If the value of y will be 12 then the value of x will be equal to 16.
What is ratio?The ratio notion is used in mathematics when evaluating two or more numbers. It works as a comparison tool to demonstrate how big or small a particular number is. A ratio divides two quantities in order to compare them.
As per the given in information in the question,
The ratio of y-value to x-value is,
= 33:44.
In a simplified way, it can be written as,
= 3:4
So, if the value of y is 12, then let's assume that of x-value is p.
As we know that the ratio must be the same.
3 : 4
12 : p
Apply cross-multiplication method:
3p = 4 × 12
p = 48 ÷ 3
p = 16
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Two less than seven times a number is the same as ten times the same number increased by 1. What is the
number?
Answer:
x = -1
Step-by-step explanation:
first, create a formula or expression:
7x - 2 = 10x + 1
now, move the 10x, subtract it on the other side
-3x - 2 = 1
add 2
-3x = 3
divide by -3
x = -1
you can substitute it in to check
Complete the proof that m
Using properties of parallel line we can prove that
m ∠QSR + m ∠UVX =180°.
How to prove thisProperties of Parallel Lines
The fundamental characteristics listed below make it simple to recognize parallel lines.
Straight lines that are always the same distance away from one another are called parallel lines.
No matter how far apart they are from one another, parallel lines can never intersect.
Given:
We have to prove that m ∠QSR+ m ∠UVX=180°.
Now, using parallel line property
<QSR = <SUV ( corresponding angle).........(1)
and, <SVU + <UVX = 180 (linear pair)
<QSR + <UVX = 180 ( from (1))
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El mayor es Novecientos mil cuatrocientos ochenta y nueve , y cuarenta mil dos
El número "Novecientos mil cuatrocientos ochenta y nueve" se representa como 900,489 en notación numérica.
Por otro lado, el número "cuarenta mil dos" se representa como 40,002.
Si estamos buscando determinar cuál de estos dos números es mayor, podemos comparar las cifras en cada posición.
Comenzando desde la izquierda, el primer dígito de 900,489 es 9, mientras que el primer dígito de 40,002 es 4.
Dado que 9 es mayor que 4, podemos concluir que 900,489 es mayor que 40,002.
En general, al comparar números, se debe observar cada posición en orden de mayor a menor importancia.
Esto significa que el primer dígito a la izquierda es el más significativo y tiene más peso en el valor total del número.
Si los dígitos en la posición más significativa son iguales, se debe pasar a la siguiente posición hasta que se encuentre una diferencia.
En este caso, dado que el primer dígito de 900,489 es mayor que el primer dígito de 40,002, no es necesario comparar los dígitos en posiciones posteriores.
Por lo tanto, podemos concluir que el número "Novecientos mil cuatrocientos ochenta y nueve" (900,489) es mayor que "cuarenta mil dos" (40,002).
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Pregúntales a tus compañeros qué compraron para el almuerzo ayer. Anota las respuestas. Después escribe un resumen de los resultados
Answer:
"Que compraste para el almuerzo ayer?"
"yo me compre una torta de huevo" = i bought an egg sandwich
"yo no compre nada porque comi cereal en la manana"= I didn't buy anything since i had eaten cereal in the morning
A survey of 137 randomly selected students at one college showed that only 86 checked their campus email account on a regular basis. Construct a 98% confidence interval for the percentage of students at the college who do not check their email account on a regular basis. Round to one decimal place.
Answer:
2 %
Step-by-step explanation:
Multiply
(8X + 8)(8x2 + 3x + 7)
(Simplify your answer.)
Step-by-step explanation:
8x^3 + 24x^2 + 56x + 64x^2 +24x +56
8x^3 + 88x^2 + 80x +56
Answer:
64x^3+88x^2+80x+56
Step-by-step explanation:
(8x+8)(8x^2+3x+7)
64x^3+24x^2+56x+64x^2+24x+56
64x^3+24x^2+64x^2+56x+24x+56
64x^3+88x^2+80x+56
What is the translation from
a) shape X to shape Z?
b) shape Z to shape X?
The translation form of each shape is given as follows:
a) X to Z: (x, y) -> (x + 5, y + 2).
b) Z to X: (x, y) -> (x - 5, y - 2).
What are the translation rules?The four translation rules are defined as follows:
Left a units: x -> x - a.Right a units: x -> x + a.Up a units: y -> y + a.Down a units: y -> y - a.For the composition of translations, we add the coordinates, hence:
-2 + 7 = 5.5 - 3 = 2.Hence the rule from X to Z is given as follows:
(x, y) -> (x + 5, y + 2).
From Z to X, we have the inverse rule, hence:
(x, y) -> (x - 5, y - 2).
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To pay for a home improvement project that totals $20,000, a homeowner is choosing between two different credit card loans with an interest rate of 9%. The first credit card compounds interest quarterly, while the second credit card compounds monthly. The homeowner plans to pay off the loan in 10 years.
Part A: Determine the total value of the loan with the quarterly compounded interest. Show all work and round your answer to the nearest hundredth. (4 points)
Part B: Determine the total value of the loan with the monthly compounded interest. Show all work and round your answer to the nearest hundredth. (4 points)
Part C: What is the difference between the total interest accrued on each loan? Explain your answer in complete sentences. (2 points)
Please only responded if you know how to do it, will give the brainiest to however answers it correctly
The total value of the loan with quarterly compounded interest is approximately $45,288.38, while the total value of the loan with monthly compounded interest is approximately $45,634.84. The difference in total interest accrued is approximately $346.46.
Part A: To determine the total value of the loan with quarterly compounded interest, we can use the formula for compound interest:
A = P(1 + r/n)^(nt),
where:
A is the total value of the loan,
P is the principal amount (initial loan amount),
r is the interest rate (in decimal form),
n is the number of times interest is compounded per year,
and t is the number of years.
Given:
P = $20,000,
r = 9% or 0.09,
n = 4 (quarterly compounding),
t = 10 years.
Substituting the values into the formula, we have:
A = 20000(1 + 0.09/4)^(4*10).
Calculating this value, we find:
A ≈ $45,288.38.
Therefore, the total value of the loan with quarterly compounded interest is approximately $45,288.38.
Part B: To determine the total value of the loan with monthly compounded interest, we follow the same formula but with a different value for n:
n = 12 (monthly compounding).
Substituting the values into the formula, we have:
A = 20000(1 + 0.09/12)^(12*10).
Calculating this value, we find:
A ≈ $45,634.84.
Therefore, the total value of the loan with monthly compounded interest is approximately $45,634.84.
Part C: The difference between the total interest accrued on each loan can be calculated by subtracting the principal amount from the total value of each loan.
For the loan with quarterly compounding:
Total interest = Total value - Principal
Total interest = $45,288.38 - $20,000
Total interest ≈ $25,288.38.
For the loan with monthly compounding:
Total interest = Total value - Principal
Total interest = $45,634.84 - $20,000
Total interest ≈ $25,634.84.
The difference between the total interest accrued on each loan is approximately $346.46.
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D(5, 7), E(4, 3), and F(8, 2) form the vertices of a triangle. What is mZDEF?
Answer: \(m\angle DE F=90^{\circ}\)
Step-by-step explanation:
The slope of \(DE\) is \(\frac{7-3}{5-4}=4\).
The slope of \(EF\) is \(\frac{3-2}{4-8}=-\frac{1}{4}\).
Thus, \(DE \perp EF\), meaning \(m\angle DE F=90^{\circ}\).
Cory is saving for his son's college education. If the savings account earns 2.8% interest
compounded monthly, and he wants to have $25,000 in 18 years, what must the principal
be? Round your answer to the nearest dollar.
Answer:
principal is $15112
Step-by-step explanation:
25000=P(1+ 0.028/12)^(12times18)
The principal amount of the savings is $15111.6
How to determine the principal amount?The given parameters are:
Interest rate, r = 2.8%Amount, A = $25,000Time, t = 18 yearsNumber of times compounded, n = 12 i.e. monthlyAmount is calculated using:
A = P(1 + r/n)^nt
So, we have:
25000 = P(1 + 2.8%/12)^(12 * 18)
Make P the subject
P = 25000/(1 + 2.8%/12)^(12 * 18)
Evaluate the expression
P = 15111.6
Hence, the principal amount is $15111.6
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John charges $90 per hour for a landscaping job that takes 12 hours to complete. A helper is paid 14 of the total amount that John charges. Which THREE statements are true for this situation?
