Answer:
x = 5
Step-by-step explanation:
10x + 5x = 75
15x = 75
/15 /15
x = 5
Check your answer:
10x + 5x = 75
10(5) + 5(5) = 75
50 + 25 = 75
75 = 75
This statement is correct.
Hope this helps!
Hello.
First, add the x's:
[tex]\mathtt{10x+5x=75}[/tex]
[tex]\mathtt{15x=75}[/tex]
Now, divide both sides by 15:
[tex]\mathtt{x=5}[/tex]
I hope it helps.
Have a nice day.
[tex]\boxed{imperturbability}[/tex]
What is the equation of the line that passes through the point (1,8) and has a slope of 11?
Step-by-step explanation:
the easiest approach for a given point and slope of the line is the point-slope form
y - y1 = a(x - x1)
with "a" being the slope, and (x1, y1) being a point on the line.
so, we get
y - 8 = 11(x - 1)
if we need the slope-intercept form
y = ax + b
we simplify the point-slope form
y - 8 = 11x - 11
y = 11x - 3
The turtle travels 19 inches in one hour. At that rate, how far can the turtle go in 39 hours?
Answer:
19 inches is 48.26 and 39 hours is 2340 so 2340/48.26=48.427
Step-by-step explanation:
Please hurry Interior and Exterior Triangle Angles
Solution:
Note that:
Sum of interior angles = 180°(5x + 7) + (4x + 16) + (5x + 17) = 180Simplify the equation to find x.
(5x + 7) + (4x + 16) + (5x + 17) = 180=> (14x + 40) = 180=> 14x = 140=> x = 10Sum of angles=180
[tex]\\ \rm\bull\rightarrowtail 5x+7+4x+16+5x+17=180[/tex]
[tex]\\ \rm\bull\rightarrowtail 14x+40=180[/tex]
[tex]\\ \rm\bull\rightarrowtail 14x=140[/tex]
[tex]\\ \rm\bull\rightarrowtail x=10[/tex]
A rectangular prism is 3 feet long and 3 feet wide. Its volume is 90 cubic feet. What is the height of the rectangular prism?
Solution:
We know that:
Volume of rectangular prism = L × B × H = 90 ft³Substitute the length, breadth, and height to find the volume of the rectangular prism.
=> 3 × 3 × H = 90 ft³Now, let's simplify the LHS.
=> 9 × H = 90 ft³Further simplify the equation by dividing 9 both sides.
=> 9 × H/9 = 90 ft/9=> H = 10 ftThus, the height of the rectangular prism is 10 feet.
Kevin can mow the lawn in 1.5 hours. Together, Kevin and Eric can mow the lawn in 30 minutes. How long will it take Eric to mow the lawn alone?
HELP PLS
Answer:
45
Step-by-step explanation:
These work problems are always done in terms of fractions ie if both (Kevin & Eric) took 30mins to mow and Kevin took 1.5hrs (90mins) alone then we can make an equation like below
1/time took for both = 1/time took for Kevin + 1/time took for Eric
1/30 = 1/90+1/x ==> calling time took for Kevin x
solving the above 1/x = 1/30-1/90
1/x=2/90
x=45
Given that Kevin takes 1.5 hours to mow the lawn alone and together
with Eric it takes 30 minutes The time it takes Eric alone is 45 minutes.
How can the rate of work of Eric be found?The time it takes Kevin to mow the lawn, K = 1.5 hours
The time it takes Kevin and Eric to mow the lawn, B = 30 minutes = 0.5 hours
Required:
The time it takes Eric to mow the lawn alone.
Solution:
Let K represent the time it takes Kevin to mow the lawn alone and let E
represent the time it takes Eric to mow the lawn alone, we have;
[tex]\mathbf{\dfrac{1}{K} + \dfrac{1}{E} }= \dfrac{1}{T}[/tex]
Which gives;
[tex]\dfrac{1}{1.5} + \dfrac{1}{E} = \dfrac{1}{0.5}[/tex]
Which gives;
[tex]\dfrac{1}{E} = \dfrac{1}{0.5} - \dfrac{1}{1.5} =\dfrac{4}{3}[/tex]
Therefore;
[tex]E = \dfrac{1}{\dfrac{4}{3} } = \dfrac{3}{4} = \mathbf{ 0.75}[/tex]
The time it takes Eric to mow the lawn alone, E = 0.75 hours
0.75 hours = 0.75 × 60 minutes = 45 minutes
The time it takes Eric to mow the lawn alone, E = 45 minutes
Learn more about proportions here:
https://brainly.com/question/15638750
In a video game, Sonya scored 70 % fewer points than Trent. Sonya scored 378 points.
How many points did Trent score?
Answer:
113.4 points.
Explanation:
Use the Percent Equation to solve this answer.
378(100%-70%) = ?
378(30%) = ?
113.4
how can I simplify b x b x b x b
Answer:
b⁴
Step-by-step explanation:
b x b x b x b
b² x b²
b⁴
Kevin needs to buy shrubs for his yard. He can buy 6 shrubs for $72.00 at a nursery and 7 shrubs for $77.00 at a garden store.
Answer:
He would pay less at the garden store.
Step-by-step explanation:
We have to find the unit prices of both shrubs.
The unit price is the cost per unit, and to find the unit price, divide the price by the number of units.
72/6 = 12
77/7 = 11
He would pay less at the garden store because the unit price is lower than the nursery.
what are the following values from least to greatest 0 6 1/2 -1 9 can you help me pleaseeee
10 hour - 2 hours 25 minutes -3hours 35 minutes
Answer:
Step-by-step explanation:
10 hours - 2 hours 25 minutes - 3 hours 35 minutes
Lets just do this
2 hours 25 minutes + 3 hours 35 minutes
25 minutes + 35 minutes = 60 minutes
60 minutes = 1 hour
now we have 2 hours + 3 hours + 1 hour
2 + 3 +1 = 6
now we have 10 hours - 6 hours
10 - 6 is 4
4 hours.
find the length of side x in simplest radical form with a rational denominator
23° sería te sirve dime qué si ☜ (↼_↼)
6. You had a coupon for 25% off from your favorite restaurant. You paid $15. How much was the bill before your discount?
Answer:
18.75
Step-by-step explanation:
got this from calculator so might be wrong
u add 25 percent to 15
The cost of buying a mobile phone is 30% of the cost of buying a computer. if it costs $800 to buy a computer ,how much is the mobile phone ?
Answer:
$240
Step-by-step explanation:
30/100×800
=30×8
=$240
Therefore, The cost of mobile phone is $240.
(would appreciate it if you could mark me the brainliest :))
The ratio 3/8 to 1/2 has a unit rate of 3/16. True or false?
Answer:
True
…………………………………………
Answer:
Step-by-step explanation:
true
Please help me with my homework
Answer:
...12 question i dont know (B)(D)i Guess (C)(B)....13 question i dont knowStep-by-step explanation:
Hope it helps!!
PLS HELP!!
Take the point (2,-3), translate it 4 units down and 5 units to the right, then reflect it over the x-axis. Where is the point located after these transformations? Show all steps in case you make a mistake
Answer:
( 7 , 7 )
Step-by-step explanation:
Translation:
( 2 , - 3 ) ------> ( 2 + 5 , - 3 - 4 ) = ( 7 , - 7 )
Reflection:
( 7 , - 7 ) ------> ( 7 , - ( - 7 ) ) = ( 7 , 7 )
in planning her retirement, liza deposits some money at 4.5% interest, with twice as much deposited at 5%. Find the amount deposited at each rate if the total annual interest income is $2755
Answer:
For this problem, we can assume that we deposits X money at 4.5% interest, than we can know that 2X were deposited at 5% interest, therefore we can get the equation of: 4.5%*X+5%*2X=2755, than we can get X=19000, so the 2X=38000, than we can concluded that: she deposited $19000 at 4.5% and $38000 at 5%.
Step-by-step explanation:
Mr. Osmond bought a computer that cost $2,500. How much did he pay for the computer if the sales tax rate was 7 present
Answer:
$2,675
Step-by-step explanation:
7% of $2,500 is $175. Adding $2,500 and $175 gets you $2,675
Hope this helps, and I’d appreciate brainliest but if not it’s okay!
Answer:
If the sales tax rate was 7%, Mr. Osmond would have bought the $2,500 computer for a total of $2,675.
Step-by-step explanation:
To calculate the total Mr. Osmond paid for his computer, we must find 7% of the computer's cost, $2,500, and then add that figure to $2,500.
To find 7% of $2,500, multiply 2,500 by the decimal form of 7%, .07:
[tex]2500 * .07=175[/tex]Since we know that 7% of $2,500 is $175, we can now add that figure to $2,500:
[tex]2500+175=2675[/tex]
Therefore, we can conclude Mr. Osmond paid a total of $2,675 for the computer.
What is the intermediate step in the form (x+a)^2=b(x+a)
2
=b as a result of completing the square for the following equation?
x^2+ +52= −20x−3
Answer:
Step-by-step explanation:
x²+2 ×x×5+5²=-20x+2×x×5-3
(x+5)²=-20+10x-3
(x+5)²=-10x-3
what is the x and y intercept of 4x-1=3y+5
Help please! Thank you :)
What is the correct justification for the first step in solving this equation? 3(x - 4) + 1 = 12x
10 points
Addition Property
Division Property
Commutative Property
Distributitive Property
HELP DUE IN 10 mins The construction worker works for $5.50 per hour, but he does not get paid for his lunch time. He spent 3.8 hours for one onsite task, 1.3 hours for lunch and 4.4 hours on another on-site task yesterday. How much would the construction worker be paid?
Answer:
It would be $31.35
Step-by-step explanation:
Just add the hours together except the time he took for lunch. Then times that by how much money he makes per hour.
Answer:
Step-by-step explanation: Hi there.
First, add up the number of hours he worked (do not include lunch hours): 3.8+4.4=8.2
Then multiply those hours by how much he gets paid: 5.50*8.2=45.1
So the worker was paid $45.10.
Have a nice day! :)
Please help me please
Answer:
It's option d (Line Segment TS)
Please mark as brainliest
Answer:
Line TS
Step-by-step explanation:
how many ninths are there in 9 2/3
Answer:
87
Step-by-step explanation:
9 2/3 = 9/9 + 9/9 + 9/9 + 9/9 + 9/9 + 9/9 + 9/9 + 9/9 + 9/9 + 6/9 = 87/9
Answer: 87 ninths
Step-by-step explanation:
See how many 1/9ths fit inside 9 2/3 using division
[tex]9\:\frac{2}{3}\div \frac{1}{9}[/tex] or
[tex]\frac{29}{3}\div \frac{1}{9}[/tex]
[tex]=\frac{29}{3}\times \frac{9}{1}[/tex]
[tex]= \frac{87}{1}[/tex]
[tex]=87[/tex]
Test to see if 1/9 goes into 9 2/3 87 times
87 * 1/9
[tex]= \frac{87}{9}[/tex]
[tex]=\frac{29}{3}[/tex]
29/3 as a mixed fraction is 9 2/3. So therefore, there are 87 ninths in 9 2/3
Of 300 seventh graders predict how many use of computer 5-10 hours each week
Answer:
2250 hours of 300 computers used in average(mean) in a week
Step-by-step explanation:
300 * 7.5 hours(average hours) = 2250 hours
how to find mean or average of any amount of numbers ?
Basiccaly just add all numbers and then divide it by the numbers you added
example: The mean of 5-10 hours would be
5 + 10 = 15
15/2 = 7.5
An amount of $37,000 is borrowed for 13 years at 6.25% interest, compounded annually. If the loan is paid in full at the end of that period, how much must be paid back
Use the calculator provided and round your answer to the nearest dollar
Answer: 49583.54 dollars
==============================================================
Work Shown:
P = 37000 is the principal (aka amount loaned out)
r = 0.05 is the interest rate in decimal form
t = 6 is the number of years
n = 1 tells us we are compounding 1 time per year (aka annual compounding)
Those four values are plugged into the formula below and you use a calculator to simplify
A = P*(1+r/n)^(n*t)
A = 37000*(1+0.05/1)^(1*6)
A = 49583.538703125
A = 49583.54 is the full amount to pay back
Side note:
The amount of interest paid is A - P = 49583.54 - 37000 = 12583.54
16 can be written as:
A. 22
B. 44
C. 24
D. 82
E. 28
[C] [tex]2^4[/tex]
Step-by-step explanation:
I think each answer choice are;
[A] [tex]2^2[/tex]
[B] [tex]4^4[/tex]
[C] [tex]2^4[/tex]
[D] [tex]8^2[/tex]
[E] [tex]2^8[/tex]
Now we have to solve each by multiply:
[A] [tex]2^2[/tex] {2*2 = 4}
[B] [tex]4^4[/tex] {4*4*4*4=256}
[C] [tex]2^4[/tex] {2*2*2*2=16}
[D] [tex]8^2[/tex] {8*8=64}
[E] [tex]2^8[/tex] {2*2*2*2*2*2*2*2=256}
Hence, the correct answer is [C] [tex]2^4[/tex]
[RevyBreeze]
The temperature on Sunday was a high of 58 degrees. By the next Sunday, the lowest
temperature was -3 degrees. What was the difference in the Sunday temperatures?
so we take 58 and -3 and the equation to find differences
is x - y
so x=58
and y=-3
so then we do this
58 - (-3)
so 61 is correct
hope this helps
scav
PLSSSSSS HELP PLS
A teacher's age is 6 years greater than 2 times a student's age. A principal's age is 10 years greater than 3 times the student's age. If x represents the student's age in years, which expression represents how many years older the principal is than the teacher?
4x+1
x+4
4x + 5
x + 10
Answer:
Given ,student's age = x years.
Also ,Teacher's age = 2x + 6
And ,Principal's age = 3x + 10
------------------------------------------
Difference between ages ,
[tex]\bold{(3x + 10) - (2x + 6)} \\\bold{ = > 3x + 10 - 2x - 6} \\ \bold{= > x + 4}[/tex]
therefore ,
second option is the correct answer.
hope helpful ~
One weekend, a car wash cleaned 700 cars. The following weekend, there was a 43% increase in the
number of cars washed. How many cars were washed the following weekend
Answer: 1001
Step-by-step explanation:
1) you would do 700x43% and that would = 301
2) then you add 301 to 700, 301+700=1001 cars
