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.
What is the answer to this pre-algebra equation 7x+10=3x+120
Answer:
=[tex]\frac{55}{2}[/tex]
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
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
Angel bought a plant and planted it in a pot near a window in his house. The plant grew at a rate of 3 inches per month and its height at the time of purchase was 15 inches. Write an equation for
H
,
H, in terms of
t
,
t, representing the height, in inches, of the plant
t
t months after Angel bought the plant.
H = 15 + 3t, is the equation representing the height, in inches, of the plant tt months after Angel bought the plant.
What is an equation?Equation is a mathematical and physical statement that describes physical occurrences and the relationship between various physical quantities. It usually consists of basic variables that show physical quantities, but it may also point to a personal variable like your energy.
An equation that has a "equal to sign (=)" either reveals the answer or represents the value of the variable. However, since there is no equal sign in the case of an expression, there can be no clear answer and the value of the concerned variable cannot be displayed.
Given that,
H representing the height, in inches, of the plant
t months after Angel bought the plant
Thus, equation becomes: H = 15 + 3t
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Students are making ornaments and each takes 1/4 of a piece of Bristol board. They go to the cupboard and find 2 1/2 pieces of Bristol board. How many ornaments can they make?
Answer: 10 ornaments
Step-by-step explanation:
From the question, we are informed that students are making ornaments and each takes 1/4 of a piece of Bristol board. We are further told that they go to the cupboard and find 2 1/2 pieces of Bristol board.
The number of ornaments that they make will be gotten by dividing 2 1/2 by 1/4. This will be:
= 2 1/2 ÷ 1/4
= 5/2 ÷ 1/4
= 5/2 × 4/1
= 10
They can make 10 ornaments
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 an equation of the line that passes through the points (8, -3) and (8,4)?
Answer:
undefined
x = 0
General Formulas and Concepts:
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
(8, -3)
(8, 4)
Step 2: Find slope m
Substitute: [tex]m=\frac{4-(-3)}{8-8}[/tex]Subtract: [tex]m=\frac{4-(-3)}{0}[/tex]Simplify: m = undefinedNoah 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:
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
68/125 Write a fraction as an equivalent fraction with a power of 10 in the denominator.Then write the fraction as a decimal
Answer:
[tex]\huge\boxed{\dfrac{68}{125}=0.544}[/tex]
Step-by-step explanation:
[tex]\dfrac{68}{125}=\dfrac{68\cdot8}{125\cdot8}=\dfrac{544}{1,000}=0.544[/tex]
(5x^3-3x^4-2x-9x^2-2)+(3x^3+2x^2-5x-7)
Answer:
-3x⁴ + 8x³ - 9x² - 7x - 9
General Formulas and Concepts:
Combining like termsStep-by-step explanation:
Step 1: Define expression
(5x³ - 3x⁴ - 2x - 9x² - 2) + (3x³ + 2x² - 5x - 7)
Step 2: Simplify
Combine like terms (x³): -3x⁴ + 8x³ - 9x² - 2x - 5x - 2 - 7Combine like terms (x): -3x⁴ + 8x³ - 9x² - 7x - 2 - 7Combine like terms (constants): -3x⁴ + 8x³ - 9x² - 7x - 9Answer 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.
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 :)
The recipe for a batch of applesauce uses 2 and one-half pounds of apples. If Michael wants to make Three-fourths of a batch of applesauce, how many pounds of apples will he need? StartFraction 3 Over 10 EndFraction of a pound StartFraction 8 Over 15 EndFraction of a pound 1 and StartFraction 7 Over 8 EndFraction pounds 3 and one-third pounds
Answer:
The answer is the option C
Step-by-step explanation:
Hope it help
Answer:
c
Step-by-step explanation:
i took the quiz
am • an = am + n, where a is a real number and m and n are integers
Use the product of powers property to simplify the expression –2x3y4x2y3.
–2(xy)12
–2(xy)72
–2x6y12
–2x5y7
Answer:
it's D i just took it.
Step-by-step explanation:
Answer:
D. -2x^5y^7 on edge
Step-by-step explanation:
PLEASE HELP I HAVE 5 MIN TO TURN THIS IN!!!!
There are two gardens, garden A and garden B are shown in the image below.
Is there more than one expression that can be used to represent the perimeter of each garden?
Step-by-step explanation:
garden a:
perimeter=2xlength+2xwidth = 2x(5x(2x-3))+2x(2x-3) = 20x-30 + 4x-6 = 24x-36 / 12(2x-3) feet
garden b:
perimeter= 5x+5 + 4x+2 + 8x-8 = 17x - 1 feet
Answer:
Perimeter A = 24x - 36Perimeter B = 17x - 1Step-by-step explanation:
garden A
Width (W) = 2x - 3
Length (L) = 5(W)
= 5 (2x - 3)
= 10x - 15
Perimeter A = 2L + 2W (perimeter of a rectangular garden)
= 2(10x - 15) + 2(2x - 3)
= 20x - 30 + 4x - 6
= 24x - 36
garden B
side 1 = 5x + 5
side 2 = 4x + 2
side 3 = 8x - 8
Perimeter B = sides (1 + 2 + 3)
= 5x+5 + 4x+2 + 8x-8
= 5x + 4x + 8x + 5 + 2 - 8
= 17x - 1
10 po
8. A square with a perimeter of 20 is dilated
with a scale factor of 0.4. How would the
area of the new square be affected?
a) It would be 20 times bigger.
b) It would be 0.4 times smaller.
c) It would be 0.16 times smaller.
d) It would be 400 times bigger.
O a)
Answer:
the answer is c 0.16
Step-by-step explanation
I just took the test
Someone help me plz!!
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).
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If 2 (3t - 10) + t = 40 + 4t, what is the value of 3t?
Answer:
3t = 60
Step-by-step explanation:
2(3t - 10) = 40 + 3t
6t - 20 = 40 + 3t
3t - 20 = 40
3t = 60
If you need to simplify that then the answer would be t = 20.
Jayden paid a total of $155 to purchase 5 books from a book club. Each book cost the same amount. The total cost included a shipping and handling fee of $15. What was the price of each book?
Answer:
Step-by-step explanation:
Given
Jayden paid =$155
He purchase =5 books
a shipping and handling fee =$15.
Solution
Cost of books=155-15
= $140
the price of each book=140/5
=$28
The value of which number lies between 14 and 15?
Answer: 69 hope this helps!
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 ILL GIVE BRANLIEST
Answer:
angle A is congruent to angle R
Step-by-step explanation:
when it gets rotated counterclockwise around point X that is how the triangles end up matching up
Answer:
The answer is 1. ∠A ≅ ∠R
Step-by-step explaation:
Looking at the triangles when they're in their alphabetical order, ΔABC and ΔRST, since they are congruent, that means that if you were to pick an angle in one triangle, it would be equal to the angle in the same place of the other triangle. So if we were to take the first letter from ΔABC it'd be A, and the first letter in ΔRST is R, so that means angles ∠A and ∠R should be congruent.
A placekicker for a football team makes field goals 85% of the time when kicking from the 20-yard line. Assuming that field goal attempts can be considered random events, what is the probability that the placekicker will make 4 of his next 5 attempts from the 20-yard line?
Answer:
Step-by-step explanation:
answer should be 0.39
The probability that the placekicker will make 4 of his next 5 attempts from the 20-yard line is 0.39.
What is the probability?Probability in mathematics is the possibility of an event in time. In simple words how many times does that incident is happening in any given time interval?
Given:
A placekicker for a football team makes field goals 85% of the time when kicking from the 20-yard line.
Assuming that field goal attempts can be considered random events.
P = 0.85
n = 5
Standard deviation = √{5 x 0.85 x (1 - 0.85) = 0.79
The probability that the placekicker will make 4 of his next 5 attempts from the 20-yard line is,
= P (X ≥ 4)
= P (X ≥ 3.5)
= 1 - P(X < 3.5)
= 0.39
Therefore, the probability is 0.39.
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Human cells come in a wide variety of shapes and sizes. The
mass of an average human cell is 2 x 10-11. Write this number in
standard form.
Answer:
2
Step-by-step explanation:
Given f(x) = 2x^3 + ax^2 - 7a^2x - 6a^3, determine whether or not x-a and x+a are factors of f(x). Hence, find, in terms of a, the roots of f(x) = 0.
thankyou so much
Answer:
Step-by-step explanation:
f(x) = 2x³ + ax² - 7a²x - 6a³
= 2x³ - 2a²x + ax² - a³ - 5a²x - 5a³
= 2x(x² - a²) + a(x² - a²) - 5a²(x+a)
= (2x+a)(x - a)(x + a) - 5a²(x + a)
= (x + a)[(2x + a)(x - a) - 5a²]
= (x + a)(2x² - ax - 6a²)
= (x + a)(2x + 3a)(x - 2a)
x-a is the factor of the equation and x + a is not a factor of the equation,
All the roots of the equation are x + a, 2x+3a, x-2a.
What is a cubic equation ?"In algebra, a cubic equation in one variable is an equation of the form
ax^3+bx^2+cx+d=0
in which a is nonzero.
The solutions of this equation are called roots of the cubic function defined by the left-hand side of the equation. If all of the coefficients a, b, c, and d of the cubic equation are real numbers, then it has at least one real root (this is true for all odd-degree polynomial functions). "
Given equation is [tex]f(x) = 2x^3 + ax^2 - 7a^2x - 6a^3[/tex]
Now,
[tex]f(x) = 2x^3 + ax^2 - 7a^2x - 6a^3\\\\= 2x^3 - 2a^2x + ax^2 - a^3 - 5a^2x - 5a^3\\\\= 2x(x^2 - a^2) + a(x^2 - a^2) - 5a^2(x+a)\\\\= (2x+a)(x - a)(x + a) - 5a^2(x + a)\\\\= (x + a)[(2x + a)(x - a) - 5a^2]\\\\= (x + a)(2x^2 - ax - 6a^2)\\\\= (x + a)(2x + 3a)(x - 2a)[/tex]
Hence, the roots of the equation are x + a, 2x +3a, x - 2a.
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In your own words, describe the steps you take to round a decimal.
Answer:
if its .5 round up if its .4 or lower round down
Step-by-step explanation:
Answer:
Step-by-step explanation:
i look at the number to the very decimal and then if it is 5 or higher i round up if it is 4 or lower i round down then leave out the rest of the numbers unless it tells you to round to the tenths, hundreds, or thousands place and so on.
PLEASE PLEASE HELP ILL MARK AS BRANLIEST
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