Final answer:
The negative solution to the equation x² - 3x - 4 = 0 is x = -1.
Explanation:
The difference of the square of a number and 4 is equal to 3 times that number. To find the negative solution, let's represent the number as x.
The equation becomes x2 - 4 = 3x.
Rearranging the equation, we get x2 - 3x - 4 = 0.
To find the negative solution, we can use the quadratic formula: x = (-b - √(b2 - 4ac)) / (2a).
For our equation, a = 1, b = -3, and c = -4. Plugging these values into the quadratic formula, we get x = (-(-3) - √((-3)2 - 4(1)(-4))) / (2(1)).
Simplifying further, we get x = (3 - √(9 + 16)) / 2, which simplifies to x = (3 - √25) / 2.
The square root of 25 is 5, so x = (3 - 5) / 2, which equals -1.
Therefore, the negative solution to the equation is x = -1.
While Brendan is vacationing with his family at the cabin, they take a motorboat on the river. The motorboat travels
18 miles per hour in still water.
1. Let w represent the speed of the river current in miles per hour. Write an expression for how fast the
motorboat is able to go downstream (with the current) Write another expression for how fast the motorboat is
able to go upstream (against the current).
2. The motorboat travels 49 miles upstream in the same time it takes to travel 77 miles downstream. What is the
speed of the current w? Use the Elimination Method to solve.
Part 1: The speed of the boat traveling downstream is [tex](18+w)[/tex] miles per hr.
The speed of the boat traveling upstream is [tex](18-w)[/tex] miles per hr.
Part 2: The speed of the current is 4 miles per hour.
Explanation:
Part (1): The motorboat travels 18 miles per hour in still.
Let w represents the speed of the current.
When the boat travels downstream, the speed of the current will get added to the speed of the boat.
Thus, the expression can be written as [tex](18+w)[/tex] miles per hr
Hence, the speed of the boat traveling downstream is [tex](18+w)[/tex] miles per hr.
When the boat travels upstream, the speed of the current will get subtracted to the speed of the boat.
Thus, the expression can be written as [tex](18-w)[/tex] miles per hr.
Hence, the speed of the boat traveling upstream is [tex](18-w)[/tex] miles per hr.
Part (2): The boat travels 49 miles upstream in the same time it takes to travel 77 miles downstream.
The distance formula is given by [tex]distance $=$ speed $\times$ time[/tex]
Substituting, we have,
[tex]49=(18-w)t\\49=18t-wt[/tex] ---------------(1)
[tex]77=(18+w)t\\77=18t+wt[/tex] ---------------(2)
Solving using elimination method,
[tex]49=18 t-w t\\77=18 t+w t\\-------\\126=36t[/tex]
Dividing both sides by 36, we have,
[tex]t=3.5[/tex]
Substituting [tex]t=3.5[/tex] in [tex]$49=18 t-w t$[/tex], we get,
[tex]49=18(3.5)-w (3.5)\\[/tex]
[tex]49=63-3.5w\\[/tex]
[tex]-14=-3.5w\\[/tex]
[tex]4=w[/tex]
Thus, the speed of the current is [tex]w=4[/tex] miles per hour.
Final answer:
The expression for the speed of the motorboat downstream is (18 + w) miles per hour. The expression for the speed of the motorboat upstream is (18 - w) miles per hour. To solve for the speed of the current, a system of equations can be set up and solved using the Elimination Method.
Explanation:
1. When the motorboat is traveling downstream (with the current), the speed of the motorboat will be the sum of its speed in still water and the speed of the river current. So the expression for the speed of the motorboat downstream is: (18 + w) miles per hour.
When the motorboat is traveling upstream (against the current), the speed of the motorboat will be the difference between its speed in still water and the speed of the river current. So the expression for the speed of the motorboat upstream is: (18 - w) miles per hour.
