Answer:
the decimal is 2.5
Answer: 5/2=2.5
Step-by-step explanation:
How I got this answer is how many times 5 can go into 2 or 5 divided by 2. So 5 divided by 2 is 2.5.
Pirate Jack has an equal number of gold and silver coins. If Pirate Jack splits all of his coins into 7 equal piles for his parrots, he has 4 coins left. Or, if he splits all of his coins into 11 equal piles for his shipmates, he has 4 coins left. Assuming every pile has at least 1 coin, what is the least possible number of coins Pirate Jack has?
Answer:
The least possible number of coins that Pirate Jack has is 77.
Step-by-step explanation:
i) let the number of coins in the piles for the parrots be x.
ii) therefore we can say that the total number of coins be 7x + 4
iii) let the number of coins in the piles for for the pirates be y.
iv) therefore we can say that the total number of coins be 11y + 4
v) therefore we can say that 7x + 4 = 11y + 4
vi) therefore 7x = 11y
vii) therefore the least possible number of coins that Pirate Jack has is equal to the LCM of 11 and 7 which is 77.
viii) x = 11 and y = 7
Answer:
158 coins
Step-by-step explanation:
Jack's number has to be an even number, because he can split his gold and silver coins evenly.
77 is the LCM of 11 and 7 and add 4 (the remainder) to get 81.
But it has to be an even number since he can split his coins evenly.
You can then do 77 times 2, and add 4 to get 158, which is the answer.
The rations that are equivalent to 16:12
Answer:
4:3, 32:24, 8:6
Step-by-step explanation:
for 4:3, you divide both sides of 16:12 by 4
for 32:24 you mutiple both sides by 2
for 8:6 you multiply both sides by 2
Hope this helps :)
need helpppppppppppppppppppppppppppp
Answer:
lower case p
Step-by-step explanation:
The law of sines: [tex]\frac{sinA}{a} = \frac{sinB}{b}[/tex]
Therefor look for which sides and angles are accounted for. If we are given angle P, Angle R, and Side r, then Side p is the last term that fits into the law of sines equation.
4 - 2b = 2
What is the value of b
Answer:
Step-by-step explanation:
4 - 2b = 2
collect terms
4 - 2 = 2b
2 = 2b
divide both side by 2
2/2 = 2b/2
b = 1
475 in scientific notation
Answer:
Step-by-step explanation:
4.75 x [tex]10^{2}[/tex]
Answer:
Step-by-step explanation:
[tex]4.75 x 10^{2}[/tex]
Make Q the subject of formula.
[tex]T=\sqrt{\frac{PQ}{R} }-R^{2}Q[/tex]
Answer:
Q = sqrt((P^2)/(4 R^10) - (P T)/(R^7)) + (P/R - 2 R^2 T)/(2 R^4) or Q = (P/R - 2 R^2 T)/(2 R^4) - sqrt((P^2)/(4 R^10) - (P T)/(R^7))
Step-by-step explanation:
Solve for Q:
T = sqrt((P Q)/R) - Q R^2
T = sqrt((P Q)/R) - Q R^2 is equivalent to sqrt((P Q)/R) - Q R^2 = T:
sqrt((P Q)/R) - Q R^2 = T
Add Q R^2 to both sides:
sqrt((P Q)/R) = Q R^2 + T
Raise both sides to the power of two:
(P Q)/R = (Q R^2 + T)^2
Expand out terms of the right hand side:
(P Q)/R = Q^2 R^4 + 2 Q R^2 T + T^2
Subtract Q^2 R^4 + 2 Q R^2 T + T^2 from both sides:
(P Q)/R - Q^2 R^4 - 2 Q R^2 T - T^2 = 0
Collect in terms of Q:
-Q^2 R^4 - T^2 + Q (P/R - 2 R^2 T) = 0
Divide both sides by -R^4:
Q^2 + T^2/R^4 - (Q (P/R - 2 R^2 T))/R^4 = 0
Subtract T^2/R^4 from both sides:
Q^2 - (Q (P/R - 2 R^2 T))/R^4 = -T^2/R^4
Add (P/R - 2 R^2 T)^2/(4 R^8) to both sides:
Q^2 - (Q (P/R - 2 R^2 T))/R^4 + (P/R - 2 R^2 T)^2/(4 R^8) = (P/R - 2 R^2 T)^2/(4 R^8) - T^2/R^4
Write the left hand side as a square:
(Q - (P/R - 2 R^2 T)/(2 R^4))^2 = (P/R - 2 R^2 T)^2/(4 R^8) - T^2/R^4
Take the square root of both sides:
Q - (P/R - 2 R^2 T)/(2 R^4) = sqrt((P/R - 2 R^2 T)^2/(4 R^8) - T^2/R^4) or Q - (P/R - 2 R^2 T)/(2 R^4) = -sqrt((P/R - 2 R^2 T)^2/(4 R^8) - T^2/R^4)
Add (P/R - 2 R^2 T)/(2 R^4) to both sides:
Q = (P/R - 2 R^2 T)/(2 R^4) + sqrt(((P/R - 2 R^2 T)^2)/(4 R^8) - (T^2)/(R^4)) or Q - (P/R - 2 R^2 T)/(2 R^4) = -sqrt((P/R - 2 R^2 T)^2/(4 R^8) - T^2/R^4)
(P/R - 2 R^2 T)^2/(4 R^8) - T^2/R^4 = P^2/(4 R^10) - (P T)/R^7:
Q = (P/R - 2 R^2 T)/(2 R^4) + sqrt((P^2)/(4 R^10) - (P T)/(R^7)) or Q - (P/R - 2 R^2 T)/(2 R^4) = -sqrt((P/R - 2 R^2 T)^2/(4 R^8) - T^2/R^4)
Add (P/R - 2 R^2 T)/(2 R^4) to both sides:
Q = sqrt((P^2)/(4 R^10) - (P T)/(R^7)) + (P/R - 2 R^2 T)/(2 R^4) or Q = (P/R - 2 R^2 T)/(2 R^4) - sqrt(((P/R - 2 R^2 T)^2)/(4 R^8) - (T^2)/(R^4))
(P/R - 2 R^2 T)^2/(4 R^8) - T^2/R^4 = P^2/(4 R^10) - (P T)/R^7:
Answer: Q = sqrt((P^2)/(4 R^10) - (P T)/(R^7)) + (P/R - 2 R^2 T)/(2 R^4) or Q = (P/R - 2 R^2 T)/(2 R^4) - sqrt((P^2)/(4 R^10) - (P T)/(R^7))
PLEASE HURRY ILL DO ANYTHING
A group of seventh graders and a group of teachers at a local middle school were asked how many siblings they each have. The dot plots below show the results.
When comparing the shape of the two sets of data, what conclusion can someone draw?
The students tend to have fewer siblings than the teachers.
The teachers tend to have fewer siblings than the students.
Both the students and the teachers have a wide range of siblings.
Both sets of data have the same shape.
First, we need to find out how many siblings the students have in total and how many siblings the teachers have in total.
The students: (1 x 4) = 4 + (2 x 7) = 18 + (3 x 5) = 33 + (4 x 2) = 41. The students have a total of 41 siblings.
The teachers: (1 x 3) = 3 + (2 x 2) = 7 + (3 x 4) = 19 + (4 x 5) = 39 + (5 x 3) = 54 + (6 x 1) = 60 + (8 x 1) = 68. The teachers have a total of 68 siblings.
Now that we have this information, we know that the answer is option 1, the students tend to have fewer siblings than the teachers. This is because the students had a total of 41 siblings and the teachers had a total of 68 siblings, and 41 is less than 68 so the students have fewer siblings than the teachers.
I really hope I could help! I put a lot of work into this answer! :D
A handyman charges $150 plus $25 per hour for painting a house. How much will the costumer have to pay if he paints the house for 13 hours in total?
A.325
B.475
C.1,950
D.1,975
Answer: B
Step-by-step explanation: you multiply 25 x 13 + 150
find the exact value of the eighth term of the geometric sequence: 648,216,72,24
8th term is 0.30
Step-by-step explanation:
Step 1: nth term of a GP = a × r^n-1Step 2: Find r.⇒ r = a2/a1 = 216/648 = 1/3
Step 3: Calculate 8th term. a = 648, r = 1/3 and n = 8⇒ 8th term = 648 × (1/3)^8-1 = 648 × (1/3)^7 = 648/2187 = 0.30
Use the following paycheck to answer the question.
What percent of Zachary's pay do his deductions comprise?
To calculate the percentage of Zachary's pay that his deductions comprise, divide the total amount of deductions by the total pay, then multiply by 100.
