5.51181 in feet. Hope this helps
HELP HELP HELP DUE TODAY PLEASEEE WILL GIVE ANYTHING
What is the recursive rule for the sequence?
4.4, 5.8, 7.2, 8.6, 10, …
an=an−1−1.4 , where a1=4.4
an=an+1+1.4 , where a1=4.4
an=an+1−1.4 , where a1=4.4
an=an−1+1.4 , where a1=4.4
Answer:
a_n=a_(n−1)+1.4 , where a_1=4.4
Step-by-step explanation:
Given a sequence as
4.4, 5.8, 7.2, 8.6, 10, …
We find that first term is 4.4
II term = 5.8 = 4.4+1.4
III term = 7.2 = 5.8+1.4
Iv term = 8.6 = 7.2+1.4
V term = 10.0 = 8.6+1.4
i.e. each term is got by adding 1.4 to the previous term.
In other words, this is an arithmetic sequence with I term =4.4 and d = common difference =1.4
I term = a_1 = 4.4
and a_2 = a_1+1.4 and so on.
Hence correct answer is
a_n=a_(n−1)+1.4 , where a_1=4.4
Francesca spent 45 minutes on the internet yesterday if this is 5/6 of the time she spent on the computer,how long did she spend on the computer but not on the internet?
Answer:
37.5
Step-by-step explanation:
x= time not spent on the internet while on the computer
5/6 = 45/x
45*6/5 = x
This is the equation you should use
Alexis received an 85,89, and 92 on three tests. How many points does she need to score on her next test in order to have an average of at least 90?
94
for her average to be at least 90 then letting x be the score she requires on her next test, then
[tex]\frac{85+89+92+x}{4}[/tex] = 90 ( solve for x )
multiply both sides by 4 to eliminate the fraction
85 + 89 + 92 + x = 360
266 + x = 360 ( subtract 266 from both sides )
x = 94
At a pet store ,davina counted 12parrots out of 20 birds ,which is an equivalent ratio of parrots to birds at the pet store
Every 3 Parrots there will be 5 Birds
3/5
Answer:
Every 3 Parrots there will be 5 Birds
3/5
Step-by-step explanation:
HELP WILL GIVE BRAINLIEST! 45 POINTS IF YOU GIVE CORRECT ANSWER!!!!
Among the following arithmetic operations, which could the symbol □ represent given that the equation is (2□1)4+(6□3)2=10
1. Addition
2. Subtraction
3. Division
It would be subtraction because 2-1 would result into 1 multiplied by 4 would make 4 your answer. And then 6-3 would equal to 3, multiply 3 by 2, you would get 6. Then finally when you add both 4 and 6, you would get the final answer of 10.
A line goes through the points (-6, -8) and (12, 7).
a) What is the slope of the line? Show your work
b) Write the equation of the line in point-slope form. Show your work
c) Write the equation of the line in slope-intercept form. Show your work.
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have (-6, -8), (12, 7).
Substitute:
[tex]m=\dfrac{7-(-8)}{12-(-6)}=\dfrac{7+8}{12+6}=\dfrac{15}{18}=\dfrac{5}{6}[/tex]
The slope-point form:
[tex]y-y_1=m(x-x_1)[/tex]
We have m = 5/6 and (12, 7).
Substitute:
[tex]y-7=\dfrac{5}{6}(x-12)[/tex]
The slope-intercept form:
[tex]y=mx+b[/tex]
[tex]y-7=\dfrac{5}{6}(x-12)\\\\y-7=\dfrac{5}{6}x-\dfrac{5}{6}\cdot12}\\\\y-7=\dfrac{5}{6}x-\dfrac{5}{1}\cdot2\\\\y-7=\dfrac{5}{6}x-10\qquad|+7\\\\y=\dfrac{5}{6}x-3[/tex]
What is the contrapositive of the statement “If a polygon is a square, then it has four right angles.”
Answer:
If a polygon has not got four right angles then it is not a square.
Step-by-step explanation:
Contrapositive is
if A implies B then not B implies not A.
Tomas buys a trumpet for $108.90. He will make 10 equal payments to pay for the trumpet. What is the amount of each payment that tomas will make?
Tomas will make 10 equal payments of $10.89 each to pay off the total cost of the trumpet which is $108.90.
This question involves simple division, the process of sharing an amount equally. Here, Tomas is dividing the total cost of a trumpet, which is $108.90, into 10 equal payments.
To find the amount of each payment, you simply divide the total cost by the number of payments. So, $108.90 divided by 10 gives us $10.89. Therefore, each payment Tomas will make for his trumpet is $10.89.
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Final answer:
Tomas will make 10 equal payments of $10.89 each to pay for the trumpet that costs $108.90 in total.
Explanation:
Tomas buys a trumpet for $108.90 and plans to make 10 equal payments to pay off the full amount. To find the amount of each payment, we divide the total cost by the number of payments. So, we calculate $108.90 ÷ 10, which results in each payment being $10.89. Therefore, each payment Tomas will make is $10.89.
Joyce is helping her aunt create craft kits. Her aunt has 138 pipe cleaners, what is the total numher of craft kits they can make?
Answer:
138 pipe cleaners can make 23 kit
Step-by-step explanation:
6 pipe cleaners = 1 kit
1 pipe cleaner = 1/6 kit
138 pipe cleaners = 1/6 x 138
138 pipe cleaners = 23
HELP giving BRAINLIEST !!!!
One question before I give my answer , Where did it say she stopped?
Answer:
ohhhh cool i go to the same school
Step-by-step explanation:
Solve for x. y=bx+a Enter your answer in the box.
Answer:
The value of the equation is [tex]x=\frac{y-a}{b}[/tex].
Step-by-step explanation:
Consider the provided equation.
[tex]y=bx+a[/tex]
We need to solve the provided equation for x.
Subtract a from both side.
[tex]y-a=bx+a-a[/tex]
[tex]y-a=bx[/tex]
Divide both sides by b.
[tex]\frac{y-a}{b}=\frac{bx}{b}[/tex]
[tex]x=\frac{y-a}{b}[/tex]
Hence, the value of the equation is [tex]x=\frac{y-a}{b}[/tex].
The variable 'x' as the subject of the formula of the equation y = bx + a is x = ( y - a )/b.
How to make 'x' the subject of the formula of the equation?Given the equation in the question:
y = bx + a
To make the variable 'x' the subject of the formula of the equationy = bx + a, first isolate term with the variable 'x'.
y = bx + a
To isolate the term containing variable 'x', first subtract 'a' from both sides of the equation:
y - a = bx + a - a
y - a = bx
Reaorder:
bx = y - a
Now, divide both sides by 'b':
bx/b = ( y - a )/b
x = ( y - a )/b
Therefore, the variable 'x' equals ( y - a )/b.
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Your local radio station is having their yearly music player and concert ticket giveaway. For one minute, every 5^\text{th}5 th 5, start superscript, t, h, end superscript caller will win a music player and every 7^\text{th}7 th 7, start superscript, t, h, end superscript caller will win concert tickets. You were just the first caller to win both a music player and concert tickets! What number caller were you?
Answer:
You were the 35th caller.
Step-by-step explanation:
For one minute, every 5th caller will win a music player and every 7th caller will win concert tickets.
If you were just the first caller to win both a music player and concert tickets, that means we need to find a least number which is divisible by both 5 and 7.
Actually we will find the LCM(Least common multiple) of 5 and 7.
[tex]5=1*5\\ \\ 7=1*7\\ \\ So, LCM = 1*5*7=35[/tex]
That means, you were the 35th caller.
Answer:
35
Step-by-step explanation:
Find the value of k so that 48x-ky=11 and (k+2)x+16y=-19 are perpendicular lines.
