Answer:
Number of sugar cubes fit in box = 600 sugar cube
Step-by-step explanation:
Given:
Size of sugar cube = 1 x 1 x 1 cm
Size of box.
Length = 5 cm
Width = 12 cm
Height = 10
Find:
Number of sugar cubes fit in box
Computation:
Volume of sugar cube = 1 x 1 x 1
Volume of sugar cube = 1 cm³
Volume of box = 5 x 10 x 12
Volume of box = 600 cm³
Number of sugar cubes fit in box = Volume of box / Volume of sugar cube
Number of sugar cubes fit in box = 600 / 1
Number of sugar cubes fit in box = 600 sugar cube
Answer:
600
Step-by-step explanation:
volume of the cube a^3 = 1×1×1 = 1 cm^3
Volume of the box = 5×10×12 =600 cm^3
No. of the sugar cubes fit in the box = Volume of the box/ vol. of the cube
=600/1 =600
What is it can someone help me on question 11 plz
Answer:
D
Step-by-step explanation:
HOLY GOD
TSUKIIIIIIII.
I LOVE U TSUKIII
Please helppp I suckk at fractions!!!
Answer: a=2 b= 11/6 or 1 5/6
Step-by-step explanation:
Jim is paid for overtime when he works more than 40 hours per week.Enter an expression for the number of hours he works overtime when he works h hours.
Answer:
Overtime hours = [h - 40] hours
Step-by-step explanation:
Given:
Weekly hour work = 40 hours per week
Total hour work = h hours
Find:
Overtime hours
Computation:
Overtime hours = Total hour work - Weekly hour work
Overtime hours = [h - 40] hours
find all values of c such that the domain of the following function is the set of all real numbers
f(x) = (x + 7) / (x^2 + 2cx + 14)
Answer:
[tex]-\sqrt{14} < c < \sqrt{14}[/tex]
Step-by-step explanation:
For the function to have a domain of all reals, the denominator cannot have a value of zero. x^2 + 2cx + 14 will not have zero as a root if it has no real solutions. A quadratic equation has no solutions when the discriminant is negative.
b^2 - 4ac < 0
(2c)^2 - 4(1)(14) < 0
4c^2 - 56 < 0
4c^2 < 56
c^2 < 14
[tex]-\sqrt{14} < c < \sqrt{14}[/tex]
The domain of the function, f(x) = (x + 7) / (x^2 + 2cx + 14) is the set of all real numbers for the value of c as [tex]-\sqrt{14} < c < \sqrt{14}[/tex] .
Domain of a function are the values that a function can take that is the set of all possible inputs.
Given the following function:
[tex]f(x)=\dfrac{x+7}{x^2+2cx+14}[/tex]
For the real number domain of the given function, the denominator must be a non-zero term. Because, if the denominator is zero then the function will result in an undefined number which does not lie in the real number domain.
For denominator to be non zero, we have to find the value of x which is not the solution of the equation of denominator.
x²+2cx+14≠0
Such value of x can be determined using discriminant.
d<0, then no real solution exists.
d=b²-4ac
Here a=1, b=2c, c=14
d=4c²-4x14
d=4c²-56
d<0
4c²-56<0
4c²<56
c²<14
[tex]-\sqrt{14} < c < \sqrt{14}[/tex]
Thus, [tex]-\sqrt{14} < c < \sqrt{14}[/tex] is such that the domain of the function is the set of all real numbers.
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This animation shows a situation in which two quantities are related. Enter the independent quantity in this situation: Enter the dependent quantity in this situation:
Answer:
[tex]\Large \boxed{\mathrm{independent: \ time}} \\\\\\ \Large \boxed{\mathrm{dependent: \ elevation }}[/tex]
Step-by-step explanation:
The independent variable is on the x-axis.
The independent quantity is time.
The dependent variable is on the y-axis.
The dependent quantity is elevation.
Answer:
The dependent variable is on the y-axis.
The dependent quantity is elevation.
The independent variable is on the x-axis.
The independent quantity is time.
Simplify the algebraic expression -2(x - 3) + 4(-2 x + 8)
*Plz explain your answer*
-10x+38
Let's simplify step-by-step.
- 2(x – 3) +40-2r + 8)
Distribute:
= (-2)(x) + (-2)(-3) + (4)(-2x) + (4)(8)
= -2x + 6+ - 8x + 32
Combine Like Terms:
= -2x + 6 + - 8x + 32
= (-2x + - 8x) + (6 + 32)
-10x + 38
The simplified form of the algebraic expression -2(x-3)+4(-2x+8) is -10x+38.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given algebraic expression -2(x-3)+4(-2x+8), when simplified it can be written as,
[tex]-2(x -3) + 4(-2 x + 8)\\\\=-2x +6-8x+32\\\\=-10x+38[/tex]
Hence, the simplified form of the algebraic expression -2(x-3)+4(-2x+8) is -10x+38.
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A____ is a fixed position in space and has no dimensions or size. hins
Answer:
Point
Step-by-step explanation:
This is the definition of a point.
A "point" is a fixed position in space and has no dimensions or size.
Cheers.
Answer:
A point is a fixed position in space and has no dimensions or size.
If the length of a side of an
equilateral triangle is x, what is half of the perimeter?
Answer:
3/2 x
Step-by-step explanation:
length of a side of an equilateral triangle is x
The perimeter is
P = 3s where s is the side length
P = 3x
1/2 of the perimeter
1/2 (3x)
3/2 x
For the constant function v(x) = 1, which statement describes the additive and multiplicative inverses? Both inverses are equal to v(x). Neither inverse is equal to v(x). The additive inverse is equal to v(x), but the multiplicative inverse is not. The multiplicative inverse is equal to v(x), but the additive inverse is not.
Answer:
The multiplicative inverse is equal to v(x), but the additive inverse is not.
Step-by-step explanation:
The multiplicative inverse is equals to v(x) but the additive inverse is not.
What is additive inverse?Additive inverse is a number which on getting added to the original number results in zero.
For example, 5 - 5 = 0
⇒ -5 is the additive inverse of 5.
What is multiplicative inverse?Multiplicative inverse of a number is a value which when multiplied by the original number results in 1.
For example
[tex]5 (\frac{1}{5} )= 1[/tex]
⇒ [tex]\frac{1}{5}[/tex] is the multiplicative inverse of 5.
According to the given question.
We have a function
v(x) = 1
Let the additive inverse of 1 is x.
⇒ 1 + x = 0
⇒ x = -1.
Hence, the additive inverse of 1 is -1.
Let the multiplicative inverse of 1 is y.
⇒ 1 × y = 1
⇒ y = 1/1
⇒ y = 1
Hence, the multiplicative inverse of 1 is 1.
From the above calculation we can see that, the multiplicative inverse is equals to v(x) but the additive inverse is not.
Thus last option is correct.
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a bottle filled with weighs 42 pounds If the water by itself weighs 11 times as much as the bottle, what is the weight of the bottle
Answer:
462 pounds
Step-by-step explanation:
weighs 42 pounds
and the water 11 times more
so, 42*11 = 462 pounds
Guys I’m scared to ask my dad for help cus he just helped me and the info went right out the window? Can someone help me? Ik the answer but I needa show work
Answer:
14. -5√30 +3√2
15. 18√5 -30√3
Step-by-step explanation:
You can multiply radicals using ...
(√a)(√b) = √(ab)
And you can simplify radicals using ...
√(a²b) = a√b
_____
14. Using the distributive property, then simplifying the radicals, we have ...
[tex]\sqrt{3}(-5\sqrt{10}+\sqrt{6})\\\\=-5\sqrt{3\cdot10}+\sqrt{3\cdot6}\\\\=-5\sqrt{30}+\sqrt{3^2\cdot2}\\\\=\boxed{-5\sqrt{30}+3\sqrt{2}}[/tex]
__
15. Similarly, ...
[tex]-2\sqrt{15}(-3\sqrt{3}+3\sqrt{5})\\\\=6\sqrt{15\cdot3}-6\sqrt{15\cdot5}\\\\=6\sqrt{3^2\cdot5}-6\sqrt{5^2\cdot3}\\\\=\boxed{18\sqrt{5}-30\sqrt{3}}[/tex]
what does (316)(18) mean?
Answer:
It means multiply the 2 numbers.
Step-by-step explanation:
(316)(18) means 316 * 18
= 5688.
The outcome of the given expression is 5724
The given expression:
(316)(18)
To find:
the outcome of the expression:
The outcome of the given expression is obtained by multiplying them out.
[tex](318)(18) = 318 \times 18 = 10(318) + 8(318) = 3180 + 2544 = 5724[/tex]
Thus, the outcome of the given expression is 5724
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To which subset(s) of real numbers does the number -4 belong? Choose all that apply Irrational numbers Integers Whole numbers Natural numbers Rational numbers
Answer:
The answer is: Integers, and Rational Numbers.
Step-by-step explanation:
the number -4 belongs to the subsets of real numbers: Integers and Rational numbers.
The number -4 belongs to the following subsets of real numbers:
1. Integers: Integers include all positive and negative whole numbers, as well as zero. Since -4 is a negative whole number, it is an integer.
2. Whole numbers: Whole numbers include all non-negative integers. Since -4 is negative, it is not a whole number.
3. Natural numbers: Natural numbers include all positive integers. Since -4 is negative, it is not a natural number.
4. Rational numbers: Rational numbers include all numbers that can be expressed as a ratio of two integers, where the denominator is not zero. -4 can be expressed as -4/1, where -4 is an integer and 1 is also an integer. Therefore, -4 is a rational number.
In conclusion, the number -4 belongs to the subsets of real numbers: Integers and Rational numbers.
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23) The Dinner Plate
7.G.B.4
A dinner plate has a
diameter of approximately
13 inches. What is the
circumference of the
dinner plate? What is the
area of the dinner plate?
Use 3.14 for pi. Draw a
picture of a dinner plate
and label the dimensions
(radius and diameter).
Write the circumference
and area on your drawing.
Answer:
circumference is 40.84 and the area is 132.73
Step-by-step explanation:
A rational number is any number that can be expressed as a
a)negative number
b)fraction
c)square root
d)integer
Answer:
Hey there!
A rational number is any number that can be expressed as a fraction.
Hope this helps :)
Answer:
D.
Step-by-step explanation:
A rational number is a number that can be express as the ratio of two integers. A number that cannot be expressed that way is irrational. For example, one third in decimal form is 0.33333333333333 (the threes go on forever). A rational number comes to an end at some point, even if the end is long, it will eventually stop.
Write 7.35 as a mixed number.
Answer:
7 7/20 is the answer.
Answer: 7 7/20
Step-by-step explanation:
Rewrite the decimal number as a fraction with 1 in the denominator
7.35=7.35 / 1
Multiply to remove 2 decimal places. Here, you multiply top and bottom by 100
7.35/ 1 × 100/ 100=735 / 100
Find the Greatest Common Factor (GCF) of 735 and 100, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 5
735 ÷ 5 = 147
100 ÷ 5 = 20
Divide 147/ 20 = 7 7/20
2^(x-4) = 4a^(x-6) what is the value of x?
Answer:
First you have to make the values equal....
which is 2^(x-4)=2a^2(x-6).
then since 2 are equal and its x we are looking for.
x-4=2x-12.
x-2x=-12+4.
-x=-8.
x=8.
Make t the subject of the formula 2(d – t) = 4t + 7
Step-by-step explanation:
2(d-t)=4t +7
open the bracket
2d - 2t =4t +7
collect like terms
2d-7=4t +2t
2d-7=6t
divide both sides by 6
2d-t/6=6t/6
T=2d-t/6
Answer:
t = (2d-7)/6
Step-by-step explanation:
2(d – t) = 4t + 7
Distribute
2d-2t=4t+7
Add 2t to each side
2d-2t+2t=4t+2t+7
2d = 6t+7
Subtract 7 from each side
2d-7 = 6t
Divide by 6
(2d-7)/6 = t
Which of the following is an example of the Associative Property of Addition? A. c • (3 • f) = (c • 3) • f B. c • 3 = 3 • c C. c + 3 = c + 3 D. c + (3 + f) = (c + 3) + f
Answer:
D
Step-by-step explanation:
Associative property states that the sum of three or more numbers stays the same no matter how the numbers are grouped.
A is not correct because it is multiplication not addition and it asked for addition
Write –3/8 as a decimal number.
Answer:
-0.375
Step-by-step explanation:
you just divide the numbers.
solve the equation below
for the indicated variable
1/3ab^2=6 (solve for a)
Answer:
a=18/b2
Step-by-step explanation:
The required equation for the indicated variable is a = 18/b² which is solved for a.
What is an equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
We have been given the equation for the indicated variable as
⇒ 1/3ab² = 6
Multiply by 3 both sides of the above equation,
⇒ ab² = 6×3
⇒ ab² = 18
Divide by b² into both sides of the equation, and we get
⇒ a = 18/b²
Therefore, the required equation for the indicated variable is a = 18/b².
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¿De que manera las propiedades de las operaciones de los números racionales las podemos emplear en la estimación de presupuesto?
Answer:
La pregunta no está completa. Explicaré las propiedades de funcionamiento de los números racionales.
Explanation:
Las principales propiedades de los números racionales son:
- Propiedad de cierre
- Propiedad de conmutatividad
- Propiedad asociativa
- Propiedad distributiva
La propiedad de cierre establece que para dos números racionales cualesquiera xey, x + y, x-y, x * y, y x / y también será un número racional.
La propiedad de conmutatividad establece que para dos números racionales cualesquiera xey, x + y = x + y; x - y ≠ y - x; x * y = y * x; x / y ≠ y / x.
La propiedad asociativa establece que para cualesquiera tres números racionales dados x, y y z, (x + y) + zyx + (y + z) son iguales.
La propiedad distributiva establece que para tres números cualesquiera x, y y z, x × (y + z) = (x × y) + (x × z).
What is the sum of 4.3+4.16
Answer:
8.46
Step-by-step explanation:
Answer:
8.46
Step-by-step explanation:
6+0 =6
3+1=4
4+4=8
No carryovers
The length of a rectangle is represented by (6x - 2), and the width is represented by (x - 1). Which expression best
represents the perimeter of the rectangle?
Answer:
[tex] \boxed{ \bold{ \huge{\boxed{ \sf{14x - 6}}}}}[/tex]
Step-by-step explanation:
Given,
Length of a rectangle ( l ) = 6x - 2
Width of a rectangle ( w ) = x - 1
Perimeter of a rectangle ( P ) = ?
Finding the expressions that represents the perimeter of the rectangle
[tex] \boxed{ \sf{perimeter \: of \: rectangle = 2(l + w)}}[/tex]
⇒[tex] \sf{2(6x - 2 + x - 1)}[/tex]
Collect like terms
⇒[tex] \sf{2(7x - 2 - 1)}[/tex]
Calculate
⇒[tex] \sf{2(7x - 3)}[/tex]
Distribute 2 through the parentheses
⇒[tex] \sf{14x - 6}[/tex]
Hope I helped!
Best regards!!
What is the slope?? Hdhdhfucufuchchdbdbdvrvrvdbshshd
Answer:
-2/3
Step-by-step explanation:
To find the slope, pick two points on the line, and use the slope formula
( 0,50) and (30,30)
m = ( y2-y1)/(x2-x1)
= (30-50)/(30-0)
= -20/30
= -2/3
Answer:
m = -2/3
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Step 1: Find 2 coordinates
(0, 50)
(60, 10)
Step 2: Plug into formula
m = (10 - 50)/(60 - 0)
m = -40/60
m = -4/6
m = -2/3
If a person is riding on a bicycle at a speed of 10 meters / second for 25 seconds (t), how far did she go? ; s=d/t ?
Group of answer choices
200
225
250
Answer:
250
Step-by-step explanation:
I looked up s=d/t calculator and it is the calculator soup link
Prove theorems about triangles
a) impossible
b) the sum of the angles in a triangle is 180°
63° + 59° + 57° = 179°
translating verbal expression: the quotient of twice a number t and 13
Answer:
My answer to the question is 2t÷13.
Answer:
[tex]\Huge \boxed{\frac{2t}{13} }[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
The number t is doubled.
[tex]\Rightarrow t *2[/tex]
[tex]\Rightarrow 2t[/tex]
Quotient is the result after dividing two or more values.
[tex]\Rightarrow \displaystyle \frac{2t}{13}[/tex]
[tex]\rule[225]{225}{2}[/tex]
what is the domain of h?
Which statement is NOT true about Rational Numbers ? ( 2 answers ) a . Whole Numbers are Rational Numbers b . Integers, Whole Numbers, and Natural numbers are Rational Numbers. c. Only fractions are rational d. Repeating decimals and terminating decimals are Rational number.
Answer:
The answers are A and B.
Step-by-step explanation: