Step-by-step explanation:
[tex]1 \frac{13}{20} [/tex]
[tex]4x \3 = 11 \5 \\ \\ 20x = 33 \\ x = 33 \div 20 \\ = 1 \frac{13}{20} [/tex]
The following triangle shows the length of each side using expressions.
2n +7
2n +7
3n
a. Write an expression in simplest form to represent the perimeter of the triangle above. Show all work.
b. If n = 8, find the perimeter of the triangle. Show all work.
- Mt. Everest is considered the tallest mountain in the world at 8,848 meters above sea level. In fact, the forgest
mountain in the world is Mauna Loa, in Hawai'i, Mauna Loa rises 4, 170 meters from sea level to the top of the
summit, but its base is deep under water. The base of the mountain is at -5,000 meters,
A probe is dropped 7, 500 meters straight down into Mauna Los from its summit.
At what height is the probe, relative to sea level?
meters
How far is the probe from the base of the volcano?
meters
Answer: 10000
A.) 4170m above sea level ;3330m below sea level
B) 1670 m from the base.
Step-by-step explanation:.
Given that:
Mauna Loa :
4,170 meters (from sea level to summit)
-5000 meters (base of mountain to sea level)
Depth of probe dropped from summit of Mauna Loa = 7500 m
Height of probe relative to sea level :
Depth of probe - height of Mauna Loa(from sea level to summit)
7500 m - 4170 m = 3330 m
Hence, height of probe relative to sea level :
4170m above sea level
3330m below sea level
Distance of probe from base of volcano:
Total depth of Mauna Loa = (4170 + 5000) = 9170m
Total depth of probe = 7500 m
Distance of probe from base :
9170 - 7500 = 1670 m
The probe is 1670 m from the base of the volcano.
What is the rate of change of y with respect to x for 25x - 4y = 50 ?
Answer:
25/4Step-by-step explanation:
The change of y with respect to x is known as the slope of the line. The standard form of the equation is y = mx+c where m is the slope.
Given the equation 25x - 4y = 50, we need to make y the subject of the formula before we get the slope as shown;
25x - 4y = 50
-4y = -25x+50
Divide through b y -4
-4y/-4 = -25x/-4 + 50/-4
y = 25/4 x - 25/2
Comparing with y = mx+c
mx = 25/4 x
m = 25/4
Hence the rate of change of y with respect to x is 25/4
The rate of change of y with respect of x for the given equation is [tex]\frac{25}{4}[/tex].
Given the equation:
[tex]25x - 4y = 50[/tex]
The rate of change = the slope of the line
To determine the slope of 25x - 4y = 50, rewrite the equation in slope-intercept form. i.e. [tex]y = mx + b[/tex]Where, slope = mThus,[tex]25x - 4y = 50[/tex]
Add 25x to both sides of the equation[tex]25x -25x - 4y = - 25x + 50\\\\-4y = - 25x + 50[/tex]
Divide both sides by -4[tex]\frac{-4y}{-4} = \frac{-25x}{-4}+ \frac{50}{-4}\\\\y = \frac{25}{4}x - \frac{25}{2}[/tex]
Therefore, the rate of change of y with respect of x for the given equation is [tex]\frac{25}{4}[/tex].
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Type only a number for your answer
Answer:
x = 80
Step-by-step explanation:
x + 30 = 110 (opposite sides are congruent/equal)
x = 110 - 30 (subtract the 30 from both sides to get X by itself)
x = 80 (simplify)
Write a cubic function whose graph passes through the points (-4,0)(4,0)(0,6) and (2,0)
Answer: 3/16(x+4)(x-4)(x-2)
Step-by-step explanation:
quadratic formula:
3x^2+2x-4=0
Answer: i hope this helps!
URGENT!! WILL MARK BRAILIEST! GOD BLESS. PLEASE SHOW ALL WORK. The age of Vicky and Krishna total 27 years. In 4 years, Krishna’s age plus twice Vickey’s age will be 43. What are Vickey and Krishna’s ages?
9514 1404 393
Answer:
Vickey is 4Krishna is 23Step-by-step explanation:
Let v represent Vickey's age now. Then Krishna's age now is 27-v. In 4 years, the sum of their ages is ...
(27 -v +4) +2(v +4) = 43
27 -v +4 +2v +8 = 43 . . . . eliminate parentheses
v +39 = 43 . . . . . . . . . . . . . collect terms
v +39 -39 = 43 -39 . . . . . . subtract 39 from both sides
v = 4 . . . . . . . . . . . . . . . . . simplify; this is Vickey's age
27 -v = 23 . . . . . Krishna's age
Vickey's age is 4; Krishna's age is 23.
what is 3x+4/5 = 7-2x
Answer:
..jkbiuhlihuhiuuhi
Step-by-step explanation:
kguykguyufkyugyyguygyggkuy
−3x+8<15 please help
Answer:x<-7/3
Step-by-step explanation:
Answer: X > -7/3
Step-by-step explanation:
-3x + 8 < 15
subtract 8 from both sides
-3x < 7
divide by negative 3
Also, when dividing or multiplying by a negative you flip the sign.
x > -7/3
Answer :)
A sprinter travels a distance of 100 m in a time of 11.21 seconds.
What is the sprinter's average speed rounded to 4 sf?
Answer:
distance travelled by sprinter = 100 m
Time taken = 11.21sec
∵speed = distance/time taken
= 100/9.83
= 10.17 m/s
Now we know, 1 km/h = 1000/3600 m/s
so, 1 m/s = 3600/1000 km/h = 18/5 km/h
∴ 10.17 m/s = 10.17 × 18/5 = 10.17 × 18/5 = 36.612 km/h
Hence, average speed = 36.612 km/h
Step-by-step explanation:
Answer:
distance travelled by sprinter = 100 m
Time taken = 11.21sec
Hence, average speed = 36.612 km/h
Step-by-step explanation:
I need help plz like ASAP
I will give you a Brainist if you answer first
Answer:
Step-by-step explanation:
The proportion of x/y is 8/1. And to solve your question the value of y when x is 10 is 1.25 .
A block of cheese has a volume of 189 cm3 and a mass of 150 g.
What is the density of the cheese in g/cm3 rounded to 2 decimal places?
ill do u brainlist who ever answers first
it is due in very soon and i don’t wanna fail math. can someone plz help. :/
Answer:
y= -1 , 0 , y = -2
x= 10 , infinity , x = 7
x= -4 , infinity , x= 7
solve this please!!!!!
11. Choose the correct solution and graph for the inequality.
Y+1/5>1/3
Answer:
[tex]y > \frac{2}{15} [/tex]
I need someone’s help please I don’t know this that well
Answer:
raiz de 84 = 9.16
Step-by-step explanation:
la ubicacion que debes de poner es en la primera linea que te anexe en la linea
Last week at Best Bargain, 20% of the computers sold were laptops. If 70 computers were sold last week, how many were laptops?
Solve y - 4 = 3x + 5y for y
Answer:
y=3x+8
Step-by-step explanation:
y-4=3x+5y
+4 +4
y=3x+5y+4
-5y -5y
-4y=3x+4
+4 +4
y=3x+8
is y=.75x+2 proportional or non proportional
Answer:
non proportional
Step-by-step explanation:
What is the answer I got it wrong
Answer:
-1/2
Step-by-step explanation:
It’s y2 - y1 over x2-x1
- 2 - 3
— - -—-
6 - (-4)
= -5/10
= -1/2
Answer: 1/2
Step-by-step explanation:
Complete Eduardo's definition of parallel lines: "If two coplanar lines are both perpendicular to a third line in the same plane, all of the angles formed between the two lines and the third line are "Explain your answer.
what is the value of this expression below when y=5 and z=3
10y-6z
Answer:
32
Step-by-step explanation:
The numbers and letters next to each other mean multiplication. Plus, we already know the values of y and z, so all you have to do is simplify the equation. 10y turns into 10 x 5, and 6z turns intro 6 x 3. So now the equation is 50 - 18, which equals 32. Hope this helps!
Value of expression 10y -6z if y = 5 and z = 3 = 32
What is an expression?An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.). Expressions are made up of terms.
Given
value of y = 5
value of z = 3
expression 10y - 6z
Putting value of y and z in the expression
10(5) - 6(3)
= 50 - 18
= 32
Hence, 32 is the value of expression 10y -6z if y = 5 and z = 3.
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Use intercepts to graph the line described by the equation 5x − 5y = 10.
At a basketball game 64% were supporting the visiting team. If total number of people attending h the e game was 2000, how many people were supporters of the home team
Answer:
720
Step-by-step explanation:
0.64 x 2000 = 1280
2000 - 1280 = 720
No. of people supporting the home team out of 2000 people is 720.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, At a basketball game, 64% were supporting the visiting team.
The percentage of people supporting the home team is
(100 - 64)% = 36%.
Now, Total number of people who came to watch is 2000.
∴ No. people supporting the home team is,
= (36/100)×2000.
= 36×20.
= 720 people.
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which expression is equal to 5/2? Write a situation that could represent the fraction above.
Answer:
3/2 + 2/2. A teacher has to give 2 pencils to one student. 1 student gives him 3 pencils, another student give him 2 pencils. How much pencils does the teacher have?
Step-by-step explanation:
All you do is you find a problem that would give you 5/2 then create a word problem.
How much do you need to subtract from 43/10 to make 4?
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[tex] \frac{43}{10} - x = 4 \\ [/tex]
[tex] \frac{43}{10} - x = \frac{40}{10} \\ [/tex]
Subtract sides 43 / 10
[tex] - \frac{43}{10} + \frac{43}{10} - x = - \frac{43}{10} + \frac{40}{10} \\ [/tex]
[tex] - x = \frac{ - 43 + 40}{10} \\ [/tex]
[tex] - x = - \frac{3}{10} \\ [/tex]
Negatives simplifies
[tex]x = \frac{3}{10} \\ [/tex]
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Thus we need to subtract
[tex] \frac{3}{10} \\ [/tex]
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Answer:
83/10
Step-by-step explanation:
let x represent the number:
43/10 - x = 4
x = 4 + 43/10
simplifying the answer:
x = (4(10) + 43)/10
x = (40 + 43)/10
x = 83/10
In the equation a= 3/b is a positive, real number. As the
value of b is increased so it becomes closer and closer to
infinity, what happens to the value of a ?
Answer:
The value of a tends to zeroStep-by-step explanation:
Given the expression a = 3/b
as the denominator of the of the expression b increases the value of the output is known to be decreasing. if the value of b now goes so large to become an infinite, value then the value of a will goes to zero as shown;
If b = ∞
a = 3/∞
a = 0
Note that for any constant value a, the ratio a/∞ will always tends to zero
The following graph shows the proportional relationship between the cost and duration of a car rental.Which statements about the graph are true?
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
A
The yyy-coordinate of point AAA represents the total cost of a 555-day car rental.
(Choice B)
B
The total cost of a 222-day car rental is \$90$90dollar sign, 90.
(Choice C)
C
None of the above
Answer:
The y-coordinate of point A represents the total cost of a 5-day car rental.
Step-by-step explanation:
How much will Ashley’s plan cost for the same number of texts as when Jumel’s costs $75? Show your work and write your answer in a sentence.
Please help me out
Answer: In order to begin figuring that out, we need to know how both of their plans work.
The local cable company charges $90 per month for basic cable and $12 per month
for each additional premium cable channel. The function cx x ( ) = + 90 12 represents
the monthly charge (in dollars), where x represents the number of additional premium
channels. How many additional premium channels would you have ordered if your bill
was $114 per month?
Answer:
Two additional premium channels were ordered
Step-by-step explanation:
Linear Modeling
It consists of describing a real situation with a mathematical function that corresponds to a straight line.
An example is the described situation where the cable company charges $90 per month for basic cable and $12 for each additional premium cable channel.
The linear model for the charges of the company is:
c(x) = 90 + 12x
Where x is the number of additional premium channels.
Knowing that one month the charge was $114, we can find x:
114 = 90 + 12x
Subtracting 90:
114 - 90 = 12x =24
Dividing by 12:
x = 24/12
x = 2
Two additional premium channels were ordered