Answer:
12.5% decrease
Step-by-step explanation:
decrease = [(old - new) ÷ old] 100
d = [(24 - 21) ÷ 24]100
d = [3 ÷ 24]100
d = [0.125]100
d = 12.5%
The answer is 12.5 _ _ _ _
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A park charges $14 for one round of miniature golf and a reduced fee for each additional
round played. If Tom paid $59 for 6 rounds of miniature golf, what is the reduced fee for
each additional round played?
Answer:
$9
Step-by-step explanation:
Help me find x but in only simplified radical form
Answer:
x = [tex]\sqrt{15}[/tex]
Step-by-step explanation:
Since 2 sides are equal then triangle is isosceles and the segment from the vertex is a perpendicular bisector.
Th triangle is divided into 2 right triangles with legs x and 7 and hypotenuse 8
Using Pythagoras' identity, then
x² + 7² = 8²
x² + 49 = 64 ( subtract 49 from both sides )
x² = 15 ( take square root of both sides )
x = [tex]\sqrt{15}[/tex]
Determine the unit rate of a marathon runner who travels 9/2 miles in 3/4 hour.
Answer:
The marathon runner runs 1 mile every 10 minutes.
Step-by-step explanation:
9/2 miles is equal to 4.5 miles. 3/4 hours is equal to 45 minutes.
Solve the following inequality using the algebraic approach )pictire provided)
Answer:
x <4
Step-by-step explanation:
hope it helps
for any question comment me ❤❤
Please help! Find the missing measurement. Problem is below!
Answer:
7 cm
Step-by-step explanation:
Pls mark me as brainliest if its correct and learn wrll
Need help finding the missing side of each triangle?
Which pair of lines are perpendicular?
y = -4x + 1 and 8x + 2y = -10
x = 4 and y = -1
y = -8 and y = 2
x - y = 7 and y = x + 3
Answer: A
Step-by-step explanation:
Ava and her three friends went out for lunch. Their total bill was $96. If each person paid the same amount, how much would each person pay?
$______
Answer:
$24
Step-by-step explanation:
Ava + her 3 friends = 4 people total.
The bill was $96
To split this evenly among 4 people we can divide the bill by 4.
96/4 = 24
Therefore each person would pay $24.
Hope this helps! :)
11) Ms. Ripa's family is planning to come visiting her from New York. She hopes to take
them to some of the National Parks in Utah while they are here, but she needs to save up to
buy their tickets. Adult tickets are $12 each, and child tickets are $7 each. If she has 5 adults
and 4 children coming to visit, how much money will she need to save up to buy all of their
tickets?
Find the length of the missing side of the right triangle.
Since this is a right triangle, we can use the Pythagorean theorem to find the hypotenuse of length 'c'.
[tex](length-of-leg1)^2+(length-of-leg2)^2=(length-of-hypotenuse)^2\\15^2+36^2 =c^2\\c = \sqrt{15^2+36^2} \\c= 39[/tex]
Thus c equals 39.
Hope that helped!
prove that 1-tan^2x/1+tan^2x=2cos^2x-1
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identities
tan x = [tex]\frac{sinx}{cosx}[/tex] , sin²x + cos²x = 1
Consider the left side
[tex]\frac{1-tan^2x}{1+tan^2x}[/tex]
= [tex]\frac{1-\frac{sin^2x}{cos^2x} }{1+\frac{sin^2x}{cos^2x} }[/tex] ← multiply numerator/ denominator of the whole fraction by cos²x
= [tex]\frac{cos^2x-sin^2x}{cos^2x+sin^2x}[/tex]
= [tex]\frac{cos^2x-sin^2x}{1}[/tex]
= cos²x - sin²x
= cos²x - (1 - cos²x)
= cos²x - 1 + cos²x
= 2cos²x - 1
= right side , thus proven
[tex]\frac{1 - \tan^2(x)}{1 + \tan^2(x)}\\= \frac{\frac{\cos^2(x)}{\cos^2(x)} - \frac{\sin^2(x)}{\cos^2(x)}}{\frac{\cos^2(x)}{\cos^2(x)} + \frac{\sin^2(x)}{\cos^2(x)}}\\= \frac{\frac{\cos^2(x) - \sin^2(x)}{\cos^2(x)}}{\frac{\cos^2(x) + \sin^2(x)}{\cos^2(x)}}\\= \frac{\cos^2(x) - \sin^2(x)}{\cos^2(x)} \cdot \frac{\cos^2(x)}{\cos^2(x) + \sin^2(x)}\\= \frac{(\cos^2(x) - \sin^2(x)) \cdot \cos^2(x)}{\cos^2(x) \cdot (\cos^2(x) + \sin^2(x))}\\= \frac{\cos^2(x) - \sin^2(x)}{\cos^2(x) + \sin^2(x)}[/tex]
[tex]= \cos^2(x) - \sin^2(x)\\= \cos^2(x) - (1 - \cos^2(x))\\= \cos^2(x) - 1 + \cos^2(x)\\= 2\cos^2(x) - 1[/tex]
it is 3,896 miles round trip to craig´s aunt house.If he travels to her house 8 times this year how many miles did he travel in all?
Answer:
31,168 miles
Step-by-step explanation:
3,896 x 8 = 31,168
Convert 14x + 6y = 36 to Y intercept form.
Answer:
0,6
Step-by-step explanation:
Answer: Y= -7/3x + 6
Find the equation of the straight line passing through the point (0, 5) which is perpendicular to the line y=1/6x+2
Hey there!
Perpendicular lines have slopes that are opposite reciprocals. This means we take a number, flop it over, and change its sign.
In this case, the slope is 1/6.
First, flop it over:
6/1 (or just 6)
Then, change its sign:
-6
Now, the line passes through the point (0, 5)
The reason 5 is highlighted is because it's the y-intercept of 5.
So we have the Slope & the Intercept.
See what I mean? Yeah! We can write the line's equation in Slope-Intercept Form (y=mx+b)
In this formula, m stands for the slope, and b stands for the y-intercept.
In this case, -6 is the slope, and 5 is the y-intercept.
Hence, the equation is
[tex]\boxed{\boxed{\bold{y=-6x+5}}}[/tex]
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning
#NeverGiveUp
[tex]\text{An amiable teenager }[/tex]
How do I put things in standard notation? Please explain :(
Answer:
[tex]in standard notation \: 9 { \times 10}^{ - 4} = 0.0009[/tex]
1750 litres of petrol is required to fill the tanks of 50 cars. If 1960 litres of petrol is available, how many more cars can be filled?
1750 litres.............50 cars
1960 litres.............n cars
so n x 1750 = 1960 x 50
n = 98000 : 1750
n = 56
56 cars tanks will be filled
Answer:
56
Step-by-step explanation:
1750 divided by 50 to find out how much litres each car gets. =35
so 35 litres per car so divide 1960 by 35. =56
56 cars can be filled
CHECK ANSWER.
the six extra cars so 35 multiplied by 6. =210
1750+210=1960!
In a particular right triangle, the two legs have lengths of 40 inches and 42 inches. What is the area of the triangle?
Answer:
i don't know I don't have ideas about it
Orlando has a loan with an effective interest rate of 7.918%, compounded annually. which of the following must be true? i. in the effective rate formula, n is equal to one. ii. the nominal rate is 7.918%. iii. the federal funds rate is static. a. i and ii b. ii only c. iii only d. i, ii, and iii
The right answer will be both I and II
I. In the effective rate formula, n is equal to one.
II.The nominal rate is 7.918%.
What is compound interest?Compound interest is the interest on a loan or deposit that accrues on both the initial principal and the accumulated interest from previous periods.
The formula for the compound interest is given as:
[tex]A=p(1+\dfrac{r}{n})^{nt}[/tex]
Here
A= amonut
P= principle
r=rate of interest
t=time period
n=for how much time compunded
Thus we can see in the question it is compounded annually so n = 1 and the rate is given as 7.918%
Thus the right answer will be both I and II
I. In the effective rate formula, n is equal to one.
II.The nominal rate is 7.918%.
To know more about compound interest follow
https://brainly.com/question/24924853
Slove for n n - 18 = 14
Answer:
N=32
Step-by-step explanation:
Answer: 32
Step-by-step explanation:
32-18=14
If DF bisects CDE, solve for x.
Answer:
Step-by-step explanation:
Solve for CF
CF = CE - FE
CF = 34 - 18 = 16
Bisectors Cut the base line they are connect to in a proportion.
40/CF = x/18
40/16 = x/18 Cross Multiply
16x = 40 * 18 Combine the right
16x = 720 Divide by 16 on both sides
16x/16 = 720/16
x = 45
A bird flew from a point on the ground directly to the edge of the roof of a building. The
height of the building is 70 feet, and the angle of elevation the bird's flight path made with the
ground is 30°. What is the total distance the bird flew in feet?
The total distance the bird flew in feet is 140 feet
Angle of elevation and depressionGiven the following parameters
The angle of elevation = 30 degrees
Height = 70 feet
Requiredtotal distance the bird flew in feet (D)
Using the SOH CAH TOA identity
sin 30 = 70/D
D = 70/sin30
D = 140eet
Hence the total distance the bird flew in feet is 140 feet
Learn more on SOH CAH TOA here: https://brainly.com/question/20734777
Mike is in college and it's time to pay textbook fees! If Mike doing work study for $5 per hour, and works 2 hours per week, how long will it take Mike to pay off $84 in fees? Mike is in college and it's time to pay textbook fees! If Mike doing work study for $5 per hour, and works 2 hours per week, how long will it take Mike to pay off $84 in fees? Mike is in college and it's time to pay textbook fees! If Mike doing work study for $5 per hour, and works 2 hours per week, how long will it take Mike to pay off $84 in fees?
Answer:
8.4weeksStep-by-step explanation:
The question in details "Mike is in college and it's time to pay textbook fees! If Mike doing work study for $5 per hour, and works 2 hours per week, how long will it take Mike to pay off $84 in fees?"
given that Mike is paid $5 per hour
and that he only works 2 hours per week
that means in a week he earns= 5*2= $10
Also, given that mike has a fee of $84 to pay
it would take him 84/10= 8.4weeks
it would take him 8.4weeks to pay the money
Multiply the following polynomials, and write your solution in standard form:
(3x – 1) (2.08 + 4x2 – 5) =
Answer:
8x^2-8.76x+2.92
Step-by-step explanation:
Factor using FOIL and then simplify
What is the ZERO for the graph?
Answer:
that is the orgin which means the middle.
Step-by-step explanation:
Tim made 10 baskets during a basketball game. Each basket was worth either 2 or 3 points. How many different numbers could represent the total points scored by Jordan?
The total point is an illustration of arrangements
There are 6 different numbers that could the total points scored by Jordan
How to determine the number of total points?The different number (n) that can represent the total point is calculated as:
n = 2 points + 3 points + 1
Remove the units
n = 2 + 3 + 1
Evaluate the sum
n = 6
Hence, there are 6 different numbers that could the total points scored by Jordan?
Read more about arrangements at:
https://brainly.com/question/6032811
13+2(5x-6)=5(x-1)+2x
Answer:
x=-3
Step-by-step explanation:
hoping that it will help you
30 points! This table shows how long it took five students to complete their science projects.
Which measure(s) of central tendency represents the average time it took each student to complete a project?
A. the mean
B. the median
C. the mode
D. the mean and the median
Answer:
the mean
Step-by-step explanation:
mean is calculated average
Answer:
A: the mean
Step-by-step explanation:
Sorry for this very late response, but if anyone wasn't sure if answer A is correct, it is. I can confirm this because I just took the test, I hope I could help! (:
Number line, and point Y partitions line XZ into two parts so that the ratio of the length of line segment XY to the length of line segment YZ is 1:4. The coordinate of X is 1.3, and the coordinate of Y is 3.8. What is the coordinate of Z? Show all work
Answer:
13.8
Step-by-step explanation:
If Points X and Z are on a number line and point Y partition line XZ into two parts where XY: YZ = 1:4, this can be expressed as;
XY/YZ = 1/4
cross multiply;
YZ = 4XY
Also, if the coordinate of X is 1.3, and the coordinate of Y is 3.8, then the distance XY will be expressed as XY = 3.8 - 1.3
XY = 2.5
YZ = 4(2.5)
YZ = 10
Since Y is at 3.8 and YZ is 10, then coordinate Z will be YZ + Y
coordinate of Z = 10+3.8
coordinate of Z = 13.8
Is 8397 divisible by 9 ? Explain your answer
Answer:
Yes
Step-by-step explanation:
9 can go into 8397 evenly without any remainders.
Answer:
8397/9= 933
8397 is divisible by 9 if you divide 8397 by 9 and the quotient is an integer. The easiest way to determine if 8397 is divisible by 9 is to calculate the sum of the digits in 8397. If the sum of the digits is divisible by 9, then 8397 is divisible by 9.
8+3+9+7= 27
27 is divisible by 9
Step-by-step explanation:
Find the value of x: 4/5 (x+7) =20
(4/5 is a fraction not a division)
Answer: 18
Step-by-step explanation: