Given:
s is inversely proportional to t.
When s = 0.5, t = 7.
To find:
The value of s when t=0.8.
Solution:
s is inversely proportional to t.
[tex]s\propto \dfrac{1}{t}[/tex]
[tex]s=\dfrac{k}{t}[/tex] ...(i)
Where, k is the constant of proportionality.
Putting s=0.5 and t=7, we get
[tex]0.5=\dfrac{k}{7}[/tex]
[tex]0.5\times 7=k[/tex]
[tex]3.5=k[/tex]
Putting k=3.5 in (i), we get
[tex]s=\dfrac{3.5}{t}[/tex]
This is the equation of proportionality.
Putting t=0.8, we get
[tex]s=\dfrac{3.5}{0.8}[/tex]
[tex]s=4.375 [/tex]
Therefore, the value of s is 4.375 when t=0.8.
Can someone answer this please with an explanation.
Answer:
x=92
Step-by-step explanation:
those to angles are supplementary meaning that they add up to equal 180
so you set up the equation 180=x+x-4
180=2x-4
step 1 add 4 to each side
184=2x
step 2 divide each side by 2
x=92
so the angles equal 92 and 88
Answer:
92°
Step-by-step explanation:
180 degrees on a straight line.
2x - 4 = 180
2x = 184
X = 92°
Can anyone answer this for me thanks.
Answer:
ghhhbvhnv
Step-by-step explanation:
kjkjkjjn,nj,jn,jn
Solve the simultaneous equations
y = 2x^2
y = 3x + 14
Answer:
x = -2
And, x = 7 ÷ 2
Step-by-step explanation:
Given that
y = 2x^2
y = 3x + 14
Now equate these two above equations
2x^2 = 3x + 14
2x^2 - 3x - 14
2x^2 -7x + 4x - 14
x(2x - 7) + 2(2x - 7)
(x + 2) (2x - 7)
So it can be x = -2
And, x = 7 ÷ 2
Leandro wants to estimate the proportion of light bulbs that arrive broken upon shipment to his store. He
takes a random sample of 500 bulbs and finds that 25 arrived broken. He's willing to assume independence
between bulbs in the sample.
Answer:0.05+1.645v0.05(0.95)/500
Step-by-step explanation:
Lucky you it's sale time at Best Buy! This TV was originally $229 it's now on sale for 25% off. How much is the TV now?
Answer:
0.000725 i think :)
Step-by-step explanation:
Divide the number by 100 (move the decimal place two places to the left).
Multiply this new number by the percentage you want to take off.
factorise: x^{2} -49
Answer:
[tex] {x}^{2} - 49 = 0 \\ {x}^{2} = 49 \\ x = \sqrt{49} \\ x = 7[/tex]
HELP!! please, quick!
Answer:
The answer is B
Step-by-step explanation:
To rotate a figure 90 degrees clockwise the figure needs to be moved from (x,y) to (y,-x)
The original figure lies at A (5,5) B (5,1) C (2,1) D (1,5)
Rotating the figure 90 degrees clockwise would be A' (5-,5), B' (1,-5), C' (1,-2), D' (5-1)
6) solve the equation for m
Answer:
m=48
Step-by-step explanation:
m/3=18-2
m/3=16
m=16x3
m=48
Answer:
m=48
Step-by-step explanation:
Subtract 2 from both sides
2+m/3-2=18-2
Simplify
m/3=16
Multiply both sides by 3
3m/3=16*3
simplify
m=48
help asap i will brainlist
Answer:
8-3n
The way you know is 8 is the hidden word....
in there and it say 3 times nathans...
So you will take n and times it bye 3..
by doing 3n so 8-3n is your anwser...
Pwease Mark me Brainliest TY OwO
Find the value of x. Then classify the triangle by its angles.
PLEASE HELP URGANT
which is true?
Answer:
Step-by-step explanation:
B. A graph of 2 variables will have numerous points, they can be both positive and negative.
Find the slope of the line that passes through
(7,-1) and (9,0)
Answer:
1/2 or 0.5
Step-by-step explanation:
so to find the slope of two points you use the slope formula which is rise over run, y2-y1/x2-x1. so that would be -1-0/7-9. leading to -1/-2. so the slope is 1/2 or 0.5.
im putting all the questions in one to make it easier
I'll focus on problem 19 and problem 22
============================================================
Problem 19
Answers:
x = 87x+15 = 102-------------------------------
Explanation:
The horizontal lines are parallel. Note the arrow markers along the interior portion of the lines. These similar markers tell us how the lines pair up to be parallel to one another.
Since the horizontal lines are parallel, this means the angles in question are congruent. They are corresponding angles.
x+15 = 102
x = 102-15
x = 87
Which leads to
x+15 = 87+15 = 102
============================================================
Problem 22
Answer: y = 27
-------------------------------
Explanation:
We have a pair of alternate exterior angles. They are congruent due to the parallel lines.
Let's solve for y.
7y-55 = 3y+53
7y - 3y = 53+55
4y = 108
y = 108/4
y = 27
Find the 75th term of the arithmetic sequence -17, -13, -9....
Answer:
The 75th term of the arithmetic sequence -17, -13, -9.... is:
[tex]a_{75}=279[/tex]
Step-by-step explanation:
Given the sequence
[tex]-17, -13, -9....[/tex]
An arithmetic sequence has a constant difference 'd' and is defined by
[tex]a_n=a_1+\left(n-1\right)d[/tex]
computing the differences of all the adjacent terms
[tex]-13-\left(-17\right)=4,\:\quad \:-9-\left(-13\right)=4[/tex]
The difference between all the adjacent terms is the same and equal to
[tex]d=4[/tex]
The first element of the sequence is:
[tex]a_1=-17[/tex]
now substitute [tex]d=4[/tex] and [tex]a_1=-17[/tex] in the nth term of the sequence
[tex]a_n=a_1+\left(n-1\right)d[/tex]
[tex]a_n=4\left(n-1\right)-17[/tex]
[tex]a_n=4n-21[/tex]
Now, substitute n = 75 in the [tex]a_n=4n-21[/tex] sequence to determine the 75th sequence
[tex]a_n=4n-21[/tex]
[tex]a_{75}=4\left(75\right)-21[/tex]
[tex]a_{75}=300-21[/tex]
[tex]a_{75}=279[/tex]
Therefore, the 75th term of the arithmetic sequence -17, -13, -9.... is:
[tex]a_{75}=279[/tex]
F Which conditions are sufficient to prove a quadrilateral is a square?
1. All four sides are congruent.
II. The diagonals are congruent.
III. The diagonals bisect each other.
A. l only
B. l and II
C. l and III
D. ll and III
Answer:
I think the answer is a .
Jason needs to run 30 laps before basketball practice. His coach makes a deal with the team that on Friday’s they only need to complete 5/6 of that.
Write an expression or equation to represent the number of laps to complete on Friday.
Answer:
a little bit less than 30
Step-by-step explanation:
sewing a border of ribbon onto her rectangular picnic blanket. The long side of the blanket is 70cm and the short side is 40cm. How much ribbon will she need?
Answer:
[tex]220[/tex] cm
Step-by-step explanation:
We need to find the perimeter of the rectangular blanket in this case because a border is being sewn onto the blanket. The perimeter of a rectangle can be calculated by multiplying the sum of the rectangle's length and width by 2. As an algebraic expression, that would be [tex]2(l+w)[/tex], where [tex]l[/tex] is the rectangle's length and [tex]w[/tex] is the rectangle's width. We are given that [tex]l=70[/tex] and [tex]w=40[/tex]. Therefore, [tex]2(70+40)=2*110=220[/tex] cm of ribbon will be needed. Hope this helps!
7 times m help helpp
PLEASE HELP IM STRUGGLING IN MATH!! THANK YOU!!!!❤️
Answer:
$5193.77
Step-by-step explanation:
You want to figure out what x is.
Since x is the number of years after 1996, you can do 2005 - 1996 = 9 years.
Then, plug x = 9 into the equation:
y = 11,000(0.92)^9
Plug this into a calculator and you get: y = $5193.77
compare fractions, -10 1/5 and -10 1/4
Answer:
4/20 - 5/20 = -1/20, and therefore, since the answer is negative, you've proven that 5/20 (or the original 1/4) is actually the bigger number, not the 4/20 (or 1/5).
Step-by-step explanation:
A family eats at a restaurant. The bill, including tax, is $45. The family then leaves a 20% tip. How much did the family spend on the meal? *
Answer:
$54
Step-by-step explanation:
45 increase 20% =
45 × (1 + 20%) = 45 × (1 + 0.2) = 54
i am a multiple of 7, i am also a mutiple of 3 my units digit is half my tens digit. Thanks!
Answer:
21 or 42......both work
(PLEASE HELP)Solve the given system using your choice of either graphically or algebraically. Show and explain all work.
y = 2x - 4
x + 2y = 12
Answer:
algebraically.
y = 2x - 4........….....(1)
x + 2y = 12..............(2)
substituting the value of y in equation (2) we get
x+2(2x - 4)=12
x+4x-8=12
5x=12+8
x=20/5=4
substituting the value of x in equation(1) we get
y=2×4-4=8-4=4
:.(x,y)=(4,4)answer
The value of x = 4
The value of y = 4
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the first equation be = A
Let the second equation be = B
Now ,
y = 2x -4
Subtracting 2x on both sides , we get
y - 2x = -4 be equation (1)
And ,
x + 2y = 12 be equation (2)
Now , on simplifying the two equations , we get
Multiply equation (1) by 2 , we get
2y - 4x = -8 be equation (3)
Now , subtract equation (3) from equation (2) , we get
5x = 20
Divide by 5 on both sides , we get
x = 4
Therefore , the value of x is 4
Substitute the value of x in equation (2) , we get
4 + 2y = 12
Subtracting 4 on both sides , we get
2y = 8
Divide by 2 on both sides , we get
y = 4
Therefore , the value of y is 4
Hence , The value of x and y is 4
To learn more about equations click :
https://brainly.com/question/10413253
#SPJ2
This is very important pls help zoom in if you can’t see will really appreciate your help
I got you! Just tell me what the zoom login is so I can help
For each point on the unit circle, select the angle that corresponds to it.
Click each dot on the image to select an answer.
Answer:
A. ~30°
B. ~240°
C. ~330°
Step-by-step explanation:
Match each system of equations to its solution represented by an augmented matrix.
Answer:
Step-by-step explanation:
HELP ME PLEASE WITH ANY QUESTION
Answer:
1.) -9
2.) 1/3 or 0.3
5.) 4
6.) 2.9
Step-by-step explanation:
Add.
(2x4+x3−4x2+3)+(4x4−2x3−x2+10x+2)
Express the answer in standard form.
Enter your answer in the box.
Answer: 6x^4-x^3-5x^2+10x+5.
Step-by-step explanation:
Answer:
See screenshot
Step-by-step explanation:
Jacques wants to make up packs of $0.45 comic books mixed with $0.75 ones to sell at $9.00 per pack. The number of $0.45 comic books is 4 more than the number of $0.75 comic books. Find the number of each type in the pack.
Answer:
The number of each type in the pack is 5 of $0.45 comic books and 9 of $0.75 comic books
Step-by-step explanation:
A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.
Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied.
In this case, the unknowns or unknown variables are:
x: number of $ 0.45 comic books
y: number of $ 0.75 comic books
Jacques wants to make up packs of $0.45 comic books mixed with $0.75 ones to sell at $9.00 per pack. Then the equation that represents this situation is:
x*0.45 + y*0.75= 9
On the other side, the number of $0.45 comic books is 4 more than the number of $0.75 comic books. Then the equation that represents this situation is:
x+4=y
The system of equations to solve is:
[tex]\left \{ {{x*0.45+y*0.75=9} \atop {x+4=y}} \right.[/tex]
One way to solve a system of equations is the substitution method, which consists of solving one of the unknowns in one of the equations and substituting its value in the next.
In this case we directly replace the expression of the variable and of the second equation in the first:
x*0.45 + (x+4)*0.75= 9
Solving:
x*0.45 + 0.75*x + 4*0.75= 9
1.2*x + 3=9
1.2*x= 9-3
1.2*x= 6
x= 6÷ 1.2
x=5
Replacing this value in the expression x+4=y you get:
5 +4=y
9=y
The number of each type in the pack is 5 of $0.45 comic books and 9 of $0.75 comic books
The value of x =
60°
5
x
30°
Answer:
10
Step-by-step explanation:
with reference angle 30°
perpendicular (p) = 5
hypotenuse (h) = x
Now
sin 30° = p / h
1 / 2 = 5 / x
x = 10
Hope it will help :)