Answer:
x = -2
Step-by-step explanation:
Simplifying
2x + -5x = 3x + 12
Combine like terms: 2x + -5x = -3x
-3x = 3x + 12
Reorder the terms:
-3x = 12 + 3x
Solving
-3x = 12 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
-3x + -3x = 12 + 3x + -3x
Combine like terms: -3x + -3x = -6x
-6x = 12 + 3x + -3x
Combine like terms: 3x + -3x = 0
-6x = 12 + 0
-6x = 12
Divide each side by '-6'.
x = -2
Simplifying
x = -2
Tavon has a gift card of $90 that loses $2 for each 30-day period not used. He has another gift card for $70 that loses $1.50 for each 30-day period not used. What will the value of each card be when they have equal value?
Answer:
$10
Step-by-step explanation:
Let the number of 30 day periods be x.
[tex]90-2x=70-1.5x \\ \\ 20=0.5x \\ \\ x=40[/tex]
When x=40, the value is 90-2(40)=$10.
The value of each card will be $ 10 after 40 periods, where the value of the first and second cards are equal.
Given data:
Let x represent the number of 30-day periods that have passed since the gift cards were obtained.
For the first gift card with $90 initial value and losing $2 for each 30-day period:
Value of the first card = Initial value - Loss per period * Number of periods
Value of the first card = $90 - $2 * x
For the second gift card with $70 initial value and losing $1.50 for each 30-day period:
Value of the second card = Initial value - Loss per period * Number of periods
Value of the second card = $70 - $1.50 * x
Now, to find when the two cards have equal value x:
Value of the first card = Value of the second card
$90 - $2 * x = $70 - $1.50 * x
On simplifying the equation:
$90 - $70 = $2 * x - $1.50 * x
$20 = $0.50 * x
x = $20 / $0.50
x = 40
After 40 periods of 30 days each, the two cards will have equal value.
Now, determine the value of each card at this point:
Value of the first card = $90 - $2 * 40 = $90 - $80 = $10
Value of the second card = $70 - $1.50 * 40 = $70 - $60 = $10
Hence, both cards will have a value of $10 when they have equal value after 40 periods.
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In 5-7 complete sentences, write a real world situation that can be modeled by the equation. 3x = 5x + 10
Select the correct answer from the drop-down menu. In the figure, if CD = 15 cm, then BC ≈ ___ cm.
A. 6.6
B. 11
C. 21.6
D. 34.7
At 5:00 a.m., the temperature outside was 6°F below zero. By noon, it rose by 15°F. At 7:00p.m., the temperature dropped by 5°F. What
was the evening temperature?
URGENT PLS!!!!
Answer:
21F
Step-by-step explanation:
15+6=21
What is the measure of angle E?
10 points
B
130°
С
E
F
G
H
Answer:
E
Step-by-step explanation:
Its because of Corresponding angles.
express (x+7)^2 as a trinomial in standard form
Answer:
x^2 +14x+49
Step-by-step explanation:
The standard form of the polynomial (x+7)² is x² +14x+49.
What is a polynomial?A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The polynomial will be represented as,
E = (x+7)²
E = x² +14x+49.
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Simplify:
5x2 – x + 9 = [?]
x=3
Enter
Answer:
The answer is 51
Step-by-step explanation:
What you need to do here is assign a value of 3 to x, and output the value. Let's see what we get:
[tex]5x^2 - x + 9\\5(3)^2 - (3) + 9\\5 * 9 + 6\\45 + 6\\51[/tex]
Molly is throwing a beach party. She still needs to buy beach towels and beach balls. Towels are $3 each and beach balls $4 each. She bought 10 items in total and it cost $34. How many beachballs did she got?
Answer:
6
Step-by-step explanation:
I need help please,
Answer: -7
Step-by-step explanation:
trust me
Answer:
A) -7
Step-by-step explanation:
Simplify the expression.
-4/5 (x-3)= 1/2 (-2x+2)
-4/5 ((-7)-3)= 1/2 (-2(-7)+2)
8=8
A local band is being paid $250 for performing at a local concert. They also receive $2 for each ticket sold. The chart below shows the bands total pay for the first five tickets sold.
Write an expression that will calculate the band's total pay for x number of tickets sold.
How much money will the band make for selling 100 tickets?
How much money will the band make for selling 150 tickets?
Be sure to show all work PLEASE i need this
Answer:
Question 1-- $250+$2(100)= 350 dollars
Question 2-- $250+$2(150)= 400 dollars
Step-by-step explanation:
To calculate the band's total pay for x number of tickets sold, we can use the following expression Total pay [tex]= $250 + ($2 * x)[/tex] For example, if the band sells 100 tickets, the calculation would be: Total pay [tex]= $250 + ($2 * 100) = $250 + $200 = $450[/tex]
Therefore, the band would make $450 for selling 100 tickets. Similarly, if the band sells 150 tickets, the calculation would be: Total pay [tex]= $250 + ($2 * 150) = $250 + $300 = $550[/tex]
Hence, the band would make $[tex]550[/tex]for selling 150 tickets. This expression takes into account the fixed payment of $[tex]250[/tex] for the band's performance and an additional $2 for each ticket sold. By multiplying the number of tickets sold (x) by $2 and adding it to the fixed payment, we can calculate the band's total earnings.
