Answer:
speed of the plane = 190 mph
Step-by-step explanation:
Let x = speed of the plane, then speed of the car = x - 150
time = 200/(x - 150) = 950/x
Divide by 50 on both sides, get
4/(x - 150) = 19/x
Cross multiply:
4x = 19(x - 150)
4x = 19x - 19*150
15x = 19*150
x = 19*150/15 = 190
Lincoln High School has 84 teachers. 12 of the teachers teach math. Of the 32 females teachers, 6 teach math.
What is the probability that a teacher is a woman or teaches math? Express your answer as both a fraction and a percetage.
Probabilities are used to determine the chances of events
The probability that a teacher is a woman or teaches math is 45.24%
How to determine the probabilityThe given parameters are:
Teachers = 84
Math teachers = 12
Female teachers = 32
Female math teachers = 6
The number of female or math teachers is:
Female or math = Math + Female - Female math
So, we have:
Female or math = 12 + 32 - 6
Female or math = 38
The probability that a teacher is a woman or teaches math is:
[tex]Pr = \frac{38}{84}[/tex]
Simplify
[tex]Pr = \frac{19}{42}[/tex]
Express as percentage
[tex]Pr = 45.24\%[/tex]
Hence, the probability that a teacher is a woman or teaches math is 45.24%
Read more about probability at:
https://brainly.com/question/25870256
In planning her retirement, Liza deposits some money at 3.5% interest, with twice as much deposited at 4.5%. Find the amount deposited at each rate if the total annual interest income is $2250.
a = amount deposited at 3.5%
b = amount deposited at 4.5%
we know that "b" is twice as much as "a", thus b = 2a.
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{3.5\% of a}}{\left( \cfrac{3.5}{100} \right)a}\implies 0.035a \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{4.5\% of 2a}}{\left( \cfrac{4.5}{100} \right)2a}\implies 0.045(2a)[/tex]
we also know that whatever "a" amount is, their sum is 2250, thus
[tex]0.035a+0.045(2a) = 2250\implies 0.035a+0.09a=2250\implies 0.125a=2250 \\\\\\ a=\cfrac{2250}{0.125}\implies \boxed{a=18000}~\hspace{10em}\boxed{\stackrel{2a}{b=36000}}[/tex]
can you help me plz do it asap
What are the coordinates of point A?
On a coordinate plane, point A is 4 units to the left and 3 units down.
(–4, 3)
(3, –4)
(–3, –4)
(–4, –3)
*PLEASE HELP* *IRRELEVANT ANSWERS WILL BE REPORTED AS SPAM*
A plane left Chicago at 8:00 A.M. At 1:00 P.M., the plane landed in Los Angeles, which is 1500 miles away. What was the average speed of the plane for the trip? (include units)
Find slope:
Then find the average speed of the plane for the trip
[tex]\\ \rm\hookrightarrow Avg\: Speed=\dfrac{Total\: distance}{Time}[/tex]
[tex]\\ \rm\hookrightarrow Avg\:Speed=\dfrac{1500}{5}[/tex]
[tex]\\ \rm\hookrightarrow Avg\:Speed=500mph[/tex]
Step-by-step explanation:
150/50=50
So 50mph is average speed
Formula Used :-Speed=Distance/Time
Which algebraic expression is equivalent to the expression below?9x+12y
Answer:
69f
Step-by-step explanation:
Brent and his family spent $21 for admission to the country fair. They bought two adult passes for six dollars each and three children passes for three dollars each. How much more money did Brents family spend on adults passes then children's passes?
1. Jacobson Animal Shelter has half as many cats as dogs.
The shelter has 30 dogs. How many total animals does the
shelter have?
Answer:
45
Step-by-step explanation:
30/2=15 +30=45
Answer:
The Jacobson Animal Shelter has 45 total animals.
Step-by-step explanation:
dogs = 30
cats = 30/2
cats = 15
dogs + cats = total
30 + 15 = total
45 = total
The citizens of a city were asked to choose their favorite pet. The circle graph shows how the citizens answered. If 65,000
citizens answered the question, how many chose Dogs or Snakes?
Answer:
Dogs: 14,300 people
Snakes: 3,900 people
Fraction………………..::::::
Answer:
0.45
Step-by-step explanation:
[tex]\huge\textbf{Hey there!}[/tex]
[tex]\mathsf{\dfrac{12}{25}\times\dfrac{15}{16}}[/tex]
[tex]\mathsf{= \dfrac{12\times15}{25\times16}}[/tex]
[tex]\mathsf{= \dfrac{180}{400}}[/tex]
[tex]\mathsf{= \dfrac{180\div5}{400\div5}}[/tex]
[tex]\mathsf{= \dfrac{36}{80}}[/tex]
[tex]\mathsf{= \dfrac{36\div4}{80\div4}}[/tex]
[tex]\mathsf{= \dfrac{9}{20}}[/tex]
[tex]\huge\textbf{Therefore, your answer is: \boxed{\mathsf{\dfrac{9}{20}}}}\huge\checkmark[/tex]
[tex]\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]Please help me with this !!!
Step-by-step explanation:
sorry bro, ìdk dis answer
G.O.O.G.L.E IT....MAYBE YOU WILL FIND THE ANSWER...
PLEASE HELP ASP!!!!!!!!!!!A birch tree that is 4 ft tall grows at a rate of 1 ft per year. A larch tree that is 6 ft tall grows at a rate of 0.5 ft per year.
Let the variable t represent time in years and let the variable h represent height in feet.
In how many years will the trees be the same height?
Which system of equations can be used to solve this problem?
{h=1+4th=0.5+6t
{h=4+th=6+0.5t
{h=5th=6.5t
{h=4−th=6−0.5t
Answer:
4 Years
Step-by-step explanation:
1:0.5 = 2:1
So, every two years, the birch tree grows 1 foot more than the larch tree
Currently, they are 2 feet apart, so in 4 years, they will be the same height
Carmen is a professor at a local university. In collecting data on her Introduction to Business course for a year, she wants to calculate the z-score for a student who scores a 92 on the final exam. The mean and the standard deviation scores on the exam are 76 and 6, respectively. Calculate the z-score.
The z score of a student who scores a 92 on the final exam is 2.67.
Z scoreZ score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
z = (x - μ) / σ
where x is the raw score, μ is the mean and σ is the standard deviation
Given that σ = 6, μ = 76. For a raw score of 92:
z = (92 - 76) / 6 = 2.67
The z score of a student who scores a 92 on the final exam is 2.67.
Find out more on Z score at: https://brainly.com/question/25638875
Please answer this question thank you
Answer:
74
Step-by-step explanation:
What I'm getting at, is that you need to add all the hour sold cups up, and then double it because she expects to sell twice as much. 15 + 11 +5 +6 = 37, and 37 doubled is 74
Answer:
74 cups
Step-by-step explanation:
Total for today: 37
6 + 5 + 11 + 15 = 37
Tomorrow is twice of today
2(37) = 74
I hope this helps!
A sofa is being sold for $378 this is a 28% discount what is the original price
$378 is 72% of the original price.
72% = $378
1% = $378/72
1% = $5.25
100% = $5.25(100)
100% = $525
The original price of the sofa is $525
Hope this helps!
A mechanic charges a $30 flat rate plus $20 per hour. If he wants to earn at least $350 this week, how many hours will he need to work?
Answer:
16 hours
Step-by-step explanation:
Let the mechanic works for x hours to make a money of $350.
Fixed charges = $30
Charges per hour = $20
So, charges for x hours = $20x
Total money earned = $350
[tex] \implies \: 20x + 30 = 350 \\ \\ \implies \: 20x = 350 - 30 \\ \\ \implies \: 20x = 320 \\ \\ \implies \: x = \frac{320}{20} \\ \\ \implies \: x = 16 \: hours[/tex]
Thus, the mechanic needs to work for 16 hours to make $350.
in
What is the area of this triangle?
inz
h = 5 in.
b = 10 in.
Urgent, please reply as soon as possible! 30 points on brainly!
The above graph shows the acceleration of an object. use the information from the graph to answer the following question. During which section of the graph is there no acceleration? Explain why or why not.
Answer:
during section b
Step-by-step explanation:
the line is flat
Answer:
Yes beavause the graph goes up and then straight down
Step-by-step explanation:
can you answer my question?
Ling deposited $70 in a savings account earning 10% interest, compounded annually To the nearest cent , how much will she have in 3 years?
Answer:
$9.93
Step-by-step explanation:
sorry if it doesn't help.
A woman is 69 1/2 inches tall and her son is 66 2/9 inches tall. How much taller is the woman?
Answer:
Find The InterestRs1000 rateRs10%isRs1200
What's the answer for 6m^2+18m+17=-3m^2+9
Answer:
m=−2/3 or m=−4/3
Step-by-step explanation:
Step 1: Subtract -3m^2+9 from both sides.
6m^2+18m+17−(−3m^2+9)=−3m^2+9−(−3m^2+9)
9m^2+18m+8=0
Step 2: Factor left side of the equation.
(3m+2)(3m+4)=0
Step 3: Set factors equal to 0.
3m+2=0 or 3m+4=0
m=−2/3 or m=−4/3
please helpppppppppppp
Answer:
[tex] \frac{x - 3}{x} [/tex]
Step-by-step explanation:
[tex]f(x) = \frac{1}{x} \: \: g(x) = x - 3 \\ \\ \implies \: (f•g)(x) = \frac{1}{x} (x - 3) \\ \\ = \frac{x - 3}{x} [/tex]
Please help me I will give you brainliest!
Answer:
data set 1 - y=x*3.5 data set 2 - y=x*3
Step-by-step explanation:
=======
Hi help me please if you can
Answer:
277/8 =34.625
Step-by-step explanation:
A ball is thrown from an initial height of 3 meters with an initial upward velocity of 30 m/s. The ball's height h (in meters) after seconds is given by the
following
h = 3+302-57
Find all values of tfor which the ball's height is 13 meters.
Round your answer(s) to the nearest hundredth.
(If there is more than one answer, use the "or" button.)
1 seconds
х
5
?
Initial
height
ground
[tex]h=3+30t-5t^2\implies 13=3+30t-5t^2\implies 0=-10+30t-5t^2 \\\\\\ 5t^2-30t+10=0\implies 5(t^2-6t+2)=0\implies t^2-6t+2=0[/tex]
now, it doesn't give us nice looking integers, so let's plug that into the quadratic formula.
[tex]~~~~~~~~~~~~\textit{quadratic formula} \\\\ \stackrel{\stackrel{a}{\downarrow }}{1}t^2\stackrel{\stackrel{b}{\downarrow }}{-6}t\stackrel{\stackrel{c}{\downarrow }}{+2}=0 ~\hspace{10em} t= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ t= \cfrac{ - (-6) \pm \sqrt { (-6)^2 -4(1)(2)}}{2(1)}\implies t=\cfrac{6\pm\sqrt{36-8}}{2}[/tex]
[tex]t=\cfrac{6\pm\sqrt{28}}{2}\implies t=\cfrac{6\pm\sqrt{2^2\cdot 7}}{2}\implies t=\cfrac{6\pm 2\sqrt{7}}{2}\implies t=\cfrac{2(3\pm 1\sqrt{7})}{2} \\\\\\ t=3\pm \sqrt{7}\implies t= \begin{cases} 3+\sqrt{7}\\ 3-\sqrt{7} \end{cases}\implies t\approx \begin{cases} 5.65\\ 0.35 \end{cases}[/tex]
0.45 as fraction in simplified form
Answer:
9/2
Step-by-step explanation:
0.45 = 45/100 = 9/20.
Answer:
[tex]\frac{9}{20}[/tex]
Step-by-step explanation:
Convert to fraction:
[tex]0.45[/tex]
Convert decimal to fraction:
[tex]\frac{45}{100}[/tex]
Reduce the fraction:
[tex]\frac{9}{20}[/tex]
Evaluate the expression
cos(30°)=
Answer:
[tex]cos (30) =\sqrt{\frac{3}{2} } =0.8660[/tex]
Step-by-step explanation:
By using the cos square identity in trigonometry i.e., cos2ϴ = 1 – sin2 ϴ, we can evaluate the exact value of cos(33 ). For calculating the exact value of cos(∏/6), we have to substitute the value of sin(30°) in the same formula.
cos(30°) = √1 – sin230°
The value of sin30° is 1/2 (Trigonometric Ratios)
cos(30°) = √1 – (1/2)2
cos(30°) = √1 – (1/4)
cos(30°) = √(1 * 4 – 1)/4
cos(30°) = √(4 – 1)/4
cos(30°) = √3/4
Therefore, cos(30°) = √3/2
Step-by-step explanation:
cos 30° is √3 /2
Also refer to the image attached
MARK ME AS BRAINLISTWhat is the surface area?
4 in
4 in
4 in
square inches
Please help, thanks in advance
Answer:
D. [tex]\frac{45a^{16}c^{34}}{b^{27}}[/tex]
Step-by-step explanation:
Here you are...
Hope this helps! Brainliest would be much appreciated! Have a great day! :)
Assume that the variable U represents a positive real number
Answer:
Step-by-step explanation:
Simplify the expression.
5(10 + g) + 14g + 4
A.
19g + 54
B.
9g + 44
C.
14g + 50
D.
15g + 15
Answer:
A. 19g+54
let me know if this helps :3
Step-by-step explanation: