what is the constant of the proportionality in the equation y = 7x
Answer:
7
Step-by-step explanation:
The equation of direction variation is
y = kx where k is the constant of variation
y = 7x so 7 is the constant of variation
Answer:
7
Step-by-step explanation:
The equation of direction variation:-
y = kx where k is the constant of variation -> Eq 1
y = 7x -> Eq 2
Comparing Eq 1 and Eq 2,
k=7
Ramesh buys 10 containers of juice from one shop and 18 containers of the same juice
from another shop. If the capacity of each container is same and the cost of each of the
container is ₹150, find the total money spend by Ramesh.
4200
Step-by-step explanation:
10 × 150 = 1500
18 × 150 = 2700
So
1500 + 2700 = 4200
Here is a `5`-by-`8` grid.
Create a design so that there are `3` times as many unshaded squares as there are shaded squares.
x = number of shaded squares
3x = number of unshaded squares
This is because there are 3 times as many unshaded squares compared to shaded
unshaded = 3*(shaded)
Since there are 5*8 = 40 squares overall, this means,
shaded+unshaded = 40
x+3x = 40
4x = 40
x = 40/4
x = 10
There are 10 shaded squares and 3x = 3*10 = 30 unshaded squares.
So you'll shade in 10 squares in any fashion you prefer.
(10-1)(10-2)(10-3)(10-10)
Answer:
0
Step-by-step explanation:
(10-1=9)(10-2=8)(10-3=7)(10-10=0)
9*8*7*0=0
HOW MANY DEGREES IN A SUPPLEMENTARY ANGLE???
Answer:
180 degrees
Step-by-step explanation:
simplify simplify simplify simplify
[tex]\boxed{\sf a^m\times a^n=a^{m+n}}[/tex]
[tex]\boxed{\sf a^m\div a^n=a^{m-n}}[/tex]
[tex]\\ \sf\longmapsto 3^{-6}\times( 3^4\div 3^0)^2[/tex]
[tex]\\ \sf\longmapsto 3^{-6}\times (3^{4-0})^2[/tex]
[tex]\\ \sf\longmapsto 3^{-6}\times 3^{4(2)}[/tex]
[tex]\\ \sf\longmapsto 3^{-6}\times 3^8[/tex]
[tex]\\ \sf\longmapsto 3^{-6+8}[/tex]
[tex]\\ \sf\longmapsto 3^2[/tex]
Answer:
[tex] {3}^{2} [/tex]
Step-by-step explanation:
[tex] {3}^{ - 6} \times ( {3}^{4} \div {3}^{0} {)}^{2} [/tex]
[tex] {3}^{4} \div {3}^{0} = {3}^{4 + 0} = {3}^{4} [/tex]
[tex] {3}^{ - 6} \times ( {3}^{4} {)}^{2} [/tex]
[tex]( {3}^{4} {)}^{2} = {3}^{4 \times 2} = {3}^{8} [/tex]
[tex] {3}^{ - 6} \times {3}^{8} = {3}^{ - 6 + 8} = {3}^{2} [/tex]
[tex] \boxed{\green{= {3}^{2} }}[/tex]
Find the 13th term of the geometric sequence 4,-8,16
Answer:
4, -8, 16
scale factor = x-2
4, -8, 16, -32, 64, -128, 256, -512, 1024, -2048, 4096, -8192, 16384
answer = 16,384
Z= 1+2x,for x
Immediate help pls
Answer:
Z/2-1/2=x
Step-by-step explanation:
Z=1+2x
subtract 1 from both sides
Z-1=2x
divide both sides by 2
Z/2-1/2=x
Answer:
x= z-1/2 is the solution. thank you
The GCF of two numbers is 3.
Their LCM of the two numbers is less than 20.
Which could not be the two numbers?
Answer:
Step-by-step explanation:
Let say a and b the 2 natural integers with 0 < a< b.
Since a*b=GCF(a,b)*LCM(a,b)
a*b < 3*20=60
[tex]\begin{array}{c|c|c|c|c|c}a&b&a*b&GCF&LCM&GCF*LCM\\---&---&---&---&---&---\\3&6&18&3&6&18\\3&9&27&3&9&27\\3&12&36&3&12&36\\3&15&45&3&15&45\\3&18&54&3&18&54\\6&9&54&3&18&54\\---&---&---&---&---&---\\\end {array}[/tex]
4 workers can dig 4 holes in 4 hours, how long will it take to dig 6 holes with 2 workers
Answer:
12 hours
Step-by-step explanation:
each worker digs a hole and takes 4 hours doing so
2 workers dig 3 holes each, 3*4=12, 12 hours
Answer:
12 hours
Step-by-step explanation:
4 workers can dig 4 holes in hours=4
1 worker ,, ,, 4 ,, ,, ,, =4×4=16
1 ,, ,, ,, 1 hole ,, ,, =16÷4=4
2 ,, ,, ,, 1 ,, ,, ,, =4÷2=2
2 ,, ,, ,, 6 holes ,, ,, =2×6=12
7. You are on a field trip. You have to travel 73 miles to reach
your destination. You have traveled 29 miles so far. How
much further do you have to travel?
10 marbles.
Answer:
44
Step-by-step explanation:
Take the miles you already traveled and subtract it from the total.
73-29=44
A certain forest covers an area of 5000 km². Suppose that each year this area decreases by 5%. What will the area be after 10 years?
Use the calculator provided and round your answer to the nearest square kilometer.
Answer:
The forest will cover an area of approximately 2994 square kilometers after 10 years.
Step-by-step explanation:
A forest covers an area of 5000 square kilometers. Each year, the area of the forest decreases by 5%. We want to determine its area after 10 years.
We can write an exponential function to represent the situation. The standard exponential function is given by:
[tex]\displaystyle f(x) = a(r)^x[/tex]
Where a is the initial value, r is the rate, and x is the time that has passed (in this case in years).
Since the original area is 5000 square kilometers, let a = 5000.
Each year, the area decreases by 5%. In other words, for each subsequent year, the forest's area will be 100% - 5% = 95% = 0.95 of its previous year. Hence, r = 0.95.
Thus, our function is:
[tex]\displaystyle f(x) = 5000(0.95)^x[/tex]
Then after 10 years (x = 10), the area will be:
[tex]\displaystyle f(10) = 5000(0.95)^{(10)}= 2993.6846...\approx 2994\text{ km}^2[/tex]
In conclusion, the forest will cover an area of approximately 2994 square kilometers after 10 years.
4. Your first six-month auto insurance premium was $729.00. Based on your good
driving record, your renewal premium is $648.81. What percent decrease did you see
in your premium? (2 points)
I
Answer: 11%
Step-by-step explanation:
729-648.81=80.10
What percent is 80.10 of 729
%/100 = is/of (this may help you)
X/100 = 80.10/729 (cross multiplication)
(80.19*100)/729 =
11%
Please help quick I still can’t figure it out
Step-by-step explanation:
3+21+7+3+21+7
Pls help me out on this question, Find the sum of this first 8 terms of the Arithmetic Progression. log x, log x2, logx3
How do you write a number less than one and one-third in an algebraic expression?
Step-by-step explanation:
x<1
x<(1/3)
yes this is the answer
If 2x - 4= 16 for some value of x, then
what is the value of x + 2 for the same
value of x?
Answer:
12
Step-by-step explanation:
2x - 4= 16
Divide by 2
2x/2 -4/2 = 16/2
x -2 = 8
Add 4 to each side
x-2+4 = 8+4
x+2 = 12
Solve the inequality. Graph the solution - 30 points
[tex]\\ \rm\Rrightarrow 26+6b\geqslant 2(3b+4)[/tex]
[tex]\\ \rm\Rrightarrow 26+6b\geqslant 6b+8[/tex]
[tex]\\ \rm\Rrightarrow 6b-6b\geqslant 8-26[/tex]
[tex]\\ \rm\Rrightarrow 0\geqslant -14[/tex]
Hence
It has no solutions
Answer:
A. All Real Numbers
Step-by-step explanation:
26 + 6b ≥ 2(3b + 4)
~Simplify
26 + 6b ≥ 6b + 8
~Subtract 26 to both sides
6b ≥ 6b - 18
~Subtract 6b to both sides
0 ≥ -18
Best of Luck!
An astronaut weighs 685 N on earth. What would the astronaut's weight (in FORCE) be on Jupiter where gravity= 25.9 m/s2? (*Tip: Solve for the astronaut’s MASS in the Earth, and then procced with his weight, in Newton in Planet Jupiter.) Use G-R-E-S-A, Given. Required, Equation, Solution, Answer
Answer:
Step-by-step explanation:
I'm sure by now you have learned the difference between mass and weight. Mass will never change regardless of where something is while weight changes depending upon the pull of gravity. If we want the mass, then we have to take the weight on Earth and divide by its pull of gravity. The equation for that will be
W = mg where W is the weight in Newtons, m is mass and g is gravity.
685 = m(9.8) so
m = 7.0 × 10¹ kg
Now that we know that mass, and also because we know that the mass is constant no matter where the astronaut is, we can find his weight on Jupiter.
W = (7.0 × 10¹)(25.9) so
W = 1800 N
Multiply.
(a) 0.8 x 0.9
Answer:
0.72
Step-by-step explanation:
hope that helps!
jordan cooked a 16 1/5 pound turkey in 5 2/5 hours. How many minutes per pound did it take to cook the turkey?
Answer:20 minutes per pound
we know that
To find the unit rate divide the total time by the total weight
Convert mixed number to an improper fraction
Convert hours to minutes
so
Find the unit rate
therefore
20 minutes per pound
Can someone please explain how to find the difference -7 - (-8)
Answer:
1
Step-by-step explanation:
In the equation -7 - (-8), there are two 'minus' signs; we can convert two minus signs into a plus sign according to the 'minus minus equals plus' rule, that would make the equation (-7) + 8 for which the answer is +1.
Answer:
1
Step-by-step explanation:
-7-(-8)
First you should solve the brackets.Remeber (-) minus into (-) equal (+)therefore;
-7-(-8)= -7+8
when there is a minus and a plus you should minus the two numbers and put the largest value sign.therefore;
-7+8= 1
Hope you understand.If you have any problem just ask me I will solve it.
−9+x ≤ 4
what is x
(so it passes:iuyhtgfghuytg)
Answer:
[tex]x \leqslant 13[/tex]
Step-by-step explanation:
[tex] - 9 + x \leqslant 4 \\ x \leqslant 4 + 9 \\ x \leqslant 13[/tex]
Prove cot(− θ) =− cot(θ)
Step-by-step explanation:
steps are in the picture.
Note:If you need to ask question about it ,i can make you understand.thanks
The H.C.F. of m²-n² and (m-n)² is ...
Answer:
(m-n)
Step-by-step explanation:
1st expression=
[tex] = {m}^{2} - {n}^{2} \: \: \: \: \: \: \: \: \: \: [/tex]
=(m-n) (m+n)
2nd expression=
[tex] ({m - n})^{2} [/tex]
=(m-n)(m-n)
therefore H.C.F=(m-n)
taking common (m-n)
I will give brainlist to whoever will do this for me and I will help with anything you need
(x^4)^2
how do I simplify this expression?
Answer:
x^8
Step-by-step explanation:
(x^4)^2
~Apply power rule [ (a^b)^c = a^bc ]
x^4(2)
~Simplify
x^8
Best of Luck!
Step-by-step explanation:
[tex] { {x}^{4} }^{2} \\ {x}^{4 \times 2} \\ {x}^{8} \\ thank \: you[/tex]
Someone help me please
Answer:
option a
Step-by-step explanation:
all positive real numbers
What is 2 5/6 + 7/4
A. 2 2/5
B. 3 1/5
C. 3 4/5
D. 4 7/12
Answer:
D
Step-by-step explanation:
2 5/6=2 10/12
7/4=1 3/4= 1 9/12
2 10/12+1 9/12= 4 7/12
you can just change the denominators to the same which is 12. Hope you appreciate it!
Which two lines are parallel?
Which line is the transversal? How do you know
please help,its a grade
Answer: The 2 red lines are parallel and the blue line is transversal
Step-by-step explanation:
The 2 red lines are parallel (align with each other)
The blue line goes thru the other 2 lines meaning its transversal.