Answer: k = -1 +/- √769
Step-by-step explanation:
48x - ky = 11
-48x -48x
-ky = -48x + 11
[tex]\frac{-ky}{-k} = \frac{-48x}{-k} + \frac{11}{-k}[/tex]
[tex]y =\frac{48x}{k} - \frac{11}{k}[/tex]
Slope: [tex]\frac{48}{k}[/tex]
*************************************************************************
(k + 2)x + 16y = -19
- (k + 2)x -(k + 2)x
16y = -(k + 2)x - 19
[tex]\frac{16y}{16} = -\frac{(k + 2)x}{16} - \frac{19}{16}[/tex]
[tex]y = -\frac{(k + 2)x}{16} - \frac{19}{16}[/tex]
Slope: [tex]-\frac{(k + 2)}{16}[/tex]
**********************************************************************************
[tex]\frac{48}{k}[/tex] and [tex]-\frac{(k + 2)}{16}[/tex] are perpendicular so they have opposite signs and are reciprocals of each other. When multiplied by its reciprocal, their product equals -1.
[tex]-\frac{(k + 2)}{16}[/tex] * [tex]\frac{k}{48}[/tex] = -1
[tex]\frac{(k + 2)k}{16(48)}[/tex] = 1
Cross multiply, then solve for the variable.
(k + 2)(k) = 16(48)
k² + 2k - 768 = 0
Use quadratic formula to solve:
k = -1 +/- √769
Please Help It Is Past Due!
Prove the Pythagorean Theorem using similar triangles. The Pythagorean Theorem states that in a right triangle, the sum of the squares of the lengths of the legs of the triangle equals the squared length of the hypotenuse. Be sure to create and name the appropriate geometric figures.
Explanation:
First we consider ΔABC and ΔBCD,
∠C=∠C (common)
∠B=∠D=[tex]90\textdegree[/tex]
So, ΔABC ≈ ΔBCD (By AA similarity rule )
So by taking corresponding sides in ratios we get
[tex]\frac{AB}{BD}=\frac{AC}{BC}=\frac{BC}{CD}[/tex]
Now
[tex]AC.CD=BC.BC\\BC^{2} =AC.CD[/tex] -------- Eqn (1)
Similarly,
We consider ΔABD and ΔABC
∠A=∠A (Commom)
∠B=∠D=[tex]90\textdegree[/tex]
So,
ΔABD ≈ ΔABC (By AA similarity rule )
So by taking corresponding sides in ratios we get
[tex]\frac{BC}{BD}=\frac{AC}{AB}=\frac{AB}{AD}[/tex]
Now,
[tex]AB.AB=AC.AD\\AB^{2} =AC.AD[/tex] --------Eqn (2)
By Adding both the equation we get
[tex]AB^2+BC^2=AC.CD+AC.AD\\AB^2+BC^2=AC(CD+AD)\\AB^2+BC^2=AC.AC\\AB^2+BC^2=AC^2[/tex]
Hence, we proved the pythagorean theorem by using similarity of triangle.
What is greater one inch or one centimeter
One inch is greater than centimeter
Carrie spent
1
4
of her allowance on a shirt,
1
3
of her allowance on a skirt, and $8 on a belt. If she spent $22 in all, how much was Carrie’s allowance?
Equation:
1
4
a +
1
3
a + 8 = 22
Carrie’s allowance was $
.
24 dollars.
1/4 + 1/3 = 3/12 + 4/12 = 7/12
7/12 a + 8 = 22
7/12 a = 14
a = 14 x 12/7
a = 24 dollars
Translate this sentence into an equation. 32 is the product of Mabel's age and 2 . Use the variable m to represent Mabel's age. URGENT
To translate the given sentence into an equation, use the equation 2m = 32 and then divide both sides by 2 to solve for Mabel's age, which is 16 years old.
The sentence '32 is the product of Mabel's age and 2' can be translated into an equation using the variable m to represent Mabel's age. The product of two numbers means you multiply them together. We are given that when you multiply Mabel's age by 2, you get 32. The equation that represents this relationship is:
2m = 32
To find Mabel's age, we simply divide both sides of the equation by 2 to isolate m, which gives us:
m = 32 / 2
m = 16
Mabel's age is 16 years old.
Romona is asked to draw a tree using a scale of 1 inch 3 meters she drwas a 4 inch tree how tall is the tree
1 inch : 3 meters
x 4 x 4
4 inch : 12 meters
Answer: 12 meters
60 POINTS FOR THE THISS!!!
Does the following table show a proportional relationship between the variables x and y?
There is a certain pattern:
As x is increased by 1/4 every time, y is increased by 3 every time. You can make a proper ratio and set up proportions with these numbers.
A father leaves his money to his four children the first received 1/3 the second received 1/6 and the third received 2/5 how much did the remaining child receive
Answer:
The remaining child got a fraction of [tex]\frac{1}{10}[/tex].
Step-by-step explanation:
Lets take the fraction of the money fourth child got is [tex]x[/tex]
Addition of all these fractions should be equal to 1.
⇒[tex]\frac{1}{3} +\frac{1}{6} +\frac{2}{5} +x=1[/tex]
⇒[tex]\frac{10+5+12+30x}{30} =1[/tex] (Taking a common denominator)
⇒[tex]\frac{27+30x}{30} =1[/tex]
⇒[tex]27+30x=30[/tex]
⇒[tex]30x=3[/tex]
⇒[tex]x=0.1[/tex]
Therefore,
The remaining child got a fraction of [tex]\frac{1}{10}[/tex].
By calculating the combined fractions of the inheritance received by the first three children, we've determined that 27/30 of the inheritance has been allocated. Subtracting this from the whole leaves us with 3/30, which simplifies to 1/10 of the inheritance for the remaining child.
The student has asked about how much the remaining child will receive from a father's inheritance if the first received 1/3, the second received 1/6, and the third received 2/5 of the inheritance. To answer this, let's first add up the portions of the inheritance that the first three children received:
First child: 1/3
Second child: 1/6
Third child: 2/5
Now, we will find a common denominator to add these fractions. The least common multiple of 3, 6, and 5 is 30. Let's convert each fraction:
First child: 1/3 = 10/30
Second child: 1/6 = 5/30
Third child: 2/5 = 12/30
Now, add these fractions:
10/30 + 5/30 + 12/30 = 27/30
Once we add up these portions, we get 27/30 which represents the total part of the inheritance that has been given out to the first three children. To find out the portion for the remaining child:
30/30 (the whole inheritance) - 27/30 (the part given away) = 3/30
Reducing the fraction 3/30 gives us 1/10. So, the remaining child would receive 1/10 of the inheritance.
What is the LCM of 2x, 3y, and 4z?
12xyz
24xyz
8xyz
4xyz
LCM(2, 3, 4) = 12
LCM(x, y, z) = xyz
therefore
LCM(2x, 3y, 4z) = 12xyz
the LCM is 4xyz.
The Least Common Multiple (LCM) of expressions 2x, 3y, and 4z is calculated by finding the smallest power of each individual variable and prime number base that can be divided evenly by each of the expressions. In this case, we have different variables and numerical coefficients. We must take the highest power of each distinct variable and multiply it by the highest coefficient from the numbers given to find the LCM.
Since 2, 3, and 4 are the coefficients, the highest among them is 4. We will use this and multiply by each of the variables x, y, and z. So, the LCM is 4xyz.
A store is selling candy for $8 for 16 bags. How much will it cost if you need to have 84 bags?
A company can sell 2000 magazine subscriptions at $40 each. For each $5 increase in the price, it will sell 200 fewer subscriptions. What subscription price will provide the maximum revenue for the company?
$55
$40
$45
$50
ANSWER
The subscription price of $45 provides the maximum revenue for the company
EXPLANATION
When the price is $[tex]40[/tex], the company sells [tex]2000[/tex] quantities.
The total revenue accrued
[tex]=40\times2000[/tex]
[tex]=$80,000[/tex]
When the price increases to $[tex]45[/tex] the quantity sold will decrease by 200 magazines which is [tex]2000-200=1800[/tex]
The total revenue accrued
[tex]=45\times 1800[/tex]
[tex]=81000[/tex] dollars
When the price increases to $[tex]50[/tex] the quantity sold will decrease by 200 magazines again which is [tex]1800-200=1600[/tex]
The total revenue accrued
[tex]=50\times 1600[/tex]
[tex]=80000[/tex] dollars
When the price increases to $[tex]55[/tex] the quantity sold will decrease by 200 magazines which is [tex]1600-200=1400[/tex]
The total revenue accrued
[tex]=55\times 1400[/tex]
[tex]=77000[/tex] dollars
Hence a subscription price of $45 provides the maximum revenue for the company.
Least common multiple of 26,39 using prime factorization
26 is a multiple of 2 but 39 isn't
39 is a multiple of 3 but 26 isn't
Dividng by the next three prime numbers, neither 26 nor 39 is a multiple of 5, 7, or 11
Moving up to the sixth prime number (13), we see that BOTH 26 and 39 are divisible by 13. 26 = 2 * 13 and 39 = 3 * 13 and 13 is the lowest common multiple of 26 and 39.
Geometry help please Two Column Proofs
2x-5=x+25 what is the answer for x because am stuck
2x - 5 = x + 25
-x -x
x - 5 = 25
+5 +5
x = 30
Answer: x = 30
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!
A cleaning company charges x dollars per hour to clean floors and y dollars per hour to clean the rest of a house.
• When the company spends 2 hours to clean floors and 3 hours to clean the rest of a house, the total charge is $80.
• When the company spends 1 hour to clean floors and 4 hours to clean the rest of a house, the total charge is $100.
Which ordered pair represents the hourly charges to clean floors and to clean the rest of the house?
A) (2, 12)
B) (4, 24)
C) (12, 2)
D) (24, 4)
The answer is b. I see you got it. You are welcome.
Please help me
10 points
Answer:
see below
Step-by-step explanation:
The following definitions apply:
if p, then q . . . . conditional statement
if q, then p . . . . converse
if ~p then ~q . . . inverse
if ~q then ~p . . . contrapositive
You have ...
p = "it is October 31"
q = "it is Halloween"
(a) The converse is ...
If it is Halloween, then it is October 31.
(b) The inverse is ...
If it is not October 31, then it is not Halloween.
(c) The contrapositive is ...
if it is not Halloween, then it is not October 31.
please help asap 30 pts
x - length of side of a square
A perimeter of a square: P = 4x
We know:
20 ≤ P ≤ 32
20 ≤ 4x ≤ 32 |divide by 4
5 ≤ x ≤ 8
Answer: b. 5 ≤ x ≤ 8
Answer:
ans in b
Step-by-step explanation:
item 6 for what value of a is 8x−8+3ax=5ax−2a an identity?
Let's rewrite the expression as
[tex] 8x+3ax-5ax = 8-2a \iff 8x - 2ax = 8-2a \iff 2x(4-a) = 2(4-a) [/tex]
So, if [tex] a \neq 4 [/tex], you may divide both sides by [tex] 4-a [/tex], the equation becomes [tex] 2x=2 [/tex], and the only solution is [tex] x=1 [/tex], which means that this is not an identity (an indentity is tautologically true, no matter the value of x).
If instead [tex] a = 4 [/tex], you are multiplying both sides by zero, so the equation becomes
[tex] 2x \cdot 0 = 2 \cdot 0 \iff 0=0 [/tex]
So, it doesn't matter which value for x you choose, because you will always end up with [tex] 0=0 [/tex], which is obviously always true.