Answer:
I'm not an expert here, this is a best guess!
But I would say if there is no chance that of him incurring excess costs of less than $500, then he knows without insurance he'll end up paying at least $500, possibly more out of pocket, without the insurance.
so I would say He ends up spending the least amount out if pocket by going with option A. for $75. that's $75 out of pocket with no deductible and it covers his $500+ in excess costs....B and C would also cover the excess, but would each cost $140 or $275 out of pocket at the end of the day....
with that being said, I'd say it's worth it to buy the insurance....even if he doesn't have any excess costs, he's spent $75 dollars for the peace of mind to know he's covered either way, and if he does incur the excess costs he's spent $75 rather that $500+....Even if the excess charges are only $100, which it says there is no chance of happening, but still, then he's still saved $25 altogether. Unless I'm reading it wrong, Option A saves him the most money either way, and is worth it to buy the insurance!
Tomas bikes 3 3/4 miles each morning and 2 1/2 miles each afternoon
How far does Tomas bike in 6 days?
Answer:
37 1/2 miles
Step-by-step explanation:
1. 3 3/4 + 2 1/2 = 6 1/4
2. 6 1/4 x 6 = 37 1/2
Solve {2x — y = 13; 3x + y = 12
Answer:
{x,y}={5,-3}
Step-by-step explanation:
Byron is 3 years older than Doug. The product of their ages is 40. How old Doug?
A. 10
B. 8
C. 5
D. 4
Answer:
Option B is correct
Step-by-step explanation:
Doug is x years old, so Byron is x+3 years old. The product of their ages would then be x times x+3:
x(x+3) = 40
x2 + 3x = 40
x2 + 3x + 40 = 0
Now, factor the equation:
(x+8)(x-5) = 0
Then, solve for both values of x:
x+8 = 0
x = -8
x-5 = 0
x = 5
As no one can have a negative age, we simply disregard x=-8 as invalid. Therefore, Doug is 5 years old & Byron must be 5+3 - or 8 years old.
Hope it is helpful...Answer:
Doug is 10 years old; option A
Step-by-step explanation:
set up expressions using the information you already know:
B (byron)
D (doug)
B = D + 3
B * D = 40
you can now solve by plugging in an expression for the variable B in the second equation.
D + 3 * D = 40
D + 3D = 40
(combine like terms)
4D = 40
(divide by 4 on both sides to isolate the variable and balance the equation)
4D/4 = 40/4
D = 10
So, the answer is A; Doug is 10 years old
A container is 1/3 full pf water and 1/4 full of oil. What fraction of the container is empty?
Answer
IS 2/4
Step-by-step explanation:
1/3 = 4/12 1/4 = 3/12 4/12+3/12= 6/12 = 2/4
The school is having a bake sale. It costs $6 to make a cake. The school wants to make a 25% profit on each cake. How much should the school charge for each cake?
Answer:
$1.50
Step-by-step explanation:
25% of 6 is basically just 6/4, which is 1.5.
This is money we're talking about, so the answer is $1.50
Which ordered pair is located on the X-axis? A) (0,-5) B) (-2) C) (3,0) D) (-1,5)
Answer:
(3 , 0 )
Step-by-step explanation:
At x-axis, y-co ordinate is 0
So, (3,0)
Answer: (3, 0)
Step-by-step explanation: The x-intercept is a point where a line crosses the x-axis and it's important to understand that all x-intercepts have a y-coordinate of zero. So the point (3, 0) is the x-axis.
In the picture below, I have plotted a few points including the point
in this problem to show you that all x-intercepts have a y-coordinate of zero.
Which transformation is a dilation?
What the side length ST equals
Answer:
7.1 in
Step-by-step explanation:
A triangle adds up to 180 degrees, and we know angle S is 90 degrees, so angle U is 180-90-42=48 degrees.
Using the law of Sines, we can say that
sin(90)/9.5 = sin(48)/ side ST
Thus, side ST = sin(48) * 9.5/sin(90) = 7.1 in
find the equation of the straight line parallel to y = 5 - 3x and passing through the point (0,2)
Answer:
[tex]gradient = - 3 \\ y = mx + c \\ 2 = ( - 3 \times 0) + c \\ c = 2 \\ \therefore \: y = - 3x + 2 \\ y = 2 - 3x[/tex]
Please please help with this no links please
Answer:
f/9
Step-by-step explanation:
n + 5/5 = f + 9/9
do cross multiplication
5(f+9)=9(n+5)
5f+45=9n+45
5f=9n+45-45
5f=9n+0
f/9 = n/5
A man travels 20 km by car from Town P to Town Q at an average speed of x km/h. He finds that the time of the journey would be shortened by 12 minutes if he increases his speed by 5 km/h. Find the value of x.
Answer:
x = 20.
Step-by-step explanation:
First, you should remember the relation:
Distance = Speed*Time.
First, we know that a man travels a distance of 20km at a speed of x km/h, in a time T.
We can write this as:
20km = (x km/h)*T
We know that the time is shortened by 12 minutes if the speed is increased by 5km/h
Rewriting these 12 minutes in hours (remember that 60min = 1 hour)
12 min = (12/60) hours = 0.2 hours
Then from this, he can travel the same distance of 20km in a time T minus 0.2 hours if the speed is increased by 5 km/h
We can write this as:
20km = (x + 5 km/h)*(T - 0.2 h)
Then we have a system of two equations, and we want to find the value of x:
20km = (x km/h)*T
20km = (x + 5 km/h)*(T - 0.2 h)
First, we should isolate the variable T in one of the equations, if we isolate it in the first one, we will get:
20km/(x km/h) = T
Replacing that in the other equation we get:
20km = (x + 5 km/h)*(T - 0.2 h)
20km = (x + 5 km/h)*( 20km/(x km/h) - 0.2 h)
Now we can solve this for x.
Removing the units (that we know that are correct) so the math is easier to read, we get:
20 = (x + 5)*(20/x - 0.2)
We only want to solve this for x.
20 = x*20/x - x*0.2 + 5*20/x - 5*0.2
20 = 20 - 0.2*x + 100/x - 1
subtracting 20 in both sides we get:
20 - 20 = 20 - 0.2*x + 100/x - 1 - 20
0 = -0.2*x + 100/x - 1
If we multiply both sides by x we get:
0 = -0.2*x^2 + 100 - x
-0.2*x^2 - x + 100 = 0
This is just a quadratic equation, we can solve it using the Bhaskara's equation, the solutions are:
[tex]x = \frac{-(-1) \pm \sqrt{(-1)^2 - 4*(-0.2)*100} }{2*-0.2} = \frac{1 \pm 9 }{-0.4}[/tex]
Then the two solutions are:
x = (1 + 9)/-0.4 = -25
x = (1 - 9)/-0.4 = 20
As x is used to represent a speed, the negative solution does not make sense, so we should use the positive one.
x = 20
then the average speed initially is 20 km/h
The probability model based on experimental probability for randomly selecting a marble from a bag is P(green)=18/40, P(Blue)=14/40, and P(white)=8/40. About how many marbles of each color are in the bag if there are 60 total marbles.
A. 27 green, 12 blue, 21 white
B. 12 green, 27 blue, 21 white
C. 27 green. 21 blue, 12 white
D. 27 white, 12 blue, 21 green
Answer:
C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
it the only one that make sense
Evaluate.
−8125−−−−√3
−425
−25
425
25
Answer:
-2/5
Step-by-step explanation:
( -8/ 125) ^ 1/3
We know (a/b) ^ 1/3 = a^ 1/3 / b^1/3
( -8) ^ 1/3 / ( 125) ^ 1/3
Rewriting
( -2^3) ^ 1/3 / ( 5^3) ^ 1/3
We know that a^b^c = a^(b*c)
-2^(3* 1/3) / 5^(3 * 1/3)
-2 / 5
Answer:
-2/5
Step-by-step explanation:
Solve for x. Round to the nearest tenth of a degree, if necessary.
Answer:
29.9Step-by-step explanation:
tan x = 5.6/9.7
tan x = 0.57732
x = 29.9 to nearest tenth
I hope I'm correct if not I tried my best
bye :-)
Use | = PRT to solve.
(time is in years)
P = $2,000
R = 15%
Find I.
T = 2 years
Answer:
$600
Step-by-step explanation:
I = 2000(.15)(2)
I = 600
Malcolm planted two trees in his yard. One tree is 50 inches tall and grows
at a rate of 2 inches per month. The other tree is 59 inches tall and grows
at a rate of 1 inch per month. How many months will it take until both
trees are the same height?
When filled to capacity, the water in the aquarium water
tank reaches 32 feet. The water is currently reaching 24
feet. What percentage of the tank is full?
Answer:
75 %
Step-by-step explanation:
Evaluate the expression below when x = 7 and y = 8.
5x2−3y
Answer:
221
Step-by-step explanation:
Substitute x = 7 and y = 8 into the expression
5(7)² - 3(8)
= 5(49) - 24
= 245 - 24
= 221
One floor is randomly taken from a
vase containing 5 red flowers,
2 white flowers, and 3 pink flowers.
Find the probability of taking a red
or a pink flower.
Kiran's father is 65 years old. He is 8 years older than three
times Kiran's age. Find Kiran's age?
Answer:
let kiran's age be x
kiran's father's age is 65
acc.to ques
kiran's father is 8 years older than 3 times kiran's age ....which gives us the equation as follows
8+3x =65
therefore
3x =65-8
3x =57
x =57/3
x= 19 ans
so kiran's age is 19 years.
Answer:
kiran is 19 years old.
Step-by-step explanation:
kiran's father age = 65
let kiran's age be x
kiran's father is 8 years older than three times kiran's age means 8 + 3x
so according to the question equation is
65 = 8 + 3x
65 - 8 = 3x
57/3 = x
19 = x
therefore kiran's age is 19 years.
Find the least number which must be added to 2000 to make the sum a perfect square
What is the solution to the linear equation? = -12 + 3b - 1 =-5 - b
Answer:
b = 2
Step-by-step explanation:
hope it works
Originally a rectangle has dimensions 12in by 8in. if the same amount increases on both sides, the area is doubled find the new dimensions
Step-by-step explanation:
Let the increase in the size of the length and breath be 'x'.
The area of the rectangle = 12in × 8in
=96 in²
From the question,
(12+x)(8+x)=96×2 in²
or, 96+12x+8x+x²= 192
or, x²+20x+96-192=0
or, x²+20x-96=0
or, x²+24x-4x-96=0
or, x(x+24)-4(x+24)=0
or, (x-4)(x+24)=0
Either, Or,
x-4=0 x+24=0
Therefore, or, x= –24 (Which is impossible)
x=4
So the new dimensions are 12+4=16 inch and 8+4=12 inch.
A square with an area of A2 is enlarged to a square with an area of 25A2. How was the side of the smaller square changed?
The side length was increased by 5.
The side length was multiplied by 5.
The side length was increased by 10.
The side length was multiplied by 10.
Answer:
second option : the side length was multiplied by 5.
Step-by-step explanation:
a = side length of the original square
A² = a×a
(a+5)×(a+5) = a² + 10a + 25
and that should be equal to a²×25
a² + 10a + 25 = 25a² ?
10a + 25 = 24a²
no, that is not true for all a
a×5 × a×5 = a²×25 = 25A²
this is the correct solution, as it is true for all a.
For the area to be 25a², the side length was increased by 5.
How to calculate the area of a squareLet a be the side length of the original square, hence:
A = a²
Increasing the length by 5 will give:
(a+5)×(a+5) = a² + 10a + 25
Factorizing the result
a² + 10a + 25 = (a+5)²
a² + 10a + 25 = 25a²
This shows that for the area to be 25a², the side length was increased by 5.
Learn more on area of square here: https://brainly.com/question/25092270
what is the probability of rolling a 6?
find the indicated side of the triangle 60 30
Answer:
7√3
Step-by-step explanation:
tan 60° = x/7
√3 = x/7
x = 7√3
Which statement is true for the equation 4x - 4x - 5= -5? (5 points)
It has no solution
It has one solution.
It has two solucions
It has infinitely many solutions
Answer:
infinitely many solutions
Step-by-step explanation:
PLEASE HELP 50 POINTS
What is the inverse of y= 1/3 * 7^x-1
Answer:
I think its C
Step-by-step explanation:
EASY GEOMETRY PLS HELP!!!!
Answer:
D
Step-by-step explanation:
It is a 30, 60, 90 triangle
if the leg on the same side as the 90 degree angle is [tex]14\sqrt{3}[/tex], then:
The base is 14, and the hypotenuse is 28
In this type of triangle:
the base [tex]\sqrt{3}[/tex] is the other leg
and 2 times the base is the hypotenuse
so x=14, and y=28
Answer D
Can someone else me with this
Answer:
8
Step-by-step explanation:
Answer:
Hi, there your answer is 4
Step-by-step explanation: