Answer: 3.75
Step-by-step explanation:
The following can be gotten from the question:
Time taken for each session = 4/5 hours
Total time set aside by principal = 3 hours
The number of sessions that can be sheduled for each student will be:
= Total time set aside by principal / time taken for each session
= 3 hours / 4/5 hours
= 3 × 5/4
= 3.75
A squirrel runs across a road in 3 seconds. The road was more than 34 feet wide.
_______________________________________________________
Which inequality can be used to determine the squirrel’s speed?
_____
What is the solution to the inequality? Round to the nearest tenth, if necessary.
_____
How can you interpret the solution?
_____
_______________________________________________________
A) 3r > 34,
3r 34
r/3 11.3
r 10.2
C) the squirrel ran at least 11.3 feet per second
the squirrel ran faster than 11.3 feet per second
the squirrel ran no faster than 102 feet per second
the squirrel ran slower than 102 feet per second
_______________________________________________________
Answer:
✔ 3r > 34
✔ r > 11.3
✔ The squirrel ran faster than 11.3 feet per second.
Step-by-step explanation:
1. The Squirrel's speed is 3r > 34
2. The solution of the inequality is r > 11.3
3. The interpretation is: The squirrel ran faster than 11.3 feet per second.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Unlike to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
A squirrel runs across a road in 3 seconds.
The road was more than 34 feet wide.
1. The Squirrel's speed is
3r > 34
2. The solution of the inequality is
r > 34/3
r > 11.3
3. The interpretation is: The squirrel ran faster than 11.3 feet per second.
Learn more about Inequality here:
https://brainly.com/question/30231190
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PLEASE HELP QUICKLY
What is the value of y
Answer:
y= 8
Step-by-step explanation:
In a Triangle we know,
W+Y+X=180 degree
then,
(180-52)+(4y-4)+3y=180
or, 128+4y-4+3y= 180
or, 7y= 180- 124
or, y= 56/7
or, y= 8
hope you got it.
2 (x - 2/3) = 0
solve for x
Answer:
x = 2/3
Step-by-step explanation:
2(x-2/3)=0
2x-1 1/3=0
2x=1 1/3
Devide both sides by 2
x=2/3
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Answer:
<A = 117degrees
Step-by-step explanation:
<A and <B are verticle angles, as given. Hence they will be of equal measures. It is given that <A = 5x -3, and <B = 4x + 21.
Using this, set up an equation;
<A = <B
5x - 3 = 4x + 21
Inverse operations,
5x - 3 = 4x + 21
+3 +3
5x = 4x + 24
-4x -4x
x = 24
Now substitute back in, to find the measure of <A,
5x - 3
x = 24
5 ( 24 ) - 3
120 - 3
117
f(x+h) = (x+h)² + 3(x+h)^3
How would I distribute this?
Answer:
f(x + h) = 3x³ + x² + 9h²x + 3h³ + h² + 9hx² + 2hx
General Formulas and Concepts:
Order of Operations: BPEMDASDistributive PropertyExpand by FOIL (First Outside Inside Last)Combining like termsStep-by-step explanation:
Step 1: Define function
f(x) = x² + 3x³
f(x + h) is x = x + h
Step 2: Simplify
Substitute: f(x + h) = (x + h)² + 3(x + h)³Expand by FOILing: f(x + h) = (x² + 2hx + h²) + 3(x + h)³Rewrite: f(x + h) = (x² + 2hx + h²) + 3(x + h)²(x + h)Expand by FOILing: f(x + h) = (x²+2hx+h²) + 3(x² + 2hx + h²)(x+h)Distribute/Expand: f(x + h) = (x²+2hx+h²) + 3(x³+3hx²+3h²x+h³)Distribute 3: f(x + h) = (x²+2hx+h²)+(3x³+9hx²+9h²x+3h³)Combine like terms: f(x + h) = 3x³+x²+9h²x+3h³+h²+9hx²+2hxNoah says that to find 20% of a number he divides the number by 5. For example, 20% of 60 is 12, because 60 - 5 = 12. Complete the
statement about whether Noah's method always works.
His method never
works because multiplying by does not give the same result as dividing by 5.
Answer:
he is correct because 20% is the same thing as 1/5 amd 1/5 is the same thing as dividing by 5
Step-by-step explanation:
Andrew and Kate have $30 to spend on dinner, tax, and gratuity at Mo’s Restaurant. Tax is 6%, and they will give a 15% tip on the total bill after taxes. Their dinner costs $21.00. Which statement correctly explains whether Andrew and Kate have enough money to pay their bill?
Yes. They have enough to pay their bill: 30 dollars times 1.06 = 31 dollars and 80 cents and 31 dollars and 80 cents times 1.15 = 36 dollars and 57 cents.
Yes. They have enough to pay their bill: 21 dollars times 1.06 = 22 dollars and 26 cents and 22 dollars and 26 cents times 1.15 = 25 dollars and 60 cents.
No. They do not have enough to pay their bill: 30 dollars times 1.06 = 31 dollars and 80 cents and 31 dollars and 80 cents times 1.15 = 36 dollars and 57 cents.
No. They do not have enough to pay their bill: 21 dollars times 1.06 = 22 dollars and 26 cents and 22 dollars and 26 cents times 1.15 = 25 dollars and 60 cents
Answer:
Yes. They have enough to pay their bill: 21 dollars times 1.06 = 22 dollars and 26 cents and 22 dollars and 26 cents times 1.15 = 25 dollars and 60 cents.
Answer:
A
Step-by-step explanation:
Tell whether the lines through the given points are parallel, perpendicular, or neither.
Line 1: (5, - 2), (-1,5)
Line 2: (-12, 2), (2,14)
price of 1 kg sugar is rupees 104.25 find the price of 50 kg
Answer:
5,212.5 rupees
Step-by-step explanation:
If price of 1 kg is 104.25
multiply 50 by 104.25
equals 5,212.5 rupees
Answer:
5212.50 rupees
Step-by-step explanation:
We can use a ratio
1 kg 50 kg
----------- = ---------------
104.25 x
Using cross products
1x = 50 * 104.25
x =5212.50 rupees
Solve the following equation by the quadratic formula. x 2 + x - 1 = 0
Answer
x is 1.62 or -0.62
Step-by-step explanation:
Quadratic Formula:
[tex] \boxed{ \bf{x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}}}[/tex]
Given Quadratic Equation:
x² + x - 1 = 0
a = 1 (Quadratic coefficient)
b = 1 (Linear coefficient)
c = -1 (Constant coefficient)
By substituting values in the formula, we get:
[tex] \rm \longrightarrow x = \dfrac{-1 \pm \sqrt{1^2 - 4(1)( - 1)}}{2 \times 1} \\ \\ \rm \longrightarrow x = \dfrac{ - 1 \pm \sqrt{1 + 4} }{2} \\ \\ \rm \longrightarrow x = \dfrac{ - 1 \pm \sqrt{5} }{2} [/tex]
What is the interquartile range of the following data set? 3,8, 14, 19, 22, 29, 33, 37, 43, 49. A. 26 B. 23 C. 19 D. 18
Answer:
I think the answer is B.23
What is the answer to this pre-algebra equation 7x+10=3x+120
Answer:
=[tex]\frac{55}{2}[/tex]
for each graph below, state wether it represents a function.
Answers:
Row 1: No, No, No
Row 2: Yes, Yes, Yes
===============================
Explanation:
Use the vertical line test. If it is at all possible to draw a single vertical line through more than one point on the relation curve, then the relation is not a function. This is because a function is only possible when any x input leads to exactly one y output.
So that's why graphs 1,2,3 are not functions, while graphs 4,5,6 are functions.
Chloe was given a box of assorted chocolates for her birthday. Each night, Chloe treated herself to some chocolates. There were originally 30 chocolates in the box and after 2 nights, there were 24 chocolates remaining in the box. Write an equation for
C
,
C, in terms of
t
,
t, representing the number of chocolates remaining in the box
t
t days after Chloe's birthday.
Answer:
the answer would be
Step-by-step explanation:
i hope this helped
Fill in the missing numbers in these equation
(-2) . (-4.5)= ?
?=
what is the avrage of 4.1 ,6 ,1.3 6.5 ,1.6
Answer:
3.36
Step-by-step explanation:
4.1 +6 +1.3+6.5 +1.6=16.8
16.8/5=3.36
In order to get the answer you add everything up and then divide from the amount of numbers there are.
Answer the question in the photo
Answer:
B and C
Step-by-step explanation:
Both B and C
B)
2/5 = 0.4 (which terminate as decimals)
Similarly
C)
-1/4 = -0.25 (also terminates)
But A and D do not terminate
As for A) 1/3= 0.33333333..........
and for D) 7/9= 0.777777777......
In both cases the decimals are a never ending sequence or in other words does not terminate at all. They are irrational numbers.
Hope you understand. Thank you.
can u tell which is true or false or not enough info
Answer:
I'm going to list the answers below in the explanation.
Step-by-step explanation:
JL = 36 False
ML = 36 True
MP = 48.5 Not enough info
Angle JLK = 102 True
Angle PNK = 102 False
MP || PK False
The only one I'm not 100% positive about is MP = 48.5 but I'm pretty sure!
Good luck and I hope this helps.
9514 1404 393
Answer:
F, T, T, T, T, F
Step-by-step explanation:
PM and PN are "midlines" of the triangle JKL. As such, they are parallel to and half the length of the side of ΔJKL they don't intersect. The relationships of angles and transversals of parallel lines apply. LMPN is a parallelogram, so opposite sides are the same length.
a) JL is not 36, it it twice that. (F)
b) ML is the same length as PN, 36. (T)
c) MP is half of LK, so is 97/2 = 48.5. (T)
d) ∠JLK corresponds to ∠JMP, so is congruent. (T)
e) ∠PNK corresponds to ∠JLK, so is congruent. (T)
f) MP intersects PK at point P, so cannot be parallel. (F)
Please answer correctly !!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!
Answer:
79°
Step-by-step explanation:
A straight line is 180°.
180°-101°=79°
r
–4=-3+
+
10
Answer?
Answer:
r = 11
Step-by-step explanation:
Is the question
r - 4 = - 3 + 10
So what's r
r - 4 = -3 + 10 Combine the right
r - 4 = 7 Add 4 to both sides
r - 4 + 4 = 7 + 4
r = 11
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Answer:
[tex]x=7[/tex]The length of MN = 13The length of NO = 13The length of OM = 13Step-by-step explanation:
As the given triangle is equilateral as all the sides of the triangle are equal.
[tex]MN = 3x-8[/tex]
[tex]NO=2x-1[/tex]
[tex]OM=5x-22[/tex]
As all the sides are equal, i.e.
[tex]MN=NO=OM[/tex]
as
[tex]MN=NO[/tex]
[tex]3x-8=2x-1[/tex]
Add 8 to both sides
[tex]3x-8+8=2x-1+8[/tex]
[tex]3x=2x+7[/tex]
[tex]x=7[/tex]
Hence, the value of x = 7
so putting the value of x to determine the lengths of the
segments MN, NO, and MO
[tex]MN = 3x - 8[/tex]
[tex]= 3(7)-8[/tex]
[tex]=21-8[/tex]
[tex]=13[/tex]
Hence, the length of MN = 13
[tex]NO = 2x-1[/tex]
[tex]=2(7)-1[/tex]
[tex]=14-1[/tex]
[tex]=13[/tex]
Hence, the length of NO = 13
[tex]OM = 5x-22[/tex]
[tex]= 5(7)-22[/tex]
[tex]= 35-22[/tex]
[tex]=13[/tex]
Hence, the length of OM = 13
write 28 + 24 as a product of two factors using the GCF and the distributive property
Answer:
4 x 13
Step-by-step explanation:
GCD of 28 and 24 is 4
28 = 4 x 7
24 = 4 x 6
u take the 4 out
4 (7 + 6)
4 x 13
The product of two factors using the GCF and the distributive property is 4(13).
What is the meaning of the greatest common divisor/factor?
The largest integer of highest degree that is an exact divisor of each of two or more integers.
The greatest common divisor of 24 and 28
24=2×2×2×3
28=2×2×7
We can see that the 2 and 2 is common in 24 and 28
The GCD of 28 and 24 is=2×2= 4
For the distributive property we have
28 = 4 x 7
24 = 4 x 6
we take the 4 out
4 (7 + 6)
=4 x 13
Therefore the GCD is 4 and by distributive property product is 4(13).
To learn more about the product visit:
https://brainly.com/question/10873737
is 1/5 a integer rational irrational or real. (there can be more than one answer)
Answer:
rational
Step-by-step explanation:
A rational number is a number that can be expressed (for example, 1/3 is irrational) Hope I helped! Please mark Brainliest!!!
The populations of Cities A and B are 1.6 x 10^5 and 1,070,000, respectively. The population of City C is twice the population of City B. The population of City C is how many times the population of City A?
Answer:
13
Step-by-step explanation:
First find the population of city c 1,070,000 times 2 = 2140000
Round 2140000 to the nearest hundred thousands = 2,100,000
Third find how many places the decimal moves which is 6 places
Fourth scientific notation of 2,100,00 is 2.1 times 10^6
Fifth divided city c by the population of city a
2.1x 10^6 divided by 1.6 x 10^5
2.1 / 1.6 rounded is 1.3
10^6 divided by 10 ^ 5 is 10
Therefore 2.1 x 10^6 divided by 1.6 divided by 10^5 equals 1.3 times 10 = 13
The population of city c is about 13 times the population of city a
Find the surface area of this cuboid.
3 cm
5 cm
2 cm
Answer:
62 cm^2
Step-by-step explanation:
the sides are 3*5, 3*2, and 2*5, and there are two of each. 3*5 is 15, 3*2 is 6, and 2*5 is 10.
we need to find 15*2, which is 30, 6*2, which is 12, and 10*2 which is 20. then we need to add all of these together, which is 62
Please help
Find the distance between points P(2, 2) and Q(7, 4) to the nearest tenth.
7
5.4
10.8
4.5
Answer:
5.4
Step-by-step explanation:
since they are 5 apart on the x-axis, and 2 on the y-axis. You'd multiply by the power of 2 add both of them together and square root. Giving you about 5.38516 rounding to the nearest tenth of 5.4
Find the value of x.
(5x + 5)
5( x + 1)
I hope this helps:)
(9+7i)+(-5-31) =
add complex numbers
Answer:
4 + 4i
Step-by-step explanation:
Add the real part and add the imaginary part.
9 + 7i + (-5 - 3i) = 9 + 7i - 5 - 3i
= 9 - 5 + 7i - 3i
= 4 + 4i
Answer:
44
Step-by-step explanation:
Okay so we are given (9 + 71) + (-5 - 31).
We need to figure out the value of this expression.
First, let's solve the expression (9 + 71).
1. (9 + 71) = 80.
Now we have 80 + (-5 - 31).
Next, let's solve the expression (-5 - 31).
2. (-5 - 31) = -36.
We're left with 80 + (-36).
Finally, let's add the two numbers together.
80 + (-36) = 44
So (9 + 71) + (-5 - 31) = 44
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Have an excellent day!
what is f(x)=5x-12 what is f(2)?
Answer:
f(2) = -2
General Formulas and Concepts:
Order of Operations: BPEMDASStep-by-step explanation:
Step 1: Define
f(x) = 5x - 12
f(2) is x = 2
Step 2: Solve
Substitute: f(2) = 5(2) - 12Multiply: f(2) = 10 - 12Subtract: f(2) = -2Answer:
f ( 2 ) = - 2
Step-by-step explanation:
Step 1:
f ( x ) = 5x - 12 Function
Step 2:
f ( 2 ) = 5 ( 2 ) - 12 Input x
Step 3:
f ( 2 ) = 10 - 12 Multiply
Answer:
f ( 2 ) = - 2
Hope This Helps :)
Find the value for x
Can somebody help me?
Please
Answer:
1-7 2-6 3-6 4-4
Step-by-step explanation:
To do this, you must notice that all of these are isosceles triangles (2 of the sides are the same.) You already have 1 value on each triangle, and the length of that side is the same length as the side with the unknown value, so those are the correct answers. If I made a mistake, please correct me. Everybody makes mistakes.