =9\sqrt{5}[/tex]
Find the Distance between -7 and 9 on the real number line.
Answer:
16
Step-by-step explanation:
-7 to 9 is 16 because just doing 9 + 7 is 16.
100 users of s social networking site are chosen for a sample but only 25 respond. what is this an example of?
Answer:
non response bias
Step-by-step explanation:
8. You are planning to advertise your boat for sale on the Internet. The Boat Mart charges $1.30 for a photo plus $0.12 per word. Boat Bargains charges $1.80 for a photo plus $0.10 per word. For what number of words will the charges be the same?
Considering the definition of an equation and the way to solve it, for 25 words the charges will be the same.
Definition of equationAn equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.
The solution of a equation means determining the value that satisfies it. To solve an equation, keep in mind:
Group the terms that contain the variable to be calculated in one member and the independent terms in the other.When a value that is adding, when passing to the other member of the equation, it will subtract.If a value you are subtracting goes to the other side of the equation by adding.When a value you are dividing goes to another side of the equation, it will multiply whatever is on the other side.If a value is multiplying it passes to the other side of the equation, it will pass by dividing everything on the other side.Number of words
Being "x" the number of words, and knowing that:
The Boat Mart charges $1.30 for a photo plus $0.12 per word. → Boat Mart= 1.30 + 0.12xBoat Bargains charges $1.80 for a photo plus $0.10 per word. → Boat Bargains= 1.80 + 0.10xIf the charges are the same, the equation in this case is:
Boat Mart= Boat Bargains
1.30 + 0.12x= 1.80 + 0.10x
Solving:
0.12x - 0.10x= 1.80 - 1.30
0.02x= 0.5
x= 0.5 ÷ 0.02
x= 25
Finally, for 25 words the charges will be the same.
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how many times larger is Florida than new Jersey?
Florida (US) is 7.53 times as big as New Jersey (US).
New Jersey is approximately 19,211 sq km, while Florida is approximately 139,670 sq km, making Florida 627% larger than New Jersey. Meanwhile, the population of New Jersey is ~8.8 million people (10.0 million more people live in Florida).
Florida (US)
Florida is a state located in the southeastern region of the United States. With a population of over 21 million, Florida is the third-most populous and the 22nd-most extensive of the 50 United States. The state is bordered to the west by the Gulf of Mexico, to the northwest by Alabama, to the north by Georgia, to the east by the Atlantic Ocean, and to the south by the Straits of Florida. The state's capital is Tallahassee and its most populous municipality is Jacksonville. The Miami metropolitan area, with a population of almost 6.2 million, is the most populous urban area in Florida and the seventh-most populous in the United States.
New Jersey (US)
New Jersey is a state in the Mid-Atlantic region of the Northeastern United States. It is bordered on the north and east by the state of New York; on the east, southeast, and south by the Atlantic Ocean; on the west by the Delaware River and Pennsylvania; and on the southwest by Delaware Bay and the State of Delaware. New Jersey is the fourth-smallest state by area but the 11th-most populous, with 8,882,190 residents as of 2019 and an area of 8,722.58 square miles, making it the most densely populated of the 50 U.S. states.
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I
Find the equation of the line passing through the points (-15,35) and (15,-19). Write your answer in the
form y=mx+b
Equation of line passing through the points (-15,35) and (15,-19) with slope (m) -54/30 is;
y = -54/30 x + 8
What is equation of line?
Equation of line with slope m is,
y = mx + b
Now, The equation of line is find as;
Slope = -19 - 35 / 15 - (-15) = - 54/30
And, The equation of line in the slope form is;
y = mx + b
For finding the value of b we use any one point and put in the equation of line.
Take point (-15, 35) = (x, y)
Put in the equation of line we get;
35 = -54/30 * (-15) + b
35 = 27 + b
b = 8
Hence, Equation of line passing through the points (-15,35) and (15,-19) with slope (m) -54/30 is;
⇒ y = -54/30 x + 8
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Consider the function ƒ(x)=|x+3|−1.
Which of the following statements describe the graph of f(x)? Select ALL that apply.
Responses
A. The vertex is located at (−3,−1).
B. There is a y-intercept located at (0,−2).
C. There is a y-intercept located at (0,2).
D. There is an x-intercept located at (2,0).
E. There is an x-intercept located at (−4,0).
The statements that describe the graph of f(x) are (a) the vertex of f(x) is located at (−3,−1) and (c) there is a y-intercept located at (0,2).
How to determine the true statements?The equation of the function is given as
f(x) = |x + 3| - 1
The above function is an absolute value function.
An absolute value function is represented as
f(x) = a|x - h| + k
Where
Vertex = (h, k)
This means that the vertex of f(x) is located at (−3,−1)
To calculate the y-intercept, we set x = 0
So, we have
f(0) = |0 + 3| - 1
Evaluate
f(0) = 2
This means that there is a y-intercept located at (0,2).
To calculate the x-intercept, we set y = 0
So, we have
|x + 3| - 1 = 0
Evaluate
x = -2
This means that there is a x-intercept located at (-2, 0).
Hence, the statements that describe the graph of f(x) are (a) the vertex of f(x) is located at (−3,−1) and (c) there is a y-intercept located at (0,2).
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Eddie spends 2.75 on choclate and 1 on cake he has 2/3 0f money left over how much did he start with
Answer:
11.25
Step-by-step explanation:
x/3 = 3.75
x = 11.25
Work has been corrected:
If x - 3.75 = 2/3, then x/3 = 3.75 (3.75 is 1/3 of the total money, X.)
We can find the value of x by isolating the variable:
x/3(3) = 3.75(3)
x = 11.25
Thus the total money, x, is 11.25
Solve this problem by setting up ratios with the information you know.
You know:
Eddie spent 3.75 total on chocolate and cake.He has 2/3 of his money left over after buying chocolate and cakeWith this information, you can assume that he used 1/3 of his money.
With this set up a ratio comparing the numerical amount he spent to the ratio of his total money that he spent:
[tex]\frac{1}{3} =\frac{3.75}{x}[/tex]
x= the total amount of money he started with.
Now cross multiply to come up with a final equation:
x = 3.75 × 3
Solve: x = 11.25
The original amount of money he started with was $11.25
Mia took a taxi from her house to the airport. The taxi company charged a pick-up fee of $1.30 plus $4.25 per mile. The total fare was $31.05, not including the tip. How many miles was the taxi ride?
Answer:
7 miles
Step-by-step explanation:
hey
minus 1.30 from 31.05 because that is the pickup fee, so 31.05-1.30= 29.75
and then divide 29.75 by 4.25 therefore 29.75/4.25=7
Look at the division problem below. 9,654 ÷ 31 Which of the following is the first step to solving this division problem? A. 650 ÷ 31 B. 9,600 ÷ 31 C. 54 ÷ 31 D. 9,000 ÷ 31
Answer: B
Step-by-step explanation:
Answer:
B is your answer
Step-by-step explanation:
Hope its right
Please help!
I am stuck on this question
I will give brainliest!
Thank you so much
(Once you press the photo it’s not blurry btw)
Answer:
1. 5x - 15
2. 5x - 3
Step-by-step explanation:
The first one is f(g(x)), which means that you substitute g(x) into f(x).
5(x - 3)
5x - 15
Vice versa for the 2nd one.
(5x) - 3
5x - 3
Hope this helps! :)
Yellow Bell Farm delivered eggs to various stores around the Hudson Valley. If all the eggs were delivered in cartons that hold a dozen eggs, then how many cartons were delivered?
34 cartons were delivered by the Yellow Bell Farm to various stores in the Hudson Valley.
Let the farm deliver 408 eggs to various stores around the Hudson Valley.
According to the question, a carton contains a dozen eggs.
A dozen is a grouping of twelve objects. It is abbreviated as doz or dz.
1 dozen = 12 eggs
So one carton contains a dozen eggs, or 12 eggs and
12 eggs needs 1 cartoon.
408 eggs needed = 408÷12 = 34 cartons
So 34 cartons were delivered by the yellow farm.
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4. Use the graph for the following:
Please answer
Picture is included
Answer:
(a) 9
(b) -2
Step-by-step explanation:
it is very important to start by finding the equation of the line then substitute in some values.
What is the value or r^2 for the following data to three decimal places.
X. Y
3. 2
4. 4
5. 5
7. 6
10. 20
The value of r² is 0.8673.
Given that x and y are two variables as listed below
We have to find r² the coefficient of determination
x y xy x² y²
3 2 6 9 4
4 4 16 16 16
5 5 25 25 25
7 6 42 49 36
10 20 200 100 400
------------------------------------------
29 37 289 199 481
Mean x = ( 29 / 5 )
Var X= ( 199 / 5 ) - 29 =10.8,
Mean Y = 7.4, Var Y = ( 481/5 ) - 37 = 96.2 - 37 = 59.2
Now,
r = { n(∑xy ) - (∑x)(∑y) } / √ { n( ∑x²) - (∑x )² ) × [ n(∑y²) - (∑y)² ] }
r = { 5 × 289 - 29 × 37 } / √ { ( 5 ( 199 ) - (29)² ) × [ 5( 481 - ( 37 )² ] }
r = { 1445 - 1073 } / √ { ( 995 - 841 ) × [ 2405 - 1369 ] }
r = 372 / √ { ( 154 ) × [ 1036 ] }
Therefore,
r² = ( 372 )² / ( 154 ) × [ 1036 ]
r² = 0.8673
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subtracting linear expressions
6. B. 2x + 6
7. A. 4x + 5
8. B. 3x + 10
9. C. This is because like terms are terms that have the same variables, for example: 6x - 9x, 12y - 4y, 3a + 5a. In the other choices, we can see that they are unlike terms, not like terms.
a number, a, rounded to 1 decimal point is 49.3. A number, b, rounded to 1 decimal point is 7.6. what are the upper and lower bounds of a-b
If a number, a, rounded to 1 decimal point is 49.3. A number, b, rounded to 1 decimal point is 7.6 the upper and lower bounds of a-b is: 41.66; 41.79.
Upper and lower boundsGiven:
A= 49.3
B=7.6
Now let find the lower bounds and the upper bounds
Lower bounds is calculated as:
Lower bounds=a-b
Lower bounds=49.35-7.69
Lower bounds=41.66
Upper bounds is calculated as:
Upper bounds=a-b
Upper bounds=49.34-7.55
Upper bounds=41.79
Therefore If a number, a, rounded to 1 decimal point is 49.3. A number, b, rounded to 1 decimal point is 7.6 the upper and lower bounds of a-b is: 41.66; 41.79.
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Enter the angle measures of ABC
The angles in the picture are calculated and their values are as follows:
< ABC = 37.63 degrees < BCA = 72.55 degrees< CAB = 69.82 degreesHow to solve for the angles <ABC, <BCA and < CABGiven data
a = 3
b = 3.2
c = 5
using cosine rule for <ABC
b^2 = a^2 + c^2 - 2ac cos B
2ac cos B = a^2 + c^2 - b^2
cos B = (a^2 + c^2 - b^2) / 2ac
cos B = (3^2 + 5^2 - 3.2^2) / 2*3*5
cos B = 23.76/30
B = arc cos (0.792)
B = 37.63 degrees
using sine rule for <BCA
sine B / b = sin C / c
sin 37.63/ 3.2 = sim C / 5
C = arc sin (0.954)
C = 72.55
solving for <CAB
< CAB = 180 - 72.55 - 37.63
< CAB = 69.82 degrees
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In Alaska, the lowest temperature ever recorded is -80 degree F and the highest temperature ever recorded is 100 degrees F. Write an inequality that represents the range of temperatures (in degrees Celsius) in Alaska.
The equivalent temperature range of the expression is -80 < x < 100.
Inequality expressionsInequality are expressions not separated by an equal sign. Inequality expressions can be written as a range in an interval form a<x<b.
According to the given question, we are told that the lowest temperature ever recorded in Alaska is -80 degree F and the highest temperature ever recorded is 100 degrees F.
The range of the temperature expressed as inequality expression is -80<x<100
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can people help me with my homework it is due tomorow and i don't want to get a detention