Answer:
C.
D.
E.
Step-by-step explanation:
The two options that yield the same value for 'x' as the equation 'Three-fifths (30 x minus 15) = 72' are '3 (6 x minus 3) = 72' and 'x = 4.5'. The confusion can be eliminated by simply breaking down and solving the initial equation for 'x', and then substituting the calculated value for 'x' into the optional equations.
Explanation:To discover which options yield the same value as 'Three-fifths (30 x minus 15) = 72', we first need to solve the given equation for 'x'. This can be done as follows:
Multiply both sides by 5/3 to get rid of the 3/5 in front of the bracket: (30 x minus 15) = 120,Add 15 to both sides to isolate 30x on the left side: 30x = 135,Finally, divide by 30: x = 4.5.Substitute x = 4.5 into each option:
For '18 x minus 15 = 72', 18(4.5) - 15 isn’t equal to 72, so this is not correct.For '50 x minus 25 = 72', 50(4.5) - 25 isn’t equal to 72, so this isn’t correct as well.For '18 x minus 9 = 72', 18(4.5) - 9 isn’t equal to 72 either, hence, it is also incorrect.For '3 (6 x minus 3) = 72', 3(6*4.5 - 3) equals to 72, so this is correct.For 'x = 4.5', this is obviously correct as it matches our calculated value.Therefore, '3 (6 x minus 3) = 72' and 'x = 4.5' provide the same value for x as the initial equation 'Three-fifths (30 x minus 15) = 72'.
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A group of 5 families at Baileys Middle School sold magazine subscriptions to raise money for the school. $6.00, $7.00, $4.00, $5.00, $3.00 What was the median amount of money raised?
Answer:
The median amount of money raised is $5.00
Step-by-step explanation:
To find the median amount of money raised, we will follow the steps below:
First, arrange the data giving in ascending order. That is
$6.00, $7.00, $4.00, $5.00, $3.00
We will arrange it in ascending order, hence
$3.00, $4.00, $5.00, $6.00, $7.00
The median is the middle number, we will now proceed to take the middle number.
The middle number is $5.00
Therefore, the median amount of money raised is $5.00
The median amount of money raised by the 5 families is $5.00.
To find the median amount of money raised by the 5 families, we first need to arrange the amounts in ascending order:
$3.00$4.00$5.00$6.00$7.00The median is the middle number in a sorted, ascending or descending, list of numbers. Since there are 5 numbers, the median is the third number in this ordered list. Therefore, the median amount of money raised is $5.00.
what is 1+1 plus 2 divided by 35 added by 6 subtracted by 30
Answer:
-23.8857
Step-by-step explanation:
1+1+2= 4
4/35+6= 6.11429
6.11429-30= -23.8857
What is 60% of 60 minutes?
Answer:
36 minutes
Step-by-step explanation:
60(.6)= 36
Lenny can choose between apple juice, orange juice, and fruit punch. She can order a small, medium, and large. If she chooses a drink at random, what is the probability she chooses a medium orange juice?
Answer:
1/9 chance
Step-by-step explanation:
3 options and 3 choices probability of picking orange juice is 1/3 chance and probability of pickinkg a medium is 1/3 chance so you multiply dem to get 1/9
What is a segment with its endpoints on the planes of
the bases that is perpendicular to the planes
of the bases?
Answer:
Altitude of a Cylinder
Step-by-step explanation:
Altitude of a Cylinder can be seen as a form of segment between the plane of a base to the plane of another base in which the height of the cylinder can be said to also be the length of the altitude meaning both the height and the length of the cylinder can be said to be equal which is why the axis of a cylinder is the segment which contains the centers of the two bases.
ALTITUDE OF A CYLINDER can also be seen as the distance between the bases of a cylinder which is the shortest line segment that occur between the possibly extended bases which is why ALTITUDE OF A BASE is a segment with its endpoints on the planes of
the bases that is perpendicular to the planes
of the bases.
Thiago and Yasmine each bought the same microwave.
Thiago used the 20% off coupon and paid $100.
Yasmine used the $20 off coupon.
How much did she pay?