Explanation:To find out what percent of Zachary's pay his deductions compromise, you need to divide the total amount of deductions by the total amount of his pay, and then multiply by 100 to get the percentage.
Let's use an example. If Zachary's total deductions are $300 and his total pay is $1000, you would do the following calculation:
Divide 300 by 1000. This will give you 0.3. Multiply 0.3 by 100. This will give you 30.
In this example, Zachary's deductions comprise 30% of his total pay.
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What is 38.96 × 15.7 with work
If the measure is 3= 122, then the m6= ?
122 degrees
58 degrees
68 degrees
28 degrees
Yo sup??
m3 and m6 for a supplementary pair therefore
m3+m6=180
122+m6=180
m6=58
Hope this helps
The required measure of the angle m∠6 is given as 58 degrees. Option B is correct.
What is the angle?Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
Here,
For the bisection of parallel line by transversal line,
Corresponding angles always have an equal measure,
So, ∠2 = ∠6
Now,
∠2 + ∠3 = 180
∠6 + 122 = 180
∠6 = 58°
Thus, the required measure of the angle m∠6 is given as 58 degrees. Option B is correct.
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RSTV is a parallelogram. Line RT and Line SV intersect at Q. RQ = 5x+1 and QT = 3x+15. Find QT
QT = 36
Step-by-step explanation:
Step 1 :
Lines RT and SV are the diagonals of the parallelogram RSTV.
Step 2 :
The diagonals of a parallelogram bisect each other . (Properties of a parallelogram)
Step 3 :
Given that the diagonals RT and SV intersect at Q, we have QT = RQ.
=> 5 x + 1 = 3 x + 15
=> 5 x - 3 x = 15 -1
=> 2 x = 14
= > x = 7
Step 4:
QT = 3 x + 15
=> QT = 3 * 7 + 15
=> QT = 21 + 15 = 36
Applying the properties of the diagonal of a parallelogram, the length of QT = 36 units.
Diagonals of a ParallelogramThe diagonals of a parallelogram are always congruent to each other.When the diagonals intersect, they bisect each other, that is, they cut each other into equal segments.Therefore,
RQ = QT
Substitute5x + 1 = 3x + 15
Add like terms5x - 3x = -1 + 15
2x = 14
x = 7
QT = 3x + 15
Plug in the value of xQT = 3(7) + 15
QT = 36
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A circle has a circumference of 56π centimeters (cm). What is the radius of the circle?
Answer:
if C = 56pi, you do plug in the given by using the formula C = 2pi(r)
56pi = 2pi(r)
56/2 = r
r= 28
the radius is 28
Use the multiplier method to increase 258 by 43
Answer:
368.94
Step-by-step explanation:
New value =
258 + Percentage increase =
258 + (43% × 258) =
258 + 43% × 258 =
(1 + 43%) × 258 =
(100% + 43%) × 258 =
143% × 258 =
143 ÷ 100 × 258 =
143 × 258 ÷ 100 =
36,894 ÷ 100 =
368.94
To increase 258 by 43% using the multiplier method, multiply 258 by 1.43. The result is 369.14.
Explanation:To use the multiplier method to increase 258 by 43, you simply need to calculate 258 times the multiplier. The multiplier is 1 plus the rate of increase, which is 43% in this case. So, the multiplier is 1+0.43=1.43.
Here is the calculation:
258 * 1.43 = 369.14
So, 258 increased by 43% is approximately 369.14.
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A rectangle is eight inches and diagonal is ten
inches. What's the width of the rectangle?
Answer: Its width is 6inches.
Step-by-step explanation:
The given information can be used to construct a right angled triangle. Now applying the Pythagoras theorem,
10^2 = W^2 + 8^2
where w represents the width.
100 = w^2 + 64
100 - 64 = w^2
36 = w^2
find the square root of both sides,
6 = w
Therefore, w = 6 inches
Thus the width of the rectangle is 6 inches.
Tina is fixing a rectangular sign. She plans to place a metal trim around the sign edges. The rectangle measures 32 inches by 9 inches. How much trim will Tina need?
Answer:288
Step-by-step explanation:32 x 9 = 288
at its highest setting, jeds shower head releases 6.2 gallons of water per minute. Jed took a shower lasting 5 minutes and 12 seconds. What is the maximum amount of water Jed could have used?
Answer:
32.24 gallons
Step-by-step explanation:
From the question,Jed’s shower head releases
6.2 gallons = 1 minute
x gallon = 5 mins 12 secs
First convert 12 secs to minutes and add it to 5 mins .
1 minute = 60secs
x minute = 12 secs
x = 12/60
= 0.2 mins + 5 mins
= 5.2 mins
Therefore,
6.2 gallons = 1 minute
x gallons = 5.2 mins
Cross multiply
x = 6.2 x 5.2 /1
= 32.24/1
= 32.24 gallons
mike rides his bike with a constant speed of 12 miles per hour how far can he travel in 3 1/2 hours?
Answer:
42 miles
Step-by-step explanation
Distance = Speed * Time
X=12mph*3.5h
X=42 miles
Distance he can travel is 42 miles.
Step-by-step explanation:
Step 1: Given speed = 12 miles/hour and time = 3 1/2 hours = 7/2 hoursStep 2: Calculate distance using the formula Distance = Speed × Time⇒ Distance = 12 × 7/2 = 42 miles
6 yd
Area:
Circumference:
From the problem above, if
you doubled the length of the
radius, what would be the
ratio of the area of the
smaller circle to the larger
circle?
Answer:
Pie
Step-by-step explanation:
Answer:
pi
Step-by-step explanation:
PLEASE HELP!
First determine the degree of each polynomial expression below. Explain how you determined this on each expression.Then organize the expressions from least to greatest based on their degree
I. 6x^2
II. 18x^3+5ab-6y
III.8a-5
IV. 4x^3y+3x^2-xy-4
Degree of polynomials:
[tex]6x^2 = 2\\\\18x^3+5ab-6y = 3\\\\4x^3y +3x^2-xy-4 = 4\\[/tex]
Least to greatest based on degree:
[tex]6x^2[/tex]
[tex]18x^3+5ab-6y[/tex]
[tex]4x^3y +3x^2-xy-4[/tex]
Solution:
The degree of the polynomial is the highest degree of any of the terms
Know that the degree of a constant is zero
Option I
[tex]6x^2[/tex]
Here the highest degree is 2 ( x power 2)
In this case, degree of polynomial is 2
Option II
[tex]18x^3+5ab-6y[/tex]
To find the degree of the polynomial, add up the exponents of each term and select the highest sum.
[tex]Degree\ of\ 18x^3 = 3[/tex]
[tex]Degree\ of\ 5ab = 5a^1b^1 = 1+1 = 2[/tex]
[tex]Degree\ of\ 6y = 6y^1 = 1[/tex]
Thus the highest degree is 3
Option III
[tex]8a^{-5}[/tex]
This is not a polynomial
A polynomial does not contain variables raised to negative
Option IV
[tex]4x^3y +3x^2-xy-4[/tex]
To find the degree of the polynomial, add up the exponents of each term and select the highest sum.
[tex]Degree\ of\ 4x^3y = 4x^3y^1=3+1 = 4\\\\Degree\ of\ 3x^2 = 2\\\\Degree\ of\ xy = x^1y^1 = 1+1 = 2\\\\Degree\ of\ 4 = 0[/tex]
Thus highest degree is 4
Then organize the expressions from least to greatest based on their degree
Least to greatest based on degree:
[tex]6x^2[/tex]
[tex]18x^3+5ab-6y[/tex]
[tex]4x^3y +3x^2-xy-4[/tex]
The average rate of hair growth is 2.5 centimeters every 2 months. At that rate, how many months will it take to grow 22.5 centimeters of hair?
Answer: 18 months or a year and a half
Step-by-step explanation:
2.5 centimeters every 2 months, so...
1.25 centimeters every month.
22.5 ÷ 1.25 = 18
So it will take 18 months to grow 22.5 centimeters of hair
Can anyone help me please
Angle A and Angle B are identical, so AC and BC are also identical.
ABC = AC
3x -7 =20
Add 7 to both sides:
3x = 27
Divide both sides by 3:
x = 9
Urgent!
Write a polynomial, P(x), in factored form given the following requirements.
Degree: 3
Zeros (roots) at (−2,0) with multiplicity 2 and (3,0) with multiplicity 1
P(x) passes through the point (2,80)
Answer:
The polynomial will be P(x) = - 5 (x + 2)²(x - 3)
Step-by-step explanation:
The degree of the polynomial P(x) is 3 and it has zeros at x = - 2 with multiplicity 2 and at x = 3 with multiplicity 1.
Therefore, (x + 2)² and (x - 3) are the factors of the equation.
Let the polynomial is
P(x) = a(x + 2)²(x - 3) ........... (1)
Now, the polynomial passes through the point (2,80).
So, from equation (1) we gat,
80 = a(4)²(-1)
⇒ a = - 5
Therefore, the polynomial will be P(x) = - 5 (x + 2)²(x - 3) (Answer)
The required polynomial is [tex]P(x) = - 5 (x + 2)^{2} (x - 3)[/tex]
Any polynomial have number of roots equal to its degree of polynomial.
Since, the degree of the polynomial P(x) is 3. it means that it has 3 roots.
it has zeros at x = - 2 with multiplicity 2, it means that factor (x - 2) have power 2 and at x = 3 with multiplicity 1 means that factor (x - 3) have power of 1 .
Thus, [tex](x + 2)^{2}[/tex] and (x - 3) are the factors of the equation.
Let us consider the polynomial is [tex]P(x) = k(x + 2)^{2} (x - 3) .[/tex]
Since, the polynomial passes through the point (2,80).
So, substituting point (2, 80) in above polynomial equation.
We get, [tex]80 = a(4)^{2} (-1)[/tex]
a = - 5
Therefore, the polynomial is [tex]P(x) = -5(x + 2)^{2} (x - 3) .[/tex]
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Find the value of y for the given value of x.
y=1−2x;x=9
Answer:
y = - 17
Step-by-step explanation:
[tex]y = 1 - 2x[/tex]
When x = 9
[tex]y = 1 - 2(9)[/tex]
[tex]y = 1 - 18[/tex]
[tex]y = - 17[/tex]
Therefore, given equation y = 1 - 2x; when x = 9, y = - 17
What is the average rate of change for ƒ(x) = −4x + 40 over the interval 1 ≤ x ≤ 3?
Answer:
The average rate of change is = - 4
Step-by-step explanation:
If y = f(x) is a function then the average rate of change for f(x) between the interval a ≤ x ≤ b is given by
[tex]\frac{f(b) - f(a)}{b - a}[/tex].
Now, in this case the function is given by f(x) = - 4x + 40 and the interval is 1 ≤ x ≤ 3.
Therefore, f(1) = - 4(1) + 40 = 36 and f(3) = - 4(3) + 40 = 28
So, the average rate of change is = [tex]\frac{28 - 36}{3 - 1} = - \frac{8}{2} = - 4[/tex] (Answer)
Answer:
−30
Step-by-step explanation:
−30 is the average rate of change for ƒ(x) = −4x + 40 over the interval 1 ≤ x ≤ 3.
ƒ(b) − ƒ(a)
b − a
= ƒ(3) − ƒ(1)
3 − 1
= −24 − 36
2
= −60
2
= −30
how to find the height of a square based pyramid when you are given the length of the base sides and the slant height?
Answer:
use the Pythagorean theorem
Step-by-step explanation:
The slant height is the hypotenuse of a right triangle whose legs are the height of the pyramid and the distance from the edge of the base to the center of the pyramid (where the height segment reaches the base).
For h = pyramid height, b = base edge length, s = slant height, the Pythagorean theorem tells you ...
h² + (b/2)² = s²
Solving for h gives ...
h = √(s² -(b/2)²) . . . . . the height of the pyramid
Use the distributive property to clear parentheses.
-6(3x+4)
Answer:-18x-24
Step-by-step explanation:Use the PEMDAS method
explanation:-18x-24
Paul's family drove 377 mi to the beach averaging 58 mi/h on the way there. On the return trip home, they averaged 65 mi/h.
What was the total time Paul's family spent driving to and from the beach?
11.3 h
11.6 h
12.3 h
13 h
Answer:
12.3 hours
Step-by-step explanation:
So other person can get brainliest
What is r/32=5/8=30/t
Step-by-step explanation:
[tex] \frac{r}{32} = \frac{5}{8} =\frac{30}{t} \\ \\ \therefore \: \frac{r}{32} = \frac{5}{8} \\ \\ \therefore \: r = \frac{32 \times 5}{8} \\ \\\therefore \: r = 4 \times 5\\ \\ \huge \orange{ \boxed{\therefore \: r = 20}} \\ \\ \frac{5}{8} =\frac{30}{t} \\ \\ \therefore \: t = \frac{8 \times 30}{5} \\ \\ \therefore \: t = 8 \times 6 \\ \\ \huge \purple{ \boxed{ \therefore \: t = 48}}[/tex]