Step-by-step explanation:
8
y
Find
x
when
y
=
3
and
R
=
5
Give your answer as an improper fraction in its simplest form.
1. Arianna is standing at the bottom of a hill at the zoo. The angle of
elevation from her to the top of the hill is 17 degrees. If the hill is 50 feet
tall, how long is the walkway up the hill?
Given that,
The angle of elevation from her to the top of the hill is 17 degrees.
The hill is 50 feet tall.
To find,
The length of the walkway.
Solution,
h = 50 feet
Let the length of the walkway up the hill is x m. It is the hypotenuse of the right angle triangle. Using trigonometry as follows :
[tex]\sin\theta=\dfrac{50}{x}\\\\x=\dfrac{50}{\sin(17)}\\\\=171.01\ \text{feet}[/tex]
Hence, the walkway up the hill is 171.01 feet.
Which absolute value inequality has −7 and 4 as two of its solutions?
A. |x| − 3 30
D. |−7x| ≥ 49
Answer:
|x|-3 30
Step-by-step explanation:
|x|-3 30
|-7x|>=49
in |7x|>=49,
28>=49
which doesn't work
Hope this helps!
PLEASE HELPP ♥
Digit thinks that the graphs of exponential and logarithmic functions are more alike than they are different. Poly thinks that the graphs of exponential and logarithmic functions are complete opposites.
Using your interpretations of both Poly's and Digit's ideas, describe the relationship(s) between exponential and logarithmic graphs.
Answer:
An exponential function is a function of the form
f(x)=bx
where b≠1 is a positive real number. The domain of an exponential function is (−∞,∞) and the range is (0,∞).
Solve the equation: 52x−3=752x−3=7.
Since we can’t easily rewrite both sides as exponentials with the same base, we’ll use logarithms instead. Above we said that logb(x)=ylogb(x)=y means that by=xby=x. That statement means that each exponential equation has an equivalent logarithmic form and vice-versa. We’ll convert to a logarithmic equation and solve from there.
52x−3log
⎛⎝⎜
⎞⎠⎟=7=2x−352x−3=7log5
(7
)=2x−3
From here, we can solve for xx directly.
2xx=log5(7)+3=log5(7)+32
A logarithmic function is a function defined as follows
logb(x)=ymeans thatby=xlogb(x)=ymeans thatby=x
where b≠1b≠1 is a positive real number. The domain of a logarithmic function is (0,∞)(0,∞) and the range is (−∞,∞)(−∞,∞).
Solve the equation:
log3(2x+1)=1−log3(x+2).log3(2x+1)=1−log3(x+2).
With more than one logarithm, we’ll typically try to use the properties of logarithms to combine them into a single term.
log3(2x+1)log3(2x+1)+log3(x+2)log3((2x+1)(x+2))log3(2x2+5x+2)2x2+5x+22x2+5x−1=1−log3(x+2)=1=1=1=3=0log3(2x+1)=1−log3(x+2)log3(2x+1)+log3(x+2)=1log3((2x+1)(x+2))=1log3(2x2+5x+2)=12x2+5x+2=32x2+5x−1=0
Let’s use quadratic formula to solve this.
x=−5±52−4⋅2⋅−1−−−−−−−−−−−√2⋅2=−5±
−−−−−−−−⎷4.x=−5±52−4⋅2⋅−12⋅2=−5±33
4.
What happens if we try to plug x=
Ronnie read a total of 30 books over 15 months. If Ronnie has read 48 books so far, how many months has he been with his book club?
Answer:
24 Months
Step-by-step explanation:
First you need to know how many books Ronnie read each month. 30 ÷ 15 = 2
Now you know Ronnie reads 2 books every month for 15 months.
So just take 48 ÷ 2 = 24
You take 48 because that's the total number of books so far and you divide it by 2, because he reads 2 books every month. That gives you a total of 24 months he has been with his book club.
Find the measure of angle A for both 47 and 48
Step-by-step explanation:
47)25+35x+4x-1=180
24+39x=180
39x=180-24
39x=156
x=4
48)70+9x-5+13x+5=180
70+22x=180
22x=180-70
22x=110
x=5
Hope this helps u...
-10x-5(1-5x)
what are the steps
Step-by-step explanation:
1: Apply the distributive property. − 10 x − 5 ⋅ 1 − 5 ( − 5 x )
2: Multiply−5by1
−10x−5−5(−5x)
3: Multiply−5by−5.
−10x−5+25x
4: Add−10xand25x.
15x−5
Description:
First step is to Multiply the equation then after that you can multiply it by 5 that will lead your answer to −10x−5+25x. Then at the end add 10* and 25*. That will equal your answer as 15x−5.
Hope this helps.
Hurryyyyyy I’m giving brainliest
Solve for x.
