Answer:
$5
Step-by-step explanation:
a. The required equation is r = 0.2w + 2.5 + w. b. The retail price of a chair is $12.58 if the wholesale price is $8.40. c. The wholesale price is $44 if the retail price is $13.30.
What is the Linear equation?A linear equation is defined as an equation in which the highest power of the variable is always one.
a. The retail price of a chair is the wholesale price plus the markup and stocking fee. The markup is 20% of the wholesale price, so we can represent it as 0.2w. The stocking fee is a fixed amount of $2.50, so we can add it to the markup and wholesale price to get the retail price.
The equation that represents the retail price of a chair, r, in terms of the wholesale price, w is:
r = 0.2w + 2.5 + w
b. To calculate the retail price of a chair if the wholesale price is $8.40, we substitute 8.4 for w in the equation:
r = 0.2(8.4) + 2.5 + 8.4
r = 1.68 + 2.5 + 8.4
r = 12.58
So the retail price of a chair, if the wholesale price is $8.40, is $12.58.
c. To calculate the wholesale price if the retail price is $13.30, we can solve the equation for w.
r = 0.2w + 2.5 + w
13.3 = 0.2w + 2.5 + w
10.8 = 0.2w + w
8.8 = 0.2w
w = 8.8 / 0.2
w = 44
So the wholesale price, if the retail price is $13.30, is $44.
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Which equation is equivalent to 4(p + 8) = 2(r – 6) when solved for r?
Answer:
[tex]r=2p+22[/tex]
Step-by-step explanation:
[tex]4(p+8)=2(r-6)\\4p+32=2r-12\\4p+32+12=2r\\4p+44=2r\\\frac{4p+44}{2} =\frac{2r}{2} \\2p+22=r[/tex]
Hope this helps you
Let me know if you have any other questions :-)
The equation equivalent to 4(p + 8) = 2(r – 6) when solved for r is
r = 2p + 22.
To solve for r in the equation 4(p + 8) = 2(r – 6), follow these steps:
1. Distribute the numbers: Distribute the numbers on both sides of the equation.
[tex]\[4 \cdot p + 4 \cdot 8 = 2 \cdot r - 2 \cdot 6\][/tex]
2. Simplify: Perform the calculations on each side of the equation.
[tex]\[4p + 32 = 2r - 12\][/tex]
3. Isolate r terms: Move the terms containing r to one side of the equation by adding 12 to both sides.
[tex]\[4p + 32 + 12 = 2r\][/tex]
[tex]\[4p + 44 = 2r\][/tex]
4. Divide by 2: Divide both sides by 2 to solve for r.
[tex]\[\frac{4p + 44}{2} = r\][/tex]
[tex]\[2p + 22 = r\][/tex]
Thus, the equation 4(p + 8) = 2(r – 6) when solved for r becomes r = 2p + 22.
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Pls pls pls pls help!
Answer:
1)
1/2 - C
1/4 - B
1/8 -D
? - A
1/2*1/4*1/8 = 1/16 of the class got an A
2) 40 lb = 840 oz
840 x* 2 1/4 = 1890 oz
Archie's dog eats 1890 oz of dog food in 2 1/4 years.
Answer:
1440 ounces
Step-by-step explanation:
80 pounds+ 10=90
90 pounds to ounces is 1440 ounces
Make an equation that has the numbers : -3.78 , -1.2y, and -4.2y
Answer: In solution
Step-by-step explanation:
Well, first you need to arrange the numbers in anyway, separated by operations. I just did:
-3.78 + (-1.2y + -4.2y)
We then need to come up with the other side of the equation.
For this, I added the like terms:
-3.78 + (-1.2y + -4.2y) = -3.78 -5.4y
Then, I came up with a value for y. Y = 5
Then, I multiplied -5.4 by 5, getting -27 so,
-3.78 + (-1.2y + -4.2y) = -3.78 - 27
Again, I collected like terms:
-3.78 + (-1.2y + -4.2y) = -30.78
Now, I have my equation.
———————————————————————————————
HOW TO SOLVE THE EQUATION
-3.78 + (-1.2y + -4.2y) = -30.78
1. Add 3.78 to both sides
-1.2y + -4.2y = -27
2. Collect like terms
-5.4y = -27
3. Divide both side by -5.4
y = 5
Answer:-
-3.75 + -1.2y = -4.2y
Step-by-step explanation:
the answer would then be that y= 1.26 when solved
A local farmer started the year with 56 farm animals. At the end of the year, the farmer had 63 farm animals. What was the percent of change? (Show work)
Answer:the percentage change is 7.
Step-by-step explanation:
The percentage is 7 because 63-56=7
Answer:
The answer is a increase of 12.5%
Step-by-step explanation:
The equation to find this is new minus old divided by old times 100, so it would be 63 minus 56 divided by 56 which gives you 7 over 56 times 100. 7 over 56 times 100 equals 12.5 so 12.5% is the answer
Jolon used the slope-intercept form to write the equation of a line with slope 3 that passes through the point (5, –2). His work is shown below.
Step 1: Negative 2 = 3 (5) + b
Step 2: negative 2 = 15 + b
Step 3: Negative 2 + 15 = 15 + 15 + b
Step 4: Negative 13 = b
Step 5: y = 3x – 13
Analyze the steps. In which step did the Jolon make an error?
Answer:
step 3
Step-by-step explanation:
He should have subtracted 15 instead off adding 15. this would have gotten rid of the fifteen on the right side and left him with -17=b. Instead, he would have added 15 and gotten 13=30+b. That threw off the rest of the equation. The rest of the equation is wrong. b should equal -17
the slope-intercept equations should be y=3x-17
Task 1:Different ways to represent Relations. Complete the table with the different ways.
Answer:
I dont know
Step-by-step explanation:
This i dont know
Marlye posted a story on her blog. On the first day there were 80 responses and on the second day there were 180 responses. What percent is the increase, 100, of the original number of responses, 80?
a. 55%
b. 80%
c. 100%
d. 125%
100/80 = 1.25 or 125%
write in word form: 40-(8+6)
Answer:
Not exactly sure if this is what you mean but...
forty minus, parenthesis, eight plus six, end parenthesis
Step-by-step explanation:
water drains out of the bathtub at a rate of 5 gallons in 2 1/4 minutes. how much water drains out of the tub each minute?
Answer:
[tex]2~2/9[/tex] gallons per minute
Step-by-step explanation:
If it drains at a rate of [tex]x[/tex] gallons in [tex]y[/tex] minutes, the tub drains [tex]x/y[/tex] gallons in [tex]1[/tex] minute.
We can plug in for [tex]x[/tex] and [tex]y[/tex] for this equation!
The amount it drains in one minute is [tex]5/(2~1/4)=5/(9/4)=20/9=2~2/9[/tex].
So, the answer is [tex]\boxed{2~2/9}[/tex] gallons per minute.
The quantity of water that drains out of the tub each minute is 2.23 gallons.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that water drains out of the bathtub at a rate of 5 gallons in 2¹/₄ minutes.
2¹/₄ minuts = 5 gallons
1 minute = 5 / 2¹/₄
1 minute = 5 /2.25
1 minute = 2.23 gallons
Therefore, the quantity of water that drains out of the tub each minute is 2.23 gallons.
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PLz help me and fast i wanna get this done
Help Please!!!!
ty :D
Answer:
3.6
Step-by-step explanation:
33/9
what you do is divide the numerator with the denominator= 33÷9=3.6
Answer:
The choice B; 3.6
I hope I helped you^_^
Jackson is throwing a pizza party. He has 6\tfrac{1}{2}6 2 1 pounds of cheese available and he needs \tfrac{1}{2} 2 1 pound of cheese to make each pizza. How many pizzas can he make?
He can make 8 pizzas because 4 x 1/2 is 8
Answer:
8
Step-by-step explanati
4 x1/2=my awnser.
Someone please answer this
Answer:
Step-by-step explanation:
11- cubic function
12- cubic function
13-
-10, -4
-5, -2
0,0
5, 2
14- straight line across x-axis on -3
can someone help with this pls? i don’t understand math at all
sorry List 5 examples of positive and negative numbers around us
Which of the following is an improper fraction?
[tex]\frac{21}{25}[/tex]
[tex]\frac{8}{7}[/tex]
[tex]\frac{6}{11}[/tex]
[tex]\frac{2}{3}[/tex]
May i please know this quickly! :)
Answer:
8/7
Step-by-step explanation:
8/7 because the numerator is greater than the denominator.
Answer:
8/7
Step-by-step explanation:
a fraction in which the numerator is greater than the denominator, such as 5/4.
A certain whale can eat up to 2,400 pounds of food in a day. Which of the following best represents an estimate of the pounds the whale can eat in a day?
A. 2 x 10³
B. 3 x 10²
C. 2 x 10⁴
D. 3 x 10³
Daily Question For Fun!!!
Answer:C
Step-by-step explanation:
Referring to the figure, find the circumference
of the circle. Round the answer to the nearest whole inch.
Answer:
188 inches
To find the circumference, multiply the diameter by pi which is 3.14
Step-by-step explanation:
Drag the tiles with equivalent ratios into each box, two tiles have no match
What is the product?
(−4)⋅(−6)⋅(−3)⋅(−5)
−360
−240
240
360
Answer:
360
Step-by-step explanation:
since there are an even amount of negative numbers the negatives are cancelled out by each other
i need help i start school any minute!!!! How many cups of cornmeal should be added to 45 gallons of water pls help
Please help explain this to me
Answer:
2/15 12/90=2/15
both 12 and 90 are multiples of 6 so we divide both of this by 6
so 12 divided by 6 is 2 and 90 divided by 6 is 15
so simpiflied 12/90 is 2/15
can some one help me?
Answer:
Im pretty sure it's 3/8
Plz help me with these last 2 questions
Answer:
192
Step-by-step explanation:
7x+9=23
WHAT IS X
please answer thx
Answer:
x = 2
Step-by-step explanation:
23 - 9 = 14
14 / 7 = 2
Help me!! im stuck and please help me with range
Answer:9
Step-by-step explanation:
The range is the simplest measurement of the difference between values in a data set. To find the range, simply subtract the lowest value from the greatest value, ignoring the others.
Your answer, in this case, is 9. If your largest number is 10 and the smallest is 1.
10-1=9
Answer:
9
Step-by-step explanation:
The range is the simplest measurement of the difference between values in a data set. So 10-1 is 9
Hope that helps
The length of an island is changing at the rate of –17 inches per year. How long will it take for the change in the length of the island to be –255 inches?
Answer:
15 years
Step-by-step explanation:
-255/-17=15
Based on the future dates concept, and the available content of the question, it will take 15 years for the change in length of the island to be -255 inches.
What is the Future date?Future date is a term that is used to describe the major activities of a certain place or humans.
In this case, the time it takes for the change in length to be -255 inches we can set up the following equation:
Change in length = rate * time
-255 inches = -17 inches/year * time
To solve for time divide both sides of the equation by -17 inches/year:
time = -255 inches / (-17 inches/year)
Simplifying the expression:
time = 15 years
Therefore, in this case, it is concluded that it will take 15 years for the change in length of the island to be -255 inches.
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HURRY PLS! fill in the boxes
Answer: the answer is y=[tex]\frac{5}{2}x+5[/tex]
Step-by-step explanation: the y intercept is where the line hits the y axsis in this case it happens to be 5 REMEMBER the RISE OVER RUN
pick any 2 points in the graph (always Pick the point that intersect the graph to make your life easier)
the points I picked wreally (-2,0) and (0,5) the RISE is going to be +5 and the RUN is going to be 2
( you really have to count slowly and carefully and always check your work i like to use Desmos for these type of questions to check)
Find the next two numbers in a pattern?
7, - 28,112, - 448 __, __, . . .
Answer:
1,792 -7168
the pattern is to multiply by -4
Step-by-step explanation:
7 · -4 = -28
-28 · -4 = 112
112 · -4 = -448
-448 · -4 = 1,792
1,792 · -4 = -7168
please help 50 POINTS
Answer:
a)
V = lwh = 8*3*7 = 168b)
A = lw = 8*3 = 24V = Ah = 24*7 = 168