The ratio of the fraction in the simplest form is 24 /5.
What are fractions?
Fractions are non integers. They are made up of and denominators. An example of a fraction is 2/3. 2 is the numerator and 3 is the denominator.
In order to express in the simplest form, divide both the numerator and denominator by similar factors.
96 : 20 = 96/20 = 24/5
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colour in so that the ratio of blue squares to green squares is 2:3 , 15 squares in the box
Answer:
15/5= 3
Blue Squares: 3*2= 6
Green Squares: 3*3= 9
Paisley and Damian are both driving along the same highway in two different cars to
a stadium in a distant city. At noon, Paisley is 315 miles away from the stadium and
Damian is 383 miles away from the stadium. Paisley is driving along the highway at a
speed of 42 miles per hour and Damian is driving at speed of 59 miles per hour. Let
P represent Paisley's distance, in miles, away from the stadium t hours after noon.
Let D represent Damian's distance, in miles, away from the stadium t hours after
noon. Write an equation for each situation, in terms oft, and determine whether
Paisley or Damian is closer to the stadium 5 hours after noon.
are
Using linear functions, it is found that:
Paisley's equation is: P(t) = 315 - 42t.Damian's equation is: D(t) = 383 - 59t.Damian is closer to the stadium 5 hours after noon.What is a linear function?A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value.Paisley is 315 miles away from the stadium, and driving at a speed of 42 miles per hour, hence for the linear equation for his distance after t hours, we have that:
m = -42, b = 315, then:
P(t) = 315 - 42t.
Damian is 383 miles away from the stadium, and driving at a speed of 59 miles per hour, hence for the linear equation for his distance after t hours, we have that:
m = -59, b = 383, then:
D(t) = 383 - 59t.
After 5 hours, their distances are:
P(5) = 315 - 42(5) = 105
D(5) = 383 - 59(5) = 88
D(5) < P(G), hence Damian is closer to the stadium 5 hours after noon.
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The circumference of Circle K is pi. The circumference of Circle L is 4xpi.
Two circles, one labeled “Circle K” and the other as “Circle L.”
What is the value of the ratio of their circumferences? of their radii? of their areas? Write the ratios as fractions in the simplest form.
Answer:
Ratio of circumferences: [tex]\displaystyle\frac{1}{4}[/tex]
Ratio of radii: [tex]\displaystyle\frac{1}{4}[/tex]
Ratio of areas: [tex]\displaystyle\frac{1}{16}[/tex]
Step-by-step explanation:
Hi there!
We are given:
- The circumference of Circle K is [tex]\pi[/tex]
- The circumference of Circle L is [tex]4\pi[/tex]
Therefore, the ratio of their circumferences would be:
[tex]\displaystyle\frac{\pi}{4\pi}[/tex] ⇒ [tex]\displaystyle\frac{1}{4}[/tex] when simplified
The formula for circumference is [tex]C=2\pi r[/tex], where r is the radius. To find the ratio of the circles' radii, we must identify their radii through their given circumferences.
If the circumference of Circle K is [tex]\pi[/tex], or [tex]1\pi[/tex], then its radius is [tex]\displaystyle\frac{1}{2}[/tex].
If the circumference of Circle L is [tex]4\pi[/tex], then its radius is [tex]\displaystyle\frac{4}{2}[/tex], which is 2.
Therefore the ratio their radii would be:
[tex]\displaystyle\frac{\frac{1}{2}}{{2}}[/tex] ⇒ [tex]\displaystyle\frac{1}{2}*\frac{1}{2}[/tex] ⇒ [tex]\displaystyle\frac{1}{4}[/tex] when simplified
The formula for area is:
[tex]A=\pi r^2[/tex]
First, let's find the area of Circle K:
[tex]A=\pi (\displaystyle\frac{1}{2})^2\\\\A=\displaystyle\frac{1}{4}\pi[/tex]
Now, let's find the area of Circle L:
[tex]A=\pi (2)^2\\A = 4\pi[/tex]
Therefore, the ratio of their areas would be:
[tex]\displaystyle\frac{\frac{1}{4}\pi}{4\pi}[/tex] ⇒ [tex]\displaystyle\frac{\frac{1}{4}}{4}[/tex] ⇒ [tex]\displaystyle\frac{1}{4} * \frac{1}{4}[/tex] ⇒ [tex]\displaystyle\frac{1}{16}[/tex] when simplified
I hope this helps!
Hannah drew square a with a side length of 8 centimeters, as shwon in the diagram below. Hannah used a scale fatctor of 6/4 to dilate Square A and square A' what was the perimeter of Square A'
Answer:
80cm
Step-by-step explanation:
8 x 6/4 = 20
20 x 4 = 80
Answer:
0.5
Step-by-step explanation:
Hannah is in labor, she is 8 centimeters dilated. Shown in the diagram. Now, the perimeter of her puhtay and her child's head are 6/4. The fatctor of this is square b. Not a. To make Hannah's labor smooth, we need to figure out how much more she needs to dilate. since she is 8 centimeters, and the baby's head is 6/4. she will need 3 more centimeters until it is able to come out correctly. I hope this answered your question!! would love to answer more.
:)
Help help math math math math
Answer:
y - 5 = -3(x + 3)
Step-by-step explanation:
A parallel line has the same slope but different y-intercept
So the slope of our line is -3
We also have our x1 and y1
So input that into the point-slope formula : y - y1 = m(x - x1)
y -y1 = m(x - x1)y - 5 = -3(x - (-3))y - 5 = -3(x + 3)The equation of the line is [tex]\boxed{\text{y - 5 = -3(x + 3)}}[/tex]
-Chetan K
Answer:
5 = -3(x + 3)
Step-by-step explanation:
i got it right
If f(x)=-3x +2, find
c) x if f(x) = 0.
Answer:
f(0)=2
Step-by-step explanation:
f(x)=-3x +2
f(0)=-3(0) +2
f(0)= 0 +2
f(0)=2
Help math math math math
Answer:
y = - 4x + 15
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{x}{4}[/tex] - 2 ← is in slope- intercept form
with slope m = [tex]\frac{1}{4}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{4} }[/tex] = - 4 , then
y = - 4x + c ← is the partial equation
to find c, substitute (4, - 1 ) into the partial equation
- 1 = - 16 + c ⇒ c = - 1 + 16 = 15
y = - 4x + 15 ← equation of perpendicular line
Answer:
y = - 4x + 15
Step-by-step explanation:
#14
Graph the quadrilateral with the given vertices in the coordinate plane.
A(0, 1), B(4, 4), C(12, 4), D(8, 1)
Answer:
Because BC=AD=8, segment BC ≅ Segment AD. Because these are horizontal line segments, their slopes are 0 and they are parallel.
Segment BC and AD are opposite sides that are both congruent and parallel. So ABCD is a parallelogram by the opposite sides congruent theorem.
Step-by-step explanation:
So if you count the boxes of segment BC you will get 8, same for if you count the boxes that make up segment AD. If they are the same distance they are congruent. You can see how BC and AD are both horizontal lines. To find the slope you need to do the slope formula for BC and AD, which is y2-y1/x2-x1 in our case BC= 4-4/12-4 which equals 0/8. If you do the same formula for AD, you will get 0/8 making them congruent and the slope 0. If the opposite sides are congruent and parallel it has to be a parallelogram by the opposites and congruent theorem.
please solve
-5+(-8) step by step thank you!!
Answer:
[tex] - 5 + ( - 8) \\ \\ = - 5 - 8 \\ \\ = - 13[/tex]
# be care#
If you don’t know the answer please don’t comment.
Find:
(f + g)(x) for f(x) = 2x^2 − 8 and g(x) = x + 2
A.) 2x^2 − x − 6
B.) 4x^2
C.) 3x^2 − 6
D.) 2x^2 + x − 6
Answer:
D) 2x^2 + x -6
Step-by-step explanation:
(2x^2 - 8) + (x+2)
combine like terms
2x^2 + x -6
A study conducted several years ago reported that 24 percent of public accountants changed companies within 5 years. The American Institute of CPAs would like to update the study. They would like to estimate the population proportion of public accountants who changed companies within 5 years with a margin of error of 5% and a 95% level of confidence. (Use t Distribution Table & z Distribution Table.) (Round your z-value to 2 decimals. Round up your answers to the next whole number.)
Required:
a. To update this study, the files of how many public accountants should be studied?
b. How many public accountants should be contacted if no previous estimates of the population proportion are available?
Answer:
Here is your Answer
Step-by-step explanation:
Please mark me Brainliest
At a hotel yesterday, 315 guests used the swimming pool and 210 guests did not. What percentage of the guests at the hotel used the pool yesterday?
Answer:
60%
Step-by-step explanation:
% = Used Pool ÷ Total × 100
= 315 ÷ 525 × 100
=60%
Answer:
60 percent
Step-by-step explanation:
I really need help on this one
please and thank you.
Answer:
no
no
yes
yes
yes
Step-by-step explanation:
integers can only be whole numbers
just simplify to find out
a) not whole number
b) not whole number
c) whole number
d) 14/7 = 2; whole number
c) -12/2 = 6; whole number
a and b = NO
c, d, e = YES
Please help me! What is 1 1/2+1/6
Answer:
10/6
Step-by-step explanation:
1 1/2=3/2
3/2: We need it to be /6. Multiply 3 by the top and bottom. 9/6
9/6+1/6=10/6
How’s this for 20 characters or more brainly
Answer:
x-intercept = 3/4
y-intercept = -3
Step-by-step explanation:
4x - y = 3 (Given)
To find x-intercept plug y = 0 in the given equation.
4x - 0 = 3
4x = 3
x = 3/4
To find y-intercept plug x = 0 in the given equation.
4(0) - y = 3
0 - y = 3
- y = 3
y = -3
Multiply the polynomials (x + 3) (2x – 4). What is the product in the form ax² + bx + c?
answer:
2x²+2x-12
explanation:
(x + 3) (2x – 4) [ open the bracket ]
x(2x) -4(x) +3(2x)+ 3(-4) [ multiplication ]
2x²-4x+6x-12 [ simplify ]
2x²+2x-12 [ final answer ]
Answer:
We want to multiply two polynomials of degree 1, and get in that way a polynomial of degree 2.
We will get the polynomial: p(x) = 2 * x² + 2 * x - 12
Step-by-step explanation:
We just want to multiply (x + 3) and (2*x - 4).
So we start by writing:
(x+3) * (2*x-4)
Now we just expand this:
(x+3) * (2*x-4) = 2 * x² + x * (-4) + 3 * (2 * x) + 3 * (-4)
Now we need to simplify the above expression:
2 * x² + x * (-4) + 3 * (2*x) + 3 * (-4) = 2 * x² + (6 - 4) * x - 12 = 2 * x ² + 2 * x - 12
This is the polynomial we wanted to get:
p (x) = 2 * x² + 2 * x - 12
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pls I'm in need of urgent helpppppppp.
question (ii) is my main problem. pls help immediately you get this question. thanks in advance.
A committee of 4 people is to be chosen from 5 married couples. Find in how many ways the committee can be chosen if :
i) everyone is equally eligible
ii) the committee should include at least one woman.
Answer:
So your best bet is everyone is equally eligible although I dont really know wait for other answers
Step-by-step explanation:
Naomi's fish is 40 millimeters long. Her guinea pig is 25 centimeters long.
How much longer is her guinea pig than her fish?
Answer:
21cm
Step-by-step explanation:
Solution,
Length of fish=40mm=40/10=4cm
Length of pig=25cm
Now,
Difference of their length=25cm-4cm=21cm
Hence,the pig is 21cm long than the fish
HELP!! I need help on #5 and #6. I will give brainlist!!
Answer:
#5 more info is needed. #6 is a CD.
Step-by-step explanation:
#5 doesn't have the appropriate values given which in this case is how much money. #6 is most likely a CD because they tend to have bigger interest rates, unless if you needed to access it. If you needed to access this money, a savings account would most likely give you the best interest rates.
PLS HELP. Find the value of a, AB, BC, CD, AD in the parallelogram. Pls show work.
Answer:
A= 21
Step-by-step explanation:
a=19.5+1.5=21
21+2.9=23.9
2(21)-18.1
Lines AB and CD are congruent.
Inventory The college store maintains an inventory
of baseball T-shirts and sweatshirts that have the team
logo. Due to demand, the number of baseball T-shirts
kept in inventory is four times the number of baseball
sweatshirts. If the store has 164 T-shirts, how
many
sweatshirts are in inventory at the college store?
Answer:
41
Step-by-step explanation:
divide by 4
What is the value of x?
Enter your answer in the box.
Answer:
x = 25
Step-by-step explanation:
Use Pythagoras' Theorem [tex]a^s+b^2=c^2[/tex]
where a and b are the legs and c is the hypotenuse of a right triangle
[tex]\implies 7^2+24^2=x^2[/tex]
[tex]\implies 49+576=x^2[/tex]
[tex]\implies 625=x^2[/tex]
[tex]\implies x=\sqrt{625}[/tex]
[tex]\implies x=\pm25[/tex]
[tex]\implies x = 25[/tex] only, as distance is positive
Use Pythagorean theorem
[tex]\\ \rm\longmapsto x^2=24^2+7^2[/tex]
[tex]\\ \rm\longmapsto x^2=576+49[/tex]
[tex]\\ \rm\longmapsto x^2=625[/tex]
[tex]\\ \rm\longmapsto x=25[/tex]
HELP SOS I NEED HELP
Answer:
[tex]602.8cm^{3}[/tex]
Step-by-step explanation:
Volume of cylinder = π [tex]r^{2}h[/tex]
Here, [tex]r=4cm\\ h=12cm[/tex]
Volume = π × [tex]4^{2}[/tex] × [tex]12[/tex]
[tex]=602.8cm^{3}[/tex] (converted to 1 decimal place)
Please a genius help me please
Answer:
D
Step-by-step explanation:
y=mx+b (line equation)
m=(y2-y1)/(x2-x1) (slope formula)
insert the coordonates
m=(6--6)/(1--3) find the slope
m=12/4m=3 after fiinding the slope you can substitute x and y and find b
y=3x+b
(1,6)
6=3*1+b
6=3+b
b=3
y=3x+3
Pls help me as soon as possible
Answer:
Well your trying to find meters per second.
So it’s a unit rate question.
In order to find the unit rate you divide the original by the newest.
In this case it’s (c) or -4.9/.71
Answer:
can you complate this heart
Suppose that X is the number of cars per minute that pass through a certain intersection, and that X has the poisson distribution. If the mean of X is equal to 9 cars, what is the variance of X
The variance of a distribution is the square of the standard deviation
The variance of the data is 9
How to determine the varianceThe given parameters are:
Mean = 9 cars
Distribution type = Poisson distribution
The variance and the mean of a Poisson distribution are equal.
So, we have:
Variance = 9 cars
Hence, the variance of the data is 9
Read more about variance at:
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Given the following data from a sample find the sample standard deviation. 5, 16, 24, 15, 2, 8
Answer:
8.2
Step-by-step explanation:
The sample standard deviation measures the spread ofa data distribution of the sample. It is usually used toestimate the population standard deviation.
The area of a rectangle is 70cm² and it is 7m broad.
i)Find its length
ii)Find its perimeter.
Please help.
Answer:
soln
here,
area of a rectangle =70cm *
breadth = 7m
we know,
area (a)=l×b
70=l×7
70=7l
70÷7=l
10=l
therefore, itslength is 10m
again,
perimeter (p)=2(l+b)
=2(10+7)
=2×17
=34cm
therefore, its perimeter is 34cm.
what is the answer
3r =30
Answer:
r=10
Step-by-step explanation:
Answer:
r = 10Step-by-step explanation:
[tex]3r = 30 \\ \frac{3r}{3} = \frac{30}{3} \\ r = 10 \\ [/tex]
what is the slope of 8x-4