Since $14 is the price after a 30% discount then $14 is 70% of the original price.
$14/70=x/100 (100% would be the original price)
1400=70x or 1400/70 = $20!
You can double check the work by taking 30% off the $20 (10% would be $2, 30% would then be $6) 20-6=14!
what is the simplest form of this ratio?
100:40:20
Answer:
52
Step-by-step explanation:
Match each inequality to the correct graph.
Answer: Hope this helps
Find the value for x for which r ll s. Then find m<1 and m<2. m<1 = (60-2x)to the zero power m<2 = (71 - 3x)to the zero power. The value for x for which r || s is ?
Which expressions are equivalent to (5g+3h+4)•2?
Answer:
nc
Step-by-step explanation:
nc
We are standing on the top of a 1680 ft tall building and throw a small object upwards. At every second, we measure the distance of the object from the ground. Exactly seconds after we threw the object, it’s height, (measured in feet) is
ℎ= -16^2 + 256 + 1680
a.) Find ℎ when = 3.
b.) How much does the object travel during the two seconds between 5 seconds and 7 seconds?
c.) How long does it take for the object to reach a height of 2640 ft?
d.) How long does it take for the object to hit the ground?
Answer:
a) The height of the small object 3 seconds after being launched is 2304 feet.
b) The small object ascends 128 feet between 5 seconds and 7 seconds.
c) The object will take 6 and 10 seconds after launch to reach a height of 2640 feet.
d) The object will take 21 seconds to hit the ground.
Step-by-step explanation:
The correct formula for the height of the small object is:
[tex]h(t) = -16\cdot t^{2}+256\cdot t+1680[/tex] (1)
Where:
[tex]h[/tex] - Height above the ground, measured in feet.
[tex]t[/tex] - Time, measured in seconds.
a) The height of the small object at given time is found by evaluating the function:
[tex]h(3\,s)= -16\cdot (3\,s)^{2}+256\cdot (3\,s)+1680[/tex]
[tex]h(3\,s) = 2304\,ft[/tex]
The height of the small object 3 seconds after being launched is 2304 feet.
b) First, we evaluate the function at [tex]t = 5\,s[/tex] and [tex]t = 7\,s[/tex]:
[tex]h(5\,s)= -16\cdot (5\,s)^{2}+256\cdot (5\,s)+1680[/tex]
[tex]h(5\,s) = 2560\,s[/tex]
[tex]h(7\,s)= -16\cdot (7\,s)^{2}+256\cdot (7\,s)+1680[/tex]
[tex]h(7\,s) = 2688\,s[/tex]
We notice that the small object ascends in the given interval.
[tex]\Delta h = h(7\,s)-h(5\,s)[/tex]
[tex]\Delta h = 128\,ft[/tex]
The small object ascends 128 feet between 5 seconds and 7 seconds.
c) If we know that [tex]h = 2640\,ft[/tex], then (1) is reduced into this second-order polynomial:
[tex]-16\cdot t^{2}+256\cdot t-960=0[/tex] (2)
All roots of the resulting equation come from the Quadratic Formula:
[tex]t_{1} = 10\,s[/tex] and [tex]t_{2}= 6\,s[/tex]
The object will take 6 and 10 seconds after launch to reach a height of 2640 feet.
d) If we know that [tex]h = 0\,ft[/tex], then (1) is reduced into this second-order polynomial:
[tex]-16\cdot t^{2}+256\cdot t +1680 = 0[/tex] (3)
All roots of the resulting equation come from the Quadratic Formula:
[tex]t_{1} = 21\,s[/tex] and [tex]t_{2} = -5\,s[/tex]
Just the first root offers a solution that is physically reasonable.
The object will take 21 seconds to hit the ground.
what is the answer?
Answer:
HL
Step-by-step explanation:
The hypotenuse and the "leg" are congruent...along with the 90 degree angle.
"The HL Postulate states that if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent." - Calcworkshop
Find the value of 3w-1 given that - 2w+8= 6.
Simplify your answer as much as possible.
Answer:
-4
Step-by-step explanation:
Given 2w + 8 = 6, find w
2w = -2w = -1found w = -1, sub it into 3w - 1
3w - 1 = 3(-1) -1-3 - 1= -4Question in picture solve
Answer:
Bike 1
Step-by-step explanation:
If you look at the graph, you'll see that Bike 1 went 9 feet but Bike 2 is at about 7.5 feet in 6 seconds.
If the ratio of ducklings to mama ducks is 7 to 1 how many ducklings would there be if there were 5 mama ducks? Use a table to solve using ratios!
Help me quickly
Answer:
There would be 35 ducklings
Step-by-step explanation:
If the ratio to baby ducklings to mama ducks is 7 to 1 then the constant of proportionality is 7. So you take the amount of mama ducks and multiply that by 7 you get your answer.
7 x 5 = 35
A contestant in a game show has 9,000 points. The contestant answers the next question incorrectly and loses 750 points. Does the word "lose" suggest a positive integer or a negative integer? What integer represents a loss of 750 points?
This question is incomplete
Complete Question
A contestant in a game show has 9,000 points. The contestant answers the next question incorrectly and loses 750 points. Does the word "lose" suggest a positive integer or a negative integer? What integer represents a loss of 750 points?
a) Positive, + 750
b) Positive , - 750
c) Negative , +750
d) Negative , - 750
Answer:
d) Negative , - 750
Step-by-step explanation:
We are told in the question that the contestant has 9000 points
Then he loses 750 points.
This means that the 750 points would be deducted from the 9000 points he the contestant has already.
The word lose is a negative and it carries the Subtraction (-) sign,
hence, lose suggests a negative integer which is given as:
-750
Option d is the correct option
Jesus is looking for a new gym Fitness Connection costs $6 to join with a monthly fee of $14. Fitness World costs $10 to join with a monthly of \$12 . Which oquation and solution represent the number of months will take for both gymo to cost the same?
jesus do be gettin buff doe
WILL CHOOSE BRAINLIEST!!!!!!!!!!!!!
30 points!!!!!!!!!!
12x^2 y for x=–0.3,y= 1/6
Answer:
0.18
Step-by-step explanation:
What is the measure of <6
<6=
Answer:
20/20
Step-by-step explanation:
somebody please help me thansk
Answer:
y=-2x-1
Step-by-step explanation:
Leah and her children went into a restaurant and will buy hotdogs and tacos. She
must buy a maximum of 13 hotdogs and tacos altogether. Write an inequality that
would represent the possible values for the number of hotdogs purchased, h, and the
number of tacos purchased, t.
Answer:
The equation to solve this is: h + t is less than or equal to 13
Step-by-step explanation:
Please help me answer this question thank you !!
Answer:
c
Step-by-step explanation:
The variables x an y vary directly. When x=13, y=52. Which equation correctly relates x and y?
Answer:
The equation which correctly relates x and y is y = 4x
Step-by-step explanation:
The equation of the direct variation is y = k x, where
k is the constant of variationTo find the value of k, use the initial values of x and y∵ The variables x and y vary directly
→ Use the form of the equation above
∴ y = k x
∵ When x = 13, y = 52
→ That means the initial values of x and y are 13 and 52
∴ x = 13 and y = 52
→ Substitute them in the equation above to find k
∵ 52 = k (13)
∴ 52 = 13k
→ Divide both sides by 13
∴ 4 = k
∴ The value of k is 4
→ Substitute it in the equation
∴ y = 4x
∴ The equation which correctly relates x and y is y = 4x
pls help me with this
btw the question
asks what v(-2) means in this situation
Answer:
20
Step-by-step explanation:
find the sum of 10x^2-6 and x +6
Answer:
10x2+x
Step-by-step explanation:
Consider the absolute value inequality: |x - 6| > 20. Will the graph of the solutions to the inequality result in an "and" or an "or" inequality? Without solving to find the exact solutions, explain
Step-by-step explanation:
Case 1 : |x| > a, => x > a or x < -a
Case 2 : |x| < a, => -a < x < a
Since this question follows Case 1, we will have an "or" inequality.
There are 85 girls and 70 boys in the sixth grade. Of these students, 14
girls and 8 boys take piano lessons. What percentage of the sixth
graders at this school take piano lessons?
Answer:
14.2%
Step-by-step explanation:
85+70= 155
155=100%
22=?
22×100%÷155
= 14.1935
hence answer is 14.2%
In the diagram above, mZABC = (3x-1), mZCBD = (2x)°, and mZDBE = (4x + 1)º. Find mZABC, mZCBD, and
mZDBE. Assume that ZABE is a straight angle.
A. ZABC = 290, mZCBD = 20°, and mZDBE = 1319
B. ZABC = 59°, mZCBD = 20°, and mZDBE = 101°
C. m ABC = 59, mZCBD = 40°, and MZDBE = 81°
Dm ABC = 61º, mZCBD = 390, and mDBE = 80°
Step-by-step explanation:
3x -1 +2x + 4 x +1 = 180
9x = 180
X= 20
<ABC = 59
< CB D = 40
< DBE = 81
2x + 22 = 4(x + 3)
Please help me
Answer: x=5
Step-by-step explanation:
2x+22=4(x+3)
First distribute
2x+22=4x+12
Now intractable 2x from both sides
22=2x+12
Now subtract 12 from both sides
10=2x
Now divide by 2 to get x alone
5=x
So
x=5
Answer:
The answer is x = 5, see comments for explanation.
Sally put dots on a place value chart to show a number. She had a total of 10 dots. She put 3 in the tens place, 5 in the hundreds place, and 2 in the thousands place. Which of these is Sally’s number?
A.
253
B.
2503
C.
2530
D.
25,300
The function y - 3 = 4(x + 2) is in point-slope form. Select the equivalent equation in slope-intercept form
y = 112 +4
y = 4.3 +11
y = 4x + 5
y = 4x + 8
the radius of the base of a right cylinder is 12 cm and the height and the height of the cylinder is 18 cm. in terms of pi what is the volume of the cylinder.
Answer:
Step-by-step explanation:r=12cm,h=18cm,v=?
Vol. Of a cylinder=Πr²h
V= Π×12²×18
V= Π×144×18
V=2592Πcm³
Which relation is a function? Group of answer choices (2, 7), (6, 5), (4, 4), (3, 3), (2, 1) (9, −3), (9, 3), (4, −2), (4, 2), (0, 0) (1, 0), (3, 0), (1, 1), (3, 1) (1, 3) (1, 1), (2, 2), (3, 3), (4, 4), (5, 8)
Given:
The relations in the options.
To find:
The relation which is a function.
Solution:
Consider the options are :
(a) {(2, 7), (6, 5), (4, 4), (3, 3), (2, 1)}
(b) {(9, −3), (9, 3), (4, −2), (4, 2), (0, 0)}
(c) {(1, 0), (3, 0), (1, 1), (3, 1) (1, 3)}
(d) {(1, 1), (2, 2), (3, 3), (4, 4), (5, 8)}
A relation is a function if there exist a unique y-value for each x-value.
In option (a), y=7 and y=1 at x=2. So, it is not a function.
In option (b), y=-3 and y=3 at x=9. So, it is not a function.
In option (c), y=0 and y=1 at x=3. So, it is not a function.
In option (d), there are unique y-value for each x-value. So, it is a function.
Therefore, the correct option is (d).
(x + 3)(x^2 - 5x + 7)
write in standard form once you find answer.
It cost $20 plus $1.50 per hour to rent a golf cart. Write an equation showing the relationship between the cost of renting a cart (y) and the number of hours it was rented (x).
Answer:
y=20+1.5x
Step-by-step explanation:
The cost of renting a golf cart is equal to $20 plus $1.50 per hour.
let y=the cost of renting a golf cart
let x=the # of hours
y=20+1.5x
Answer the link at the bottom plz
Answer:
2/3
Step-by-step explanation:
24students - 8 boys = 16 girls
16/24
2/3
Answer:
[tex]\frac{16}{24}=\frac{2}{3}[/tex]
also
[tex]\frac{8}{24} =\frac{1}{3}[/tex]
Step-by-step explanation: