Missing Information:
Of the people in the group who support Candidate R, 58 percent are in favor of flat tax Of the people in the group who support Candidate T, 22 are in favor of a flat tax.Answer:
[tex]Total = 26.1\%N + 22[/tex]
Step-by-step explanation:
Given
[tex]R = 45\%[/tex] -- [tex]Percentage[/tex] [tex]of\ R[/tex] in the total population
[tex]Favor\ Flat\ Tax = 58\%[/tex] in group R
[tex]Favor\ Flat\ Tax = 22[/tex] in group T
Required
Determine the number of people that supports T
First, the proportion of those that supports flax rate in R needs to be calculated.
[tex]Proportion = 45\% * 58\%[/tex]
[tex]Proportion = 26.1\%[/tex]
So, those that favor flat tax rate in group R are:
[tex]Favor\ Flat\ Tax = 26.1\%N[/tex]
Where N represents the total population.
Total number of people that supports the flax tax rate is gotten by adding people that support flat tax rate in each group.
[tex]Total = Group\ R + Group\ T[/tex]
[tex]Total = 26.1\%N + 22[/tex]
help plzzzzz i needs halp!
Answer:
4000
Step-by-step explanation:
In isosceles triangle ABC the segment BD with D a point on AC is the median to the base AC. Find BD if the perimeter of ABC is 50m and the perimeter of ABD is 40m
Given:
In isosceles triangle ABC, consider AB=BC and the segment BD with D a point on AC is the median to the base AC.
Perimeter of ABC is 50m and the perimeter of ABD is 40m.
To find:
The length of BD.
Solution:
In isosceles triangle ABC the segment BD with D a point on AC is the median to the base AC.
[tex]AB=BC[/tex] ...(i)
[tex]AD=CD[/tex]
[tex]AC=2AD[/tex] ...(ii)
Perimeter of ABC is 50m.
[tex]AB+BC+AC=50[/tex]
[tex]AB+AB+2AD=50[/tex] [Using (i) and (ii)]
[tex]2AB+2AD=50[/tex]
[tex]2(AB+AD)=50[/tex]
Divide both sides by 2.
[tex]AB+AD=25[/tex] ...(iii)
Now, perimeter of ABD is 40m.
[tex]AB+AD+BD=40[/tex]
[tex]25+BD=40[/tex] [Using (iii)]
[tex]BD=40-25[/tex]
[tex]BD=15[/tex]
Therefore, the length of BD is 15m.
What is the equation to a line with a slope of -3 and a y-intercept of 8?
Answer:
y=-3x+8
Step-by-step explanation:
y=mx+b
(m=slope and b=y-intercept)
Answer:
Step-by-step explanation:
let’s use this equation y = mx + b
where m = slope
and b = y intercept
since slope is -3, m = -3
and since y intercept is 8, b = 8
so the equation is
y = -3x +8
F is inversely proportional to d 2 . When F = 8 , d = 6 Work out d (positive value rounded to 2 DP) when F = 7
Answer:
d ≈ 6.41
Step-by-step explanation:
Given that F is inversely proportional to d² then the equation relating them is
F = [tex]\frac{k}{d^2}[/tex] ← k is the constant of proportion
To find k use the condition when F = 8, d = 6 , then
8 = [tex]\frac{k}{6^2}[/tex] = [tex]\frac{k}{36}[/tex] ( multiply both sides by 36 )
288 = k
F = [tex]\frac{288}{d^2}[/tex] ← equation of proportion
When F = 7 , then
7 = [tex]\frac{288}{d^2}[/tex] ( multiply both sides by d² )
d² × 7 = 288 ( divide both sides by 7 )
d² = [tex]\frac{288}{7}[/tex] ( take the square root of both sides )
d = ± [tex]\sqrt{\frac{288}{7} }[/tex] ≈ ± 6.41
The positive value of d is 6.41 ( to 2 dec. places )
Answer:
when F = 7, d = 6.41
Step-by-step explanation:
We know that when 'y' varies inversely with 'x', we get the equation
y ∝ 1/x
y = k/x
where 'k' is called the constant of proportionality
Given that F is inversely proportional to d.
F ∝ 1/d
F = k /d²
When F = 8, d = 6, we need to find k
k = Fd²
k = 8×(6)²=288
Now, we need to find d when F = 7
so substitute k = 288, F = 7 in the equation
F = k /d²
d² = k/F
d² = 288/7
[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]d=\sqrt{\frac{288}{7}},\:d=-\sqrt{\frac{288}{7}}[/tex]
but, we need to take the positive value of d, so
[tex]d=\sqrt{\frac{288}{7}}[/tex]
[tex]d=6.41[/tex]
Therefore,
when F = 7, d = 6.41
Find the value of x
A- 6
B-5
C-4
D-10
Answer:
x=4
Step-by-step explanation:
In triangle MLK
it is a equilateral triangle HenceML=LK=MK=5Now come to triangle MKJ
It is a isosceles triangle Hence MJ=MkMK=5
Hence
[tex]\longrightarrow\sf MJ=5 [/tex]
[tex]\longrightarrow\sf x+1=5[/tex]
[tex]\longrightarrow\sf x=5-1 [/tex]
[tex]\longrightarrow\sf x=4 [/tex]
A camper attaches a rope from the top of her tent, 4 feet above the ground, to give it more support. If the rope is 8 feet long, about how far will the stake need to be from the middle of her tent?
A. 8.9 ft
B. 4 ft
C. 12 ft
D. 6.9 ft
Answer:
6.9 ft
Step-by-step explanation:
The Pythagorean Theorem. :)
a^2 + b^2 = c^2
4^2 + b^2 = 8^2
16 + b^2 = 64
b^2 = 48
D = 6.928
<3 Enjoy,
Dea
The length of the stake needs to be from the middle of her tent will be 6.9 feet. Then the correct option is D.
What is a right-angle triangle?It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function. The Pythagoras is the sum of the square of two sides is equal to the square of the longest side.
A camper attaches a rope from the top of her tent, 4 feet above the ground, to give it more support. If the rope is 8 feet long.
Then the length of the stake needs to be from the middle of her tent will be
We have
P = 4 ft
H = 8 ft
Then the base is given by the Pythagoras theorem.
B² = H² - P²
B² = 8² - 4²
B² = 64 - 16
B² = 48
B = 6.9 ft
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
how important is writing the polynomial in standard form when dividing polynomial
Sapphire and Abe are shelving books at a public library. Sapphire shelves 12 books at a time, whereas Abe shelves 18 at a time. If they end up shelving the same number of books, what is the smallest number of books each could have shelved.
Answer: 36
Step-by-step explanation:
Given: Sapphire shelves 12 books at a time, whereas Abe shelves 18 at a time.
If they end up shelving the same number of books, what is the smallest number of books each could have shelved = LCM (12,18)
12 = 2 x 2 x 3
18 = 2 x 3 x 3
LCM (12, 18) = 2 x 2 x 3 x 3 = 36
Hence, the smallest number of books each could have shelved = 36
Answer:
36
Step-by-step explanation:
nrly
$1,250 at 5% simple interst for 2 years
Answer:
2625
Step-by-step explanation:
Simple Interest Formula
P*R*T
1250*1.05*2=2625
Answer:
After two years, there will be a total of $1,375 paid and $125 paid in interest.
Step-by-step explanation:
Since, 5 x 2 = 10, first we should find 10% of $1,250.
1,250 x 0.10 = 125
$1,250 + $125 = $1375
Therefore, after two years, there will be a total of $1,375 paid and $125 paid in interest.
Hope this helps! :D
c(x) = -5x^2+x
Find c(4)
Answer:
c(4) = -76
Step-by-step explanation:
c(x) x=4 so plug 4 in for x
-5(4)² + (4)
Do parentheses first so... 4² = 16
-5(16) + 4
-5(16) = -80
-80+4 = -76
c(4) = -76
SOS!! Please help, I have no idea what I'm doing smh
Answer:
slope of st is -0.25
slope of tu is 1
slope of us is -0.25
slope of sv is 1 so it is a parallelogram. the slope of the parallel lines needs to be the same to be a parallelogram. to find the slope, you need to find the change from the points of the referenced line, for example, slope of st you would label each point as x1, y1 and x2,y2. it does not matter which one you label and you can change them for each different line. you would then find the difference by subtracting (y2-y1) divided by (x2-x1) so 4-3=1 and 1-5 is -4. you then divide 1/-4 is -0.25. you the follow the steps for each line. is the parallel lines have the same slope, it is a parallelogram
Write the quadratic equation in standard form:
3x – 17 + 3x^2= -4
25 POINTS AND BRAINLIEST
Answer:
-2.4
Step-by-step explanation:
-54/22.5= -2.4
If it went down 54 degrees in 22.5 minutes, then you do -54/22.5, which gives you -2.4. So the temperature went down 2.4 F each minute. I think.
Which number line correctly shows -3- 1.5?
Web
3
0
2
3
- 3
2
3
13
0
PLSS HURRY IM ON A TIMER
Answer:
The first one
Step-by-step explanation:
What triangle is this ? Pleaseee helppppp !!!!!! Will mark Brianliest correct answer !!!!!!!!!!!!!!!
Answer:
isosceles right triangle
Please answer 1 - 3! thank you!
Answer:
The first one is
5x * 10
(x is the variable) TIMES 10
Step-by-step explanation:
Which triangles are similar A or b? I need help.
Answer:
A!
Step-by-step explanation:
How manys days makes a leap year?
Answer: In an ordinary year, if you were to count all the days in a calendar from January to December, you'd count 365 days. But approximately every four years, February has 29 days instead of 28. So, there are 366 days in the year. This is called a leap year.
Step-by-step explanation:
The area of the September is 336cm is all this model rectangles are exactly the same what is the perimeter of rectangle if the length of one rectangle is 12 CM
Answer:
Perimeter is 80cm
Step-by-step explanation:
A rectangle's area is calculated by multiplying the length by the width. If we are given the area of the rectangle and the length then we would simply need to solve for the width of the rectangle using the area formula we just mentioned...
A = l * w
336[tex]cm^{2}[/tex] = 12cm * w ... divide both sides by 12cm
28cm = w
Now we can see that the width of this rectangle is 28cm. To find the perimeter we need to add all four sides together, since we know that a rectangle's opposite sides are the same then we add the length and the width twice to calculate the perimeter (P)
P = 12cm + 12cm + 28cm + 28cm
P = 80cm
which is a linear equation with a slope of 1/2 and a y-intercept of -5
Answer:
u say which but don't even give us options.
The graph below relates y, the distance Kelly walked, to x, the amount of time that Kelly walked. What is the value of y when x = 1 ?
Answer:
You need to show the graph.
Step-by-step explanation:
Solve x2 + 32x = –255 by completing the square.
Question 8 options:
x = –17 and x = –15
x = –17 and x = 15
x = 15
No Real Solutions
Answer:
-15, -17
Step-by-step explanation:
x^2 + 32x = –255 move the -255 to the left
x^2 + 32x +255=0
What two number when multiplied equal 255? Those same two numbers when added make 32. 17*15 make 255 and added is 32
(x+15)(x+17) For x+15=0 move the 15 to the other side. x= -15. Same with x+17=0 is x= -17
x= -15, -17
Heather works as a waitress at her family’s restaurant. She works 4 hours every morning during the breakfast shift and returns to work each evening for the dinner shift. In the last four days, she worked 26 hours. If Heather works the same number of hours every evening, how many hours did she work during each dinner shift?
Answer:
5 hours
Step-by-step explanation:
she works 5 hours each dinner shift
Nick is saving up for a laptop. His dad gave him $50 to start a savings account. He earns $9 every hour from his job, which he also saves. Write the equation of a function that can be used to find y, the total Nick has saved after x hours.
fill in the blanks
y =__ x + __
The volume of an Amazon package is given by the function below.
8x^3+30x^2+13x−15
A. What is the area of the bottom of the box if the width is (4x+5) and the length is (x+3)?
B. Using the volume formula, find the height of the package. (V=lwh)
Please show work
Answer:
Step-by-Step Explanation:
Area of the base = length × breadth
= (4x + 5) (x + 3)
= 4x(x + 3) + 5(x + 3)
= 4x² + 12x + 5x + 15
= 4x² + 17x + 15
_____________________________________
Volume = length × breadth × height
8x³ + 30x² + 13x - 15 = (4x + 5)(x + 3) × h
[tex] \frac{ 8x³ + 30x² + 13x - 15 }{(4x + 5)(x + 3)} = h[/tex]
please help me with this question
Answer:
12cm
Step-by-step explanation:
You can draw a triangle with hypotenusa 13, height h and base 5 (the difference between the radius 9 and 4). Then pythagoras tells us that
13² = h² + 5²
so
h = 13² - 5² = √144 = 12
What is 5=-2/3x+b X=4
I’ll give Brainlylist
Answer:
b = 23/3
Step-by-step explanation:
5 = -2/3(4) + b
5 = -8/3 + b
5 + 8/3 = b
b = 23/3
Find the coordinates of the point P that divides the directed line segment from A to B in the given ratio.
A(-6, 9), B(2, 1); Ratio 5 to 3
Given:
Point P divides the line segment AB in 5:3 where A(-6,9) and B(2,1).
To find:
The coordinates of point P.
Solution:
Section formula: If a point divide a line segment in m:n, then the coordinates of point are
[tex]\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]
Point P divides the line segment AB in 5:3 where A(-6,9) and B(2,1). Using section formula, we get
[tex]P=\left(\dfrac{5(2)+3(-6)}{5+3},\dfrac{5(1)+3(9)}{5+3}\right)[/tex]
[tex]P=\left(\dfrac{10-18}{8},\dfrac{5+27}{8}\right)[/tex]
[tex]P=\left(\dfrac{-8}{8},\dfrac{32}{8}\right)[/tex]
[tex]P=\left(-1,4\right)[/tex]
Therefore, the coordinates of point P are (-1,4).
PLEASE HELP WILL MARK BRAINLIEST
Answer:
A Plus Plumbing
Step-by-step explanation:
60(2)+80 = 120+80 = 200 < 250
Answer:
A- plus plumbing
Step-by-step explanation:
hope this helps
If bc+ad=b solve for a
Answer:
a = (b - bc)/d
Answer:
ad=b-bc
a=b-bc/d or a=b-bc
--------
d
*everything is divided by d on the other side...so b-bc is all divided by d