Solve for b
32 = 12 + 5/6b
Answers
Answer:
b=24, please give Brainliest if this helped you
Step-by-step explanation:
Related Questions
If a transversal intersects two parallel lines then find the ratio of the number of pairs of alternate angles to the number of pairs of corresponding angles so formed
Answers
all the information given in the question.
Assume two parallel lines as 'm' and 'n'.
And name all the angles formed by the
intersection of transverse with parallel
lines. Use the property that says that the
corresponding angles and opposite angles
are equal for a pair of parallel lines.
Combine the two hence formed equations
to get the required relationship.
Complete step-by-step answer:
Here in this problem, we are given two
parallel lines and a transversal intersects it.
Now within this situation, we need to prove
that each pair of alternate angles is equal.
Before starting with the solution to the
above problem, we must draw a figure
using all the information given to us.
Alternate angles are the two angles, other lines.
So according to the above figure, we
assumed that the two parallel lines be 'm
and 'n' with one transverse cutting both of
them at two points and forming eight
angles named as <1, <2, <3, <4, <5, <6,<7 and
<8
Here we need to prove that the pair
alternate angles, i.e. <3=<5 and <4=26
As we know that the corresponding angles
between two parallel lines are equal in
measure. A corresponding angle is the
angles that occupy the same relative
position at each intersection where a
straight line crosses two others.
i.e. <2=<6,<1= <5,43=<7 and <4=<8
•(i)
Also, the opposite angles formed in the
intersection of two lines are equal in
measure,
i.e. <1=43,42= <4,46= <8 and <5=<7
.. (11)
From relation (i) and (li), we can write two
pairs as <2=<6 and <2=<4 we can say <6=<4
Similarly, if we take two pairs from (i) and (li)
aS <1=<5
and <1=<3
From these above equations, we can
conclude that <3=<5
Therefore, we get the required relation
<3=45 and <4=<6
Hence, we proved that the alternate angles
of two parallel lines intersected by a
transverse are equal in measure.
Note: Remember that the original problem
was to prove that the alternate angles are
equal for two parallel lines and an
intersecting transverse. We here used our
assumption of two lines 'm' and 'n' and a
transverse using a figure. Naming the
angles formed on the intersection of these
lines helped us to form the relations and
equations. Questions like this method are
always useful. An alternative approach can
be to use the theorem that says that the From these above equations, we can
conclude that <3=<5
Therefore, we get the required relation
<3=25 and <4=26
Hence, we proved that the alternate angles
of two parallel lines intersected by a
transverse are equal in measure.
Note: Remember that the original problem
was to prove that the alternate angles are
equal for two parallel lines and an
intersecting transverse. We here used our
assumption of two lines 'm' and 'n' and a
transverse using a figure. Naming the
angles formed on the intersection of these
lines helped us to form the relations and
equations. Questions like this method are
always useful. An alternative approach can
be to use the theorem that says that the
sum of interior angles on the same side is
supplementary
there are 47 students in the science club. all but 5 of them went on a field trip to the planetarium. what is the total cost if each student who went on the field trip paid $7?
Answers
Answer:
294
Step-by-step explanation:
40x7=280
2x7=14
280+14=294
Answer:
$294
Step-by-step explanation:
There is a total of 47 students in the science club.
5 did not go on the trip.
Number of students who went on the trip: 47 - 5 = 42
42 students wen on the trip.
Cost per person: $7
Total cost for 42 students: 42 × $7 = $294
a spidere traveled 20 feet in 12 minutes. at this rate, how far could it travel in 3 minutes
Answers
Answer:
Spider travel in [tex]5ft[/tex] in 3 minutes
Step-by-step explanation:
A spider traveled 20 feet in 12 minutes.
Speed of spider is
[tex]\frac{20}{12} =\frac{5}{3} ft/min[/tex]
Now we need to find how far could it travel in 3 minutes
Distance
[tex]=3\times\frac{5}{3} \\\\=5ft[/tex]
help pls!! 3rd answer wasn’t correct
Answers
Answer:
-3
Step-by-step explanation:
The k value represents when the function moves up or down.
Since there are no vertical compressions or shifts, we can just focus on how much the graph went down. The function g(x) went down 3 units.
Therefore, k would equal -3.
Can you help me with this please.
Answers
Answer:
c, i believe!!
Step-by-step explanation:
have a good day! <33
Answer:
t = 6n
Step-by-step explanation:
6 divided by 1 = 6
PLEASE help, I'm begging, this was due to all the way back at November 12th, please help!!! Finding the Inverse of a Function Algebraically Practice Pt. 2
Answers
Answer:
19
Step-by-step explanation:
57 % of 200 calculate this please
Answers
so percentage is always out of 100
so 57%is upon 100 then it is 200 upon 1 cuz it is a whole
57% of 20057 /100×200/1114 so the ans is 114 i hope u understood itHey there!
