Answer:
30
Step-by-step explanation:
6(4) - 3(-2) =
24 + 6 =
30
When you stand on snow, the average pressure P (in pounds per square inch) that you exert on the snow varies inversely with the total area A (in square inches) of the soles of your footwear. Suppose the pressure is 0.43 pound per square inch when you wear the snowshoes shown. Write an equation that gives P as a function of A. Then find the pressure if you wear the boots shown. (A=400in^2)
Find the pressure if you wear the boots shown below. (A=60in^2)
Answer:
0.43*0.43
Step-by-step explanation:
The pressure on the snow if the area of the footwear is 400 in² is 0.0645 pounds per square inch.
What is pressure?The force applied perpendicular to an object's surface per unit area across which that force is spread is known as pressure.
[tex]P= \dfrac{W}{A}[/tex]
As it is given that the pressure is inversely proportional to the area of the footwear. Therefore, the relation can be written as,
[tex]P\propto \dfrac{1}{A}\\[/tex]
Now, introducing a constant to remove the proportionality symbol, w that is the weight of the person, therefore,
[tex]P= \dfrac{W}{A}[/tex]
Now, as the area of the shoe is 60in², the pressure on the snow is 0.43 pounds per square inch. Therefore, the value of w can be written as,
[tex]0.43= \dfrac{W}{60}\\\\W = 25.8\rm\ pounds[/tex]
Now, the pressure on the snow if the area of the footwear is 400 in².
[tex]P= \dfrac{W}{A}\\\\P= \dfrac{25.8}{400}\\\\P = 0.0645 \rm\ pounds\ per\ inch^2[/tex]
Hence, the pressure on the snow if the area of the footwear is 400 in² is 0.0645 pounds per square inch.
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3. The students of Sunshine High School are raising money to
support the sports teams. A local organization donated boxes of
popcorn and candy for the students to sell. The freshmen are selling
boxes of popcorn for $1.50 each, and the sophomores are selling
boxes of candy for $3 each. The students' target is to raise at least
$650. The sophomores expect to sell at most 95 boxes of candy. Let
x represent the number of boxes of popcorn sold and y represent
the number of boxes of candy sold. Which system of inequalities
models the given situation?
A. 1.5x +3y > 650
y < 95
B. 1.5x +3y > 650
y < 95
C.
1.5x +3y < 650
y > 95
D.
1.5x +3y > 650
y < 95
Answer:
1.5x + 3y ≥ 650y ≤ 95Step-by-step explanation:
Boxes of popcorn = x, each cost = $1.50
⇒ total = 1.5xBoxes of candy = y, each cost = $3
⇒ total = 3yTotal money raised, sum of the above two:
1.5x + 3yTarget is to raise at least $650:
1.5x + 3y ≥ 650The sophomores expect to sell at most 95 boxes of candy:
y ≤ 95The system of inequalities:
1.5x + 3y ≥ 650y ≤ 95Plz answer I need help and it's due tomorrow
Answer:
8 √ 5
Step-by-step explanation:
22. Write the inequality for the graph shown below.
Help. Please.
Jack and his two friends each ordered a small pizza, Jack ate 7/8 of his pizza, Luis ate 3/4 of his pizza, Tyrone ate 1/2 of his pizza. How much pizza was left. Answer to the simplest form.
Answer:
1/8
Step-by-step explanation:
What we wanna do first is make all denominators the same. Multiply 3/4 by 2/2 and 1/2 by 4/4. This will get you 6/8 and 4/8. Now we have all the fractions:
6/8. 4/8, 7/8
We know Jack ate 7/8 of his pizza, so there's 1/8 pizza left for him.
Luis ate 3/4, which became 6/8, so there's 2/8 of pizza left.
Tyrone ate 1/2 of his pizza, which is 4/8, so there is 4/8 left.
Add: 1/8 + 2/8 + 4/8 = 7/8
This means that there is 1/8 slice left because 7/8 of the whole pizza was eaten.
Name all digits that can be the last digit of prime numbers.
Answer:
1,2,3,5,7,9
Step-by-step explanation:
I started by seeing all the digits (0-9) which are prime numbers.
A carpenter is building a bookcase of height h, length 2h, and width w. The bookcase has two shelves. The plywood to be used for the back costs $1.50 per square foot. The top, bottom , sides, and shelves will be made of pine costing $5 per square foot. Write an equation expressing the total cost of the materials.
Enter your answer in the form: C = ahb + chw, where a, b, c are integers.
Answer:
3h² + 35hw ;
a = 3 ; b = 2 ; c = 35
Step-by-step explanation:
Given that :
Dimension of bookcase :
Height = h ; Length = 2h ; width = w
Area of backside :
Height * length
h * 2h = 2h²
Cos of back material = $1.5 per ft²
Cost = 1.5 * 2h²
Cost = 3h²
Top and bottom :
Length * width
2h * w
Side area = 3 * h * w
Total area : Top + bottom +. Side
Total area : 2hw + 2hw + 3hw = 7hw
Pine = $5 per sq foot
Total cost = $5 * 7hw
= $35hw
Entire cost, C
3h² + 35hw
From the format :
ah^b + chw,
a = 3 ; b = 2 ; c = 35
Help plz...plz don’t steal points..
Answer:
C is the correct answer
Step-by-step explanation:
You just distribute the 5 to the following exponents.
x – 4y = 27
3x + y = -23
Answer:
Step-by-step explanation:
Answer:
x=-5, y=-8
Explanation:
I did it already
One number is 9 more than twice the other number. Their sum is 54. Find the numbers.
Answer: The Numbers are 15 and 39
Step-by-step explanation: 2(15) + 9 = 39
What is the height of a trapezoid whose bases have lengths of 11 units and 18 units and whose area is 87 square units?
its either
Question 1 options:
5 units,
3 units, or
6 units
Answer:
6 units is answer for it may be correct check it
Answer:
6
Step-by-step explanation:
Took the test on k12
T varies directly as the square of P and inversely as Z and T=12 when P=3 and Z=6
5. Using k as the constant of variation, which of the following is the equation of variation?
A. T=
\frac{kp {}^{2} }{z}
z
kp
2
B. T=
kpz {}^{2}kpz
2
C. T=
\frac{kz}{p {}^{2} }
p
2
kz
D. T=
\frac{pz {}^{2} }{k}
k
pz
2
6. Which of the following is the value of the variation constant:
A. 6
B. 8
C. 10
D. 12
7. Which of the following is twice the value of T when P=9 and Z=6?
A. 108
B. 216
C. 54
D. 36
Answer:
A. [tex] T= \frac{KP^2}{Z}[/tex]
D. K = 8
B. 216
Step-by-step explanation:
Q. T varies directly as the square of P and inversely as Z and T=12 when P=3 and Z=6
Solution:
According to the given information:
T varies directly as the square of P.
[tex] T\alpha P^2..... (1)[/tex]
T varies inversely as Z.
[tex] T\alpha \frac{1}{Z} ..... (2)[/tex]
Combining equations (1) & (2)
[tex] T\alpha \frac{P^2}{Z}[/tex]
[tex] T= \frac{KP^2}{Z}[/tex]
(Where K is proportionality constant)
(This is the equation of variation)
Plug T=12, P=3 and Z=6 in the above equation of variation, we find:
[tex] 12= \frac{K(3)^2}{6}[/tex]
[tex] 12= \frac{K\times 9}{6}[/tex]
[tex] K= \frac{12\times 6}{9}[/tex]
[tex] K= \frac{72}{9}[/tex]
[tex] K= 8[/tex]
So, the value of the variation constant = 8
Next, plug P=9, Z=6 and K = 8 in the above equation of variation, we find:
[tex] T= \frac{8(9)^2}{6}[/tex]
[tex] T= \frac{8\times 81}{6}[/tex]
[tex] T= \frac{648}{6}[/tex]
[tex] T= 108[/tex]
[tex] 2T= 2\times 108[/tex]
[tex] 2T= 216[/tex]
So, 216 is twice the value of T.
I choose a card at random from a well-shuffled deck of 52 cards. There is a 1/4 probability that the card chosen is a spade, a 1/4 probability that the card is a heart, a 1/4 probability that the card is a diamond, and a 1/4 probability that the card is a club. Both spades and clubs are black cards, whereas hearts and diamonds are red. The events card is a heart and card is a club are
Answer:
The answer is "disjoint events".
Step-by-step explanation:
Please find the complete question in the attached file.
In this question, the Disjointed events were not connected, throughout this, Some other approach to disorganized events was its lack of common outcomes. When it can come at the same time, two events are exclusive to each other. A whole term, that implies excluding each other is disjoined. If had some are united, the chance of them both happening on one is 0, throughout this question, both heart and club can't be cards at the very same time.
The amount of money that Mary earns varies directly with the number of hours worked. If Mary earns $320 for working 40 hours,
determine the constant of variation
A)
6
B)
7
C)
8
D
9
Answer:
(c) 8
Step-by-step explanation:
Vhat is the value of a in the equation 3 a+b=54, when b = 9?
O 15
O 18
O 21
0 27
Where would the shape be located after a translation of 5 units to the right?
A. Quadrant 3
B. Quadrant 2
C. Quadrant 1
Answer:
It the shape would be in quadrant 1
Answer: Quadrant 1 I think
Step-by-step explanation:
Angelica calculated the distance between the two points shown on the graph below.
On a coordinate plane, line A B has points (2, negative 5) and (negative 4, 5).
Step 1: Use the point C(–4, –5) to make a right triangle with the 90 degree vertex at C.
Step 2: Determine the lengths of the legs: AC = 6 and BC = 10.
Step 3: Substitute the values into the Pythagorean theorem: 10 squared = 6 squared + c squared.
Step 4: Evaluate 10 squared = 6 squared + c squared. 100 = 36 + c squared. 64 = c squared. 8 = c.
She states the length of AB is 8 units. Which best describes the accuracy of Angelica’s solution?
Angelica is correct.
Angelica made an error determining the location of the right angle. The right angle should be at (2, 5).
Angelica made an error counting the lengths of the legs of the right triangle. The lengths should be 7 and 11.
Angelica made an error substituting the values into the Pythagorean theorem. The equation should be c squared = 6 squared + 10 squared.
Answer:
D
Step-by-step explanation:
The length of the side AB is 8 units, which Angelica calculated correctly.
What is the distance formula between two points?The distance formula between two points,
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2[/tex].
What is Pythagoras's theorem?In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.
From the given information AC = 6 units and BC = 10 units.
Therefore, The length of the side AB² = 10² - 6².
AB² = 100 - 36.
AB² = 64.
AB = 8 units.
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Daniel has a total collection of 200 marbles. 10% of them are red. How many are red marbles in his collection? What is missing in the problem?
Answer:
40(i think)
Step-by-step explanation:
what is 20/4 - 8 please help
Answer:
-3
Step-by-step explanation:
Multiply and divide {left to right}:
20/4 = 5
Add and subtract {left to right}:
5 - 8 = -3
{Negative + Positive = Negative}
Fraction:
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(20/4, 8/1) = 4
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
[tex](\frac{20}{4} *\frac{1}{1} )-\frac{8}{1} *\frac{4}{4} )=[?][/tex]
Complete the multiplication and the equation becomes
[tex]\frac{20}{4} -\frac{32}{4} =[?][/tex]
The two fractions now have like denominators so you can subtract the numerators.
