Answer: [tex]\frac{19}{14}[/tex] in improper form and [tex]1\frac{5}{14}[/tex] in mixed fraction form.
Step-by-step explanation: [tex]\frac{6}{7}[/tex] + [tex]\frac{1}{2}[/tex] = ? First you have to find the LCM (Least Common Multiple) of 7 and 2; also known as the LCD (Least Common Denominator). The LCM of 7 and 2 is 14 so you have to multiply both of the fractions by the number that equals 14, remember to multiply it for the numerator too. [tex]\frac{6}{7}[/tex] x [tex]\frac{2}{2}[/tex] = [tex]\frac{12}{14}[/tex] Then [tex]\frac{1}{2}[/tex] x [tex]\frac{7}{7}[/tex] = [tex]\frac{7}{14}[/tex] Now you add [tex]\frac{12}{14}[/tex] and [tex]\frac{7}{14}[/tex] together. You leave the denominator as 14 because you found the LCD of 7 and 2 already, so you add 12 and 7 together which gives you 19. The answer would be [tex]\frac{19}{14}[/tex] in improper fraction form and [tex]1\frac{5}{14}[/tex] in mixed fraction form.
The sum of the fraction 6/7 and 1/2 is 19/14
How to add fractionsGiven:
sum of 6/7 and 1/2
Sum means addition(+)
= 6/7 + 1/2
The least common denominator is 7 × 2 = 14
= 6/7 + 1/2
= (12+7) / 14
= 19/14
Therefore, the sum of 6/7 and 1/2 is 19/14
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This table shows the median age of
women who were first married in different
years. During which time interval did the
age increase at the greatest rate? What
was the rate of increase for that interval?
Year
1950 1980 1990 1995
2000
Age
20.3
22.0
23.9
24.5
25.1
(yr)
Answer:
1950-1980
Step-by-step explanation:
...........
Write an equation of the perpendicular bisector of the segment with endpoints (3,-7) and (-5,3) writing non-integers as simplified fractions:
Answer:
Step-by-step explanation:
The exponential function y= a(b)^x passes through the points (3,25) and (8,10). Which of the following is closest to the value of b?
If the exponential function [tex]y=ab^x[/tex] passes through the points (3,25) and (8,10), the value of b is 0.833
The given exponential equation is:
[tex]y=ab^x[/tex]
The function passes through the points (3, 25) and (8, 10)
Substitute x = 3 and y = 25 into the function [tex]y=ab^x[/tex]
[tex]25=ab^3[/tex]............................(1)
Substitute x = 8 and y = 10 into the function [tex]y=ab^x[/tex]
[tex]10=ab^8[/tex].............................(2)
Divide equation (2) by equation (1)
[tex]\frac{10}{25}=\frac{ab^8}{ab^3} \\\\0.4=b^5\\\\b=0.4^\frac{1}{5} \\\\b=0.4^{0.2}\\\\b=0.833[/tex]
Therefore, if the exponential function [tex]y=ab^x[/tex] passes through the points (3,25) and (8,10), the value of b is 0.833
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(8 pts)
7. Solve the following system using a matrix and converting the matrix to reduced row
echelon form, without introducing any fractions.
3x - 2y + 5z = -7
x – y + 3z = -5
4x + y + z = 6
Answer:
{x,y,z} = {-22/13,29/13,6/13}
Write the system as the following augmented matrix:
[tex]\left[ \begin{array}{ccc|c} 3 & -2 & 5 & -7 \\ 1 & -1 & 3 & -5 \\ 4 & 1 & 1 & 6 \end{array} \right][/tex]
Swap rows 1 and 2 :
[tex]\left[ \begin{array}{ccc|c} 1 & -1 & 3 & -5 \\ 3 & -2 & 5 & -7 \\ 4 & 1 & 1 & 6 \end{array} \right][/tex]
Eliminate the x coefficient from the last two rows by add -3 (row 1) to row 2, and -4 (row 1) to row 3 :
[tex]\left[ \begin{array}{ccc|c} 1 & -1 & 3 & -5 \\ 0 & 1 & -4 & 8 \\ 0 & 5 & -11 & 26 \end{array} \right][/tex]
Eliminate the y coefficient from the first and last rows by adding row 2 to row 1, and -5 (row 2) to row 3 :
[tex]\left[ \begin{array}{ccc|c} 1 & 0 & -1 & 3 \\ 0 & 1 & -4 & 8 \\ 0 & 0 & 9 & -14 \end{array} \right][/tex]
Eliminate the z coefficient from the second row by adding 4 (row 3) to 9 (row 2) :
[tex]\left[ \begin{array}{ccc|c} 1 & 0 & -1 & 3 \\ 0 & 9 & 0 & 16 \\ 0 & 0 & 9 & -14 \end{array} \right][/tex]
Eliminate the z coefficient from the first row by adding row 3 to 9 (row 1) :
[tex]\left[ \begin{array}{ccc|c} 9 & 0 & 0 & 13 \\ 0 & 9 & 0 & 16 \\ 0 & 0 & 9 & -14 \end{array} \right][/tex]
Then the solution to the system is (x, y, z) such that
9x = 13 and 9y = 16 and 9z = -14
or
x = 13/9 and y = 16/9 and z = -14/9
PLEASE HELP!!!!!!!!!
