Answer:
13
Step-by-step explanation:
HCF = Product of two numbers ÷ LCM of these numbers
HCF = [tex]\frac{169}{13}[/tex]
= 13
What is an equation of the line that passes through the points (-6,-5) and (-4,-6)? Put your answer in fully redued form.
Answer:
y=-5/2x-16
Step-by-step explanation:
1. Find the slope using the slope formula and the two coordinates provided.
m=y2-y1/x2-x1
Put the y values from both coordinates on top and the x values on bottom.
-6--5/-4--6
Solve for M. -6--5/-4--6 = -6+1/-4+6
= -5/2
Slope is -5/2.
2. Using the slope and one of the coordinates (doesn't matter which), put the equation in point-slope form: y-y1=m(x-x1)
y+6=-5/2(x+4)
3. Distribute the -5/2 to x+4 and simplify (multiply x and 4 by -5/2)
y+6=-5/2x-10
Subtract 6 from both sides to get y by itself.
y=-5/2x-16
4. y=-5/2x-16 is your answer
why did my dad hasn't come back with the milk after ten years?
Answer: gta wasted
Step-by-step explanation: your dad left for milk
write the word sentence as an ineguality.
1. A number W is greater than -3.
2. A number y minus 1/2 is no more than -3/2.
Answer:
w > -3
y - 1/2 ≤ -3/2
A department store is having a holiday sale. Mr. Smith bought a couch
that had a regular price of $500. He received a $150 discount. What was
the percentage of the discount that Mr. Smith received?
Answer:
Step-by-step explanation:
500×30=15000
20 POINTS PLS HELP
(((95*26)-470)/16)-35=______________
not 4 a test
Answer:
90
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
(((95 × 26) - 470)/16) - 35
Step 2: Evaluate
(Parenthesis) Multiply: ((2470 - 470)/16) - 35(Parenthesis) Subtract: (2000/16) - 35(Parenthesis) Divide: 125 - 35Subtract: 903. Find the class size, class mark Lower limit and upper limit of the class interval 150-200
Answer:
See Explanation
Step-by-step explanation:
Class size = 200 - 150 = 50
Class mark = (150 + 200)/2 = 350/2 = 175
Lowe limit = 150
Upper limit = 200
You deposit $2200 in the account that pays 3% annual interest compounded continuously after 20 years you withdraw the money what formula do you use
Answer: 6600
Step-by-step explanation:
To find the original price, first we need to answer, \$\greenD{1.54}$1.54dollar sign, start color #1fab54, 1, point, 54, end color #1fab54 is \blueD{5.5}\%5.5%start color #11accd, 5, point, 5, end color #11accd, percent of what number?
Hint #22 / 5
Percent means per hundred, so \blueD{5.5}\%5.5%start color #11accd, 5, point, 5, end color #11accd, percent is equivalent to \blueD{\dfrac{5.5}{100}}
100
5.5
start color #11accd, start fraction, 5, point, 5, divided by, 100, end fraction, end color #11accd which is also equal to \blueD{5.5\div 100}5.5÷100start color #11accd, 5, point, 5, divided by, 100, end color #11accd.
\blueD{5.5 \div 100 = 0.055}5.5÷100=0.055start color #11accd, 5, point, 5, divided by, 100, equals, 0, point, 055, end color #11accd
Hint #33 / 5
To find the original price, we need to know \blueD{0.055}0.055start color #11accd, 0, point, 055, end color #11accd times what number equals \greenD{1.54}1.54start color #1fab54, 1, point, 54, end color #1fab54.
\blueD{0.055} \maroonD{x} = \greenD{\$1.54}0.055x=$1.54start color #11accd, 0, point, 055, end color #11accd, start color #ca337c, x, end color #ca337c, equals, start color #1fab54, dollar sign, 1, point, 54, end color #1fab54
Hint #44 / 5
\begin{aligned} \blueD{0.055} \maroonD{x} &= \greenD{\$1.54} \\\\ \dfrac{\blueD{0.055} \maroonD{x}}{\blueD{0.055}} &= \dfrac{\greenD{\$1.54}}{\blueD{0.055}} \\\\ \maroonD{x} &= \maroonD{28} \end{aligned}
0.055x
0.055
0.055x
x
=$1.54
=
0.055
$1.54
=6600
what is the value of x?
Answer:
x=4
Step-by-step explanation:
By SAS we know that
[tex]\triangle ABE \sim \triangle ADC[/tex]
by a ratio of
[tex]1:2[/tex]
so we have
[tex]\frac{BE}{DC}=\frac{1}{2}\\\\2BE=DC\\\\2(x+2)=12\\\\2x+4=12\\\\2x=12-4\\\\2x=8\\\\x=4[/tex]
If 3x + 2y = 10 and 2x + 3y = 15, find the value
of x+y.
Answer:
x+y=5
Step-by-step explanation:
Isolate y in the first equation:
3x+ 2y = 10
2y = 10 - 3x
y= (10 - 3x)/2
substitute this value of y into the second equation:
2x + 3 ((10 - 3x)/2) = 15
now solve for x:
2x + 3/2 (10 - 3x) =15
2x + 15 - 9/2x = 15
-5/2 x = 15 - 15
-5/2 x / (-5/2) = 0/(-5/2)
x=0
now use this value to solve for y:
y = (10 - 3(0))/2
y = 10/2
y = 5
now x+y
0+5=5
Adélie penguins in the Danger Islands represent about 55% of the total Adélie penguin population in the Antarctic Peninsula. They calculated a total of 1,503,054 penguins on the islands.
What is the total estimated Adélie penguin population in Antarctica?
Answer:
Adélie penguins= 826,680
Step-by-step explanation:
Giving the following information:
Total penguin population= 1,503,054
Adélie penguins= 55%
To calculate the number of Adélie penguins, we need to use the following formula:
Adélie penguins= total penguin polulation*proportion of Adélie penguins
Adélie penguins= 1,503,054*0.55
Adélie penguins= 826,680
When the interest on an investment is compounded continuously, the investment grows at a rate that is proportional to the amount in the account, so that if the amount present is P, then dP dt = kP where P is in dollars, t is in years, and k is a constant. If $180,000 is invested (when t = 0) and the amount in the account after 17 years is $421,136, find the function that gives the value of the investment as a function of t. (Round your value of k to two decimal places.)
Answer:
the interest rate on this investment k = 0.05 or 5%
Step-by-step explanation:
Given that;
dp/dt = kp
dp/p = k dt
now we integrate on both sides
integral dp/p = integral k dt
ln p = kt + c
p =e^kt + c
p = ce^kt
Given that p = $180,000 is invested (when t = 0)
p = ce^kt
we substitute
180000 = ce^k×0
180000 = ce^0
180000 = c × 1
c = 180,000
we substitute the value in the equation
p = 180000e^kt
now given that the amount in the account after 17 years is $421,136
i.e at t = 17 and p = 421,136
we substitute
421,136 = 180000e^17k
divide both sides by 180000
421136/180000 = 180000e^17k / 180000
e^17k = 2.3396
17k = In(2.3396)
17k = 0.8499
k = 0.04999 ≈ 0.05
therefore the interest rate on this investment k = 0.05 or 5%
Could someone please help me with this equation, thank you.
-8 + x/5 = 12
Answer:
x = 100
Step-by-step explanation:
1. To get rid of the denominator of 5, multiply both sides of the equation to get 5
-40 + x = 60
2. Add 40 on both sides to get the variable x by itself
x = 60 + 40
3. Solve
x = 100
Answer:
x=100
Step-by-step explanation:
-8+x/5=12
--8+x/5=12+8
x/5=20
5*20=100
x=100
PLEASE HELP DUE IN 5 min
Answer:
The answer is 21
Step-by-step explanation:
Male the shapes look similar by turning the smaller to be the same as the bigger one the compare side and then find xplease help with right answers
Answer:
25
Step-by-step explanation:
the ratio is 4:5
20/4=5
so multiply 5 by 5 and you will get 25
on the number line jump to where it shows the very end where 20 is and at the bottom it is 25
hope that helps
Mabel has 8 coins, all of which are dimes and pennies. In all, they're worth 35¢. How many of each kind of coin does Mabel have?
Answer:
5 pennies
3 dimes
Step-by-step explanation:
Answer:
3 dimes and 5 pennies
Step-by-step explanation:
Dimes can only add up to 10s so, it would have to be 3 dimes. Pennies can only add one at a time. So the answer for pennies would be 5. And 5+3=8.
Hope this helps!
an open top box with a square base and a volume of 4m^3 is to be constructed what should the dimensions of the box be to minimize the surface area of the box?
Answer:
Dimensions of the box:
x = 1,26 ( the side of the square base )
h = 2,52 the heigh of the cube
Step-by-step explanation:
V(b) = x² *h x is the side of the square base, and h the heigh of the cube
The surface area of such cube is:
Area of the base A(b) = x²
Lateral area is 4*x*h
A(c) = x² + 4*x*h
Now x² * h = v = 4 m³ ⇒ h = 4/x² and
A(x) = x² + 4/x
Tacking derivatives on both side of the equation:
A´(x) = 2*x - 4/x²
A´(x) = 0 2*x - 4/x² = 0 ⇒ 2*x³ - 4 = 0
x³ = 2
x = 1,26 m
And h = 4/(1,26)² ⇒ h = 2,52 m
How do we know the value of x = 1,26 is for a minimum value of A(x)
We find the second derivative of A(x)
A´´(x) = 2 - (-4*2*x/x⁴)
A´´(x) = 2 + 8/x³ is positive A´´(x) > 0
Then function A(x) has a minimum value at x = 1,26
Need help!!!!!!!!!!!!!
Answer:
25 units (cant see what it says on the side :/ ) per hour
Step-by-step explanation:
hope this helps <3
Can some on check over my work pls
Not exactly correct.
y=mx+b Slope is m and y intercept is b.
So, here count the units for the slope. it goes barley to the 7th box. Now, count the units for the y intercept. It goes to the fourth box.
Thus, your equation is y=7x+4
[tex]\underline{Hope\;it\;helps\;out!}[/tex]
Solve for x. -1/5(x - 4) = -2
Answer:
x=14
Step-by-step explanation:
A. 3(x+2) = 18
T + 2 = 6
1) How can we get Equation B from Equation A?
Answer:
It's 4 I hope this helped.
If I subtracted 2 from 6 in Equation B. I would get 4. Putting 4 to replace the x in Equation A, it makes the equation make sense.
Step-by-step explanation:
3 ( 4 + 2 ) = 18
4 + 2 = 6
find the multiplicative inverse of -2 in mod 7
Answer:
So something mod 7 is -2Lets consider what mod does as a commands: If you have 7 and then mod it by 2 ie 7%2 you get 1 Essentially mod is seeing how many times a # goes into the other number and finding the remainder. In this case we want the remainder of 2: -8%3 =-2note there is also a mathematical procedural way to solve this.Rate positively and give brainlistHELP NOW
The energy created by the WHAT
gradient is used by ATP synthase to chemically
bond a phosphate group to ADP, synthesizing ATP
in the light reactions of photosynthesis,
Answer:
ATP synthase utilizes energy of the proton gradient to attach phosphate group to ADP.
Step-by-step explanation:
PLEASE HELP ME OUT FAST MULTIPLE CHOICE IF YOU DOMT KNOW PLEASE DONT RIGHT ANYTHING!
Answer:
B
Step-by-step explanation:
When you are finding the solution of two lines on a graph, you look at the intersection point and that is the answer. On the given graph, both lines intersect at (4, -3). Thus, that is the solution.
Best of Luck!
1. 400 +4
2. 320+ 4
3. 360 +9
4. 5,0005
5. 3,000 +5
Answer:
1. 400 ÷ 4 = 100
2. 320 ÷ 4 = 80
3. 360 ÷ 9 = 40
4. 5000 ÷ 5 = 1000
5. 3000 ÷ 5 = 600
Answer:
1:100
2:80
3:40
4:1000
5:600
Step-by-step explanation:
find the three dimensional shape
Answer:
Pentagonal Pyrimid
Step-by-step explanation:
which point on the line represents 3/5
Step-by-step explanation:
The correct answer is: Point B.
The easiest way to solve this is to make the fraction, 3/5, to a decimal.
3/5 = 0.6
Since point B is the closest estimate to 0.6 on the number line, we can confirm that Point B represents 3/5.
Answer:
Step-by-step explanation:
I really need the answer ASAP
some one pls help me with this fast
this is you're answer please thanks me
A fruit juice company includes 1.872 ounces of orange juice in a 6.65-ounce bottle of a mixed fruit
juice. How much of the bottle of mixed fruit juice is NOT orange juice?
ounces
(Type a whole number or a decimal.)
Answer:
4.778 ounces
Step-by-step explanation:
Given that:
Ounces of orange juice in mixed fruit juice = 1.872
Ounces of mixed fruit juice = 6.65 ounces
Ounces of Mixed fruit juice that is not orange juice :
(Ounces of mixed fruit juice - Ounces of orange juice)
(6.65 - 1.872) ounces
= 4.778 ounces
Identify the slope in this equation -y = -5x + 9
Answer:
-5
Step-by-step explanation:
The equation given is written in slope-intercept form (y = mx + b). In this form, 'm' represents the slope of a line and 'b' represents the y-intercept of the line. Since the equation asks for the slope, we can simply look at the value of 'm' in the equation. Then, we will find the slope.
slope - intercept form
y = mx + b
given equation
-y = -5x + 9
values
m = slope = -5
b = y-intercept = 9