Answer:
$105
Step-by-step explanation:
20% of $125 = $100
so the original price is $125
Answer:$100
Step-by-step explanation:
if they both used the 20% off coupon for the same microwave which is the same price without the coupon then with the coupon it would also be the same price
When Belinda asked him to what pages his book was opened, he replied that the product of the facing pages was 87,912. To what pages did Theo open his textbook?
Final answer:
To determine the page numbers, the product of two consecutive page numbers (n and n+1) was calculated to match 87,912, leading to the solution that Theo's textbook was opened to pages 296 and 297.
Explanation:
To find out to which pages Theo opened his textbook, when the product of the facing pages was 87,912, we should realize that facing pages in books have consecutive numbers. Therefore, if one page is n, the facing page would be n+1. The product of these two pages is n(n+1)= 87,912. We are solving a quadratic equation here.
Starting with an approximation, square roots of numbers near 87,912 can help identify potential page numbers. The square root of 87,912 is a bit less than 300 (since 300² = 90,000). Therefore, one of the page numbers will be just under 300, and the other just above.
Attempting a few calculations, we notice that 296² = 87,616 and 297² = 88,209. Between these two, 296 × 297 = 87,912, giving us the page numbers Theo's book is open to: 296 and 297.
In 1906 Americans consumed an average of 26.85 gallons of whole milk per year. By 1998 the average consumption was 8.32 gallons. What is the percent decrease in consumption of whole milk?
Answer: 69.01%
Step-by-step explanation:
In 1906 Americans consumed an average of 26.85 gallons of milk per year while by 1998 the average consumption was 8.32 gallons.
To get the percent decrease in consumption of whole milk goes thus:
We first find the amount of decrease in the milk consumed. This will be:
= 26.85 - 8.32
= 18.53
Percentage decrease
= 18.53/26.85 × 100
= 0.6901 × 100
= 69.01%
Can anybody find the measure of the major arc ILK?
click on image for full picture
IL is a diameter, which is a straight line, which is equal to 180 degrees.
The arc of IL would be 180 degrees
You are told the arc of KL is 30 degrees.
The major arc of ILK would be 180 + 30 = 210 degrees.
Evaluate each expression.
6! =
3! • 2! =
6!/3! =
Answer:
6! = 6*5*4*3*2*1 = 30*12*2 = 30*24 = 720
3! * 2! = 3*2*1 * 2*1 = 6*2 = 12
6! / 3! = 720 / 12 = 60
Step-by-step explanation:
6! = 6*5*4*3*2*1 = 30*12*2 = 30*24 = 720
3! * 2! = 3*2*1 * 2*1 = 6*2 = 12
6! / 3! = 720 / 12 = 60
The value of the expression will be 6! = 720, 3! • 2! = 12, and 6! / 3! = 120.
What is the factorial of n?The factor of n is given as the production of the number n, (n - 1), (n - 2), ..., and 1. Then the factorial of n is given as
n! = n x (n - 1) x (n - 2) x ... 3 x 2 x 1
The expressions are
6! = 6 x 5 x 4 x 3 x 2 x 1
6! = 720
3! • 2! = 3 x 2 x 1 x 2 x 1
3! • 2! = 6 x 2
3! • 2! = 12
6! / 3! = 720 / 6
6! / 3! = 120
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find a word that has a value of 18
Answer:
Overcapitalization
Step-by-step explanation:
A recipe requires ¾ cup of nuts for 1 batch of muffins. Write the number of batches of muffins that can be made using 7 ½ cups of nuts.
Answer:
10 batches
Step-by-step explanation:
3/4 cups = 1 muffins
15/2 cups = x muffins
For x muffins,
3/4 × X = 15/2 × 1
3x × 2 = 15×4
6x = 60
Divide both sides by 6
6x/6 = 60/6
X = 10
Hence 10 batches of muffins will be made from 15/2 cups of nuts.
8x-2y=6 and 3x+3y=-24
Answer:y= -8 -x
Step-by-step explanation:
A snack stand sold hot dogs and chips at a recent game. The hot dogs cost $2.50 and the snacks cost $0.75. After the game, they tallied 175 transactions totaling $262.50.
Represent the linear system in an augmented matrix:
ANSWER IS
[ 1 ] [ 1 ] [ 75 ]
[ 2.5 ] [ 0.75 ] [ 262.5 ]
Answer:
[1] [1] [175]
[2.5] [0.75] [262.5]
# of hotdogs sold was 75
# of chips sold was 100
Step-by-step explanation:
got it right on edge ya digg
The number of hot dogs is 75 while the number of snacks is 100.
The linear equation to solve the question will be:
h + s = 175 ........ i
2.50h + 0.75s = 262.50 ........ ii
From equation i, s = 175 - h ..... iii
Put equation iii into ii
2.50h + 0.75s = 262.50
2.50h + 0.75(175 - h) = 262.50
2.50h + 131.25 - 0.75h = 262.50
Collect like terms
2.50h - 0.75h = 262.50 - 131.25
1.75h = 131.25
h = 131.25/1.75
h = 75
The number of hot dogs is 75 while the number of snacks is 100.
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Please help with this math
Answer:
I believe it’s C
Step-by-step explanation:
let me know if right if am mark brainliest pls
Need help finding the answer
Answer: x=2
Use math-way and put 3x+4/6x-2=9/9
4. A class has 12 boys and 15 girls. The teacher randomly picks one child to lead
the class in singing.
What is the probability that the teacher picks a boy?
Answer:4/9
Step-by-step explanation:
12/27 simplified is 4/9
(12 is for the boys 27 is the number of students)
David loves his dog Thor and he wants to create a rectangular enclosure that has an area of 1600ft² for the dog to stay in while no one is home. David has a total of 120 feet of fencing available and he wants to use the wall of his garage as one of the sides of the enclosure. What are the dimensions of the enclosure?
Make a Sketch of the rectangular enclosure and label the sides using variable(s).
Write and solve an equation(s) that model this situation.
What are the dimensions of the rectangular enclosure?
Answer:
80 feet by 20 feet
Step-by-step explanation:
Area of the rectangular enclosure = 1600ft²
Area, lw=1600
w=1600/l
Perimeter, 2w+l=120 feet
Substituting w=1600/l into the perimeter
2(1600/l)+l=120
3200/l+l=120
[tex]\dfrac{3200+l^2}{l}=120\\ 3200+l^2=120l\\l^2-120l+3200=0\\l^2-40l-80l+3200=0\\l(l-40)-80(l-40)=0\\(l-40)(l-80)=0\\l-40=0\:or\:l-80=0\\l=40\:or\:l=80[/tex]
When l=40, w=1600/40=40 feet
When l=80, w=1600/80=20 feet
Since the enclosure is rectangular, the acceptable dimensions are:
Length =80 feet
Width =20 feet
9 m
11 m
16 m
4 m
Find the area of this figure.
Answer:
Can u send picture with it pls so i can figure it out?
What are the two shapes
Step-by-step explanation:
rectangle: length times width
triangle: base times height divided by 2
parallelgram: Base times height
square: side times side
*If you get it right then follow me on roblox: Supertasticgg
and sub to Flamingo
ANd almost forgot trapezoid: base 1 + base 2 times by height then divide with 2
What are the solutions to the quadratic equation (5y+6)2=24?
Answer:
You chose the right answer
y = [ -6 + 2 root(6)]/5 or y = [-6 - 2 root(6)]/5
Step-by-step explanation:
from (5y + 6)^2 = 24
we can take the square root of both sides
(5y + 6) = + root(24) or (5y + 6) = -root(24)
5y + 6 = 2*root(6) or 5y + 6 = - 2 root(6)
y = [ -6 + 2 root(6)]/5 or y = [-6 - 2 root(6)]/5
Answer:
a
Step-by-step explanation:test on e
What is the common denominator of StartFraction 1 Over a EndFraction + StartFraction 1 Over b EndFraction in the complex fraction StartFraction 1 Over a EndFraction minus StartFraction 1 Over b EndFraction divided by StartFraction 1 Over a EndFraction + 1 Over b EndFraction?
a2 b2
a – b
a + b
ab
Answer:
ab
Step-by-step explanation:
Answer:
Option D : ab
Step-by-step explanation:
correct on e2020
Easy Question
Topic: Volume
Focus on question 10
Answer:
a 120 cm^3
b 70 cm^3
Step-by-step explanation:
The volume of a right rectangular prism is given by
V = l*w*h
10 a V = 12*2*5
=120 cm^3
10 b V = 2.5 *8 *3.5
=70 cm^3
Answer:
120 cm^3;70 cm^3
Step-by-step explanation:
Volume = l * w * h
That means...
a) Volume = 12cm * 2cm * 5cm = 120 cm^3
b) Volume = 2.5cm * 8cm * 3.5cm = 70 cm^3
Elan surveyed a random sample of 65 students at his high school. He asked them which subject is their first class on Mondays. There are 894
students in his school.
First Class Percent of Students
English
17%
Math
28%
History
40%
Science
15%
Choose two inferences that can be made from the results.
O A. Approximately 17% of all students in the city have English first on Mondays.
B. Approximately 28% of the students at Elan's school have Math first on Mondays.
C. Approximately 40% of the students at Elan's school do not have History first on Mondays.
OD. Approximately 85% of the students at Elan's school do not have Science first on Mondays.
Answer:
B and D are correct
Step-by-step explanation:
A isn't correct because the survey wasn't out of students in the city, it was out of people attending Elan's school.
B is correct because the survey said 28% of students at Elan's school have math first on mondays.
C isn't correct because the survey said the exact opposite.
D is correct because only 15% of students at Elan's school have science first on mondays
Answer:
B and D
TRUST ME
Step-by-step explanation:
The amount of aluminum varies inversely as the amount of tin. When there are 600 grams of aluminum there are 40 grams of tin. How many grams of aluminum will there be if there is 120 grams of tin
Answer:
There will be 200g of aluminium.
Step-by-step explanation:
We use a rule of three to solve this question.
However, the relationship between the variables are inverse, which means that we use an inverse rule of three. This means that we are going to multiply the values laterally, instead of diagonally(cross multiplication).
We have these following relationships:
600g aluminum - 40g tim
xg aluminium - 120g tin
Multiplying laterally:
[tex]120x = 600*40[/tex]
[tex]x = \frac{600*40}{120}[/tex]
[tex]x = 200[/tex]
There will be 200g of aluminium.
Final Answer:
When there is 120 grams of tin, there will be 200 grams of aluminum.
Explanation:
In problems involving inverse variation, the formula that describes the relationship between two variables (in this case, aluminum and tin) is as follows:
k = xy
where:
- k is the constant of variation,
- x is the amount of aluminum, and
- y is the amount of tin.
Given that there are 600 grams of aluminum when there are 40 grams of tin, we can use these values to find the constant of variation (k). We can set up the equation and solve for k with the given values.
[tex]\[ k = 600 \text{ grams of aluminum} \times 40 \text{ grams of tin} \\\\\[ k = 24000 \text{ (constant of variation)} \][/tex]
Now that we have the constant of variation, we know this constant remains the same even when the amounts of aluminum and tin change, providing the inverse relationship is maintained.
Now we want to find out how many grams of aluminum there will be when there is 120 grams of tin. We set up the inverse variation formula and solve for x now that y is given as 120 grams:
k = xy
Given that k = 24000 from our previous calculation, we find x:
[tex]\[ x = \frac{k}{y} \\\\\[ x = \frac{24000}{120} \\\\\[ x = 200 \text{ grams of aluminum} \][/tex]
Therefore, when there is 120 grams of tin, there will be 200 grams of aluminum.
Solve this please!!!
Answer:
x = 17
Step-by-step explanation:
These angles are supplementary so (2x + 5) + (8x = 5) = 180 then you just do the algebra
Please mark Brainliest :)
The amount a money in the bank account can be expressed by the exponential equation A=300(1.005)^12t where A is the amount in dollars and t is the time in years. About how many years will it take for the amount in the account to be more than $900?
Answer:
It will take more than 18.35 years for the amount in the account to be more than $900
Step-by-step explanation:
The amount in the bank account can be expressed by the exponential equation :
[tex]A=300(1.005)^{12t}[/tex]
Where A is the amount in dollars
t is the time
We are supposed to find About how many years will it take for the amount in the account to be more than $900
So, [tex]300(1.005)^{12t} >900[/tex]
[tex](1.005)^{12t} > \frac{900}{300}[/tex]
[tex](1.005)^{12t} > 3[/tex]
t>18.35
Hence It will take more than 18.35 years for the amount in the account to be more than $900
Answer:
19th year
Step-by-step explanation:
19th year
The areas of the squares adjacent to two sides of a right triangle are 32units^2 and 32 units^2. Find the length, x, of the third side of the triangle.
Answer:
The length of the third side of the triangle is 8 units
Step-by-step explanation:
Here, since the two sides are adjacent a square, what this means is that the length of the square equals the length of the sides of the triangle adjacent to it.
Mathematically, the formula for the area of a square is L^2
With an area of 32 square units, the length of the side of this triangle is thus √(32) =
4√2 units
So we have two sides of the right triangle with length 4√2 units
Now we should know that this right triangle is an isosceles right triangle since the lengths of the adjacent and the opposite are equal.
Now to calculate the length of the third side which is the hypotenuse, we make use of the pythagoras’ theorem which states that the square of the longest side of a right triangle which is the hypotenuse is equal to the sum of the squares of the other two sides
Thus mathematically, the square of the hypotenuse length is 32 + 32 = 64
Let’s call the hypotenuse h for documentation purposes
h^2 = 64
h = √64
h = 8 units
Answer:
8
Step-by-step explanation:
khan is never wrong :3
A scale on a map shows that 2.5 centimeters represent 15 kilometers.
What number of actual kilometers are represented by 17.5 centimeters on the map?
Answer:
cm for centimeters, km for kilometers.
If 2.5cm → 15 km, then
17.5 cm → x km
x= (15km*17.5cm)/(2.5cm)=105 km
Step-by-step explanation:
Which correctly describes the consistency of the speeds of the cars in the two races? The speeds in race A are likely to be near 170 mph and the speeds in race B are likely to be near to 165 mph. The speeds in race A are likely to be near 153 mph and the speeds in race B are likely to be near to 145 mph. The speeds in race A are likely to be near 120 mph and the speeds in race B are likely to be near to 125 mph. The speeds in race A are likely to be near 145 mph and the speeds in race B are likely to be near to 153 mph.
This question is not complete.
Complete question
The box plots show the average speeds, in miles per hour, for the race cars in two different races.
Average Speeds of Cars in Race A
120.
125
130
135
140
145
150
155
160
165
170
Find attached to this question, the picture of the box plots.
Which correctly describes the consistency of the speeds of the cars in the two races?
a. The speeds in race A are likely to be near 170 mph and the speeds in race B are likely to be near to 165 mph.
b. The speeds in race A are likely to be near 153 mph and the speeds in race B are likely to be near to 145 mph.
c. The speeds in race A are likely to be near 120 mph and the speeds in race B are likely to be near to 125 mph.
d. The speeds in race A are likely to be near 145 mph and the speeds in race B are likely to be near to 153 mph.
Answer:
d. The speeds in race A are likely to be near 145 mph and the speeds in race B are likely to be near to 153 mph.
Step-by-step explanation:
For the boxplot for Race A, the following is obtained from the attached diagram
The range of speed of the race is= Highest - Lowest
170 - 120= 50
The 1st Quartile is = 142
The 2nd Quartile is = 153
The 3rd Quartile is = 165
The Inter quartile range = 3rd quartile - 1st quartile = 165-142= 23
For the boxplot for Race B
The following values is obtained from the attached image.
The range of speed of the race is
Highest speed - Lowest speed
165 - 125= 40
The 1st Quartile is = 139
The 2nd Quartile is = 145
The 3rd Quartile is 150
The Inter quartile range = 3rd quartile- 1st quartile = 150 - 139 = 11
From the values above, we can see that ,
The speeds in race A are likely to be near 145 mph and the speeds in race B are likely to be near to 153 mph.
Somebody help me!!!
What is the area of the rectangle in the coordinate plane?
Answer:
The answer is 5 x 13. Google it bruh
Step-by-step explanation: