Answer:
Step-by-step explanation:
(4a - 3)/(3b + 1) = 39/(a + 1) You are not going to get a numerical answer for this. Cross multiply
(4a - 3)(a + 1) = 39(3b + 1)
4a^2 + a - 3 = 117b + 39
4a^2 + a - 42 = 117b
b = [tex]\frac{a^2 +a - 42}{117}[/tex]
Answer:
b = 3
Step-by-step explanation:
I think that the relations are the following
[tex]\frac{QP}{XY}=\frac{RS}{VZ}=\frac{PT}{XW}\\\\\frac{39}{13}=\frac{4a-3}{a+1}=\frac{5a+6b}{5b+1}\\\\3=\frac{4a+3}{a-1}=\frac{5a+6b}{5b+1}[/tex]
so we first solve for a and then for b
[tex]3=\frac{4a-3}{a+1}\\\\3(a+1)=4a-3\\\\3a+3=4a-3\\\\4a-3a=3+3\\\\a=6[/tex]
and now for b
[tex]3=\frac{5a+6b}{5b+1}\\\\3(5b+1)=5a+6b\\\\15b+3=5a+6b\\\\15b=5a+6b-3\\\\15b-6b=5a-3\\\\9b=5a-3\\\\b=\frac{5a-3}{9}\\\\b=\frac{5(6)-3}{9}\\\\b=\frac{30-3}{9}\\\\b=\frac{27}{9}\\\\b=3[/tex]
Select the correct answer
Jay and Kevin are showing the snow off a driveway. Working together, they can dear the driveway of snow in 14 minutes. Working alone
would take en 21 minutes longer to clear the driveway of snow than it would take jay working alone. When the number of minutes
would take ay to dear the driveway of snow when working alone, the situation is modeled by this rational equation
How long would it take jay to dear the driveway of snow working alone!
Answer:
7 minutes
Step-by-step explanation:
When Jay and Kevin work together to clear the driveway of snow it takes an average of 14 minutes. If Jay or Kevin works alone to clear the driveway he can clean it in 21 minutes. In total if Jay works alone then he can clean the driveway by spending additional 7 minutes.
Answer:
21
Step-by-step explanation:
Find the value of x, rounded to the nearest tenth place.
O 13.9
O 13.7
O 13.6
O 13.8
Alex can type 270 words in three minutes how many words per minute can Alex type
Answer:
Step-by-step explanation:
90
WHAT IS THE SLOP PLEASE HELP ME I AM TIMED
Answer:
the answer is 2 because between the points it goes up to and over 1 which make the slope 2/1 or 2.
Step-by-step explanation:
The slope is 2. You can figure it out by counting how many units you go up/down and dividing it by how many units you go left/right. This is called “rise over run”
What is the y-intercept of the function described by the equation y=15x - 60*
Choose from below
15
-60
60
100
Other:
on a map with a scale 1: 25000,the area of a lake is 33.6 square centimeters. calculate the actual area of the lake, giving your answer in square kilometers
Given :
On a map with a scale 1: 25000 .
The area of a lake is 33.6 square centimeters.
To Find :
The actual area of the lake.
Solution :
Let, actual area of lake is A.
So,
[tex]\dfrac{33.6}{A}=\dfrac{1}{25000}\\\\A = 840000\ cm^2[/tex]
We know , [tex]1 \ cm^2 = 10^{-10}\ km^2[/tex]
Area in km² is :
[tex]A = 840000\times 10^{-10}\ km^2\\\\A = 8.4 \times 10^{-5}\ km^2[/tex]
Hence, this is the required solution.
If a triangle has a 30° angle and a 60° angle, then the triangle is an obtuse triangle
True or false
Answer:
False
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
60+30=90, and because a triangle always has a total of 180 degrees for their interior angles, the remaining angle is 90 degrees, so it is a right triangle, not obtuse.
Calculate the slope of the line passing through (3.8) and (-4,2).
Answer:
6/7
comment if you need an explanation
10.3 )200.3865 if it is wrong then...... but if it is corect then u get brainliest
guys someone banned me because i said the right answer cherbears lz banned her
Through (2,-5); perpendicular to 3y=x-6
Answer:
y=-3x+1
Step-by-step explanation:
Have a good one.
Type the correct answer in the box. Round your answer to the nearest integer.
B
D
30
35
A
С
In the figure, if m_ABD = 120°, then m_ADC =
-4345
Answer:
[tex]m\angle ADC=132^\circ[/tex]
Step-by-step explanation:
The Law of Sines
It is an equation relating the lengths of the sides of a triangle to the sines of its opposite angles. If A, B, and C are the lengths of the sides and a,b,c are their respective opposite angles, then:
[tex]\displaystyle \frac{A}{\sin a}=\frac{B}{\sin b}=\frac{C}{\sin c}[/tex]
We have completed the figure with the variable x for angle BDA. Thus
[tex]\displaystyle \frac{35}{\sin 120^\circ}=\frac{30}{\sin x}[/tex]
Solving for x:
[tex]\displaystyle \sin x=\frac{30\sin 120^\circ}{35}[/tex]
Calculating:
[tex]\sin x=0.742[/tex]
[tex]x=\arcsin 0.742[/tex]
[tex]x\approx 48^\circ[/tex]
Since angles ADC and x are linear, their sum is 180° and:
[tex]m\angle ADC=180^\circ-48^\circ[/tex]
[tex]\mathbf{m\angle ADC=132^\circ}[/tex]
need help.with this problem
Answer:
A' (2,2) B' (-2,1) C (3,-3)
i need help with this problem
Answer:
C
Step-by-step explanation:
in trangle NET the angles are 81 and 34 so the other angle must be 180-81-34=65, the other triangle has the same measurments for angles 81-34-65 so the triangles are similar because of AA similarity theorem
ΔHMJ~ΔNET by AA similarity
the sum of 9 times a number and 4 is 6
Answer:
2/9
Step-by-step explanation:
6 - 4 = 2
2 divided by 9 = 2/9
Suppose that you want to estimate the proportion of students at your college that attend at least one of the college's sports events. Which sampling plan will produce the most reliable results?
A. Select 50 students at random from the college.
B. Select 100 students at random from students attending one of the college's football games.
C. Select 200 students at random from the list of student athletes.
D. Select 300 students who purchase tickets to at least one of the college's sports events. . .
Answer:
" select 50 students at random from the college." is more reliable
Option A) is the correct answer
Step-by-step explanation:
Since we are interested in the proportion of students at your college that attend at least one of the college sports .
we need to get the random sample of the college students and then ask them if they attended at least one sports events to get the required proportion, therefore
sampling plan that will produce the most reliable results will be; to
" select 50 students at random from the college." is more reliable
Option A) is the correct answer
Please help me out.
Can the lengths 40, 60, and 80 form a supplementary triangle?
Answer: Yes
Step-by-step explanation:
A supplementary triangle has sides adding up to 180°.
We have the side lengths 40, 60, and 80.
To find out if it is a supplementary triangle, we will add all the sides.
40 + 60 + 80 = 180
We get 180° as our answer when we add.
We got 180°, so the answer is yes, it can.
Best of Luck!
Answer:
yes.
Step-by-step explanation:
Any angle that adds up to 180 is a supplementary angles.
based on your examples 40, 60, 80, if you sum it up...
it equates to 180. so the answer is yes.
Which line is the graph of -3x=y
A B Or C
Answer:
Line A
Step-by-step explanation:
Factor the expression.
9x + 21
PLEASE HELP ME ILL GIVE U 30 POINTS
Find the area, in square units, of ABC plotted below.
Answer:
43.55
Step-by-step explanation:
1. Use the distance formula on both points AC and AB.
Distance formula is this:
[tex]d=\sqrt{(x2-x1)^2+(y2-y1)^2} \\\\d=\sqrt{(1--5)^2+(8--7)^2} \\\\d=\sqrt{(6)^2+(15)^2} \\\\d=\sqrt{36+225} \\\\d=\sqrt{261} \\\\[/tex]
Distance for AC is 16.16
Now do the same with the numbers for AB and get the distance of 5.39
2. To get the area, use the formula 1/2 x base x height
AB is the base and AC is the height.
1/2 x 16.16 x 5.39 = 43.55
The area of triangle ABC is 43.5 square units.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
The shape ABC is a triangle.
Where,
AB = Base
AC = Height
A = (1, 8)
B = (6, 6)
C = (-5, -7)
First, let's find the length of AB using the distance formula:
AB = √((6-1)² + (6-8)²)
= √(25 + 4)
= √(29)
Next, let's find the length of AC using the distance formula:
AC = √((1-(-5))² + (8-(-7))²)
= √(36 + 225)
= √(261)
The area of the triangle ABC can be found using the formula:
Area = (1/2) x base x height
We know that AB is the base and AC is the height,
Area = (1/2) x AB x AC
Area = (1/2) x √(29) x √(261)
Area = (1/2) x √(7569)
Area = (1/2) x 87
Area = 43.5
Therefore,
The area of triangle ABC is 43.5 square units.
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ2
Rita bought a video game in Miami. The game was $40. Miami has a 7% sales tax. How much money did Rita pay for the video game including sales tax?
$43.40
$42.80
$47.00
$68.00
Answer:
7% of 40 is 2.8
40 + 2.8= 42.80
hope this helped
Simplify:(4x2 - 2x) - (-5x2 - 8x).
Answer: 92x+6
Step-by-step explanation:
1. (42−2x)+52+8
2. 42−2x+52+8
3. 92−2x+8
4. 92+6x
I hope this is the answer :P
X=UHB SOLVE FOR H.
SOMEONE HELP ME PLS I BEG YOU!!
Answer:
[tex]\frac{X}{UB} = H[/tex] is the answer.
Step-by-step explanation:
Since we are solving for H, we need to get rid of everything that isn't H.
X = UHB can also be shown as X = UBH
Divide by UB on both sides to equal to H.
[tex]\frac{X}{UB} = H[/tex]
This is your answer.
#teamtrees #WAP (Water And Plant)
What is the perimeter of this figure?
6x+6
6x+10
4x+6
4x+8
Answer: 4x+8
Step-by-step explanation:
Okay since the area for the block is X, two numbers multiplied together is X.
Since the big block has an area of X^2, then this shows the sides to be X.
This gives the sides of the block with area X to be 1 and X.
Now just add up every side like this : 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + x + x + x + x to get 4x+8
NEED HELP ASAP!!! WILL MARK BRAINLIEST!!!!!!
**easy**
The figure is made of rectangular prisms. What is the volume?
Step-by-step explanation:
3×3=9. 3 faces so 9×3=27
10×3=30. 4 faces so 30×4=120
6×3=18. 2 faces so 18×2= 36
15×3=45. 3 faces so 45×3= 135
120+135=255
36+27=63
255+63=318
answer =318
A particular fruit's weights are normally distributed, with a mean of 281 grams and a standard deviation of 33 grams. If you pick one fruit at random, what is the probability that it will weigh between 291 grams and 299 grams
Answer:
0.0882
Step-by-step explanation:
Given that:
Mean(m) = 281
Standard deviation (s) = 33
Probability of weight between 291 and 299 gram
Obtain the standardized score (Zscore):
P (X ≤ 291)
Zscore = (x - m) / s
Zscore = (291 - 281) / 33
Zscore = 10 / 33 = 0.303
P(Z ≤ 0.303) = 0.61906 (Z probability calculator)
P (X ≤ 299)
Zscore = (x - m) / s
Zscore = (299 - 281) / 33
Zscore = 18 / 33 = 0.5454
P(Z ≤ 0.5454) = 0.70726 (Z probability calculator)
Hence, probability of weight between 291 and 299 gram = 0.70726 - 0.61906 = 0.0882
What is the value of x?
Answer:
Step-by-step explanation:
The triangle is equilateral. That means that <N = 60 degrees
7x - 3 = 60 degrees Add 3
7x = 60 + 3 Combine the right
7x = 63 Divide by 7
7x/7 = 63/7
x = 9
68=u-11
i need help lol pls
Answer:
u=79
Step-by-step explanation:
68=u-11
add 11 to 68
u=79
-2(n+1)=6
n=
please help
-2(n + 1) = 6
Distribute the -2:
-2n -2 = 6
Add 2 to both sides:
-2n = 8
Divide both sides by-2
N = -4
120 boys try out for the middle
school football team. The ratio of
offensive players to defensive
players is 13:12. Use a tape diagram
to find out the number of
offensive players to defensive
players.
Answer:
Step-by-step
Assuming that "43" is 4:3,
21/3 = 7
4 * 7 = 28
There are 28 offensive players.ation:
Answer:28 defensive players
Step-by-step explanation:
WILL GIVE BRAINLIEST
Step-by-step explanation:
[tex]\qquad\quad {:}\leadsto\sf \dfrac {2x (x+7)}{\cancel{(x-3)}}\times {\dfrac {(x-9)\cancel{(x-3)}}{8x^2 (x+7)}}[/tex]
[tex]\qquad\quad {:}\leadsto\sf \dfrac {2x\cancel{(x+7)}}{x-3}\times {\dfrac {x-9}{8x^2 \cancel{(x+7)}}}[/tex]
[tex]\qquad\quad {:}\leadsto\sf \dfrac{2x (x-9)}{8x^2}[/tex]
[tex]\qquad\quad {:}\leadsto\sf \dfrac {\cancel{2x}^2-18x}{\cancel{8x}^2}[/tex]
[tex]\qquad\quad {:}\leadsto\sf \dfrac {18x}{4}[/tex]
[tex]\qquad\quad {:}\leadsto\sf \dfrac {9x}{2}[/tex]
[tex]\qquad\quad {:}\leadsto\sf 4.5x [/tex]