(2n - 9) - 5(-2.4n + 4) use distributive property
= 2n - 9 + (-5)(-2.4n) + (-5)(4) = 2n - 9 + 12n - 20 combine like terms
= (2n + 12n) + (-9 - 20) = 14n - 29
Hello!
Explanation:
↓↓↓↓↓↓↓↓↓↓↓
[tex](2n-9)-5(-2.4n+4)[/tex]
First, remove parenthesis.
[tex]2n-9-5(-2.4n+4)\\[/tex]
Secondly, expand.
[tex]-5(-2.4n+4):12n-20[/tex]
Third, apply the distributive law.
[tex]a=-5, b=-2.4n, c=4[/tex]
[tex]=-5(-2.4n)+(-5)*4[/tex]
Then, apply minus-plus rules.
[tex]5*2.4n-5*4[/tex]
Simplify.
[tex]5*2.4n-5*4:12n-20[/tex]
Multiply by the numbers.
[tex]5*2.4=12[/tex]
[tex]12n-5*4[/tex]
Again, multiply by the numbers.
[tex]5*4=20[/tex]
[tex]12n-20[/tex]
[tex]=2n-9+12n-20[/tex]
Simplify.
[tex]2n-9+12n-20:14n-29[/tex]
Group like terms.
↓↓↓↓↓↓↓↓↓↓↓
[tex]=2n+12n-9-20[/tex]
Add similar elements.
[tex]2n+12n=14n[/tex]
[tex]=14n-9-20[/tex]
Subtract by the numbers.
[tex]-9-20=-29[/tex]
[tex]=14n-29[/tex]
Answer⇒⇒⇒[tex]=14n-29[/tex]
Hope this helps!
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-Charlie
To estimate the product 3.48 times 7.33,Marisa multiplied 4 times 8 to get 32.Exsplain how she can make a closer estimate
Marisa had rounded 3.48 to 4 and times it to 7.33 which she rounded to 8
In fact 3.48 is closer to 3 we know this since the .48 of 3.48 s below .50 if it was .50 or above it would round to 4 but it doesn't the same applies to 7.33 so
it should be 3 x 7 = 21
If Marisa is going to estimate, then she needs to round each number. If she rounds to the nearest ones place, then she should have rounded 3.48 to 3 and rounded 7.33 to 7.
3 x 7 = 21
if the sum of two numbers is 21 and their quotient is 2 what are they?
Set up the equations:
two numbers: a and b
sum: a+b=21
quotient: a/b=2
(the last one means b=a/2)
combine them:
a+a/2=3a/2=21
a=14
and so
b=7
the two numbers are 14 and 7
Final answer:
To find two numbers given their sum and quotient, set up and solve a system of equations. In this case, the numbers are 14 and 7.
Explanation:
The sum of two numbers is 21 and their quotient is 2. To find the two numbers, we can set up a system of equations:
Let the two numbers be x and y. We have the equations x + y = 21 and x/y = 2.
Solve the system by substituting y = 21 - x into the second equation to get x = 14 and y = 7.
Therefore, the two numbers are 14 and 7.
What is the blank for 3.441 <>= 3.409
) because its biggerrrrrr
which monomial has the highest degree
The degree of a monomial is the highest power of a variable.
For A, the highest power is 5 ( a^5)
For B, the highest is 6 (a^6)
For C, the highest is 4 ( both a^4 and b^4)
For D, the highest is 2 ( all 3 variables have ^2)
B has the highest degree.
Answer:
B
Step-by-step explanation:
the length of a rectangle is 5 cm more than its width and the area is 50cm2 find the legth, width, and the perimeter
Let the Width be x cm
Then the length which is 5cm more than width must be (x+5) cm
Using the formula for the area = length* width
x(x+5) =50
[tex]x^2+5x =50[/tex] (Distribute x on the parenthesis )
[tex]x^2+5x-50 =0[/tex] (subtract 50 )
[tex](x+10) (x-5) =0[/tex] (Factor)
[tex]x-5=0\\x+10=0[/tex]
we get
[tex]x=5[/tex] (Not x=-10 because negative side length not possible)
Width = 5 cm
Length = 5+5= 10 cm
Perimeter = 2(Length + width)
So
Perimeter = 2(10+5)
Perimeter = 2*15=30 cm
the length of a rectangle is 5 cm more than its width and the area is 50cm2 find the length, width, and the perimeter
L = W + 5 (5 cm more than its width)
Area = W * L
Substitute Area = 50 and L = W + 5
50 = W ( W+5)
Distributive property
50 = W^2 + 5W
Subtract 50 from both sides
0 = W^2 + 5W - 50
Re-write
W^2 + 5W - 50 = 0
Factor
(W + 10)(W - 5) = 0
W + 10 = 0; W = -10
W - 5 = 0; W = 5
Dimension cannot be negative so W = 5 cm
L = 5 + 5 = 10 cm
Double check: A = 5 x 10 = 50 cm^2
Perimeter = 2(L + W)
Perimeter = 2(5 + 10)
Perimeter = 2(15)
Perimeter = 30 cm
Answer
L = 10 cm
W = 5 cm
P = 30 cm
Hope that helps
Please help!! Worth 20 points!
paula has 6 video games. myles has 1 more video game than paula. what could you use to find how many video games in all?
13, paula has 6, myles has 1 more than her that mean he has 7
6+7= 13
Answer:
13
Step-by-step explanation:
We know that Paula has 6 video games and Myles has one more video game than Paula.
So the number of video games Myles has will be equal to 6 + 1 = 7.
Now that we know the number of games that Paula and Myles have, we can find the number of video games in all by simply adding the two numbers:
Total number of video games = 6 + 7 = 13
Therefore, Paula and Myles together have 13 video games.
Find three consecutive odd integers such that the sum of the smaller two is three times the largest increased by seven
three consecutive odd integers are : -17,-15,-13
Each of 25 students in Group A read for 45 minutes. Each of 21 students in Group B read for 48 minutes. Which group read for more minutes? Explain.
Please help me with this
Calculate the number of ways in which four paintings can be awarded first, second, third, and fourth prizes at an art competition in which a total of 30 paintings are displayed
Answer:
657720 ways
Step-by-step explanation:
This is the number pf permutations of 4 from 30:-
= 30! / (30 - 4)!
= 30! / 26!
= 30*29*28*27
A boy jogs 250 meters in 110 seconds. What is his average speed in m/s?
Answer:
2.72 m/s
Step-by-step explanation:
We are given that
Boy jogs=250 meters
Time taken by boy=110 seconds
We have to find the average speed in m/s
In order to find the average speed then we will divide distance by time
[tex]Average\;Speed=\frac{distance}{time}[/tex]
Using the formula then we get
Average speed=[tex]\frac{250}{110}=2.72 m/s[/tex]
Hence, the average speed=2.72 m/s
Final answer:
To calculate the average speed, the boy's distance jogged (250 meters) is divided by the time taken (110 seconds), yielding an average speed of 2.27 m/s.
Explanation:
The student's question asks how to calculate the average speed of a boy who jogs a certain distance in a given amount of time. To find the average speed, you divide the total distance traveled by the total time taken. In this case, the boy jogs 250 meters in 110 seconds.
The calculation for the average speed (v) would be:
Distance (d) = 250 meters
Time (t) = 110 seconds
Average Speed (v) = d / t
Plugging the values into the equation yields:
Average Speed (v) = 250 m / 110 s = 2.27 m/s
Hence, the boy's average speed is 2.27 meters per second.
Sally consumed 2.5 gallons of water in one day. How many milliliters are equal to 2.5 gallons, if 1 liter = 1,000 milliliters and 1 gallon = 3.785 liters?
there are 9463.53 milliliters in 2.5 gallons of water.
Answer:
9,462,5 milimiters.
Step-by-step explanation:
In order to be able to calculate how many milimeters there are in 2.5 gallons of water we just have to convert the units, so we first have to convert from gallons to liters, there are 3.785 liters in each gallon, so we just do the convertion:
[tex]\frac{1 gallon}{3.785 liters}=\frac{2.5 gallons}{x}[/tex]
If we clear the x we get:
[tex]x=\frac{(3.785 liters)(2.5gallons)}{1 gallon}[/tex]
[tex]x=\frac{(9.4625 liters*gallons)}{1 gallon}[/tex]
[tex]x=9.4625 liters[/tex]
Now we just ocnvert to mililiters, since there are 1000 mililiters in a liter we just multiply:
[tex]\frac{1 liter}{1000mililiter}=\frac{9.462liters}{x}[/tex]
[tex]x=\frac{(9.4625 liters)(1000mililiter)}{1 liter}[/tex]
[tex]x=9462.5 mililiters}[/tex]
What error did Raj make?
Answer: the answer this b
Step-by-step explanation:
Bc I said so lol
compare the ratios 2 to 7 and 5:7 using the circles to model
To compare the ratios 2 to 7 and 5:7 using the circles to model we need to make two circles first.
Then we need to make 7 parts of each circle.
For 2:7 ratio, we need to shade 2 parts of the total 7 parts of the circle.
For 5:7 ratio, we need to shade 5 parts of the total 7 parts of the circle.
So, the first circle represents 2:7 ratio and second circle represents 5:7 ratio.
Answer:
To compare the ratios 2 to 7 and 5:7 using the circles to model we need to make two circles first.
Then we need to make 7 parts of each circle.
For 2:7 ratio, we need to shade 2 parts of the total 7 parts of the circle.
For 5:7 ratio, we need to shade 5 parts of the total 7 parts of the circle.
So, the first circle represents 2:7 ratio and second circle represents 5:7 ratio.
Step-by-step explanation:
4 divided by 3,476........i need help pls!
the answer is 869. hope you pass!
Name the property of equality that justifies this statement if RS=ST and ST=TU then RS=TU
Thanks
Answer:
This is called Transitive property of equality.
Step-by-step explanation:
If a quantity a=b and b=c, then we can say a=c, this property is called transitive property of equality.
Which relation is a function?
{(5, 0), (0, –8), (5, –5)}
{(5, 0), (0, 5), (–5, –5)}
{5, 0, –8, –5}
{(5, 0), (–8, –5), (–8, 5), (–5, –8)}
Based on the analysis, the only relation that is a function is {(5, 0), (0, 5), (–5, –5)}.
How to determine Which relation is a function?A relation is considered a function if each input value (x-value) in the relation corresponds to exactly one output value (y-value).
1. {(5, 0), (0, –8), (5, –5)}
In this relation, the input value 5 corresponds to both 0 and -5. Therefore, this relation is not a function.
2. {(5, 0), (0, 5), (–5, –5)}
In this relation, each input value has a unique output value. For example, 5 corresponds to 0, 0 corresponds to 5, and -5 corresponds to -5. This relation satisfies the definition of a function since each input value has only one corresponding output value.
3. {5, 0, –8, –5}
This is not a relation since it consists only of individual numbers and does not show any pairings between input and output values. Therefore, it is not a function.
4. {(5, 0), (–8, –5), (–8, 5), (–5, –8)}
In this relation, the input value -8 corresponds to both -5 and 5. Therefore, this relation is not a function.
Based on the analysis, the only relation that is a function is {(5, 0), (0, 5), (–5, –5)}.
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Final answer:
The relation {(5, 0), (0, 5), (–5, –5)} is a function because each domain value maps to exactly one range value, which meets the definition of a function.
Explanation:
To determine which relation is a function, we must ensure that each input (or domain value) maps to exactly one output (or range value). A function cannot have one domain value paired with multiple range values.
Relation 1: {(5, 0), (0, –8), (5, –5)} is not a function because the domain value 5 is associated with two different range values (0 and –5).Relation 2: {(5, 0), (0, 5), (–5, –5)} is a function because each domain value is unique and maps to exactly one range value.Relation 3: {5, 0, –8, –5} is not a relation in the form of ordered pairs, so it cannot be considered a function.Relation 4: {(5, 0), (–8, –5), (–8, 5), (–5, –8)} is not a function because the domain value –8 has two different range values (–5 and 5).Therefore, the relation that is a function is the second one: {(5, 0), (0, 5), (–5, –5)}.
Why is it good to have holes in your t-shirts
Answer:
They make it easier to get your arms through
What is the greatest common factor between 10 and 24?
The greatest common factor between 10 and 24 is 2.
What is Greatest common factors?
The highest number that divides exactly into two more numbers, is called Greatest common factors.
Given that;
The numbers are;
10 and 24
Now,
The factors of 10 = 1, 2, 5, 10
The factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24.
Clearly, The greatest common factor of the number 10 and 24 is highest number which is common in both factors.
Thus, The greatest common factor between 10 and 24 is 2.
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Ally made a net to find the surface area of a box she was designing. The box measure 12 centimeters long by 9 centimeters high by 9 centimeters deep. What is the surface area, in square centimeters, of the box?
Final answer:
Ally's box has a total surface area of 594 square centimeters, calculated using the surface area formula for a rectangular prism: Surface Area = 2lw + 2lh + 2wh.
Explanation:
The surface area of a box can be calculated by finding the area of all six faces and adding them together. Since the box Ally is designing has dimensions of 12 cm long, 9 cm high, and 9 cm deep, we will have two faces for each dimension. To calculate the surface area of Ally's box, we use the formula:
Surface Area = 2lw + 2lh + 2wh
Where l is the length, w is the width, and h is the height of the box. Now, plugging in Ally's box dimensions:
Surface Area = 2(12 cm)(9 cm) + 2(12 cm)(9 cm) + 2(9 cm)(9 cm)
Surface Area = 2(108 cm2) + 2(108 cm2) + 2(81 cm2)
Surface Area = 216 cm2 + 216 cm2 + 162 cm2
Surface Area = 594 cm2
Therefore, the total surface area of Ally's box is 594 square centimeters.
help me out please!
Solve for z.
[tex]\dfrac{8(4-z)}{7}=-z\\\\8(4-z)=-7z\\\\32-8z=-7z\\\\-7z+8z=32\\\\z=32[/tex]
8(4 - z)/ 7 = -z
8(4 - z) = -7z
32 - 8z = -7z
-8z + 7z = -32
-z = -32
z = 32
Christy went on a round-trip bicycle ride starting at her house. When she left, she traveled downhill at a rate of 24 kilometers per hour (kph). She rested for 30 minutes, and then returned to her house. Since the return trip was partly uphill, it took half an hour longer and Christy averaged only 20 kph. How long did the return trip take?
Answer:
The return trip took 3 hours.
Step-by-step explanation:
Suppose, the time required to travel downhill is [tex]t[/tex] hours.
Since the return trip was partly uphill, it took half an hour longer. So, the time required for the return trip will be: [tex](t+0.5)[/tex] hours.
Given that, the speed for travelling downhill was 24 kph and the speed for travelling uphill was 20 kph.
We know that, [tex]Distance= speed*time[/tex]
As, the distances traveled in both trips are equal, so the equation will be........
[tex]24t=20(t+0.5)\\ \\ 24t=20t+10\\ \\ 4t=10\\ \\ t=\frac{10}{4}= 2.5[/tex]
So, the time required for the return trip will be: [tex](2.5+0.5)= 3[/tex] hours.
Answer:
It took 3 hours to return home.
Step-by-step explanation:
1 hour for travelling downhill.30 minutes rest.1 hour and 30 minutes for travelling uphill.Total time taken = 1 hour + 30 minutes + 1 hour and 30 minutes = 3 hours total.Ben solved an equation as shown below, Equation 2 (-3×+1)=9×-8. what did he do wrong. step1. -6×+2=9×- 8. step2. -6×+9×=-8+2. step3. 3x=-6. step4. x=-2
failed to evaluate 9 × - 8
2( - 3x + 1) = 9 × - 8
- 6x + 2 = - 72 ( subtract 2 from both sides )
- 6x = - 74 ( divide both sides by - 6 )
x = [tex]\frac{-74}{-6}[/tex] = [tex]\frac{37}{3}[/tex]
Solve the following proportion (solve p) p/6=7/8
Answer is: p = [tex]\frac{21}{4}[/tex]
marcela's dog gained 4.1 kilograms in two months. Two months ago, the dog's mass was 5.6 kilograms. What is the dog's current mass?
PLEASE HELP ME WITH B AND C.
B)The numbers are being divided by 10 repeatedly.
The numbers are:
7000
700
70
.7
.07
.007
(See it now?)
The number that is missing is 7
My conjecture is that 7 can’t be written in scientific notation.
Hope I helped!
Good Luck!
⛈
What is the product of 3 × 50 × 18 × 2?
A. 2,700 B. 540 C. 1,800 D. 5,400
The answer is D because when you insert it into a calculator it gives you D. Yet, if you do it manually you still get the same number .
Answer:
The answer is D
Step-by-step explanation:
Hope I helped!! :)
the diameter of a circle is 12yd. find the exact area and circumference of the circle. write your answers in terms of pie
The exact circumference of the Circle Measurements is 12π yards and the exact area is 36π square yards.
To find the exact area and circumference of the circle, we can use the formulas given:
Circumference of a circle = 2πr
Area of a circle = πr^2
Given that the diameter of the circle is 12 yards, we can find the radius by dividing the diameter by 2: r = 12 / 2 = 6 yards.
Now we can substitute the value of r into the formulas:
Circumference = 2πr = 2π(6) = 12π yards
Area = πr^2 = π(6^2) = 36π square yards
So, the exact circumference of the circle is 12π yards and the exact area is 36π square yards.
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x^2-4y^2=0
A.(x+4y)(x-y)
B. (x-4y)(x+y)
C. (x+2y)(x-2y)
D. (x-2y)(x-2y)
[tex]x^{2}[/tex]-4[tex]y^{2}[/tex] = 0
Solution
Here we have to find the factors.
[tex]x^{2} - 4y^{2} = 0[/tex]
Here we can write 4y^2 as (2y)^2
[tex]x^{2} - (2y)^{2} = 0[/tex]
Now we have to use the formula, a^2 - b^2 = (a + b)(a - b)
Here a = x and b = 2y
Therefore, we get
(x + 2y)(x -2y)
Hence, the answer isC. (x + 2y)(x -2y)