Then:
[tex]\frac{20-32}{4} = \frac{-12}{4}[/tex]
Since -12 divided by 4 equals -3 then,
[tex]\frac{-12}{4}=-3[/tex]
Therefore, -3 is the correct Answer or Fraction form = -1/3
[RevyBreeze]
i need help asap:
The lengths of a triangular plot of land
measure 19 yards, 23 yards and 27 yards.
Find the largest angle for this plot of
land.
Answer:
79.4° to the nearest tenth of a degree
Step-by-step explanation:
You are trying to find the angle opposite the side of length 27.
Let the length of that side be c and a and b be the lengths of the other two sides and let C be the measure of the angle you are looking for
Using the law of cosines
[tex]c = \sqrt{a^{2} + b^{2} - 2abcos C}[/tex]
[tex]27 = \sqrt{19^{2} + 23^{2} - 2(19)(23)cosC}[/tex]
[tex]27^{2} = 19^{2} + 23^{2} - 2(19)(23)cosC[/tex]
729 = 361 + 529 - 874cosC
729 = 890 - 874cosC
-161 = -874cosC
-161/-874 = cosC
.1842105.... = cosC
C = arccos .1842105.... = 79.4° to the nearest tenth of a degree
Tess and Alice are both on the swim team. Last practice, they each swam laps for the same amount of time, but Tess finished more laps. This weekend, they're swimming the same number of laps at a swim meet. Who will likely finish first?
Answer:
the answer is tess
Step-by-step explanation:i did it
The person that will likely finish first is: Tess.
What is Comparison factor?Factor comparison is a systematic and scientific way of job appraisal that assesses jobs based on a number of characteristics rather than the job as a whole. The goal of factor comparison is to assign monetary worth to the various components of each employment role.
First, Tess and Alice swam laps for the same amount of time, but Tess finished more laps.
Second, they are swimming the same number of laps at a swim meet.
As, Tess finished more laps then Alice so he is always ahead of Alice.
In second time again Tess will finish more laps comparison to Alice.
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help :( submit in simplest radical form :(
Answer:
y and x equal
[tex] \sqrt{5 } [/tex]
Answer plzzzzzzzzzzzzz
Answer:
x=12.727822
Step-by-step explanation:
Since we know two of the angles, we can find the third. 180-90-45=45. This means the two sides of the triangle are also equal, and we know the hypotenuse is 18. So we can use the Pythagorean theorem.
x²+x²=18²
2x²=324
x²=162
x=√162
x=12.727822
Is the set of the following numbers ordered from greatest to least or least to greatest
Answer: Your answer should be least to greatest I believe
Let S be the set of all integers that are multiples of 6 and let T be the set of all even numbers
Answer:
S = ( 6, 12, 18, 24, 30, 36......)
T = ( 2, 4, 6, 8, 10, 12, 14, 16, 18......)
On a map, Breanne measured the distance (as the crow flies) between Los Angeles, California and San
Francisco, California at 2 inches. The scale on the map is 1/4 inch = 43 miles. What is the actual
straight-line distance between Los Angeles and San Francisco?
Considering a bag of marbles has 5 green marbles, 3 blue marbles, and 2 red marbles. Three marbles are drawn in sequence and are taken without replacement. What is the probability P( 2nd draw is green| 1st draw is red)?
A) 555.5
B) 55.5
C) 5.5
D) .5555
Answer:
A
Step-by-step explanation:
basta a hehehehhjshshshss
Please answer :)
( Will give brainlst)
Answer:
thank you for give me some time
Select all expressions that are equivalent to 64^2/3
Answer:
16
Step-by-step explanation:
Answer:
27
Step-by-step explanation:
47. Health care costs per capita Rising health care costs
are a growing concern for everyone in the United
States. Using U.S. Centers for Medicare and
Medicaid Services data from 2006 and projected to
2021, U.S. per capita health care costs can be modeled
by
y = 20.61x? - 116.4x + 7406
where x is the number of years past 2000. Use this
equation to find, to the nearest dollar, the average rate
of change of U.S. per capita health care costs from 2010
to 2015 and from 2015 to 2020.
