A -gallon [gal] quantity of molten (liquefied) plastic is going to be used to make a 1-foot [ft] by 8-inch [in] plastic block. If liters [L] of the plastic is lost in the manufacturing process, how thick is the final plastic block, in units of inches [in]?
Answer:
x = 1,77 in
Step-by-step explanation:
Total volume of molten plastic to make a block is
1 [gal] - 1 L (lost in the process) = 3,7854 - 1 = 2,7854
Now the volume of the block is:
1 foot * 8 inches * x ( thick of the block )
1 foot is 0,3048 meter and 1 inch is 0,0254 meter
Then in m³ the volume of the block is
0,3048 * 8 * 0,0254 * x = 0,06193536 * x [ m³ ]
That volume should be equal to 2,7854 / 1000
Therefore
0,06193536 * x = 2,7854 / 1000 x in m³
x = 2,7854 /61,93536 m
x = 0,044972 m and 1 m = 39,37 in
x = 1,77 in
if g(x) =x over 2 + 3 find g (4)
Answer: 2
Step-by-step explanation: 4/2=2
I WILL MARK BRAINLIEST!!!!!!!!!!!!!
Holly is taking a multiple choice reading test. She has decided to guess on questions 3 and 7. On each question, there are four
worded choices plus an all of these choice and a "none of these choice. What is the probability that she answers question 3
correctly and question 7 correctly?
А. 1/36
В. 1/16
C. 1/25
D. 1/2
Answer:
B
Step-by-step explanation:
there are 4 answers for each question, thats 8 all together. Two of the 4 are one vaild answers. Take 2/8 * 2/8 = 4/64 then you reduce that and get 1/16
d+16 for d=-18
Your answer
Find the PERCENT of change.
20 dogs to 5 dogs
Answer:
75%
Step-by-step explanation:
20-5=15 - change in numbers
15/20×100%= 75%
Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B.
Answer:
a : b = 4 : 3
Step-by-step explanation:
(mark as brainlist answer)
According to the given condition is the question :
Two numbers a and b are such that the sum of 5% of a and 4% of b is two-third of the sum of 6% of a and 8% of b
⇒ (5% of a) + (4% of b) = (2/3) × [(6% of a) + (8% of b)
⇒ 0.05a + 0.04b = 2/3 × (0.06a + 0.08b)
⇒ 0.15a + 0.12b = 0.12a + 0.16b
⇒ 0.03a = 0.04b
⇒ a/b = 4/3
⇒ a : b = 4 : 3
Here is a rectangle ABCD. The length of the rectangle is increased by 10%. The width of the rectangle is increased by 5%. Find the percentage increased in the perimeter of tge rectangle.
Answer: Width would become 21 and length would become 33. Original perimeter is 100, increased perimeter is 108 which is a 7.69% increase
For every 10 students there needs to be 1 chaperone during the trip to the 5 museum. Which of the following ratios does not represent the student to chaperone ratio.
1:10
10 to 1
10:1
10/1
Other:
PLZ HELP 60 POINTS... The students at Harrison Middle School are being split into groups for a community service project. The school faculty has decided that each grade (6th, 7th, and 8th) will be split up into their own set of groups. The faculty has also decided that it is important for each grade to be split evenly into groups, with no leftover students, so that each group in a grade has exactly the same number of boys and girls. For each of the following grades, determine the largest number of groups that can be made and the number of boys and girls that will be in each group.
The 6th grade has 64 girls and 72 boys.
The 7th grade has 81 girls and 63 boys.
The 8th grade has 68 girls and 60 boys.
The
grade groups have the largest number of students in each group.
Answer:
6th: 2 girl groups of 32 and 2 boy groups of 36
7th: 3 girl groups of 27 and 3 groups of 21
8th: 2 girl groups of 34 and 2 boy groups of 30
Sorry if it's wrong, had a little trouble understanding.
Carly can paint 6/7 of a picture in 3/14 of an hour how many pictures can she paint in a full hour
Which of the following is a RATE?
12 to 3
12 stickers to 3 students
Answer:
gfgfcvfvghcghccghcgcvchdcfgcfcfrtyc
Step-by-step explanation:
Which shows the following expression after the negative exponents have been eliminated?
StartFraction a cubed b Superscript negative 2 Baseline Over a b Superscript negative 4 Baseline EndFraction, a not-equals 0, b not-equals 0
StartFraction a cubed b Superscript negative 4 Baseline Over a b Superscript negative 2 Baseline EndFraction
StartFraction a b Superscript 4 Baseline Over a cubed b squared EndFraction
Negative StartFraction a cubed b Superscript 4 Baseline Over a b squared EndFraction
StartFraction a cubed b Superscript 4 Baseline a b squared EndFraction
The expression [tex]\rm \frac{a^3b^{-2}}{ab^{-4}}[/tex] is equivalent to the expression [tex]\rm \frac{a^3b^4}{ab^{2}}[/tex]. Then the correct option is D.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.
The expression is given below.
[tex]\rm \rightarrow \dfrac{a^3b^{-2}}{ab^{-4}}[/tex]
And a ≠ 0 and b ≠ 0.
The negative exponents have been eliminated.
We know that 1/a⁻ⁿ = aⁿ.
Simplify the expression, then the expression will be
[tex]\rm \rightarrow \dfrac{a^3b^{-2}}{ab^{-4}}\\\\\rm \rightarrow \dfrac{a^3b^4}{ab^{2}}[/tex]
The expression [tex]\rm \dfrac{a^3b^{-2}}{ab^{-4}}[/tex] is equivalent to the expression [tex]\rm \dfrac{a^3b^4}{ab^{2}}[/tex].
Then the correct option is D.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ5
Alexa and her children went into a movie theater where they sell bags of popcorn for $8 each and pretzels for $5 each. Alexa has $45 to spend and must buy a minimum of 6 bags of popcorn and pretzels altogether. If x represents the number of bags of popcorn purchased and y represents the number of pretzels purchased, write and solve a system of inequalities graphically and determine one possible solution.
One possible solution from the graph is selling 3 bags of popcorn and 4 bags of pretzel
What is inequality?
Inequality is the non equal comparison of two or more variables and numbers.
Let x represents the number of bags of popcorn purchased and y represents the number of pretzels purchased.
Hence:
8x + 5y ≤ 45 (1)
Also:
x + y > 6 (2)
One possible solution from the graph is (3, 4)
Find out more on inequality at: https://brainly.com/question/24372553
What is the perimeter of an equilateral triangle which has an area of 96\sqrt{3}96
3 ?
Answer:
Perimeter = 44.67
Step-by-step explanation:
what is the minimum----------------------------------
Answer: A (-2,5)
Step-by-step explanation:
A company called Blurb prints books. According to its advertisement, you get a 15% discount on all orders of 51 or more copies of the same book (up to 100 copies). Is the cost per order a linear function of the number of copies you order (up to 100)?
Answer:
Yes, the cost per order is a linear function of the number of copies you order (up to 100).
Step-by-step explanation:
Let;
y = Total cost of order from one copy up to 100 copies or dependent variable
a = Cost of 50 copies or fixed intercept
x = Cost of 51 copies or more up to 100 copies or dependent variable, i.e. 51 = x [tex]\leq[/tex] 100
b = Coefficient of x = 1 - Discount rate = 1 - 15% = 1 - 0.15 = 0.85
We can therefore represent have a function as follows:
y = a + bx ........................ (1)
Substituting b = 0.85 into equation (1), we have:
y = a + 0.85x ...................... (2)
Equation (2) implies that as b equal to 51 or more up to 100, y also increases. Equation (2) is therefore an example of linear function which will give an upward sloping straight line and can be rewritten as:
y = f(x) = a + 0.85x ................. (3)
Therefore, the cost per order is a linear function of the number of copies you order (up to 100).
A plane can fly 360 mph in still air. If it can fly 210 miles downwind in the same amount of time it can fly 150 miles upwind, find the velocity of the wind. mph
Answer:
55 mph
Step-by-step explanation:
Assuming that
v = velocity of the plane in still air,
w = velocity of the wind.
We are given that v = 360 mi/hr.
Using the equation
x = vt
where
x is the distance an object travels
v is the speed of the object
t is the time taken
While the plane is flying downwind, the velocity becomes v + w. On the other hand, if it is flying upwind, the velocity becomes v - w.
For a particular time t = T, distance traveled x = 210 mi at downwind, and x = 150 mi at upwind.
Creating an equation from the two, we have
210 mi = (360 + w)T
150 mi = (360 - w)T
Solving for T, we have
T = 210/(360 + w)
T = 150/(360 - w)
And since T is the same in both cases, we say that
So, 210/(360 + w) = 150/(360 - w)
Or on rearranging,
(360 + w)/210 = (360 - w)/150
(360)(150) + 150w = (210)(360) - 210w
55800 + 150w = 75600 - 210w
360w = 19800
Therefore, the speed of the wind is 55 mile per hour
PLEASE HELP, MATH, PLEASE
Solve for n: n+5/16 = -1
[tex]\tt Step-by-step~explanation:[/tex]
To solve for n, we have to isolate n. To do so, we move all the terms that are not n to one side of the equation, and leave n on the other side.
[tex]\tt Steps:[/tex]
Equation: n + 5/16 = -1
Subtract 5/16 on both sides to bring it to the right side of the equation.
[tex]\tt n+5/16-5/16=-1-5/16\\\\n=-\frac{21}{16}~or~-1\frac{5}{16}[/tex]
[tex]\Large\boxed{\tt Our~final~answer:~n=-\frac{21}{16}~or~-1\frac{5}{16} }[/tex]
Solve for n. You must write your answer in fully simplified form.
- 4n = -5
1.25 or 5/4
Step-by-step explanation:
11/8 * 1/9 pls help
Answer:
11/72
Step-by-step explanation:
[tex] \frac{11 \times 1}{8 \times 9} = \frac{11}{72} [/tex]
giving brainliest !!!!
Answer:
please mark me as brainlist
A square lawn has a area 98ft a spin keeper placed at the center of the lawn sprays water in a circular pattern that just covers the lawn what is the radius of the circle
Answer:
Step-by-step explanation:
Given the area of the square as A = 98ft²
The side length of the square will be equivalent to the diameter of the circle.
First we need to get the length of the square.
Area of a square = L^2
98 = L²
L = √98
L = 9.89 ft
Hence the diameter of the circle is 9.89 ft
radius = diameter/2
radius = 9.89/2
radius ≈ 4.95 feet
Hence the radius of the circle is approximately 4.95 feet
Am I correct because I’m confused
Answer:
you could be correct but I think it's B
The weight of an adult beluga whales is known to have a normal distribution with a mean of 1800 pounds in a standard deviation of 300 pound. What is the probability of randomly catching adult beluga whale that weighs between 2000 pounds and 2500 pounds?
Answer:
.2427
Step-by-step explanation:
If you don't need to show your work:
TI84 calculator:[2nd][vars][normalcdf][lower:2000][upper:2500][μ:1800][σ:300}[enter][enter]
Emile is a long-distance runner. He runs at a constant speed of six miles/hour. His goal is to run nine miles on each practice run, but he normally runs a distance that varies three miles more or less than that. Select the correct answer from each drop-down menu. The equation that can be used to find the minimum and maximum time (in hours) Emile runs is_____. For each practice run, the minimum number of hours Emile runs is______ and the maximum number of hours he runs is ______.
Answer:
[tex]t=\dfrac{9\pm 3}{6}[/tex]
[tex]1\ \text{hour}[/tex]
[tex]2\ \text{hour}[/tex]
Step-by-step explanation:
s = Speed of Emile = 6 miles/hour
d = Distance traveled by Emile = [tex](9\pm 3)\ \text{miles}[/tex]
Time taken to find the minimum and maximum time Emile ran for is
[tex]t=\dfrac{d}{s}\\\Rightarrow t=\dfrac{9\pm 3}{6}[/tex]
The required equation is [tex]t=\dfrac{9\pm 3}{6}[/tex]
The time taken is
[tex]t=\dfrac{9-3}{6}\\\Rightarrow t=\dfrac{6}{6}\\\Rightarrow t=1\ \text{hour}[/tex]
The minimum number of hours Emile runs is 1 hour.
[tex]t=\dfrac{9+3}{6}\\\Rightarrow t=\dfrac{12}{6}\\\Rightarrow t=2\ \text{hour}[/tex]
The maximum number of hours Emile runs is [tex]2\ \text{hour}[/tex].
Answer:
|6x – 9| = 3
1 Hour
2 Hours
Step-by-step explanation:
The equation that can be used to find the minimum and maximum time (in hours) Emile runs is_|6x – 9|= 3_. For each practice run, the minimum number of hours Emile runs is__1 hour_ and the maximum number of hours he runs is _2 hour.
3x+4y=2, find 27x•81v
6. Given WY with W(3, 7) and Y(13, -8), if X
partitions WY such that the ratio of WX to XY
is 3:2, find the coordinates of X.
Answer:
(5, 1)
Step-by-step explanation:
Given the coordinates W(3, 7) and Y(13, -8) divided into the ratio 3:2
The midpoint formula is expressed as;
M(X, Y) = (ax1+bx2/a+b, ay1+by2/a+b)
a = 3,
b = 2
x1 = 3
y1 = 7
x2 = 13
y2 = -2
To get the coordinate of X
x = ax1+bx2/a+b
x = 3(3)+2(123/3+2
x = 9+26/5
x = 35/5
x= 7
y= ay1+by2/a+b
y = 3(7)+2(-8)/2+3
y = 21-16/5
y = 5/5
y = 1
Hence the coordinate of X is (x, y) = (5, 1)
Helpppppppppppppp
asappppppppppp
Answer:
180-112=68
Step-by-step explanation:
Four friends attend a school play and pay $6.75 per ticket. Each also buys a Healthy Snack Bag sold by the Theater Club. If the friends spent a total of $37.00, how much did each Healthy Snack Bag cost, b? Write and solve an equation. (sorry about the wrong grade btw)
Answer:
$2.5
Step-by-step explanation:
Multiply 4 friends by $6.75 and find the product.
Subtract $27 from $37
Divide 10 by 4
Answer: $2.5
Step-by-step explanation:
Multiply 4 friends by $6.75 and find the product.
Subtract $27 from $37
Divide 10 by 4
can someone tell me the answer please ?
Answer:
130 degrees
Step-by-step explanation:
Answer:
130 degrees
Step-by-step explanation:
This is a supplementary angle (or whatever the term was for two or more angles that add together to get 180 degrees). There is a total of 7x and 5 degrees. So you would set up the equation 180= 7x+5. Use the properties of equality and subtract 5 from both sides getting 175= 7x. Use the division property of equality to isolate the variable. Divide by 7 to get 25=x. Now just substitute for x in 5x+5 getting 125+5= 130. Sorry if I did a bad job at explaining