the answer is 11 :))
This box is 3/4 inches long, 1/2 inches wide, and 1/4 inches deep. What is the volume of the box ?
Answer:
The volume of the box is 0.09375 inches cube.
Step-by-step explanation:
Given : This box is 3/4 inches long, 1/2 inches wide, and 1/4 inches deep.
To find : What is the volume of the box ?
Solution :
The dimension of the box is,
Length = [tex]l=\frac{3}{4}[/tex] inches
Breadth = [tex]b=\frac{1}{2}[/tex] inches
Height = [tex]h=\frac{1}{4}[/tex] inches
The formula of volume of the box is
[tex]V=l\times b\times h[/tex]
[tex]V=\frac{3}{4}\times \frac{1}{2}\times\frac{1}{4}[/tex]
[tex]V=\frac{3}{4\times 2\times 4}[/tex]
[tex]V=\frac{3}{32}[/tex]
[tex]V=0.09375in^3[/tex]
Therefore, The volume of the box is 0.09375 inches cube.
The volume of the box is 3/32 cubic inches.
Given
This box is 3/4 inches long, 1/2 inches wide, and 1/4 inches deep.
The volume of the box;The volume of the box is given by-product of length, width, and height.
The volume of the box is determined by the following formula;
[tex]\rm Volume \ of \ box =Height\times Width \times length[/tex]
Substitute all the values in the formula;
[tex]\rm Volume \ of \ box =Height\times Width \times length\\\\\rm Volume \ of \ box =\dfrac{3}{4}\times \dfrac{1}{2} \times \dfrac{1}{4}\\\\\rm Volume \ of \ box =\dfrac{3}{32} \ cubic \ inches[/tex]
Hence, the volume of the box is 3/32 cubic inches.
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1) Simplify x + 2x by adding the like terms.
x
2x
3x
2) Simplify y - y + y + y by adding the like terms.2y
3y
4y
5y 4x
what are the solutionso of 8x^2 = 6 + 22x
You can show your work if u want to
Find 2 numbers if Their sum is −7 and their difference is 14
The larger number is (-7+14)/2 = 3.5.
The smaller number is (-7-14)/2 = -10.5.
_____
The two equations a+b=-7, a-b=14 can be solved to get these results. It is genrally convenient to solve them by adding one to the other, or subtracting one from the other.
which expression is equivalent to (5y+4) - 2 (7 - 2)
A. y-10
B. 9y+18
C.3y - 10
D. 9y-10
a 25000 gallon swimming pool is being filled. Two hundred and fifty gallons are in it after 30 minutes. How many hours will it take to fill the pool?
In 30 minutes, 250 gallons are filled in the swimming pool. In the same rate in 1 hours (which means 60 minutes), 500 gallons will be filled.
Let x be the number of hours it will take to fill the entire swimming pool which has the capacity of 25,000 gallons.
We need to set up a proportion like given below:
[tex] \frac{Number \; of \; Hours }{Amount \; of\; water \; in\; gallons} =\frac{x}{25,000} =\frac{1}{500} [/tex]
Solving the equation for x:
[tex] \frac{x}{25000} =\frac{1}{500} \\ Multiply \; 25000\; on\; both\; sides\; of\; the \; equation\\ \\ 25000 \times \frac{x}{25000} =\frac{1}{500} \times 25000\\ Simplify \; on \; both \; sides\\ \\ x \; = \; \frac{25000}{500} \; = 50 \; hours [/tex]
Conclusion:
The number of hours that will take to fill the pool is 50 hours !
Algebra problem #1 help (pic included)
1. A cake in the shape of a circus tent is used as a centerpiece at a celebration. The cake consists of a cylinder and a cone. The cylinder has a diameter of 12 inches and a height of 14 inches. The cone has a height of 6 inches. What is the volume of the cake? Round your answer to the nearest tenth of a cubic inch. Use 3.14 to approximate pi. Show your work.
(Please show me how you get your answers)
I nEED HELP!
A scooter can travel 72 mi per gallon of gasoline and holds 2.3 gal. the function d(x)-72x represents the distance d(x), in miles, that the scooter can travel with x gallons of gasoline. How many miles can the scooter go with a full tank of gas ?
what value of c makes the statement true? -2x^3(cx^3+x^2)=-10x^6- 2x^5
the soccer club has planned a trip to a tournament . the cost of the van is $192. when 2 students who are not members of the club join the trip , thw transportation cost per person drops by $3.20. how mant soccer club members are gpoing to the tournament
Answer:
10 soccer club members are going to the tournament.
Step-by-step explanation:
Let x be the number of soccer club members who are going to the tournament,
Given,
The cost of transportation of x students = $ 192
⇒ The cost of transportation of 1 student = [tex]\frac{192}{x}[/tex]
⇒ The cost of transportation of (x+2) student = [tex]\frac{192}{x-2}[/tex]
According to the question,
[tex]\frac{192}{x}-\frac{192}{x+2}=3.20[/tex]
[tex]192(\frac{1}{x}-\frac{1}{x+2})=3.20[/tex]
[tex]192(\frac{x+2-x}{x(x+2)})=3.20[/tex]
[tex]\frac{384}{x^2+2x}=3.20[/tex]
[tex]3.2x^2+6.4x=384[/tex]
[tex]3.2x^2+6.4x-384=0[/tex]
By the quadratic formula,
[tex]x=\frac{-6.4\pm \sqrt{40.96+4915.2}}{6.4}[/tex]
[tex]\implies x = \frac{-6.4\pm 70.4}{6.4}[/tex]
[tex]\implies x = 10\text{ or } x = -12[/tex]
Since, the number can not be negative,
Hence, 10 soccer club members are going to the tournament.