Which of the following are properties of parallelograms? Select all that apply!
Consecutive angles are congruent.
One pair of parallel sides.
Consecutive angles are supplementary.
Both pairs of opposite sides are congruent.
Both pairs of opposite of angles are congruent.
Answer:
If I have to guess, I’ll say
Consecutive angles are congruent.
One pair of parallel sides.
Consecutive angles are supplementary.
Step-by-step explanation:
if I’m wrong, I’m sorry. If I’m right, mark me brainlest!
Answer:
Consecutive angles are supplementary.
Both pairs of opposite of angles are congruent.
Both pairs of opposite sides are congruent.
Step-by-step explanation:
I took the quiz and this was the correct answer.
Given the linear equation y = -3x
identify the initial value and rate of change
Hurry timed test!!
Answer:
here you go. hope u past the test
Step-by-step explanation:
I hope it's helpful :)
A 3-inch candle burns down in 4 hours. If b represents how much of the candle, in inches, has burned away at any time given in hours, t, write a proportional equation for b in terms of t that matches the context
use this equation:
b+t+3+4
Henry and Jose are gaining weight for football. Henry weighs 205 pounds and is gaining 2 pounds per week Jose weighs 195 pounds and is gaining 3 pounds per week.
Write an equation to represent when the weights will be the same. Let w represent the number of weeks.
what would be the equation?
Answer:
205+2w=195+3w
Step-by-step explanation:
:)
The equation to represent when the weights are the same will be 3w + 195 = 2w + 205 and the number of weeks is 10.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Henry and Jose are putting on weight for football. Henry weighs 205 pounds and is acquiring 2 pounds each week Jose weighs 195 pounds and is acquiring 3 pounds each week.
Let 'w' be the number of weeks and 'y' be the total weight. Then the equations are given as,
y = 2w + 205
y = 3w + 195
If the weight becomes the same. Then the number of weeks is given as,
3w + 195 = 2w + 205
Simplify the equation, then we have
3w + 195 = 2w + 205
3w - 2w = 205 - 195
w = 10
More about the linear equation link is given below.
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Choose the symbol that correctly compares the fractions below.
Answer: A. ( > )
Step-by-step explanation: When you learn fractions, the fraction with the smaller numerator ( the top number) is the greater fraction because it contains more parts of the whole.
Alan has $400 in his checking account. He withdraws $50 each week. The amount remaining in his account, f(x), after x weeks is
represented by a function. What is the range of the function?
Answer:
{0, 50, 100, 150, ..., 350, 400}
Step-by-step explanation:
The range of Alan's balance will be multiples of 50 that are between (and including) 0 and 400.
{0, 50, 100, 150, ..., 350, 400}
_____
The expression for f(x) is ...
f(x) = initial balance - (rate of withdrawal) × (time period)
f(x) = 400 -50x
This is a continuous linear function defined for all x, and capable of producing f(x) values between -∞ and +∞. The range of this function is "all real numbers."
However, as applied to this problem, the domain of x is the set of integers from 0 to 8. The corresponding range is multiples of 50 from 0 to 8, that is, values 0, 50, ..., 350, 400.
I need help plz I've tried so many ways :(
Answer:
Below in bold.
Step-by-step explanation:
0.3. e^3x = 27
Taking logs of both sides:
ln (0.3. e^3x) = ln 27
ln (0.3) + ln e^3x = ln 27
ln e^3x = ln 27 - ln(0.3)
3x = ln 27 - ln 0.3
3x = ln(27/0.3) = ln 90
x = 1/3 ln 90
x = ln (90^1/3)
Approximate value of x:
= 1.499936557
= 1.500 to the nearest thousandth.
Consider the equation below.
Determine which equation has the same solutions as the given equation.
A.
B.
C.
D.
1
A football team has a net yardage of -31 yards on a series of plays. The team needs a net yardage of 30
3
yards to get a first down. How many yards do they have to get on their next play to get a first down?
On their next play the team needs to get
yards to get a first down.
Answer:
Please select all of the things below that were the main issues the Anti Federalists
had with the US Constitution.
Select 3 correct answer(s)
A-They felt that the states did nothing to protect peoples' rights
B-They felt that the state had too much power
C-Many people felt that the representatives of the convention in Philadelphia had
overstepped its authority and that the articles should have been amended
D-They were concerned in giving the national government more power
E-They felt that the Constitution did nothing to protect the peoples' rights
Please hurry I’m soo stressed!!!!!!!
Step-by-step explanation:
1 Which of these objects are made from magnetic materials?
a copper pipe
b plastic paper clip
c steel nail
d glass bottle
e iron bar
g nickel coins
frubber tyre
TRUE OR FALSE
There are whole numbers that are not integers.
All rational numbers are whole numbers.
All integers are whole numbers.
All integers are rational numbers.
Hope you could get an idea from here.
Doubt clarification - use comment section.
USE THE DIATRIBUTIVE PROPERTY TO WRITE 6(W+5) AS AN EQUIVALENT EXPRESSION
Answer:
w = 5
Step-by-step explanation:
Step 1: Use the Distributive property to get 6w + 30.
Step 2: Divide 6w by 6 and cancel out both 6s.
Step 3: Divide 30 by 6 to get 5, and you have the answer.
How do u do these percentages questions
Answer:
Step-by-step explanation:Determine the initial format of the number to be converted to a percentage. ...
Carry out a mathematical process on the number to be converted to a percentage. ...
Multiply the result of the mathematical process by 100. ...
Find the percentage of the original or real number. ...
Multiply the final number by 100.
The equation x + y = z relates the whole numbers x, y, and z. How does z compare to x?
If it helps, consider an example where you substitute 3 for x, 5 for y, and 8 for z.
y is z less than x.
y is z more than x.
x is y less than z.
x is y more than z.
Answer:
C. x is y less than z
Step-by-step explanation:
x+y=z
by using transposition
x = z-y
whatever x is, it is equal to the value of y taken from z
What is 180 in./sec in m/min?
274.32 is the answer. Tell me if I need to be more precise.
Pls help me I’m super confused
What isa cookoo bird clock thingie mabob
Answer:
Step-by-step explanation:
erica takes the bus to work. the bus ride to work costs her $2.00 each time. She could buy a bus pass for a one-time fee of $15 and would only pay $1.00 each time to ride the bus. how many times would she have to take the bus in order for the cost to be the same?
Answer:
i think 15 times
Step-by-step explanation:
2×x = 15+(1×x)
2x = 15+x
x = 15
Leah goes to Buffalo Wild Wings for lunch. Her total bill was $35.50. She wants
to leave a tip that is 18% of the total bill. How much should she leave for the
server? How much did she spend in all?
Answer:
$41.89
Step-by-step explanation:
18% of %35.50 is $6.39.
$6.39+$35.50= $41.89
Answer:
She should leave $6.39 tip for the server. She paid $41.89 in all. Hope this helped! if the answer is wrong im super sorry!
Step-by-step explanation:
0.18 x 35.50 = 6.39
6.39 + 30.50 = 41.89
correct?````````````````````````````
multiply (2x+3y)(x-y)
Answer:
2x^2 +xy - 3y^2
Step-by-step explanation:
2x(x-y) +3y(x-y)
2x^2+xy - 3y^2
Geologists collected some rock samples. Of the 12,000
grams of ore they collected, about 600 grams contain a
valuable mineral
What is the concentration of the mineral in the
sample?
5%
6%
50%
60%
Answer:
5%
Step-by-step explanation:
600 / 12000 = .05
Answer:
2 %
Step-by-step explanation:
PLS SOMEONE HELP ME PLS WITH GEOMETRY
Answer:
They are congruent by SAS
Step-by-step explanation:
MQ=PN
The angles with markings also go together
The line right in the middle is the second side because of the reflexive property
Solve 3x-5 + x= 31.
09
0-12
O 12
[tex]3x-5 +x = 31\\\\\implies 4x -5 = 31\\\\\implies 4x = 31 +5\\\\\implies 4x = 36 \\\\\implies x =\dfrac{36}4\\\\\implies x = 9[/tex]
What number is the opposite of
3/11
O A. - 3/11
O B. -11/3
C. 11/3
O D. 1/3
Answer:
I believe the answer is A.
x : y = 1 : 5. which is the correct equation?
Th e correct equation will be y = 5x
How to express ratios and proportionsRatios is a way dividing two integers. For instance, the ratio of a to b is written as a:b.
Given the ratios expressed as x:y = 1:5
Since ratio means division hence;
x:y = 1:5
x/y = 1/5
Cross multiply
1 * y = 5 * x
y = 5x
Hence the correct equation will be y = 5x
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what is -5.3125 in The real Number System?
Answer:
It'd be a rational number
Step-by-step explanation:
Real numbers are a set of numbers containing all of the rational numbers and all of the irrational numbers.
Types of numbers in the rational number "section" are decimals, whole, mixed, and fraction numbers whether they are negative or positive they are rational numbers.
Irrational numbers are numbers that cannot be expressed as the ratio of two integers. So they would be square root, pi and more.