2. To find the speed of the current, we can set up a system of equations. Let t represent the time taken for both the upstream and downstream trips. The distance traveled upstream is 49 miles and the distance traveled downstream is 77 miles. Using the formula Distance = Speed x Time, we can write the following equations:
(18 + w) * t = 77
(18 - w) * t = 49
We can solve this system of equations using the Elimination Method. First, multiply the first equation by (18 - w), and multiply the second equation by (18 + w) to eliminate the variable w:
[(18 + w) * t] * (18 - w) = [(18 - w) * t] * (18 + w)
Simplify both sides of the equation:
(18 + w)(18 - w)t = (18 - w)(18 + w)t
Expand:
(18² - w²)t = (18² - w²)t
Cancel out the like terms:
324 - w² = 324 - w²
This equation is true for any value of w. Therefore, there are infinitely many possible values for the speed of the current w. The specific value of w would depend on the given values of t and the distance.
What is 4f - 24 + 4f = -8
Answer:
F = 2
Step-by-step explanation:
4f-24+4f=-8
collect like terms
8f-24=-8
move constant to the right
8f=-8+24
calculate
8f=16
divide both sides by 8
Answer F = 2
Un camión pesa 875 kg la diferencia entre el peso del camión vacío y el peso de la carga que lleve no debe ser inferior a 415 kg, si hay que cargar 4 cajas iguales cuanto puede pesar con lo máximo cada una de ellas para poder llevarlas en el camión? Ayuda por favor
Answer:
The weight of each box must be less than 115 kg to be carried in the truck.
Step-by-step explanation:
The weight of the truck is, T = 875 kg.
Let the weight of one box be x kg.
Given:
[tex]875-4x>415[/tex] kg.
Solve the above inequality for x as follows:
[tex]875-4x>415\\-4x>415-875\\-4x>-460\\x<\frac{-460}{-4}\\ x<115[/tex]
As the weight of a box cannot be less than 0, the range of x is (0, 115).
Thus, the weight of each box must be less than 115 kg to be carried in the truck.
A company rents bicycles for a few of $10 plus $4 per hour of use. Write an algebraic expression for the total cost in dollars for renting a bicycle for h hours.
Answer: Cost(c) t（time)
c=10+4t
Step-by-step explanation:
Find the exact values below. If applicable, click on "Undefined".
cot 7pi/6
Answer:
√3
Step-by-step explanation:
We cannot solve this operation directly. Because cot7pi/6 is undefined.
We know that 1/tan= cot.
so we will first take the reciprocal of cot that is 1/tan.
So,
cot7pi/6= 1/tan 7π/6
∵7π/6 = 210 where pi=180
so cot7π/6 =1/tan210
cot7π/6 =1/1÷√3
cot7π/6 = √3
look at the images please helppp
Let's begin with point A:
[tex]A(7,-4)[/tex]
So we need to find the coordinates of points D in order for ABCD to be a rectangle. So:
D can be found by reflecting A across the x axis:
So you just need to multiply the y-coordinate by -1, then:
[tex]D(x,y)=D(7,-1(-4))=D(7,4)[/tex]
Part 2:The length of AD can be found as the change in y from A to D:
[tex]\overline{AD}=4-(-4) \\ \\ \overline{AD}=8units[/tex]
Part 3.B can be found by reflecting A across the y-axisC can be found by rotating A 180 degrees about the originLearn more:Translation and reflection: https://brainly.com/question/12554274
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PLEASEEEE HELPPPPPPPPPPP
Answer:
The correct option is first graph.
Therefore,
The two points for the line y+5=-2(x-4) ( red color )line are
point A( x₁ , y₁) ≡ ( 0 , 3) .......Blue color
point B( x₂ , y₂) ≡ [tex](\dfrac{3}{2},0)[/tex] ............Green color
The Graph is attached below.
Step-by-step explanation:
Given:
[tex]y+5=-2(x-4)[/tex]
Which can also be written as
[tex]y=-2x+8-5\\y=-2x+3[/tex] .....Equation of line
Let the points be point A, and point B
To Find:
point A( x₁ , y₁) ≡ ?
point B( x₂ , y₂) ≡ ?
Solution:
For Drawing a graph we require minimum two points but we will have here three points.
