Answer:
s=2r
Step-by-step explanation:
Solution:
Given;
2q-r=p
r=q-s
or,q=r+s
p=q+2r
To prove: s=2r
Now,
2q-r=p
or,2(r+s)-r=q+2r
or,2r+2s-r=r+s+2r
or,r+2s=3r+s
or,s=2r
PROVED
If you want any other solutions follow me
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By using the substitution method we can prove s = 2r.
Given,
2p - r = p
r = q - s
p = q + 2r
We need to prove s = 2r.
What is a substitution method?It is a method where we substitute the value of one variable in one equation for the same variable in the other equation.
Example:
x + 4 = y _____(1)
x = y - 4
x + 5 = 2y ______(2)
Putting x = y - 4 in (2)
y - 4 + 5 = 2y
-4 + 5 = 2y - y
1 = y
y = 1
Prove s = 2r.
We have,
2q - r = p ____(1)
r = q - s _____(2)
p = q + 2r ______(3)
From (1) and (2)
Substituting (2) in (1)
2q - (q - s) = p
2q - q + s = p
q + s = p _____(4)
Putting (4) in (3)
q + s = q + 2r
q - q + s = 2r
s = 2r
Hence proved.
Thus we can prove s = 2r.
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Given h(x) = -x + 5, find h(-5).
Answer:
10
Step-by-step explanation:
h(x) = -(-5) + 5
h(x) = 5 + 5
h(x) = 10
can someone help ill give brainliest
Answer:
a=55%
b=190%
c=54 pounds
Step-by-step explanation:
ok
a.
33/60=0.55
55%
b.
114/60=1.9
or 190%
c
60/100=0.6
0.6=1 percent
54
Answer:
a=55%
b=190%
c=54 pounds
Step-by-step explanation:
Rani ate 2/7 of the cake while her brother ate 4/5 part of the remaining. part of the cake left is?
Answer:
Nothing left
Step-by-step explanation:
Nothing left
2/7+4/5=38/35
1 3/35
Answer:
[tex]\frac{1}{7}[/tex]
Step-by-step explanation:
Amount of cake Rani ate = [tex]\frac{2}{7}[/tex]
You need to understand that her brother ate 4/5 of the remaining part, not of the entire cake, so we need to figure out the actual amount out of the entire cake first before calculating how much is left.
Amount of cake brother ate = [tex]\frac{4}{5}[/tex] × ([tex]\frac{7}{7}[/tex] - [tex]\frac{2}{7}[/tex])
= [tex]\frac{4}{5}[/tex] × [tex]\frac{5}{7}[/tex]
= [tex]\frac{4}{7}[/tex]
Amount of cake left = [tex]\frac{7}{7}[/tex] - [tex]\frac{2}{7}[/tex] - [tex]\frac{4}{7}[/tex]
= [tex]\frac{1}{7}[/tex]
What is the answer to this?
Answer:THE ANSWER IS C HOPE THIS HELPS ANY
Step-by-step explanation:
y = 4x + 2
y= x2 + 6x + 5
Answer:
im sorry for doing this but i really need points
Step-by-step explanation:
WILL GIVE BRAINLIEST!!!
Ignore the "$".
Jenny's grandmother has $24$ cats. Seventeen of the cats do not catch mice. Ten of the cats have black fur. What is the smallest possible number of cats that do not catch mice that have black fur?
Answer:
Note that 24 - 10 = 14 don't have black fur
And suppose that these 14 are part of the 17 that don't catch mice
Then.....3 that catch mice must also have black fur....and this is the smallest number that do not catch mice but have black fur
There are 4 red apples and 3 green apples. How many red and green apples are there?
Answer:
7
Step-by-step explanation:
Just add them together...
How much acetic acid is in a 15-liter container of acetic acid and water that is marked 40% acetic acid?
The solution is 40% acetic acid.
Multiply the amount of the solution by 40%:
15 liters x 0.40 = 6 liters
There is 6 liters of acetic acid
When a regression line was used to model exponential data, the -value was
0.668. If the data are linearized using logarithms and then modeled again
with a regression line, the value will be greater than 0.668.
OA. True
OB. False
The statement about the correlation coefficient of the exponential and logarithmic model is true
How to determine the true value of the statement?The correlation coefficient, r² is given as:
r² = 0.668
An exponential model and a logarithm model are inverse functions.
This means that, their correlation coefficients are also inverse
Given that the correlation coefficient, r² of the exponential data is 0.668.
And the highest value of the correlation coefficient is 1.
This means that the correlation coefficient, r² of the logarithmic data would be less than 0.668
Hence, the given statement is true.
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Answer:
true
Step-by-step explanation:
(Please help fast I have like 20 minutes to answer the question )
Answer:
2/3 / 1/6
4/6 / 1/6
1/6 can go into 4/6 4 times. the answer is C; 4
Step-by-step explanation:
question
question
questionhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj
Answer:
32 and 5n + 2
Step-by-step explanation:
(a)
The pattern of the number of sticks is
7, 12, 17
There is a common difference of 5 between consecutive terms.
Thus to obtain the number of sticks in number 6 , add 5 to previous terms, that is
a₄ = 17 + 5 = 22
a₅ = 22 + 5 = 27
a₆ = 27 + 5 = 32
There are 32 sticks in pattern number 6
(b)
The sequence is arithmetic with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
Where a₁ is the first term and d the common difference
Here a₁ = 7 and d = 5 , then
[tex]a_{n}[/tex] = 7 + 5(n - 1) = 7 + 5n - 5 = 5n + 2
number of sticks in pattern number n is 5n + 2
32 and 5n + 2
Step-by-step explanation:
(a)
The pattern of the number of sticks is
7, 12, 17
There is a common difference of 5 between consecutive terms.
Thus to obtain the number of sticks in number 6 , add 5 to previous terms, that is
a₄ = 17 + 5 = 22
a₅ = 22 + 5 = 27
a₆ = 27 + 5 = 32
There are 32 sticks in pattern number 6
(b)
The sequence is arithmetic with n th term
= a₁ + (n - 1)d
Where a₁ is the first term and d the common difference
Here a₁ = 7 and d = 5 , then
= 7 + 5(n - 1) = 7 + 5n - 5 = 5n + 2
number of sticks in pattern number n is 5n + 2
4/3 in a mixed numbers
Answer:
the answer is
[tex]1 \frac{1}{3} [/tex]
About 3/5th of the registered voters participated in 2016 election. California has 25 million registered voters. Find the number of registered voters who participated in 2016 election.
Answer:
Step-by-step explanation: 3x5=7056 = x25 2016
How can 85% be broken down with friendly percents to find 85% of a number?
Answer:
it would be C
Step-by-step explanation:
5(10%)+25%
Answer: options:
2(25%) + 3(10%)
3(25%) + 10%
5(10%) + 25%
4(10%) + 2(25%)
b. the answer is 3(25%)+ 10%
Step-by-step explanation:
hope this helps!
Helen and Stephanie par
cipated in the Christmas bird count. Helen
counted four less than twice the number of birds that Stephanie counted. If c
represents the number of birds Stephanie counted, which of the following
expressions gives the number of birds that Helen counted?
i really really really like birds
w/6+5/8=−1 3/8
w=?
I am really in a hurry. If the answer to this question is true, please tell me how to answer it. Thank you.
Answer:
46
Step-by-step explanation:
Calculate in calculator
5x+40 factorising fully
Answer:
5(x+8)
Step-by-step explanation:
because 5×x=5x
5×8=40
altogether it is 5x+40.
was this helpful?
The first jump in a unicycle high-jump contest is shown. The bar is raised 2 centimeters after each jump. Solve the inequality $2n+10\ge26$ to find the numbers of additional jumps needed to meet or exceed the goal of clearing a height of 26 centimeters.
Answer:
n ≥ 8
Step-by-step explanation:
Answer:
n ≥ 8
Step-by-step explanation:
The image above is a parallelogram because both pairs of opposite sides are parallel by the converse of the
Alternate (Interior Exterior) Angle Theorem.
Write which word should go in the underlined space after the word Alternate?
Directions for answering:
Choose the correct word in the parenthesis in the sentence above and type it exactly as shown into the answer
space.
Answer:
msnsjakzooapaozoziznzn zjzkzkamamz xnejiqpwkx
What is the slope of the line represented by the equation Y=4/5x-3?
Camila and her children went into a bakery and she bought $35 worth of cupcakes
and brownies. Each cupcake costs $3.75 and each brownie costs $2.50. She bought a
total of 10 cupcakes and brownies altogether. Write a system of equations that could
be used to determine the number of cupcakes and the number of brownies that
Camila bought. Define the variables that you use to write the system.
Answer:
x + y = 10
3.75x + 2.5y = 35
Step-by-step explanation:
Got it correct
PLEASE HELP ME I NEED AN ANSWER FAST PLEASE THANK YOU
Answer:
your answer will be $29.
1 LB= $4
4 Oz = $1
Solve the inequality for x.
–3x + 6 –3
D) x > –7
3x-8y=-2 and 14x+8y=36
Answer:
X=2
Y=1
Step-by-step explanation:
........... Solution on the photo above
Can you help me with this math problem? Im having a hard time with it, if you can explain it too that would help a lot. attachment below
Answer:
[tex]3^{-3}\cdot \:\:8^{-3}=\frac{1}{24^3}[/tex]
Thus, the equivalent expression is: [tex]\frac{1}{24^3}[/tex]
Step-by-step explanation:
Given the expression
[tex]3^{-3}\cdot 8^{-3}[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}[/tex]
[tex]=8^{-3}\cdot \frac{1}{3^3}[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}[/tex]
[tex]=\frac{1}{3^3}\cdot \frac{1}{8^3}[/tex]
[tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}[/tex]
[tex]=\frac{1\cdot \:1}{3^3\cdot \:8^3}[/tex]
[tex]=\frac{1}{24^3}[/tex]
Thus,
[tex]3^{-3}\cdot \:\:8^{-3}=\frac{1}{24^3}[/tex]
Thus, the equivalent expression is: [tex]\frac{1}{24^3}[/tex]
A barrel of oil was filled at a constant rate of 6.2gal/min. The barrel had 9 gallons before filling began. Enter an equation in standard form.
Answer:
9 + 6.2x = y
Step-by-step explanation:
x - Gallons per minute
y - Total gallons
So, your answer would be:
9 + 6.2x = y
Could also be written as:
y = 9 + 6.2x
Hope this helps :)
The graphs below have the same shapes what is the equation of the blue graph
khloe and her children went into a movie theater where they sell bags of popcorn for $7 each and candies for $4 each. khope has $60 and must buy no less than 11 bags of popcorn and candies altogether. if x represents the number of bags of popcorn purchased and y represents the number of candies pruchased, write and solve a system of inequalities and determine one possible solution
both inequalities must start with y
Answer: Khloe could buy 3 bags of popcorn and 9 candies.
Step-by-step explanation:
\underline{\text{Variable Definitions:}}
Variable Definitions:
x=
x=
\,\,\text{the number of bags of popcorn}
the number of bags of popcorn
y=
y=
\,\,\text{the number of candies}
the number of candies
\text{\textquotedblleft no less than 11 items"}\rightarrow \text{11 or more items}
“no less than 11 items"→11 or more items
Use a \ge≥ symbol
Therefore the total number of bags of popcorn and candies, x+yx+y, must be greater than or equal to 11:11:
x+y\ge 11
x+y≥11
\text{\textquotedblleft \$60 to spend"}\rightarrow \text{can spend \$60 or less}
“$60 to spend"→can spend $60 or less
Use a \le≤ symbol
One bag of popcorn costs $7, so xx bags of popcorn cost 7x.7x. One candy costs $4, so yy candies cost 4y.4y. The total 7x+4y7x+4y must be less than or equal to \$60:$60:
7x+4y\le 60
7x+4y≤60
\text{Solve each inequality for }y\text{:}
Solve each inequality for y:
\begin{aligned}x+y\ge 11\hspace{30px}& 7x+4y\le 60 \\[0.8em] y\ge 11-x \hspace{30px}& 4y\le 60-7x \\[0.8em] \hspace{30px}& y\le \frac{60-7x}{4} \\[0.8em] & y\le 15-\frac{7}{4}x\end{aligned}
x+y≥11
y≥11−x
7x+4y≤60
4y≤60−7x
y≤
4
60−7x
y≤15−
4
7
x
Graph y\ge 11-xy≥11−x by shading up and graph y\le 15-\frac{7}{4}xy≤15−
4
7
x by shading down:
0
the number of bags of popcorn
the number of candies
x
y
0
the number of bags of popcorn
the number of candies
(3, 9)
Since the point (3, 9(3,9) is inside the double shaded region, one possible solution to the system of inequalities would be:
Khloe could buy 3 bags of popcorn and 9 candies.
The system of inequalities are x + y ≥ 11 and 7x + 4y ≤ 60 and the solution is given by the point P ( 3 , 9 ) where x represents the number of bags of popcorn purchased and y represents the number of candies purchased
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Let x represents the number of bags of popcorn purchased and y represents the number of candies purchased
Now , the total number of bags should be no less than 11
And , the inequality is
x + y ≥ 11 be equation (1)
And , cost of each popcorn bag = $ 7
So , the cost of x bags = 7x
And , cost of each candy bag = $ 4
So , the cost of y bags = 4y
The total amount with Khloe = $ 60
And , the inequality is
7x + 4y ≤ 60 be equation (2)
On graphing the inequalities , we can see that the point P ( 3 , 9 ) lies inside the solution
So , 7 ( 3 ) + 4 ( 9 ) ≤ 60
21 + 36 ≤ 60
57 ≤ 60
And , 3 + 9 ≥ 11
12 ≥ 11
Hence , the system of inequalities are solved and the graph is plotted
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One factor of x^2 + 5x - 24 is?
Answer:
(x-3)(x+8)
Step-by-step explanation:
Answer:
(x-3)(x+8) take your pick
In the figure below, lines p and s are parallel.
Answer:
c
Step-by-step explanation:
i used a calculator (they never lie)
Answer:
22
Step-by-step explanation:
60+6x-12= 180
6x = 180 -48
x= 132/6= 22