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Mandy created a treasure hunt in the sand at the beach. To keep track of where she buried four items, she graphed their locations in the coordinate plane.
Write the correct ordered pair to show the location of each item.
1. What is the location of item 1? Explain how you found its coordinates. Be sure to tell how you identified the sign of each coordinate.
Write your answer in the space below.
2. What is the location of item 2?
Write your answer in the space below.
3. What is the location of item 3?
Write your answer in the space below.
4. What is the location of item 4?
Write your answer in the space below.
PLEASE I NEED HELP ASAP!!
Answer:
1. (-3,3 ½)
2. (2.9,1) or (2 9/10,1)
3. (-1,-2.5) or (-1,2 1/2)
4. (1.9,-1) or 1 9/10,-1)
Step-by-step explanation:
Since some points were not directly on a line, they must have not been a whole number, so I estimated and used logical reasoning to get the coordinates of the items. Hope this helps.
A triangle has side lengths 4y, 5y and 9y. The longest side of the triangle is 5y. What value of y proves that this triangle is a right triangle?
Answer:
9y i can be rong
Step-by-step explanation:
if the interest of a sum at 7.5% p.a in 4 years is rs 1050, find the sum
formula p= 100 I/RT
100×1050÷7.5×4
105000÷30
p= sh 3500
what is 5x98 (x343)=
Answer:
168,070
Step-by-step explanation:
Multiplication, 5 x 98 = 490. 490 x 343 = 168,070
Which digit is in the tenths place? 48.92
4
2
9
8
HELP FAST <33
Answer:
9
Step-by-step explanation:
after the decimal point it go's tenths hundredths thousandths and so on
Hey guys!
Does anyone know how to solve this?
c(1)=3, c(n)= −c(n−1)+1 for n≥2
I'll give you 25 pts!
The value of c from the given expression is -
Function and valuesGiven the following function
c(n)= −c(n−1)+1
Given the following parameters
c(1)=3
Substitute
3 = −c(3−1)+1
3 = -2c + 1
-2c = 3-1
-2c = 2
c = -1
Hence the value of c from the given expression is -1
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The sum of two integers is 31. The larger of the two integers is 4 more than 2 times the smaller integer. What are the integers? 9 and 22 -22 and 53 allo -9 and 40 14 and 17
Answer:
x = 22 y = 9
Step-by-step explanation:
Let me know if you need an explanation! Hope this helped :)
What is the equation in slope-intercept form of a line that passes through the point (4, 5) and has a slope of 1/2?
can chose more than one
y=1/2x+
y=4x+1/2
y=3x+1/2
y=1/2x+5
Answer:
90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you
The cost of a television with remote control is $649. This amount is $125 more than the cost without remote control. Find the cost of the television without remote control. Write an equation. Then solve the equation.
The equation for the cost of the television without remote control is x = 649 + 125 and its solution is $774.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .
Now it is given that,
Cost of television with remote control = $649
It is also given that this amount is $125 more than the cost without remote control.
Suppose x be the cost of television without remote control.
Thus, x = 649 + 125
⇒ x = 774
Thus, the equation for the cost of the television without remote control is x = 649 + 125 and its solution is $774.
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f(x) = 3x + 3; Find f(1)
Answer:
f(1) = 6
Step-by-step explanation:
You just substitute 1 for x, 3+3 = 6
Answer:
f(1)=3(1)+3 = 6
answer is 6
Step-by-step explanation:
A set of speakers costs $22 and songs cost $1.25 each. The sales tax rate is 7.5%. The expression 0.075(22 + 1.25s) can be used to determine the amount of sales tax due on the entire purchase. Expand the expression and round to the nearest hundredth. Drag numbers complete the expression. Numbers may be used once, more than once, or not at all. 0.090.50.971.251.451.6567.5 + s
Answer:
1.65 + 0.09s
Step-by-step explanation:
Given that :
Cost of speaker = $22
Cost per song = $1.25
Sales tax rate = 7.5%
Expression to obtain the amount of sales tax on entire purchase : 0.075(22 + 1.25s)
Expanding the expression :
0.075(22 + 1.25s)
(0.075 * 22) + (0.075 * 1.25s)
1.65 + 0.09375s
Rounding to the nearest hundredth :
Sales tax on entire purchase :
1.65 + 0.09s
Find m. DCR if m. RCB= 115°
and m_ DCB = 169º.
Guys I need help : How do we find square of any number Ex.121.... for grade 5 and 6 ez method plis
Answer:
[tex]hey \: its \: easy[/tex]
(1) Square of 5 = 5 × 5 = 25
(2) Square of 10 = 10 × 10 = 100
(3) Square of 16 = 16 × 16 = 256
(4) Square of 25 = 25 × 25 = 625
(5) Square of 110 = 110 × 110 = 12100
like this you can also find it
hope it helps
pls mark as brainliest
Answer:
Step-by-step explanation:
You have to figure out what has to multiply by itself to get to that number.
So for example, 121. The square root is more than 10 because 10 times 10 equals 100. It's less than 15 because 15 times 15 is a little over 200. If you have your multiplication tables memorized, you'd know that 11 multiplied by itself is 121. Therefore, the square root to 121 is 11. Hope this helps! (:
HELPPPPP MEEEEEEE PLSSSS
Math assignment
Answer:
$16 for lunch
$4 for coffee
$12 left
Step-by-step explanation:
32/2 = 16
16 * 1/4 = 4
32 - (16 +4) = 12
finding rise and run
Answer:
Up 6 over 8, 6/8, or .75/100
Step-by-step explanation:
I'm not sure how to explain it but yeah I'm pretty sure this is it
Given f(x) = 4x + 1 and g(x) = x2 − 2, which of the following is an expression for f(g(x))?
The value of the expression of the composite function f(g(x)) = 4x^2 - 3
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to determine the value of the expression?The given parameters are:
f(x) = 4x + 1
g(x) = x^2 - 1
The composite function is given as
f(g(x)
The above composite function is calculated as
f(x) = 4x + 1
Substitute x for g(x) in the above function
So, the above function becomes
f(g(x)) = 4g(x) + 1
Substitute x^2 - 1 for g(x) in the above function
So, the above function becomes
f(g(x)) = 4(x^2 - 1) + 1
Evaluate the products in the above equation
So, we have
f(g(x)) = 4x^2 - 4 + 1
Evaluate the sum in the above equation
So, we have
f(g(x)) = 4x^2 - 3
Hence, the value of the composite function f(g(x)) = 4x^2 - 3
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Which measurement describes the following situation:
What is the minimum amount of paper needed to cover a
cylinder?
A.surface area
B.volume
C.circumference
D. perimeter
Answer:
VOLUME
Step-by-step explanation:
It is not surface area. I put that and it was WRONG!!!
The minimum amount of paper needed to cover a cylinder is its surface area.
What is Surface area of Cylinder?The surface area of a cylinder can be defined as the amount of space covered by the flat surface of the bases of the cylinder and the curved surface of the cylinder.
Here, we need to cover cylinder by paper
So, paper cover its whole surface area.
Thus, the minimum amount of paper needed to cover a cylinder is its surface area.
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what is the expression for f(x) when we rewrite 64^x/4^5x-1 as 4^f(x)
Answer: f(x)= -2x+1
Step-by-step explanation:
The expression for f(x), when we rewrite [tex]\frac{64^x}{4^{5x-1}}[/tex] as [tex]4^{f(x)}[/tex] will be [tex]4^{-2x+1}[/tex].
What is expression ?Expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
We have,
[tex]\frac{64^x}{4^{5x-1}}[/tex]
So,
Now, to rewrite in form of [tex]4^{f(x)}[/tex],
So,
Rewrite the given expression in the form of 4,
i.e.
[tex]\frac{64^x}{4^{5x-1}}[/tex]
[tex]=\frac{(4^3)^x}{4^{5x-1}}[/tex]
[tex]=\frac{(4^3x)}{4^{5x-1}}[/tex]
NOw,
Using Exponent rule,
We get,
[tex]=4^{3x-(5x-1)}=4^{3x-5x+1}[/tex]
On solving we get,
[tex]=4^{-2x+1}[/tex]
So,
[tex]4^{f(x)}=4^{-2x+1}[/tex]
Hence, we can say that the expression for f(x), when we rewrite [tex]\frac{64^x}{4^{5x-1}}[/tex] as [tex]4^{f(x)}[/tex] will be [tex]4^{-2x+1}[/tex].
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Based on your research, what is your top career choice? Using the eight components from your graphic organizer,
Answer:
My career choice is anesthesiologist because they have the highest paying job, they have the knowledge to treat the entire human body, and they are qualified to give emergency medicine
Step-by-step explanation:
I hope you are satisfied
Two numbers have these properties.
Both numbers are greater than 8.
Their highest common factor (HCF) is 8.
Their lowest common multiple (LCM) is 80.
Find the two numbers, writing your answers on one line in the form,
The two numbers are ... and ...
Answer:
16 and 40Step-by-step explanation:
Let the numbers be x and y
HCF is 8, so both numbers are multiples of 8 ⇒ x = 8n, y = 8m
As per property of numbers, the product of numbers is equal to product of their LCM and HCF:
xy = HCF(x,y) × LCM(x,y)Since LCM(x,y) = 80 we have:
8×80 = xy8×80 = 8n×8m10 = nmPossible option:
n = 2, m = 5Then the numbers are:
x = 2*8= 16y = 5*8 = 40