Answer:
$160
Step-by-step explanation:
Step one:
It costs $100 to rent the bowling alley
plus $4 per person
the expression for the cost is
[tex]C=100 + 4n[/tex]
where n is the number of people
for n= 15
Step two:
let us substitute
[tex]C= 100+4(15)\\\\C= 100+60\\\\C= 160[/tex]
Which ordered pair is a solution of the equation y=5x? (-2, 10) (-5, 25) (-3, 15) (-2, 10)
One of the solutions of the given equation y = 5x is (2,10)
The solution of an equation means if we substitute the value of this solution into the equation, it will produce the correct equality from the left side to the right side.
If the solution has 2 variables, for example x and y, and the solution is (a,b) means that if we replace x with a and y with b, the equality is correct.
The given equation is: y = 5x
For option (-2,10), substitute x = -2 and y = 10 into the equation:
10 = 5 . (-2)
10 = -10 (False)
Hence (-2,10) is not a solution.
For option (-5, 25), substitute x = -5 and y = 25 into the equation:
25 = 5 . (-5)
25 = -25 (False)
Hence (-5, 25) is not a solution.
For option (-3, 15), substitute x = -3 and y = 15 into the equation:
15 = 5 . (-3)
15 = -15 (False)
Hence (-3, 15) is not a solution.
There is no options in the problem that gives the correct equality. Looks like there is a typo.
Example of a solution of the given equation is (2,10), since if we substitute x = 2 and y = 10 into the equation:
10 = 5 . (2)
10 = 10 (True)
Hence (2, 10) is a solution.
Learn more about the the solution of equations here:
https://brainly.com/question/27090717
#SPJ4
Find sin theta if cot theta = -2 and cos theta < 0
cot(θ) = cos(θ)/sin(θ)
So if both cot(θ) and cos(θ) are negative, that means sin(θ) must be positive.
Recall that
cot²(θ) + 1 = csc²(θ) = 1/sin²(θ)
so that
sin²(θ) = 1/(cot²(θ) + 1)
sin(θ) = 1 / √(cot²(θ) + 1)
Plug in cot(θ) = -2 and solve for sin(θ) :
sin(θ) = 1 / √((-2)² + 1)
sin(θ) = 1/√(5)
The cook prepares 12 hard-boiled eggs, 36 scrambled
eggs, and 7 poached eggs. Write the ratio of hard-
boiled to scrambled eggs as a fraction.
Answer: 12/36 and simplified would be 1/3
Step-by-step explanation:
12 - hard boiled eggs
——
36 - scrambled
Divide them by 12 and you get a simplified fraction
6(5g-7h+4)
6(5g−7h+4)
Answer:
Step-by-step explanation:
30g-42h+24
30g-42h+24
plz help meeeeeeeeeee
Answer:
Please check the explanation.
Step-by-step explanation:
We know the equation
y = kx
k = y/x
where k is the proportionality constant
so,
First ratio can be calculated as
Miles = 45
Hours = 3/4
The ratio = 45 / (3/4)
= (45 × 4) / 3
= 180/3
= 60
Thus, the proportionality constant = 60
Thus, the remaining ratios can be calculated as:
The Pair (135, Hours)
135/Hours = 60
Hours = 135 / 60
= 27/12
= 9/4
= 2.25
Thus, the pair is (135, 2.25)
The Pair (Miles, 3)
Miles/3 = 60
Miles = 60×3
= 180
The Pair (90, Hours)
90/Hours = 60
Hours = 90 / 60
= 3/2
= 1.5
Thus, the complete table:
Miles 45 135 180 90
Hours 3/4 9/4 3 3/2
Verification:
Miles / Hour = 45/(3/4) = 60
Miles / Hour = 135 / 2.25 = 60
Miles / Hour = 180 / 3 = 60
Miles / Hour = 90 / 1.5 = 60
Help please asap!! I will mark you as brainliest :)

The function of f is shown. Find lim f(f(x)) as x->-1
Answer:
The limit of f(f(x)) = -1.
Step-by-step explanation:
Limt x--> -1 of f(x) = 3.
This output is now applied to f(x):
Limit x---> 3 of f(x) = -1.
pls help ;(
all you need is in the picture
Its A I know it m8 trust me
Hi there! Please help ASAP! The question is in the photo!
Answer:
36.87 degrees
Step-by-step explanation:
we can use the cos ratio:
cos(x) = adjacent/hypotenuse
cos(x) = 12/15
x = [tex]cos^{-1} (4/5)[/tex]
x=36.87 degrees
Which of the following inequalities matches the graph?
graph and answer choices in image
Given:
The graph of an inequality.
To find:
The inequality for the given graph.
Solution:
From the given graph it is clear that the related line is a vertical line parallel to the y-axis at a distance of 7 units from the left of y-axis. It intersect the x-axis at x=-7.
So, the related equation for boundary line is
[tex]x=-7[/tex]
The shaded region is on the left side of the boundary line. it means, the value of x which are less than -7 are included in the solution set.
The boundary line is a solid line. It means -7 is also included in the solution set.
The value of x is less than or equal to -7. So, the inequality for shaded region is
[tex]x\leq -7[/tex]
Therefore, the correct option is B.
What is the equation of the line that passes
through the points (-7, -10) and (-6, -8)?
Gerry's electric toothbrush rotates the brush 125 times per second.
Gerry brushes her teeth for two minutes, twice a day.
How many rotations does her electric toothbrush make in one week?
Answer:
Her electric toothbrush makes 210,000 rotations in one week
Step-by-step explanation:
Note that:
1 minute = 60 seconds1 week= 7 days∵ Gerry brushes her teeth for two minutes, twice a day
→ Twice means times 2
∴ Gerry brushes her teeth for 2 × 2 = 4 minutes a day
∵ Gerry's electric toothbrush rotates the brush 125 times per second
∵ 1 minute = 60 seconds
→ Multiply 125 by 60 to find the number of rotating in 1 minute
∴ Gerry's electric toothbrush rotates 125 × 60 = 7,500 in 1 minute
∵ Gerry brushes her teeth for 4 minutes a day
→ Multiply it by 4 to find the number of rotation in 1 day
∴ Gerry's electric toothbrush rotates 7,500 × 4 = 30,000 in 1 day
∵ 1 week = 7 days
→ Multiply the number of rotation in 1 day by 7 to find it in 1 week
∴ Gerry's electric toothbrush rotates 30,000 × 7 = 210,000 in 1 week
∴ Her electric toothbrush makes 210,000 rotations in one week
Which the following points is on the line whose equation is 2x - y = 3
a. (-1,-5)
b. (0,3)
c. (2,-1)
d. (3,2)
One half the sum of two numbers equals their difference. What are the numbers if their sum is 56
Answer:
28
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
(1/2)56 = a - b
28 = a - b
a + 28 = 56
a = 28
What does y=kx mean
Answer:
k is the slope of the graph.
Step-by-step explanation:
Evaluate the expression below if x = 3 and y= -4.
X - Y - 3+ (-57)
Answer:
-53
Step-by-step explanation:
3-(-4)-3-57
7-3-57
4-57
=-53
find the answer- 8.19÷1.3
Answer:
-6.3
Step-by-step explanation:
You can do it on calculator.
The base of an isosceles triangle is 4 units longer than the
sides. The perimeter of the triangle is 23.6 units. Which
system of equations can be used to find the length b of the
base and the length s of the sides?
Step-by-step explanation:
2s + b = 23.6
s + 4 = b
s = b - 4
2b - 8 + b = 23.6
3b = 31.6
b = 31.6 / 3 = 10.53333333(etc.) which is approx. 10.53
s = 6.53
Answer:
1gm = 1000mg so 0.1gm = 1000mg
first, convert the weight to kg
160lb * 1kg/2.2lb = 72.7kg
next, the dose
72.7kg * 100mg/kg = 7270mg
Step-by-step explanation:
f the relationship is proportional, what is the missing value from the table? x y –3 9 –5 ? –7 21 –18 –15 15 18
WILL GIVE BRAINLIEST!!!
Answer:
Its A!
Step-by-step explanation:
i took the test on edge 2020-2021
Answer:
2
Step-by-step explanation:
Bob and Alice have designed and created a website for their high school. The first week they had 5 visitors to the site; the second week, they had 10 visitors; and during the third week, they had 20 visitors. If the trend continues, how many visitors can they expect in the fifth week? Explain your answer.
Answer: 80
Step-by-step explanation:
Number of visitors in first week = 5
Number of visitors in second week = 10
Number of visitors in third week = 20
The common ratio here is = 10/5 = 2
The fifth term will be:
= ar^n-1
where,
a = first term = 2
r = ratio = 2
n = number of terms = 5
= 5 × 2^(5-1)
= 5 × 2^4
= 5 × 16
= 80
AD and BC are equal perpendiculars to a line segment AB [see fig 7.18] Show that CD bisects AB.
Answer:
because a=b and c=d so bisect
A figure has the following vertices: A(0,4), B(3,8), and C(4,0). What are the vertices of the figure after a reflection across the x-axis?
Answer:
A -> (0,-4)
B -> (3, -8)
C -> (4, 0)
Step-by-step explanation:
Hiya! When it came to this, the goal of shifting a figure across the x-axis is to get it flipped across the horizontal line. By doing this, which I may potentially be incorrect on, I assumed that you would have to take the negatives of the y values in order to make that shift downwards. I left the x-values be, as I believe they remain stable when you're only doing a reflection across the x-axis. C also remained the same, as a negative of a zero is still a zero. If you would like to see this change graphed out, I would recommend plugging the coordinates into Desmos to see the shapes. I hope this at least helped a little!
The amount of time it takes a water pump to empty a tank varies directly as the capacity of the tank. If it takes a water pump 2.5 hours to empty a tank containing 60,000 gallons of water, how long does it take the same pump to empty a tank containing 108,000 gallons of water?
Answer: 4.5 hours
Step-by-step explanation: i used cross multiplication.
2.5/x=60,000/108,000
60,000x=270,000
divide 270,000 by 60,000
x=4.5
An equation is formed when two equal expressions. The time the same pump will take to empty a tank containing 108,000 gallons of water is 4.5 hours.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given that the amount of time it takes a water pump to empty a tank varies directly with the capacity of the tank. Therefore, the relationship can be written as,
V ∝ T
V = kT
Substituting the volume and time in the equation,
60,000 gallons = 2.5 hours × k
Solving the equation for k,
k = 60,000 gallons / 2.5 hours
k = 24,000 gallons per hour
Now, the equation for the relationship can be written as,
V = 24,000 gallons per hour × T
Now, the time the same pump will take to empty a tank containing 108,000 gallons of water is,
V = 24,000 gallons per hour × T
108,000 gallons = 24,000 gallons per hour × T
108,000 gallons / 24,000 gallons per hour = T
T = 4.5 hours
Hence, the time the same pump will take to empty a tank containing 108,000 gallons of water is 4.5 hours.
Learn more about Equation:
https://brainly.com/question/2263981
#SPJ5
Hey, Whats The answer please explain your answer marking brainliest:D...
what is the average of all positive integers that have four digits when written in base $3$, but two digits when written in base $6$? write your answer in base $10$.
Average of all positive Integers , when written in base 10 is 58.
given,4 digits base 3
smallest 1000 = 3^3 = 27
biggest 2222 = 2*27+2*9+2*3+2 = 802 digits base 6smallest 10 = 36biggest 1000-1 = 6^3-1 = 4095.
So the intersection of these is 36 to 80 , 80-36+1 = 45
sum of numbers from 36 to 80 = (45/2)(72+44) = 45/2*116= 45*58 = 2610 average = 2610/45 =58A more straight forward approach would be to say that of there are 45 numbers the median on is in the 46/2 = 23rd position.
In this case the median and the mean will be the same. 36+23-1 = 58.
The median is the middle number in a sorted, ascending or descending list of numbers and can be more descriptive of that data set than the average. It is the point above and below which half (50%) the observed data falls, and so represents the midpoint of the data.
Median is not dependent on all the data values in a data set. The median value is fixed by its position and is not reflected by the individual value. The distance between the median and the rest of the values is less than the distance from any other point.
to know more about integers;
visit: brainly.com/question/28449788.
#spj4
Find the indicated sum.
10
∑ (2j+8)
j=1
Answer: 190
Split the summation into smaller summations that fit the summation rules
10∑ j=1 (2j+8) = 2 10∑ j=1 (j) + 10 ∑ j=1 (8)
Firstly Evaluate
10
2 ∑ j=1 j
The formula for the summation of a polynomial with degree one is:
n∑ k=1 k =n (n+1) / 2
putting the values
2∑ j=1 j = (2)* 10 * (10+1) / 2
= 110…………………..(1)
second Evaluate :
10 ∑ j=1 (8)
The formula for the summation of a constant is:
N ∑ k=1 c = cn
Putting the values
10 ∑ j=1 (8) = 8 * 10
= 80……………….(2)
Adding both (1) and (2)
110+80
190
There were 239 people at a Travis Scott concert, Admission to the drive-in concert was $15 for adults and $5.50 for children. The total cost was $2758.50.
Answer:
IM A HUGE TRAVIS SCOTT FAN I SNUCK IN ONE OF HIS CONCERTS
Step-by-step explanation:
write the equation for this line in slope intercept form
Answer:
y = [tex]\frac{3}{2}[/tex]x + 2
Step-by-step explanation:
Slope-intercept form is y = mx + b with m as the slope and b as the y-intercept.
The y-intercept is the point where the line intersects the y- axis.
y = mx + 2
The equation to find slope is [tex]\frac{y1-y2}{x1-x2}[/tex] Two points from the line: (0,2) (4,8)
[tex]\frac{8-2}{4-0}[/tex] = [tex]\frac{6}{4}[/tex] = [tex]\frac{3}{2}[/tex]
y = [tex]\frac{3}{2}[/tex]x + 2
what is 1000000+25437
Answer:
1025437
Step-by-step explanation:
1000000+25437=1025437
Answer:
1025437
Step-by-step explanation:
hope it helps, please mark as brainliest
what is 362,000 rounded to the nearest ten thousand
Answer:
360,000
Step-by-step explanation: