Please help with this simultaneous equation you can use any method(Only number 6)
Answers
Answer:
Pencil: $0.60 Rubber: $0.48
Step-by-step explanation:
Let the cost of a pencil be p and the cost of a rubber be r.
[tex]p+r=1.08[/tex] (Equation 1)
[tex]4p=5r[/tex] (Equation 2)
Divide both sides by 4:
[tex]p=\frac{5}{4} r[/tex]
Substitute this into Equation 1:
[tex]\frac{5}{4} r+r=1.08[/tex]
Multiply both sides by 4:
[tex]\frac{5}{4}r* \:4+r* \:4=1.08*4[/tex]
[tex]5r+4r=4.32[/tex]
[tex]9r=4.32[/tex]
Divide both sides by 9:
[tex]\frac{9r}{9}=\frac{4.32}{9}[/tex]
[tex]r=0.48[/tex]
Since r + p = 1.08,
[tex]p=1.08=0.48=0.60[/tex]
Related Questions
–7 – (x + 3) = 12
solve for x
Answers
Answer:
Step-by-step explanation:
-7 -x - 3 = 12
-x - 10 = 12
-x = 22
x = -22
(4.5+3 5/6 )·0.6 HELP ME PLEASE
Answers
Answer:
5
Step-by-step explanation:
Answer:
8.33333333333
Step-by-step explanation:
What is 23569 rounded to the nearest ten thousand and thousand?
Answers
Rounded to the nearest thousand: 24,000
How do you write the converse of a conditional? How do you Write the contrapositive of a conditional?
Answers
Answer:
Converse- If q, then p. Contrapositive- If not p, then not q
Step-by-step explanation:
Let's say your conditional is if an angle is 90 degrees then it is a right angle.
Then the converse is, if an angle is a right angle then it is 90 degrees.
Finally, the contrapositive is if an angle is not 90 degrees then it is not a right angle.
helppp math sucksss
Answers
Answer:
H can't be a function.
Step-by-step explanation:
If x has more than one y then it doesn't pass the vertical line test and is not a function.
Question 3 of 10 Katerina is making picture frames of various widths for 5x7 photos. The diagram below shows what his picture frames look like. The colored rectangle is the frame with a width of 2 inches on all sides, the inner rectangle is the space for the picture. The polynomial expression 4x2 + 242 + 35 will calculate the total area of the frame and picture together for any value of L. What is the leading coefficient of this polynomial expression?
Answers
Answer:
leading co-efficent is 4
Are 12/16 and 6/9 equivalent? Explain your answer.
Answers
Answer:
No
Step-by-step explanation:
Times the numerator and denominator by 2. 6 does turn into 12, but 9 doesn't turn into 16. Therefore, these fractions are not equivalent.
Write the mixed number as a decimal. 83/5
Answers
Answer:
Write the mixed number as a decimal. 83/5
16.6
f(x) = 3x + 12x - 5
Answers
Answer:
Step-by-step explanation:
Hey There!! ~ （。＾▽＾）
The answer to this is: [tex](- 2, - 7)[/tex]
Explanation: [tex]3x^{2} + 12x 5[/tex]
[tex]y = 3( x + 2)^{2} - 7[/tex]
[tex]3( x + 2) ^{2} - 7[/tex]
[tex]a = 3[/tex]
[tex]h = 2 \ - 7[/tex]
[tex]k = - 7[/tex]
Hope It Helped!~
Good Luck With Your Assignment~
[tex]UsedLess[/tex]~ ✧
Let f(x) = 16 - x^2, g(x) = 4 - x. Find (fg)(x) and its domain.
Answers
Answer:
(fg)(x) = x^3-4x^2-16x+64, D: All Real Numbers
Step-by-step explanation:
(fg)(x) = f(x) x g(x)
= 16-x^2(4-x)
=64-16x-4x+x^3
(fg)(x) = x^3-4x^2-16x+64
Domain is all real numbers because you can substitute any real number for x and the function would still work.
Thus the value of [tex](fg)(x) = x^3 -4x^2 -16x -64[/tex] , and the domain is a set of real numbers.
The domain is a set of all real numbers because by substituting any value in the equation we only get real numbers.
The function is defined as a relationship between two variables a dependent and an independent variable. A function consists of a domain and a co-domain. The set of codomains is called a range.
Example : [tex]f(x) = 4x+ 3[/tex]
All those values of a set for which a function is defined are called a domain.
According to the question :
[tex]f(x) = 16 - x^2\\ g(x) = 4 - x.[/tex]
[tex](fg)(x) = (16- x^2) (4-x)\\(fg)(x) = [16(4-x) -x^2(4- x)]\\\(fg)(x) = [64- 16x -4x^2+x^3]\\(fg)(x) = x^3 -4x^2 -16 x -64[/tex]
Thus the value of [tex](fg)(x) = x^3 -4x^2-16x-64.[/tex]
Learn more about function here :
https://brainly.com/question/30721594
# SPJ2
Which of the following numbers is divisible by 3 and 7?
O 396
O 399
O 402
O 405
Answers
Answer:
399
Step-by-step explanation:
396 is divisible by 3, but not 7.
399 is divisible by 3, and 7.
402 is divisible by 3, but not 7.
405 is divisible by 3, but not 7.
Point R is on line segment QS. Given QS = 16 and QR = 9, determine the length RS.
Answers
Answer:
The length RS = 7
Step-by-step explanation:
Here, we are interested in determining the length of RS
Let’s have the line segment arranged as follows;
Q R S
where QR = 9 and QS = 16
From the arrangement, we can deduce that;
QS = QR + RS
Thus;
RS = QS - QR
RS = 16 -9
RS = 7
When x is added to its square, the total is 30. Fond the value of x.
(With solution please)
Answers
Answer:
[tex]x=\frac{30}{(1+x)}[/tex]
Step-by-step explanation:
step one:
This is a word problem, we need to translate is it to mathematical terms before we solve
"When x is added to its square, the total is 30"
step two:
[tex]x+x^2=30[/tex]
[tex]x+x^2=30\\\\x(1+x)=30\\\\[/tex]
step three:
divide both sides by 1+x we have the value of x as
[tex]x=\frac{30}{(1+x)}[/tex]
Brainliest user, virtuoso, and 700+ points in three days? I think i'm pretty smart. Do you think so? Also, please solve for x, 2x-30+2 and explain.
Answers
Hey there!
[tex]Answer:\boxed{2x-28}[/tex]
[tex]Explanation:[/tex]
[tex]2x-30+2[/tex]
Let's start off by simplifying.
[tex]2x+-30+2[/tex]
Now let's combine like terms.
[tex]2x+-30+2\\(2x)+(-30+2)\\2x+-28\\2x-28[/tex]
[tex]\boxed{2x-28}\text{ is your answer.}[/tex]
Hope this helps!
[tex]\text{-TestedHyperr}[/tex]
Which is the product of 4^4(4^-7)(4)?
Answers
Answer:
1/16 or 0.0625
Step-by-step explanation:
we can take 4 outside the parentheses and we would get 4^(4-7+1)=4^(-2)= 1/(4^2)=1/16=0.0625.
Answer:
0.0625
Step-by-step explanation:
[tex]4^{4}[/tex] ( [tex]4^{-7}[/tex] ) (4)
First lets deal with 4^4 which is 256 (4 * 4 * 4 * 4)
256 ( [tex]4^{-7}[/tex] ) (4 )
Then 4^-7 which is [tex]\frac{1}{16384}[/tex] ( this is because when 4^-7 is simplified it becomes 1/4^7 which is 1/16384.
256 ( [tex]\frac{1}{16384}[/tex]) (4)
256 * [tex]\frac{1}{16384}[/tex] * 4= 0.0625
HOPE THIS HELPED
Find the circumference of the circle. Round your answer to two decimal places, if necessary.
Answers
Use the Circumference of a Circle Formula:
C = 2πr
or
C = (Diameter)*π (since diameter = 2*radius)
In this case, the diameter is 44 miles
So the circumference is:
C = 44*π = 138.23 miles
what is the value of x in 36/45 = x/5
Answers
Answer:
x = 4
Step-by-step explanation:
Cancel common factor of 9,
(x/5)=(4/5)
Multiply both sides by 5,
(5x/5)=(20/5)
Simplify to get x = 4
Determine if the square root is a rational or irrational number. Answer as R for rational and I for
irrational
Answers
Answer:
1- it is irrational
2- it is rational
Question 5 Rocko paid $12.50 for 25 game tickets. Louisa paid $17.50 for 35 game tickets. What is the constant of proportionality? Express your answer in decimal form.
Answers
Answer: k = $0.50
Step-by-step explanation:
The data that we have is:
Rocko paid: $12.50 for 25 tickets.
Louisa paid: $17.50 for 35 tickets.
Now, the question asks to find the constant of proportionality.
A proportional relation can be written as:
y = k*x
where k is the constant, and in this case, y is the price and x the number of tickets bought.
Then replacing with the values above, we have:
$12.50 = k*25
then:
k = $12.50/25 = $0.50
And the other data:
$17.50 = k*35
K = $17.50/35 = $0.50
So we have the same k in both cases, this means that the constant of proportionality is k = $0.50
g(x) = 2x^2 + x-1, find f(3)
Answers
Answer:
the answer is 20
Hope it helps
solve 3 ^x/2 * 3^x/4= 3^6
Answers
Answer:
i think this is it
Step-by-step explanation:
Simplify the following expression 3(4x+5)+2
Answers
Answer:
12x+17
Step-by-step explanation:
3(4x+5)+2
12x+15+2
12x+17
ANSWER:
12x+17=y
Step-by-step explanation:
12x+15+2
12x+17
In a rectangle, the sides have measurements of 2x + 1 and 3x - 5 units Find an expression for the area of the rectangle, in square units.
Answers
Answer:
[tex] (6 {x}^{2} - 7x - 5) \: {units}^{2} [/tex]
Step-by-step explanation:
Area of rectangle = Product of sides
[tex] = (2x + 1) \times (3x - 5) \\ = 2x(3x - 5) + 1(3x - 5) \\ = 6 {x}^{2} - 10x + 3x - 5 \\ area \: of \: rectangle \: \\ = (6 {x}^{2} - 7x - 5) \: {units}^{2} [/tex]
Which number line shows the inequality n < -3?
Answers
Answer: like he dark line represents all the numbers that satisfy x≤2 . If we pick any number on the dark line and plug it in for x, the inequality will be true. The following graph represents the inequality x < 2 . Note that the open circle on 2 shows that 2 is not a solution to x < 2 .
Step-by-step explanation:
Jalen bought 24 juice packs for $7.20. Tia bought 6 juice packs for $2.70. Which
statement describes the difference in the unit prices of Jalen's and Tia's juice pack
Answers
Answer:
0.15
Step-by-step explanation:
Solve the equation below for h v=πr^2h
Answers
Answer:
The answer is
[tex]h = \frac{v}{πr²} [/tex]Step-by-step explanation:
v = πr²h
To solve for h divide both sides by πr²
That's
[tex] \frac{v}{πr²} = \frac{πr²h}{πr²} [/tex]We have the final answer as
[tex]h = \frac{v}{πr²} [/tex]Hope this helps you
Answer: h=0hr/2−3.141593r2+v
Step-by-step explanation:Hope this help
Tammy wants to burn a total of 300 calories. So far, she has burned 289.3 calories. How many more calories must Tammy burn?
Answers
Answer:
10.7
Step-by-step explanation:
300 - 289.3 = 10.7 calories.
Answer:10.70
Step by step explanation
300-289.3=10.70
180 miles /2hours find the unit rate in feet per second
Answers
Answer:
132 ft per second
Step-by-step explanation:
180 miles in 2 hours
180 miles = 950400 ft.
2 hours = 7,200 secs.
950400 ft in 7,200 secs
Evaluate
5-(x - 2) for x = - 1
Answers
5 - ( x - 2 )
substitute -
5 - ( -1 -2 )
step 2 - now solvefirst solve the bracket
5 - ( - 1 - 2 )
therefore,
5 - ( - 3 )
solve
= 8
so the answer is 8hope that helps !
Which rule would indicate a transformation that is a rotation? *
1 point
A.(x, y) becomes (-x, -y)
B. (x, y) becomes (-x, y)
C. (x, y) becomes (x, -y)
D.(x, y) becomes (y, x)
