Answer:
RT = 20
Step-by-step explanation:
Given that,
Point S lies on the line segment RT.
We have, ST = 3x-8, RT = 4x and RS = 4x-7
It is clear that, RT = RS+ST
Putting the values, we get :
4x = 4x-7 + 3x-8
Taking like terms together,
4x-4x-3x = -7-8
-3x = -15
x = 5
Put the value of x in RT = 4x.
So,
RT = 4(5)
RT = 20
Hence, length of RT = 20.
A florist has 60 tulips and 72 daffodils. The florist will make bouquets with the same number of tulips and the same number of daffodils in each using all the flowers. What is the greatest number of bouquets the florist can make?
Answer:
12
Step-by-step explanation:
No of tulips = 60
No of daffodils = 72
We need to find the greatest number of bouquets the florist can make if the florist will make bouquets with the same number of tulips and the same number of daffodils in each using all the flowers.
It would mean that we need to find the HCF of 60 and 72
Prime factorisation of 60 = 2×2×3×5
Prime factorization of 72 = 2 x 2 x 2 x 3 x 3
Highest common factor or HCF = 2×2×3 = 12
So, the florist can make 12 bouquets as maximum number.
What is the area of the polygon? And how to find it
Answer:
15 Square Units
Step-by-step explanation:
if area = length x width
you take the length of 5 and multiply it by the width 3
the expression would end up looking like 5 x 3 = 15 square units
Don't forget the label <3
please help!! I don't understand this
Step-by-step explanation:
(f○g)(-3)
= f(g(-3))
g(-3) =
[tex] \frac{2}{2( - 3) - 1} [/tex]
g(-3) = -2/7
f(-2/7) = (-2/7)^2 + 2(-2/7) -4
= 4/49 - 4/7 - 4
= 4/49 - 28/49 - 196/49
= -220/49
please check again ^-^
Liam wants to buy a lead for his guitar.
It must be longer than 7.59 m.
Lead
Type Length
Lead A
7.5 m
Lead B
7.8 m
Lead C
8.3 m
Lead D
0.75 m
Answer:
can't get your question well
A= 5,000 (1+.002*10)
What is the value of ( -3.8)+0+( -0.6)+6.4 ?
Answer:
Step-by-step explanation:
-4
Answer:
2
Step-by-step explanation:
Using the slope formula, find the slope of the line through the given points
(9,9) and (7,1)
Answer:
Step-by-step explanation:
(1 - 9)/(7 - 9)= -8/-2 = 4 is the slope
3[10-(27 ÷9)} (Enter the numerical answer.)
Answer:
90
Step-by-step explanation:
Answer:
45
Step-by-step explanation:
(Car repair) The bill for the repair of your car was $553 the cost for parts was $265 the cost for labor work was $48 per hour how many hours did the repair work take?
Answer:
6
Step-by-step explanation:
what is the point slope form for 2x + 3y = 1,470
Please guys help me when I take a picture of the question it always say something went wrong try again later I got a test seeing please help me
A farmer feeds her four horses 64 bales of hay each week. How many bales of hay would the farmer need in order to feed six horses for a week?
Answer:
96 bales
Step-by-step explanation:
[tex]\frac{64}{4}[/tex] = [tex]\frac{x}{6}[/tex]
You must multiply 6 by 64, which is 384.
Then you divide that by 4, which is 96.
Therefore, the answer is 96.
Also, I lined up the bales in the same row and horses in the same row, so this way can help. It can also help if it's in the same column though, but I hope this helped you!
Answer:
96
Step-by-step explanation:
At a grocery store, you want to buy 4 1/5 lb of chesse. What decimal should the digital scale show?
Answer:
4.02
Step-by-step explanation:
4+1/5
4+0.2
4.02
Find the average velocity of the function over the given interval.
y = 3/x - 2 (4,7)
a. -3/50.
b. 7.
c. 2.
d. 1/3.
Answer:
Average velocity of the function over the given interval
= [tex]log(\frac{7}{4} ) -2[/tex]
Step-by-step explanation:
Explanation:-
Given function y = 3/x -2 ...(i)
The average velocity of the function over the given interval
Average velocity = [tex]\frac{1}{b-a} \int\limits^b_a {(\frac{3}{x} -2)} \, dx[/tex]
= [tex]\frac{1}{7-4} \int\limits^7_4 {(\frac{3}{x} -2)} \, dx[/tex]
now integrating
= [tex]\frac{1}{3}( \int\limits^7_4 {(\frac{3}{x} )} \, dx-2\int\limits^7_4 {1} \, dx )[/tex]
= [tex]\frac{1}{3} (3 (log x) - 2 x )_{4} ^{7}[/tex]
= [tex]\frac{1}{3}( (3 (log 7) - 14 )-(3 log 4 -8))[/tex]
by using formulas
log a-log b = log(a/b)
on simplification , we get
= [tex]\frac{1}{3}( (3 (log 7) -3 log 4 ) - \frac{1}{3} (6)[/tex]
= [tex]log(\frac{7}{4} ) -2[/tex]
Average velocity of the function over the given interval
= [tex]log(\frac{7}{4} ) -2[/tex]
The percentage of U.S. college freshmen claiming no religious affiliation has risen in recent decades. The bar graph shows the
percentage of first-year college students claiming no religious affiliation for four selected years from 1980 through 2012
a. Estimate the average yearly increase in the percentage of first-year college females claiming no religious affiliation. Round the
percentage to the nearest tenth.
b. Estimate the percentage of first-year college females who will claim no religious affiliation in 2030,
Answer:
0.5%/year
24.2%
Step-by-step explanation:
Estimate the average yearly increase in the percentage of first-year college females claiming no religious affiliation
Percentage of females by year:
1980 = 6.2%
1990 = 10.8%
2000 = 13.6%
2012 = 21.7%
Average yearly increase :
Percentage increase between 1980 - 2012 :
2012% - 1980% = ( 21.7% - 6.2%) = 15.5% increase over [(2012 - 1980)] = 32 years
15.5 % / 32 years = 0.484375% / year = 0.5%/year
b. Estimate the percentage of first-year college females who will claim no religious affiliation in 2030,
Given an average increase of 0.484375% / year
(2030 - 1980) = 50 years
Hence by 2030 ; ( 50 years × 0.484375%/year) = 24.218% will claim no religious affiliation.
=24.2% (nearest tenth)
In this exercise we have to use the percentage knowledge to calculate an estimate per year, in this way we find that;
A) [tex]0.5\%/year[/tex]
B) [tex]24.2\%[/tex]
Estimate the average yearly increase in the percentage of first-year college females claiming no religious affiliation. Percentage of females by year:
[tex]1980 = 6.2\%\\1990 = 10.8\%\\2000 = 13.6\%\\2012 = 21.7\%[/tex]
A) Average yearly increase can be caculeted by:
[tex]2012\% - 1980\% = ( 21.7\% - 6.2\%) = 15.5\% = 32 years \\15.5 \% / 32 years = 0.484375\% / year = 0.5\%/year\\[/tex]
B) Estimate the portion of first-old age institution of higher education woman the one will claim no religious association with an organization fashionable 2030, Given an average increase of:
[tex](2030 - 1980) = 50 years\\ ( 50 years * 0.484375\%/year) = 24.2\%[/tex]
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Write the equation for the line that passes through (-5, -4) and (3, 12)
Answer:
I believe it is y=2x+6.
Answer:
[tex]y=2\,x+6[/tex]
Step-by-step explanation:
Start by finding the slope of the segment that joins the two given points, using the slope formula:
[tex]slope=\frac{y_2-y_1}{x_2-x_1} =\frac{12-(-4)}{3-(-5)} =\frac{16}{8} =2[/tex]
Now, you can write the general equation of the line in slope-intercept form as:
[tex]y=m\,x+b\\y=2\,x+b[/tex]
and find the line's y-intercept (b) by using either one of the given points - for example (3, 12):
[tex]y=2\,x+b\\12=2\,(3)+b\\12=6+b\\b=6[/tex]
Therefore, the equation of the line is:
[tex]y=2\,x+6[/tex]
Each side of a square field is 50m long. A barricade is to be placed along the diagonal of the field. Find the length of the barricade.
Answer:
70.71m
Step-by-step explanation:
In order to find the diagonal, we can use Pythagiras theorem by splitting the field in half and creating a right angled triangle.
A^2+B^2=C^2
50^2+50^2=C^2
5000=C^2
Square root 5000= 70.71m (2dp)
Hope this helped!
Since there is a barricade placed along the diagonal sq field, let's focus on one side of the triangle.
A pythagoras theorem formula can be used for right angle triangle.
So now we let the barricade be X.
By Pythagoras Theorem,
X² = 50² + 50²
X = sq root (50² +50²)
= 70.711 m ( 5sf)
= 70.7 m ( 3sf)
Therefore, the length of barricade is 70.7 m
A painter paints a wall in x hours, so the fraction of the wall that she paints in 3 hours is
Need Help?
Read It
Answer:
3/x
Step-by-step explanation:
1 wall - x hours
y wall - 3 hours
y = (1*3)/x=3/x
The fraction of the wall that she paints in 3 hours is 3/x.
Here,
A painter paints a wall in x hours.
We have to find, the fraction of the wall that she paints in 3 hours.
What is fraction?
A fraction simply tells us how many parts of a whole we have.
Now,
Here, A painter paints a wall in x hours
1 wall = x hours
Let number of walls is z when she paints in 3 hours.
z wall = 3 hours
Hence, The fraction of the wall that she paints in 3 hours =( 1 x 3)/x
= 3/x
Learn more about the fraction visit:
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Which pair of variables would most likely have a negative correlation?
A. the time spent driving in a car and the number of miles driven
B. the height of a dog in inches and the number of ounces of food the dog eats per day
C. the number of sit-ups completed and the number of calories burned during a workout
D. the time spent reading a book and the number of pages remaining to be read in the book
Answer: D
Step-by-step explanation:
The pair of variables that will most likely have a negative correlation are D. the time spent reading a book and the number of pages remaining to be read in the book.
Negative CorrelationThis means that the variables involved move in the opposite direction from each other. Means that as one variable increases, the other decreases and vice versa.If you spend a longer time reading a book, you would read more pages which would reduce the number of pages left to be read. The time taken to read the book is therefore negatively correlated with the number of pages left.
In conclusion, option D is correct.
Find out more on negative correlation at https://brainly.com/question/2476038.
If AB=BC,AB=4=4x-2,andBC=3x+3,fine the length of AB
Answer:
18
Step-by-step explanation:
First, I'm assuming AB=4=4x-2 was a typo and it's supposed to be AB = 4x - 2
AB=BC
AB = 4x - 2 BC = 3x + 3
4x - 2 = 3x + 3
Solve for x Add 2 to each side
4x - 2 = 3x + 3
4x - 2 + 2 = 3x + 3 + 2
4x = 3x + 5 Subtract 3x from each side.
4x - 3x = 3x- 3x + 5
4x - 3x = 5
x = 5
Now plug back in to the original equations
AB = 4x - 2 BC = 3x + 3
AB = 4 (5) - 2 BC = 3(5) + 3
AB = 20 - 2 BC = 15 + 3
AB = 18 BC = 18
So AB is 18
(-9a? +12a - 10)+(9a? +10)
I need help with this test
Answer:
12a
Step-by-step explanation:
Because -9a and 9a would get rid of themselves the only "a-value" left is 12a. 10 and -10 also cancel each other out so 12a is all that is left.
If you need more help let me know, have a great day!
26 = 8 + v 2) 3 + p = 8
Answer:
1)26=8+v
v=26-8
v=18
2)3+P=8
P=8-3
P=5
please mark me as BRAINLIST
1/2 n + 3 = 6 please the answer thank u
Answer:
Step-by-step explanation:
1/2 n + 3 = 6
-3 -3
1/2 = 3
Answer is 1.5=n
Answer:
n = 18
Step-by-step explanation:
(1/2)*n-3 = 6 // - 6
(1/2)*n-6-3 = 0
1/2*n-9 = 0 // + 9
1/2*n = 9 // : 1/2
n = 9/1/2
n = 18
n = 18
PLZ GIVE ME BRAINLIEST
What are the integers of 171
Answer:
56, 57, and 58.
Step-by-step explanation:
the quotient of k and 9 is less than 1/3
Answer:
k/9 < 1/3
k < 3
Step-by-step explanation:
quotient is division
k/9 < 1/3
Multiply each side by 9
k < 9/3
k < 3
4.2(5.1x+6.8) Simplify the expression
Answer:
21.42x+28.56
Step-by-step explanation:
Expand: 4.2×5.1×x+4.2×6.8
4.2×5.1×x to (21.42)x
Simplify: 21.42x+4.2×6.8
4.2×6.8 = 28.5628.56
21.42x+28.56
What does algebra mean?
A. The Gate to the Unknown
B. The Gate to the unknown and all possibilities
C. I don’t know
10. Ricky was in an art class in which she wanted the polygon RICKY to be transformed to
RICKY using the line p so that she could paint both of them. What kind of transformation is
this?
A. Translation
B. Reflection C.
Dilation D.
Rotation
Answer:
B. Reflection
Step-by-step explanation:
What is the contrapositive of the following statement? If Sally is 6 feet tall, then she plays basketball. a If Sally plays basketball, then she is 6 feet tall. b If Sally is 6 feet tall, then she plays basketball. c If Sally does not play basketball, then she is not 6 feet tall. d If Sally is not 6 feet tall, then she does not play basketball.
Answer:
C. If Sally does not play basketball, then She is not 6 feet tall
Step-by-step explanation:
Represent the two statements with p and q
Given
p = Sally is 6 feet tall
q = Sally plays basketball
Required
Determine the contrapositive
For a statement
[tex]p\ -> q[/tex]
Meaning; If p then q
The contrapositive is:
[tex]\¬q -> \¬p[/tex]
Meaning: If not q, then not p
Hence;
Option C answers the question
HELLO HELP PLSS
Identify the line(s) of symmetry for kite ABCD.
A)Line BD
B)Line AC
C)line EF
D)no line of symmetry
Answer:
C) line BD
Step-by-step explanation:
If you fold along the line the sides of the shape should line up perfectly. the only answer listed that fits the criteria is C