Answer:
Gabrielle drove to the soccer game at the speed of 18 miles/hour
Step-by-step explanation:
Given: Distance covered = 72 miles
On the way back, she had to drive 18 miles per hour slower due to road construction which made the trip take 9 hours longer.
To find: speed
Solution:
Let speed be x miles/hour
Time taken = distance covered/time taken = [tex]\frac{72}{x}[/tex] hours
On the way back, she had to drive 18 miles per hour slower due to road construction
So, new speed = ( x - 18 ) miles/hour
Time taken as per new speed = [tex]\frac{72}{x-18}[/tex] hours
According to question,
[tex]\frac{72}{x-18}-\frac{72}{x}=9\\\frac{1}{x-18}-\frac{1}{x}=\frac{9}{72}\\\frac{x-x+18}{x(x-18)}=\frac{1}{8}\\x^2-18x-144=0\\x^2-24x+6x-144=0\\x(x-18)+6(x-18)=0\\(x-18)(x+6)=0\\x=18\,,\,-6[/tex]
Being a speed, x can not be negative. So, [tex]x=-6[/tex] is rejected
So,
Gabrielle drove to the soccer game at the speed of 18 miles/hour
A movie complex with 3 theaters has a total capacity of 800 seats. There are 270 seats in Theater 1. There are 150 more seats in Theater 2 than in Theater 3. How many seats are in Theater 2?
Answer:
340
Step-by-step explanation:
No. of seats in theater 1 = 270
Let the no. of seats in theater 3 be x
given that
There are 150 more seats in Theater 2 than in Theater 3.
no. of rooms in theater 2 = no. of rooms in theater 3 + 150
x + 150
Total numbers of seats in all the theater = 270+ x + x+150 = 2x + 420
It is also given that total capacity is 800 seat
thus
Total numbers of seats in all the theater = 800
2x+420 = 800
=> 2x = 800 - 420 = 380
=> x = 380/2 = 190
Thus, no of rooms in theater 3 is 190.
No. of rooms in theater 2 is x + 150 = 190 + 150 = 340 ---> Answer
The arithmetic mean if ui = xi - 25 / 10 sigma fiui = 20 and sigma fi = 100 is
Answer:
27Step-by-step explanation:
Given the formula ui = xi - 25 / 10
Note that the general formula for calculating ui = xi-A/n where;
A = assumed mean
n = class size
On comparison with the given equation, A = 25 and h = 10
Also arithmetic mean x = A + {h * sigma(fiui) /sigma(fi)} where;
sigma(fiui) = 20 and sigma fi = 100
Substituting the given value to get the mean x;
x = 25+ (10*20/100)
x = 25 + (200/100)
x = 25 + 2
x = 27
The arithmetic mean is 27
The cost of renting a community center is $100, with an additional cost of $10 per guest.
Which graph has the most appropriate scales and units for this situation?
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
The number of guests is the independent variable and should be between 1 and 50. We can use a scale of 10's
The cost is the dependent variable and the minimum cost is 100 and should rise from there
The scale would be from 100 's
I hate math bro please help me ill mark u brainliest
13. What is the circumference of a circle with a diameter of 6 cm. Leave your answer in terms of tt.
O 6 cm
O 247 cm
O 12 cm
O 9 cm
Answer:
C = 6pi cm
Step-by-step explanation:
The circumference of a circle is given by
C = pi *d
C = 6pi cm
Jenny sells 49.5 ounces of lemonade for a total of $39.60.
Find the unit price in dollars per ounce.
If necessary, round your answer to the nearest cent.
Answer:
0.8
Step-by-step explanation:
Divide the total price by how many ounces of lemonade to find the unit price.
The unit price in dollars per ounce will be;
⇒ 0.8 dollar per ounce.
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Jenny sells 49.5 ounces of lemonade for a total of $39.60.
Now,
Since, Jenny sells 49.5 ounces of lemonade for a total of $39.60.
Hence, The unit price = 39.60 / 49.5 dollars per ounce.
= 0.8 dollar per ounce.
Thus, The unit price in dollars per ounce will be;
⇒ 0.8 dollar per ounce.
Learn more about the divide visit:
https://brainly.com/question/29332450
#SPJ2
The slope of line p is _, and the slope of line Q is _.
