Answer: I am in highschool and im doing this stuff. If you find out the answer let me know please.
Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.When Tanvi does 18 push-ups and 11 sit-ups, it takes a total of 76 seconds. In comparison, she needs 59 seconds to do 7 push-ups and 19 sit-ups. How long does it take Tanvi to do each kind of exercise?
Let x and y the time it takes Tanvi to do a push-up and a sit-up, respectively; thus, the system of equations is
\(\begin{cases}18x+11y=76 \\ 7x+19y=59\end{cases}\)To solve it using elimination, multiply the second equation by 18/7 and subtract the result to the first equation, as shown below
\(\begin{gathered} \frac{18}{7}(7x+19y)=\frac{18}{7}\cdot59 \\ \Rightarrow18x+\frac{18}{7}\cdot19y=\frac{18}{7}\cdot59 \\ \Rightarrow18x+\frac{342}{7}y=\frac{1062}{7} \end{gathered}\)Then,
\(\begin{gathered} 18x+11y-(18x+\frac{342}{7}y)=76-\frac{1062}{7} \\ \Rightarrow(11-\frac{342}{7})y=76-\frac{1062}{7} \\ \Rightarrow y=\frac{76-\frac{1062}{7}}{(11-\frac{342}{7})} \\ \Rightarrow y=2 \end{gathered}\)Substitute the value of y=2 into the first equation,
\(\begin{gathered} y=2 \\ \Rightarrow18x+11y=18x+22 \\ \Rightarrow18x+22=76 \\ \Rightarrow18x=54 \\ \Rightarrow x=3 \end{gathered}\)Thus, the answer is x=3, y=2. 3 seconds per push-up and 2 seconds per sit-up
Find the length of the chord made by 3x2 - y2 = 3 and y + x – 5 = 0.
Answer:
The correct answer is "9√2 units".
Step-by-step explanation:
The given equations are:
⇒ \(3x^2-y^2=3\)...(equation 1)
⇒ \(y+x-5=0\)...(equation 2)
According to the 2nd equation, we get
⇒ \(y+x-5=0\)
⇒ \(y=5-x\)
On substituting the value of "y" in the 1st equation, we get
⇒ \(3x^2-y^2=3\)
\(3x^2-(5-x)^2=3\)
\(3x^2-(25+x^2-10x)=3\)
\(2x^2+10x-28=0\)
On taking common, we get
\(x^2+5x-14=0\)
On applying factorization, we get
\(x^2+7x-2x-14=0\)
\(x(x+7)-2(x+7)=0\)
\((x+7)(x-2)=0\)
\(x+7=0\)
\(x=-7\)
or,
\(x-2=0\)
\(x=2\)
Now,
The points are:
(-7, 12) = (x₁, y₁)
(2, 3) = (x₂, y₂)
By using the distance formula, the length of chord will be:
= \(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
On substituting the values in the above formula, we get
= \(\sqrt{(2-(-7))^2+(3-12)^2}\)
= \(\sqrt{(9)^2+(-9)^2}\)
= \(\sqrt{81+81}\)
= \(9 \sqrt{2}\) units
The length of a rectangle is five times its width if the perimeter if the rectangle is 120in in find its area
The area of the rectangle is given by the equation A = 500 inches²
What is the Perimeter of a Rectangle?The perimeter P of a rectangle is given by the formula, P=2 ( L + W) , where L is the length and W is the width of the rectangle.
Perimeter P of rectangle = 2 ( Length + Width )
Given data ,
Let the area of the rectangle be represented as A
Now , the equation will be
The perimeter of the rectangle P = 120 inches
The length of the rectangle L = 5 ( width of rectangle )
Now , Perimeter P of rectangle = 2 ( Length + Width )
Substituting the values in the equation , we get
2 ( 5W + W ) = 120
Divide by 2 on both sides of the equation , we get
6W = 60
Divide by 6 on both sides of the equation , we get
W = 10 inches
So , the width of the rectangle = 10 inches
Now , L = 5W
So , the length of the rectangle = 50 inches
And , the area of the rectangle = L x W
Substituting the values in the equation , we get
The area of the rectangle A = 50 x 10
The area of the rectangle A = 500 inches²
Hence , the area of the rectangle is 500 inches²
To learn more about area of rectangle click :
https://brainly.com/question/15725265
#SPJ1
convert into power notation 81/49
Find the slopes of the curve y^4=y^2-x^2 at the two points shown here.
The slope of the curve y⁴ = y² - x² is 1 and repeat the process for the second point.
Find the slopes of the curve y⁴ = y² - x² at the given points, we need to differentiate the equation implicitly with respect to x.
Differentiating both sides of the equation with respect to x, we get:
4y³ * (dy/dx) = 2y * (dy/dx) - 2x
Next, we can solve for (dy/dx) by isolating it on one side of the equation:
4y³ * (dy/dx) - 2y * (dy/dx) = -2x
(2y - 4y³) * (dy/dx) = -2x
(dy/dx) = -2x / (2y - 4y³)
Now, substitute the x and y values for each point into the equation to find the slopes at those points.
For example, if one point is (1, 1), we substitute x = 1 and y = 1 into the equation:
(dy/dx) = -2(1) / (2(1) - 4(1)³)
(dy/dx) = -2 / (2 - 4)
(dy/dx) = -2 / -2
(dy/dx) = 1
Repeat the process for the second point, and you will have the slopes of the curve at both points.
For more such questions on slope visit:
https://brainly.com/question/16949303
#SPJ8
A 16 ounce bottle of orange juice says it contains 200 milligrams of vitamin C, which is 250% of the daily recommended allowance of vitamin C for adults. What is 100% of the daily recommended allowance of vitamin C for adults?
Answer:
there is 50% of vitamins
Step-by-step explanation:
Answer:
Step-by-step explanation:
80 milligrams
The average (A) of two numbers, m and n, is given by the formula A = m+t/2 . Find
the average of the two numbers 36 and 72.
The solution is
Answer:
\(54\)
Step-by-step explanation:
Formula for average A of two numbers m and n is:
\(A=\frac{m+n}{2}\)
Substitute the value m=36 and n=72
\(A=\frac{36+72}{2}\)
This is equivalent to:
\(A=\frac{108}{2}\)
The average is:
\(A=54\)
If f(x) = 2x + 4 and 9 (20) = x - 3, find f (g(x)).
Answer: D
Step-by-step explanation:
To find f(g(x)), you want to take g(x) and plug that into f(x). Since we are given f(x) and g(x), we can go ahead and do that.
f(g(x))=2(x-3)+4 [distribute]
f(g(x))=2x-6+4 [combine like terms]
f(g(x))=2x-2
Now, we know that f(g(x))=2x-2.
Select the better deal in the pair. Then give the unit rate for the better deal.
$106
________
25 gal
or
$82.05
_______
20 gal
The (select) deal is better. The unit rate of the better deal is $ ???
Answer: 82.05/20
unit rate: 4.10 per gallon
Step-by-step explanation:
Find the unit rate for both by dividing them.
Shannon is making identical balloon arrangements for a party. She has 32 maroon balloons, 24 white balloons, and 16 orange balloons. She wants each arrangement to have the same number of each color. What is the greatest number of arrangements that she can make if every balloon is used?'
Answer:
4
Step-by-step explanation:
16 = 2 * 2 * 2 * 2
24 = 2 * 2 * 2 * 3
32 = 2 * 2 * 2 * 2 * 2
HCF = 2 * 2 * 2 = 8
Possible common factors are 1 , 2 , 4 , 8
Ratio in which flowers to be used 16:24 : 32
= 2 : 3 : 4
4 Possible arrangement
Orange White Baloon
2 3 4
4 6 8
8 12 16
16 24 32
Evaluate this expression for a = 3 and b = 4.
(a + 4)
b 3(8 + 2)
+
b-2
ad
A. 6
B.
9
O C. 11
D.
18
O
Answer:
The answer should be D
Step-by-step explanation:
I hope this helps
A die is rolled 5 times. What is the probability that 1 occurs twice, 2, 3 and 4 occur once each, and 5 and 6 do not occur (round off to fourth decimal place)
Answer:
0.0077
Step-by-step explanation:
From the given information;
Each outcome possesses the same probability of 1/6 in a single roll.
The required probability can be estimated by using the multinomial distribution;
Therefore;
\(P = \dfrac{5!}{2!\times 1!\times 1!\times\times 1! }\times (\dfrac{1}{6})^2\times (\dfrac{1}{6})\times (\dfrac{1}{6})\times (\dfrac{1}{6})\)
\(P = 60\times (\dfrac{1}{36})\times\dfrac{1}{216}\)
P = 0.0077
The required probability = 0.0077 to 4 decimal decimals
what is the anwser to 22.4 x17.82
Answer:
3399.168
Step-by-step explanation:
Answer:
399.168
Step-by-step explanation:
When you write a two column proof, the first thing in the reason column is always.....
I WILL MARK BRAINLIST
The first thing in the reason column of a two colum proof is always GIVEN as it always coincide with an established fact which has been stated in the question to be worked on.
Two colum proofs involves using a tabulated format in establishing a conjecture.
Statements or facts are written on one side and the reason why the statement is true is stated in the reason column which is on the opposite side.
Starting a two column proof usually involve stating the the assumptions which are given about the shape or geometry.
Since each statement made requires a reason, then the reason behind the first statement which is based on what is stated in the question is written as GIVEN.
THEREFORE, after the statement given in the question has been established, then other reasons such as distributive, Commutative and other reasons may be used to proof one's solution statement.
Learn more :https://brainly.com/question/22172471
Do we have to always use subtraction in finding measurements in numberline ?
Answer:
No we sometimes use addition and other ways not only subtraction.
Step-by-step explanation:
Help please friendssssssssss
Answer: 6/(6+2x) ; (-infinity, -3) U (-3, infinity)
Step-by-step explanation:
(a) This can be read as f(x) composed of g(x). Plug in the expression given for g(x) for every x value in f(x):
(6/x)/(6/x+2)
I gave the terms in the denominator the same denominator to combine the bottom two terms into one term. 6/x + 2 is equal to 6/x + 2x/x -->
(6 +2x)/x
Do the classic keep, change, flip. \(\frac{6}{x} * \frac{x}{6+2x}\)
This simplifies to: \(\frac{6}{6+2x}\)
(b) Domain is all real numbers except for what makes the denominator equal to 0. 6 + 2x = 0 when x = -3. Therefore it is all real numbers except -3.
HELP ME PLEASEEEEEEEEEEE
Answer:
2
Step-by-step explanation:
3x2=6
s=2
Plz brainly and like :D
Answer: 2
Step-by-step explanation: Hope this help :D
What number comes next? 6, 9, 12, 15
Answer:
18
Step-by-step explanation:
Answer: 18, 21, 24, 27, 30
Step-by-step explanation:
Which algebraic expression represents this mathematical statement?
the product of 7 and a number
Answer:
C
Step-by-step explanation:
When you have the product of something means it’s a multiplication problem so it 7 x n
Use a geometric tool to draw a circle. Draw and measure a radius and a diameter of the circle .
Answer:
Attached is an example of a circle with a radius of 5 and a diameter of 10.
If this answer helped you, please leave a thanks or a Brainliest!!!
Have a GREAT day!!!
helpppppppppppppppppp
Answer:
y= 5
Step-by-step explanation:
What to do:
. Substitute x into 36. The square root of 36 is 6 minus 1 is 5
What not to do:
minus 36 by 1 to get to 35 then put in a square root which is 5.91 etc.
Its factorial math pleaseHelp.
\(\dfrac{7!4!}{5!3!}=6\cdot7\cdot4=168\)
Mario wants a go-kart that costs $245 , and Link wants a bike that costs $320 , they both have an allowance of $400, how much money will they have left in total once they buy what they want?
help plz
Answer:
they would have a total of $235 left
Step-by-step explanation:
add both totals of Mario and Link's go-kart and bike,
which is 565.
then subtract the total of both link's and Mario's allowance from 565,
they have 400 each, so a total of $800.
Which would become 800-565.
So then, Mario and Link would have a total of $235 leftover after buying what they wanted
-I hope this helps!
When 30% of a number is added to the number, the result is 156. what is the number?
Answer: 120
Step-by-step explanation:
Let the number = x.
Setting up the equation, we get
x+0.3*x = 156
1.3x = 156
x = 120
Answer:
120
Step-by-step explanation:
x= the number
x+0.3*x = 156
1.3x = 156
x = 120
hope this helps
Please help.........
Answer:
a
Step-by-step explanation:
a local hamburger shop sold a combined total of 613 hamburgers and cheeseburger on Friday. there were 63 more cheeseburger sold than hamburger. How many hamburger were sold on friday
Answer:
275 hamburgers was sold on Friday
14.127 divided by 5.1 show work
9514 1404 393
Answer:
2.77
Step-by-step explanation:
Usually we like to do long division with the divisor being an integer. Here, that means the decimal points in both numbers are moved one place to the right. This makes the division be 141.27/51 = 2.77. The work is shown in the attachment.
Select the correct answer.
Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x) = f(x - 11)?
A. It is the graph of f(x) where the slope is increased by 11.
It is the graph of f(x) translated 11 units to the left.
It is the graph of f(x) translated 11 units up.
It is the graph of f(x) translated 11 units to the right.
B.
C.
OD.
The correct answer is C. It is the graph of f(x) translated 11 units to the left.
The correct answer is:
C. It is the graph of f(x) translated 11 units to the left.
When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.
In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.
The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.
Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.
for more such question on graph visit
https://brainly.com/question/19040584
#SPJ8
determining probability of events. please help!
Answer:
23/90
Step-by-step explanation:
55/90 + 12/90 = 67/9090 - 67 = 2323/9023/90 balls are green or white
i hope this helps!
Planes T and X are parallel. Plane T contains line a. Plane X contains line b.
Planes T and X are parallel. Plane T contains line a and plane X contains line b.
Which best explains the relationship between lines a and b?