Decimals can be written in fraction form. To convert a decimal to a fraction, place the decimal number over its place value. For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, 6/10. If needed, simplify the fraction.
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
Answer:
17
Step-by-step explanation:
Answer:
The hypotenuse is 17.
Step-by-step explanation:
a^2+b^2=c^2.
Let's plug in a and b.
15^2 + 8^2 = c^2
Simply.
225+64=c^2
Add.
289=c^2.
Square 289 and c^2 to cancel out the ^2.
17=c
The hypotenuse is 17.
Hope I helped. :)
A glue company needs to make some glue that it can sell for $120 per barrel. It wants to use 150 barrels of glue worth $100 per barrel, along with some glue worth $150 per barrel and glue worth $190 per barrel. It must use the same number of barrels of $150 and S190 glue. How much of the $150 and $190 glue will be needed? How many barrels of $120 glue will be produced
which of the following statements must be true based on the diagram below? Select all that apply.
PLEASE HELP. WILL GIVE BRAINLIEST.
Answer:
t is a right angle q is a vertex of a right angle
How many rows would be returned from a cross join of tables A and B, if A contains 8 rows and B contains 18
The number of rows that would be returned from the cross join of tables A and B is 144 rows.
The cross join of table A and table B is the cartesian product of A and B.
Since table A = 8 rows and table B = 18 rows, the cartesian product of the rows is 8 × 18 = 144 rows.
So, the number of rows that would be returned from the cross join of tables A and B is 144 rows.
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2.
Which is the solution of the system of equations?
y = x - 4
y = -3x
A. (3, -1)
B. (-3, 1)
C. (-1, 3)
D. (1,-3)
Please explain
Answer:
x = 1
y = -3
Step-by-step explanation:
There are 2 ways, in this case the best way is by substitution so:
y = x - 4
y = -3x
basically you replace one of the unknown numbers in one of the equations so the equation will have only one unknown number.
y = -3x
so that means that
-3x = x - 4
you solve the equation:
-3x - x = -4
-4x = -4
x = -4 : -4
x = 1
Now we know that x is 1 so now we find out what is y
y = 1 - 4
y = -3
What is the average rate of change of the function f(x)=120(0. 1)x from x = 0 to x = 2? Enter your answer, as a decimal, in the box. Do not round your answer.
The average rate of change of the function is -59.4
The formula for calculating the rate of change of the function is expressed as:
[tex]f'(x)=\frac{f(b)-f(a)}{b-a}[/tex]
Given the function
[tex]f(x)=120(0.1)^x\\f(0) = 120(0.1)^0\\f(0)=120\\[/tex]
Get the value of f(2)
[tex]f(2)=120(0.1)^2\\f(2) = 120(0.1)^2\\f(2)=1.2\\[/tex]
Substitute into the formula to have:
[tex]f'(x)=\frac{1.2-120}{2-0}\\f'(x)=\frac{118.8}{2} \\f'(x)= -59.4[/tex]
Hence the average rate of change of the function is -59.4
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The speed of sound is approximately 720 miles per hour at sea level. At this rate, how many feet does it travel in 20 seconds? Use 1 mile=5280 feet.
Answer: 21120 feet.
Step-by-step explanation: We start with the fraction 1/180, found by putting 20 seconds over one hour. Then, we need to get the amount of miles the speed of sound travels in 20 seconds. We can use the fraction above as a ratio to get it. 720/1 x 1/180 = 4 miles. Then, we'll just do 4 times 5280, which is 21120.
The distance travelled by sound in 20 seconds is 21120 feet.
What is speed?In unit time the distance covered by any object is called speed.
In mathematical term, Speed is express as S=D/T,
where S=speed, D=distance, T= time.
Given that,
The speed of sound = 720 miles per hour.
According to given condition,
1 hour = 720 miles
Since, 1 hour = 60 minutes
60 minutes = 720 miles
1 minute = 12 miles.
1 minute = 60 seconds
60 second = 12 miles
1 second = 12 / 60 = 1/5 miles
20 second = 20 / 5 = 4 miles
According to given condition,
1 mile = 5280 feet
Therefore,
20 second = 5280 x 4 = 21120 feet
The distance travelled in 20 seconds is 21120 feet.
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Please help me with this
Step-by-step explanation:
such an equation is a simple linear function :
y = ax + b
b is in this case the flat fee, and a (the slope) drives the incline of the function for various numbers of students x.
our job is now to find the correct a and b values.
we do this by using the informative we have and create 2 equations for a and b, and then we solve this system.
132.5 = a×25 + b
145 = a×30 + b
now, we can use a little trick and simply subtract the whole first equation from the second equation.
145 = a×30 + b
- 132.5 = a×25 + b
------------------------------
12.5 = a×5 + 0
5a = 12.5
a = 2.5
with this we go into one of the original equations, e.g. the second one :
145 = 2.5×30 + b = 75 + b
70 = b
so, it full equation is
y = 2.5x + 70
the costs for 85 students are
y = 2.5×85 + 70 = 212.5 + 70 = $282.50
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The Correct choice is ~
[tex]\boxed{y = \bigg({\dfrac{1}{2} \bigg) }^{x - 3} + 1}[/tex]
[tex]\\ \sf\longmapsto y=\left(\dfrac{1}{2}\right)^{x-3}+1[/tex]
Graph attached
Help please i need it fast
Answer:
(0,0) (3,2) and (-2,-2) (4,2)
Step-by-step explanation:
To find the slope, you do [tex]\frac{y_{1}-y_{2} }{x_{1}-x_{2}}[/tex], which would work for both.
2-0/3-0=2/3
2-(-2)/4-(-2)=2+2/4+6=2/3
Which expression is equivalent to StartFraction RootIndex 7 StartRoot x squared EndRoot Over RootIndex 5 StartRoot y cubed EndRoot
Answer:
Option A
Step-by-step explanation:
An article marked at 1,200 is sold an 8% discount find the s.p of the article?
Mary is a lawyer who has an annual salary of $ 147,362. She has to pay
state income tax of 8%. What is the amount that Mary pays in state
income tax?
A $ 12,365.96
B) $ 11,788.92
C)$ 11,788.96
D $ 12,365.92
Answer:
3
Step-by-step explanation:
To calculate the amount that Mary pays in state income tax, we need to find 8% of her annual salary.
Given that Mary's annual salary is $147,362, we can calculate the state income tax as follows:
State Income Tax = (8/100) * Annual Salary
State Income Tax = (8/100) * $147,362
State Income Tax = $11,788.96
Therefore, Mary pays $11,788.96 in state income tax.
The correct answer is C) $11,788.96.
[tex]\huge{\mathcal{\colorbox{black}{\textcolor{lime}{\textsf{I hope this helps !}}}}}[/tex]
♥️ [tex]\large{\textcolor{red}{\underline{\texttt{SUMIT ROY (:}}}}[/tex]
How many times does it intersect on the graph? y=x^2+3x-2, y-x=4
Need help really quick look at the picture thank you soooooooo,, muchh
Answer:
The answer would be -7/12
Step-by-step explanation:
Use math.way itll help you tremendously :)
Simplify (5p+1.49)-(2p+6.49)
Thank you!
Help me please with this question
Find the perimeter. Simplify your answer.
Answer:
6z-30 :D
Step-by-step explanation:
Step-by-step explanation:
The perimeter of a square is just all the sides added up together. To do this we can make an equation.
2(z-5) + 2(2z - 10)
This represents two sides with different lengths two times. To solve, you first use the distributive property to multiply z-5 by 2.
2z - 10 + 2(2z - 10)
We then use the distributive property by multiplying 2z - 10 by 2.
2z − 10 + 4z − 20
We then combine 2z and 4z to get 6z.
6z − 10 − 20
Subtract 20 from 10 to get -30.
6z-30.
Please helppppp
Reagan solved 5.25 = 5 and got 105. What did Reagan do wrong?
Answer:
He did not simplify correctly and forgot to place the decimal point correctly.
Step-by-step explanation:
To simplify the equation, one needs to divide both sides of the equal sign by 5.
i.e 5.25/5=5/5
Here we find 1.05=1
Note the placement of the decimal point.
When ordering pizzas, 5 pizzas cost $60. Does this mean 9 pizzas will cost $100? Write a proportion and use cross products.
Answer:
108$.
Step-by-step explanation:
Write a unit rate for the situation.
270 miles in 6 hours
Answer:
45 miles per hour. 270 divided by 6 is 45 there.
Step-by-step explanation:
CAN SOMEONE HELP ME PLEASE ASAP!
Answer:
P and R
Step-by-step explanation:
P and R are similar because R is the same thing as P but 2 times bigger.
Can an object be reflected over a line and not move positions?
No, an object can't be reflected over a line without changing its position.
What is Reflection?A Reflection is a transformation representing a flip of a figure.
Given that an object can be Reflected over a line without moving its position,
There are certain rules for reflection of figures,
(x, y) → (x, -y)(x, y) → (-x, y)(x, y) → (y, x)(x, y) → (-y, -x)Using these rules, a point is reflected, so it's not possible for an object to be reflected without changing position.
Hence, an object can't be reflected over a line without changing its position.
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PLEASE HELP i will give brainliest no links
Answer:
y=5x
Step-by-step explanation:
y=ax
use any value of x and y from the table
I chose (2,10)
10=2a
10/2=a
a=5
a
Piper is going to use a computer at an internet cafe. The cafe charges $0.60 for every
minute using a computer on top of an initial charge of $6. Make a table of values and
then write an equation for C, in terms of t, representing the total cost of using a
computer for t minutes at the internet cafe.
Number of Minutes Total Cost to Use Computer
0
1
2
3
$6.60 because 6.00 + 0.60 = 6.60
leana has left a mug of hot tea on the counter to cool off so she can drink it safely. She watches the steam rising up out of the tea. Which type of thermal energy transfer is occurring as the steam rises into the surrounding air?
Group of answer choices
conduction
sublimation
convection
radiation
The type of energy transfer that Leana is seeing as a result of steam rising is radiation.
Radiation is:
A method of energy transfer Works best in gas or open space between materialsThe steam rising from the tea is energy and it shows energy moving from the tea to the air. There is space between the tea and the air which means that it is radiation that the energy transfer is using as a conduit.
In conclusion, this statement describes radiation.
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Hayley learned a total os 13 appetizer recipes over the course of three weeks of culinary school. how many weeks does she need to complete to have learned 21 appetizers ?
Answer:
5 would be the answer.
Step-by-step explanation:
13 divided by 3(weeks) = 4.3
4.3 x 5 = 21.
= 5.
Does the table below represent a direct variation? Explain how you can tell.
x y
-2 -10
-1 -8
0 -6
1 -4
Twice a number diminished by seven
A) 7x - 2
B) 2x + 7
C)2x - 7
D) 7x + 2
PLZ HELP IM NOT SURE WITH MY ANSWER π-π
Answer:
2x-7
Step-by-step explanation:
let the no be X
twice the no =2X
diminished by 7= 2X-7
Answer:
C)2x - 7..................
Solve the system of equations by substitution.
3/8x + 1/3y = 17/24
x + 7y = 8