A rectangular prism with a volume of 6 cubic units is filled with cubes with side lengths of 1/2 units.
How many 1/2 unit cubes does it take to fill the prism?
48. If the side length is 1/2, cube it to find the volume of the cube. Then divide 6 by 1/8. Remember that if you are dividing a fraction, you multiply by the reciprocal, in this case 8. 6 times 8 is 48.
Answer:
48
Step-by-step explanation:
In certain county, the number of charter schools is 4vless than twice the numbervof alternative schools. We know that there are 48 charter schools in the county. How many alternative schools are in the county?
If a number is divisible by 2, then it is even. What is the inverse of this statementWhat is the inverse of this statement?
If a number is divisible by 2, then it is not even.
If a number is not divisible by 2, then it is not even.
If a number is not divisible by 2, then it is even.
If a number is even, then it is divisible by 2.
The inverse of the statement "If a number is divisible by 2, then it is even" is "If a number is not divisible by 2, then it is not even." According to logical operations in mathematics, an inverse involves both swapping and negating the components of the original statement.
Explanation:In the field of mathematics, the inverse of a statement swaps both the hypothesis and the conclusion, and applies a negation to them. The original statement given is, "If a number is divisible by 2, then it is even". The inverse of this statement switches and negates the components, resulting in: "If a number is not divisible by 2, then it is not even". Therefore, the second provided option is the correct one.
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one inch equals to 2.54 cm. Write an equation for the length x, in inches, that equals to 15 cm
Final answer:
To convert 15 cm to inches, use the conversion factor 1 inch = 2.54 cm and set up a proportion. Solve for x to find that 15 cm is approximately equal to 5.91 inches.
Explanation:
To write an equation for the length x, in inches, that equals to 15 cm, we can use the conversion factor 1 inch = 2.54 cm. We can set up a proportion to solve for x:
1 inch/2.54 cm = x inch/15 cm
Cross multiplying, we get:
2.54x = 15
Dividing both sides by 2.54, we find that x = 5.91 inches.
Each morning, the employees in an office drink at least 73 cups of coffee. Write an inequality that represents this situation. Let c represent the number of cups of coffee.
An inequality is???????
Find the product identify the two whole numbers between which the product lies 7x 8/10?
What is 36j + j
please help and explain if you can!!! :)
a puppy weighs 9/10 pound. it's mother weighs 8 times as much. how much does the mother weigh?
what is -10+2 because this is really confusing to me.
which is smaller, half of 36 or one-seventh of 42
What is the first derivative of 3\sqrt[3]{x^4}-12\sqrt[3]{x}?
If a number is located farther right on the number line than another, then it is larger. True False
Answer:
it is TRUE my homei
Step-by-step explanation:
solve for y
11x+7y=-35
20 POINTS!!! Of 35 jewelers in her town, Naomi polled the 5 biggest to learn about the latest jewelery trends. Her sample is (biased; Not biased).The sample is (representative; not representative) PLZ ANSWER IN THAT ORDER!! I NEED THIS ASAP
Answer:
Biased / Not Representative
Step-by-step explanation:
The answer is biased because she is asking only the 5 biggest jewelers in her whole town, not the whole 35. It is also not representative because it is not representing allts of of the though every jeweler. Hope this helps <3
PS. Brainliest is wrong.
Answer:
I hope this helps
Step-by-step explanation:
Which function is the inverse of f(x)=4x-1?
The function f⁻¹(x) = x/4 + 1/4 is the inverse of f(x)=4x-1
What is a function?The function is a type of relation, or rule, that maps one input to specific single output.
In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable). In maths and the physical sciences, functions are indispensable for formulating physical relationships.
The function is given as f(x)=4x-1
To determine the inverse of a function, switch the places of x and y (or f(x)).
f(x) = 4x - 1
y = 4x - 1
Switch the variables;
x = 4y - 1
Now, convert the equation back into y = mx + b form.
x + 1 = 4y
y = x/4 + 1/4
f⁻¹(x) = x/4 + 1/4
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what the circumstances of a circle with a diameter of 12ft
plz help ill give you brainlist plz help
11x−6y=5 −4x−6y=13 How many solutions does this system have
Alex is decorating a large box with pieces of ribbon. He needs 7 sections of ribbon with a length of (3/4) yard. He is going to cut the 7 pieces from a roll of ribbon that is 30.2 yards long
The coordinates of the vertices of trapezoid EFGH are E(-8, 8), F(-4, 12), G(-4, 0), and H(-8, 4). The coordinates of the vertices of trapezoid E’F’G’H’ are E’(-8, 6), F’(-5, 9), G’(5, 0), and H’(-8, 3).
Which statement correctly describes the relationship between trapezoid EFGH and trapezoid E’F’G’H’?
a) Trapezoid EFGH is congruent to trapezoid E’F’G’H’ because you can map trapezoid EFGH to trapezoid E’F’G’H’ by reflecting it across the x-axis and then translating it up 14 units, which is a sequence of rigid motions.
b) Trapezoid EFGH is congruent to trapezoid E’F’G’H’ because you can map trapezoid EFGH to trapezoid E’F’G’H’ by translating it down 2 units and then reflecting it over the y-axis, which is a sequence of rigid motions
c) Trapezoid EFGH is congruent to trapezoid E’F’G’H’ because you can map trapezoid EFGH to trapezoid E’F’G’H’ by dilating it by a factor of 34 and then translating it 2 units left, which is a sequence of rigid motions
d) Trapezoid EFGH is not congruent to trapezoid E’F’G’H’ because there is no sequence of rigid motions that map trapezoid EFGH to trapezoid E’F’G’H’.Answer:
D
Step-by-step explanation:
1) We have and isosceles trapezoid DEFG and and another trapezoid D'E'F'G' dilated.
2) E'F'G'H' is not congruent to EFGH (due to its legs) Besides that, E'F'G'H has undergone not to rigid motions. Rigid motions are better known as translations and rotations and they preserve length and angles. That was not the case.
(Check graph 2)
3) So it's d, the only correct choice:
d) Trapezoid EFGH is not congruent to trapezoid E’F’G’H’ because there is no sequence of rigid motions that map trapezoid EFGH to trapezoid E’F’G’H’.
Li wants buy a jacket is originally Price at $65.00. Today the store is advertising the jacket for 40°/° off the original price.
tickets to a play cost $11 each. There is also a service charge of $4 per order. Write ab equation for the relationship that gives the total cost y in dollars for an order of x tickets.
The equation representing the total cost of an order of tickets is y = 11x + 4, where y is the total cost and x is the number of tickets.
Explanation:The problem involves a constant service charge and a variable cost that depends on the number of tickets bought. In this case, the constant cost is the $4 service fee and the variable cost is the $11 per ticket. We express this relationship with the equation y = 11x + 4, where y is the total cost and x is the number of tickets purchased.
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vita wants to center a towel bar on her door that is 27 1/2 inches wide . she determines that the distance from each end of the towel bar to the end of the door is 9 inches. write and solve an equation to find the length of the towel bar
The length of the towel bar is 9.5 inches.
Explanation
Suppose, the length of the towel bar is [tex]x[/tex] inches.
The distance from each end of the towel bar to the end of the door is 9 inches. So, the total width of the door will be: [tex][x+(9*2)] = (x+18)inches[/tex]
Given that, the width of the door is [tex]27\frac{1}{2}[/tex] inches or 27.5 inches. So, the equation will be........
[tex]x+18=27.5\\ \\ x=27.5-18= 9.5[/tex]
Thus, the length of the towel bar will be 9.5 inches.
Final answer:
Vita can center the towel bar on her 27 1/2-inch wide door by ensuring it is 9.5 inches long. This is done by deducting the combined distances from the ends of the towel bar to the door edges (18 inches) from the total width of the door.
Explanation:
Vita wants to find the length of the towel bar that she wants to center on a door that is 27 1/2 inches wide, with the distance from each end of the towel bar to the end of the door being 9 inches. To solve for the length of the towel bar, we denote the length of the towel bar by x. Then, we can set up an equation where the sum of the distances from both ends of the towel bar to the door edges and the length of the towel bar itself equals the width of the door.
The equation will be:
9 inches + x + 9 inches = 27 1/2 inches
We combine the known distances to simplify the equation:
18 inches + x = 27 1/2 inches
To find x, we subtract 18 inches from both sides of the equation:
x = 27 1/2 inches - 18 inches
Converting 27 1/2 inches to a decimal, we have 27.5 inches. Thus:
x = 27.5 inches - 18 inches
x = 9.5 inches
Therefore, the length of Vita's towel bar should be 9.5 inches long to be centered on her 27 1/2-inch wide door.
At 7:45 a.m. Mike began walking to school. He arrived at his school at 8:20 a.m. How long did it take him to walk to school?
A. 15 minutes
B. 25 minutes
C. 35 minutes
D. 40 minutes
E. 65 minutes
Solve this problem using the proper formula
A gardener is installing a circular garden. The circumference of the circle 132 feet. What radius should he use to layout the circle if he uses p=22/7?
The radius is feet.
Given that the garden should be in a circular shape.
And the circumference of the circle would be, C = 132 feet.
It says to find the radius of the circular garden, r = ?
We know the formula for Circumference of the circle is given as follows :-
Circumference of circle = 2π x radius
C = 2·π·r
Hint:- It says to use pi = 22/7.
[tex] 132=2*\frac{22}{7}*r \\\\
132=\frac{44}{7}*r \\\\
r=132*\frac{7}{44} \\\\
r= \frac{924}{44} \\\\
r= 21 \;feet [/tex]
Hence, Radius would be r = 21 feet.
Gabriela buys a basketball for $78 and a soccer ball for $32 she must pay 8.5% sales tax. What is the total amount she must pay?
Final answer:
To find the total amount Gabriela must pay for the basketball and soccer ball including sales tax, add the cost of the items, convert the tax rate to a decimal, calculate the tax amount, and then add it to the subtotal for a total of $119.35.
Explanation:
To calculate the total amount Gabriela must pay after purchasing a basketball for $78 and a soccer ball for $32 with an 8.5% sales tax, we need to follow these steps:
Firstly, we calculate the subtotal by adding the price of the basketball and the soccer ball: $78 + $32 = $110.
Next, we convert the sales tax rate from a percentage to a decimal by dividing by 100: 8.5% ÷ 100 = 0.085.
Then, we calculate the total sales tax by multiplying the subtotal by the sales tax rate: $110 × 0.085 = $9.35.
Lastly, we add the sales tax to the subtotal to find the total amount Gabriela must pay: $110 + $9.35 = $119.35.
Therefore, after including the sales tax, the total amount Gabriela must pay is $119.35.
2 times 2 plus 10 plus 200 plus 56
Answer:
270
Step-by-step explanation:
2*2+10+200+56=270
Find the odds in favor of rolling a two of a kind when rolling a pair of dice
5 to 1
3 to 1
1 to 5
1 to 3
help!
Twenty seventh grade students are polled about which of three ice cream flavors they prefer. If one student is picked at random, which of the following tables represents vanilla as an event that is likely?
Jalen plots two integers on a horizontal number line. The leftmost integer is negative. Which must be true of the second integer?
The second integer is negative.
The second integer is positive.
The second integer is greater than the first integer.
The second integer is less than the first integer.
Answer:
c)The second integer is greater than the first integer
Step-by-step explanation:
In mathematics, a number line can be defined as a straight line with numbers placed at equal intervals or segments along its length.
A number line can be extended infinitely in any direction and is usually represented horizontally, with 0 in the middle and negative numbers on the left and positive numbers to the right of zero.
Thus a number line can be used to represent both positive and negative rational numbers as well as integers.
The numbers to the left are less than that to the right
Hence here the option c) is right