Answer:
3x+30=4x-8
-x=-38
x=38
Final Answer: [tex]x = 38[/tex]
Steps/Reasons/Explanation:
Question: What is the value of x in the equation [tex]3(x + 10) = 4(x - 2)[/tex]?
Step 1: Expand.
[tex]3x + 30 = 4x - 8[/tex]
Step 2: Subtract [tex]3x[/tex] from both sides.
[tex]30 = 4x - 8 - 3x[/tex]
Step 3: Simplify [tex]4x - 8 - 3x[/tex] to [tex]x - 8[/tex].
[tex]30 = x - 8[/tex]
Step 4: Add [tex]8[/tex] to both sides.
[tex]30 + 8 = x[/tex]
Step 5: Simplify [tex]30 + 8[/tex] to [tex]38[/tex].
[tex]38 = x[/tex]
Step 6: Switch sides.
[tex]x = 38[/tex]
~I hope I helped you :)~
One acute angle of a right triangle measures 35°. What is the measure of the other acute angle? ·
Answer:
55
Step-by-step explanation:
A right triangle always has one angle which is equal to 90 degrees. You have been given the second angle which is 35 degrees hence to get the second acute angle you do:
180 - (90+35)
= 55
Answer:
we have,,
the traingle having one actue angle is 35degree
i.e angle ACB be 35degree, AND
another one angle ABCis 90degree
Also, let angle Bac be x
now,,
x+35+90=180(being the sum of traingle)
or,x=180-125
or,x=55
therefore, the value i.e angle BAC be 55 degree.
1. 0 f the 320 eighth
grade students at
HNMS, 35% are female.
How many eighth grade
students are male?
Answer:
Step-by-step explanation:
65% of them are male, obviously, but to figure out what 65% of 320 is, you have to do 320*.65. That gets you 208. The answer is 208
Answer:
65/100×320=208males
Step-by-step explanation:
what is y= 1/3 x - 5
Whats the answer to -6(12p - 8n) in distributive Property?
Answer:
−72p+48n
Step-by-step explanation:
Could u help me !! Plz I will gave Brainliest
Answer:
1.) 120.722222206 or 120.72
2.) 650.250000382 or 650.25
Step-by-step explanation:
What is the slope of the line that passes through the points (4, 5) and (12, 7)?
Answer:
1/4
Step-by-step explanation:
To find slope, we use the formula rise over run (y2-y1 over x2-x1)
So first, our y's: 7-5=2
And our x's: 12-4=8
2/8 simplifies to 1/4
The cost of one apple and one banana at the school canteen is $1 and the cost of 3 apples and 2 bananas is $2.40. Find the cost of a single banana, using simultaneous equation, elimination method. Show full working out.
Answer:
I don't know
I don't know
Charlie wants to earn at least $33 trimming trees he charges six dollars per hour and pays nine dollars in equipment fees.
What are the possible numbers of hours Charlie could trim trees
Use t for the number of hours
write your answer as an inequality solved for t
Answer:
51
Step-by-step explanation:
Winter Temperatures
One winter day, the temperature in Houston is 8° Celsius. Find the
temperatures in these other cities. Explain or show your reasoning.
1. In Orlando, it is 10° warmer than it is in Houston.
2. In Salt Lake City, it is 8° colder than it is in Houston.
3. In Minneapolis, it is 20° colder than it is in Houston
Answer:18 , for the first one
Step-by-step explanation: because 10+8= 18
bus a leaves every 30 mins
bus b leaves every 20 mins
at 10 am both buses leave the station together
work out the next time they will leave at the same time
Answer:
Step-by-step explanation:
Find the LCM of 30 & 20
30 = 2 * 5 * 3
20 = 2 * 2 * 5
LCM = 2 * 3 * 2 * 5 = 60
60 minutes = 1 hour
So, again at 10am both will leave at the same time
Answer:
11 am.
Step-by-step explanation:
That would be the LCM of 20 and 30 which is 60 minutes.
So the nexrt time will be 10.00 + 60 mins
= 11.00 am.
what is the answer to 3(-4x-5)
Answer:
-12x -15
Step-by-step explanation:
3(-4x-5)
3*-4x -3*5
-12x -15
Answer:
-12x-15
Step-by-step explanation:
expand and simplify
-12x-15
A town has a population of 3000 and grows at 4% every year. To the nearest tenth of a year, how long will it be until the population will reach 4700?
Answer:
14.2 years
Step-by-step explanation:
The town grows 4% (0.04) every year.
3000 x 0.04 = 120, so the town gains 120 people every year.
The town needs 1700 more people to get to 4700.
So, 4700/120= 14.1666666667
That rounds up to 14.2 years.
Hope this helped :)
FIREWORKS The designers of a fireworks display want to have four fireworks travel along parallel trajectories. They decide to place two launchers on a dock and two launchers on the roof of a building. To make this display work correctly, what should the measure of angle 1 be? Explain.
Answer: 80°; the supplementary angle to the 30° angle and ∠1 is a corresponding angle to the 70° angle this means that the supplementary angle to the 30° angle and ∠1 is a 70° angle therefore 30°+m ∠1+ 70° equals 180°. So, m ∠1= 180°.
Step-by-step explanation:
The measure of angle 1 should be 80 degrees.
What are supplementary angles?Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two two angles are two pairs of supplementary angles.
Then its meaning; supplementary angles are aligned adjacent to each other, and their exterior sides will make a straight line.
The supplementary angle to the 30° angle and ∠1 is a corresponding angle to the 70° angle which means that the supplementary angle to the 30° angle and ∠1 is a 70° angle.
Therefore 30° + m ∠1 + 70° = 180°.
100 + m ∠1= 180°.
So, m ∠1= 80°.
Learn more about supplementary angles here:
https://brainly.com/question/2882938
#SPJ2
Conrad hires a band to pl ay for his graduation party. The band charges a flat fee of $200, plus $125 per hour after the first hour. Which equation best describes the cost, c, of the band in relation to the time, t, that they play?
PLEASE PLEASE HELP ME
The distance on a map from Lynchburg to Houston is 5 in. The scale on the map is 1/2 in = 100 mi. What is the actual distance?
A) 100 mi
B) 10,000 mi
C) 1000 mi
Answer:
1,000 miles
Step-by-step explanation:
set up the equation as
100x = d
where x equals the number of half inches between two points on the map
and d equals the distance between those points in real life
5 inches = 10 half inches so, plugged in the equation looks like
100(10) = d
simplify it to
1000 = d
and bam, the real distance is 1,000 miles
what’s the slope of the line?
Answer:
-10/3 or -3 and 1/3
Step-by-step explanation:
you can do y1-y2 over x1-x2 of two points
or you can count the rise oiver run from (5,-5) to (2,5) which is 10/3
but its negative slope cause your going back 3 to the left
Cherise plays basketball. The list shows the number of points she scored in each of her last six games. 12. 16. 10. 26, 14, 12 What is the mean number of points Cherise scored? O A 12 B. 13 C. 15 D. 16
anser:15
Step-by-step explanation:first add 12+16+10+26+14+12=90divide by how mnay numbers in this case 6 90 divied=15
Mean of given dataset is 15.
What is mean?It is the sum (total) of all the values in a set of data, such as numbers or measurements, divided by the number of values on the list is called mean.
Given dataset
12, 16, 10, 26, 14, 12
Mean = [tex]\frac{12+16+10+26+14+12}{6}[/tex]
= [tex]\frac{90}{6}[/tex]
= 15
Mean of given dataset is 15.
Find out more information about mean here
https://brainly.com/question/11163338
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Warren was drawing a shape on the grid below. He started at (2,0) and drew a line to (2,5), then to (4,3), then to (6,5) and finally a line to (6,0). What was made after all the points were connected?
Answer:
concave pentagon
Step-by-step explanation:
Answer:
c edge 2021
Step-by-step explanation:
In the figure above, AC = BC. If m
Answer:
80 degrees
Step-by-step explanation:
since ac and bc equal each other, it is an isosceles triangle. due to that, the measure of angle a and b are 50. so the measure of angle c is 80. due to some theorem, angle ecd is equal to angle acb. so ecd = 80
Whats the answer to 4x-5=2-x asap
Answer:
x=1.4
Step-by-step explanation:
Mr. Trujillo wants to paint a wall which contains a french door in his breakfast area as shown in the diagram below.
How many square feet of wall does Mr. Trujillo need to paint?
Answer:
the answer to this question that you are asking is 18 because it just is
Two mathematicians were both born in the last 500 years. Each lives (or will live) to be 100 years old, then dies. Each mathematician is equally likely to be born at any point during those 500 years. What is the probability that they were contemporaries for any length of time
Answer:
The answer is "0.36".
Step-by-step explanation:
we assume, that they are not blood-relatives, then we need both the dates (birth and death)
Births between 1512 and 2012 may occur at any time, and all of the math forms are what we have to be born at least 100 years apart.
Pr(Mathematician 1 is born inside an interval of 1512-2012 on a particular year)= [tex]\frac{1}{50000}[/tex])
Mathematician 2 born in 1512-2012 interval on every specific year) = [tex]\frac{1}{50000}[/tex]
S Year of birth'
After that, We need to find all of the years of absolute value (birth the year Mathematician 1-birth year of Mathematician 2) <= 100 or give the probability of this happening.
Prob(Mathematician 1 birth between 1512-2012 in a specific group of 100 years):
[tex]\to \frac{100}{500}=\frac{1}{5}[/tex]
For just a mathematician, are using the same rationale 2.
By using fact for freedom now Pr(that the dual births are divided by 100 years)) = 1-Pr(they are divided by more than 100 years):
[tex]\to 1- (\frac{400}{500})^2 \\\\\to 1- (\frac{4}{5})^2 \\\\\to 1- \frac{16}{25}\\\\\to \frac{25 -16}{25}\\\\\to \frac{9}{25}\\\\\to 0.36[/tex]
What is the value of the expression?
Answer:
Option D
Step-by-step explanation:
I evaluated the numbers in the parentheses and multiply both of them. Then I found the answer that is equivalent to mine. I got 7/10, which is also equal to 7.0 x 10^-1.
Hope this helps! :)
[Shapes]
How many degrees is ZA’BC in this cube?
please help me i don't understand
What is the correct answer?!
HELP FAST!
Answer:6.66
Step-by-step explanation:
I’m pretty sure its infinite if not just putt that answer
Answer: 84 r4
Step-by-step explanation:
I think that is correct.
Which function is graphed?
Answer:
A
Step-by-step explanation:
The included point is (1,3) and the vertical intercept is (0,2)The root is (2,0) and the excluded point is (1,1)Hope this helps.Answer: C
Step-by-step explanation:
just took the quiz !
factorise the expression 4(x+1)^2-49 . plz solve this i will mark you the brainliest
Answer:The answer is : Expand the square
4(x+1)the second square - 49
4(x+1)x+1)-49
The solution is : 4x second square + 8x - 45
Step-by-step explanation:
I’ll love you forever if u can help me wit dis ASAP ILL GIVE BRAINLIEST
Answer:
love me then
Step-by-step explanation:
Round this number to the nearest thousand
13,278
Answer:
13,000................
Answer:
13,000
Step-by-step explanation:
Its 13,000 because that 2 changes into a 3 but three isn't over 5.
Does anybody know what (20x30)+10 to the second power is?
Answer:
372,100.............
Answer:
[tex]372100[/tex]
Step-by-step explanation:
A number to the [tex]x[/tex] power represents [tex]x[/tex] amount of times the number is multiplied by itself. To the second power means that the number is multiplied by itself twice.
[tex][(20\times30)+10]^2 = 610^2[/tex] (first work on terms inside parentheses)
[tex]= 372100[/tex] ([tex]610^2 = 610\times 610[/tex])
Hope this helps :)