Given:
Price of gold in 2001 = (0.5x+300)
Its price tripled in 2008 and then doubled in 2011. In 2016, its price dropped to [tex]\dfrac{2}{3}[/tex] of the price in 2011.
To find:
An expression for the price of gold per ounce in 2016.
Solution:
We have,
Price of gold in 2001 [tex]= (0.5x+300)[/tex]
Its price tripled in 2008.
Price of gold in 2008 [tex]= 3(0.5x+300)[/tex]
Then doubled in 2011.
Price of gold in 2011 [tex]= 2\times 3(0.5x+300)[/tex]
In 2016, its price dropped to [tex]\dfrac{2}{3}[/tex] of the price in 2011.
Price of gold in 2016 [tex]=\dfrac{2}{3}\times 2\times 3(0.5x+300)[/tex]
[tex]=2\times 2(0.5x+300)[/tex]
[tex]=4(0.5x+300)[/tex]
[tex]=4(0.5x)+4(300)[/tex]
[tex]=2x+1200[/tex]
Therefore, the required expression for the price of gold per ounce is (2x+1200).
An electrician cuts a 30 ft piece of wire into 2 pieces. One piece is 2ft longer than the other. How long are the pieces?
Answer:
piece1: 14 feet
piece2: 16 feet
Step-by-step explanation:
piece1: x
piece2: x + 2
x + x + 2 = 30
2x + 2 = 30
2x = 28
x = 14
piece1: x = 14
piece2: x + 2 = 14 + 2 = 16
Abbey wants to use her savings of $1,325 to learn yoga. The total charges to learn yoga include a fixed registration fee of $35 and a monthly fee of $50. Choose the inequality that would be used to solve for the maximum number of months for which Abbey can learn yoga with her savings.
Answer: 35x+50x_<(less than or equal to)1,325
Step-by-step explanation:
it’s easy and I’m taking the test and got it right
f (x) = -43 +7
Using the function above, evaluate f (-2).
Bart earns $6.30 per h. If his regular pay last week was $236.25, how many hours did he work?
Answer:
Bart worked 37.5 hours last week (37 1/2).
Step-by-step explanation: Divide total pay by rate per hour (in this case $6.30 per hour.)
$236.25 (the total) / $6.30 (money per hour) = 37.5 or 37 1/2
I have attached a screenshot
Answer:
Step-by-step explanation:
x2 + 2x - 7 + 11x2 - 5x - 1
Solving like terms
12x2 - 3x - 8
Write in slope-intercept form with the given information. Show all work. Passes through (-8,3) with a slope of -2
Answer:
y=-2x-13
Step-by-step explanation:
y=mx+b
3=-2(-8)+b
3=16+b
3-16=b
-13=b
What is 2/3 as a decimal
Answer:
0.66 or 0.67 rounded
Step-by-step explanation:
2/3=
0.66
Answer:
0.6 or 0.666666666666666666666
In order to solve for the variable in the equation 1 minus (x + 2) + 2 x = 5 (2 x minus 5) minus x, Mikel first applies the distributive property. Which equation is a result of this step? 1 minus x + 2 + 2 x = 10 x minus 5 minus x 1 minus x minus 2 + 2 x = 10 x minus 25 minus x 1 minus x minus 1 + 2 x = 10 x minus 25 minus x 1 minus x minus 1 + 2 x = 10 x minus 5 minus x
Answer:
1-x-2+2x = 10x-25-x
Step-by-step explanation:
The given equation is as follows :
1-(x+2)+2x=5(2x-5)-x
We need to solve the above equation.
Firstly opening bracket off LHS and applying distributive property at RHS.
1-x-2+2x=5(2x)-5(5)-x (Distributive property :a(b+c) = ab+ac)
1-x-2+2x = 10x-25-x
So, the correct option is (B) i.e. 1 minus x minus 2 + 2 x = 10 x minus 25 minus x.
Answer:
It's b
Step-by-step explanation:
I got it right on edge
Write 9.84 as a mixed number in simplest form
Answer:
[tex]9\frac{21}{25}[/tex]
Step-by-step explanation:
Simplify the 0.84. It is 84/100, or divided by 4, it is 21/25.
Hope this helped! :))
Answer:
Step-by-step explanation:
Mixed numbers are a whole number and a fraction together
sooo 9.84= 9 84/100 but we can reduce 84 /100 to 42/50 and that can be reduced to 21/25
so write 9 21/25
if i won 10 games out of 16, how many games would i need to paly to win 50
Answer:
19
Step-by-step explanation:
Write an equations to describe the linear relationship. A moving company charges $50 flat fee and $55 per hour to move
Answer:
55(x)+50
Step-by-step explanation:
Answer:
Y=55x+50
Step-by-step explanation:
how do you add two areas together
Answer:
You would just add them like normal
Step-by-step explanation:
There are 2 computers for every 3 iPads in this technology room
Answer:
The Ans Is 2:3
Step-by-step explanation:
7+ (-5)+(-2)=0
7+ (5)+(2)=0
7+(-4)+(-3)=0
7+(-6)+(-1)=0
Answer:
1. true
2. false
3. true
4. true
pls respond ... 30 points :)
Answer:
B, 2x^2 - 4x + 8
Step-by-step explanation:
Given an area of 4x^2 - 8x + 16, and a length of 2, we can use the area formula of length, and width to find the area:
Length × Width = Area
Given these values, rearrange the formula to find the width:
Width = Area / Length
Then just substitute the values, and
simplify the expression:
Width = (4x^2 - 8x + 16) / 2
Width = 2x^2 - 4x + 8
Answer:
I think its B but dont keep my word as facts thats just what i think hope this helps even a little
Step-by-step explanation:
Mercury is the closest planet to the Sun, with an average distance of 35,000,000 miles. It takes light about 3 minutes to travel from the Sun to Mercury. Neptune is the farthest, with an average distance of 2.8 x 109 miles from the Sun. How many times farther from the Sun is Neptune than Mercury? How long does it take light to reach Neptune? Follow the steps to find out. 1. Write the distance from the Sun to Mercury in scientific notation. Include units with your answer.
Answer:
1.
[tex]2765000000 \: or \: 2.765 \times {10}^{9} [/tex]
2.
[tex]273 \: seconds[/tex]
3.
[tex]3.5 \times {10}^{7} [/tex]
Jane baked the kinds of fruit bars shown in the table below.
Kind of Fruit Bar Number
Apple
51
Peach
36
Plum
84
Part A
Jane wants to make baskets of the fruit bars, and she wants to divide each kind of fruit bar equally among the baskets. What is the maximum number of baskets can she make?
Answer:
I THINK the answer is 57
Step-by-step explanation:
Add 51 + 36 + 84
Divide 171 by 57
57 is the most that can go into 171 evenly.
?
Select the correct answer.
No, they only have 1 corresponding equal angle.
Yes, they have 2 corresponding equal angles
No, they are not the same size.
Yes, they are the same shape.
Help
Answer:
yes they have 2 corresponding equal angles.
Sydney is a salesperson who sells computers at an electronics store. She makes a base pay amount each day and then is paid a commission as a percentage of the total dollar amount the company makes from her sales that day. Let P represent Sydney's total pay on a day on which she sells "x" dollars worth of computers. Write an equation that represents P as a function of X
Answer:
P=0.025x+100
Step-by-step explanation:
The y-intercept of the function is 100 which represents the base pay Sydney makes regardless of computer sales.
that's the correct answer^^^
y = 1/40x + 100 is an equation that represents P as a function of X
What is Linear function?A linear function in mathematics is one that has either one or two variables and no exponents. It is a function with a straight line as its graph.
Given, Sydney is a salesperson who sells computers at an electronics store. She makes a base pay amount each day and then is paid a commission as a percentage of the total dollar amount the company makes from her sales that day.
Let the equation of line y = kx + b
Where b is 100
Since the given line passes through (0, 100) and (4000,200)
since For a line k = (y₂ - y₁)/(x₂ - x₁)
Thus, k = (200 -100)/(4000-0)
k = 1/40
Thus,
y = 1/40x + 100
Therefore, an equation that represents P as a function of X is y = 1/40x + 100.
Learn more about Linear Functions here:
https://brainly.com/question/20286983
#SPJ2
Complete question:
(WILL MARK BRAINLIEST)
The graph of f(x) = 2 + 3 is translated to produce
the graph of g(x) = (x + 2)+ 3. In which direction
was the graph of f translated?
A. up
B. down
C. left
D. right
Answer:
down
Step-by-step explanation:
You start at (-2, 2). You move up 1 unit and left 3 units. Where do you end?
Answer:
(-5, 3)
Step-by-step explanation:
Moving up one will give you (-2, 3) and moving left three brings you to (-5, 3).
Express the ratio below in its
simplest form.
18:3:9
Answer:
6:1:3
Step-by-step explanation:
a cookie recipe calls for 1 2/3 cups of sugar. If you plan on changing the recipe to make 2 1/2 times as much, how many cups of sugar will you need?
Answer:
4 1/6
Step-by-step explanation:
2 1/2 times 1 2/3 change those numbers into an improper fraction which are 5/2 for 2 1/2 and 5/3 for 1 2/3 multiply 5/2 and 5/3 you get 25/6 change the 25/6 into a mixed number and you get 4 1/6
PLSS HELP DUE IN 4 MINS
Answer:
The inverse is 1/2x -1/2
Step-by-step explanation:
f(x) = 2x+1
y = 2x+1
Exchange x and y
x = 2y+1
Solve for y
Subtract 1
x-1 = 2y+1-1
x-1 =2y
Divide by 2
x/2 -1/2 = 2y/2
1/2x -1/2 = y
The inverse is 1/2x -1/2
A state lottery randomly chooses 8 balls numbered from 1 through 37 without replacement. You choose 8 numbers and purchase a lottery ticket. The random variable represents the number of matches on your ticket to the numbers drawn in the lottery. Determine whether this experiment is binomial. If so, identify a success, specify the values n, p, and q and list the possible values of the random variable x.
Answer: No, the experiment is not binomial
Step-by-step explanation:
From the formula for a binomial distribution :
nCx * p^k * q^(n - x)
n = number of trials (fixed)
x = number of success on trial
p = probability of success (which is the same for each trial).
q = (1 - p) = probability of failure (same for each trial)
Binomial experiment have binary outcome ; Either Success or Failure
The experiment described above :
Number of trials is satisfied (8 picks)
Binary outcome (matches on ticket or match does not exist).
WILL MARK BRAINLIEST FOR RIGHT ANSWER!!!!! 1×6 square unit rectangular grid has to be covered with six 1×1 square unit tiles. Three of the tiles are yellow, two are white, and one is blue. In how many ways can this task be done if:
a) there are no restrictions
b) no neighbouring tiles should be the same colour
c) at least one pair of neighboring tiles are the same color
Answer:Well the first one is 60
Step-by-step explanation:6!/3!2!=60 thats all i got
Answer:
60 for the first one
Step-by-step explanation:
Suppose the equation of line t is y=x
Answer:
Hi
Step-by-step explanation:
Rasu made some chocolate milk. She added 3 tsp. Of cocoa mix with 2 cups of milk. Farah also made some chocolate milk. She added 5 tsp. Of cocoa mix to 3 cups of milk. Which mixture is more chocolatey flavored (stronger chocolate flavor)? Explain your reasoning.
The correct answer is Farah's mixture
Explanation:
In this situation, how strong chocolate flavor is in the mix depends on the ratio of ingredients as more cocoa leads to a stronger chocolate flavor.
Rasu:
Her ratio was 3 teaspoons of cocoa mix and 2 cups of milk. This can be expressed as 3:2 or [tex]\frac{3}{2}[/tex]. Also, this can be simplified by dividing the amount of cocoa into the amount of milk 3 ÷ 2 = 1.5. This means for each cup of milk Rasu added 1.5 teaspoons of cocoa.
Farah:
The ratio was 5 teaspoons of cocoa mix and 3 cups of milk. So, the ratio is 5 : 3 or [tex]\frac{5}{3}[/tex], which is equal to 1.6. This implies for each cup of milk Farah added 1.6 teaspoons of cocoa. This ratio of cocoa vs milk is higher in Farah, which means he added more cocoa, and her mix would have a stronger chocolate flavor.
Worth all my points plus brainliest!!! Due in 4 hrs 1-11
Answer:
1. 15
2. -8/9
3. 5
4. 7
5. a = 20
6. n = 100
7. 3.6 x 10^1
8. 3
9. 4
10. 8.37 x 10^5
11. 6.67 x 10^3
simplify the expression 6(x+4)+1=