Answer:
A
Step-by-step explanation:
Finde the value of x in the proportion ( 5x+ 1 ):3 =(2x +2): 7(6 x) = (4x) :7
In the proportion (5x + 1):3 = (2x + 2):7, the value of x is -1/29.
In the proportion (6x):(4x) = 7, there is no value of x that satisfies the proportion.
To find the value of x in the given proportions, let's solve them one by one:
(5x + 1) : 3 = (2x + 2) : 7
To solve this proportion, we can cross-multiply:
7(5x + 1) = 3(2x + 2)
35x + 7 = 6x + 6
Subtracting 6x from both sides and subtracting 7 from both sides:
35x - 6x = 6 - 7
29x = -1
Dividing both sides by 29:
x = -1/29
Therefore, the value of x in the first proportion is -1/29.
(6x) : (4x) = 7
To solve this proportion, we can simplify the left side:
6x / 4x = 7
Dividing both sides by 2x:
3/2 = 7
This equation is not true, as 3/2 is not equal to 7.
Therefore, there is no value of x that satisfies the second proportion.
In summary, the value of x in the proportion (5x + 1) : 3 = (2x + 2) : 7 is -1/29, and there is no value of x that satisfies the proportion (6x) : (4x) = 7.
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A movie theater has 287 crates of popcorn. Each crate holds 6 pounds of popcorn. There are 15 people who work at the theater. How many pounds of popcorn are there altogether?
3-8(7-5n)
Solve for n
Misty’s surgery lasted 214 hours. Convert the time to seconds.
Answer:
770,400
Step-by-step explanation:
770,400 seconds
Determine whether the statement is true or false. If it is false, rewrite it as a true statement. Data at the ratio level cannot be put in order.
Answer:
False
Step-by-step explanation:
The statement is a false statement. We're asked to rewrite it as a true statement if it were false. Since it's false, we then try to rewrite it as a true statement, in so doing we are going to have it like this
"Data at the ratio level can be placed in a meaningful order."
Now we've successfully written it as a true statement
Graph the solution to the equation y=1/4+2 and y=–2x–7
Answer:
Step-by-step explanation:
y= 1/4x+2
y=-2x-7
Graphs below
A trellis is a system of overlapping wooden slats
created for a vegetable or flower vine to grow on.
What must be the value of x so that the two slats will
be parallel? What is the angle measure at that
location? Show and explain all work using
mathematical language.
For the angles to be parallel, the value of x is of x = 28, and the angle is of 132º.
What is needed for the slats to be parallel?The angles need to have the same measure. Their measures are of 3x + 48 and 6x - 36, hence:
3x + 48 = 6x - 36
3x = 84
x = 84/3
x = 28.
Hence the measure of the angle is:
3x + 48 = 3 x 28 + 48 = 132º.
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Which equation describes the line that goes through the point (- 5, 1) and has a slope of 1? A. y + 1 = x - 5 B. y + 5 = x - 1 C. y - 1 = - 5(x - 1) D.y y - 1 = x + 5
Answer:
D) y - 1 = x + 5
Step-by-step explanation:
(-5,1)
y - 1 = x + 5 ---> 1-1= -5-5
1-1= -5-5
0=0
The equation y - 1 = x + 5 is the line that passes through the point (- 5, 1) and has a slope of 1.
How to find the slope of the line?Use the formula m = (y2 - y1) / to calculate its slope (x2 - x1). The point-slope form of a line can be used to solve the following equation: y - y1 = m(x2 - x1) (x2 - x1).Ascertain the coordinates of two line points. Determine the y-coordinate difference between these two points (rise). Determine the difference in x-coordinates between these two points (run).Divide the x-coordinate variation (rise/run or slope) by the y-coordinate difference.The slope of a line is characterized as the change in y coordinate in relation to the change in x coordinate. The net change in the y-coordinate is represented by y, while the net change in the x-coordinate is represented by x.Therefore,
y - 1 = x + 5
(-5,1)
y - 1 = x + 5 ---> 1 - 1 = -5 - 5
1 - 1 = -5 -5
0=0
Hence, The equation y - 1 = x + 5 is the line that passes through the point (- 5, 1) and has a slope of 1.
