Answer:
The ratio is;
3/7 : 1
Step-by-step explanation:
Here, we want to express the given ratio in the form n:1 where n is a fully simplified fraction
Mathematically, we have this by dividing both numbers by 14
That would be ;
6/14 : 14/14
= 3/7 : 1
Gavin wrote the equation p = StartFraction 3 (s + 100) Over 4 EndFraction to represent p, the profit he makes from s sales in his lawn-mowing business. Which equation is solved for s?
Answer:
[tex]s = \frac{4p}{3} -100[/tex]
Step-by-step explanation:
Given
[tex]p = \frac{3(s + 100)}{4}[/tex]
Required
Solve for s
[tex]p = \frac{3(s + 100)}{4}[/tex]
Multiply both sides by 4
[tex]4 * p = \frac{3(s + 100)}{4} * 4[/tex]
[tex]4 * p = 3(s + 100)[/tex]
[tex]4p = 3(s + 100)[/tex]
Open bracket
[tex]4p = 3s + 300[/tex]
Subtract 300 from both sides
[tex]4p -300= 3s + 300 -300[/tex]
[tex]4p -300= 3s[/tex]
Divide both sides by 3
[tex]\frac{4p -300}{3}= \frac{3s}{3}[/tex]
[tex]\frac{4p -300}{3}= s[/tex]
[tex]s = \frac{4p -300}{3}[/tex]
Split
[tex]s = \frac{4p}{3} -\frac{300}{3}[/tex]
[tex]s = \frac{4p}{3} -100[/tex]
Answer: b
Step-by-step explanation:
i just did it and got it right
i will brainliest you please help with last question:) :(
Answer:
663 and 366 are both right
Step-by-step explanation:
write as single power of 3?
(3^-9)^6
Answer:
The single power of 3 is 3 ^ -54.
Hope it will help :)❤
Answer:
[tex]3^{-54}[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex] , then
[tex](3^-9)^{6}[/tex]
= [tex]3^{(-9(6))}[/tex]
= [tex]3^{-54}[/tex]
please help will give brainliest for the answers need help
Answer:
I really cant find one...Ive tried all of them on the clacutaor but the closest one seems to be number 4
Step-by-step explanation:
What is the volume of a cylinder that has the same diameter as a
sphere with a volume of 14 u3, in u3?
help lol
Answer:
U4
Step-by-step explanation:
HELP ASAP PLEASE (20 points)
An open-topped box is to be created from a 100 cm by 80 cm piece of cardboard by cutting out a square of side length x from each corner.
a) Write an expression for the volume of the box in terms of x.
b) Write an expression for the surface area of the open-topped box in terms of x.
c) Write a simplified expression of the ratio of the volume of the box to the surface area.
d) Refer to your answer in part (c). State the restrictions on x
a) Volume = x(100 - 2x)(80 - 2x).
b) Surface Area = (100 - 2x)(80 - 2x) + 4x(100 - 2x) + 4x(80 - 2x).
c) Ratio = x(100 - 2x)(80 - 2x) / [(100 - 2x)(80 - 2x) + 4x(100 - 2x) + 4x(80 - 2x)].
d) Restrictions: 0 < x ≤ 40 and x < 50. (Positive dimensions, non-zero volume, and avoiding non-physical dimensions)
a) The box will have a height of x and a base of (100 - 2x) cm by (80 - 2x) cm.
Thus, the expression for the volume of the box in terms of x is:
Volume = x × (100 - 2x) × (80 - 2x)
b) To find the surface area of the open-topped box,
consider the area of the bottom (100 - 2x) × (80 - 2x) and the four sides.
The sides have a width of x and a length of 100 - 2x or 80 - 2x, so the surface area expression is:
Surface Area = (100 - 2x) × (80 - 2x) + 4x × (100 - 2x) + 4x × (80 - 2x)
c) To find the ratio of the volume to the surface area,
divide the volume expression by the surface area expression:
Ratio = Volume / Surface Area
Ratio = [x × (100 - 2x) × (80 - 2x)] / [(100 - 2x)× (80 - 2x) + 4x × (100 - 2x) + 4x ×(80 - 2x)]
d) To identify restrictions on x, consider practical aspects of the box.
The value of x must be positive since we're cutting squares from the corners.
Also, the value of x cannot exceed half the length of the sides
(100/2 = 50 and 80/2 = 40)
because if x is greater than half, then the box will have a negative or zero dimension, which is not meaningful. So, the restrictions are:
0 < x ≤ 40 (to ensure positive dimensions and non-zero volume)
x < 50 (to avoid non-physical dimensions)
learn more about Volume here
brainly.com/question/28210642
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What is an equation of the line that passes through the point (−1,4) and is parallel to the line 2x+y=1?
Answer:
y=-2x+2 (if you need it in y-intercept form)
2x+y=2 (if you need it in standard form)
Step-by-step explanation:
1. Write the original line in y=mx+b form. In other words, get the y by itself on the left side of the equation.
Subtract 2x from both sides.
y=-2x+1
2. Recall that parallel lines have the same slope. Slope is always the number with the x in the equation. Since the slope in the first equation is -2, the slope of the new line will also be -2.
3. Find the y-intercept. Use the point (-1,4) and plug the y and x values into the point-slope formula. M represents the slope.
y-y1=m(x-x1)
y-4=-2(x+1)
Simplify the equation.
y-4=-2x-2
y=-2x+2
(Proceed to step 4 if you need it in standard form)
4. Write the equation in standard form (x+y=z). Z represents the number by itself without variables.
Add -2x to both sides
2x+y=2
Answer:
An of line that passes through the point (−1,4) and is parallel to the line will be:
[tex]y=-2x+2[/tex]Step-by-step explanation:
We know that the slope-intercept form of the line equation
y = mx+b
where m is the slope and b is the y-intercept
Given the line
2x+y=1
converting the line into slope-intercept form
y = -2x+1
comparing with the slope-intercept form of the line equation
The slope of the line = m = -2
We know that the parallel lines have the same slopes.
Thus, the slope of line that passes through the point (−1,4) and is parallel to the line will be: -2
using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope of the line and (x₁, y₁) is the point
substituting the values of the slope = -2 and the point (-1, 4)
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-4=-2\left(x-\left(-1\right)\right)[/tex]
Add 4 to both sides
[tex]y-4+4=-2\left(x+1\right)+4[/tex]
[tex]y=-2x+2[/tex]
Therefore, an of line that passes through the point (−1,4) and is parallel to the line will be:
[tex]y=-2x+2[/tex]Find the area of each figure. Use 3.14 for pi.
so you know the how to find the area for a saquare A=a*b first we have to find the area for a circle 10*10=100 A=100cm (2) is the area for our circle
so we have half of the circle so formula for that is A=(πr(2))/2 we know the radius is 5 A=3.14*25/2
A=78.5/2 reason why we are dividing by this number to 2 because we have half of the circle A=39.25 then add two areas together A=100+39.25=....
Help needed plzzzzzzzzzz!!!!!!!
I need the answers for both a and b so thats why 61 points are up for grab
Answer:
Step-by-step explanation:
From the picture attached,
a). Triangle in the figure is ΔBCF
b). Since, [tex]L_1[/tex] and [tex]L_2[/tex] are the parallel lines and m is a transversal line,
m∠FBC = m∠BFG [Alternate interior angles]
Since, [tex]L_1[/tex] and [tex]L_2[/tex] are the parallel lines and n is a transversal line,
m∠BCF = m∠CFE [Alternate interior angles]
By triangle sum theorem in ΔBCF
m∠FBC + m∠BCF + m∠BFC = 180°
From the properties given above,
m∠BFG + m∠CFE + m∠BFC = 180°
m∠GFE = 180°
Therefore, angle GFE is the straight angle that will be useful in proving that the sum of the measures of the interior angles of the triangle is 180°.
How many grams are in 4.5 moles of Fe?
Answer:
Step-by-step explanation:
: The mass of 4.5 moles of sodium fluoride is 189g
You can view more details on each measurement unit: molecular weight of Fe or grams The SI base unit for amount of substance is the mole. 1 mole is equal to 1 moles Fe, or 55.845 grams.
Answer:
252g
Step-by-step explanation:
1 mole of fe =56g
therefore 4.5 moles = 4.5×56
=252g
can somebody help me ?
Plzz help in 3rd part of question 3
Answer:
X=28/9, Y=7/5
Step-by-step explanation:
By using Elimination method
Multiply equation 1 by 9 and equation 2 by 3/2
There you get those values listed above for x and y5) Write the expression as a product of two factors.
12x + 18y - 60
a) (2x + 3y - 60)
b) (x + y)(12 + 18 - 60)
c) 6(2x + 3y - 10)
d) (12x + 18y)(-60)
Answer:
c) is the right answer.
Step-by-step explanation:
The Skills needed are: GCF, Division, and Factoring
If you want a product of 2 factors, and you have 2 variables, one of the factors will be a number.
Here we have:
12x + 18y-60
1) We need to find the GCF (Greatest Common Factor) of all coefficients (12,18, and 60)
-12's factors are: 1,2,3,4,6,12
-18's factors are: 1,2,3,6,9,18
-60's factors are: 1,2,3,4,5,6,10,12,15,20,30,60
The GCF, or the biggest factor all these numbers share is: 6
2) So we can take out the 6 from all of these.
-12x/6=2x
-18y/6=3y
-60/6=10
Our new expression with the 6 taken out would be: 6(2x + 3y - 10)
The only answer that has this is c)
Hope you understood and have a nice day!!
WILL GIVE BRAINLIEST!!!
The probability that event A occurs is 30 % and the probability that event B occurs is 45 %. Fill in the blanks.
If the probability of both events occurring is 3%, then P(A|B)≈ _BLANK_% and P(B|A)= _BLANK_%.
Options:
2
7
12
10
20
15
67
Answer:
7%, 10%
Step-by-step explanation:
Man, I'm doing AP Stats homework right now and it's on conditionals too.
P(X given Y) = P(X and Y)/P(Y) = 0.03/0.45 = 1/15 for A|B
and thus 0.03/0.30 = 1/10 for B|A
So 7% and 10% are the answers.
please help. I don't understand this problem.
answer all please i need help
Jose is creating a map in the shape of a rectangle whose length is 4 inches longer than its width. Let stand for the width of the map in inches. Write an equation gives the perimeter of the map in terms of ?
Answer:
P = 4w + 8
Step-by-step explanation:
Jose is creating a map in the shape of a rectangle whose length is 4 inches longer than its width. Let w stand for the width of the map in inches. Write an equation gives the perimeter of the map in terms of w?
Perimeter of the rectangle = 2(L +w)
L is the length of the rectangle
w is the width
If the length is 4 inches longer than its width, then;
l = w + 4
Substitute into the expression;
P = 2 (L+w)
P = 2(w+4+w)
P = 2 (2w+4)
P = 4w + 8
Hence the perimeter of the map in terms of w is P = 4w + 8
how to convert x=2/3y+8 to y=mx+b
CAN SOMEONE LS HELP WITHT THIS ASAP PLEASE
Answer:
x = 10
y = 20
Step-by-step explanation:
Hope this hepls you.
ill be putting 20 points into this so please help-
Answer:
the exponent is 3^-10
so its the first one the fourth and i think the fifth too
Answer:
A, D
I hope this works for you
4(х +Зу) = 2(3х-y)
Solve for x
Answer:
7y
Step-by-step explanation:
use distributive property:
4x+12y=6x-2y
2x=14y
x=7y
5. What is the answer of X= (4^2)*6*
1 point
72
96
82
84
Answer:
B, 96
Step-by-step explanation:
All you have to do is simplify both sides of the equation.
Which triangle congruency theorem can b used to prove the triangles are congruent?? :))))
Answer:
1. SSS
Step-by-step explanation:
AB = AC
BD = BD
AD = AD
7x + 2y = 17
2x - 2y = 1
=
Answer:
[tex](2,\frac{3}{2}})[/tex]
Step-by-step explanation:
For finding the system of equations you can use one of two methods. There's the elimination method and also the substitution method. For this I think the best way we could go at solving this is by using the elimination method. Since we can eliminate the 2y. We can then solve for x and then we'll go from there.
[tex]\left \{ +{{7x+2y=17} \atop {2x-2y=1}} \right. \\\\9x=18\\x=2[/tex]
Now that we know what x is we can substitute it for one of the equations and then we will be able to solve for y.
[tex]7x+2y=17\\7(2)+2y=17\\14+2y=17\\2y=3\\y=\frac{3}{2}[/tex]
So now we have the x and the y and once we place them together we can get the solution of those two equations, and the solution is [tex](2,\frac{3}{2}})[/tex].
Plz help im stuck on this question
Evaluate the function.
f(x)=−3x²+9x−8
find f(5)
Answer:
f(5) = -38
Step-by-step explanation:
Given the function
f(x)=−3x²+9x−8
Evaluating the function
f(x)=−3x²+9x−8
f(5) = −3(5)²+9(5)−8
f(5) = -75+45-8
f(5) = -38
Therefore, we conclude that:
f(5) = -38
The perimeter of ΔABC is 13 cm. It was dilated to create ΔA'B'C'. Point O is the center of dilation. Triangle A B C is dilated to create triangle A prime B prime C prime. The length of O B is 5. The length of B B prime is 15. What is the perimeter of ΔA'B'C'? 13 cm 26 cm 39 cm 52 cm
Answer:
39 cm
Step-by-step explanation:
Given
ΔABC and ΔA'B'C'
B = 5 cm
B' = 15 cm
Perimeter ΔABC = 13 cm
Required
Determine the perimeter of ΔA'B'C
[Since ΔABC is dilated to give ΔA'B'C', the first step is to get the scale factor.]
Scale Factor = ΔA'B'C ÷ ΔABC
[Using side B and B' as points of reference]
Scale Factor = B' ÷ B
[Substitute values for B' and B]
Scale Factor = 15 ÷ 5
Scale Factor = 3
[The perimeter of ΔA'B'C' is then calculated as:]
Perimeter ΔA'B'C'= Scale Factor * Perimeter of ΔABC
ΔA'B'C = 3 * 13 cm
ΔA'B'C = 39 cm
Answer: 52
Step-by-step explanation:
Edge 2023
A swimmer enters the water and swims in a straight line at 54 meters per minute. Another swimmer enters the water
3 minutes later, swimming in the same direction at 134 meters per minute. Which parametric equations could model
the swimmers' paths from the time the first swimmer entered the water?
Answer:
[tex]x(t) = 54t[/tex] and [tex]y(t) = 134(t - 3)[/tex]
Step-by-step explanation:
Represent the swimmers with A and B
For Swimmer A:
[tex]Rate = 54m/min[/tex]
For Swimmer B:
[tex]Rate = 134m/min[/tex]
Required:
Write a parametric equation
For Swimmer A:
If swimmer A covers 54 meters in 1 minutes, then the swimmer covers 54t in t minutes
So, the function is:
[tex]x(t) = 54t[/tex]
For Swimmer B:
If swimmer A covers t minutes, swimmer B swims for (t - 3) minutes because swimmer B starts 3 minutes later.
If in 1 minutes, swimmer B covers 134 minutes; In (t - 3) minutes, the swimmer covers 134(t - 3)
So, the rate is:
[tex]y(t) = 134(t + 3)[/tex]
Hence, the parametric functions are:
[tex]x(t) = 54t[/tex] and
[tex]y(t) = 134(t - 3)[/tex]
Answer:
A on Edge
Step-by-step explanation:
how to Simplify 6/8
Answer:
3/4
Step-by-step explanation:
in order to simplify divide the numerator and denominator by the greatest Common Factor or both numbers... in this case the numbers are 6 and 8
6: 1,2,3,6
8:1,2,4,8,
as you can see the GCF is 2... so you divide 6 by 2 nd 8 by 2
6/2= 3
8/2=4
since 6 in ur numerator the quotient is 3 so the number 3 goes on the top
3/4
Answer: 3/4 or .75
Explanation:
you divide the denominator and numerator by 2