Answer:
t=84
Step-by-step explanation:
Malin's answer is $\frac{t-6}{6}$. Shawn's answer is $\frac{t+7}{7}$. We know these are equal, so we have the equation
$$\frac{t-6}{6} = \frac{t+7}{7}.$$
To eliminate denominators from the problem, we multiply both sides by $6\cdot 7$:
$$\frac{6\cdot 7\cdot (t-6)}{6} = \frac{6\cdot 7\cdot (t+7)}{7},$$
then simplify to get
$$7\cdot (t-6) = 6\cdot (t+7).$$
The parentheses are important here! For example, the parentheses on the left side of the equation tell us that it is $t-6$, not just $t$, which is multiplied by $7$.
Now we expand using the distributive property:
7t - 7\cdot 6 &= 6t + 6\cdot 7;\\
7t - 42 &= 6t + 42.
Adding $42$ to both sides gives
$$7t = 6t + 84,$$
then subtracting $6t$ from both sides gives $t=\boxed{84}$.
(We can check that starting from $t=84$, Malin and Shawn do indeed get the same final answer -- namely, $13$.)
The radius of a circle is 6 inches. What is the length of a 135-degree arc?
How to you get 28 from the numbers 3, 6, 2, and 8, while only using each number once?
Answer:
3x6+2+8=28
Step-by-step explanation:
3x6=18
18 + 2 = 20
20 + 8 = 28
Answer:
9 1/3 or 9.33, 28/6 or 4 4/6, 14 and 28/8 or 3 4/8
Step-by-step explanation:
( 1 ) The number 28 divided by 3 gives 9 1/3 or 9.33.
( 2 ) Using a calculator, if you typed in 28 divided by 6, you'd get 4.6667. You could also express 28/6 as a mixed fraction: 4 4/6.
( 3 ) 28 divided by 2 is 14.
( 4 ) Using a calculator, if you typed in 28 divided by 8, you'd get 3.5. You could also express 28/8 as a mixed fraction: 3 4/8.
Over six months, a family's electric bills averaged $55 per month. The bills for
the first five months were $57.60, $60, $53.25, $50.75, and $54.05. What was
the electric bill in the sixth month? Find the median, mode, and range of the
six electric bills.
Edin has £300 in his savings account. His bank offers him a fixed 5% simple interest rate per annum, for a period of 3 years.
Triangle is reflected across the y-axis and then dilated by a factor of centered at the origin. Which statement correctly describes the resulting image, triangle ? A. Both the reflection and dilation preserve the side lengths and angles of triangle . B. Neither the reflection nor the dilation preserves the side lengths and angles of triangle . C. The reflection preserves the side lengths and angles of triangle . The dilation preserves angles but not side lengths. D. The dilation preserves the side lengths and angles of triangle . The reflection does not preserve side lengths and angles.
The statement correctly describes the resulting image, triangle is C. The reflection preserves the side lengths and angles of triangle. The dilation preserves angles but not side lengths.
Since the triangle is reflected across the y-axis and then dilated by a factor of centered at the origin. These are transformations which include
Reflections - Which are transformations which change the coordinates of an object without affecting its dimensions.Dilations - Which are transformations which change the size of the object and thus its coordinates.The operations performed on the triangle are the following
A reflection across the y-axis changes the coordinates of the triangle from (x, y) to (-x, y) without changing the side lengths and angles.The dilation of the triangle by a factor an then centered at the origin increases the side length of the triangle but the angles in the triangle remain the same since the ratio of the sides before and after dilation are the same.So, the reflection would preserve the side lengths and angles, but the dilation would only preserve the angles.
So, the statement correctly describes the resulting image, triangle is C. The reflection preserves the side lengths and angles of triangle. The dilation preserves angles but not side lengths.
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Find the y-intercept of the line: x + 4y + 8 = 0
Answer:
(0,-2)
Step-by-step explanation:
0.12 to the nearest tenth
Answer:
0.1
Step-by-step explanation:
hope this helps
Answer: 0.1 / 0.10
Step-by-step explanation:
since the 2 is lower than 5 - it turns into 0
hope this helped ! :>
Which graph represents the function?
Answer:
First one ( top left)
This has an open circle at y = 3 which means the 3 is not included.