To find the number of soccer club members going to the tournament, we set up an equation based on the total cost of the van and the drop in cost per person when two additional students join. Solving the quadratic equation reveals that the number of soccer club members is 10.
Explanation:The question asks us to determine the number of soccer club members going to the tournament given that the cost of the van is $192 and that the cost per person drops by $3.20 when 2 additional students join the trip. Let's denote the number of club members as 'x'. Before the 2 students join, the cost per person is $192 / x. After they join, the cost per person becomes $192 / (x + 2), which is $3.20 less than the original cost per person, so:
192 / x - 192 / (x + 2) = $3.20
Multiplying through by x(x + 2) to clear the denominators gives us:
192(x + 2) - 192x = 3.20x(x + 2)
This simplifies to:
192x + 384 - 192x = 3.20x^2 + 6.4x
The term 192x cancels out on both sides, so we have:
384 = 3.20x^2 + 6.4x
To solve for 'x', we divide both sides by 3.20:
120 = x^2 + 2x
Now we solve the quadratic equation x^2 + 2x - 120 = 0. Factoring this equation, we get (x + 12)(x - 10) = 0. Thus, x can be -12 or 10. However, since we can't have a negative number of club members, the number of soccer club members is 10.
19 tens + 11 tens equal
WILL GIVE BRAINLIEST ANSWER
What is the area of Triangle PQR on the grid?
2 square units
3 square units
4 square units
8 square units
PQ = 2 units
height = 4 units
area = 2*4 = 8/2 = 4 square units
Caluculate the distance kris walks in 8 days if she walks 7/8 mile each day
What is the value of x? Enter your answer in the box
x =
Anna plants peas in 3/8 of her garden and herbs in 1/8 of it . She divides The rest of the garden into 6 sections. What fraction of the original garden is each section
The six sections would be 1/12
Does anyone know these answers
What is the factor pairs of 78
Lisa needs to score at least 12 points on her next turn to win the game. Write an inequality to represent the number of points Lisa needs to win the game
Final answer:
Lisa needs to score at least 12 points to win, so the inequality to represent this scenario is 'p >= 12', where 'p' is the number of points she scores on her next turn.
Explanation:
To represent the number of points Lisa needs to win the game with an inequality, we can let p stand for the points she will score on her next turn.
Since she needs to score at least 12 points, the inequality would be p \">= 12".
This reads as 'p is greater than or equal to 12,' meaning Lisa needs to score 12 or more points to win.
Can someone please answer this question here are the answers to the question:
A. 1,209 square feet
B. 1,298 square feet
C. 869 square feet
D. 699 square feet
Write an algebraic expression for the word phrase. five fewer than d days d – 5 5 + d 5 – d d + 5
Answer:
(d-5)
Step-by-step explanation:
we know that
The phrase"five fewer than d days" is equal to subtract 5 from the number d
so
d minus 5-----> (d-5)
Answer:
d-5
Step-by-step explanation:Just trust
Can someone help my sister Kathy with this
Answer this question: a family of 4 people consumes 5000 grams of fish every week. how much fish will the family consume in an year? find the answer in kilograms.
X over five equals three over four
Final answer:
The equation 'x over five equals three over four' is solved by cross-multiplying to get 4x = 15, and then dividing both sides by four to find x = 3.75.
Explanation:
The equation presented by the student 'x over five equals three over four' translates to the algebraic equation x/5 = 3/4. Solving this involves finding the value of x that makes the equation true. To solve for x, we can cross-multiply to get 4x = 15, and then divide both sides of the equation by four to isolate x, giving us x = 15/4 or x = 3.75. Thus, the solution to the equation x/5 = 3/4 is x = 3.75.
A particular fruit's weights are normally distributed, with a mean of 611 grams and a standard deviation of 28 grams. The heaviest 2% of fruits weigh more than how many grams? Give your answer to the nearest gram.
what's 2x-y=-3 in slope intercept form
The equation of line is slope intercept form is y = 2x + 3
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
2x - y = -3 be equation (1)
Adding 3 on both sides of the equation , we get
2x - y + 3 = 0
Adding y on both sides of the equation , we get
y = 2x - 3
Now , equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
Therefore , the value of A is 2x - 3 , where the slope is m = 2
Hence , the equation of line is y = 2x - 3
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Final answer:
To convert the equation 2x-y=-3 into slope-intercept form, y must be isolated. The steps involve rearranging the equation to solve for y, resulting in the slope-intercept form y = 2x + 3, where the slope (m) is 2 and the y-intercept (b) is 3.
Explanation:
To convert the equation 2x-y=-3 into slope-intercept form, we need to solve for y. The slope-intercept form of a linear equation is y = mx + b, where m represents the slope, and b represents the y-intercept.
Let's solve for y:
Start with the original equation: 2x - y = -3.Add y to both sides: 2x = y - 3.Next, add 3 to both sides to isolate y: 2x + 3 = y.The equation is now in slope-intercept form, with m = 2 and b = 3, which is y = 2x + 3.Therefore, the equation 2x - y = -3 in slope-intercept form is y = 2x + 3.
I NEED HELP ON QUESTION #4
A law firm has nine senior and six junior partners. A committee of three partners is selected at random to represent the firm at a conference. What is the probability that at least one of the junior partners is on the committee?
If guy walks from his house to school and back,how far does he walk?
Final answer:
The total distance walked by someone from home to school and back depends on the distance covered in each direction, for example, if a person walks 2 kilometers to school and 2 kilometers back, the total distance walked is 4 kilometers.
Explanation:
The total distance walked by the guy from his house to school and back depends on the exact distance he covers in each direction. If he walks 2 kilometers to school and 2 kilometers back, then the total distance walked would be 4 kilometers.
az-qb=yz solve for z and justify each step