Answer:
77 pounds of fudge were sold.
Find the lcm, of x, 2x, 3x
Since x, 2x, 3x contain numbers and variables, it takes two steps to find the LCM. Find the LCM for the numerical part 1; 2; 3; then find the LCM for the variable part x¹ ; x¹; x¹.
The LCM is the smallest number by which all numbers are divided without leaving a remainder.
List the prime factors of each number.Multiply each factor the greatest number of times that occurs in any of the numbers.The number 1 is not a prime number because it only has one positive factor, which is itself.
not cousin.
Since 2 has no divisors other than 1 and 2.
2 is a prime number.
Since 3 has no divisors other than 1 and 3.
3 is a prime number.
The least common multiple LCM of 1,2,3 is the result of multiplying all the prime factors the greatest number of times that appear in each term.
2 × 3
Multiply 2 by 3.
6
The factor for x¹ is x itself.
x¹ = x
The Least Common Multiple LCM of x¹ ; x¹; x¹ is the result of multiplying all the prime factors the greatest number of times that appear in each term.
x
The LCM for x;2x;3x is the numerical part 6 multiplied by the variable part.
6x ====> Answer
Using the side lengths, determine whether the triangle is acute, obtuse, or right. 20 15 15 obtuse right acute
Answer:
acute
Step-by-step explanation:
it is an acute triangle
I am unable to figure out how Tyler is incorrect
Answer:
see below
Step-by-step explanation:
6 -2x + 5 +4x
Combine like terms
6 +5 -2x+4x
The 6 and 5 do not have x only the -2 and -4 have x with them
6+5 +x(4-2)
11 +2x
If two triangles are congruent, which of the following statements must be
true? Check all that apply.
A. The corresponding sides of the triangles are congruent.
B. The corresponding angles of the triangles are congruent.
C. The triangles have the same size.
D. The triangles have the same shape.
Answer:
[A] The corresponding sides of the triangles are congruent.
[B] The corresponding angles of the triangles are congruent.
[C] The triangles have the same size.
[D] The triangles have the same shape.
Step-by-step explanation:
SAS which it is stands for {side, angle, side} and the meaning of SAS is that we have two triangles where we see two sides and the included angle are equal.
In Order for two triangles to be congruent must have the following below:
Two figures are said to be congruent if they have same size and same shape.If two figure are congruent that means the corresponding sides will also be congruent.If two figure are congruent that means the the corresponding angles will also be congruent.Hence, base on the given all the following are correct:
A. The corresponding sides of the triangles are congruent. √
B. The corresponding angles of the triangles are congruent. √
C. The triangles have the same size. √
D. The triangles have the same shape. √
Kavinsky
Answer:
A
Step-by-step explanation:
b/c the sides are corresponding and corresponding angles are always equal
the ordered pair R(-2,7) is translated 5 units to the right and down 2 units. which of the following descirbes the translation using translation notation
a (x-2,y+5
b (x + 2, y - 5
c (x - 5, y + 2
d (x + 5, y - 2
Calculate 51 + ( 6 + 3 x 2 ) ÷ 3
………………………………………
b) Work out (29 – 8) ÷ 32
………………………………………
c) Write the missing number to it correct.
6 + 5 x ………….. – 16 = 20
Answer:
a) 55 b)=21/32 c)x=6
Step-by-step explanation:
a)Follow the PEMDAS order of operations
Calculate within parentheses
(6 +3 x 2)
(6+6)
= 12
=51+ 12 ÷ 3
Multiply and divide (left to right)
12÷ 3=4
51 +4
Add and subtract (left to right)
51 + 4=55
B)
Follow the PEMDAS order of operations
29 – 8) ÷ 32
Calculate within parentheses
(29 – 8) =21
= 21 ÷32
Multiply and divide (left to right)
21 ÷32
=21/1× 1/32
=21/32
C)let the unknown be X
6+ 5× X- 16 = 20
Group like terms
5x +6- 16 = 20
Add/Subtract the numbers:
6- 16 = -10
5x - 10= 20
Add 10 to both sides
5x- 10 + 10 =20 + 10
Simplify
5x=30
Divide both sides by 5
5x/5=30/5
x=6
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{51 + ( 6 + 3 \times 2 ) \div 3}\\\\\mathsf{= 51 + \dfrac{6+ 3\times2}{3}}\\\\\mathsf{= 51 + \dfrac{6 + 6}{3}}\\\\\mathsf{= 51 + \dfrac{12}{3}}\\\\\mathsf{= 51 + 4}\\\\\mathsf{= 55}\\\\\huge\text{Therefore, the answer is: \boxed{\mathsf{55}}}\huge\checkmark[/tex]
[tex]\mathsf{(29 - 8) \div 32}\\\\\mathsf{= \dfrac{29 - 8}{32}}\\\\\mathsf{= \dfrac{29 - 8}{32 - 0}}\\\\\mathsf{= \dfrac{21}{32}}\\\\\mathsf{= 21\div 32}\\\\\mathsf{= 0.65625}\\\\\huge\text{Therefore, the answer is: \boxed{\mathsf{0.65625}}}\huge\checkmark[/tex]
[tex]\mathsf{6 + 5 \times p - 16 = 20}\\\mathsf{\rightarrow 6 + 5p - 16 = 20}\\\mathsf{\rightarrow 5p - 10 = 20}\\\text{ADD 10 to BOTH SIDES}\\\mathsf{5p - 10 + 10 = 20 + 10}\\\text{SIMPLIFY IT!}\\\mathsf{5p = 20 + 10}\\\mathsf{5p = 30}\\\text{DIVIDE 5 to BOTH SIDES}\\\mathsf{\dfrac{5p}{5}= \dfrac{30}{5}}\\\text{SIMPLIFY IT!}\\\mathsf{p = \dfrac{30}{5}}\\\mathsf{p = 6}\\\\\huge\text{Therefore, the answer is: \boxed{{\mathsf{6}}}}\huge\checkmark[/tex]
[tex]\large\textsf{Lets check to make sure \#3 is correct!}\\\mathsf{6 + 5\times \bold{6} - 16}\\\mathsf{= 6 + 30 - 16}\\\mathsf{= 36 - 16}\\\mathsf{= 20}\\\\\huge\textsf{Thus, the answer in the blank IS: \boxed{\mathsf{6}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
The rectangular floor of a classroom is 26 feet in length and 24 feet in width. A scale drawing of the floor has a length of 13 inches. What is the area, in square inches, of the floor in the scale drawing?
Step-by-step explanation:
The area of the floor of the scale drawing and the scale factor are 72 in² and 1/4 respectively
Actual Length = 36 feets
Actual width = 32 feets
Model width = 9 inches
The scale factor = 9 / 36 = 1/4
The length of the model canbe calculated thus :
Actual Length × scale factor
Model width = 32 × 1/4 = 8 inches
The Area of a rectangle can be calculated using the relation :
Area = Length × width
Area of floor = 8 inches × 9 inches = 72 inch²
Therefore, the area of the floor of the scale drawing is 72 in²
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The area of the rectangular floor in the scale drawing is A = 156 inches²
What is the Area of a Rectangle?The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
Let the area of the rectangular floor in the scale drawing be A
Let the length of the rectangular floor be L = 26 feet
Now , the length of the rectangular floor in scale drawing = 13 inches = L/2
And , the width of the rectangular floor be W = 24 feet
So , the width of the rectangular floor in scale drawing = W/2 = 12 inches
Now , Area of Rectangle = Length x Width
Substituting the values in the equation , we get
The area of the rectangular floor in the scale drawing A = 13 x 12
The area of the rectangular floor in the scale drawing A = 156 inches²
Hence , the area of rectangle is 156 inches²
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2. If you are paid time and a half for Saturday and double time for Sunday,
a) what is your overtime
pay for
the weekend? b) What is your total pay if you include the hours worked Monday through Friday (from #1
above)?
DATE
IN
OUT
IN
OUT
HOURS
Sat.
7:00 AN
11:30 AN
12:00 PM
4:00 PN
Sun.
8:15 AN
11:45 AM
12:15 PM
4:30 PM
I can't give the exact answer as the base pay and weekly hours arn't stated but here's how to solve letters in parentheses are place holders just plug in the numbers accordingly :)
Step-by-step explanation:
A.
figures needed, base pay (p) total hours worked (t) half
Saturday
p÷2= the ½ in time and a half (x)
p+x= 1 hr Saturday pay (s)
s+2= r (to cover the 30m)
7:00am to 11:30am 4hr 30m
12:00pm to 4:00pm 4hr
add them
8hr 30m
(s×8)+r= how much you were paid on Saturday
Sunday
p×2= h dubble pay
Calculate how many hrs worked on Sunday and apply the same logic as for Saturday appropriately divide the time if it doesn't come out as an even hour.
Final
Add Saturday and Sunday pay together to get weekend pay.
B.
Same formula hours worked times hourly pay.
Add the weekday and weekend pay together and thats pt B.
Hope this helps!
Triangle DEF is similar to triangle GHI. Find the measure of side IG. Round your answer to the nearest tenth if necessary.
The measure of side IG from similar triangles DEF and GHI is 34.8 units.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Two shapes are said to be similar if they have the same shape and the ratio of their corresponding sides are in the same proportion. Hence:
IG/GH = FD/DE
x / 19 = 11/6
x = 34.8
The measure of side IG from similar triangles DEF and GHI is 34.8 units.
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Which set of steps shows the solution to the equation 2y = −8? (5 points) Hint: Use inverse operations. What is the opposite of multiplication? a y = −8 − 2; y = 6 b y = −8 ÷ (−2); y = 4 c y = −8 ÷ 2; y = −4 d y = −8 − (−2); y = −6
Give the following number
in Base 10.
1025 = [?]10
Enter the number that belongs in the green box.
Answer:
27
Step-by-step explanation:
Numbers can be converted to base 10 by writing them in expanded form.
__
102₅ = 1×5² +0×5 +2×1
= 25 +2
= 27₁₀
this cylindrical fish tank has a height of 38 inches and diameter of 26 inches. what is the volume of the fish tank.
Answer:
using π as 3.14: 20165.08 cubic inches
in terms of π: 6422π cubic inches
Step-by-step explanation:
» Concepts
The volume of a cylinder is how much space the cylinder can take inside of it. The formula to find this volume is πr²h, where r = radius and h = height. In addition, it's important to know that the radius is half the diameter.
» Application
We're given the radius as 13 inches (26/2 = 13), and the height is 38 inches. Now, we just have to plug in the values and simplify.
» Solution
Using π as 3.14:
[tex]3.14*13^2*38[/tex] [tex]3.14*169*38[/tex][tex]20165.08[/tex]In terms of π:
[tex]\pi *169*38[/tex] [tex]6422\pi[/tex]A spinner Is divided into elght equal sections. Each section is labeled with one number, from 1-8. Maggle spins the
pointer on the spinner five times, each at a different speed. Four of the times the pointer lands on the section labeled 7.
Which statement BEST explains these results?
The section labeled 7 is slightly bigger than the other sections
The bottom of the spinner is not flat.
The section labeled 7 appears more than once on the spinner.
The pointer of the spinner is not balanced.
Answer:
Step-by-step explanation:
The bottom of the spinner is not flat.
sorry would not let me copy and paste i need the answer to number 7
Step-by-step explanation:
well, what do we expect in theory ?
a coin has a 50/50 chance for beads or tails. so, a probability of 1/2 for either one.
the probability for a survival number in a die is 1/6.
remember, the probability is always desired results over total possible results.
so, the combination is a simple multiplication.
the probability to get a certain side of the coin AND a certain number on the die is
1/2 × 1/6 = 1/12
so, this is what we would expect in theory : every combination happens in 1/12 of all cases.
now, what do we see in our practical experiment ?
there were 24 events (so, the total possible results are 24).
how many of them had heads and a 3 (the desired results) ?
there was only 1 result (in fact, there was only one 3 independently from the coin result, which is surprisingly low for 24 rolls of a die).
so, our experiment shows us a ratio or experimental probability of
1/24
for the desired result of heads with a 3 on the die.
we expected to get a ratio of
1/12 = 2/24
so, in reality, we got 1/24 less than theoretically expected.
Now let's explore how to use Desmos to help solve questions like the following.
The movie theatre charged $6 for children tickets (x) and $9 for adult tickets (y). The total revenue for Friday night was $1500. How could you type this out as an equation?
(Brainliest!)
Line WS is parallel to line KV. Line RT is perpendicular to line KV. Explain the relationship of line RT to line WS. Provide at least one reason to support your answer.
Please help fast! I'm being timed
Answer:
If [tex]\displaystyle\mathsf{\overline{WS}}[/tex] ║ [tex]\displaystyle\mathsf{\overline{KV}}[/tex], and [tex]\displaystyle\mathsf{\overline{KV}}[/tex] ⊥ [tex]\displaystyle\mathsf{\overline{RT}}[/tex], then [tex]\displaystyle\mathsf{\overline{RT}}[/tex] ⊥ [tex]\displaystyle\mathsf{\overline{WS}}[/tex]
Step-by-step explanation:
We are given the diagram of parallel lines, [tex]\displaystyle\mathsf{\overline{WS}}[/tex] and [tex]\displaystyle\mathsf{\overline{KV}}[/tex], which are intersected by line [tex]\displaystyle\mathsf{\overline{KV}}[/tex]. The prompt requires us to determine the relationship between [tex]\displaystyle\mathsf{\overline{RT}}[/tex] and [tex]\displaystyle\mathsf{\overline{RS}}[/tex].
Definitions:Parallel lines are non-intersecting lines that are coplanar and have the same slope.
Perpendicular lines: the intersection between two lines that form right angles. Perpendicular lines also have negative reciprocal slopes.
Transversal : a line that intersects at least two distinct coplanar lines in at least two or more definite points.
Explanation:We will use the given diagram and the following theorems/postulates to prove the relationship between lines [tex]\displaystyle\mathsf{\overline{RT}}[/tex] and [tex]\displaystyle\mathsf{\overline{WS}}[/tex].
The Parallel Postulate states that given line [tex]\displaystyle\mathsf{\overline{WS}}[/tex] and a point that is [tex]\displaystyle\sf\doubleunderline{\underline{\underline{not}}}[/tex] on line [tex]\displaystyle\mathsf{\overline{WS}}[/tex] , then there is exactly one line through that point that is parallel to line [tex]\displaystyle\mathsf{\overline{WS}}[/tex]. The Perpendicular Postulate states that given line [tex]\displaystyle\mathsf{\overline{KV}}[/tex] and point R that is not on line [tex]\displaystyle\mathsf{\overline{KV}}[/tex], then there is a definite line through point R that is perpendicular to line [tex]\displaystyle\mathsf{\overline{KV}}[/tex]. The Perpendicular Transversal Theorem states that given a transversal, [tex]\displaystyle\mathsf{\overline{RT}}[/tex], which is perpendicular to one of the parallel lines, [tex]\displaystyle\mathsf{\overline{WS}}[/tex], then it means that transversal [tex]\displaystyle\mathsf{\overline{RT}}[/tex] is also perpendicular to the other parallel line, [tex]\displaystyle\mathsf{\overline{KV}}[/tex].Now that we have established the necessary postulates and theorem, we can state that:
If [tex]\displaystyle\mathsf{\overline{WS}}[/tex] ║ [tex]\displaystyle\mathsf{\overline{KV}}[/tex], (Parallel Postulate) and [tex]\displaystyle\mathsf{\overline{KV}}[/tex] ⊥ [tex]\displaystyle\mathsf{\overline{RT}}[/tex], (Perpendicular Transversal Theorem ), then [tex]\displaystyle\mathsf{\overline{RT}}[/tex] ⊥ [tex]\displaystyle\mathsf{\overline{WS}}[/tex] (Perpendicular Postulate). ________________________Keywords:
Parallel Lines
Perpendicular lines
Perpendicular Transversal Theorem
____________________________
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pls help............
Answer:
a is 3 and b is 10 i am pretty sure
Step-by-step explanation:
Find the area of each figure. If necessary use 3.14 for pi and round to the nearest hundredth
Answer:
23.88 cm squared
Step-by-step explanation:
3.6 x 5.9 = 21.24
1.1 x 4.8 x 1/2 = 2.64
21.24 + 2.64 = 23.88
a rectangular garden has a width of 1.2 meters
Answer:
? anything else or..
Step-by-step explanation:
What is the midline of the function graphed below?
y = 1
y= 0.5
y = 0
y =2
The midline of the given graphed function for the y-coordinate is equal to y = 0.
The midline of a set of functions, you need to determine the average of their highest and lowest points.
For the functions represented in the graph,
y = 0.5.
The highest point is 0.5 for the graph.
y = -0.5
The lowest point is-0.5.
The midline of the set of functions is the average of their highest and lowest points.
Midline represented by a horizontal line.
Midline is the line that exactly passes through the midpoint of the highest and the lowest point.
Here on y-axis we have ,
Highest coordinate = 0.5
Lowest coordinate = -0.5
Midline point = ( highest point + lowest point ) / 2
Substitute the value we get,
⇒midline point = ( 0.5 + (-0.5))/ 2
⇒midline point = 0 /2
⇒midline point = 0
Therefore, the midline of the function of the graph is y = 0.
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What quadratic function has 13 and 2 as its zeros?
(write a quadratic function f whose zeros are 13 and 2.)
*please answer by today if available*
[tex]\text{The roots are 13 and 2.}\\\\\text{Now, the quadratic function,}\\\\~~~~~~~f(x) =x^2 -(13+2)x + (13)(2)\\\\\implies f(x)= x^2 -13x-2x + 26\\ \\\implies f(x) = x^2 -15x+26[/tex]
Use an identity to find the value of
Answer:
-sin Ф
Step-by-step explanation:
sin( O + 180) = sinФ cos180 + sin180 cosФ
= sin Ф * -1 + 0 * cos Ф
= -sin Ф
So
sin(Ø+180)sinØcos180+cosØsin180-sinØ+0-sinØWrite a factor that you can use to rationalize the denominator of √2/√5−8.
Write a factor that you can use to rationalize the denominator of √2/√5−8.
Answer: √5+8
Find the surface area of ALL FIVE shapes.
Suppose you invest $500 at an annual interest rate
of 3.9% compounded continuously. how much will
you have in the account after 4 years?
Answer:
$584.41
Step-by-step explanation:
From this information, we can write the following equation:
[tex]P = 500(e)^{0.039t[/tex] where t is the number of years.
To find out the amount after 4 years, we can simply plug in 4 for t:
[tex]P = 500(e)^{0.039(4))\\[/tex]
≈ $584.41
Answer:
$584.41
Step-by-step explanation:
From this information, we can write the following equation:
where t is the number of years.
To find out the amount after 4 years, we can simply plug in 4 for t:
≈ $584.41
In the year 2017, an estimated 4,347,000 people in this country are illiterate.
With new incentives and funding, the country is hoping to cut that nuber by
14% every year. How manny people do you predict will be illiterate in the year
2025?
The number of people of the country which is predicted will be illiterate in the year 2025 are 1,300,700.
What is percentage decrease?Percentage decrease is the amount deducted or reduced from the initial value in the percentage part.
In the year 2017, an estimated 4,347,000 people in this country are illiterate. With new incentives and funding, The country is hoping to cut that number by 14% every year.
Total year from 2017 to 2025 are 8 years. Thus, use the following formula of compound interest to find percentage decrease:
[tex]A=P\times\left(1+\dfrac{r}{100}\right)^{t}\\[/tex]
Here, A is the final population, The initial population is P, the rate is r and the time period is t. Put the values,
[tex]A=4347000\times\left(1-\dfrac{14}{100}\right)^{8}\\A\approx1300700[/tex]
Thus, the number of people of the country which is predicted will be illiterate in the year 2025 are 1,300,700.
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Please Hurry 70 Points
When given the diameter of a sphere, how can the volume be calculated? Describe the steps needed to find the volume.
Answer:
Volume is the quantity of three-dimensional space enclosed by a closed surface, for example, the space that a substance (solid, liquid, gas, or plasma) or shape occupies or contains. Volume is often quantified numerically using the SI derived unit, the cubic metre.
Step-by-step explanation:
help me please it’s due
Answer:
13.82 in.
Step-by-step explanation:
To find the circumference of a circle, you multiply the diameter by pi ([tex]\pi[/tex]):
[tex](4.4)(\pi )=13.82301[/tex]
Rounded to the nearest tenth, 13.82301 is 13.82. Therefore, 13.82 is the answer.
I hope this helps!
Brad and tom are comparing their classes scores on a math test . both of their classes had mean scores of 80 on the test, but brad's class had a range of 6 while tom's class had a range of 30 . if the highest possible score was 100, which class had the lowest score in it
Answer:
Tom's class had the lower score
Step-by-step explanation:
Because the range is larger for Tom's class than it is for Brad's class, it is rather likely that students in Tom's class did not do as well on the test than students in Brad's class did.
Which function has a range limited to only negative numbers?
The function that has a range limited to only negative numbers is Square Root.
Can one has the range of a function to be negative?The function of this kind is known to be a kind of radical function that is said to have even index e.g. a square root. and thus, this radicand is one that can have a negative value for some or for the values of x.
Note therefore, that The function that has a range limited to only negative numbers is Square Root and thus it is correct.
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Answer:
A or the first Graph
Step-by-step explanation:
My attachment proves this answer is true
