A tabletop in the shape of a trapezoid has an area of 5,658 square centimeters. Its longer base measures 119 centimeters, and the shorter base is 65 centimeters. What is the height?
The height of the tabletop is
centimeters.
2/3x+1/3y=2 in graph
Solve for y:
[tex]\dfrac{2}{3}x+\dfrac{1}{3}y=2\ \ \ \ |\cdot3\\\\2x+y=6\ \ \ \ |-2x\\\\y=-2x+6[/tex]
It's the slope intercept form of a straight line.
We need only two points to draw a straight line.
[tex]for\ x=0\to y=-2(0)+6=0+6=6\to(0;\ 6)\\for\ x=3\to y=-2(3)+6=-6+6=0\to(3;\ 0)[/tex]
Look at the picture.
The youth center has another mural painted inside the building. If the original painting is 3 feet by 2 feet, and the mural is 15 feet by 10 feet, what is the scale comparing the painting to the mural?
a) 3ft:10ft
b) 1ft:5ft
c) 1ft:3ft
d) 2ft:15ft
Tracy is making blueberry muffins.she is using 4/4 cup of honey and 4/2 of floyr.Does Tracy use more honey or more flour?
A baseball player got 10 hits in 39 times at bat. What percent of his times at bat did he get a hit? (Round to the nearest percent.)
Find the value of x. Round to the nearest tenth of a unit. Both 9 and 10 please.
Answer:
1A
2D
3D
4A&D
5D
6C
7A
8C
9C
10A
What is the rule being applied to the x value to find the y value? Write your answer in an equation.
If Dawn can buy 5 pounds of apples for $12.45, how many pounds can she buy for $1.00? Express your answer as a decimal and round to the nearest tenth of a pound.
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Dawn can buy 5 pounds of apples for $12.45
We have to find how many pounds can she buy for $1.00
Now cost price for 5 pounds = $12.45
In $12.45 , Dawn can buy 5 pounds of apple
So, In $ 1 , Dawn can buy 5/12.5 pound of apple
= 0.4 pound of apple
Therefore dawn can buy 0.4 pound of apple for $1.00
Hope this helps..!!
Thank you :)
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Help...T-T
Answer:
yea
Step-by-step explanation:
Answer:
We cant see anything
Step-by-step explanation:
need help again asapp
A bicyclist started on his trip from city A to city B. In 1 hour and 36 minutes, a biker also left A and headed towards B, and he arrived there at the same time as the bicyclist. Find the speed of the bicyclist if it is less than the speed of the biker by 32 km/hour, and the distance between the two cities is 52 km.
A number increases from 30 to 45 and then decreases from 45 to 36. What is the difference between the percent of increase and the percent of decrease?
Answer:
30%
Step-by-step explanation:
The increase was 15/30 = 50%,
The decrease was 9/45 = 20%.
50% - 20% = 30%
a person walking along a straight road observes that at two consecutive kilometer stones, the angles of elevation of a hill in front of him are 30degree and 45 degree find the height of the hill
a gym has 275 members 40% are bronze members 28% are silver members the rest are good work out the gold members
The table shows the amounts of two ingredients Tara used to make a snack mix. She ate 5/8 cup of the snack mix for lunch. How much of the mix is left? Show how you solved.
In this exercise we have to use the knowledge of division, that is, how much is left of a certain food that is found in terms of fraction, in this way we can say that:
[tex]3/8[/tex] left.
So to calculate this exercise, we have to use the total amount minus the amount eaten to find what's left, so we have to:
[tex]8/8-5/8=3/8[/tex]
See more about fraction at brainly.com/question/1301963
**PLEASE HELP ASAP** Betsy is analyzing a quadratic function f(x) and a linear function g(x). Will they intersect?
Yes, at positive x-coordinates
Yes, at negative x-coordinates
Yes, at negative and positive x-coordinates
No, they will not intersect
Answer:
C. Yes, at negative and positive x-coordinates
Step-by-step explanation:
I got it right on the test.
Hope this helps :)
Help me on the first question pls
what is f(t) = 2t-3?
solve for f(7)
Problem -
Gretchen is setting up for a banquet. She has 300 chairs and needs to distribute them evenly among t tables.
How many chairs should she put at each table?
Write your answer as an expression.
Answer:
The expression is 300÷t.
Step-by-step explanation:
Number of chairs Gretchen has = 300.
Number of tables Gretchen has = t.
It is given that the chairs are evenly distributed among the given number of tables that is each table will have the equal number of chairs.
The number of chairs she should put can be found by the expression 300÷t.
Gretchen should distribute 300 chairs evenly across t tables, which is represented by the expression 300 / t, where t is the number of tables.
Explanation:To solve the problem of how many chairs Gretchen should put at each table, we need to distribute the total number of chairs evenly among the tables. The expression for this will be:
Chairs per table = Total number of chairs / Number of tables
In Gretchen's case, she has a total of 300 chairs that need to be distributed evenly. Therefore, the expression is:
Chairs per table = 300 / t
Here, t represents the total number of tables. We do not know the exact number of tables, as it is not provided in the question, so we use t as a variable to represent this unknown value.
Well Basically, it’s kinda a struggle to understand this math your explaining:(
Well, 3/6 = 8/?
1. The net of the 3D shape below are the blueprints of a tent that’s going to be made. Use this to answer questions (a) and (b) below.
(A) What’s the name of the 3D shape this net represents? (For example, square prism, rectangular prism, triangular prism, cube, rectangular pyramid, triangular pyramid, square pyramid…). Write your answer below
(b) What’s the surface area of this tent? Show all work and write your answer below.
thank you I know it is a lot of question but thank you
What geometric term describes a corner f a living room
explain how you can find a fraction that is equivalent to 1/4
A farmer charges for his coffee beans using the equation C=3.95p, where C is the cost of the coffee beans and p is the number of pound of coffee beans. What is the slope?
How can you use mental math to find the percent of a number?
The base of a 15-ft ladder is 5 ft away from a wall. How high from the floor is the top of the ladder?
Tell whether the statement below is always, sometimes, or never true. Equation like, a + 4 = 8 and 4 - m = 2 have exactly one solution.
Final answer:
The statement that equations 'a + 4 = 8' and '4 - m = 2' have exactly one solution is always true, as these are linear equations with one variable. Such equations normally have a unique solution when they are not degenerate.
Explanation:
The statement 'Equations like a + 4 = 8 and 4 - m = 2 have exactly one solution' is always true. For the equation a + 4 = 8, there exists one and only one number a such that when you add 4 to it, you get 8.
Similarly, for 4 - m = 2, there is exactly one solution for m that makes the equation true. These are examples of linear equations with one variable, which have a unique solution assuming they are not degenerate (such as an equation like 0x = 0 which has infinitely many solutions).
In general, if a and b are two given numbers, there exists one and only one number x, and also one and only one number y, such that a+x=b, and y+ a = b respectively.
This principle follows from the property of numbers where there exists a definite number, called 0, such that for every number a, we have a + 0 = a and 0 + a = a. Equations are statements of truth, like √4=±2 which indicates a solution set of {-2, 2} for the equation x² = 4.
randy bought 6 candy bars for $8.28 what is the cost per candy bar?
Elizabeth can run 3/4 mile in 1/10 of an hour. What is her speed in miles per hour?
Final answer:
Elizabeth's speed in miles per hour is calculated using the formula for speed, which is distance divided by time. By setting up the proportion with the given numbers, it's determined that Elizabeth runs at a speed of 7.5 miles per hour.
Explanation:
To calculate Elizabeth's speed in miles per hour, we need to use the information that 3/4 mile is covered in 1/10 of an hour and then find out how many miles would be covered in one full hour. To do this, we set up a proportion where the distance (miles) is divided by the time(hours).
The formula for finding speed is:
Speed = Distance / Time
Using the given numbers:
Speed = (3/4) miles / (1/10) hour
By performing the division, we get:
Speed = (3/4) × (10/1) miles/hour
Speed = (30/4) miles/hour
Speed = 7.5 miles/hour
Therefore, Elizabeth runs at a speed of 7.5 miles per hour.
The sum of digits in a two-digit number is 14. If you double the reversed number and add the result to the original number, the sum would be 222. Find the original number.
The original two-digit number is 86. We determined this through solving a system of equations where the sum of the digits is 14 and doubling the reversed number before adding it to the original number equals 222.
Explanation:The student is given a mathematical problem involving a two-digit number. First, we are told that the sum of the digits of the number is 14. Let's assume that the number is made up of digits a and b, where a is the tens digit and b is the ones digit. Therefore, our number can be represented as 10a + b and the reversed number as 10b + a.
According to the given information:
a + b = 14 (the sum of the digits)(2 × (10b + a)) + (10a + b) = 222 (double the reversed number added to the original gives 222)Writing the second equation in standard form gives us 20b + 2a + 10a + b = 222, which simplifies to 21b + 12a = 222. Using the first equation, we can substitute the value of b as (14 - a) into the second equation, resulting in 21(14 - a) + 12a = 222. Solving for 'a' gives us a value of 8, and consequently, b equals 6. Therefore, the original number is 86.
The original number is 86.
Explanation:To find the original number, let's assume the tens digit as 'x' and the units digit as 'y'. So, the original number can be written as 10x + y.
According to the question, we have two equations:
Equation 1: x + y = 14 (The sum of digits is 14)
Equation 2: (10y + x) + 2(10x + y) = 222 (Double the reversed number and add it to the original number is 222)
Simplifying Equation 2, we get: 12x + 21y = 222
We can now solve the system of equations by substituting the value of 'x' from Equation 1 into Equation 2:
12(14 - y) + 21y = 222
Simplifying further, we get:
168 - 12y + 21y = 222
Combining the 'y' terms, we get:
9y = 54
Dividing both sides by 9, we get:
y = 6
Substituting the value of 'y' into Equation 1, we get:
x + 6 = 14
Subtracting 6 from both sides, we get:
x = 8
Therefore, the original number is 10x + y = 10(8) + 6 = 86.