X/5 =15
Answer:
x = 75
Step-by-step explanation:
Answer:
x = 7
Step-by-step explanation:
You have to multiply 5 to x/5 and 15
5x/5 = 15 * 5
x = 75
*The sum of 5% of one number and 4% of a second number is 44. The sum of 4% of the first number and 5% of the second number is 46. Find the numbers.
Answer:
The numbers are:
[tex]x=400,\:y=600[/tex]
Step-by-step explanation:
Let 'x' be the first number
Let 'y' be the first number
5% of x = 5/100x = 0.05x
4% of y = 4/100y = 0.04y
As the sum of 5% of one number and 4% of a second number is 44.so the equation becomes
0.05x + 0.04y = 44
Also
4% of x = 4/100x = 0.04x
5% of y = 5/100y = 0.05y
As the sum of 4% of one number and 5% of a second number is 46.so the equation becomes
0.04x + 0.05y = 46
Thus, the system of the equations becomes
0.05x + 0.04y = 44
0.04x + 0.05y = 46
solving the system of the equation
[tex]\begin{bmatrix}0.05x+0.04y=44\\ 0.04x+0.05y=46\end{bmatrix}[/tex]
isolate x for 0.05x + 0.04y = 44
[tex]0.05x + 0.04y = 44[/tex]
Multiply both sides by 100
[tex]0.05x\cdot \:100+0.04y\cdot \:100=44\cdot \:100[/tex]
[tex]5x+4y=4400[/tex]
[tex]5x=4400-4y[/tex]
Divide both sides by 5
[tex]\frac{5x}{5}=\frac{4400}{5}-\frac{4y}{5 }[/tex]
[tex]x=\frac{4400-4y}{5}[/tex]
[tex]\mathrm{Subsititute\:}x=\frac{4400-4y}{5}[/tex]
[tex]0.04\cdot \frac{4400-4y}{5}+0.05y=46[/tex]
simplify
[tex]35.2+0.018y=46[/tex]
now isolate y for [tex]35.2+0.018y=46[/tex]
[tex]35.2+0.018y=46[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}1000[/tex]
[tex]35.2\cdot \:1000+0.018y\cdot \:1000=46\cdot \:1000[/tex]
[tex]35200+18y=46000[/tex]
[tex]18y=10800[/tex]
Divide both sides by 18
[tex]\frac{18y}{18}=\frac{10800}{18}[/tex]
[tex]y=600[/tex]
[tex]\mathrm{For\:}x=\frac{4400-4y}{5}[/tex]
[tex]\mathrm{Subsititute\:}y=600[/tex]
[tex]x=\frac{4400-4\cdot \:600}{5}[/tex]
[tex]x=400[/tex]
Therefore, the numbers are:
[tex]x=400,\:y=600[/tex]
The first number be x is 400 and the second number be y is 600.
Given that,
The sum of 5% of one number and 4% of a second number is 44.
The sum of 4% of the first number and 5% of the second number is 46.
We have to find,
The numbers.
According to the question,
Let, the first number be x,
And the second number be y,
Then,
5% of x = 0.05x
4% of y = 0.04y
The sum of 5% of one number and 4% of a second number is 44 then, the equation is,
0.05x + 0.04y = 44
And As the sum of 4% of one number and 5% of a second number is 46 then, the equation becomes,
5% of y = 0.05y
4% of x = 0.04x
0.04x + 0.05y = 46
On solving both the equations multiply both the equation by 100,
[tex]5x + 4y = 4400\\\\4x + 5y = 4600[/tex]
From equation 1,
[tex]5x + 4y = 4400\\\\5x = 4400-4y\\\\x =\dfrac{ 4400-4y}{5}[/tex]
Substitute the value of x in equation 2,
[tex]4(\dfrac{4400-4y}{5}) + 5y = 4600\\\\17600-16y + 25y= 4600\times 5\\\\17600 + 9y = 23000\\\\y = \dfrac{5400}{9}\\\\y = 600[/tex]
Substitute the value of x in equation 1,
[tex]5x + 4y = 4400\\\\5x + 4(600) = 4400\\\\5x + 2400 = 4400\\\\5x = 4400-2400\\\\5x = 2000\\\\x = \dfrac{2000}{5}\\\\x = 400[/tex]
Hence, The first number be x is 400 and the second number be y is 600.
To know more about Equation click the link given below.
https://brainly.com/question/23017717
HELP QUESTION NUMBER THREE
Answer:
(-3,2) is the solution to the system of equation
Step-by-step explanation:
Here, we want to know the point that serves as a solution to the system of equation
We equate the y
-2x + 4 = -1/3x-1
Multiply through by 3
-6x + 12 = -x-3
-6x + x = -3-12
5x = 15
x = 15/5
x = 3
Substitute x into one of the y
y = -2(3) + 4
y = -6 + 4 = -2
So the solution is;
(3,-2)
Mr. Perkins saw an advertisement of a T.V.in the newspaper where it is mentioned that the T.V. is 16 inches high and 14 inches wide. Calculate the diagonal length of its screen for Mr. Prekins. You must show work to receive credit. Round your answer to the nearest tenth if possible
PLEASE HELP!!!
Answer:
21.26 or 21.3 inches.
Step-by-step explanation:
Think of this as a right triangle.
The height is 16 inches.
The width is 14 inches.
So, the diagonal is...
We need to use the Pythagorean Theorem to solve this.
a^2 + b^2 = c^2
Height^2 + Width^2 = Diagonal^2
16^2 + 14^2 = c^2
256 + 196 = c^2
c^2 = 452
So, c = Square root of c^2 = Square root of 452.
So, Square root of 452 = 21.26
So, the diagonal = 21.26 or 21.3 inches.
Jasmine works at the public library after school. She makes $7.00 per hour. She cannot work more than 15 hours per
week. If y=7x represents Jasmine's earning, what are the values in the domain?
)
A)
xS15
B)
0sxs15
1sxs15
D)
all real numbers
Answer:
the answer is mx +B plus the quradratic formula
What is 4cm times 15cm?
Answer:
0.006 m2
Step-by-step explanation:
SANA MAKATULOG
The temperature in Bloomington on Sunday was 32.6°C. On Monday, the temperature changed by -8.25°C. What was the temperature on Monday?
A.-40.85°C
B.-24.35°C
C.24.35°C
D.42.25°C
A.christy saved $3 per week more than Kevin
B. Kevin saved $10 per week more than christy
C.christy saved $18 per week more than Kevin
D. Kevin saved $20 per week more than christy
Answer:
Option (A)
Step-by-step explanation:
From the table attached,
Savings of Kevin in 2 weeks = 92 - 46 = $46
Therefore, per week savings of Kevin = [tex]\frac{46}{2}[/tex] = $23
Since, y = 26x represents the amount saved by Christy.
x = Number of weeks
y = Amount saved
For x = 1 week
Amount saved by Christy in one week = $26
Difference in amounts saved by Christy and Kevin = 26 - 23 = $3
Therefore, Christy saved $3 per week more than Kevin.
Option (A) will be the correct option.
If in 2003 a girl was 6 years of age then what year is it , now that she is 22?
I have the answer, I just need to explain how I got it. Please help!
Answer:
Table 2 is correct, you have it wrongStep-by-step explanation:
The way we determine if ratios are equivalent is by a proportion. It also helps to know that a foot is 12 inches, so you have the wrong answer. The correct answer is table 2. The way we solve is by dividing the number of inches by 12 to see if we get the number of feet specified on the table.
24/12 = 2
60/12 = 5
72/12 = 6
84/12 = 7
All of these match up to their respective foot measurements.
How to simplify 3 1/4 times 2 1/2 - 1 1/3.
Pls show your how you solved it pls, thx
[tex]3 \frac{1}{4} \times 2 \frac{1}{2} - 1 \frac{1}{3} [/tex]
[tex] \frac{13}{4} \times ( \frac{5}{2} - \frac{4}{3} )[/tex]
[tex] \frac{13}{4} \times ( \frac{15}{6} - \frac{8}{6} )[/tex]
[tex] \frac{13}{4} \times \frac{7}{6} [/tex]
[tex] \frac{91}{24} [/tex]
[tex]3 \frac{19}{24} [/tex]
Under his cell phone plan, Henry pays a flat cost of $63.50 per month and $5 per gigabyte. He wants to keep his bill at $77.50 per month. How many gigabytes of data can he use while staying within his budget?
Answer:
2
Step-by-step explanation:
77.50 - 63.50 = 14
per gigabyte $5 + 5 =10
so answer is 2
Henry can only use 2 gigabyte of data in other to stay within his budget.
To solve :
Flat fee = $63.50
Price per gigabytes = $5
Total budget = $77.50
Let the number of gigabyte = g
Expressing the problem as a mathematical expression :
Total budget = flat fee + (price per gigabyte × number of gigabytes)63.50 + 5g ≤ 77.50
Collect like terms
63.50 - 77.50 ≤ - 5g
-14 ≤ - 5g
Divide bith sides by - 5 to isolate g
-14 / - 5 ≤ g
2.8 ≤ g
Therefore, to stay within his budget he must not use beyond 2.8 gigabyte of data.
If a whole number value is required, then he can only use 2 gigabyte of data in other to stay within his budget.
Learn more : https://brainly.com/question/18796573
Bob puts a glass of water in the freezer and records the temperature every 15 minutes. The results are displayed in the table below. If this pattern continues, what will be the temperature at 2:15 PM? (can someone PLEASE help me)
1:00 PM 92 Degrees
1:15 PM 60 Degrees
1:30 PM 44 Degrees
1:45 PM 36 Degrees
the answer I got is 30
Step-by-step explanation:
92-32=60 60-16=44 36-4=32 32-2=30
Find the answer of 400% of 90
Answer:
360 I think
Step-by-step explanation:
Answer:
360
Step-by-step explanation:
(400 x 90)/100
You make a 5% commission on each house you sale. How much commission would you earn for selling a $150,000 home?
Write the equation of the line passing through the point (2,-1) with a slope of -3
Answer:
[tex]y = -3x + 5[/tex]
Step-by-step explanation:
We know we'll have to use the linear equation [tex]y=mx+b[/tex]
Since [tex]m[/tex] means gradient (or slope) we know that it's -3 since that's already indicated to us
All that we have to find now is b, and we can find this by plugging in the known values of x and y since we have the coordinate (2,-1)
We can plug these values in and solve for b
[tex]-1 = -3\cdot 2 + b\\-1 + 6 = b \\b = 5 \\[/tex]
Therefore, in order to get the equation we just have to replace b with 5
[tex]y = -3x + 5[/tex]
Good luck!
3. One gram of protein contains 7 calories and one gram of fat contains 9 calories. If a cheeseburger has a total of 500 calories and has 9 grams of protein, write an equation that can be used to find the number of grams of fat in the cheeseburger.
simplify
Q1) 3x + 5y - x + 2y
Q2) 3g + 5h + 4g - 2h
Q3) 4p + 2p - 3p
Answer:
1) 2x+7y
2) 7g+3h
3) 3p
Step-by-step explanation:
Combine like terms.
3x - (1)x = 2x, and 5y + 2y = 7y, so you could say 2x + 7y.
I hope this helps :)
Answer:
3x-x+5y+2y
Step-by-step explanation:
after putting the like terms together then add or subtract as given.
2x+7y as our final answer.
3g+4g+5h-2h
7g+7h
since our final answer is factorisable we write our final answer as 7(g+h)
4p+2p-3p
since our terms are all alike we just go directly to adding and subtracting.
3p as our answer
PLEASE IM BEGGING YOU GUYS, PLEASE HELP. I WANT TO KNOW HOW TO SOLVE THIS, PLEASEEE PLEASE EXPLAIN HOW AND GIVE THE ANSWER.. ILL MARK BRAINLIEST IF YOU EXPLAIN THE STEPS!!! (if u dont im not marking brainliest)
ive asked these questions for like 3 times straight and i keep losing points, im gonna cry if someone doesnt properly answer/ help me :'))
Answer:
Step-by-step explanation:
A = p(1+r/n)nt
A = final amount
p = principal = 2000
r = interest rate = 0.024
n = # times compounded pet year = 12
t = time in years = 7
A = 2000(1+.024/2)12(7)
A = 2000(1.012)^84
can someone please help me
Answer:
acute angles ig..............
Answer:
a. acute
Step-by-step explanation:
Acute is anything smaller than 90 degrees, which this triangle is.
Equiangular would mean that all the angles have to be the same which this triangle is not.
Obtuse triangle means one of the angles is more than 90 but less than 180, which this triangle is also not.
Right triangle means that one of the angles have to be 90 degrees, or u can say a right angle, none of the angles in this triangle is 90 degrees so no.
Tamika ran 120 meters in 21.6 seconds. Enrique ran 120 meters in 22.4
seconds. Who had the fastest time, Tamika or Enrique?
O A. Tamika
OB. Enrique
SUBMIT
Tamika ran the fastest time at 21.6 seconds in 120 meters because the faster you run the less time you have on your timer.
Please help me out with this one! I need step by step instructions (30 points!)
Answer:
WAT DO U MEAN 30 POINTS UR ONLY GIVING 5
Step-by-step explanation:
ITS LITTERALLY RIGHT NEXT TO IT
how do i solve
(-2w + 11v) - (-15w)
Answer:
=11v+13w
Step-by-step explanation:
Combine Like Terms:
=−2w+11v+15w
=(11v)+(−2w+15w)
=11v+13w
we'll need to simplify the expression by using the symbols and combations of the equation
(-2w + 11v) - (-15w)
we'll need to turn subtraction and multiplication into addition
so remove the bubbles, and add (keep the minus/negative sign
−2 (w) +11(v) +15 (w)
we'll separate the letters so w with w and v with v (or by it's self
11(v) + (−2(w)+15(w))
and this will equal the answer me and op who made the other answer correct
by subtracting 2 with 15 since it's negative so it'll equal 13w and 11v stays the same
11v + 13w
Tony wants to buy a new flatscreen TV. At Best Buy, the TV costs $700, but Tony can use a 35% off coupon that he received in the mail. Micro-Center sell the same TV for $600. Tony can use his 20% employee discount at Micro-Center. Which option would be less expensive for Tony? Show and explain how you got your answer.
