Answer:
.5 or l/2 liter
Step-by-step explanation
4 liters x 5= 20 liters / 40 people =.5 or 1/2 liter
Koby's solution for 4(x - 3) = x + 2 is shown at the
right. Did he solve the equation correctly? Explain why
or why not.
4(x - 3) = 3x +2
4x - 12 = 1/x + 2
2. (4X – 12) = 2 · ( 3x + 2
8x - 12 = x + 2
8x = x + 14
7x = 14
x
=2
Koby did not solve the equation correctly. The correct solution for 4(x - 3) = x + 2 is x = 14/3 or approximately 4.667. The steps include distribution, combining like terms, and isolating the variable.
The student's solution contains errors in the algebraic process. The correct steps to solve the original equation 4(x - 3) = x + 2 are as follows:
Distribute the 4 into the parentheses: 4x - 12 = x + 2.
Subtract x from both sides to get all the x terms on one side: 4x - x - 12 = 2.
Simplify the equation: 3x - 12 = 2.
Add 12 to both sides to isolate the variable term: 3x = 14.
Divide both sides by 3 to solve for x: x = 14/3.
The correct solution is x = 14/3 or approximately 4.667, not x = 2 as Koby had. To check the solution, you substitute the value back into the original equation:
4(14/3 - 3) = 14/3 + 2
which simplifies to:
56/3 - 12 = 14/3 + 2
and further to:
56/3 - 36/3 = 14/3 + 6/3
resulting in an identity:
20/3 = 20/3.
what is 176/14 simplified?
Answer:
12.57
Step-by-step explanation:
Answer:
12.57 i did on the calculator
Step-by-step explanation:
A mother is three times as old as her son, and in 11 years she will be just twice his age. Find their present ages
Answer:The kid is 11 and the mother is 33
Step-by-step explanation:
do the math
Step-by-step explanation:
Let the present age of son be x years
Therefore, mother's age = 3x years
11 years after:
Son's age = (x + 11) years
Mother's age = (3x + 11) years
According to the given condition:
3x + 11 = 2 (x + 11)
[tex] \therefore \: 3x + 11 = 2x + 22 \\ \therefore \: 3x - 2x = 22 - 11 \\ \therefore \: x = 11 \\ \implies \: 3x = 3 \times 11 = 33 \\ thus \\ Present \: age \: of \: mother = 33 \: years \\ Present \: age \: of \: son= 11 \: years \\ [/tex]
9. Abby walked 3 km west. Then she walked
twice as far going east. She continued east
for another kilometre, stopping 2 km east
of Lauren's home. When Abby started
walking, how far was she from Lauren's
home? Explain how you know.
Answer:
2km
Step-by-step explanation:
- Abby walked 3 km west: Abby is 3km west from her starting point.
- Then she walked twice as far going east: she walks 6km east so she's 3 km east from her starting point
- She continued east for another kilometre: She's is 4 km east from her starting point
- Stopping 2 km east of Lauren's home: She's currently 2 km east from Lauren's home and 4km east from her starting point. Therefore, Abby's starting point is 4km - 2km = 2km west from Lauren's home
2) The two rectangles shown are similar.
24 cm
9 cm
16 cm
What is the missing measurement?
Fx = 3 cm
G
x = 6 cm
H
x = 18 cm
J
x = 32 cm
Answer:
[tex]6\ cm[/tex]
Step-by-step explanation:
First Rectangle:
[tex]length(l_1)=24\ cm\\\\Width(b_1)=9\ cm[/tex]
Second Rectangle:
[tex]length(l_2)=16\ cm\\\\Let\ Width=b_2\ cm[/tex]
[tex]Since\ these\ two\ rectangles\ are\ similar\\\\\frac{l_2}{l_1}=\frac{b_2}{b_1}\\\\\frac{16}{24}=\frac{b_2}{9}\\\\16\times 9=24\times b_2\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ cross\ multiplication\\\\b_2=\frac{16\times 9}{24}\\\\b_2=6\ cm[/tex]
Which expression means 9.7 split into a certain number of equal parts?
9.7n
9.7 + n
9.7 minus n
StartFraction 9.7 over n EndFraction
Answer:
Option D
Step-by-step explanation:
Just took the quiz :)
Answer:
it is the last answer
Step-by-step explanation:
jamie has 8/10 of a candy bar leftover he want to split into 1/3 pieces how many 1/3 pieces can he make
Answer:
Step-by-step explanation: solution.. 8/10 of candy bar left over to be split into 1/3 pieces...
(8/10)÷1/3=12/5=2.4pieces
how do you solve a quadratic function using x^2+bx+c?
Answer:
Check the attachment, then plug in values as needed
Step-by-step explanation:
What number comes before 12 when you count by twos?
A 8
B 11
C 10
D 9
Answer:
c
Step-by-step explanation:
brainlist
the measure of C if a=6 and b=9.
[tex]3 \sqrt{5} [/tex]
[tex]9 \sqrt{5} [/tex]
[tex]3 \sqrt{13} [/tex]
[tex]5 \sqrt{3} [/tex]
Answer:
[tex]c=3\sqrt{13}[/tex]
Step-by-step explanation:
Pythagorean Theorem: In the right triangle the square of longer side is equal to the sum of the squares of other sides.
[tex]c^2=a^2+b^2\\\\c^2=6^2+9^2\\\\c^2=36+81\\\\c^2=117\\\\c^2=3\times 3\times 13\\\\c=\sqrt{3\times 3\times 13}\\\\c=3\sqrt{13}[/tex]
Can anyone help me with theses problems?
what is the probability of rolling a dice at most 3 times until a 6 occurs
Answer:
Probablity of getting six in at most three roll= 0.199.
Step-by-step explanation:
Given: Dice rolled at most 3 times untill a 6 occurs.
First, finding the probablity of getting 6 in a dice if rolled once.
Probablity= [tex]\frac{chances\ of\ occurance}{Total\ number\ of\ event}[/tex]
We know, dice have six side, therefore, total number of event will be 6.
∴ Probablity of getting six in one roll= [tex]\frac{1}{6}[/tex]
As given, Dice is rolled at most 3 times.
Now, finding the probablity of getting 6 in a dice if rolled 3 times.
∴ Probablity of getting six in three roll= [tex]\frac{1}{6}+(\frac{1}{6})^{2} +(\frac{1}{6})^{3}[/tex]
⇒ Probablity of getting six in three roll= [tex]\frac{1}{6}+\frac{1}{36} +\frac{1}{216}[/tex]
Taking LCD 216
⇒Probablity of getting six in three roll= [tex]\frac{1\times 36+ 6\times 1+1}{216}[/tex]
⇒Probablity of getting six in three roll= [tex]\frac{43}{216}[/tex]
∴Probablity of getting six in three roll=0.199
Fraction calculator 66 1/2 - 43=
Answer:
[tex]\frac{47}{2}[/tex]
Step-by-step explanation:
66[tex]\frac{1}{2}[/tex] - 43 = 47/2
Answer:
47/2
Step-by-step explanation:
The path of a football kicked by a field goal kicker can be modeled by the equation y = –0.04x2 + 1.56x, where x is the horizontal distance in yards and y is the corresponding height in yards. What is the approximate maximum height of the football?
The maximum height of the football is approximately 15.21 yards.
Explanation:The given equation for the path of the football is y = –0.04x^2 + 1.56x, where x is the horizontal distance in yards and y is the corresponding height in yards. To find the maximum height of the football, we need to determine the vertex of the parabolic function represented by the equation. The vertex represents the point where the function reaches its maximum or minimum value.
The vertex of a quadratic function in the form y = ax^2 + bx + c can be found using the formula x = -b/(2a). In this case, a = -0.04 and b = 1.56. Plugging these values into the formula, x = -1.56/(2*-0.04) = 19.5. Substituting this value back into the equation, we can find the corresponding y value which represents the maximum height of the football.
y = –0.04(19.5)^2 + 1.56(19.5) = -0.04(380.25) + 30.24 = 15.21 yards
evaluate the expression 3(x-1)2nd power +2x-7 for x=3
What is the first step for evaluating this expression?
Substitute 3 for X
distribute the 3
combine like terms
Answer:
11
3Step-by-step explanation:
Given
3(x - 1)² + 2x - 7 ← substitute x = 3 into the expression
= 3(3 - 1)² + 2(3) - 7
= 3(2)² + 6 - 7
= 3(4) - 1
= 12 - 1
= 11
The first step in evaluating the expression is to substitute 3 for x.
The first step in evaluating the expression 3(x-1)^2 + 2x - 7 for x=3 is to substitute 3 for x. This is because before you can simplify or combine like terms, you need to know the value of the variables involved. Once substitution is done, you can proceed with further simplification such as distributing and combining like terms.
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Find the sum of a finite geometric series.
Amanda teaches the art of quilling to 4 students. These students each teach the art of quilling to 4 other students. If this process continues for 5 generations after Amanda,
people other than Amanda will know the art of quilling.
Answer:
4096
Step-by-step explanation:
4*4=16
16*4=64
64*4=256
256*4=1024
1024*4=4096
if this doesn't work, try the other products
Answer:
1,024
Step-by-step explanation:
Five generations after Amanda.
So, Amanda would be considered generation 0.
1st Generation- 4^1=4
2nd Generation-4×4=16
3rd Generation-16×4=64
4th Generation-64x4=256
5th Generation-256×4=1,024
Which number completes the inequality? Two-thirds less-than blank less-than StartFraction 7 over 9 EndFraction Three-fifths StartFraction 6 Over 9 EndFraction Three-fourths StartFraction 6 Over 7 EndFraction
Answer:
c
Step-by-step explanation:
Final answer:
To complete the inequality, we convert the fractions to decimal form or find a common denominator to compare them. The number that completes the inequality is three-fourths (0.75), as it is larger than two-thirds but smaller than seven-ninths.
Explanation:
The student is asking which number fulfills the inequality between two-thirds and various other fractions. To determine the correct number that completes the inequality, we should consider the values of the fractions in decimal form or by comparing them to each other after finding a common denominator.
For example, two-thirds is approximately 0.666..., three-fifths is 0.6, seven-ninths is approximately 0.777..., three-fourths is 0.75, and six over nine is equivalent to two-thirds (as six-ninth simplifies to two-thirds).
Considering these values, the number that fills the gap should be bigger than two-thirds and smaller than the smallest fraction among the given options that is bigger than two-thirds. Therefore, three-fourths (0.75) fits the inequality because it is larger than two-thirds (approximately 0.666...) but less than seven-ninths (approximately 0.777...).
50 + 50 - 25 x 0 +2 + 2
Answer:
104
Step-by-step explanation:
Any expression multiplied by 0 equals 0
when adding or subtracting 0, the quantity doesn't change
Answer:
I think it is 4 or 104. There are 2 ways to look at it.
Way #1:
50 + 50 = 100
100 - 25 = 75
75 x 0 = 0
2 + 2 = 4
0 + 4 = 4
Way #2:
50 + 50 = 100
25 x 0 = 0
100 - 0= 100
2 + 2 = 4
100 + 4 = 104
Layla is walking in a rectangular park. She walks one side that is 50 yards and then the other
side that is 120 yards. Layla develops a cramp in her leg and walks diagonally through the park
to head back home. What is the total distance that layla walked? (HINT: Final answer is
perimeter of the triangle park)
120 yd.
PARK
PARK
50 vd
Oak St
1
Park Rd
Total distance walked by Layla is 300 yards
Solution:
Given that,
Layla is walking in a rectangular park
She walks one side that is 50 yards and then the other side that is 120 yards
Length = 120 yards
Width = 50 yards
Layla develops a cramp in her leg and walks diagonally through the park to head back home
Let us find the length of diagonal of rectangle
[tex]d=\sqrt{w^2+l^2}[/tex]
[tex]d = \sqrt{50^2+120^2}\\\\d = \sqrt{2500+14400}\\\\d = \sqrt{16900}\\\\d = 130[/tex]
Thus length of diagonal is 130 yards
What is the total distance that layla walked?
Given that Final answer is perimeter of the triangle park
The diagonal and length and width forms a right angle triangle
Perimeter of triangle = diagonal length + width + length
Perimeter of triangle = 130 + 50 + 120 = 300
Thus total distance walked by Layla is 300 yards
The total distance Layla walked, including the two sides of the park and the diagonal path, is calculated using the Pythagorean theorem to be 300 yards.
Explanation:The question asks us to find the total distance Layla walked while going through the rectangular park diagonally. Layla first walks one side of the park which is 50 yards long and then the adjoining side which is 120 yards long. To do this, we will first find the length of the diagonal using the Pythagorean theorem and then add it to the sum of the two sides she walked to get the total distance. The Pythagorean theorem states that in a right-angled triangle the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This can be written as c2 = a2 + b2.
Applying the Pythagorean theorem to find the diagonal (hypotenuse):
Let a = 50 yards (length of the first side)Let b = 120 yards (length of the second side)c2 = a2 + b2 = 502 + 1202c2 = 2500 + 14400c2 = 16900c = √16900 = 130 yards (length of the diagonal)Now, we can find the total distance Layla walked:
Distance along the first side = 50 yardsDistance along the second side = 120 yardsDistance diagonally across the park = 130 yardsTotal distance = 50 yards + 120 yards + 130 yardsTotal distance = 300 yardsTherefore, the total distance Layla walked is 300 yards.
Learn more about Pythagorean Theorem here:https://brainly.com/question/28361847
#SPJ12
Which relationship describes angles 1 and 2?
Select each correct answer.
supplementary angles
adjacent angles
vertical angles
complementary angles
Answer:
it's supplementary angles
Step-by-step explanation:
1 + 2 =180
write an algebraic expression for the following: the product of 5 and the sum of 9 and y. if y = 3 what’s the value of the expression
Answer:
60
Step-by-step explanation:
5 x (9 + y)
= 5 x ( 9 + 3)
= 5 x (12)
=60
Final answer:
The algebraic expression is 5(9 + y), which becomes 5(12) when y equals 3, resulting in a value of 60.