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4. Draw a set of shapes where 3/4 of the shapes are squares.
Each shape is 1 whole. Estimate to divide each into equal parts (do not draw fourths). Divide each whole using a different fractional unit.
Images has been attached showing 3/4 of the shapes are squares.
Given that,
To draw a set of shapes where 3/4 of the shapes are squares.
In congruent geometry, the shapes that are so identical. can be superimposed on themselves.
What is the Ratio?The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
Here,
There are 3 squares and 1 nonregular quadrilateral, total = 4
the ratio of 3 squares to the total shapes = 3 / 4
Thus, Images has been attached showing 3/4 of the shapes are squares.
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Can you please help me faster please help me if you know???!!!
Answer:
29%
Step-by-step explanation:
5+48+22=75
22/75=0.2933
nearest % is 29%
Please help i will give brainliest to one who answers
You and a friend work at a job, The job paid $20 and you and the friend have to split it evenly, except your friend must make $1.00 more. How much will each of you get?
please help i will give brainliest to one who answers
you get 9 the friend gets 11
Please help! What is the surface area of the cylinder with height 4 m and radius 8 m? Round your answer to the nearest thousandth.
Make sure to round please.
The surface area of the cylinder is 948m²
What is surface area of cylinder?The area occupied by a three-dimensional object by its outer surface is called the surface area. The surface of a cylinder is expressed as ;
SA = 2πr(r+h)
Where r is the radius of the base and h is the height of the cylinder.
r =8m
h = 4m
SA = 2 × 3.14 × 8 (8+4)
SA = 78.96 × 12
SA = 947.52 m²
to the nearest whole number
SA = 948 m²
therefore the surface area of the cylinder is 948 m²
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A group of volunteers has been collecting toys to deliver to a local charity. Over the last 5 days, the volunteers have collected 425 toys. What has been their collection rate, in toys per day?
Answer:
Their rate was 85 toys per day.Step-by-step explanation:
Given equation:
425 ÷ 5Now, let's solve the equation:
425 ÷ 5= 85Their rate was 85 toys per day.
pam and mary each baked brownies. pam cut her pan into 6 pieces and gave away 4 of then.Many only cut her pan into 3 pieces and gave away the same amount as pam.show this on the drawing
Answer:
sheeeeeeesh
Step-by-step explanation:
ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. I say no guessing because people usually guess on my questions. CHECK ALL THAT APPLY
Answer:
A. it would be shifted up
Step-by-step explanation:
Y=MX+B
B is the Y-intercept.
Answer:
a. it would be shifted up
Step-by-step explanation:
the difference between the original and the new function is that the b value is changed from -6 to +8, meaning the y-intercept value has increased. this would shift the graph up by 14.
Given that n=20 what is the value of 3n+2
Step-by-step explanation:
\(given\)
n = 20
The value of 3n + 2 is
= 3 * 20 + 2
= 60 + 2
= 62
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6. (a) Find a recurrence relation for the number of n-digit binary sequences with no pair of consecutive 1s. (b) Repeat for n-digit ternary sequences
(a) There are 2 sequences of length 1 that fit the bill: 0 and 1. So if \(b_n\) is the number of permissible sequences, then \(b_1=2\).
To the sequence 0, we can attach either 0 or 1 at the end, while the sequence 1 must be followed by 0. Then the permissible sequences of length 2 are 00, 01, and 10, so \(b_2=3\).
Now consider a sequence of length n + 1, of which there are \(b_{n+1}\).
• If the last digit is 0, then we got this sequence by simply joining 0 to one of \(b_n\) sequences. In other words, there are \(b_n\) permissible sequences of length n + 1 that end in 0.
• If the last digit is 1, then the previous digit must have been 0. Put another way, we join 01 to a permissible sequence of length n - 1 (there are \(b_{n-1}\) of them). So there are \(b_{n-1}\) permissible sequences of length n + 1 that end in 1.
These cases are mutually exclusive, so the number of (n + 1)-length permissible sequences is given by
\(\begin{cases}b_1 = 2 \\ b_2 = 3 \\ b_{n+1} = b_n + b_{n-2} & \text{for }n\ge2\end{cases}\)
(b) The reasoning for a permissible ternary sequence is similar. Let \(t_n\) be the number of sequences of length n not containing 11.
We first note that \(t_1 = 3\), since we can have 0, 1, or 2; and \(t_2 = 8\), since we can have 00, 01, 02, 10, 12, 20, 21, or 22.
Consider a sequence of length n + 1 (\(t_{n+1}\) of these).
• If the last digit is 0, then we joined 0 to a permissible sequence of length n. So there are \(t_n\) permissible sequences of length n + 1 ending in 0.
• If the last digit is 1, then the last two digits must be either 01 or 21. Since there are 2 choices for the n-th digit, there are \(2t_{n-1}\) permissible sequences of length n + 1 ending in 1.
• If the last digit is 2, then we essentially have the same situation as if the sequence ended in 0, so there are \(t_n\) sequences of length n + 1 ending in 2.
Then the recurrence for ternary permissible sequences is
\(\begin{cases}t_1 = 3 \\ t_2 = 8 \\ t_{n+1} = 2t_n + 2t_{n-1} & \text{for }n\ge2\end{cases}\)
Bazinga charges $16.50 per hour to dogsit. Complete the table and answer the questions below.
number of hours
charge in dollars
1
16.50
49.50
6
199.00
132.00
8
A Write an expression describing Bazinga's earnings for working h hours.
#A
No preliminary values so no y intercept
rate of change =16.5
Equation
y=mxy=16.5x#2
4-1/2=4.5hours
Put 4.5 in equation
y=16.5(4.5)y=74.25$#3
Let y be 115.5
Now
16.5x=115.5x=115.5/16.5x=7hoursAnswer:
A) c = 16.5h
B) $74.25
C) 7 hours
Step-by-step explanation:
Bazinga charges $16.50 per hour to dog sit.
Therefore, to calculate the total charge, multiply the number of hours by the charge per hour:
\(\large \begin{array}{| c | c |}\cline{1-2} \sf number\:of\:hours & \sf charge\:in\:dollars\\\cline{1-2} 1 & 16.50 \\\cline{1-2} 3 & 49.50 \\\cline{1-2} 6 & 99.00 \\\cline{1-2} 8 & 132.00 \\\cline{1-2}\end{array}\)
Part AAs explained above, to calculate the total charge, multiply the number of hours worked by the charge per hour of $16.50
⇒ c = 16.5h
where:
h = number of hours workedc = total charge (in dollars)Part BTo calculate how much Bazinga will earn if they dog sit for 4.5 hours, substitute h = 4.5 into the equation and solve for c:
⇒ c = 16.5h
⇒ c = 16.5(4.5)
⇒ c = $74.25
Part CTo calculate how long it will take Bazinga to earn $115.50, substitute c = 115.5 into the equation and solve for h:
⇒ c = 16.5h
⇒ 115.5 = 16.5h
⇒ h = 115.5 ÷ 16.5
⇒ h = 7 hours
WILL GIVE 5 STAR IF CORRECT: Amelia uses her credit card to buy some clothes for $678.34. She can pay off up to $235 per month. The card has an annual rate of 21.7% compounded monthly. How much total interest will she pay? (4 points)
$11.93
$12.27
$24.65
$29.72
Answer:
chetta es polla airemeris di quana premeria
Step-by-step explanation:
Answer:
Month 1:
Calculate Balance (by adding interest to existing balance): 678.34*(1 + 0.217/12) = 690.606648333333 = 690.61
Make payment: 690.61 - 235 = 455.61
Old Balance: 690.61
New Balance: 455.61
--------------------------------------------------------------
Month 2:
Calculate Balance (by adding interest to existing balance): 455.61*(1 + 0.217/12) = 463.8489475 = 463.85
Make payment: 463.85 - 235 = 228.85
Old Balance: 463.85
New Balance: 228.85
--------------------------------------------------------------
Month 3:
Calculate Balance (by adding interest to existing balance): 228.85*(1 + 0.217/12) = 232.988370833333 = 232.99
Make payment: 232.99 - 232.99 = 0
Old Balance: 232.99
New Balance: 0
--------------------------------------------------------------
Payments Made: 235, 235, 232.99
Number of Payments Made: 3
Total Cost: 235 + 235 + 232.99 = 702.99
Total Cost: $702.99
Total Interest: 702.99 - 678.34 = 24.65
Total Interest: $24.65