which of the following expressions are equivalent to 16/5?
choose all answers that apply:
Answers
Answer:
None of the above.
Step-by-step explanation:
16/5 is equal to 3.2
If you calculate a.) The answer comes out to negative so no
b.) Answer comes out to negative again so no
C.) None of the above YES
Because none of them have a positive outcome like the original
Related Questions
Simplify the expression, (4-3i)(-3+6i)-(2-i)
Answers
Answer:
(4-3i)(-3+6i)-(2-i)=
1i×9i-1i=
9i-1i=
8i
A new car is purchased for 24900 dollars. The value of the car depreciates at 6.75% per year. To the nearest tenth of a year, how long will it be until the value of the car is 15900 dollars?
Answers
Answer:
5.5 years
Step-by-step explanation:
24900 times 6.75% = 1,680.75
so this is how much it goes down per year, but we have to find it were the price reaches 15900. so 9000-1680.75=
7,319.25( one year)
7,319.25-1680.75 = 5,638.5 (second year)
5,638.5-1680.75= 3,957.75 (third year)
3,957.75-1680.75 = 2,277 (fourth year)
2,277-1680.75= 596.25 (fifth year)
Answer:
the correct answer would be 5.5
Step-by-step explanation:
I solved it and got it correct on the test
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
Answers
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].
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?
Answers
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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solve for z (show your work)
Answers
Answer:
z=-3
Step-by-step explanation:
combine like terms then solve
A recipe asks for 6 1/4cups of flour.
How many cups of flour are needed to make 1/2 of a recipe?
Express the answer in simplest form.
Enter the answer in the box.
Answers
Hope it works!
Eric sells boxes of cookies for $8 each. Yolanda sells boxes of cookies for $10. Each of them sold the same dollar amount. How many boxes did Eric sell
Answers
Answer:
If Eric sells boxes of cookies for $8 each, and Yolanda sells boxes of cookies for $10 each, and they made the same amount of money, then Eric sold 5 boxes.
Step-by-step explanation:
To solve this problem, you must find the lowest common multiple of eight and ten. That would be 40, which is how much they both made. $40 / $8 per box = 5 boxes.
...And you don't need to know this, but Yolanda sold 4.
Okay so I asked my teachers to help me but they can't figure it out :>
Answers
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:
The highway from Alton to Beasley is 250 miles long, and 3/10 of the miles are in Foster County. Of the portion of miles in Foster County, 2/5 of them are in Vista Township. How many miles of the highway are in Vista Township? (PLEASE ANSWER FAST!!)
Answers
Answer and explanation:
Find attached
1 A student whose eye level is 182 cm from the ground observed the top of their house at
an angle of elevation of 32 at point A She walked for 20m towards the house along a
straight road to a point B where she observed the top of the building again at an angle of
elevation of 40 Calculate corect to 2 decimal places the-
(a) Distance of A from the bouse
(3mks)
(b) The height of the house
(2mks)
2. Given that an X=5/ 12 find the value of the following without using mathematical tables or
calculator
(a) Cos x
(2mks)
(b) Sin (90-x)
2mics)
Answers
Answer:
Question 1)
[tex]\text{ Distance from A to the house is approximately 78.34 meters}\\\text{The height of the house is approximately 50.77 meters}[/tex]
Question 2)
[tex]\text{ Part A) \cos(x)=\frac{12}{13}} \\ \text{ Part B) \sin(90-x)=\frac{12}{13} }[/tex][tex]\text{ Part A) }\\\cos(x)=\frac{12}{13}\\\\\text{ Part B)}\\\sin(90-x)=\frac{12}{13}[/tex]
Step-by-step explanation:
Question 1)
Please first reference below for the image.
Also recall the basic trigonometric functions with SohCahToa.
Part 1)
In order to find the distance, we will need to find the value of [tex]x[/tex]. However, to do so, we must find the value of [tex]c[/tex] first.
First, we will need to find BM. We can use the smaller triangle. BM is opposite of the smaller triangle, and we already know that the hypotenuse is 20 meters. So, we can use sine:
[tex]\sin(A)=\frac{\text{opp}}{\text{hyp}}[/tex]
Substitute 32° for A and 20 for the hypotenuse. Our BM is our opposite, so substitute BM for opposite. This yields:
[tex]\sin(32)=\frac{BM}{20}[/tex]
Solve for BM. Multiply both sides by 20:
[tex]BM=20\sin(32)[/tex]
Don't approximate just yet. In order to make our answer to most precise, we will approximate at the very end.
So, BM is 20sin(32) meters. BM of the smaller triangle is the same as BM of the larger triangle, so BM of the larger triangle is also 20sin(32). Now, we can find the value of [tex]c[/tex]. However, we will first need to find the value of [tex]\angle MBT[/tex]. To do so, notice that [tex]\angle ABM, \angle MBT, \text{ and } 40\textdegree[/tex] form a straight angle. Therefore:
[tex]\angle ABM+\angle MBT+40^\circ=180[/tex]
Simplify:
[tex]\angle ABM+\angle MBT=140[/tex]
So, we will need to find [tex]\angle ABM[/tex], which is [tex]\angle B[/tex] of the smaller triangle. So, we can use the trig functions again. Since we now know BM, we can use cosine. So:
[tex]\cos(B)=\frac{\text{adj}}{\text{opp}}[/tex]
Substitute 20sin(32) for the adjacent and 20 for the opposite. So:
[tex]\cos(B)=\frac{20\sin(32)}{20}[/tex]
To solve for B, take the inverse cosine of both sides. Evaluate:
[tex]B=\cos^{-1}(\frac{20\sin(32)}{20})=58^\circ[/tex]
Therefore, we can substitute 58 for [tex]\angle ABM[/tex] and solve. This yields:
[tex]58+\angle MBT=140\\\Rightarrow\angle MBT=82^\circ[/tex]
So, we can now find c. We know BM and that [tex]\angle B[/tex] (of the larger triangle) is 82°. To find c, then, we will use cosine. So:
[tex]\cos(B)=\frac{\text{adj}}{\text{hyp}}[/tex]
Substitute 82 for B, 20sin(32) for the adjacent BM, and c for the hypotenuse. So:
[tex]\cos(82)=\frac{20\sin(32)}{c}[/tex]
Solve for c by cross-multiplying:
[tex]c=\frac{20\sin(32)}{\cos(82)}[/tex]
Now, finally, we can solve for [tex]x[/tex]. We know [tex]c[/tex] (the hypotenuse) and we want to find [tex]x[/tex]. We also have an angle of 40°. So, we can use cosine:
[tex]\cos(40)=\frac{x}{c}[/tex]
Multiply both sides by [tex]c[/tex]:
[tex]x=c\cos(40)[/tex]
Substitute [tex]c[/tex]:
[tex]x=\frac{20\sin(32)\cos(40)}{\cos(82)}[/tex]
Approximate:
[tex]x\approx58.34\text{ meters}[/tex]
However, this is only [tex]x[/tex]. The distance from the house is [tex]x+20[/tex]. Therefore, the distance from the house is:
[tex]d\approx58.34+20\approx78.34\text{ meters}[/tex]
Part 2)
We want to find the height h. Since we already determined [tex]c[/tex], we can use it to find [tex]h[/tex]. We will use the sine function this time:
[tex]\sin(40)=\frac{h}{c}\\\Rightarrow h=c\sin(40)\\\Rightarrow h=\frac{20\sin(32)\sin(40)}{\cos(82)}\\\Rightarrow h\approx48.95[/tex]
However, we will still need to add the eye level of 182 centimeters or 1.82 meters. So:
[tex]h\approx48.95+1.82\approx50.77\text{ meters}[/tex]
The height of the house is approximately 50.77 meters.
Question 2)
We know that: [tex]\tan(x)=\frac{5}{12}[/tex]
Remember that tangent is the opposite side over the adjacent side. So, let's find the hypotenuse. We can us the Pythagorean Theorem:
[tex]a^2+b^2=c^2[/tex]
Substitute 5 for a and 12 for b. Solve for c:
[tex]c^2=(5)^2+(12)^2\\\Rightarrow c^2=25+144\\\Rightarrow c=\sqrt{169}=13[/tex]
So, our hypotenuse is 13, our adjacent is 12, and our opposite is 5. We can now solve for the others:
A)
[tex]\cos(x)=\frac{\text{adj}}{\text{hyp}}\\\Rightarrow\cos(x)=\frac{12}{13}[/tex]
B)
[tex]\sin(90-x)=\cos(x)\\\text{Note: This is a cofunction identity}\\\Rightarrow\sin(90-x)=\frac{12}{13}[/tex]
Note: The document I found said [tex]\sin^2(90-x)[/tex]. Anyways, it will just be: [tex]\sin^2(90-x)=\frac{144}{169}[/tex]
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.
Answers
The answer is three
Step-by-step explanation:
75 plus 160 is 235 and 235+235+235= 705
HIGH SCHOOL
od knowledge Matters
Spotting the opportunity Math Quiz
QUESTION 3 of 10: There are about 30.2 million small businesses in the United States and about 30,000 other larger businesses. What
percent of all businesses in the U.S. are small businesses?
a) 30%
b) 99%
c) 99.9%
d) 100%
Submit
Answers
Answer:99.9
Step-by-step explanation:
The percent of small businesses to all businesses is equal to 99.99%.
It is given that there are about 30.2 million small businesses and about 30000 large businesses.
We have to find out what percent of all businesses in the U.S. are small businesses.
What do you mean by percentage ?
A percentage is a number or say ratio that can be expressed as a fraction of 100.
As per the question ;
The approximate number of small businesses is ;
= 30.2 million
= 30200000
The number of large businesses is ;
= 30000
Total number of businesses will be ;
= 30200000 + 30000
= 30230000
The percent of small businesses to all businesses ;
= [tex]\frac{30200000}{30230000}[/tex] × 100 %
= 0.999 × 100 %
= 99.99 %
Thus , the percent of small businesses to all businesses is equal to 99.99%.
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What value of m makes this equation true?
m/4-3 = 9
Drag and drop the number that correctly completes the equation
Answers
Answer:
m = 9
Step-by-step explanation:
m/4-3=9
m/(4-3)=9
m/1=9
m=9
Each square below represents one whole.
What percent is represented by the shaded area?
Answers
Answer:
152%
Step-by-step explanation:
There is one whole grid shaded = 100%
The other grid has 13/25 shaded. This is the same as 52/100=52%
100+52=152%
Answer: 152%
Step-by-step explanation: To easy please like
2x+y=7 solve for y. what is the answer?
Answers
Answer:
Step-by-step explanation:
There is no numeric answer, or there are many.
y = 7 - 2x is the first answer that you have to get.
Now you are away. The domain is anything.
The range (the y value) is also anything.
Which expression is equivalent to 3/6 divided by 7/9
Answers
Answer:
9/14
Step-by-step explanation:
3/6 / 7/9
3/6 * 9/7
3/2 * 3/7
9/14
Describe what you think "domain" means
Answers
Answer:
the set of possible values of the independent variable or variables of a function.
Step-by-step explanation:
Answer:
All the x-values in the ordered pairs together make up the domain
Step-by-step explanation:
What’s 6/5 divided by -3/2
Answers
Answer:
-4/5
Step-by-step explanation:
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
Answers
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
combine like terms
5x + X =
Answers
Answer:
6x
Step-by-step explanation:
5x + x = ?
5x + x = 6x
This is because x means 1x
Answer:
Today: Monday, 12 October 2020
Hour: 09.15 WIB (in Indonesian)
_________________________
5x + x =
x = 1
5x + x = 6x
Help please...........
Answers
Answer:
It would be positive, zero, negative, and undefined (the first answer).
Hope this helps!
help please! step by step if possible
Answers
9514 1404 393
Answer:
use the formula for slope2/3Step-by-step explanation:
The formula for slope (m) of a line between two points is ...
m = (y2 -y1)/(x2 -x1)
Pick two points from the table and fill in the values. Using the last two table entries, we have ...
m = (7 -5)/(5 -2) = 2/3
The slope is 2/3.
math thanks ik u like math
Answers
Answer:
775/25
Step-by-step explanation:
(2x + 19)°
(3x + 8)°
How do I solve it?
Answers
The answer is 11° . U can see answer step by step in above picture.
Thank you ☺️☺️
Answer: X=11
(2x+19)=(3x+8)
-2x -2x
19=(x+8)
-8 -8
11=x
− 125/7 simplified
answer and I give brainliest math
Answers
Which expression is equivalent to -2y+10x−2y+10x?
Answers
Answer:
-4y + 20x
Step-by-step explanation:
You are considering a certain telephone company. They charge $0.19 per minute of talking, plus a fixed base monthly fee of $70. If M represents the number of minutes you talk in a month, and C is the total monthly charge, which of these is the correct relationship between M and C?
Answers
Answer:
.19m+70=c
Step-by-step explanation:
.19m represents $0.19 per minute
+70 represents the fixed monthly fee
so you'd multiply the minutes by 19cents and add the $70 to find cost per month
this is the question
Answers
Answer:
v: the answer is 43/48
Step-by-step explanation:
The question is on the screenshot
Answers
Answer:
green
Step-by-step explanation:
6. Evaluate 81^1/2
Helpp pleasee
Answers
Answer:
9
Step-by-step explanation:
81^1/2 is actually √81
square root of √81 is 9
Pls mark me as brainliest