Answer:
smaller number is 26
larger number is 28
Step-by-step explanation:
This is a system of equations that we can solve by substitution. Let x = the smaller number and y the larger. The two equations are:
x + y = 54
x + 5y = 166
Solve the first equation for y and use that in the second equation.
y = 54 - x (we will plug this in for y in the second equation and solve that for x)
x + 5(54 - x) = 166
x + 270 - 5x = 166
-4x = 166 - 270
-4x = -104
x = 26
Plug this into x + y = 54 and solve for y
26 + y = 54
y = 54 - 26
y = 28
All my points please help! Given a unit circle, what is the value for y?
the value of y for the given circle will be 1 / 50 ( approx).
We are given a unit circle.
So, we get that:
centre = (0, 0)
Equation of the circle will be
x² + y² = 1
Now, we have a point (- 17 / 20, y)
Substituting the values in the equation, we get that:
(- 17 / 20)² + y² = 1
343 / 400 + y² = 1
y² = 57 / 400
y = 1 / 50 ( approx)
Therefore, we get that, the value of y for the given circle will be 1 / 50 ( approx).
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Answer: top one is 111 dont know bottom
Step-by-step explanation:
<3
What are the solutions to the equation x-7/x=6?
x=-7 and x=1
x=-6 and x=-1
x=-1 and x=7
x=1 and x=6
Answer:
x=7
7-7/7-6=0
0/1=0
Zero divided by anything=0
Select all the expressions equivalent to (81)3/5
((81)1/5)3
0 ((81)1/3)5
((81)1/3)5
((81)5)1/3
3(81)5
5(81)³
 If a student has a GPA of 3.0, the student gets the “good student discount”, which is a discount of 20%. Write a function that represents the discount on the monthly premium for a “good student”. call this function S.
S(x) + 0.20(x/12) = 0
S(x) = -0.20(x/12) it is a function that represents the discount on the monthly premium for a “good student.
From the question,
A student has a GPA of 3.0 gets good student discount of 20%
Write a function with ‘S’ that represents the discount of the monthly premium for a good student.
S(x) = -0.20(x ÷ 12)
S(x) is a function and student got a discount of 20%.
i.e., 20/100 = 0.20
The function that represents the discount on the monthly premium so x/12
An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable (the dependent variable). In mathematics and the sciences, functions are fundamental for constructing physical relationships.
Hence, it s a function that represents the discount on the monthly premium for a “good student.
S(x) + 0.20(x/12) = 0
S(x) = -0.20(x/12)
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When an automobile travels uphill or downhill on a highway, it experiences a force due to gravity. This force in pounds is called grade resistance and is modeled by the equation below, where theta is the grade and W is the weight of the automobile.
F = Wsin theta
A 2710-lb car traveling uphill has a grade resistance of 160 lb. What is the angle of the grade?
theta =__.
(Type your answer in degrees. Round to the nearest hundredth as needed.)
Based on the calculations, the angle (θ) of the grade to the nearest hundredth is equal to 3.38 degrees.
What is an equation?An equation can be defined as a mathematical expression which shows that two (2) or more thing are equal.
In Science, grade resistance simply refers to force in pounds and can be modeled by the following equation:
F = Wsinθ
Where:
F represents the grade resistance or force in pounds.θ represents the grade W represents the weight of a physical object.Making theta (θ) the subject of formula, we have:
θ = sin⁻¹(F/W)
Substituting the given parameters into the formula, we have;
θ = sin⁻¹(160/2710)
θ = sin⁻¹(0.0590)
Theta, θ = 3.38 degrees.
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A design for a library has a scale of 1/3 in= 1ft. The height of the library in the drawing is 12 inches. What is the
actual height of the library?
A library's design is scaled at [tex]\frac{1}{3}[/tex] inch = 1 feet. The library in the drawing is 12 inches height. The library's true height is 432 inches, or 36 feet.
Given that,
A library's design is scaled at [tex]\frac{1}{3}[/tex] inch = 1 feet.
The library in the drawing is 12 inches height.
We can take [tex]\frac{1}{3}[/tex] inch = 1 feet
1 inch=3 feet = 36 inches.
36 inches is the actual height .
Now actual height of the library is
Multiplication of the height of the library in the drawing is 12 inches and the new height 36 inches.
12[tex]\times[/tex]36=432 inches
We can say 432 inches is equal to 36 feet.
Therefore, 432 inches or 36 feet is the actual height of the library.
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Maya is 12 years old and Sophia is 15 years older than Maya. In how many years will Sophia be twice has old as Maya
Sophia will be twice as old as Maya in 3 years
Solving equationsFrom the question, we are to determine the number of years when Sophia will be twice as old as Maya
From the given information,
"Maya is 12 years old"
and
"Sophia is 15 years older than Maya"
Thus,
Sophia is 12 + 15 years
Sophia is 27 years
Let the number of years when Sophia will be twice as old as Maya be x
Then,
27 + x = 2(12 + x)
Solve for x
27 + x = 24 + 2x
27 - 24 = 2x - x
3 = x
x = 3
Hence, Sophia will be twice as old as Maya in 3 years
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Which expression is equivalent to
A:4x
B:4x+4
C:x^2+7x+10
D:-x^2-5x-6
Answer:
A
Step-by-step explanation:
x + 2 + [ 4x - [tex]\frac{x^2+6x+8}{x+4}[/tex] ] ← factorise the quadratic on the numerator
= x + 2 + [ 4x - [tex]\frac{(x+4)(x+2)}{x+4}[/tex] ] ← cancel (x + 4) on numerator/denominator
= x + 2 + (4x - (x + 2)
= x + 2 + 4x - x - 2 ← collect like terms
= 4x
How do you find the quotient of 45/9
The quotient of the given fraction 45/9 is 5.
What is division?The division is one of the four basic operations of arithmetic, which are the methods by which numbers are combined to form new numbers. Addition, subtraction, and multiplication are the other operations.At the most basic level, the division of two natural numbers is the process of calculating the number of times one number is contained within another.Quotient:
A quotient is a quantity produced by the division of two numbers in arithmetic. The quotient is widely used in mathematics and is also known as the integer part of a division, a fraction, or a ratio.So, the quotient of 45/9 is 5 as:
45 ÷ 9 = 5
(Refer to the picture given below for working)
Therefore, the quotient of the given fraction is 5.
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Dosage 2 tablets, 4x per day 26 tablets per bottle
log 5 = 0.69897, log 3 = 0.47712 and log 2 = 0.30103. evaluate log 4 and log 15
Answer: log4=0.60206 log15=1,17579
Step-by-step explanation:
[tex]log4=\\log2^2=\\2log2=\\2(0.30103)=\\0.60206\\\\log15=\\log(3*5)=\\log3+log5=\\0.47712+0.69897=\\1.17579[/tex]
Find the value of x the diagram is not a scale
○ 83
○ 97
○ 132
○ 41
Answer:
132
Step-by-step explanation:
.....................................
f(1)=30,f(n)=2xf(n-1)-50
Answer: f(0)=40/x
Step-by-step explanation:
f(n)=2xf(n-1)-50
f(1)=2xf(1-1)-50
f(1)=2xf(0)-50
30=2xf(0)-50
2xf(0)=80
f(0)=80/(2x)
f(0)=40/x
A circle has a diameter with endpoints
at A (-3, -12) and B(-7, 4). The point
M(-5, -4) lies on the diameter
What is the distance from A to M (Round to 2 decimal place
What is the distance from B to M (Round to 2 decimal places)
The measure of AM and BM from the given coordinate points are 8.37 units respectively
Distance between coordinatesThe formula for calculating the distance between coordinate points is expressed according to the equation
D = √(x₂-x₁)²+(y₂-y₁)²
Given the coordinate points A (-3, -12) and M(-5, -4). The measure of the distance AM is expressed as:
AM = √(-4+12)²+(-5+3)²
AM = √(8)²+(-2)²
AM = √70
AM = 8.37 units
Similarly;
Given the coordinate points B(-7, 4). and M(-5, -4). The measure of the distance AM is expressed as:
BM = √(-4-4)²+(-5+7)²
BM = √(-8)²+(2)²
BM = √70
BM = 8.37 units
Hence the measure of AM and BM from the given coordinate points are 8.37 units respectively
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Which strategy for multiplying 75 and 63 should result In the correct product
With the partial product method the multiplication answer is 4725.
According to the statement
We have to find that the by which strategy for multiplying 75 and 63 should result In the correct product.
So, For this purpose, we know that the
The partial product method involves multiplying each digit of a number in turn with each digit of another where each digit maintains its place.
From the given information:
We have to multiply the numbers 75 and the 63.
Then
According to the above written strategy,
75 = 70+5 and
63 = 60+3
Then
75*63 = (70*60) + (70*3) + (5*60) + (5*3)
then solve it
75*63 = (4200) + (210) + (300) + (15)
75*63 = 4410 + 315
75*63 = 4725.
So, With the partial product method the multiplication answer is 4725.
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Jakob is working on his math homework. He decides that the sum of the expression? 1/3+6
No, jacob is not correct.
What is a fraction?A fraction consisting of a quotient and remainder is a mixed fraction. we can convert the mixed fraction to improper fraction by first dividing the numerator by denominator and then taking the quotient as whole number and remainder as the numerator of proper fraction keeping the denominator same.
We are given that;
Expression= 1/3 + 6sqrt5/7
Now,
The sum of the expression 1/3 + 6sqrt5/7 is not rational, even though it is a fraction. A rational number is a number that can be written as the ratio of two integers, such as 1/3 or -4/5. An irrational number is a number that cannot be written as the ratio of two integers, such as sqrt2 or pi.
The expression 1/3 + 6sqrt5/7 contains an irrational term, 6sqrt5/7. This term cannot be simplified to the ratio of two integers, because sqrt5 is irrational. Therefore, adding this term to 1/3 does not make it rational. The sum of a rational and an irrational number is always irrational.
Therefore, by the fraction the answer will be No.
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Gind the greatest common factor for the list of terms.
98ab^3, 84a, 140b, 112ab
Answer:
14
Step-by-step explanation:
You want the greatest common factor of the terms {98ab^3, 84a, 140b, 112ab}.
Common factorsThere are no variables that are common to all terms. 'a' and 'b' are each common to 3 of the 4 terms, but not all.
The greatest common factor of the constants cannot be larger than the smallest difference of the constants. That difference is ...
98 -84 = 112 -98 = 14
Since 14 is a divisor of all of the constants, 14 is the greatest common factor.
__
Additional comment
Factoring out the greatest common factor, we have ...
= 14{7ab³, 6a, 10b, 8ab}
Can someone help me with this question? It's due tomorrow :(
Answer:1,3
Step-by-step explanation: it is reflecting over the x-axis, not the y-axis. when answering these questions, keep in my what axis you're working with. hope this helps.
Use z scores to compare the given values.
K
In a recent awards ceremony, the age of the winner for best actor was 31 and the age of the winner for best actress was 42. For all best actors, the mean age is 42.4 years and the
standard deviation is 8.2 years. For all best actresses, the mean age is 31.6 years and the standard deviation is 10.3 years. (All ages are determined at the time of the
awards ceremony.) Relative to their genders, who had the more extreme age when winning the award, the actor or the actress? Explain.
Since the z score for the actor is z= and the z score for the actress is z-, the
had the more extreme age.
So the best actor's age deviates from the mean, he receives the award at the most extreme age.
What is defined as the z score?The z-score of a way of measuring X in a set with mean and standard deviation is given by: z = (x - μ)/σ.The Z-score indicates how far the measure deviates from the mean. After determining the Z-score, we examine the z-score table to determine the p-value connected with this z-score. This p-value represents the probability also that measure's value is less than X, or the percentile of X. Subtracting 1 from the p-value yields the probability that measure's value is greater than X.In response to this question:
Whichever z-score does have the highest absolute value, such that, the one that deviates the most from the mean, has a most extreme age.
Best actor: 31 years old, so.
The mean age of the best actors is 42.2 years, with a standard deviation of 8.2 years.
z = (x - μ)/σ
Put the values;
z = (31 - 42.2)/ 8.2
z = -1.36
Best actress:
So, at the age of 42,
The mean of the best actresses is 31.6 years, with a standard deviation of 10.3 years.
z = (x - μ)/σ
Put the values;
z = (42 - 31.6)/10.3
z = 1.01
Thus, Because the best actor's age is further from the mean, he has the most extreme age when receiving the award.
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on the way to the mousetrap car contest the judge drove from Exit 32 on the highway to exit 170 in 2 hours. exita 32 and 170 are 138 miles apart. did the judge follow the speed limit of 65 mph? explain
Answer: The judge did not follow the speed limit of 65mph because if she did she would have not gotten there in 2 hours. The judge was actually going at 85 mph.
Step-by-step explanation:
Explore and describe the similarities, differences, and interplay between weighted voting, fair division and apportionment.
Weighted vote is the policy of law-making where each representative has a variable voting power.
How to illustrate the information?A policy- or law-making body may use weighted voting, where each representative has a variable voting power (weighted vote) based on the number of principals who have designated them as their proxy or the size of the electorate they represent.
The challenge of distributing resources fairly among a group of individuals is to ensure that each person is given their fair share. This is fair division.
Representatives are apportioned among the states in order to create a fair split or distribution. This is apportionment.
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In an equilateral triangle, all side lengths are equal and all angle measures are equal. Sketch an equilateral triangle. What are the measures of its angles??
Answer:
every angle equals 60°
Step-by-step explanation:
the sum of angles of any triangle is 180 so the equilateral triangle have all angles equal so 180 ÷ 3 = 60
The length of a certain rectangle is 10m greater than twice its width. If the width were reduced by 20m and the length increased by 100m, the perimeter of the new rectangle would be twice the perimeter of the original rectangle. What are the dimensions of the original rectangle?
The dimensions of the original rectangle is a length of 56.66 meter and width of 23.33 meter.
What is perimeter?Perimeter is the sum of all the sides of a two dimensional polygon or shape.
For first rectangle let x represent width:
Length = 2x + 10; width = x
Perimeter = 2(length + width)
Perimeter = 2(2x + 10 + x) = 6x + 20
For second rectangle:
Length = 2x + 10 + 100 = 2x + 110; width = x - 20
Perimeter = 2(length + width)
Perimeter = 2(2x + 110 + x - 20) = 6x + 180
the perimeter of the new rectangle would be twice the perimeter of the original rectangle. Hence:
6x + 180 = 2(6x + 20)
x = 23.33 m, length = 2x + 10 = 56.66
The dimensions of the original rectangle is a length of 56.66 meter and width of 23.33 meter.
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There are N coins, each showing either heads or tails. We would like the number of coins showing heads to be equal to the number showing tails. What is the minimum number of coins that mmust be turned over?
Write a function:
int solution (vector &A);
that, given an array A consisting of N integers representing the coins,
returns the minimum number of coins that must be flipped.
Consecutive elements of array A represent consecutive coins, and contain either a 0 (heads) or a 1 (tails).
Examples:
1. Given array A = [1, 0, 0, 1, 0, 0], there are four coins showing heads and two showing tails. The function should return 1, as after reversing one of the coins showing heads, there will be three coins showing heads and three showing tails.
Array A = [1, 0, 0, 1, 0, 0], there are four coins showing heads and two showing tails.
def solution(A):
n = len(A)
dp = [[0 for x in range(2)] for y in range(n)]
if A[n-1] == 0:
dp[n-1][0] = 0
dp[n-1][1] = 1
else:
dp[n-1][0] = 1
dp[n-1][1] = 0
for i in reversed(range(len(A)-1)):
if A[0] == 0:
dp[i][0] = dp[i+1][1]
dp[i][1] = dp[i+1][0] + 1
else:
dp[i][0] = dp[i+1][1] + 1
dp[i][1] = dp[i+1][0]
return min(dp[0][0], dp[0][1])
An array of computer drives is a collection of two or more drives that operate as a single drive. For instance, in a RAID array, a user may make use of numerous drives that are mirror images of one another to help secure the data stored on the drives.
A data structure called an array consists of a set of elements (values or variables), each of which is identifiable by an array index or key. Depending on the language, additional data types that describe aggregates of values, such lists and strings, may overlap (or be associated with) array types.
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what do i write in the blank and how do i solve
Answer:
I know that the inequality is 85-4x<40
but im not sure on how to solve it, i think the answer is 12
becuase
85-4(12)< 40
85-48<40
37<40
Step-by-step explanation:
Answer: 85 - 4x < 40; 11
Step-by-step explanation:
85 - 4x < 40
-85 -85
- 4x < -45
[When dividing a negative number, change the inequality sign to the opposite sign.]
x > 11.25
The the cars was integer, and x is greater than 11.25, therefore, Mr.Schwantz will need to order more wheels after building 11 cars.
If AB = 12 and BC = 3, what is AC?
Answer: AC=15
Step-by-step explanation:
AC=AB+BC
AC=12+3
AC=15
Answer:
[tex]\frac{36}{B^2}[/tex]
Step-by-step explanation:
Given:
[tex]AB=12\\BC=3[/tex]
Find:
[tex]AC[/tex]
First, arrange equation 1 to isolate A by dividing both sides by B:
[tex]AB=12\\A=\frac{12}{B}[/tex]
Then, arrange equation 2 to isolate C by dividing both sides by B:
[tex]BC=3\\C=\frac{3}{B}[/tex]
Now, multiply A and C together and simplify:
[tex]AC=\frac{12}{B}*\frac{3}{B}[/tex]
[tex]AC=\frac{36}{B^2}[/tex]
please help if know how to solve
Answer: 12x+17
Step-by-step explanation:
(hog)(x)=
h(g(x))=
h(4x+5)=
3(4x+5)+2=
12x+15+2=12x+17
Answer:
honestly, I don’t think I’m right
Step-by-step explanation:
big stonez post the lyrics for brainliest
help pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Step-by-step explanation:
f(x) = 4x + 15
6x - 3
if x = -1 (replace x with -1 )
f(-1) = 4(-1) + 15
6(-1) -3
= -4 + 15
-6 -3
= -11
-9
"minus cancel each other when dividing"
Answer = 11
9 or 1.22
Hope this helps ...:-)
The cost of a dozen eggs is $2.50. At this store you must by them in packs by the dozen and they do not allow you to buy more than 6 dozen eggs at a time. State a reasonable domain for this situation.
The reasonable domain for this situation is { 1, 2, 3, 4, 5, 6 }.
What is a set ?A set is a well defined collection of objects.Set are represented by many forms two of them are set builder form and roaster form.
According to the given question The cost of a dozen eggs is 2.50 dollars.
At this store you must by them in packs by the dozen and they do not allow you to buy more than 6 dozen eggs at a time,So we can buy eggs in dozen from 1 dozen to 6 dozen.
This can be represented in roaster form by { 1, 2, 3, 4, 5, 6 }.
This can also be represented by set builder form as { x : x ∈ N and 1≤x≤6 }
where x represents no. of dozens of egg.
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