Then the y value of the second line equals the x value.
help help help help help
Answer:
i think the center (-7,6) and r = 7
which multipilcation expression is equal to 2 over 5 divided by 2 over 3
Answer:
2/5 × 3/2
Step-by-step explanation:
1. An expressions equated to another expression is called _______.
2. If a = 5, the value of 2a + 5 is _______.
3. The sum of twice and four times of the variable x is ______.
need help ~
thx for answering~
Answer:
1:Cubic
2:5a and the value in the 2a is a exp.
3:Quintic
Step-by-step explanation:
Im sure this answer is correct
An expressions equated to another expression is called an equation
An equation is an expression that is used to show the relationship between two or more variables and numbers.
Given that a = 5, hence:
2a + 5
substituting values:
2(5) + 5 = 10 + 5 = 15
2a + 5 = 15
The sum of twice and four times of the variable x is 2x + 4x = 6x
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What number is needed to complete the square?
x^2 + 3x + ?
The number needed to complete the square is 9/4
Given the expression x^2 + 3x + ?
Using the completing the square;
Step 2: Get the coefficient of x
The coefficient of x is 3
Step 3: Get the half of coefficient of x
Hale of the coefficient = 3/2
Step 4: Take the square of the result
Square of the result = ()3/2)^2 = 9/4
Hence the number needed to complete the square is 9/4
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Help Plssss it is due tommorrow!!!!!
Answer:
none of the other answera are correct
How many 1/6's are in 45/2
Find a degree 3 polynomial with real coefficients having zeros 4 and 4i and a lead coefficient of 1. Write P
in expanded form. Be sure to write the full equation, including P(x) = .
Answer:
P(x)= x^3 - 4x^2 + 16x - 64
Step-by-step explanation:
First, let’s find all of the zeroes. If the question is asking for a degree 3 polynomial, than there has to be more than 2 zeroes. The complex conjugates theorem states that if a+bi is a zero, than a-bi has to be a zero as well. So if 4i is a zero, than -4i has to be a zero as well. By looking at the zeroes, you can write them as a linear factorization.
(x-4)(x+4i)(x-4i)
If you foil all of it, you will get x^3 - 4x^2 + 16x - 64.
if the lines that comprise a system of equations have two different y-intercepts, is it possible that the system has infinitely many solutions?
Answer:
No, it is not possible.
Step-by-step explanation:
A system of linear equations with infinitely many solutions must meet at every single point. That means they have both the same y-intercept and the same slope. If either one of those are different, there cannot be infinitely many solutions.
Can someone plz help me?
Answer: C
Pt. C is at coordinate point (2,1)
The distance between A and C is 4 units (or boxes).
Help...(MATH).......
If f(x) = √x and g(x) = 7x + b, then
f(g(x)) = f(7x + b) = √(7x + b)
If the plot of f(g(x)) passes through (4, 6), then
f(g(4)) = √(7•4 + b) = √(28 + b) = 6
Solve for b :
√(28 + b) = 6
(√(28 + b))² = 6²
28 + b = 36
b = 36 - 28
b = 8
A square with side length s has perimeter 4s. Nellie painted on a square canvas that is 10.5
inches on each side.
What is the perimeter of the picture?
Write your answer as a whole number or decimal.
Answer:
42inches
Step-by-step explanation:
Perimeter = 4s
where s is length of each side
when s is 10.5
Perimeter = 4 × 10.5
= 42
During a storm the temperature drops from 90oF to 75oF. How much did the temperature drop in oC? (Round your answer to the nearest whole number. ).
Felicia jumped 14 times every 28 minutes. At that rate, how many would she jump in 8 minutes?
Every month a salary of ₹25,500.50 is deposited in Kavya’s account. How much money will she earn in a year?
Answer:
It's 306006
Step-by-step explanation:
It is 306006 because their is 12 months in a year and if you get 25500.5 dollars every month you multiply 25500.5 by 12.
I hope this was helpful!
Which correlation coefficient indicates the stronger linear relationship between random variables for a fixed sample size?
a
r = 0..8
b
r = 0.5
c
r = -0.2
d
r = -0.9
Answer:
D) r=-0.9
Step-by-step explanation:
Recall that when [tex]|r|[/tex] is closest to 1, the stronger the correlation between the variables. In this case, while [tex]|0.8|=0.8[/tex], [tex]|-0.9|=0.9[/tex] is actually larger and shows a stronger negative correlation between random variables. Therefore, D is correct.
Help please
Simplify the difference quotient (f(x + h) − f(x) )/h if h ≠ 0.
f(x) = x2 + 38
Answer:
2x + h
Step-by-step explanation:
[tex]\frac{f(x+h)-f(x)}{h}[/tex]
= [tex]\frac{(x+h)^2+38-(x^2+38)}{h}[/tex]
= [tex]\frac{x^2+2hx+h^2+38-x^2-38}{h}[/tex]
= [tex]\frac{2hx+h^2}{h}[/tex]
= [tex]\frac{h(2x+h)}{h}[/tex] ← cancel h on numerator/ denominator
= 2x + h
A restaurant chain would like to measure the proportion of customers who are generally satisfied with the service provided by its staff. At the end of the meal, as the check is delivered to the table, the server asks those at the table to rate their satisfaction with the service provided as "Very Satisfied,” "Satisfied,” or "Not Satisfied.” During a one-week period, 147 customers were surveyed and 135 (93%) reported they were either Satisfied or Very Satisfied. How might the results be biased in obtaining an estimate of all customers who are satisfied with service?
Because of response bias, the survey results may overestimate the true proportion of satisfied customers.
Because of response bias, the survey results may underestimate the true proportion of satisfied customers.
Because of voluntary response bias, the survey results may overestimate the true proportion of satisfied customers.
Because customers were surveyed over a one-week period, the results should provide an accurate estimate of satisfied customers.
PLEASE HELP
Based on the information given regarding the bias, the correct option is A. Because of response bias, the survey results may overestimate the true proportion of satisfied customers.
From the information given, it can be depicted that the type of bias that's present is the response bias because the customers may not respond truthfully to the server.
Therefore, because of response bias, the survey results may overestimate the true proportion of satisfied customers. In this case, the survey will show a higher number of satisfied customers which isn't a true reflection.
Learn more about bias on:
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Answer:
a
Step-by-step explanation:
-5 5/6 - ( -2 1/3 ) + 5 1/6
how do you solve 9r=3r+6
Answer:
r=1
Step-by-step explanation:
9r=3r+6
-3r -3r
6r=6
/6 /6
r=1
Check your answer:
9(1)=3(1)+6
9=9 ✔️
Does anyone know how to solve this? Please helppp, I’m so confused
Answer:
y = 65 degree
x = 50 degree
Step-by-step explanation:
I believe that’s right
The two angles in the isosceles triangle are 50 and 65 degrees .
An isosceles triangle has two equal sides and two equal angles.
Consider that the one angles in the triangle is x degrees and the bottom angle is 65 degrees.
Then we have:
65 = y
(The sum of all angles in a triangle is 180 degrees.)
Then Simplifying the equation:
65 + 65 + x = 1802
x = 180 - 65 - 65
x = 50 degrees
Therefore, the two angles in the isosceles triangle are 50 and 65 degrees .
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Factorise the expression:21x+3xy+6x²
Answer:
3x(7+y+2x)
Step-by-step explanation:
1) Find the Greatest Common Factor (GCF).
A. What is the largest number that divides evenly into 21x, 3xy, and 6x²?
It is 3.
B. What is the highest degree of x that divides evenly into 21x, 3xy , and 6x²?
It is x.
C. hat is the highest degree of y that divides evenly into 21x, 3xy, and 6x²?
It is 1, since y is not in every term.
D. Multiplying the results above,
The GCF is 3x.
2) Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
[tex]3x(\frac{21x}{3x} +\frac{3xy}{3x} +\frac{6x^{2} }{3x} )[/tex]
3) Simplify each term in parentheses.
[tex]3x(7+y+2x)[/tex]
[tex]21x+3xy+6x^{2} = 6x^{2}+3xy+21x=3x.2x +3xy+3x.7 =3x.(2x+y+7)[/tex]
ok done. Thank to me :>
3(x+2)+5x how do i simplify that expression?
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