Answer:
2x+118=180
x=31
Step-by-step explanation:
Congruent means equal so the two missing angles are same, therefore being 2x. Add 118 to 2x since it is already known and all of that is equal to 180. Solve:
2x+118=180
2x=62
X=31
Esmerelda simplified a complex fraction. Her work is shown below. Negative 5 and one-fourth divided by three-halves = negative StartFraction 21 over 4 EndFraction divided by three-halves = (Negative StartFraction 21 over 4 EndFraction) (Three-halves) = Negative StartFraction 24 over 6 EndFraction = negative 4
Given:
The complex fraction is
[tex]\dfrac{-5\dfrac{1}{4}}{\dfrac{3}{2}}[/tex]
Esmerelda simplified a complex fraction and steps are given.
To find:
The mistake of Esmerelda.
Solution:
We have,
[tex]\dfrac{-5\dfrac{1}{4}}{\dfrac{3}{2}}[/tex]
Convert the mixed fraction in improper fraction.
[tex]\dfrac{-5\dfrac{1}{4}}{\dfrac{3}{2}}=\dfrac{-\dfrac{5\times 4+1}{4}}{\dfrac{3}{2}}[/tex]
[tex]\dfrac{-5\dfrac{1}{4}}{\dfrac{3}{2}}=\dfrac{-\dfrac{20+1}{4}}{\dfrac{3}{2}}[/tex]
[tex]\dfrac{-5\dfrac{1}{4}}{\dfrac{3}{2}}=\dfrac{-\dfrac{21}{4}}{\dfrac{3}{2}}[/tex]
Use the reciprocal of the divisor.
[tex]\dfrac{-5\dfrac{1}{4}}{\dfrac{3}{2}}=-\dfrac{21}{4}\times \dfrac{2}{3}[/tex]
[tex]\dfrac{-5\dfrac{1}{4}}{\dfrac{3}{2}}=-\dfrac{21\times 2}{4\times 3}[/tex]
[tex]\dfrac{-5\dfrac{1}{4}}{\dfrac{3}{2}}=-\dfrac{42}{12}[/tex]
[tex]\dfrac{-5\dfrac{1}{4}}{\dfrac{3}{2}}=-\dfrac{7}{2}[/tex]
Therefore, the correct value of given fraction is [tex]-\dfrac{7}{2}[/tex].
Three mistakes of Esmerelda are:
1. Esmerelda added the numerators.
2. Esmerelda added the denominators.
3. Esmerelda did not use the reciprocal of the divisor.
Answer:
B,C,E
Step-by-step explanation:
Select all of the names that apply to 25
Irrational
Rational
Integer
O Whole
Real
A stage designer paid $4 per square foot for flooring to be used in a square room. If the designer spent $600 on the flooring, about how long is a side of the room? Round to the nearest foot.
• How is the area of a square related to its side length? Explain
• How can you estimate the length of a side of a square? Explain
Answer:
A square has equal width and length. To find the area, you have to multiply the width by length but because they are the same length, you may some time see the formula written as L*L or [tex]L^{2}[/tex].
The area of used up by the squares is 150sq feet. I found this by dividing 600 by 4. You can find an estimate by equating 150 the L*L. This gives you an approximate value of 12.
Part 1 out of 2
Your friend says that there is an angle whose measure is the same as the measure of the sum of its
supplement and its complement.
Is your friend correct? What is the measure of the angle?
the measure of its complement is
10, and the measure of its
The measure of the angle is
supplement is
Check
Next
Answer:
The angle is 90, my friend gave the answer as 10, so he is incorrect
The complement of the angle is not 10 but 0
The measure of the supplement is 90 degrees
Step-by-step explanation:
The complement of an angle is simply the value of 90 minus the angle
The supplement of an angle is simply the value of 180 minus the angle
So let’s say the angle we are looking at is x
The complement of the angle will be 90 - x
The supplement of the angle will be 180-x
so from the question;
x = 90-x + 180-x
x = 270 - 2x
2x + x = 270
3x = 270
x = 270/3
x = 90
The measure of the angle is 90 degrees
the measure of the complement of this angle is 90-90 = 0 degrees
The measure of the complement is 180-90 = 90 degrees
Okay so I asked my teachers to help me but they can't figure it out :>
Answer:
this is the answer for first question with this i bet you can do the rest
Step-by-step explanation:
first one 3.99 cent for small bag and 3.349 cent in big bag
You can write a ratio in 3 ways… example-7lb/27.93 or 7:27.93 or 7 to 27.93. Or you can actually divide the number and get a smaller version.
Part B is the answer you get when you divide 7/27.93. Equivalent fraction would be 1/?? Whatever the answer is.
Part C is which ever one is the lesser amount per 1/??
better way and help for rest
Answer:
Woah this is hard
Step-by-step explanation:
Hugh says that “one less than four times a number” can be written as two expressions: 1 - 4n and 4n - 1. Why is Hugh incorrect?
A
because no two expressions are equal
B
because subtraction is not commutative
C
because Hugh forgot to include equal signs
D
because coefficients go after their variables
Huge is incorrect, because subtraction is not commutative.
What is mean by Subtraction?Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Given that;
Hugh says that “one less than four times a number” can be written as two expressions,
⇒ 1 - 4n and 4n - 1.
Now, We know that;
The subtraction property is not commutative.
And, 1 - 4n ≠ 4n - 1
Hence, Hugh is incorrect.
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Los siguientes problemas se encuentran en lenguaje común, traduzcan cada uno de ellos a lenguaje algebraico solamente. AEel cuadrado de un número menos cinco es igual a doscientos veinte B) Alejandra pensó un número, lo elevó al cuadrado, multiplicó el resultado por cuatro y obtuvo cien C)Si una pista de baile tiene un área de 5625m² y se sabe que su largo mide lo mismo que su ancho, cuanto medirán las dimensiones de la pista de baile
Answer:
A) La traducción algebraica de la oración es [tex]x^{2}-5=220[/tex].
B) La traducción algebraica de la oración es [tex]4\cdot x^{2} = 100[/tex].
C) Ese problema se traduce bajo esta forma lógica como [tex]w\cdot l = 5625\,m^{2}[/tex] [tex]\land[/tex] [tex]w = l[/tex] [tex]\implies[/tex] [tex]w = 75\,m[/tex] [tex]\land[/tex] [tex]l = 75\,m[/tex].
Step-by-step explanation:
Debemos proceder en este ejercicio como sigue:
1) Leer cuidadosamente la frase.
2) Escribir su equivalente matemático a medida que se lee y hasta culminarlo.
A continuación, presentamos el desarrollo y la conclusión de cada ejercicio:
A) Interpretamos la oración paso a paso conforme al lenguaje matemático conocido:
(i) El cuadrado de un número:
[tex]x^{2}[/tex]
(ii) El cuadrado de un número menos cinco:
[tex]x^{2}-5[/tex]
(iii) El cuadrado de un número menos cinco es igual a:
[tex]x^{2}-5=[/tex]
(iv) El cuadrado de un número menos cinco es igual a doscientos veinte:
[tex]x^{2}-5=220[/tex]
La traducción algebraica de la oración es [tex]x^{2}-5=220[/tex].
B) Interpretamos la oración paso a paso conforme al lenguaje matemático conocido:
(i) Alejandra pensó un número:
[tex]x[/tex]
(ii) Alejandra pensó un número, lo elevó al cuadrado,:
[tex]x^{2}[/tex]
(iii) Alejandra pensó un número, lo elevó al cuadrado, multiplicó el resultado por cuatro:
[tex]4\cdot x^{2}[/tex]
(iv) Alejandra pensó un número, lo elevó al cuadrado, multiplicó el resultado por cuatro y obtuvo cien:
[tex]4\cdot x^{2} = 100[/tex]
La traducción algebraica de la oración es [tex]4\cdot x^{2} = 100[/tex].
C) Interpretamos la oración paso a paso conforme al lenguaje matemático conocido:
(i) Si una pista de baile tiene un área de 5625 m²:
[tex]A = 5625\,m^{2}[/tex]
(ii) Si una pista de baile tiene un área de 5625 m² y se sabe que su ancho mide lo mismo que su ancho:
Lo que se infiere de la afirmación es que la pista de baile sería un cuadrilátero y más precisamente, un cuadrado:
[tex]A = 5625\,m^{2}[/tex]
[tex]A = w\cdot l[/tex] ([tex]l[/tex] - Largo, [tex]w[/tex] - Ancho)
[tex]w = l[/tex]
Entonces la ecuación algebraica sería:
[tex]l^{2} = 5625\,m^{2}[/tex]
(iii) Si una pista de baile tiene un área de 5625 m² y se sabe que su ancho mide lo mismo que su ancho, cuanto medirán las dimensiones de la pista de baile:
Lo que se infiere de la afirmación es que la pista de baile sería un cuadrilátero y más precisamente, un cuadrado:
[tex]A = 5625\,m^{2}[/tex]
[tex]A = w\cdot l[/tex] ([tex]l[/tex] - Largo, [tex]w[/tex] - Ancho)
[tex]w = l[/tex]
Entonces la ecuación algebraica sería:
[tex]l^{2} = 5625\,m^{2}[/tex]
Y obtenemos la longitud por despeje:
[tex]l = \sqrt{5625\,m^{2}}[/tex]
[tex]l = 75\,m[/tex]
[tex]w = 75\,m[/tex]
Ese problema se traduce bajo esta forma lógica como [tex]w\cdot l = 5625\,m^{2}[/tex] [tex]\land[/tex] [tex]w = l[/tex] [tex]\implies[/tex] [tex]w = 75\,m[/tex] [tex]\land[/tex] [tex]l = 75\,m[/tex].
Trevor paid a total of $1.08 in fines for an overdue library book. If the penalty for overdue books is $0.09 per day, how many days late was the book?
2 days
8 days
12 days
20 days
im new
srry
A piece of machinery depreciates $8000 the first year,
$7500 the second year, and $7000 the third year. If the
rate of depreciation is constant, what is the amount of
depreciation of the piece of machinery in the sixth year?
Answer:
6,500 = 4th year
6,000 = 5th year
5,500 = 6th year.
The amount of depreciation of the piece of machinery in the sixth year is $5000.
What is depreciation?A reduction in the value of an asset over time, due in particular to wear and tear.
Given that, a piece of machinery depreciates $8000 the first year, $7500 the second year, and $7000 the third year
The rate of depreciation is $500 per year
For 6 years the reduction is = 6*500 = $3000
Therefore, after 6 years = $8000 - $3000 = $5000
Hence, The amount of depreciation of the piece of machinery in the sixth year is $5000
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Help pretty pretty please :(
Answer:
27/20
Step-by-step explanation:
The absolute value of any expression is always positive or zero
3/5 + 3/4
Add the fractions
27/20
Solution
27/20
Alternate form
1 7/20, 1.35
Answer:
1.35
Step-by-step explanation:
Simplify: 3/5 + 3/4Find the LCM for the denominators: 20Alter the numerators to fit the denominators: 3 × 4 = 12, 3 × 5 = 15Re-write the fractions and add them: [tex]\frac{12}{20} + \frac{15}{20} = \frac{27}{20}[/tex] 27/20 = 1.35I hope this helps!
The home team scored 3 touchdowns. The visiting team scored 4 field goals. Which team scored more points?
Answer:
The home team with 3 touchdowns
Step-by-step explanation:
A touchdown in football is equal to 6 points
6*3=18
A field goal is equal to 3 points
4*3=12
The home team scored more points at 21 points than the visiting team which had only scored 12 points.
Given that, the home team scored 3 touchdowns. The visiting team scored 4 field goals.
We need to find which team scored more points.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Now,
If you are including the extra point as the touchdown it would be 7 points times 3 touchdowns which would put the first team at 21 points total (if not including the extra point they would have 18 points)
For the 2nd team, they have 3 pts times 4 field goals which would put the visiting team at 12 points total.
Therefore, the home team scored more points at 21 points than the visiting team which had only scored 12 points.
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2/3h-2/3h+11=8 solve this equation , check steps
Answer:
Step-by-step explanation:
There is no answer if the question is as written. If you subtract 2/3 h from 2/3 h you get 0.
That means that 11 = 8 which has no meaning.
the length of the rectrangular field is twice its breadth ifvthe are of the field is 3200 square meters what is the cost of fencing the field at rs 40 per meter
Answer:
Step-by-step explanation:
Area of a rectangle = Length x Breadth.
Area= L x B
We are told the length is twice the breadth.
You can write this as :
Length = 2 x Breadth
L = 2B
If you put that into the area formula at the beginning, we get:
Area = L x B
Area = 2B x B = [tex]2B^2[/tex]
They also told us that the area of the field is 3200 square meters. So,
Area = [tex]2B^2[/tex] = 3200
Divide both sides by 2
[tex]B^2[/tex]= [tex]\frac{3200}{2} = 1600[/tex]
Now to solve for B we need to square root both sides.
[tex]B = \sqrt{1600}[/tex] = 40
So now we know the Breadth is 40meters
Remember earlier we said Length = 2 x Breadth
[tex]L = 80[/tex]
Cost of fencing the field = 2L + 2B
Cost of fencing the field = 2 x 80 + 2 x 40 = $240
A slope of -4 through the point (5,-1) anyone know this?
Answer:
y = -4x + 19
Step-by-step explanation:
We will use the linear equation y = mx + c for this
m is our slope and c is our offset (y-intercept)
We are informed that our slope is -4 so
y = -4x + c
To find the equation of a line passing through the point (5,-1) we simply plug in our values into our equation
-1 = -4(5) + c
Then we can find c
-1 = -20 + c
19 = c
Now that we have our m and c, we can form an equation of a line that passes through our point:
y = -4x + 19
Find the value of the variable.
Answer:
Answer is x and y
Step-by-step explanation:
hope this will help you
Help please..the top said What ordered pair do you see in the image?
Answer:
That would be the origin, (0,0).
Please let me know if I'm incorrect!
Answer:
the ordered pair you see is (0,0) or the origin
6. Evaluate 81^1/2
Helpp pleasee
Answer:
9
Step-by-step explanation:
81^1/2 is actually √81
square root of √81 is 9
Pls mark me as brainliest
A fifteen passenger van is rented for a family vacation. The van rental is $75.00 per day, plus a $160.00 insurance fee. How many days can the van be rented if they want to spend less than $760.00 on the van rental? Write and solve the inequality.
The answer is three
Step-by-step explanation:
75 plus 160 is 235 and 235+235+235= 705
The marked angle can be classified as . . .
obtuse
straight
acute
right
Answer:
Acute
Step-by-step explanation:
The definition of an acute angle is less that 90 degrees.
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
TECH
Musical theatre features a
Question Blank
type your answer...
style of acting because everyone in the audience needs to read your expression.
Step-by-step explanation:
need staff how do u apply that
Which point is on the line 4y-2x=0
Answer:
answer is 1 ) ( -2 -1 )
Step-by-step explanation:
4* (-1) - 2 (-2) = 0
Simplify the expression, (4-3i)(-3+6i)-(2-i)
Answer:
(4-3i)(-3+6i)-(2-i)=
1i×9i-1i=
9i-1i=
8i
if b = 3 then b to the 2nd power is equivalent to
9. Practice: Summarizing (1 point)
The workers leave the lights on in the break room for stretches of about 3 hours. Which light
bulb would light this room using the least amount of energy?
10. Practice: Summarizing (1 point)
The lights in the main room of the factory stay on for stretches of 9 hours. Which kind of light
bulb would light this room with the least amount of energy?
[tex]7 + 3 ^{2} \times 2[/tex]
elevated the expression
please help me answer this question about rectangles
Answer:
5.14
Step-by-step explanation:
The similarity ratio is 4/7 we can write an equation to find x
4/7 = 9/x cross multiply
7x = 36 divide both sides by 7
x = 5.14 approximately
Answer:
The answer is B
Step-by-step explanation:
5.14 hope this helps. :)
Carmen and Linda share 70 candies. If Carmen gets four more candies than Linda gets, how many candies does Linda get? Show
your work.
Answer:
66 candies
Step-by-step explanation:
70-4=66
math thanks ik u like math
Answer:
775/25
Step-by-step explanation:
multi step equation
2x +3=-7
Answer:
x = -5
Step-by-step explanation:
Subtract 3 from each side, so it now looks like this: 2x = -10Divide each side by 2 to cancel out the 2 next to x. It should now look like this: x = -5I hope this helps!
Answer:
if you need to find the value of x then I can help
First the equation looks like this:
2x + 3 = -7
first find the value of "x" which will be -5 then the equation will look like this:
2(-5) then multiply 2 and -5 which is equal to -10
this will make the equation look like this:
-10 + 3 = -7
then evaluate
-10 + 3 = -7
-7 = -7
Therefore the value of "x" is -5
Clear selection
1 point
2. Find all angles between 0° and 180° which satisfy the equation cos y =-0.63
[A] 26.7, 153.3
[B] 129.1
[C] 26.7, 129.1
[D] 65.1
Answer:
English people often say: 'A dog is a man's
best friend', and I agree.
I live with my parents on a farm in the country It is a long way from my school, and I haven't got any
brothers or sisters, so I am often alone.
My dog, Bella, is like a best friend to me. When I am at home, she
is with me all the time.She follows me arond the house, and she sleeps next to my bed at night. Bella always wakes up early in the
morning. She has lots of energy and she likes to play. We usually get
up at 6 a.m. and walk in the fields behind my house.
Of course, Bella doesn't talk to me, but she always looks at me
and concentrates when I talk to her. I think she knows when I am happy and when I am sąd. She always knows how
to make me feel better.
When I come home from school, I sit at my desk and do my
homework."
Bella usually relaxes under the desk. When I finish, she jumps up and we go
out again.English people often say:A dog is man's best friend, and I agree. I live
Answer:
B)129.1
Step-by-step explanation:
see the graph of cos