Explanation:
The algebraic expression for the product of 5 and the sum of 9 and y is 5(9 + y). To find the value of this expression when y equals 3, you substitute 3 for y in the expression, getting 5(9 + 3). Following the order of operations, calculate the sum inside the parentheses first, which gives you 5(12), and then multiply by 5 to find the product, resulting in a final value of 60.
I need someone help
Answer:
[tex]1\frac{4}{5}[/tex]
Step-by-step explanation:
Each is dived into 5 section. so section is 1/5
The diagram shows a sketch of John's yard. He wants to plant grass, so he must calculate the area of the yard. The distance from A to B is 200 feet; the distance from C to D is 260 feet, and the straight line distance between AB and DC is 220 feet. The area of the yard is
A) 5,720,000 square feet
B) 25,300 square feet
C) 50,600 square feet
D) 57,200 square feet
The area of the yard is 50,600 square feet.
Option: C.
Step-by-step explanation:
The given information forms a trapezoid.
The AB is the upper base (a) and its length is 200 feet.
The CD is the lower base (b) and its length is 260 feet.
A straight line distance from AB and CD is the height (h) and its measures as 220 feet.
The area of trapezoid A= [tex]\frac{a+b}{2} (h)[/tex].
A= [tex]\frac{200+260}{2} (220)[/tex].
=[tex]\frac{460}{2}(220)[/tex].
=230(220).
=50600 [tex]ft^2.[/tex]
Thus the area of John's yard is 50,600 square feet.
completa:
1. un numero real es--------------------- si se puede escribir como la razon (cociente) [tex]\frac{a}{b}[/tex] de dos numeros enteros , donde b [tex]\neq[/tex] 0.
Answer:
un número real es una fracción o número racional
si puedes escribir como razón (cociente) [tex]\frac{a}{b}[/tex]
de dos números enteros, donde b [tex]\neq[/tex] 0
Step-by-step explanation:
un número real es una fracción o número racional
si puedes escribir como razón (cociente) [tex]\frac{a}{b}[/tex]
de dos números enteros, donde b [tex]\neq[/tex] 0
Find the value of c such that the equation x^2 - c = 0 has 12 and –12 as solutions.
Answer:
c=144
Step-by-step explanation:
The given equation is [tex]x^2-c=0[/tex]
If this equation has 12 and -12 as roots, then the roots must satisfy the equation.
We substitute x=12 to obtain
[tex]12^2-c=0[/tex]
[tex]144-c=0[/tex]
Solve for c to get:
[tex]144=c[/tex]
This implies that:
[tex]c=144[/tex]
We could have also substitute x=-12 to get the same result.
2 + a/6 = -4 what is a?
Answer:
a= -36
Step-by-step explanation:
1. Subtract 2 from both sides
2 + a/6 -2 = -4 -2
2. Simplify
a/6 = -6
3. Multiply both sides by 6
6a/6 = 6(-6)
4. Simplify
a = -36
Plzzzzzzzzzzzzzzzzzzzzzzzzzzzz help will give brainliest:):):)
Answer:
Step-by-step explanation:
diameter of plate=30+5=35 cm
circumference of cake board=2π r=π d=35 d cm
Answer:
35π cm
Step-by-step explanation:
The circumference (C) of a circle is calculated as
C = πd ← d is the diameter
Here the diameter = 30 + 5 = 35 cm, thus
C = 35π cm
What is the factored form of 3x + 21x-24?
Answer:
factorize form of the equation is [tex]24(x-1)=0[/tex] , where [tex]x=1[/tex]
Step-by-step explanation:
Given Equation:
[tex]3x + 21x-24=0[/tex]
Adding the terms of 'x' and taking constants on the other side.
[tex]24x-24=0[/tex]
The sign of the constant will change on changing the side of it.
[tex]24x=24[/tex]
[tex]x=\frac{24}{24}[/tex]
[tex]x=1[/tex]
So, the value of 'x' is 1
The factorized form of the equation can be made by taking the common value from the equation i.e
[tex]24x-24=0\\[/tex]
[tex]24(x-1)=0[/tex]
3.14•8.7•8.7•14.7
Round to the nearest hundreds
Answer:
3493.70
Step-by-step explanation:
if you multipy all these in a calculator you get a long number, look at the third digit behind the decimal, if its 5+ then make the second digit behind the decimal one number higher. If its 4 or under than keep the number the same. To round, cut off all the digits behind the second digit thats past the secimal
If x/5+6=-14 then x equals
Answer:
x = - 100
Step-by-step explanation:
Given
[tex]\frac{x}{5}[/tex] + 6 = - 14 ( subtract 6 from both sides )
[tex]\frac{x}{5}[/tex] = - 20
Multiply both sides by 5 to clear the fraction
x = 5 × - 20 = - 100