Answer:
From the graph, the slope of line p is 3 and the slope of line q is -3.
what’s the answers ?
B and D
Step-by-step explanation:
I'm pretty sure its B because an acute angel measure less than 90°
Cosine 73 degrees, round to the nearest ten thousandth.
Answer:
0.2924
Step-by-step explanation:
Use a calculator.
cos 73 deg = 0.2924
Write the equation of a line that is parallel to 3x-2y=5 and passing through the point (-1,3)
Answer:
y = 3/2 x + 9/2
Step-by-step explanation:
3x - 2y = 5
3x - 5 = 2y
3/2 x - 5/2 = y
y = 3/2 x - 5/2, slope of this line m = 3/2.
For parallel line slope is the same.
y = mx + b
y = 3/2 x + b
Using point (-1,3) , we can find b.
3 = (3/2)*(-1) + b
3 = -3/2 + b
b = 3 + 3/2 = 6/2 + 3/2 = 9/2
y = 3/2 x + 9/2
Thirteen out of 20 emails in your inbox are junk emails. What is the experimental probability that your next email is junk? Give your answer as a fraction, decimal and percent (in this order).
Fraction =
Decimal =
Percent = %
Answer:
Fraction = 13/20
Decimal = 0.65
Percent = 65%
Step-by-step explanation:
Given:
13 out of 20 emails in mail inbox are junk emails
Solve for:
The experimental probability that next email is junk
Solution:
Step 1: Define the formula for calculating the probability
P = number of elements/total number of elements
Step 2: Perform the calculation
The number of elements (junk emails) = 13
The total number of elements (all emails) = 20
=> P(obtain odd number in experiment) in fraction form = 13/20
=> P(obtain odd number in experiment) in decimal from = 0.65
=> P(obtain odd number in experiment) in percent form = 0.65 x 100 = 65%
Hope this helps!
:)
PLEASEEEEEEEEE HELPPPPPPPPPP 70-100 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!! I NEED ONE MORE ANSWER BC I WANNA SEE WHICH ANSWER IS THE GREATEST THAT I SAW BEFORE THIS ONE SO JUST ANSWER IT TRY TO DO A SWIMMING RELATED ONE YA THX
Instructions:
Think of an activity that you enjoy or are interested in. Some examples are reading, swimming, or leveling up your gaming character. Use your activity to work through the following problems:
Create a scenario that leads to an inequality of the form ax + b > c. You can use any of the inequality symbols (>, ≥, <, ≤) in your inequality. For this step, just write the word problem.
Write the inequality and show all work to solve the inequality.
Graph the solution to your inequality-ON A NUMBER LINE
Explain what your solution means in the context of the problem.
Answer and Explanation:
Gina wanted to swim at the pool. She is allowed to spend at most $30. The cost to swim in the pool is 3 dollars per hour plus a flat fee of $3. How many hours can Gina swim without going over her spending limit?
This problem can be represented by [tex]3x+3\leq 30[/tex].
'x' would be the number of hours. "At most" means less than or equal to. So, the value of x would have to be less than or equal to 30.
[tex]3x+3\leq 30-3\\\\3x\leq 27\\\\3x/3\leq 27/3\\\\\boxed{x\leq9}[/tex]
So, Gina would have a maximum of 9 hours to swim in the pool.
Hope this helps.
Please help!! Will give brainliest!
Solve for z show work
Answer:
18 1/2
Step-by-step explanation:
1/2z = 9 1/4
1/2z = 37/4
z = 74/4 (Multiplied on both sides by 2 to get of the 1/2)
z = 18 1/2
Could someone help me
out with this question?
find the measure of angle 3
please help !!
Answer:
∠3 = 140°
Step-by-step explanation:
∠4 = 40°
∠4 = ∠1 (vertical angles)
∠1 = ∠2 (alternate angles)
∠2 = 40°
So,
∠2+∠3 = 180 [Angles on a straight line add up to 180°]
40 + ∠3 = 180
∠3 = 180-40
∠3 = 140°
Answer:
Angle 3 = 140°
Step-by-step explanation:
Angle 4 is equal to 40° and on a flat surface of 180°, that is, the first horizontal line, angle A is equal to 140° because 180° - 40° = 140°. Angle A is congruent to angle 3, therefore, angle 3 is also 140°.
Tony wants to put $318,000 in his retirement savings account. It earns an interest rate of 7.1% compounded quarterly. He wants to determine how much he will have in the account after 5 years, even if he makes no additional contributions or withdrawals to the account
A. $448099.52
B. $347242.34
C. $452115.44
D. $341186.28
which answer correct
Answer:
C. $452115.44
Step-by-step explanation:
To solve this, we will follow the steps below;
first write down the formula for compound interest
A= P [ 1 + [tex]\frac{r}{n}[/tex]]^nt
where A is the ending amount
P represent the principal
r represent the interest rate
n represent the number of compounding a year
t represent the time {in years)
from he question above
p= $318 000
r = 0.071
n = 4 since is quarterly
t= 5
we can now proceed to insert the values into the formula
A= P [ 1 + [tex]\frac{r}{n}[/tex]]^nt
=318 000 [1+[tex]\frac{0.071}{4}[/tex]] ^4(5)
= $318 000 [1+[tex]\frac{0.071}{4}[/tex]] ^20
=$318 000 [1+0.01775] ^20
= $318 000 [1.01775] ^20
=$318 000× 1.421747
≈$452 115.44
He will have $452 115.44 in the account
Please help. How can this set be expressed using inequalities?
Answer:
Its the first one
Step-by-step explanation:
10 and x is Greater than -2
A company produces a cardboard box in the shape of a rectangular prism. The surface area of the box is represented by
S= 4x, where x is the length of the base. Find the inverse by solving for x without switching the variables.
The inverse function is x =
Answer:
x=S/4
Or
x=S(1/4)
Step-by-step explanation:
Surface Area(S)=4x
Where
x=length
Inverse by solving for x without switching the variables
S=4x
Divide both sides by 4
S/4=4x/4
S/4=x
x=S/4
Or can also be written as
x=S(1/4)
Question 6 of 10
2 Points
Which of the following words means "chore"?
A. El sillón
B. El estante
C. El dormitorio
O D. El quehacer
Answer:
D
Step-by-step explanation:
it translated into housework in other words chore. hope this helps :)
Answer:
D
Step-by-step explanation:
-
Multiply.Write your anwser in simplest form. 7/12 x 3/4
Answer:
Multiplying the numerators and denominators, we get 21 / 48 = 7 / 16.
Question 19 / 50
In a class of forty students, one fifth of the students also play on the school's
football team. If four more students from the class join the football team, what
percentage of students in the class will be on the football team?
25%
30%
0 33%
O 35%
40%
Submit Answer
Answer: 30%
Step-by-step explanation:
1/5th of students = 1/5 x 40 = 8
If 4 more students join, they will be (8+4) 12 students
Percentage will be 12/40 x 100 = 30%
Dwie proste przecinają się, tworząc kąty ostre i rozwarte. Miara kąta ostrego jest dwukrotnie mniejsza od miary kąta rozwartego. Oblicz miarę kąta rozwartego daje naj
Answer:
The obtuse angle is 120°.The acute angle is 60°.Step-by-step explanation:
This problem is about two crossing line, when that happens, we have 4 angles, two acute and two obtuse, where adjacent angles are supplementary and vertical angles are equal.
We can form the expression
[tex]A = \frac{O}{2}[/tex]
Where [tex]A[/tex] is an acute angle and [tex]O[/tex] is an obtuse angle.}
Using all the given information, we have
[tex]O + \frac{O}{2}=180\°[/tex]
Solving for [tex]O[/tex], we have
[tex]\frac{3O}{2}=180\\ O=120\°[/tex]
Therefore, the obtuse angle is 120°, which means the acute angle is 60°, because they are supplementary angles, as we said befor.
Please I need a answer for 5,6,7, and 8 !!! Please ill mark you as brainliest
Answer:
5. 48
6. 33
7. -16
8. -7
Step-by-step explanation:
[tex]5. \\8(10-4)=\\80-32=\\48[/tex]
[tex]6.\\(-4+-7)(-3)=\\(-4-7)(-3)=\\(-11)(-3)=\\33[/tex]
[tex]7.\\(-7+3)4=\\-4*4=\\-16[/tex]
[tex]8.\\-1(18-11)=\\-1(7)=\\-7[/tex]
8. The difference between two numbers is 14. If 1/3of the larger number is subtracted from the smaller number, the
result equals 1/10 of their sum. Find both numbers.
Answer:
The values of the 2 numbers whose sum is 13 and difference is 3, are: {8 ; 5}.
Step-by-step explanation:
First, tell whether each decimal is a fraction or a mixed number.
Then, write it in simplest form. 0.85
Answer:
Proper fraction.
Step-by-step explanation:
[tex] \frac{85}{100} \\ \\ simplify to= \frac{17}{20} [/tex]
one x intercept for a parabola is at the point (1,0). use the factor method to find the other x intercept for the parabola defined by y=-5x^2+15x-10
First simplify the equation of parabola y=-5x^2+15x-10 in the following way:
D=(15)^2-4\cdot (-5) \cdot (-10)=225-200=25, \\ \sqrt{D}=5, \\ x_{1,2} = \dfrac{-15\pm 5}{2\cdot(-5)} = 2, 1 \\ -5x^2+15x-10=-5(x-1)(x-2), \\ y=-5(x-1)(x-2).
You can see that if x=1 or x=2, then y=0. Two points of intersection with x-axis are (1,0) and (2,0).
Jim, Dan and David share some sweets in the ratio 3:1:5. Jim gets 21 sweets. How many more sweets does David get over Dan?
Answer:
David gets 28 more than Dan
Step-by-step explanation:
Jim: Dan : David: total
3 : 1 : 5 : 3+1+5 = 9
Jim gets 21
21/3 = 7
Multiply each number by 7
Jim: Dan : David: total
3*7 : 1*7 : 5 *7 : 9*7
21 : 7 : 35 : 63
David has 35 and Dan has 7
35-7 = 28
David gets 28 more than Dan
a recipe requires 3.5 teaspoons of sugar to make a tart which equation shows the number of teaspoons of sugar , y , needed to make x tarts?
Answer: x = 3.5y
Step-by-step explanation:
3.5 teaspoons of sugar (y) per tart (x) would look like this
You multiply 3.5 by y to equal x divided by 3.5
x = 3.5y
Enzo drew Triangle K L N. In Enzo's triangle, Measure of angle K is represented as x degrees. The measure of Angle L is 5 times Measure of angle K. The measure of Angle N is 16 degrees less than 8 times Measure of angle K. Which statements must be true about the angle measures of Enzo's triangle? Check all that apply. Measure of angle K = x degrees Measure of angle L = (5 x) degrees Measure of angle N = (16 minus 8 x) degrees Measure of angle K + measure of angle L = measure of angle N Measure of angle K + measure of angle L + measure of angle N = 180 degrees
Answer: (1) Measure of angle K = x degrees
(12) Measure of angle L = (5x) degrees
(3) Measure of angle k + Measure of angle L + Measure of angle N = 180 degrees
Step-by-step explanation: First of all, what we have is a triangle, and one of the properties of a triangle is all three angles add up to 180 degrees. This simply means that the addition of angles K and L and N would be equal to 180 degrees.
The question states that angle K is represented as x degrees, and angle L is 5 times the measure of angle K. Therefore, if K is x degrees, then L is 5 times x, which becomes 5x degrees. Also, angle N is given as 16 degrees less than 8 times the measure of angle K (x degrees). Eight times the measure of angle K is given as 8x. Sixteen degrees less than 8x would now become, 8x - 16 (degrees). Therefore, the angles have been derived as;
Angle K = x degrees
Angle L = 5x degrees
Angle N = 8x - 16 degrees
Having known that one of the properties of any triangle is all angles adding up to 180 degrees, we can now derive the following equation;
x + 5x + 8x - 16 = 180
14 x - 16 = 180
Add 16 to both sides of the equation
14x = 196
Divide both sides of the equation by 14
x = 14
Therefore, angle K = 14 degrees (x), angle L = 70 degrees (5x) and angle N = 96 degrees (8x - 16)
*14 + 70 + 96 = 180*
Answer:
145
Step-by-step explanation:
Complete the missing parts of the table for the following function.
y=(1/6)^x
36,6,36
and btw what episode u on on naruto yah weeb