57% of 200
= 57% * 200
= 57/100 * 200/1
= 0.57 * 200
= 57(200)/100(1)
= 11,400/100
= 114
Therefore, your answer is: 114
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
There are 8 tanks and 5 barrels. Each container has 45 liters of
oil. What is the total amount of oil in all the containers?
liters
Answers
Answer:
585
Step-by-step explanation:
Since there are 8 tanks and 5 barrels, you must add the two together,
[tex]8+5=13\\[/tex]
Then since there are 45 liters of oil in each containe, you have to multiply,
[tex]13x45=585[/tex]
There are 585 liters of oil
If a letter of the alphabet is chosen at random, what is the probability that it will be a vowel? (Y is not a vowel.) a. 1/2 b. 3/13 c. 1/5 d. 5/26 Please select the best answer from the choices provided A B C D
Answers
Answer: I believe D.
5184 divided by 27
JUST ANSWER
Answers
Answer:
[tex]5184 \div 27 = 192[/tex]
Step-by-step explanation:
Hope this helps you !!There are 4 juice cartons and 9 milk cartons in the school refrigerator. What is the ratio of juice cartons to total cartons
A. 4 to 9
B. 4 to 13
C. 5 to 9
D. 9 to 13
Answers
Answer:
c I took the test
Step-by-step explanation:
Mr. Jones spent $156 to attend a college football game.
- Twenty percent of this cost was for a parking pass.
- He spent the remainder of the money on two tickets for the game.
What was the price per ticket?
Answers
Answer: $62.40
Step-by-step explanation:
what is 20% of 156 ? 31.20
what is 156 - 31.2 ? 124.80
what is 124.8 / 2 ? 62.40
each ticket cost 62.40 dollars
what is the sum 1,826+2,149+1,023
Answers
Answer:
4998
Step-by-step explanation:
1000+2000+1000 = 4000
800+100 = 900
20+40+20 = 80
6+9+3 = 18
4000+900+80+18 = 4998
Hope that helps!
What are the steps to convert a number from standard notation to scientific notation?
Answers
Answer:
Step-by-step explanation:
The goal in scientific notation is to express a value in terms of a number that contains a single unit before the decimal point.
Examples:
10000: 1.0 x 10^4
23456: 2.3456x10^4
In both cases, the x10^4 is telling us to multiply the first number by 10,000. 10^4 is the same as 10x10x10x10 = 10,000
The justification for scientific notation is that is makes expression large and small numbers much easier, as well as reduces errors due to an incorrectly placed decimal.
An example: Divide 2500000000 by 5000. That would normally require setting up a long-hand division problem that not only wastes paper and pencil, but is also prone to decimal point errors.
Do the same problem with scientific notation:
Count the places you want to move the decimal point backwards to just beyond the 5 in 2500000000. It takes nine steps to move the decimal point to between the 2 and 5: 2.5 followed by 8 zeros. That's a total of next steps to go in front of the 5. This is written 2.5 x 10^9
5000 is represented by 5.0x10^4
Now when we divide the same numbers, but in scientific format, it is easier to see the answer:
(2.5x10^9)/(5.0x10^4)
2.5/5 = 0.5
10^9/10^4 = 10^5 [The exponents are subtracted when dividing with exponents: 9-4 = 5]
Put them together to find the final answer: 0.5x10^5
Then move the decimal point one spot to the right and reduce the exponent by 1:
5.0x10^4
------
Add exponents when multiplying: 10^3 x 10^5 = 10^8 (3+5=8)
Subtract when dividing: 10^7/10^2 = 10^5 (7-2=5)
Multiply when there is an exponent raised to another exponent: (10^4)^3 = 10^12 (4x3 = 12)
Which graph shows the solution to this system of inequalities?
y < 3x - 4
y ≥ x + 1
Answers
Answer:
c
Step-by-step explanation:
The correct answer is option D.
What's a system of inequalities?
A system of inequalities is a set of two or more inequalities in one or more variables. Systems of inequalities are used when a problem requires a range of solutions, and there is more than one constraint on those solutions.
How do you solve a system of inequalities?
Step 1: Solve the inequality for y. Step 2: Graph the boundary line for the inequality. Step 3: Shade the region that satisfies the inequality.Step 4: Solve the second inequality for y. Step 5: Graph the boundary line for the second inequality. Step 6: Shade the region that satisfies the second inequality.
Learn more about the system of inequalities here: brainly.com/question/4870108
#SPJ2
x+y=3
workout the value of 2x-2y
Answers
Answer:
-2
Step-by-step explanation:
x= 1
y= 2
2 times x(1)=2
2 times y(2)=4
2-4= -2
Form 8B were investigating how a metal bar expands while being heated. The bar
was originally 30 cm in length and it expanded to 31.75 cm.
Calculate the percentage increase in length. Give your answer correct to 1 decimal
place.
Answers
Answer:
5.8%
Step-by-step explanation:
to work out percentage increase:
(new value - original value) ÷ original value and times it all by 100
((31.75-30) ÷ 30) × 100
=5.8% (1dp)
A line passes through the points (-4,1) and (-3,3). This line can be modeled by the equation y = mx + b.
Complete the table to determine the values of m and b.
Answers
Answer:
m = 2, b = 9
Step-by-step explanation:
Find m (the slope) by subtracting y1 - y2 (1 - 3 = -2) and x1 - x2 (-4 - -3 = -1). Put the y answer on top of the x answer and simplify. -2/-1 = 2 because the negatives cancel each other out.
Find b by substituting one of the coordinates into the problem.
y = mx + b
1 = 2(-4) + b
1 = -8 + b
9 = b
Will mark brainly!! :)
What is the inverse of [tex]f(x)=-2x+7\\[/tex]
[tex]f^{-1} (x) =2x-\frac{7}{2}[/tex]
[tex]f^{-1} (x)=-2x+7[/tex]
[tex]f^{-1} (x)=\frac{1}{2}x-\frac{7}{2}[/tex]
[tex]f^{-1} (x)=-\frac{1}{2} x+\frac{7}{2}[/tex]
Answers
Answer:
[tex] {f}^{ - 1} (x) = - \frac{1}{2} x + \frac{7}{2} [/tex]
The vertices of AXYZ are X(-4, 7), Y(0, 8), and Z (2, -1).
What are the vertices of r(180, 0) (AXYZ)?
"
Answers
Answer:
Step-by-step explanation:
i think it true if right mark me as brainiest and thank
Which expressions are equivalent to -56z+28?
A.) 1/2⋅(-28z+14)
B.)(-1.4z+0.7) x 40
C.) (14-7z)⋅(-4)
D.)(8z−4)(−7)
E.)−2(−28z−14)
PLEASE HELP THANK YOU!!!
Answers
[(8-2) x (3+2) -1] x 3
Answers
87 is your answer.
Step-by step solution:Step 1: According to the DMAS rule, simplify the values that are inside the brackets.
=> [(8 - 2) x (3 + 2) - 1] x 3=> [(6) x (5) - 1] x 3=> [6 x 5 - 1] x 3=> [30 - 1] x 3=> 29 x 3Step 2: According to the DMAS rule, next, simplify the values that are having multiplication.
=> 29 x 3=> 87Final Answer:Therefore, 87 is your answer.
Hoped this helped.
GEOMETRY QUESTION NEED HELP ASAP 50 POINTS PLEASE PUT FULL ANSWER!!!! 2 part question find the answer to the one in the picture also find the measure of angle 7 also please
Answers
That makes angle E also = 95°
95+95 = 190 so 360-190 = 170
that makes angles 3 and 4 = 85°
angle 2 is 36° so that makes angle 6 = 36°
so u do 180-36-85 = 59° for angle 7
ANGLE 7 = 59°
Angle m
i need help please thanks
Answers
Answer:
I can't write the equation but getting the answer is easy.
The difference in volume of the 2 aquariums is .2 cubic feet.
The difference in weight is 12.48 pounds.
Therefore, .2 cubic feet of water weighs 12.48 pounds. Therefore the
weight of 1 cubic foot of water = 12.48 / .2 = 62.4 pounds.
Step-by-step explanation:
Suppose a normal distribution has a mean of 62 and a standard deviation of
4. What is the probability that a data value is between 56 and 64? Round your
answer to the nearest tenth of a percent.
Answers
Answer:
62.5%
Step-by-step explanation:
(56 - 62) / 4 = -1.5 z score = 0.0668
(64 - 62) / 4 = 0.5 z score = 0.6915
0.6915 - 0.0668 = 0.6247
Rounded this becomes 62.5%
The probability for the data value in between 56 and 64 is 62.5%.
What is z-score?
The z-score of a value is the count of the numbers of standard deviations between the value and the mean of set.
How to calculate z-score?z-score can be calculated by the formula
z = (x - μ)/σ
where,
μ is the mean
σ is the standard deviation
x is the data point
What is probability?A probability is a number that reflects the chance or likelihood that a particular event will occur.
According to the given question
Mean of a normal distribution, μ = 62
standard deviation of a normal distribution, σ = 4
Now for the data value 56, the z-score will be
z = (56 - 62) / 4 = -1.5 z score = 0.0668
So, the area under normal distribution curve z = -1.5
P(z = -1.5) = 0.0668
Similarly,
For the data value 64, the z-score will be
z-score = (64 - 62) / 4 = 0.5
The area under normal distribution curve z = 0.5 is given by
P( z = 0.5) = 0.69
Therefore, the probability for the data value in between 56 and 64 is given by
0.6915 - 0.0668 = 0.6247 = 62.5%
Hence, the probability for the data value in between 56 and 64 is 62.5%.
Learn more about the z-score and probability here:
https://brainly.com/question/25638875
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Calculate the volume of the storage tank to the nearest hundredth.
F.2,840.04 m3
G.8,520.12 m3
H.11,360.16 m3
J.34,080.47 m3
Answers
Answer:
gang gang shii
Step-by-step explanation:
gang gang.
What value of X is always
an outlier?
A) X> Q1 + 1.5 IQR
B) X>03 - 1.5 IQR
C)X
D) X > 1.5 IQR - Q1
E) X > Q3 +1.5 IQR
Answers
Answer:
Answer B
Step-by-step explanation:
Because (IQR) by 1.5 (a constant used to discern outliers). Add 1.5 x (IQR) to the third quartile. Any number greater than this is a suspected outlier. Subtract 1.5 x (IQR) from the first quartile.
There are 5 roses in a vase of 13 flowers. The rest are daisies.
a) What is the ratio of daisies to roses?
(b) What is the ratio of all flowers in the vase to daisies?
pls answer these
Answers
B)8:13
I’m not sure if this is right tho
LOOKING FOR THE ANSWER TO # 6Saving money is something that everyone should do, if they are able, even if the amounts are small. In
this activity, you will calculate savings based on patterns and graph and compare different functions that
represent savings.
Below is a savings plan for Jeanette. Use this table to answer the questions below.
# of Months Saving Account Balance
2 $70
4 $90
6 $110
8 $130
10 $150
1. How much money will Jeanette have saved after 12 months?
2. How much money will Jeanette have saved after 24 months?
3. In how many months will Jeanette have saved $140? $190?
4. What is the rate of change?
5. How does knowing the rate of change help you in answering questions in this problem?
6. What equation would you write to represent this data?
Answers
I'm not that good at explaining but here are my answers:
1- 170
2-340
3- 9 months for $140 and 14 months for $190
4- 10
5-If the x (or months savings) goes up or down, so does the y (or account balance)
6- 70y +20n= 2x
explanation:
1- 150 + 20 = 170
2- 170*2= 340
3-the number always goes up by 20, if it's something like an uneven number, let's say 3, which is after 2, add 10.
4- can't explain this, I used a calculator
5- i don't think I have to explain
6- I don't know, I just took a random equation and "plugged in" the numbers from the equation I was working on.
Johnny kicks a ball into the air. Assume the path of the ball can be modeled with a quadratic function. The ball reaches a height of 10 feet and lands on the ground 3 seconds later. Draw and label a graph that models the path of the ball. Write an equation that models the path of Johnny’s ball.
Answers
An equation that models the path of Johnny’s ball is [tex]y = -\frac{40}9(x - 1.5)^2 + 10[/tex]
The maximum height is given as:
[tex]h_{max}= 10ft[/tex]
And the time spent is:
[tex]t = 3s[/tex]
So, the vertex of the ball would be:
[tex]Vertex = (t/2,h_{max})[/tex]
This gives
[tex]Vertex = (3/2,10)[/tex]
[tex]Vertex = (1.5,10)[/tex]
Rewrite properly as:
[tex](h,k) = (1.5,10)[/tex]
The ball is on the floor after 3 seconds.
So, another point on the graph is:
[tex](x,y) = (3,0)[/tex]
A quadratic equation is represented as:
[tex]y=a(x - h)^2 + k[/tex]
Substitute [tex](x,y) = (3,0)[/tex] and [tex](h,k) = (1.5,10)[/tex] in [tex]y=a(x - h)^2 + k[/tex]
[tex]0=a(3 - 1.5)^2 + 10[/tex]
[tex]0=a(1.5)^2 + 10[/tex]
Evaluate the exponent
[tex]0=2.25a + 10[/tex]
Subtract 10 from both sides
[tex]2.25a =- 10[/tex]
Divide both sides by 2.25
[tex]a = -\frac{10}{2.25}[/tex]
Multiply by 4/4
[tex]a = -\frac{40}{9}[/tex]
Substitute [tex]a = -\frac{40}{9}[/tex] and [tex](h,k) = (1.5,10)[/tex] in [tex]y=a(x - h)^2 + k[/tex]
[tex]y = -\frac{40}9(x - 1.5)^2 + 10[/tex]
See attachment for the graph that models the path
Read more about quadratic functions at:
https://brainly.com/question/11441586