For point A( x₁ , y₁)
Put x = 0 in the given equation we get
y = -2 × 0 +3
y =3
∴ y = 3
∴ point A( x₁ , y₁) ≡ ( 0 , 3)
For point B( x₂ , y₂)
Put y = 0 in the given equation we get
0 = -2x + 3
[tex]x=\dfrac{3}{2}[/tex]
∴ point B( x₂ , y₂) ≡ [tex](\dfrac{3}{2},0)[/tex]
Therefore,
The two points for the line y+5=-2(x-4) ( red color )line are
point A( x₁ , y₁) ≡ ( 0 , 3) .......Blue color
point B( x₂ , y₂) ≡ [tex](\dfrac{3}{2},0)[/tex] ............Green color
The Graph is attached below.
J erk (denoted by J) can be defined as a function of acceleration (denoted by a) and time (denoted by t) using this formula: J= a/t
Acceleration is measured in m/s² and time is measured in s
Select an appropriate measurement unit for j erk.
Units of J: [tex][\frac{m}{s^3}][/tex]
Step-by-step explanation:
The quantity defined in this problem is
[tex]J=\frac{a}{t}[/tex]
where:
a is the acceleration
t is the time
The units of the two quantities are:
a (acceleration) is measured in metres per second squared, [tex][\frac{m}{s^2}][/tex]
t (time) is measured in seconds, [tex][s][/tex]
Therefore, the quantity J is measured in:
[tex][J]=\frac{[\frac{m}{s^2}]}{[s^3]}=[\frac{m}{s^3}][/tex]
which is option B.
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Dexter rode his bike 9/10 Miles from his house to the store then he rode 4/10 miles his uncle house use the benchmark to estimate how far he rode his bike altogether
Final answer:
Dexter rode an estimated 1.3 miles altogether after traveling 9/10 miles to the store and then 4/10 miles to his uncle's house.
Explanation:
You are asking how far Dexter rode his bike altogether after he traveled 9/10 miles from his house to the store and then 4/10 miles to his uncle's house. To estimate the total distance Dexter rode, we need to add the two distances together.
The sum of 9/10 miles and 4/10 miles is:
9/10 miles + 4/10 miles = 13/10 miles
To make it easier to understand, 13/10 miles can be converted to 1 3/10 miles, which is the same as 1.3 miles as an estimate, considering 10/10 equals 1 full mile. Therefore, Dexter rode an estimated 1.3 miles altogether.
Donato is 6 feet 2 inches tall. His sister is 68 inches tall. Donato is how many inches taller.
After converting Donato's height to all inches (74 inches), we subtract his sister's height (68 inches) to find that Donato is 6 inches taller.
Explanation:The question asks us to compare the heights of Donato and his sister to find out how much taller Donato is. First, we need to convert Donato's height from feet and inches to just inches. There are 12 inches in a foot, so Donato's height in inches is 6 feet imes 12 inches/foot + 2 inches, which equals 74 inches. Donato's sister is 68 inches tall. To find the difference in height, we subtract the sister's height from Donato's: 74 inches - 68 inches = 6 inches. Therefore, Donato is 6 inches taller than his sister.
Last year Luis read 187 books. This year he read 224 books. Next year he wants to read 285 books. If Luis reaches his goal , how many books will Luis have read
Consider the following system of equations made up of Lines 1 and 2.
Line 1: 6x - 7y = 25
Line 2: 2x + 9y = -3
Select all that are true about the system.
3
(0.3) is a solution for Line 1 only
(0, 0) is a solution for Line 2 only.
1-6. 1) is a solution for Line 2 only.
13.-1) is a solution to the system
(3.1) is a solution to the system
Option c: (-6,1) is a solution for Line 2 only
Option d: (3,-1) is a solution to the system
Explanation:
Option a: (0,3) is a solution for Line 1 only
Line 1 is [tex]6 x-7 y=25[/tex]
Let us substitute the coordinate (0,3) in Line 1, we get,
[tex]\begin{array}{r}{6(0)-7(3)=25} \\{-21=25}\end{array}[/tex]
Since, both sides of the equation are not equal, the coordinate (0,3) cannot be a solution to Line 1.
