After a 90% reduction, you purchase a new soft drink machine on sale for 72$. What was the original price of the soft drink machine?
A blue print for a building includes a rectangular room that measures 3 inches long and 5.5 inches wide. The scale for the blueprint says that 1 inch on the blueprint is equivalent to 10 feet in the actual building. What are the dimensions of this rectangular room in the actual building?
Answer:
Length= 30 feet, breadth = 55 feet.
Step-by-step explanation:
Length of building in blue print= 3 inches
Breadth of building in blue print= 5.5 inches
It is given that 1 inch on the blue print is equivalent to 10 feet in actual building
We have to convert the dimensions
So Length of building in blue print in feet= 3 inches= 3×10=30 feet
Breadth of building in blue print in feet= 5.5 inches= 5.5×10= 55 feet
Hence the correct answer is Length= 30 feet, breadth = 55 feet.
What is the solution to the inequality 2(x + 3) ≥ –10 – 4x? solve step by step, please.
What is the slope of this line?
Enter your answer in the box.
i need some help with solving inequalitys 9x-9 greater thab or equal to 2(8x-15)
math question down below
the solution to -5 m = -20 is negative true or false
Andrew lives 1.7 kilometers from soccer field. He rode his bike 0.9 of the distance to the field. How much farther does Andrew need to ride to reach the soccer field. Include an area model in your answer.
In 1924 the temperature in Fairfield Montana drop 63° to -21° in 12 hours. What was the average hourly change in temperature
The slope-intercept form of the equation of a line that passes through point (–3, 8) is y = –x + 6. What is the point-slope form of the equation for this line?
y – 3 = –(x + 8)y + 3 = –(x – 8)y + 8 = –(x – 3)y – 8 = –(x + 3)
Answer:
Option 4 - [tex]y-8=-(x+3)[/tex]
Step-by-step explanation:
The slope-intercept form of the equation of a line that passes through point (–3, 8) is [tex]y =-x+ 6[/tex].
The general form of slope intercept is [tex]y=mx+c[/tex]
where, m is the slope and c is the y-intercept.
On comparing,
m=-1 and c=6
The point slope form of the equation of a straight line is
[tex]y-y_1=m(x-x_1)[/tex]
Point is [tex](x_1,y_1)=(-3,8)[/tex]
Substitute the values,
[tex]y-8=-1(x-(-3))[/tex]
[tex]y-8=-(x+3)[/tex]
The point-slope form of the equation for this line is [tex]y-8=-(x+3)[/tex]
Therefore, Option 4 is correct.
which of these nonterminating decimals can be converted into a rational number? A 0.48907542... b 0.02020202... C 0.92589542... D 0.10203040...
Paul is painting a square wall with an area of 115 square feet. To the nearest foot, what is the length of the wall? Hint: A = s2.
11 **
29
42
58
Decimals B, C, and D can be converted into rational numbers as they have repeating patterns.
Explanation:A nonterminating decimal can be converted into a rational number if it is a repeating decimal. Among the given options, decimals B, C, and D can be converted into rational numbers because they have repeating patterns.
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the length of a rectangle is 2cm more than 5 times the width ,the perimeter is 196 cm,what is the width & length?
Roscoe rides his bike at least 10 miles but not more than 30 miles. He rides at an average rate of 10.5 miles per hour. The amount of time it takes for Roscoe to ride his bike m miles is represented by a function. t(m) = m/10.5 What is the practical domain of the function?
Answer:
all real numbers from 10 to 30, inclusive
Step-by-step explanation:
The practical domain of function is , Roscoe can ride his bike only from 10 miles to 30 miles.
Domain of function is defined as the set of input values for which the function is defined i.e. the set of its possible inputs,
The amount of time it takes for Roscoe to ride his bike m miles is represented by a function.
[tex]t(m) = m/10.5[/tex]
Where m represent, number of miles he can ride.
Above function is defined for every value of m . But in question it is mention that Roscoe rides his bike at least 10 miles but not more than 30 miles.
Therefore, Domain of function is from 10 miles to 30 miles.
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Write a real-word problem where you have to multiply 120 and 75.
Please help best answer will be marked as braniiest
In a cinema with 120 rows and 75 seats in each row, we can find the total number of seats by multiplying these two numbers together. This results in 9000 total seats.
Explanation:The subject of this question is related to a real-world mathematical problem. Suppose there is a cinema having 120 rows and each row consists of 75 seats. We want to find out the total number of seats in the cinema hall.
To solve this, we need to use multiplication. In mathematics, multiplication is one of the four elementary mathematical operations, with the other three being addition, subtraction, and division. By multiplying 120 (the number of rows) with 75 (the number of seats in each row), you can find out the total number of seats in the cinema hall.
So, 120 * 75 = 9000. Hence, there are 9000 seats in the cinema.
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Steven recorded the growth of a plant over 10 weeks for his science project. He made a graph that shows how much the plant grew each week. The plant was 2 in. tall when Steven started his project. At week 5, the plant was 8 in. tall.
Which equation represents Steven’s situation, where x is the number of weeks and y is the height of the plant?
A. y= 8/5x+2
B. y= 6/5x+2
C. y= 5/8x+2
D. y= 5/6x+2
Answer:
Answer is option B.
Step-by-step explanation:
Given information:
Assume the growth of plant is linear
When Steven started his project [tex](x_1=0)[/tex] , growth of plant is[tex](y_1=2 \rm in)[/tex]
At week 5,[tex](x_2=5)[/tex], growth of plant is [tex](y_2=8 \rm in)[/tex]
We know, equation of line is,
[tex](y-y_1)=m\times (x-x_1)[/tex],where [tex]m[/tex] is the slope of equation
[tex]m=\frac{y_2-y_1}{x_2-x_1} =\frac{8-2}{5-0}=\frac{6}{5}[/tex]
On substituting [tex]m[/tex],
[tex](y-2)=\frac{6}{5}\times (x-0)[/tex]
[tex]y=\frac{6}{5}x +2[/tex]
So, answer is option B.
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Simplify negative 2 over 3 ÷ negative 7 over 4.
a. negative 7 over 6
b. negative 8 over 21
c. 8 over 21
d. 7 over 6
Answer:
B 8/21
Step-by-step explanation:
Which state's ratification guaranteed the constitution's approval?
The area of a square is 49 cm. What is the length of one side
sophie is trying to see how thick her pile of paper is. She has 50 pieces of paper that are each 4.5×10^-4. How thick is the whole stack?
You and your friends decide to take a survey to try to convince mall managers to add a new store. You split up to survey parts A, B, and C of the mall. If you survey part B what percent of the will you survey
Yousef typed a 36-word paragraph in 2/3 minute. What is his typing speed, in words per minute? Enter your answer in the box.
we know that
Yousef typed a [tex]36[/tex]-word paragraph in [tex]2/3[/tex] minute
so
by proportion
Find the number of words typed in one minute
[tex]\frac{36}{(2/3)} \frac{words}{minutes} =\frac{x}{1} \frac{words}{minute}\\ \\x=36*\frac{3}{2}\\ \\x= 54\ words[/tex]
therefore
the answer is
Yousef typing speed, in words per minute is equal to
[tex]54\frac{words}{minute}[/tex]
The typing speed of Yousuf in words per minutes is [tex]54\;\rm words\;per\;minute[/tex].
Yousuf typed 36 words in [tex]\dfrac{2}{3}\;\rm minutes[/tex].
By Unitary method, calculate the speed of typing by Yousuf as-
[tex]\dfrac{2}{3} \;\rm minutes \rightarrow 36\;\rm words\\1\;\rm minute \rightarrow \dfrac{36}{(\frac{2}{3})}\;\rm words\\1\;\rm minute \rightarrow \dfrac{36\times 3}{2}\;\rm words\\1\;\rm minute \rightarrow 54\;\rm words[/tex]
Hence, the typing speed of Yousuf in words per minutes is [tex]54\;\rm words\;per\;minute[/tex].
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Find the percent of each number 350% of 96
How many times greater is 7,000 than 70
To find out how many times greater 7,000 is than 70, one needs to perform a division operation. In this case, it would be 7,000 divided by 70 which equals 100. Hence, 7,000 is 100 times greater than 70.
Explanation:To determine how many times greater 7,000 is than 70, one must use division. This is done by dividing 7,000 by 70. The equation would look like this: 7,000 ÷ 70. If you solve the equation, the answer is 100. Therefore, 7,000 is 100 times greater than 70.
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the volume of 10 000 drops of liquid is 1 fluid ounce. what is the volume of 1000
probabiltiy can be used to determine the likelihood of specific ---------------- ( a:games,b:occurrences,c:questions,d:opportunities
What is 9 divided by 261
Kelly has 3/4 of a pie left. She wants to slip the pie with 3 of her friends.How much pie will each person get?
Find the slope. Is it positive,negative,zero or undefined? Show your work. Y=-1/8x+12
Carmen has 18 connecting cubes. She wants to model a house shaped like a rectangle. If the model has a height of one connecting cube, how many different ways can Carmen model the house using all 18 connecting cubes?
To determine the number of ways Carmen can model the house using all 18 connecting cubes, considering them as distinguishable objects and applying permutations is essential.
Explanation:Carmen has 18 connecting cubes and wants to model a house shaped like a rectangle with a height of one connecting cube. To find the number of ways to model the house using all 18 cubes, we can approach it using combinatorics. One way to visualize this is by considering the cubes as distinguishable objects and applying permutations.
One approach could involve fixing the base of the rectangle, which will have a length of 16 cubes, leaving 2 cubes for the width. The 2 remaining cubes can be placed in 2! = 2 ways. So, the total number of ways to model the house would be 16!×2.
Answer:
There are 3 ways.
Step-by-step explanation:
Let each cube be 1 cm on the side.
The volume of each cube is 1 cm³.
volume = length × width × height
We are told the height is 1.
The volume is 18 cubes, so volume = 18 cm³.
length × width × height = 18 cm³
length × width × 1 cm = 18 cm³
length × width = 18 cm³
There are 3 ways to factor 18 into integer factors:
1, 18
2, 9
3, 6
Carmen can make the model 18 cubes long by 1 cube wide,
or 9 cubes long by 2 cubes wide, or 6 cubes long by 3 cubes wide.
Answer: There are 3 ways.
Selena babysit on the weekends. The equation is Y equals 13x represents the amount of money she earns. What is the constant of proportionality