Answers
Answer:
look it up
Step-by-step explanation:
The solution of system of equations is (3.5, 3.5).
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
1) 1/2 (12x+8) -1/3 (24)=1/4 (16x+40)
6x+4-8=4x+10
6x-4=4x+10
6x-4x=10+4
2x=14
x=7
Therefore, the value of x is 7.
3) y=3x-7 -------(i) and -y=x-7 -------(ii)
Substitute equation (i) in equation (ii), we get
-(3x-7)=x-7
-3x+7=x-7
x+3x=7+7
4x=14
x=14/4
x=3.5
Substitute x=3.5 in equation (i), we get
y=3×3.5-7
y=10.5-7
y=3.5
So, the solution is (3.5, 3.5)
4) Production of chairs from Anthony
(2, 10) and (5, 25)
Here, m=(25-10)/(5-2)
= 15/3
= 5
Substitute m=5 and (x, y)=(2, 10) in y=mx+c, we get
10=5(2)+c
c=0
Substitute m=5 and c=0 in y=mx+c, we get y=5x
Production of chairs from Billy
(1, 2) and (4, 8)
Here, m=(8-2)/(4-1)
= 6/3
= 2
Substitute m=2 and (x, y)=(1, 2) in y=mx+c, we get
2=2(1)+c
c=0
Substitute m=2 and c=0 in y=mx+c, we get y=2x
When y=18
Production of chairs from Billy 18=5x
x=3.6
When y=18
Production of chairs from Anthony
18=2x
x=9
Therefore, the solution of system of equations is (3.5, 3.5).
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Related Questions
Which of the following is larger and why? (Math 8th)
4.235 x 104 and 7.152 x 103
Answers
Answer:
4.245 x 10^4
Step-by-step explanation:
10^4 = 10,000
10^3 = 1,000
4.235 * 10,000 = 42,350
7.152 * 1,000 = 7,152
Which of the following best describes the expression 9(x + 7)? (5 points)
a
The sum of 9 plus some number plus 7
b
The product of 9 plus some number plus 7
c
The product of 9 and some number plus 7
d
The sum of 9 multiplied by some number plus 7
plsss help asap
Answers
Answer:
I guess D. the sum of 9 multiplied by some number plus 7
Kevin ours more than emily each time they work together. Using this information, complete the table
Sorry for bad quality
Answers
Answer:
i believe the last one would be 9 for the number of hours kevin works.
Step-by-step explanation:
-100x – 100 = 0
-100x =
X =
Answers
Answer:
-1
Step-by-step explanation:
-100x-100=0
-100x=100
x/-100=100/-100
x=-1
When you are solving for a variable your goal is to get the variable by it seff.
x = -1
- 100x = 100
Step-by-step explanation:
[tex] - 100x - 100 = 0[/tex]
Move the constant to the right side and change the sign
[tex] - 100x = 100[/tex]
Change the sign of both side of the equation
[tex]100x = - 100[/tex]
Divide both side by the same number
[tex]x = - 1[/tex]
[tex] - 100x[/tex]
[tex] - 100 \times - 1[/tex]
Remove the ( - ) sign since negative number are multiplied by even number...
[tex]100 \times 1 \\ 100[/tex]
Use substitution to solve the system.
-4x+5y = -26
y = 3x-14
Answers
Answer:
x= 4, y= -2
Step-by-step explanation:
To solve the system by substitution, start by labelling the two equations:
-4x +5y= -26 -----(1)
y= 3x -14 -----(2)
Since the second equation already has y as the subject of formula, we can substitute equation (2) into (1). This means that we can replace all the 'y's in equation (1) with 3x -4, such that equation (1) will only be in terms of x.
Substitute (2) into (1):
-4x +5(3x -14)= -26
Expand:
-4x +15x -70= -26
11x= 70 -26
11x= 44
Divide both sides by 11:
x= 44 ÷11
x= 4
Substitute x= 4 into (2):
y= 3(4) -14
y= 12 -14
y= -2
Which loan has the lowest total repayment?
Answers
==========================================================
Explanation:
Refer back to this related question
https://brainly.com/question/27362373
In that link I detail how to find that
Loan A has a monthly payment of $348.50Loan B has a monthly payment of $518.02Loan A has a duration of 5 years, aka 5*12 = 60 months. Over those 60 months, you'll pay back a total of 60*348.50 = 20,910 dollars for loan A.
Loan B has a shorter duration of 3 years = 3*12 = 36 months. Therefore, you'll pay back 36*518.02 = 18,648.72 dollars in total for loan B.
---------------
Summary total repayment
Loan A = 20,910 dollarsLoan B = 18,648.72 dollarsWe have loan B as the winner in terms of the lowest total repayment. The longer a loan is, the higher chances are that you'll pay back more in interest (thereby making the total repayment larger).
Answer :
Loan BExplanation :
Loan A's monthly payment → $348.50Loan B's monthly payment → $518.02Cost of Loan A repayment
Duration = 5 years = 5 x 12 = 60 monthsCost = 60 x 348.50 = $20,910Cost of Loan B repayment
Loan B has a shorter duration of 3 years = 3*12 = 36 months. Therefore, you'll pay back 36*518.02 = 18,648.72 dollars in total for loan B.
Duration = 3 years = 3 x 12 = 36 monthsCost = 36 x 518.02 = $18,648.72Clearly, Loan B has the lowest total repayment.
Divide.
0.4) 29
Enter your answer as a decimal in the box.
Answers
Answer:
0.0138
Step-by-step explanation:
the division gives a value which is almost recurring hence we round off to get 0.0138
Answer:
72.5 (I did the math)
How many lines of symmetry does the letter have?
0
1
2
3
Answers
Give the name (monomial,
binomial, trinomial etc.) and
degree of the polynomial.
V29x6
Answers
Answer:
x 3 -2x
Step-by-step explanation:
9/18+1/3 calculator doesn’t have it pls help
Answers
Answer:
5/6
Step-by-step explanation:
9/18 + 1/3
Convert 1/3 to match 9/18:
1/3 = 6/18
1 * 6 = 6
------------
3 * 6 = 18
6/18
9/18 + 6/18
15/18
Find the GCF of 15 and 18:
15
1, 3, 5, 15
18
1, 2, 3, 6, 9, 18
Divide:
15 ÷ 3
-------
18 ÷ 3
5/6 <== final answer
Hope this helps!
olive oil is $7.98 for 36 ounces. What is its unit rate? Round your answer to the nearest cent
Answers
Answer:
22 cents
Step-by-step explanation:
Rounding the number $0.2217 to the nearest cent, we get $0.22.
Brody made his specialty dessert last night. He used 1/2 cup of white sugar and 2/3 cup of brown sugar. How much more brown sugar did Brody use than white sugar?
Answers
Answer:
1/6
Step-by-step explanation:
Tell me if you need one
In one or two sentences, explain how Archimedes' principle can be used to find out an object's density if you already know its mass
Answers
Answer:
The heaviness of displace fluid is equivalent to the buoyant force on a object that is submerged. When you get the mass from this, you may divide it by the volume in order to obtain the measure of the average density of the object.
Step-by-step explanation:
first to answer correctly will be marked brainliest
Answers
Answer:
I have no clue but i need brainliest
Step-by-step explanation:
a soccer ball went on sale from 30 to 24 by what percentage was the price of the soccer ball reduce
Answers
Answer:
20%
Step-by-step explanation:
It was reduced by 20%. 24 is 80% of 30.
Factorise the following quadratic:
m^2 - 5m + 6
Answers
Answer:
(m-3)(m-2)
Step-by-step explanation:
Here,
m^2- 5m + 6
=m^2-(3+2)m +6
=m^2 - 3m - 2m +6
=m(m - 3) - 2 (m - 3)
=(m-3)(m-2)
Does anyone know if this is right?
In the diagram below, m//n. Select all of the angles that are congruent to 21
Answers
Not sure about Angle. 13
A student spent $18 for a haircut this week. Which event, when combined with the student spending $18, will result in the student having $0 remaining?
A. The student earned $18 for cleaning out his neighbor's garage.
B. The student paid his little brother $18 for doing his chores.
C. The student purchased a gift for his mom for $18.
D. The student gave $18 to a friend.
Answers
Answer:
A. The student earned $18 for cleaning out his neighbor's garage.
Step-by-step explanation:
Since it given that a student spend $18 for a haircut this week also means that she/he gave away $18 also known as -$18.
Thus, base on the given answer choices:
[A] is the only one that can make it positive.
Going through all answer choice:
A. The student earned $18 for cleaning out his neighbor's garage.
Earned = +
B. The student paid his little brother $18 for doing his chores.
Paid = -
C. The student purchased a gift for his mom for $18.
Purchased = -
D. The student gave $18 to a friend.
Gave = -
Hence, Answer is A. The student earned $18 for cleaning out his neighbor's garage.
~lenvy~
Answer:
A. The student earned $18 for cleaning out his neighbor's garage.
Step-by-step explanation:
Since given that A student spent $18 for a haircut this week and asking for Which event, when combined with the student spending $18, will result in the student having $0 remaining
Thus, we know that spending is negative because we are using it so it -18
Base on the given answer choice below we can infer that
earned = +
Paid = -
Purchased = -
Gave = -
The only way to make it back with a $0 is to add $18
Thus the answer is A. The student earned $18 for cleaning out his neighbor's garage.
[RevyBreeze]
An equilateral triangle has an altitude of 7cm. Which of the following have a proportional relationship to the altitude? Select all that apply.
A. Perimeter
B. Sides
C. Angles
D. Area
E. Vertices
Answers
Answer:
A. Perimeter
B. Sides
D. Area
Step-by-step explanation:
Suppose a triangle ABC has sides each of length a
formula:
The altitude of the triangle h equal to :
[tex]h=\frac{\sqrt{3}}{2} a[/tex]
________
Perimeter:
Let’s P be the perimeter of the triangle ABC then P = 3a
[tex]\frac{P}{h}=\frac{3 a}{\frac{\sqrt{3}}{2} a}=\frac{3}{\frac{\sqrt{3}}{2}}=2 \frac{3}{\sqrt{3}}=2 \sqrt{3}[/tex]
P/h is a constant then The perimeter has a proportional relationship to the altitude
______
Sides :
[tex]\frac{h}{a}=\frac{\frac{\sqrt{3}}{2} a}{a}=\frac{\sqrt{3}}{2}[/tex]
h/a is a constant then The side has a proportional relationship to the altitude
______
Area :
Let A be the area of the triangle
[tex]\frac{A}{h}=\frac{a \times h}{h}=a[/tex]
A/h is a constant then The area has a proportional relationship to the altitude
_____
Angles :
The measure Of each angle of an equilateral triangle is always equal to 60°
60/h is not a constant then there is no proportional relationship
______
Vertices:
The vertices are points and not numbers so there is no proportional relationship.
(3.6×10−5)÷(9×10−7) in Standard Form
Answers
Answer: 31/83 (decimal form 0.373494)
Step-by-step explanation:
Can someone please help me I will give y’all brainiest or whatever please
Answers
Answer:
c
Step-by-step explanation:
1 translates to 2 because it moves up and over
and 2 is a reflection of 3 because its a mirror image
What is 10÷2/3?
A.) 1/15
B.) 3/20
C.) 20/3
D.) 15
Answers
Let's first write out 10 ÷ 2/3:
[tex]\frac{10}{\frac{2}{3} }[/tex]
When we divide by a fraction, we flip the fraction 2/3 into 3/2 so that we can multiply it by 10, so:
[tex]\frac{10}{\frac{2}{3} } =10*\frac{3}{2} =5 * 3=15[/tex]
Thus the answer is 15
Hope that helps!
quick qustion the answer is at the tip of my tong but I cant seem to get it right what is 100 divided by 2
Answers
Answer:
50
Step-by-step explanation:
100/2=50
Answer:
100 divided by 2 is 50
Step-by-step explanation:
i just did it in my head
The graph shown below expresses a radical function that can be written in the form f(x)=a(x+k)^1/n +c.what does the graph tell you about the value of a in this function?
Answers
Answer:
a is less than 0
Step-by-step explanation:
The value of a in this function is a is less than 0 .
What is radical function?A radical function contains a radical expression with the independent variable (usually x) in the radicand. Usually radical equations where the radical is a square root is called square root functions. An example of a radical function would be. y=√x.
According to the question
Radical function that can be written in the form
[tex]f(x)=a(x+k)^{1/n} +c.[/tex] ------------------------(1)
By solving this equation we will get value of a and c
differentiating the equation
[tex]f'(x)=\frac{1}{n}* (a(x+k)^{1/n-1})[/tex]
therefore
[tex]((x+k)^{1/n-1}) > 0[/tex]
As graph is decreasing monotonically
[tex]\frac{a}{n} < 0[/tex]
as n will be always n>0 ,
so a < 0
Now taking value of f(x)= 0 in equation (1)
[tex]f(x)=a(x+k)^{1/n} +c[/tex]
[tex]0 =-a(x_{0} + k)^{1/n} +c[/tex] as (a < 0)
[tex]0=-a(k)^{1/n} +c[/tex]
[tex]-c =-a(k)^{1/n}[/tex] multiplying (-1) both side
[tex]c =a(k)^{1/n}[/tex]
i.e
c > 0
Hence, the value of a in this function is a is less than 0 .
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Help!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
5pi in
6.25 pi in²
Step-by-step explanation:
The solution is attached
the answer is done by using similarity
MARK ME AS BRAINLISTAnswer:
EDIT: Answer was lost twice when saving, not answering again. Please delete if possible.
66 books in 2 boxes how meany
books per box?
Answers
Answer:
33
Step-by-step explanation:
Jorden has $275 in his bank account. The bank will pay Jorden 4% interest per year on the value of his account. If Jorden doesn’t add to his account or withdraw any money, how much will he have in his account after one year?
Answers
Answer: $11.00
Step-by-step explanation: Please see attached PDF.
Find the value of X and y in this figure
Answers
Answer:
Step-by-step explanation:
15. Starting at the age of 40, an average man loms 5% of his hair every year. At
what aye should an average man expect to have hall his hair left?
Answers
Answer:
I think 50 yrs old
Step-by-step explanation:
I'm not good at percentages, but if you have 100% hair, and lose 5% every year, 5x10= 50 which can be written as 50%, meaning half of 100%
Students in Mrs. Anderson’s health class are learning about how exercise affects your heart rate. Twelve students ran around the school track for different lengths of time. Then they measured their heart rates in beats per minute. Heart Rate Record Minutes Heart Rate (bpm) 7 121 8 136 7 122 4 96 3 90 6 120 7 118 4 98 2 84 5 110 7 118 8 128 Find the correlation coefficient of the data. Round to the nearest hundredth
Answers
Answer:
While resting, his heart rate is at 60 bpm. After sprinting, his heart rate is at 130bmp. The difference is 130 - 60 = 70
Step-by-step explanation:
i hope this helps
The correlation coefficient of the given data about time and heart rates is 0.98.
What is correlation coefficient?A correlation coefficient is a statistical measure of the degree to which changes to the value of one variable expect change to the value of another.
How to calculate correlation coefficient?We have been given time and heart rates of students in Mrs. Anderson's health class and we have to find the value of correlation coefficient.
The formula by Karl Pearson to calculate correlation coefficient is as under:
Correlation coefficient=
=∑(x-x bar)(y-y bar)/[tex]\sqrt{sum(x-x bar)^{2} } \sqrt{sum(y-y bar)^{2} }[/tex]
We have to calculate figures required to fill in the formula which are:
∑(x-x bar)(y-y bar)=350
∑[tex](x-x bar)^{2}[/tex]=44.67
∑[tex](y-y bar)^{2}[/tex]=2872.25
Correlation coefficient=350/[tex]\sqrt{44.67} \sqrt{2872.25}[/tex]
=350/6.68*53.59
=350/357.98
=0.977
After rounding off to nearest hundred it will be 0.98.
Hence the correlation coefficient of the data about time and heart rate is 0.98.
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