Thus, Option a is not the correct answer.
Option b: (0,0) is a solution for Line 2 only.
Line 2 is [tex]2 x+9 y=-3[/tex]
Let us substitute the coordinate (0,0) in Line 2, we get,
[tex]\begin{array}{r}{2(0)+9(0)=-3} \\{0=-3}\end{array}[/tex]
Since, both sides of the equation are not equal, the coordinate (0,0) cannot be a solution to Line 2.
Thus, Option b is not the correct answer.
Option c: (-6,1) is a solution for line 2 only.
Line 2 is [tex]2 x+9 y=-3[/tex]
Let us substitute the coordinate (-6,1), in Line 2, we get,
[tex]\begin{array}{r}{2(-6)+9(1)=-3} \\{-12+9=-3} \\{-3=-3}\end{array}[/tex]
Since, both sides of the equation are equal, the coordinate (-6,1) is a solution for line 2 only.
Thus, Option c is the correct answer.
Option d: (3,-1) is a solution to the system
Let us substitute the coordinate (3,-1) in line 1 and line 2, we get,
In line 1, we have,
[tex]\begin{array}{r}{6(3)-7(-1)=25} \\{18+7=25} \\{25=25}\end{array}[/tex]
Substituting (3,-1) in line 2, we have,
[tex]\begin{array}{r}{2(3)+9(-1)=-3} \\{6-9=-3} \\{-3=-3}\end{array}[/tex]
Since, from line 1 and line 2, both sides of the equation are equal, the coordinate (3,-1) is a solution to the system.
Thus, Option d is the correct answer.
Option e: (3,1) is a solution to the system
Let us substitute the coordinate (3,1) in line 1 and line 2, we get,
In line 1, we have,
[tex]\begin{array}{r}{6(3)-7(1)=25} \\{18-7=25} \\{11=25}\end{array}[/tex]
Substituting (3,1) in line 2, we have,
[tex]\begin{array}{r}{2(3)+9(1)=-3} \\{6+9=-3} \\{15=-3}\end{array}[/tex]
Since, from line 1 and line 2, both sides of the equation are not equal, the coordinate (3,1) is a solution to the system.
Thus, Option e is not the correct answer.
Answer:
Option C: (-6,1) is a solution for Line 2 only
Option D: (3,-1) is a solution to the system
Step-by-step explanation:
Simplify the algebraic expression 7x^2 + 6x - 9x - 6x^2 + 15
Answer: x^2-3x+15
Step-by-step explanation:
Combine the like terms.
x^2 -3x+15
Answer:
x2 – 3x + 15 is the correct answer.
Step-by-step explanation:
The functions f(x)=−3/4x+2 and g(x)=(1/4)x+1 are shown in the graph. What are the solutions to −34x+2=(14)x+1? Select each correct answe
Answer:
The solution is x = 1 and y = 1.25.
Step-by-step explanation:
The solution to the graphs [tex]f(x) = -\frac{3}{4} x + 2[/tex] and [tex]g(x) = \frac{1}{4} x + 1[/tex]
Solving for x we get
[tex]-\frac{3}{4} x + 2 = \frac{1}{4} x + 1[/tex] [tex]\Rightarrow[/tex] x = 1 Therefore y = 1/4 + 1 = 1.25
1 and 0
I took the test and got it right
Greatest Common Factor (GCF)
1. 12a - 27
Answer:
3
Step-by-step explanation:
The factors of 12a are ...
2×2×3×a
The factors of 27 are ...
3×3×3
The only common factor is 3.
_____
12a -27 = 3(4a -9)
Final answer:
The Greatest Common Factor (GCF) of the expression 12a - 27 is 3, since 3 is the highest number that divides evenly into both 12 and 27 with no common variables present.
Explanation:
To find the Greatest Common Factor (GCF) of the expression 12a - 27, you look for the highest number and any variables that divide evenly into both terms. Note that 12 and 27 can both be divided by 3. Therefore, 3 is a common factor. Since there are no more common variables or higher factors, the GCF of 12a and 27 is simply 3.
To calculate the GCF, divide each term by 3:
12a ÷ 3 = 4a
27 ÷ 3 = 9
While the expression is factored as 3(4a - 9), the GCF is just the number 3.
3/8s of the students in Ms Mull’s class ride the bus. If there are 24 students in the class how many students ride the bus?
Answer:
9
Step-by-step explanation:
to work this out you would divide the class by the denominator and then multiply by the numerator.
24÷8=3
3×3=9
Which fractions are equivalent to 40%?
All of them except 8/100 because it results 0.08 or 8%.
The rest:
2/5 = 0.4 = 40%
8/20 = 0.4 = 40%
4/10 = 0.4 = 40%
16/40 = 0.4 = 40%
what things should be written in the conclusion of letter
Answer:
Your signature, and a nice 4-word goodbye
Step-by-step explanation:
Your signature so they know it was YOU who wrote it and a nice 4-word goodbye to show the other person that you care.
antarctica averages 2,400 meters in elevation. what is the average elevation of Antarctica in kilometers
Answer:
2.4 km
Step-by-step explanation:
The conversion factor is that 1 km = 1000 m. So to find km from m we need to divide the value in m by 1000:
2,400 ÷ 1000 = 2.4 km
Answer:
2.4 kilometers
Step-by-step explanation:
There are 1000 meters in 1 kilometer. So to convert from a smaller unit to a larger one you divide. So to calculate:
2400 m * [tex]\frac{1 km}{1000 m}[/tex] = 2.4 km
Use substitution to determine the solution of the system of equations.
y = −2x − 7
2y − x = 1
A. (−1,0)
B. (212,−28)
C. (−6,−52)
D. (−3,−1)
Answer:
Option D is correct
( -3, -1 )
Step-by-step explanation:
equation 1 is
y = -2x -7
and equation 2 is
2y - x = 1
so from 1 we have y = -2x - 7 put in 2
2 ( -2x - 7 ) -x = 1
-4x - 14 - x = 1
- 5x = 1 + 14
X = 15/-5
X= - 3
put in equation 1
Y = - 2 ( -3) - 7
Y= 6 - 7
Y = - 1
Solution of the given equations D.[tex]\boldsymbol{(-3,-1)}[/tex].
An equation is a mathematical expression that contains an equals symbol.
Given equations are as follows:
[tex]y=-2x-7[/tex]
[tex]2y-x=1[/tex]
Put value of [tex]\boldsymbol{y}[/tex] from the first equation to the second equation.
[tex]2(-2x-7)-x=1[/tex]
[tex]-4x-14-x=1[/tex]
[tex]-5x=15[/tex]
[tex]x=-3[/tex]
Now, put value of [tex]x[/tex] in the equation [tex]2y-x=1[/tex].
[tex]2y-(-3)=1[/tex]
[tex]2y=-2[/tex]
[tex]y=-1[/tex]
Option D. is correct.
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What’s the answer to sin 36/85
suppose that phil had decided to take out a private loan for $9,000 where loan payments start as soon as the loan amount is deposited in his student account and continue for 10 years.the interest rate is 8.1% what is the total amount he will pay back?
The total amount he will pay back=$16290
Step-by-step explanation:
Given, Phil had decided to take out a private loan for $9,000 where loan payment start as soon as the loan amount is deposited in his student account for 10 year. The interest rate is 8.1% .
P =$ 9,000 r = 8.1% and t = 10 years
Simple interest
Interest(I) [tex]= \frac{P\times r \times t}{100}[/tex]
[tex]=\$\frac{9000\times 8.1 \times 10}{100}[/tex]
[tex]=\$ 7290[/tex]
The total amount he will pay back =$(7290 + 9,000)=$16290
Final answer:
To calculate the total amount Phil will pay back on a $9,000 private loan with 8.1% interest over 10 years, multiply the principal by (1 + interest rate) raised to the number of years. The total amount paid back is $17,925.56.
Explanation:
To calculate the total amount Phil will pay back, we need to calculate the loan payments for 10 years. First, we can calculate the annual payment using the formula:
Annual Payment = Principal x (1 + Interest Rate)^Number of Years
Substituting in the values Principal = $9,000, Interest Rate = 8.1% (or 0.081), and Number of Years = 10, we have:
Annual Payment = $9,000 x (1 + 0.081)^10 = $9,000 x 1.991729 = $17,925.56
Therefore, the total amount Phil will pay back over 10 years is $17,925.56.
Alicia works 40 hours per week as a dental assistant. What is her monthly income? What is her yearly income?
Answer:
How could i answer without her pay rate ?
Step-by-step explanation:
Write an exponential function to model the following situation.
A population of 140,000 grows 5% per year for 16 years.
How much will the popluation be after 16 years?
Write an exponential function in terms of x.
y=
0
Write an exponential function in terms of x
Answer:
Part 1) The exponential function is [tex]y=140,000(1.05)^x[/tex]
Part 2) [tex]305,602\ people[/tex]
Step-by-step explanation:
Part 1) Write an exponential function
we know that
The exponential growth function is given by the formula
[tex]y=a(1+r)^x[/tex]
where
y is the population
x is the number of years
a is the initial population
r is the rate of change
we have
[tex]a=140,000\ people\\r=5\%=5/100=0.05[/tex]
substitute
[tex]y=140,000(1+0.05)^x[/tex]
[tex]y=140,000(1.05)^x[/tex]
Part 2) How much will the population be after 16 years?
For x=16 years
substitute the value of x in the exponential function
[tex]y=140,000(1.05)^{16}=305,602\ people[/tex]
An exponential function to model the population growth of 5% per year from an initial population of 140,000 after 16 years is y = 140,000(1 + 0.05)^x. After substituting x with 16, you calculate the growth and multiply by the initial population to find the population size after 16 years.
Explanation:To model the population growth in this scenario, we use an exponential growth function. The formula for exponential growth is y = P(1 + r)^t, where y is the final amount, P is the initial principal balance, r is the rate of interest, and t is the number of time periods the interest is applied. In this case, the population P is 140,000, the growth rate 'r' is 5% (or 0.05 when expressed as a decimal), and the number of years 't' is 16.
The exponential function in terms of 'x' (where 'x' represents the number of years) will be: y = 140,000(1 + 0.05)^x.
After plugging in 't' as 16 years, we calculate the population after 16 years as follows: y = 140,000(1 + 0.05)^16. Now we calculate the growth factor (1 + 0.05)^16 and multiply this by the initial population of 140,000 to determine the population after 16 years.
Marc was born on his grandmother’s 56th birthday. In how many years will Marcs grandmother be 5 times as Marc will be then?
Answer:
In 14 years Marc's grandmother will be 5 times as Marc will be then
Step-by-step explanation:
1. Information given to us to solve the problem:
Marc's age today = 0
Marc's grandmother age today = 56
2. In how many years will Marc's grandmother be 5 times as Marc will be then?
x = Number of years when Marc's grandmother age will be 5 times as Marc will be then
Let's solve for x, this way:
5 times Marc age in x years = Marc's grandmother age in x years
5 (0 + x) = 56 + x
5x = 56 + x
5x - x = 56 (Subtracting x at both sides)
4x = 56
x = 56/4
x = 14
Let's prove that x = 14 is correct:
5 (0 + 14) = 56 + 14
70 = 70
We proved that x = 14 is correct
In 14 years Marc's grandmother will be 5 times as Marc will be then
Find the diagonal of the rectangular solid with the given measures.
l = 2, w = 3, h = 6
√(46)
7
2√(10)
Answer:
7Step-by-step explanation:
Diagonal = [tex]\sqrt{2^{2} +3^{2}+6^{2} } =\sqrt{49} =7[/tex]
which point is a solution to the equation Y = 4x - 5
A. (-3,-17) B. (4,7) C. -2,-18) D. (3,17)
Answer:
A
Step-by-step explanation:
To determine which point is a solution, substitute the x- coordinate into the equation and if the value obtained agrees with the y- coordinate of the point then it is a solution.
A (- 3, - 17)
y = 4(- 3) - 5 = - 12 - 5 = - 17 ← (- 3, - 17) is a solution
B (4, 7)
y = 4(4) - 5 = 16 - 5 = 11 ≠ 7 ← not a solution
C (- 2, - 18)
y = 4(- 2) - 5 = - 8 - 5 = - 13 ≠ - 18 ← not a solution
D (3, 17)
y = 4(3) - 5 = 12 - 5 = 7 ≠ 17 ← not a solution
(–5, –6) a solution to this system of e
quations? 12x − 8y = –12 7x − 6y = 1
im lost >.< may i haz help?
Answer:
see below
Step-by-step explanation:
A left-arrow on a number line represents subtraction of a positive number or addition of a negative number. The two left arrows, one of length 0.2, the other of length 0.1, indicate the numbers -0.2 and -0.1 are being added. The end result is the dot at the end of the combined arrows, at -0.3.
The only expression that is true and corresponds to this description is the one shown below.
Hadley has 3/6 of a box of white envelopes and 1/3 of a box of gray envelopes. When full, each box of envelopes has the same number of envelopes. Hadley said she has 4/9 of a box when she puts the white envelopes and gray envelopes together. Which statements describe this situation? Select the two statements that apply.
A. Hadley’s answer is incorrect, because 3/6 is equal to 1/2 , and 4/9 is less then 1/2 .
B. Hadley's answer is incorrect, because 3/6 plus 1/3 equals 5/6.
C. Hadley's answer is incorrect, because 3/6 plus 1/3 equals 2/6 .
D. Hadley's answer is correct, because 3 and 1 is 4, and 6 and 3 is 9.
PLS HELP I WILL MARK BRAINLIST IF CORRECT !! :) SELECT 2 ANSWERS !!
Answer:
The two statements that apply are A and B.
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
White envelopes Hadley has = 3/6 of a box
Gray envelopes Hadley has = 1/3 of a box
When full, each box of envelopes has the same number of envelopes
Hadley said she has 4/9 of a box when she puts the white envelopes and gray envelopes together.
2. Which statements describe this situation? Select the two statements that apply.
Let's add 3/6 and 1/3
3/6 + 1/3 = 3/6 + 2/6 = 5/6
A. Hadley’s answer is incorrect, because 3/6 is equal to 1/2 , and 4/9 is less then 1/2 . This is correct.
B. Hadley's answer is incorrect, because 3/6 plus 1/3 equals 5/6. This is correct.
C. Hadley's answer is incorrect, because 3/6 plus 1/3 equals 2/6. This is wrong
D. Hadley's answer is correct, because 3 and 1 is 4, and 6 and 3 is 9. This is wrong.
The two statements that apply are A and B.
Answer: Answer:
The two statements that apply are A and B.
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
White envelopes Hadley has = 3/6 of a box
Gray envelopes Hadley has = 1/3 of a box
When full, each box of envelopes has the same number of envelopes
Hadley said she has 4/9 of a box when she puts the white envelopes and gray envelopes together.
2. Which statements describe this situation? Select the two statements that apply.
Let's add 3/6 and 1/3
3/6 + 1/3 = 3/6 + 2/6 = 5/6
A. Hadley’s answer is incorrect, because 3/6 is equal to 1/2 , and 4/9 is less then 1/2 . This is correct.
B. Hadley's answer is incorrect, because 3/6 plus 1/3 equals 5/6. This is correct.
C. Hadley's answer is incorrect, because 3/6 plus 1/3 equals 2/6. This is wrong
D. Hadley's answer is correct, because 3 and 1 is 4, and 6 and 3 is 9. This is wrong.
Step-by-step explanation: A B