let x=cost/lb of walnuts
let y=cost/lb of chocolate chips
..
3x+5y=16
6x+2y=22
6x+10y=32 (mult. eq by 2)
6x+2y=22
subtract:
8y=10
y=10/8=1.25
x=16-5y=9.75
cost/lb of walnuts=$1.25
cost/lb of chocolate chips=$9.75
A pebble falls off of a cliff at a height of
2,304 ft. If the equation for height as a
function of time is
h(t) = -16t2 + initial height where t is time
in seconds and h(t) is height in feet, how
many seconds will it take for the pebble
to hit the ground?
Answer:12
Step-by-step explanation: just did the assignment
The pebble will hit the ground after 12 seconds when the equation for height as a function of time is h(t) = -16t2 + initial height .
To find the time it takes for the pebble to hit the ground, we need to set the height function h(t) equal to zero and solve for t.
h(t) = -16t² + initial height
initial height = 2,304 ft
Setting h(t) to zero:
0 = -16t² + 2,304
Now, we can solve this quadratic equation for t.
-16t² + 2,304 = 0
Dividing both sides by -16:
t² - 144 = 0
Adding 144 to both sides:
t² = 144
Taking the square root of both sides:
t = ±12
Since time cannot be negative in this context, we discard the negative solution.
Therefore, the pebble will hit the ground after 12 seconds.
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Find the measure of angle B:
Answer:
107
Step-by-step explanation:
Nisha is looking out the window of her apartment building at a sculpture in a park across the street. The top of Nisha's window is 90 feet from the ground. The angle of depression from the top of Nisha's window to the bottom of the sculpture is 22°. How far away from the building is the sculpture? Round your answer to the nearest hundredth. 36.36 feet
83.45 feet
128.67 feet
222.76 feet
Distance between building and sculpture is 222.76 feet.
What are trigonometric applications?Some of the practical applications of trigonometry are used in architecture while calculating the slope of roofs to build a home to drain rainwater or snow. Another practical application is measuring the height of different objects such as a mountain or a tree or a tower.
Given
Height of window P = 90 feet
Angle of depression = 22°
Distance between building and sculpture(B) :
Using trigonometry application
[tex]Tan (22^{0})==\frac{P}{B}[/tex]
[tex]0.4040=\frac{90}{B}[/tex]
B = 222.772
Rounding to the nearest hundredth
B = 222.76 (Approximately)
Distance between building and sculpture is 222.76 feet.
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Answer:
222.76
Step-by-step explanation:
i took the test and got it right dw
your welcome
please give me an answer !
Answer:
C
Step-by-step explanation:
-3x+15=18
-3(-1)+15=18
3+15=18
Answer:
Correct answer is C
Step-by-step explanation:
-3 (-1) +15= 18
3+15=18
por que razón los números fraccionarios y decimales no tienen un sucesor y un antecesor
Answer:
ummmm what did he sayyyyyyyyy
Step-by-step explanation:
the two shorter sides called legs for the right angle , true or false?
Answer:
True
Step-by-step explanation:
hi there!! i think your answer for this question is:
true!!
hope this is right and it helps! good luck! <3
What type of solutions to quadratic equations can be solved by factoring and using the zero product property?
Answer:
The Zero Product Property states that if ab = 0, then either a = 0 or b = 0, or both a and b are 0. When the product of factors equals zero, one or more of the factors must also equal zero. Once the polynomial is factored, set each factor equal to zero and solve them separately.
Step-by-step explanation:
hope this helps
Kelsey has 10 yards of ribbon. Each bow requires 3/8 yards of ribbon. How many bows can she make?
Answer:
she can make 26 bows
Step-by-step explanation:
Monica paid sales tax of $1.60 when she bought a new bike helmet. If the sales tax rate was 8%, how much did the store charge for the bike helmet before tax?
Keith has landscaping bricks that are 0.75 feet long.
Part A
Keith puts 19 bricks end-to-end along a sidewalk. What is the total length of all the bricks he uses?
Enter your answer in the box.
feet
Part B
Choose all of the methods Keith could use to solve the problem in Part A.
A.
Add 19 seventy-five times.
B.
Multiply 0.75 × 19.
C.
Add 0.75 nineteen times.
D.
Multiply 75 × 0.1 × 19.
E.
Add 75 nineteen times and multiply by 0.001.
4th grade levl talking pls
Answer:
C
Step-by-step explanation:
Answer:
C&D
Step-by-step explanation:
Solve by factoring and the square root method, SHOW ALL WORK.
Answer:
Not sure
Step-by-step explanation:
What is 10/5 as a percentage
Answer:
200%
Step-by-step explanation:
step
which graph represents the funtion f(x)=3x-2/x-2
Answer:
Step-by-step explanation:
Given function is,
f(x) = [tex]\frac{3x-2}{x-2}[/tex]
Vertical asymptote of the function,
x = 2
Horizontal asymptote of the function,
y = 3
No oblique asymptotes.
Therefore, graph having vertical and horizontal asymptotes as x = 2 and y = 3 will be the correct graph as attached.
There were some people on a train. 17 people get off the train at the first stop and 22 people get on the train. Now there are 66 people on the train. How many people were on the train to begin with?
Amount of sugar in a sugar bowl is 0.75 cups
Evaluate -41-41.=
-8
08
16
-16
Answer:
are you sure those are all the options because it is -82
Step-by-step explanation:
I need help ASAP!!! Please explain
Answer:
the answer is 9.4
Step-by-step explanation:
9 4/10= 9+1/10
we know that 4/10 is the same as 4÷10.
therefor:
9 4/10=9+(4÷10)
then using long division for 4 divided by 10 we have:
=9+0.4=9.4
como convertir 0.8 horas asegundo
1 hora es igual a 3600 segundos
Step-by-step explanation:
solo es multiplicar 0.8 x 3600= 2880
Answer:
2880 secons w
Step-by-step explanation:
multiply the time value by 3600
given f(x)=3x^2-9x+k, and the remainder when f(x) is divided by x+1 is 14, then what is the value of k?
Answer:
8
Step-by-step explanation:
compare the divisor x+1 with x-a which will get you -1 and then use remainder theorem
you don't have to solve this! I just want to see you guys as answers. This is for fun so if you're trying to help me I don't need any help!
Answer:
1/3
Step-by-step explanation:
i honestly dont know im just tryna get points lol
A man chooses a card at random from a pack of playing cards. What is the probability that the card is a diamond? Please simplify the answer to its lowest terms.
Answer: The odds of drawing a King or a heart are P(E)/P(E') = (4/13)/(9/13) = 4/9. What is the probability of getting at least one black card in a 7-card hand off a shuffled 52-card deck
Step-by-step explanation:
Find the slope that passes through (4, 1) and (8, 4).
Answer:
3/4
Step-by-step explanation:
(4 , 1) ; ( 8 , 4)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]\frac{4-1}{8-4}\\\\=\frac{3}{4}[/tex]
I need help! I can't figure out how to do this! So, can you help me?
Answer:
5 - x=90°
6- angle c= 75°
7- angle a = 90°
Answer:
c = 75
Step-by-step explanation:
All triangles add up to 180. Add the two angles which you have, and then subtract that from 180. that will be your third angle value.
geometry pls help thank u
Answer:
x=61.5536707435
Step-by-step explanation:
Use tan:
tanθ=opposite/adjacent
tan72=x/20
x=3.07768353718*20
x=61.5536707435
What is the probability of randomly selecting an odd number from the numbers 1 - 15?
Answer:
7/15 Hope it helps
Step-by-step explanation:
I NEED HELP
Ann receives a 4% commission on her sales. Her last paycheck included $196 in commissions. Solve the formula C = 0.04s for s, where C is the amount of commission and s is the amount of sales. Then substitute to find her sales.
A.
$195.96
B.
$196.04
C.
$7.84
D.
$4,900
Answer:
D-$4,900
Step-by-step explanation:
Answer:
The answer is D. $4,900
Step-by-step explanation:
$196 in commissions => a = 196
s = a / 0.04 = 196 / 0.04 = $4900 = Ann's sales
so the answer for Ann's sales is $4,900
Need help on this mathematical equation I have been assigned by my college teacher
Answer: E.
Step-by-step explanation:
Answer:
well i just want free point soooo
Step-by-step explanation:
A function is given below. f ( x ) = 3 x 2 − 5 x What is the value of f ( − 4 ) ?
Answer:
[tex]f(-4)=68[/tex]
Step-by-step explanation:
We are given the function:
[tex]f(x) = 3x^2 - 5 x[/tex]
And we want to find f(-4).
So, we will substitute every x for -4. This yields:
[tex]f(-4)=3(-4)^2-5(-4)[/tex]
Evaluate:
[tex]f(-4)=3(16)-(-20)=48+20=68[/tex]
So, f(-4) = 68.
Answer:
26
Step-by-step explanation:
(3*2) + (-5*-4)
6 + 20 = 26
What is the vertex of f(x) = 3|x|
Answer:
[tex]3 \times |x| = 0 \\ 3 \times |x| \div 3 = 0 \div 3 \\ |x | = 0 \\ x = 0[/tex]
Adrian has 34.5 feet of rope adrain uses 10.72 feet to make a swing how much rope left to left over after making the swing
Answer:
23.78
Step-by-step explanation:
34.50-10.72=23.78