Answer:
55 ≤ 3.5x + 15
Step-by-step explanation:
Missing Inequality.
Given that:
Josh has a reward card for movie theater.
He receives 15 points for becoming a rewards card holder.
He earns 3.5 points for each visit to the movie theater.
He needs at least 55 points to earn a free movie ticket.
To Find:
Which inequality can Josh use to determine x, the minimum number of visits he needs to earn his first free movie ticket?
Solution:
From the given we know that:
Points Josh received for becoming a member = 15
Points Josh received for visiting the moving theater = 3.5
Total points needed for a free movie ticket = 55
Note that:
< = Less than
> = Greater than
≤ = Less than or equal to
≥ = Greater than or equal to
Thus, We know that Josh need to get less than or equal to 55.
Therefore, we use this sign ≤
Since we know that we need to get less than or equal to 55 then
we get
55 ≤ 3.5x + 15.
Hence, the inequality that Josh can use to determine x, the minimum number of visits he needs to earn his first free movie tickets is:
55 ≤ 3.5x + 15
Kavinsky
In a computer game whenever you shoot a dragon you get 12 points, but when you miss then you lose 4 points. After 100 shots you have 224 points. How many times have you hit a dragon
Answer:
39
Step-by-step explanation:
Let h: hit
Let n: not hit
1) We can create two equations and solve them simultaneously using the substitution method or elimination.
h + n = 100
12h - 4n = 224
2) Solve them. I will demonstrate using the substitution method.
n = 100 - h
-----------------------
12h - 4(100 - h) = 224
12h - 400 + 4h = 224
16h = 224 + 400
16h = 624
h = 624/16
h = 39
3) Substitute the result into one of the equations above.
n = 100 - 39
n = 61
Since the question wants you to write the number of times the dragon was hit, the answer is 39.
The parallel sides of a Trapezium are 77 and 60 and its non parallel sides are 26 and 25 m find the area of trapezium
PLEASE GIVE FULL METHOD
Answer:
Area of Trapezium=1/2h(L1+L2)
I think it will help you
I really hate maths :(
In one year a dog’s weight increased from 64 to 80. By what percentage did the dogs weight increase?
Which expression is equivalent to startfraction c squared minus 4 over c 3 endfraction divided by startfraction c 2 over 3 (c squared minus 9) endfraction? startfraction c 3 over c squared minus 4 endfraction times startfraction c 2 over 3 (c squared minus 9) endfraction startfraction c squared minus 4 over c 3 endfraction divided by startfraction 3 (c squared minus 9) over c 2 endfraction startfraction c squared minus 4 over c 3 endfraction times startfraction 3 (c squared minus 9) over c 2 endfraction startfraction c squared minus 4 over c 3 endfraction times startfraction c 2 over 3 (c squared minus 9) endfraction
The options have not been given but three correct alternatives have been presented as the solution.
We have given,
[tex]\frac{c^2-4}{c+3} /\frac{c+2}{3(c^2-9)}[/tex]
Applying the rule a^2-b^2 to the numerator of the first term and the denominator of the second term,
What is the rule of a^2-b^2?[tex](a^2-b^2)=(a-b)(a+b)[/tex]
By applying the above formula we have:
[tex]=\frac{c^2-2^2}{c+3} /\frac{c+2}{3((c+3)(c-3)}[/tex]
[tex]=\frac{(c-2)(c+2)}{c+3} /\frac{c+2}{3((c+3)(c-3)}[/tex]
Therefore the solution is,
[tex]=(c-2) \times 3(c-3)\\\\=3(c^2-5c+6)\\\\=3c^2-15c+18[/tex]
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Answer:
C.) StartFraction c squared minus 4 Over c + 3 EndFraction times StartFraction 3 (c squared minus 9) Over c + 2 EndFraction"/>
Step-by-step explanation:
Which expression is equivalent to StartFraction c squared minus 4 Over c + 3 EndFraction divided by StartFraction c + 2 Over 3 (c squared minus 9) EndFraction?
StartFraction c + 3 Over c squared minus 4 EndFraction times StartFraction c + 2 Over 3 (c squared minus 9) EndFraction
StartFraction c squared minus 4 Over c + 3 EndFraction divided by StartFraction 3 (c squared minus 9) Over c + 2 EndFraction
StartFraction c squared minus 4 Over c + 3 EndFraction times StartFraction 3 (c squared minus 9) Over c + 2 EndFraction
StartFraction c squared minus 4 Over c + 3 EndFraction times StartFraction c + 2 Over 3 (c squared minus 9) EndFraction
A rectangular prism with a volume of 400 cubic centimeters has the dimensions x 1 centimeters, 2x centimeters, and x 6 centimeters. the equation 2 x cubed 14 x squared 12 x = 400 can be used to find x. what is the length of the longest side? use a graphing calculator and a system of equations to find the answer. 4 centimeters 5 centimeters 8 centimeters 10 centimeters
A rectangular prism with a volume of 400 cubic centimeters has dimensions of 5 cm, 8 cm, and 10 cm with the value of x being 4.
What is the volume of the rectangular prism?The volume of the rectangular prism is the product of the length, breadth, and height of the given prism.
Volume of rectangular prism = (length x width x height)
A rectangular prism with a volume of 400 cubic centimeters has the dimensions x + 1 centimeter, 2x centimeters, and x + 6 centimeters.
Volume of rectangular prism = (length x width x height)
400 cm³ =( x + 1 )(2x)(x + 6 )
400 cm³ =( x + 1 )(2x)(x + 6 )
Substitute 4cm as the value of x.
x + 1 centimeters = 4 cm + 1 cm = 5 cm
2x centimeters = 2 ( 4cm) = 8 cm
x + 6 centimeters = 4 cm + 6 cm = 10 cm
Volume of rectangular prism = 10 cm × 5 cm × 8 cm
= 400 cm³
Thus, the given rectangular prism of 400 cubic centimeters has dimensions of 5 cm, 8 cm, and 10 cm.
Learn more about rectangular prism;
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Answer:
Step-by-step explanation:
its 10
The equation p(h)=5,000 • 2^h represents a bacteria population as a function of time in hours.
Check the picture below.
[tex]p(h)=5000(2)^h\implies \stackrel{p(h)}{100000}~~ = ~~5000(2)^h\implies \cfrac{100000}{5000}=2^h \\\\\\ 20=2^h\implies \log(20)=\log(2^h)\implies \log(20)=h\log(2) \\\\\\ \stackrel{\textit{using the \underline{change of base rule}}}{\cfrac{\log(20)}{\log(2)}=h\implies \log_2(20)=h}\implies 4.3219\approx h[/tex]
Find the area of the figure.
A: 114 cm2
B: 350 cm2
C: 418 cm2
D: 447 cm2
Answer:
The answer is C. 418cm2
Step-by-step explanation:
18. 54 grams of a certain brand of breakfast cereal contain 190 calories. Let g
represent grams of cereal and c represent calories. Identify the type of variation,
find the constant, and write an equation to represent the relationship between
grams and calories.
Answer:
The relation is c = 3.519g.
Step-by-step explanation:
This is direct variation.
c = kg where k is the constant of variation.
Substituting the given values:
190 = k * 54
so the constant of variation is:
k = 190/54 = 3.519 to nearest thousandth,
and the equation is:
c = 3.519g.
its 8th grade math i did not pay attention
Answer:
a = 11
Step-by-step explanation:
Using the Pythagorean Theorem:
[tex] {a}^{2} + {26.4}^{2} = {28.6}^{2} [/tex]
[tex] {a}^{2} + 696.96 = 817.96[/tex]
[tex] {a}^{2} = 121[/tex]
[tex]a = 11[/tex]
The hands of clock form a 120° angle. What time is it? A. 2:00 B. 4:00 C. 6:00 D. 9:00
Answer:
4
Step-by-step explanation:
360 degrees in a circle /12 numbers on clock= 30 degrees for each number 120/30=4
Brian is participating in a hotdog eating contest. There are 145 hotdogs on his plate and he will have 8 minutes to eat as many as he can. If he eats 12 hotdogs per minute, how many hotdogs will he have left over?
Answer:
49
Step-by-step explanation:
12 hotdogs per min × 8 minutes = 96
145-96= 49
So he will have 49 hotdogs left.
What are the solutions to log subscript 6 baseline (x squared 8) = 1 log subscript 6 baseline (x)
The antilog provides the solution to the logarithmic equation. Then x has values of 2 and 4.
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The logarithmic equation is given below.
[tex]\log _6(x^{2} +8)= 1+ \log _6x\\\\\log _6(x^{2} +8)= \log_66+ \log _6x\\\\\log _6(x^{2} +8)= \log _66x\\[/tex]
Take antilog, then we have
[tex]\begin{aligned} x^{2} +8 &= 6x\\\\x^2 -6x + 8 &= 0\\\\x^2 -4x - 2x +8 &=0\\\\(x-4)(x-2) &= 0\\\\x&= 2, 4\end{aligned}[/tex]
Then the value of the x is 2 and 4.
More about the factorization link is given below.
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I need to know what it is
Answer:
1. C 3 1/8
2. A 3
Step-by-step explanation:
Which triangles are similar?
A. Triangles A and B
B. Triangles A, B, and C
C. Triangles A and C
D. Triangles B and C
Answer:
D. Triangles B and C
Step-by-step explanation:
When we look to Triangles B & C :-
37° = 37°
53° = 53°
90° = 90°
Therefore, both Triangles B and C are similar.
Answer:
D. Triangles B and C
Step-by-step explanation:
whats the answer to
2.4=-t/45
How many classes are there in the frequency distribution table that has 50 raw data?
Answer:
A frequency distribution is a table that shows “classes” or “intervals” of data entries with a count of the number of entries in each class.
Step-by-step explanation:
hope this helps you a little!
Please help, will give brainest
Find the area
15 in
10 in
Answer:
The area of the figure is 385.5 in²
Step-by-step explanation:
The area of the figure = area of hemisphere + area of rectangle
Radius of hemisphere = 10/2 = 5 in
=> 3πr² + length × breadth
=> { 3×(3.14) × 5 × 5} + { 15 × 10 }
=> { 9.42 × 25 } + { 150 }
=> 235.5 + 150
=> 385.5 in²
Colorado is roughly shaped like a rectangle. The state is about 6.12 x 105 m long and 4.5 x 105 m wide. Wyoming has an area of about 2.6 x 1011 m2. What is the estimated difference of area between the two states? Write your answer using scientific notation. Show your work.
The estimated difference of the area of Colorado and Wyoming in scienfic notation is 2 x [tex]10^{-1}[/tex]m².
What is the difference in the area of the states?Scienfic notation is used in expressing large numbers in smaller numbers. In order to write a number in stscienfic notation, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.
Area of Colorado = (6.12 x [tex]10^{5}[/tex]) x (4.5 x [tex]10^{5}[/tex]) = 27.54 x [tex]10^{10}[/tex]
= 2.8 x [tex]10^{11}[/tex]m²
Difference in the areas = 2.8 x [tex]10^{11}[/tex]m² - 2.6 x x [tex]10^{11}[/tex]m² = 0.2m²
= 2 x [tex]10^{-1}[/tex]m²
To learn more about scienfic notation, please check: https://brainly.com/question/25334755
:)
25 point math problem
Answer:
B
Step-by-step explanation:
Inverse is opposite. So, domain becomes range and range becomes domain
x<2 of domain becomes y<2 for range
y>0 of range becomes x>0 of domain
A school district planted maple trees and oak trees to make a school forest. The district planted 504 trees altogether. The district planted 11 times as many maple trees as oak trees.
How many maple trees did the school district plant?
Answer:
Number of maple trees planted = 462
Step-by-step explanation:
Let the number of oak trees planted be x.
Given,
The number of maple trees is 11 times the number of oak trees.
Therefore,
Number of maple trees planted = 11 * x = 11x
Total number of trees planted = Number of oak trees planted + Number of maple trees planted
504 = x + 11x
504 = 12x
x = 504/12 = 42
Number of oak trees planted = x = 42
Number of maple trees planted = 11x = 11 * 42 = 462
a pool is leaking water at a constant rate. The amount of water in the pool changes by -1 1/4 every hour. what is the total change in the water after 2 1/2 hours
The total change in the water in the pool after 2 1/2 hours given the rate of leakage is -3 1/8,
What are fractions?A fraction is a non-integer. It is made up of numerators and denominators. A mixed fraction is made up of a whole number and a proper fraction. An example is 2 1/2.
What is the total change in the water?The total change in the water = -1 1/4 x 2 1/2
= -5/4 x 5/2 = -25/8 = -3 1/8
To learn more about multiplication of fractions, please check: brainly.com/question/1114498
Which dog pens have the same perimeter?
Answer:
Problem 4: Dog pens 2 and 3
Problem 5: Dog Pens 1 and 2
Problem 6: 6cm and 6cm
problem 7: A
Step-by-step explanation:
PLEASEEEE HELPPPPP A flying disk is thrown into the air from a height of 25 feet at time t=0. The function that models this situation is h(t) = -16t2 + 75t + 25, where t is measured in seconds and h is the height in feet. Which values best describe the domain of the function in the context of the problem?
A. 0 ≤ t ≤ 5
B. 0 ≤ t ≤ 25
C. All real numbers
D. All positive integers
Answer:
A)
Step-by-step explanation:
Given function:
[tex]h(t)=-16t^2+75t+25[/tex]
The domain (input values) will be the x-intercepts, so the values of t when h(t) = 0.
The quickest way to find these is to use the quadratic formula.
Quadratic Formula
[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when}\:ax^2+bx+c=0[/tex]
[tex]\implies t=\dfrac{-75 \pm \sqrt{75^2-4(-16)(25)} }{2(-16)}[/tex]
[tex]\implies t=\dfrac{-75 \pm \sqrt{7225}}{-32}[/tex]
[tex]\implies t=\dfrac{75 \pm 85}{32}[/tex]
[tex]\implies t=5, t=-\dfrac{5}{16}[/tex]
Time cannot be negative.
When h(t) = 0, the disk will hit the floor.
Therefore, the domain is restricted to 0 ≤ t ≤ 5
Please hurry!!!
A total surface area of all land on Earth is approximately 6.0x10^7 square miles. Land covers approximately 0.3 of the entire surface of Earth. Which number is closest to the approximate total surface area, in square miles, of Earth?
Answer: 1.8 X 10^8
Step-by-step explanation: 6.0 X 10^7 times .3 = 1.8 X 10^8
Please Help! Locks in an hour! Will give brainlest!
Answer:
1/4
Step-by-step explanation:
Amplitude is equal the A part of the function which is 1/4.
im trying to get htis one right i dont get it
Answer:
I'd love to help, but I need the full question first!!!
The difference between three times an angle's measure and its complement is 46. Find the measure of the angle
Answer:
Step-by-step explanation:
Equation
Let the angles measure = x
Let the complimentary angle = 90 - x
3x - (90 - x) = 46 Remove the brackets
Solution
3x - 90 + x = 56 Combine like terms on the left
4x - 90 = 56 Add 90 to both sides
4x - 90 +90 = 56 + 90 Combine
4x = 146 Divide by 4
4x/4 = 146/4
x = 36.5
Answer
The given angle is 36.5
Which shows one way to determine the factors of x3 11x2 – 3x – 33 by grouping? x2(x 11) 3(x – 11) x2(x – 11) – 3(x – 11) x2(x 11) 3(x 11) x2(x 11) – 3(x 11)
The one way to determine factors of x³ + 11x² – 3x – 33 will be [tex]x^2(x+11)-3(x+11)_[/tex].
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The steps involved in the factorization are;
1. For each pair of parentheses, we create a common factor.
2. We use x2 as a common factor for the first parenthesis.
3. We use common factor 3 for the second parenthesis.
[tex]x^3 + 11x^2 - 3x -33 \\\\ x^2(x+11)-3(x+11)_[/tex]
We will find the final solution as [tex]x^2(x+11)-3(x+11)_[/tex].
Hence the one way to determine factors of x³ + 11x² – 3x – 33 will be [tex]x^2(x+11)-3(x+11)_[/tex].
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