Answer:
47/12, or 3 11/12
Step-by-step explanation:
9 1/2 - 5 7/12 > convert to improper fractions
19/2 - 67/12
make same denominator (12)
19/2 * 6 = 114/12
114/12 - 67/12 = 47/12
Answer:
47/12
Step-by-step explanation:
19/2-5 7/12= 19/2- 67/12=47/12
An open, rectangular box with length of 6 feet, width of 4 feet, and height of 2.5 feet is to be painted on all exterior sides, including the bottom, with a special waterproof coating. Each gallon of this special coating covers 12 square feet of surface area and costs $36.00. The box is then to be filled with water that weighs approximately 62 pounds per cubic foot.
Complete Question
An open rectangular box with length of 6 feet, width of 4 feet and height of 2.5 feet is to be painted on all exterior sides, including the bottom, with a special waterproof coating. Each gallon of this special coating covers 12 square feet of surface area and costs $36.00. The box is then to be filled with water that weighs approximately 62 pounds per cubic foot.
A. Find the cost of painting this open box.
B. Find the weight of the water in the filled box
Answer:
A
[tex]x = \$ 294[/tex]
B
[tex]z = 3720 \ pounds[/tex]
Step-by-step explanation:
From the question we are told that
The length is [tex]l = 6 \ ft[/tex]
The width is [tex]b = 4 \ ft[/tex]
The height is [tex]h = 2.5 \ ft[/tex]
Generally the total surface area of the open, rectangular box is mathematically represented as
[tex] T_ A = 2lb + 2lh + 2bh[/tex]
=> [tex] T_ A = 2(6 * 4) + 2(6 * 2.5) + 2(4 * 2.5)[/tex]
=> [tex] T_ A = 98 \ ft^2 [/tex]
From the question we are told that
$36.00 worth of paint covers [tex]12 ft^2[/tex]
So $x worth of paint covers [tex]98 \ ft^2[/tex]
=> [tex]x = \frac{98 * 36}{12}[/tex]
=> [tex]x = \$ 294[/tex]
Generally the volume of the open, rectangular box is mathematically represented as
[tex]V = l * b * h[/tex]
=> [tex]V = 6 * 4 * 2.5[/tex]
=> [tex]V = 60 \ ft^3 [/tex]
From the question we are told that
[tex]1 ft^3[/tex] weigh 62 pounds
[tex] 60 \ ft^3[/tex] weigh z pounds
=> [tex]z = \frac{60 * 62}{1}[/tex]
=> [tex]z = 3720 \ pounds[/tex]
the function f(x) is shown in this graph
the function g(x) = -6x -5
Answer:
C.
Step-by-step explanation:
Select the correct answer.
Jason is traveling by car from his home to his office. He has gone 3.5 miles so far. From this point on, he can cover 100 miles every 2 hours. What is the equation of a line that models the total miles traveled, y, in x hours after this point?
A.
y = 100x + 3.5
B.
y = 100x – 3.5
C.
y = 50x + 3.5
D.
y = -50x + 3.5
9514 1404 393
Answer:
C. y = 50x + 3.5
Step-by-step explanation:
100 miles in 2 hours is 100/2 = 50 miles per hour. Multiplying that rate by x hours gives the miles traveled in addition to the 3.5 miles so far. The appropriate equation for miles traveled is ...
y = 50x +3.5 . . . matches choice C
Answer:
Step-by-step explanation:
PLEASE HELP ME !!!!!!!!!! O///O
Write an equation that has a slope of 4 and a y-intercept of (0,1).
Answer:
y=4x+1
Step-by-step explanation:
I’m guessing the equation needed to be in the y=Mx+b form. If so, m is your slope and b is your y-intercept.
Answer:
y - 1 = 4 ( x - 0 )
Step-by-step explanation:
point slope form
A concert organizer learned from a market survey that when the admission price is $30, there is an average attendance of 800 people. For every $1 drop in price, there is a gain of 20 customers. Each customer spends an average of $5 on concessions. The concert hall has 1,000 seats.
Answer:
[tex]\mathbf{ P =D(x)= 70 -\dfrac{ x}{20}}[/tex]
Step-by-step explanation:
From the information given :
The objective is to find the demand function which is expressed in p, the price in dollars charged for each ticket, as a function of x, and the number of average attendance is:
Suppose the admission price P = D(x) = 30 and number of average attendant = x = 800 people
Then:
ΔP = -1
Δx = 20
[tex]\left \{ \dfrac{\Delta x}{\Delta P }= -20 }}\ \right.[/tex]
According to point line form :
[tex]\dfrac{\Delta x}{\Delta P }= -20[/tex] where the point is (30, 800)
∴
x - 800 = -20 (P - 30)
x - 800 = -20P + 600
collect like terms
x + 20P = 800+ 600
x + 20P = 1400
x = 1400 - 20P
[tex]\mathsf{ P = 70 -\dfrac{ 1}{20}x}[/tex]
Thus, price in dollars for each ticket P = D(x) is:
[tex]\mathbf{ P =D(x)= 70 -\dfrac{ x}{20}}[/tex]
PLZ HELP List all the possible numbers of pennies that Gigi could have in order to have her pennies into rectangular array with more than one row or column and she has a remainder (in this case leftover pennies). Remember she must have between 10 and 30 pennies total.
Answer:
If Gigi has between 10 and 30 pennies, all the possible combinations that form a rectangle with more than 1 column and row are:
2 x 5 or 5 x 2 (10 pennies in total)2 x 6 or 6 x 2 (12 pennies in total)2 x 7 or 7 x 2 (14 pennies in total)2 x 8 or 8 x 2 (16 pennies in total)2 x 9 or 9 x 2 (18 pennies in total)2 x 10 or 10 x 2 (20 pennies in total)2 x 11 or 11 x 2 (22 pennies in total)2 x 12 or 12 x 2 (24 pennies in total)2 x 13 or 13 x 2 (26 pennies in total)2 x 14 or 14 x 2 (28 pennies in total)2 x 15 or 15 x 2 (30 pennies in total)3 x 4 or 4 x 3 (12 pennies in total)3 x 5 or 5 x 3 (15 pennies in total)3 x 6 or 6 x 3 (18 pennies in total) 3 x 7 or 7 x 3 (21 pennies in total)3 x 8 or 8 x 3 (24 pennies in total)3 x 9 or 9 x 3 (27 pennies in total)3 x 10 or 10 x 3 (30 pennies in total)4 x 4 (16 pennies in total)4 x 5 or 5 x 4 (20 pennies in total)4 x 6 or 6 x 4 (24 pennies in total)4 x 7 or 7 x 4 (28 pennies in total)5 x 5 (25 pennies in total)5 x 6 or 6 x 5 (30 pennies in total)what is the approximate percent change in a temperature that went down from 120 degrees to 100 degrees?
the percent change is approximately 17%
the percent change is approximately 20%
the percent change is approximately 80%
the percent change is approximately 120%
Answer:17
Step-by-step explanation:my teacher explained how 20 is wrong
Answer:
It is 17 percent.
Step-by-step explanation:
Confirming the other answer is right and just saying it's right for other people who might not trust em. :D
In the diagram below, m
Answer:
∠AEB = 62°
∠CED = 62°
∠CDE = 36°
Step-by-step explanation:
The measure of ∠m = ∠CDE of the triangle and ∠CDE = 36°
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Given data ,
Let the first triangle be represented as ΔABE
Let the second triangle be represented as ΔCDE
The measure of angle ∠EAB = 62°
The measure of angle ∠ABE = 56°
The sum of the interior angles of a triangle = 180°
So , the measure of angle ∠AEB = 180° - ( 62° + 56° )
The measure of angle ∠AEB = 180° - 118°
The measure of angle ∠AEB = 62°
And , by vertically opposite angles
The measure of angle ∠AEB = measure of angle ∠CED
And , the measure of ∠CDE = 180° - ( 82° + 62° )
The measure of ∠D = 180° - 144°
The measure of ∠D = 36°
Therefore , the measure of ∠m = 36°
Hence , the measure of angle ∠D is 36°
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Felipe has a flower bed with area 25/4 square feet. He expands the flower bed to have area 75/4 square feet. How many square feet of space does the larger flower bed have for every square foot of the smaller flower bed? Write your answer as a ratio (a:b) *
Answer: Required ratio= 3:1.
larger bed has 3 square feet of area of every 1 square feet on smaller bed.
Step-by-step explanation:
Given: Felipe has a flower bed with area [tex]\dfrac{25}4[/tex] square feet.
He expands the flower bed to have area [tex]\dfrac{75}4[/tex] square feet.
Now, area on larger flower bed for every square foot of the smaller flower bed = (area of larger bed) ÷ (area of smaller bed)
[tex]= \dfrac{75}{4}\div\dfrac{25}{4}=\dfrac{75}{4}\times\dfrac{4}{25}=\dfrac{3}{1}[/tex]
So, larger bed has 3 square feet of area of every 1 square feet on smaller bed.
Required ratio= 3:1.
What is 6/11 in decimal form, to the nearest hundredth?
Answer:
0.55
Step-by-step explanation:
What is the relation between 1 and 2?
Answer:
Supplementary and Linear Pair
Step-by-step explanation:
The angles 1 and 2 form 180 degrees. That is the definition of a Supplementary Angle and Linear Pair.
Find the area under the standard normal distribution curve between z=o and z=1.47
Answer:
hheikxkhyujherik
Step-by-step explanation:
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The area under the standard normal distribution curve between z=o and z=1.47 is 42.92%.
What is Standard normal distribution?The standard normal distribution is a special type of normal distribution where the mean is 0, and the standard deviation is 1.
The area under the standard normal distribution curve between z=o and z=1.47 can be found as,
Area = (Z=1.47) - (Z=0)
As per the z-table the values of z are,
Z = 1.47 = 0.9292
z = 0 = 0.5
Area = 0.9292 - 0.5
Area = 0.4292 = 42.92%
Thus, The area under the standard normal distribution curve between z=o and z=1.47 is 42.92%.
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All of the following are reserved powers EXCEPT:
A.
establishing and maintaining schools
B.
regulating business within the state
C.
controlling Interstate and foreign trade
D.
establishing county and local governments
Please select the best answer from the choices provided
A
B
C
D
Answer:
The correct answer is C. controlling interstate and foreign trade
Based on the Constitution, all of the above are Reserved powers except, C. controlling Interstate and foreign trade
Reserved powers are those that are reserved for state governments and some of them are:
Establishing schools and maintaining them Regulating intra-state business Establishing local governmentsRegulating interstate and foreign trade is the responsibility of the federal government as it does so on behalf of all states in a joint manner.
In conclusion, regulating foreign and interstate trade is not a reserved power.
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i need help can yall help
Answer:
360"
Step-by-step explanation:
Firstly, you need to be able to convert your feet to inches. Remember, one foot is equal to twelve inches. You multiply six inches by five feet and later multiply by twelve to convert to inches.
1010^100 x 27 i tried to put this into a calculator if someone can figure that out you are the smartest person on earth
Answer:
7.302997e+301
Step-by-step explanation:
Answer:
calculator cannot hold that much digits
Step-by-step explanation:
which the best estimate of 22 x 97 by using roundings on compatibile numbers? F. 1,800 G. 2.000 H. 2.300 I. 2.100
Find X if PQR is an isosceles triangle. Please
Answer:
x=9
Step-by-step explanation:
because its isosceles, and as stated PQ = QR
so...
2x+1=3x-8
solve for x
x=9
Hope you are having a good day!
Answer:
The value of X in isosceles triangle is 9
In the equation ax + 6 = 15 , a is a negative integer. What is true about x?
A baker's bread recipe calls for
2 cups of flour. He plans to make 2 loaves of
bread.
If the baker's measuring scoop holds
cup, how many scoops of
flour will he need in all?
Does this represent a function?
Answer:
No.
Step-by-step explanation:
A graph must pass the Vertical Line Test in order to be a function. Since this graph doesn't pass the test, it is not a function.
However, this graph is a conic, specifically a hyperbola.
Water level in a well was 20m below ground level. During rainy season, rainwater collected in different water tanks was drained into the well and the water level rise 5 m above the previous level. The wall of the well is 1m 20cm high and a pulley affixed at a height of 80 cm. Raghu wants to draw water from the well. Find the minimum length of the rope that he can use.
