Alright!
To start this problem, we need to come up with equations that represent both of the Hosts' services
Key equation:
y = mx + b
x = the # of hours
Host A:
An initial $45 means this will be our constant
$16.25 per hour means it needs the variable x
Host A equation: y = 16.25x + 45
Host B:
An initial $51 means this will be our constant
$13.50 per hourmeans it needs the varible x
Host B equation : y = 13.50x + 51
To find the approximate number of hours (x) when both hosts charge the same amout, we must set their equations equal to each other.
16.25x + 45 = 13.50x + 51
Now, Solve!
16.25x = 13.50x + 51 - 45
16.25x = 13.50x + 6
16.25x - 13.50x = 6
2..75x = 6
now divide to find x!
x = 6 ÷ 2.75
x = 2.18
but we must round to the nearest tenth, so your final answer is
x = 2.2 hours!
Hope I helped! Comment if you have any questions about my solution :)
what does 2(5*-3) =
Answer:
[tex]-30[/tex]
Step-by-step explanation:
Step 1: Multiply inside the parenthesis
[tex]2(5 * -3)[/tex]
[tex]2(-15)[/tex]
Step 2: Multiply
[tex]2(-15)[/tex]
[tex]2 * -15[/tex]
[tex]-30[/tex]
Answer: [tex]-30[/tex]
Casandra finds a treasure chest packed with metallic coins.The chest has a volume of 0.25 m3. The coins have a combined mass of 4825 kg. Hoping to find gold, she calculates the density to determine the metal of the coins. What kind of the coins made of
Missing information
Options
What kind of metal are the coins made of?
Bronze (8700 kg per cubic meter)
Silver (10500 kg per cubic meter)
Lead (11300 kg per cubic meter)
Gold (19300 kg per cubic meter)
Answer:
Gold
Step-by-step explanation:
Density is mass per unit volume of an object hence calculated as
d=m/v
Where m is the mass of an object, v is the volume and d is rhe density.
Substituting 4825 Kg for m and 0.25 m3 for v then
D=4825/0.25=19300 kg/m3
From the options given, this density is equivalent to that of gold.
A circle is shown. Secants R S and R T intersect at point R outside of the circle. Secant R S intersects the circle at point U. Secant R T intersects the circle at point V. The length of R U is 6, the length of U S is 10, and the length of R V is 8.
If secant segments SR and TR intersect at point R, find the length of VT.
Start by relating the secants and segments theorem to this diagram:
(RS)() = ()(RV)
Substitute values from the diagram into the equation:
(16)() = ()(8)
Solve for VT:
VT =
Answer:
Everything in -> [x]
(RS) [(RU)] = [(RT)] (RV)
(16) [(6)] = [(8+VT)] (8)
VT = [4]
Step-by-step explanation:
I just did the assignment, you're welcome.
Answer:
(RS) [(RU)] = [(RT)] (RV)
(16) [(6)] = [(8+VT)] (8)
VT = [4]
Step-by-step explanation:
Here mi amor
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a rectangles perimeter and area have the same numerical value. the width of the rectangle is 3 units . what is the length of the rectangle in units?
Answer:
6
Step-by-step explanation:
Answer:
The length is 6
Step-by-step explanation:
P= L+ L + W+ W
P = L + L + 3 x 3
P = L + L + 6
We check A and enter below.
P = 12-6 + 18-6 = 18
A = L x W = 18
A = L x 3 = 18
A = 6 x 3 =18
What is the mode of the following set of numbers? 15, 20, 18, 20, 15, 20 A 20 B 18 C 5 D 19 .
Answer:
A
Step-by-step explanation:
Mode is the one that appears the most. The number that is there the most is 20 that makes it the mode.
The correct answer is A. 20.
To find the mode of a set of numbers, one must identify the number that appears most frequently in the list. In the given set of numbers: 15, 20, 18, 20, 15, 20, we can see that the number 20 appears three times, which is more frequent than any other number in the set. The number 15 appears twice, while the numbers 18 and 20 each appear once. Since 20 is the number with the highest frequency, it is the mode of the set.
Therefore, the mode of the given set of numbers is 20.
I need help on this Question.!
Answer:
see below
Step-by-step explanation:
m/n = 1/7
Using cross products
7m = n
This is a direct proportion
Does it seem fair to you that a hit could be a home run at one stadium but not at others?Explain.
Answer:
No. If standards differ at different sports stadiums, that makes the game unfair for one team or the other. A win at one stadium could be a loss at another. To make the game fair, all facilities should be equal.
Step-by-step explanation:
The unique dimensions and characteristics of each baseball stadium, known as park factors, can impact whether a hit becomes a home run. Although it might seem unfair, it's the same for all teams and is part of the game's complexity. Not only the player's skill but also their knowledge of the park's attributes can influence the outcome of the game.
Explanation:The different sizes and features of baseball stadiums, known as park factors, can impact game dynamics, including whether a hit results in a home run. This is part of the sport's complexity and challenge, as players must adapt their strategies for different venues. It might seem unfair, but it's the same for all teams as they each host and visit various stadiums throughout the season.
In some parks, for example, the distance from home plate to the outfield wall is less, which could make it easier for a hit to become a home run. In contrast, larger parks or those at higher altitudes, where the air is thinner and ball travels further, might be tougher to score a home run.
All these make baseball a fascinating sport, where not only the player's skill but also nuanced aspects like knowledge of the park play an essential role in the outcome of the game. Thus, by definition, a home run is still a successful hit, but where that hit ends up can depend on numerous variables, including the park's attributes.
Learn more about Baseball Stadiums here:https://brainly.com/question/23524538
#SPJ12
Ava has a bag with 3 red, 2 blue, and 11 green beads.
She selects a bead at random. What is the probability that Ava does not select a green bead?
Answer:
5/16 or 31.25%
Step-by-step explanation:
There are 16 beads altogether 11 are green and the rest aren't so there for is 5 out of 16 chance green won't be selected
Answer:
5/16
Step-by-step explanation:
Hurry. A catapult launches a pumpkin with an upward velocity of 150 ft./s.
The height of the pumpkin, h, in feet after t seconds is given by the
function h = -16t2 + 150t + 20. How long does it take the
pumpkin to reach its maximum height? What is the pumpkin's
maximum height? Round to the nearest hundredth, if necessary.
Answer:
Time taken to reach maximum height=4.69 seconds
Maximum Height=371.56feet
Step-by-step explanation:
Given the height function of the pumpkin:
[Tex]h = -16t^2 + 150t + 20[/tex]
The pumpkin reaches it's maximum height at its axis of symmetry.
Therefore, we determine its equation of symmetry.
The equation of symmetry:
[Tex]t=-\frac{b}{2a}[/tex]
a=-16, b=150.
Therefore:
[Tex]t=-\frac{150}{2*-16}=4.6875[/tex]
The pumpkin reaches maximum height after 4.6875 seconds.
At t=4.6875
[Tex]h = -16(4.6875)^2 + 150(4.6875)+ 20\\=371.5625\approx 371.56 \:feet[/tex]
The pumpkin's maximum height is 371.56 feet.
Which type of individual retirement account should you choose if you want your contributions to be tax deductible?
What is the domain of g(x)?
The graph of f(x) = 6(0.25) and its reflection across the y-
axis, g(x), are shown.
COND
all real numbers
all real numbers less than 0
all real numbers greater than 0
all real numbers greater than or equal to 0
g(x)
A
+
1 +
f(x)
5
4 3
2
1
1 2
3
4
5 x
Answer:
y=(x+6)
2
−6
Step-by-step explanation:
what is missing blank
Answer:
-1
Step-by-step explanation:
the y s are decreasing by 3 while the x s are increasing by 2.
brainliest?
Answer:
-1
Step-by-step explanation:
if you look at the pattern, the x's pattern is minus 2, and the y's pattern is minus 3. to find the answer you just continue the pattern.
Hope this helps!
Can you answer part B? I will mark you as brainliest
Answer:
The fraction is 2/10
Step-by-step explanation:
Option 2: Senator Kennedy's Initiative proposed extending the school day by 30%-a radical increase. If each 6-hour
school day were extended according to Senator Kennedy's plan, each day would be how many hours?
Answer: ok
Step-by-step explanation:
A box shaped like a right rectangular prism
measures 5 centimeters by 3 centimeters by
2 centimeters. What is the length of the interior
diagonal of the prism to the nearest hundredth?
Answer:
[tex]\sqrt{38}[/tex]
Step-by-step explanation:
Given that:
The 3 demensions of the right rectangular prism measures 5 centimeters by 3 centimeters by 2 centimeters.
Because we do not know which one is the height, the length and the width of the box, so we assume them (it does not affect the length of the interior
diagonal )
the height : 5 centimetersthe length : 3 centimeters the width : 2 centimetersTo find the length of the interior diagonal of the prism, we use the following formula:
d = [tex]\sqrt{l^{2} +w^{2} +h^{2} }[/tex] = [tex]\sqrt{5^{2} +3^{2} + 2^{2} } = \sqrt{38}[/tex]
Hope it will find you well.
Answer
38 or about 6.16
Can you solve for x please.
Answer:
3/4
Step-by-step explanation:
Multiply both sides by x
2x/3 = 1/2
Multiply both sides by 3
2x = 3/2
Divide both sides by 2
x = 3/4
Please help!
I don't understand..
Answer:
58 should be the answer
Step-by-step explanation:
<CBD is 90 and <BDC is 32 as well since its the same as angle <BDA and 180 in every triangle so 180-90-32=58.
A fair 6 numbered die is rolled. What is the probability that the number rolled is greater that 3
Answer:
½
Step-by-step explanation:
Greater than 3: 4,5,6
3/6 = 1/2
Answer:
1/2
Step-by-step explanation:
there is 6 numbers and 3 numbers greater than 3. so put that in fraction form 3/6 then simplify to 1/2
The coned shaped room has a height of 15 ft and a radius of 72. Find the volume
Answer:
81430.08
Step-by-step explanation:
Final answer:
The volume of a cone with a height of 15 ft and a radius of 72 ft is found using the formula V = (1/3)πr²h, and the calculated volume is approximately 81457.9 cubic feet.
Explanation:
The question is asking to find the volume of a cone, which has a height of 15 ft and a radius of 72 ft. The formula to calculate the volume of a cone is V = (1/3)πr²h, where 'V' represents the volume, 'r' is the radius of the base, and 'h' is the height of the cone.
To solve for the volume:
V = (1/3)π(72 ft)²(15 ft)
V = (1/3)π(5184 ft²)(15 ft)
V = (1/3)π(77760 ft³)
V = 25920π ft³
Therefore, the volume of the cone is approximately 25920π cubic feet, or when π is approximated as 3.14159, the volume is about 81457.9 cubic feet.
Find the median for the frequency table above
Answer:3
Step-by-step explanation:
the median is always the middle number
hope this helps.
Determine the vertex of the function f(x) =
-4(x-3)^2+ 6.
(6,-3)
(6,3)
(3,6)
O (-3, 6)
Answer:
C
Step-by-step explanation:
Factor completely. 1+12x+36x^2 what is the answer
Step-by-step explanation:
Factor using the perfect square rule.
( 1 + 6 x ) 2
Answer:
(1+6x)^2
Step-by-step explanation:
Select all the families that -3.7 belongs to.
Natural
Whole
Integer
Rational
Irrational
find missing angle..x=??
Answer:
X=147°
Step-by-step explanation:
Angle on a straight line is 180
And x,33 is given on a straight line
It will be solved as
X+33=180
Substrate 33 from both sides
X=147°
Therefore x=147°
What should you do to get the two terms with variables on the left side of the equation?
Answer:
Either divide or multiply
Answer: you would subtract 3/4 from both sides of the equation
Step-by-step explanation:
Round 18.4049629645 to 4 decimal places
Marty and Juan took turns driving a cargo truck. The ratio of the miles Marty drove to the miles Juan drove is 6 to 7. Juan drove 150 more miles than Marty. How many miles did Marty and Juan drive in all?
The total miles are 1950 miles. Marty drove 900 miles and Juan drove 1050 miles, if the ratio of the miles Marty drove to the miles Juan drove is 6 to 7 and Juan drove 150 more miles than Marty.
Step-by-step explanation:
The given is,
Ratio of the miles Marty drove to the miles Juan drove is 6 to 7
Juan drove 150 more miles than Marty
Step:1
Calculate the difference in the ratio of the miles Marty drove to the miles Juan drove,
X = 7-6 = 1
Calculate the difference in the miles of Marty drove to the miles of Juan drove,
X = 150 ( Juan drove 150 more miles than Marty)
Equate the Difference between ratio and miles,
From the above values,
X = 150 miles
Step:2
From the ratio of Marty : Juan = 6 : 7
Distance drove by Marty,
= 6X = ( 6 × 150 ) = 900
Distance drove by Marty = 900 miles
Distance drove by Juan,
= 7X = ( 7 × 150 ) = 1050
Distance drove by Juan = 1050 miles
Step:3
Check for solution,
Difference in the miles of Marty drove to the miles of Juan drove
150 = 1050 - 900
150 = 150
Result:
The total miles are is 1950 miles. Marty drove 900 miles and Juan drove 1050 miles, if the ratio of the miles Marty drove to the miles Juan drove is 6 to 7. Juan drove 150 more miles than Marty
Line segment BA is tangent to the circle.
A circle is shown. Secant D B and tangent B A intersect at point B outside of the circle. Secant D B intersects the circle at point C. The length of A B is x, the length of B C is 55, and the length of C D is 120.
What is the length of line segment BA? Round to the nearest unit.
Answer:
Hence the length of line segment BA as 98 units
Step-by-step explanation:
Given:
BA as tangent to circle ,DB as secant which intersect at point C at circle
Length BC= 55 and CD=120
To Find:
Length of line segment AB.
Solution:
This follows the relationship between tangent and secant in circle terms as:
Consider as figure such that ,
AB as tangent , DB as secant C be point at circle
So secant total distance = DB=BC+CD =55+120=175
Using formula as ,
[tex]AB^2=BC(BC+CD)[/tex]
We have to find AB
Here BC=55 and CD=120
[tex]AB^2=55(120+55)[/tex]
[tex]AB^2=55(175)[/tex]
[tex]AB^2=9625[/tex]
[tex]AB=98.10[/tex]
So nearest unit for length will be 98
Hence the length of line segment BA as 98 units
Answer:
98 units
Step-by-step explanation:
edge
What is the ratio of the volume of Sphere A to the volume of Sphere B
Answer:1
Step-by-step explanation:
To find the ratio of the volume of sphere A to B
We get
A:B
V=4/3πr^3:4/3πr^3
4/3πr^3×3/4πr^3
Ratio of A to B
=1
Answer: 27
Step-by-step explanation:
NUMBER 10 PLS SOLVE
Answer:
D
Step-by-step explanation:
Answer:
Option C: Multiply 15 ft by 12 in/1 ft and 2.54 cm/1 in
Step-by-step explanation:
to convert feet to centimeter, we first convert to inches and from iches to centimeter
1 feet = 12 inches and 1 inches = 2.54 cm
∴ 15 feet = 180 inches and 180 inches = 457.2
This means to convert from feet to centimeter
Multiply 15 ft by 12 in/1 ft and 2.54 cm/1 in