angle list: k,l,j:
sides are: LJ, KJ, KL
To find the sides of triangle JLK in order from smallest to largest, we need to compare the measures of the angles. The side opposite the largest angle is the longest side, so we can determine the order of the sides based on the angle measures.
Explanation:The triangle JLK has angles J, L, and K with measures 82, 57, and 41 degrees, respectively. To determine the sides of JLK in order from smallest to largest, we can use the fact that the side opposite the largest angle is the longest side. So, we need to identify the largest angle and its corresponding side.
Comparing the measures of the angles, we can see that M∠J is the largest angle. Therefore, the side opposite angle J, which is side JL, is the longest side. Next, we compare the measures of the remaining angles. M∠L is the next largest angle, so the side opposite angle L, which is side LK, is the second longest side. Finally, M∠K is the smallest angle, so the side opposite angle K, which is side JK, is the shortest side.
Therefore, the sides of triangle JLK in order from smallest to largest are JK, LK, JL.
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Allie bought a roll of wrapping paper that is 8 1/2 feet long. She is wrapping gifts for her staff and needs 1 3/4 feet of wrapping paper for each gift. If Allie wraps as many gifts as possible with one roll, how many feet of wrapping paper will she have left over?
Answer:
1 1/2 feet
Step-by-step explanation:
We know that she needs 1 3/4 feet of wrapping paper per gift and she has a total of 8 1/2 feet.
The number of gifts she can wrap is:
[tex]8.5/1.75=4.86[/tex]
She can wrap four gifts
Therefore:
[tex]4\cdot{1.75}=7[/tex]
She will use 7 feet of wrapping paper and she has:
[tex]8.5-7=1.5[/tex]
She has 1 1/2 feet of wrapping paper left
Answer:
11/2
Step-by-step explanation:
If inflation from last year to this year was 2% and a pair of designer jeans sold for $75 last year, what would you expect to pay for them this year?
Answer:
$76.5
Step-by-step explanation:
We have been given that inflation from last year to this year was 2% and a pair of designer jeans sold for $75 last year. We are asked to find the price of pair of designer jeans this year.
An inflation of 2% will increase the price of pair of jeans by 2%, so price of pair of jeans this year would be $75 plus 2% of $75.
[tex]\text{Price of pair of jeans this year}=\$75+\$75\times\frac{2}{100}[/tex]
[tex]\text{Price of pair of jeans this year}=\$75+\$75\times0.02[/tex]
[tex]\text{Price of pair of jeans this year}=\$75+\$1.5[/tex]
[tex]\text{Price of pair of jeans this year}=\$76.5[/tex]
Therefore, the price of pair of jeans would be $76.5 this year.
The perimeter of the rectangle is 14x + 4, the length of the rectangle is 2x. What is the width of the rectangle?
Answer:
5x+2
Step-by-step explanation:
P=2L+2W
14x+4=2(2x)+2W
14x+4=4x+2W
14x+4-4x=2W
14x-4x+4=2W
10x+4=2W
(10x+4)/2=W
5x+2=W
A rectangular window in a door is 30 inches tall. If the area of the window is 300 square inches, how wide is the window?
10 inches
(300 square inches devided by 30 inches)
it is 10 inches wide!
explanation:
300/30=10
Write the expression "N is the same as 6 reduced by 2" as a number sentence.
Answer:
N = 6 - 2
Step-by-step explanation:
Take each part of the word expression and translate it:
"N" => N ("N" is a variable that represents a number you don't know)
"is the same as" => = ("the same" means equals)
"6 reduced by 2" => 6 - 2 ("reduced" means use subtraction "-")
Put the sentence back together in the same order.
N = 6 - 2
If you wanted to find "N", you can simplify by doing 6 - 2.
N = 4
Given that ABCD is a rhombus, what is the value of x?
(3x - 26)
Answer:its 29
Step-by-step explanation:
Answer:
29
Step-by-step explanation:
Find the quotient 7/8 divided 3/8
Step-by-step explanation:
Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.
Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes
7/8 x 8/3 = ?
For fraction multiplication, multiply the numerators and then multiply the denominators to get
7 x 8
8x3
56/24
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 56 and 24 using
GCF(56,24) = 8
56/8 = 7
24/8 = 3
The fraction 7/3 is the same as 7 divided by 3
Convert to a mixed number using long division for 7 ÷ 3 = 2R1, so
Therefore:
7/3 = 2 1/3
2 1/3
The required quotient is 7/3 when 7/8 is divided by 3/8.
What is the Quotient?A quotient is defined as the outcome of dividing an integer by any divisor that can be said to be a quotient. The dividend contains the divisor a specific number of times.
The division operation is given in the question following as:
⇒ 7/8 ÷ 3/8
We have to determine the quotient when 7/8 is divided by 3/8
As per the given question, we have
⇒ 7/8 ÷ 3/8
⇒ (7/8) / (3/8)
Reciprocal the terms in the numerator, and we get
⇒ (7/8) × (8/3)
Apply the multiplication operation,
⇒ 56/24
Reduce the above fraction to the simplest form
⇒ 7/3
Therefore, the required quotient is 7/3 when 7/8 is divided by 3/8.
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HWEEEPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
P = 105°
QR = 11.6
M = 45°
LN = 8.5
Step-by-step explanation:
when reading the order of what is given LMN = PRQ the order DOES matter
so whe looking at what is being asked....
P will equal whatever its place is in the opposite equation. In this case that is L. This means that P = L. Since L = 105° then so does P.
You can do this with the rest of the letters. What ever letter is in it's place in the opposite equation that is what it equals.
Ben is 4 times as old as I Ishaan and is also 6years older than ishaan
Answer:
24
Step-by-step explanation:
4 times 6 =24
Answer:
Ishaan is 2 years old and Ben is 8
Step-by-step explanation:
Ben is 4 x (2) = 8
Ben is 6 + (2) = 8
make g the subject of x=3g+2
Answer:
look at picture shown.
Which number has the smallest number? -5 or -15?
Answer:
-15
Step-by-step explanation:
this is the negative scale, so the bigger the smaller
Answer:-15
Step-by-step explanation:
-15 is 15 away from 0 while -5 is only 5 away from 0
$300 at 4 percent for 3 years
A: Find the interest earned
B: Find the balance of the account
A concert hall has three sections: the main floor, the balcony, and the gallery. For a recent concert, 1020 tickets were sold. There were twice as many balcony tickets sold as gallery tickets, and 225 more main floor tickets than balcony tickets. If g represents the number of gallery tickets sold, which expressions represents this situation?
Answer:
Let the number of balcony seats be b
Let the number of gallery tickets be g
Let the number of main floor tickets be m
b + g + m = 1020
b = 2g
m = b + 225
The number of balcony tickets = 318
The number of gallery tickets = 159
The number of main floor tickets = 543
Step-by-step explanation:
Let the number of balcony seats be b
Let the number of gallery tickets be g
Let the number of main floor tickets be m
i) Therefore we can write b + g + m = 1020
ii) there were twice as many balcony tickets sold as gallery tickets
therefore b = 2g [tex]\Rightarrow[/tex] g = 0.5b
iii) there were 225 more main floor tickets than balcony tickets
therefore m = b + 225
iv) using equation ii) and equation iii) in equation i) we can write
b + g + m = b + 0.5b + b + 225 = 1020 [tex]\Rightarrow[/tex] 2.5b = 795 [tex]\Rightarrow[/tex] b = 318
v) g = 0.5 b = 0.5 [tex]\times[/tex] 318 = 159
vi) m = b + 225 = 318 + 225 = 543
Answer:
D. Gallery: g
Balcony: 2g
Main Floor: 2g+225
Step-by-step explanation:
Gallery is g
Balcony had 2 times as many tickets than Gallery so 2•g (2•gallery)
Main floor had 225 more tickets than Balcony so Balcony’s equation plus 225 tickets. 2g + 225
urgent please be my saint VX is a midsegment of △WYZ. If YZ=t+95 and VX=10t, what is the value of t?
Answer:
[tex]t = 5[/tex]
Step-by-step explanation:
By the mid-segment theorem of triangles,
[tex]VX= \frac{1}{2} YZ[/tex]
We substitute the expressions in terms of t.
[tex]10t = \frac{1}{2} (t + 95)[/tex]
We multiply through by 2 to get:
[tex]20t = t + 95[/tex]
Subtract t from both sides:
[tex]20t - t = 95[/tex]
[tex]19t = 95[/tex]
Divide both sides by 19:
[tex]t = \frac{95}{19} [/tex]
[tex]t = 5[/tex]
Share £40 in the ratio 1:4
Answer:
8:32
Step-by-step explanation:
1x+4x=40
5x=40
x=8
1*8:4*8
8:32
44 decreased by twice a number
use the variable "n" to represent an unknown number
Answer:
44-2n
Step-by-step explanation:
Hope it helps!
Final answer:
The expression '44 decreased by twice a number' can be represented as 44 - 2n, where n is the unknown number.
Explanation:
The question involves expressing a given mathematical relationship using a variable. Here, the relationship is '44 decreased by twice a number.' To represent this situation with the variable n, we use the expression 44 - 2n. To simplify further, just substitute the variable 'n' with the unknown number. This represents the original number 44 being reduced by two times the value of some unknown number n.
Borrowed 8000 at a rate of 12% compound monthly, no payments how much will be owed after 7 years?
Answer:
[tex]\$18,453.78[/tex]
Step-by-step explanation:
The compound interest formula is equal to
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
where
A is the Final amount owed
P is the amount borrowed
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
[tex]t=7\ years\\ P=\$8,000\\ r=12\%=12/100=0.12\\n=12[/tex]
substitute in the formula above
[tex]A=8,000(1+\frac{0.12}{12})^{12*7}[/tex]
[tex]A=8,000(1.01)^{84}[/tex]
[tex]A=\$18,453.78[/tex]
What is the measure of angle X? 56° 41°
Question:
What is the measure of angle X?
The image of the measurements is attached below:
Answer:
The measure of angle x is 83°
Explanation:
Since, Vertical angles have equal measure,
Let us consider that the angle opposite to 41° is ∠y and they are equal.
i.e, ∠y = 41°
Since, the angles in a straight line add up to 180°, we have,
∠x + ∠y + 56° = 180°
Substituting the value ∠y = 41°, we have,
∠x + 41° + 56° = 180°
Adding the terms, we get,
∠x + 97° = 180°
Subtracting both sides by 97°, we get,
∠x = 83°
Thus, the measure of ∠x is 83°
Answer:
83 degrees
Step-by-step explanation:
I took the test
I Need Help With This Question!
I Need To Draw A Plot Line
Answer:
A line plot graph will show the repetition or frequency of information or value in a number line.
This line plot graph can be used to compare numbers over a certain limit. It is a simple and quick way to order data.
Steps to draw plot graph:-
Write the number sequence in ascending order. Mark the distinct numbers in the sequence.Draw a line and mark points with that distinct numbers. Now look at the sequence and check with the diagram. When a number in the sequence matches the number in the diagram. Then mark a point above that line corresponding to that value.Ascending order: [tex]1\frac{1}{2}, 2\frac{1}{2} ,2\frac{3}{4} ,3,3\frac{1}{2}, 3\frac{3}{4}.\\[/tex]
refer the diagram below for the answer.
Arthur earned $136 in three weeks. He goes back to school in one more week. He needs at least $189 to buy the coat that he wants for school. How much must Arthur earn in the next week?
What is the answer to (7+4)2+(14/7)
Answer:
24
Step-by-step explanation:
Kim says that multiply 1/4×12 is the same as dividing 12 x 4 do you agree with him explain your answer
Answer: No
Step-by-step explanation: 12 x 4 is 48. 12 x 1/4 is the same as dividing 12 by 4, which gives you 3. 3 is not equal to 48.
The correct statement is that the number 3 is not equal to 48.
I do not agree with him.
What is simplification?Simplification is to make something easier to do or understand and to make something less complicated.
Given
Kim says that multiplying 1/4×12 is the same as dividing 12 x 4
How to find the solution?The multiplication of 12×4 = 48.
1/4×12 is the same as dividing 12 by 4, which gives you 3.
Therefore, 3 is not equal to 48.
I do not agree with him.
More about the simplification link is given below.
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Please help me calculate the proper number of significant figures, I would like to check my answers to see if this is correct based on the significant figure rules
A.) 320.80−(6101.3/1.8)320.80−(6101.3/1.8)=
B.) [(286.4×105)−(1.300×103)]×2.8951=
C.) (0.0041×26000.0)+(2811×15)=
D.) 863×[1251−(3.11×109)]=
Final answer:
To determine the proper number of significant figures in a calculation, follow the rules for addition/subtraction and multiplication/division, and round the final answer to the proper number of significant figures.
Explanation:
To determine the proper number of significant figures in a calculation, follow these rules:
Addition and subtraction: The result should have the same number of decimal places as the number with the fewest decimal places.Multiplication and division: The result should have the same number of significant figures as the number with the fewest significant figures.Rounding: Round the final answer to the proper number of significant figures.Using these rules, the proper number of significant figures for the given calculations are:
A.) 320.80 - (6101.3 / 1.8) = 300
B.) [(286.4 x 105) - (1.300 x 103)] x 2.8951 = 839000
C.) (0.0041 x 26000.0) + (2811 x 15) = 40000
D.) 863 x [1251 - (3.11 x 109)] = -1.7742e12
Solve for the intersection point
2x+3y=-6
-2x+3y=-18
Answer:
(3,-4)
Step-by-step explanation:
doug has 45 coins worth $9.00. The coins are all quarters or dimes. How many of each type of coin dose doug have?
Doug have 30 quarters and 15 dimes.
Step-by-step explanation:
Given,
Number of coins = 45
Worth of coins = $9.00 = 9.00*100 = 900 cents
Each quarter = 25 cents
Each dime = 10 cents
Let,
x be the number of quarters
y be the number of dimes
According to given statement;
x+y=45 Eqn 1
25x+10y=900 Eqn 2
Multiplying Eqn 1 by 10
[tex]10(x+y=45)\\10x+10y=450\ \ \ Eqn\ 3[/tex]
Subtracting Eqn 3 from Eqn 2
[tex](25x+10y)-(10x+10y)=900-450\\25x+10y-10x-10y=450\\15x=450[/tex]
Dividing both sides by 15
[tex]\frac{15x}{15}=\frac{450}{15}\\x=30[/tex]
Putting x=30 in Eqn 1
[tex]30+y=45\\y=45-30\\y=15[/tex]
Doug have 30 quarters and 15 dimes.
Keywords: linear equation, elimination method
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Doug has 30 quarters and 15 dimes.
Let
x = number of quarters
y = number of dimes
The total number of coins is 45. Therefore,
Total number of coins:x + y = 45Total amount of the coins is $9. Therefore,
Total cost of the coins:0.25x + 0.1y = 9Therefore,
x + y = 45
0.25x + 0.1y = 9
0.1x + 0.1y = 4.5
0.25x + 0.1y = 9
0.15x = 4.5
x = 4.5 / 0.15
x = 30
y = 45 - 30
y = 15
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Renna pushes the elevator button, but the elevator does not move. The mass limit for the elevator is
450 kilograms (\text{kg}kgstart text, k, g, end text), but Renna and her load of identical packages mass a total of 620\,\text{kg}620kg620, start text, k, g, end text. Each package has a mass of 37.4\,\text{kg}37.4kg37, point, 4, start text, k, g, end text.
Answer:
Whats the full question ?
Step-by-step explanation:
Answer:
37.4p ≥ 170
5 packages
Step-by-step explanation:
The inequality is:
37.4p ≥ 170
Renna needs to remove a minimum of 555 packages from the elevator to meet the mass requirement.
Also the answer above is not ok to do.
Saying random things just for the points is wrong.
Instead you can say it where it says comment under the question
Hope this helps ;)
#15 You earned 89 out of
100 points on your math
quiz. What percent of the
points did you earn?
#16 Outc
are in bar
of studen
Answer:
89%
Step-by-step explanation:
Percent is a number out of 100.
If you got 89 out of 100, you got 89%
there were 20 members in thr running club in september. the membership increased to 25 in october. the membership decreased back to 20 in november. what was the percent decrease from october to november?
There was a decrease of 20% in membership from October to November.
Step-by-step explanation:
Step 1; To find the percent by which the running clubs membership decreased we must find the difference between the number of members in October and the number of members in November. The number of members in the club in October was 25 whereas it reduced to 20 in the month of November.
Difference in members = Number of members in October -Number of members in November = 25 - 20 = 5
Step 2; To find the percent decrease in number of members in the running club, we divide the difference in number of members by the number of members in November . We multiply this value by 100 to get it in terms of percentage.
Percent decrease in number of members =(Difference in members / number of members in November) *100
= (5/25) * 100 = 0.20 * 100 = 20%
So number of members in the club decreased by 20% from October to November.
can you solve this equation for me?
simplify the expression 6-2x+5+4x
Answer:
11 + 2x
Step-by-step explanation:
First you will want to separate like variables, so (6, 5) and then (-2x, 4x)
Then you will use the signs to do the math. You can move everything to help visualize the solution easier.
6+5+4x-2x
6+5 = 11
4x-2x = 2x
Because you cannot add or subtract a variable with a non variable, and both numbers are positive you end up with
11 + 2x
The expression 6-2x+5+4x simplifies to 11 + 2x by combining like terms: the constants (6+5=11) and the variables (-2x+4x=2x).
To simplify the expression 6-2x+5+4x, we start by combining like terms. Combining the constant terms (6 and 5) and the variable terms (-2x and 4x), we get:
Constant terms: 6 + 5 = 11
Variable terms: -2x + 4x = 2x
Thus, the simplified expression is 11 + 2x.
Find the area of shaded region. Round the answer to 2 decimal places if necessary
[tex]\boxed{A=50units^2}[/tex]
Explanation:Hello! Remember you have to write complete questions in order to get good and exact answers. Here you haven't provided any regions so I'll help you assuming a system of inequalities that leads to a shaded region that is a right triangle as shown in the figure below. The system is the following:
[tex]\left\{ \begin{array}{c}x>0\\y>0\\y<-x+10\end{array}\right.[/tex]
From the figure below, the shaded region is a right triangle with base 10 units and height 10 units. So:
[tex]A=\frac{b\times h}{2} \\ \\ \\ A:Area \ of \ the \ triangle \\ \\ b:base \ of \ the \ triangle \\ \\ h:height \ of \ the \ triangle[/tex]
So:
[tex]A=\frac{10\times 10}{2} \\ \\ A=\frac{100}{2} \\ \\ \boxed{A=50units^2}[/tex]
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