Answer:
17 m
Step-by-step explanation:
As shown in the figure, [tex]A_0-B_0[/tex] is the ground level, [tex]A_1-B_1[/tex] is the old level of water which was at 20 m below ground level, [tex]A_2-B_2[/tex] is the new level of water which is 5m above of old level. The height of wall of the well, 1.20 m, and the the pelly at 80 cm =0.80 m, has been shown too.
The minimum length of the rope is equal to the distance between the pully and the new water level, indicated by the length [tex]L_0[/tex] in the figure.
So, [tex]L_0= 20-5+1.20+0.80= 17m[/tex]
Hence, Raghu must use a rope having the minimum length 17 m to draw water from the well.
I went to the grocery store to buy avocados. They were $3 for 4. How much will it cost me for 10?
Answer:
7.50$
Step-by-step explanation:
3+3+1.5=7.50$.
Name the slope of a line parallel to y = -3x -2
A parent has washed some nappies in a strong bleach solution and wishes to rinse them so that they contain as weak a bleach solution as possible. By wringing out, the nappies can be made to contain just half a litre of solution. Show that two thorough rinses, such that the solution strength is uniform, the first using 12 litres of water and the second using 8 litres of water, reduces the strength of the
1 425
If 20 litres of clean water is all that is available and the parent is prepared to do only two rinses, how best should the water be divided between the two rinses?
Answer:
a) Two thorough rinses gives;
1/25 × 1/2 × 2/17 strong bleach/L = 1/425 strong bleach/L
b) The water should be divided into two quantities of 10 liters each
Step-by-step explanation:
The given parameters are;
The initial volume of strong bleach solution in the nappies = 1/2 Liters
The volume of water first used to rinse = 12 liters
The volume of water used in the second rinse = 8 liters
Therefore, we have;
The total volume of the water and the concentrated bleach in the first rinse = 1/2 + 12 = 12.5 Liters
The new concentration of the bleach in the first rinse water = (1/2 strong bleach)/12.5 L = (1/2 strong bleach)/25/2 L = 1/2×2/25 = 1/25 strong bleach/L
The volume of the first rinse introduced in the second rinse = 1/2 Liters
The concentration of the bleach introduced in the second rinse = The new concentration of the bleach in the first rinse water = 1/25 strong bleach/L
The volume of water added in the second rinse = 8 liters
The total volume of the water and the bleach in the second rinse = (8 + 1/2) liters = 8.5 liters
The concentration of bleach in the second rinse = (The concentration of the bleach introduced in the second rinse × (Volume of bleach solution introduced in the second rinse))/(The total volume of the water and the bleach in the second rinse)
The concentration of bleach in the second rinse = (1/25 strong bleach/L × 1/2 L)/(8.5 Liters)
The concentration of bleach in the second rinse = (1/25 strong bleach/L × 1/2 L)/(17/2 Liters) = 1/25 × 1/2 × 2/17 strong bleach/L = 1/425 strong bleach/L
b) The the quantity of water in the first rinse = x
The amount of water in the second rinse = 20 - x
The concentration of bleach in the first rinse = 1/2/(x + 1/2) = 1/(2·x + 1)
The concentration introduced in the second rinse = 1/2 × 1/(2·x + 1) = 1/(4·x + 2)
The total volume of water and bleach introduced in the second rinse = (20 - x + 1/2) = 20.5 - x
The concentration of bleach in the second rinse = 1/(4·x + 2)/(20.5 - x)
The minimum value for the concentration can be found from taking the derivative of the function for the concentration and equation to zero as follows;
[tex]\dfrac{\mathrm{d} \dfrac{1}{\left ( 4\cdot x + 2 \right )\cdot \left ( 20.5 - x \right )}}{\mathrm{d} x} = \dfrac{2\cdot \left ( x - 10 \right )}{\left ( 2\cdot x + 1 \right )^{2}\cdot \left ( 20.5 - x \right )^{2}} = 0[/tex]
2·(x - 10) = 0
x = 0/2 + 10 = 10
x = 10
The the quantity of water in the first rinse = x = 10 liters
The the quantity of water in the first rinse = 10 liters
The amount of water in the second rinse = 20 - x = 20 - x = 20 - 10 = 10 liters
The amount of water in the second rinse = 10 liters
The water should be divided into two quantities of 10 liters each
Therefore, the water should be divided into two quantities of 10 liters each to give a final bleach solution concentration of 1/(4·x + 2)/(20.5 - x) = 1/(4×10 + 2)/(20.5 - 10) = 1/42 × 1/10.5 = 1/441 concentration/liter.
Answer: a) Two thorough rinses gives;
1/25 × 1/2 × 2/17 strong bleach/L = 1/425 strong bleach/L
b) The water should be divided into two quantities of 10 liters each
Carta and Daniel bought identical suitcases at different stores. Carla's suitcase originally cost $75 and was discounted 19% Daniel's suitcase original cost sa5 and was on sale for 20% off the original price. Which suitcase was the bra? A Carta because her sutase cot $11 25 2. Daniel because his suitcase cot $17. Can cause decor, ST12 D. Dariel because ts sutcace was docoumed by S17
Answer:
Carla's suitcase was a better purchase.
Step-by-step explanation:
The complete question is:
Carla and Daniel bought identical suitcases at different stores. Carla's suitcase originally cost $75 and was discounted 19% Daniel's suitcase original cost $85 and was on sale for 20% off the original price. Which suitcase was the cheaper?
Solution:
Cost Price of Carla's suitcase = $75Discount% for Carla = 19%
The amount paid by Carla is,
[tex]\text{Amount}=CP\times [1-d\%]=75\times [1-0.19]=60.75[/tex]
So, the amount paid by Carla was, $60.75.
Cost Price of Jeana's suitcase = $85Discount% for Jeana = 20%
The amount paid by Jeana is,
[tex]\text{Amount}=CP\times [1-d\%]=85\times [1-0.20]=68[/tex]
So, the amount paid by Jeana was, $68.
Carla's suitcase was a better purchase.
12. What is a pronoun?
Answer:
Definition. A pronoun (I, me, he, she, herself, you, it, that, they, each, few, many, who, whoever, whose, someone, everybody, etc.) is a word that takes the place of a noun. In the sentence Joe saw Jill, and he waved at her, the pronouns he and her take the place of Joe and Jill, respectively.
Can someone please help me
Answer:
130
Step-by-step explanation:
angle DEC and angle GHE are corresponding so they would be congruent or equal.
Answer:
130
Step-by-step explanation:
angle DEC and angle GHE are corresponding angles and they are same if they sit in parallel lines.
A car and a motorcycle, starting 35 miles apart, travel directly away from each other. The car averages 60 miles per hour and the motorcycle averages m miles per hour. The distance (d) between them after h hours can be determined using the equation below. Which equation could be used to find the distance between the car and the motorcycle after 2.5 hours?
Answer:
d = 60h + 35
Step-by-step explanation:
60 = Slope
35 = Y-intercept
You would just input whatever amount of time you need to the variable h in order to find the value of d.
helpppp. I need to answers and its rotating around the orgin.
READ THE END! PLEASE HELP! OK, will mark best straight answer with brainiest (with explanation) URGENT! Justin's sand castle is 180 cm tall but the wind is blowing away sand at a rate of 8 cm per minute. Taylor's sand castle is 160 cm tall and she is adding sand to it at a rate of 6 cm per minute. After how many minutes will their sand castles be at an equal height? [ Also, if its 17.5 please explain what happened to 180 & 160!!! ]
Answer:
Both castles will have the same height at 3.33 minutes
Step-by-step explanation:
This problem will be solved with linear modeling, that is, expressing both people's sand castle's height as a function of time.
Justin built a sandcastle 180 cm tall, and its height is losing at 8 cm/min by the effect of wind. Thus, the height of Justin's sandcastle is:
[tex]H_J=180-8t[/tex]
Where t is the time expressed in minutes.
Taylor's sandcastle is initially 160 cm tall. The wind blows away sand at 8 cm/min but she adds sand at 6 cm/min, thus the real loss of sand is 8 cm/min - 6 cm/min= 2 cm/min. Thus, the height of Taylor's sandcastle is:
[tex]H_T=160-2t[/tex]
To find when both castles have the same height, we set:
[tex]180-8t=160-2t[/tex]
Simplifying:
6t=20
Solving:
t=20/6=3.33\ minutes
Both castles will have the same height at 3.33 minutes