Answer:
It's 13.0
Step-by-step explanation:
The perimeter of a rectangle is 80x. The base is two times the height. In terms of x, what are the dimensions of the rectangle?
a.
h = 10x; b = 10x
c.
h = 10.3x, b = 20.6x
b.
h = 13.3x; b = 26.6x
d.
h = 5x; b = 25x
Need help with 3 and 4.
If a + 4b = 33 and 6a + 3b = 51, what is the value of a + b?
(I got 5 but it was wrong)
Answer:
12
Step-by-step explanation:
Since the problem asks for $a+b$, we look for a way to isolate $a+b$ from the given equations.
Notice that $a + 6a = 7a$ and $4b + 3b = 7b$. This gives us the key to isolating $a + b$. We simply add the two equations together:\begin{align*}
7a + 7b &= 84 \\
7(a + b) &= 84 \\
a + b &= \frac{84}{7} \\
a + b &= \boxed{12}
\end{align*}
Michael’s grandmother made two pies for Thanksgiving, a sweet potato pie and a chocolate pie. Each pie had 8 slices. All of the sweet potato pie and 2 slices of the chocolate pie were eaten. How much pie did Michael’s family eat on Thanksgiving? A) 5 8 pie B) 10 16 pie C) 1 1 4 pies Eliminate D) 1 3 8 pies
What must be done before adding or subtracting fractions
Dave walked a distance of 40 meters to the north. It took him 50 seconds. What was his velocity?
A. 1.25 m/s north
B. 5 m/s north
C. 4 m/s north
D. 0.8 m/s north
The hardcover version of a book weighs 7 ounces while its paperback version weighs 5 ounces. Forty-five copies of the book weigh a total of 249 ounces. Which value could replace x in the table?
Solving the system of linear equations, we found that there are 12 hardcover books and 33 paperback books, making the value that could replace 'x' is 12.
The question involves solving a system of linear equations to find the number of hardcover and paperback versions of a book that together weigh 249 ounces. Since the hardcover version weighs 7 ounces and the paperback weighs 5 ounces, we can create two equations based on the given information. If we let x represent the number of hardcover books and y represent the number of paperback books, the equations would be:
x + y = 45 (since there are 45 copies in total)
7x + 5y = 249 (since the total weight is 249 ounces)
Solving this system, we can multiply the first equation by 5, which gives us 5x + 5y = 225, and subtract this from the second equation to find the value of x. This yields 2x = 24, so x = 12. Therefore, there are 12 hardcover books and the rest are paperbacks. To find the number of paperbacks, we substitute x back into the first equation and get 12 + y = 45, which means y = 33. Hence, the number that could replace x in the table is 12.
Pepper’s dog pen measures 4 meters wide and has an area of 20 square meters. What is the perimeter of the pen in meters?
The graph below shows a line segment PQ:
Graph of line segment PQ with endpoints at negative 2 comma 1 and 4 comma 4
What is the slope of the line segment PQ?
−2
−1 over 2
1 over 2
2
The absolute ______ of 2 is 2.
1.) absolute value
2.)sign
3.)opposite
which relation is a function?
2. PB and J Array Ken has made a selection of square jam sandwiches for party, which he arranges in a single layer on the table in perfect rectangle. Sarah has brought along the same number of square peanut butter sandwiches, which she puts out, also as a single layer, to form a border vA (one sandwich wide) around Ken's Given that all of the sandwiches are the same size and they are all used, how many sandwiches could each person possibly have made?
Let's assume Ken arranged his sandwiches in a rectangular shape with length 'L' and width 'W'. Now Sarah arranged her sandwiches to form a border around Ken's rectangle. The solution diagram is attached below.
Ken needs as much sandwiches as area of rectangle i.e. number of Ken's sandwiches would be = LW.
It is clear that Sarah needs as much sandwiches as perimeter of rectangle and extra four sandwiches to put on corners. It means number of Sarah's sandwiches would be = 2·(L+W) + 4.
Given that all of the sandwiches are the same size and they are all used.
Ken and Sarah bought same number of sandwiches. So we need to solve the following equation :-
Number of Ken's sandwiches = Number of Sarah's sandwiches
LW = 2·(L+W) + 4
Using trial and error approach, we get 6 x 4 = 2 x (6 + 4) + 4.
So number of Ken's sandwiches would be LW = 6 x 4 = 24 sandwiches.
Hence, final answer is "Each person could have 24 sandwiches".
George has to pay $30 in taxes for every $100 that he earns .Last summer he earned $3,680. How much did he pay in taxes
if you pay $8.50 per square yard of carpeting,what is your total cost for 27.5 square yards?
What do I put? I am having so much trouble with this.
How do I graph this ?
Rick shared his bag of grapes with his friends. He gave 2/10 of the bag to Melissa and 4/10 of the bag to Ryan. What fraction of the bag of grapes does Rick have left?
After giving away 2/10 of his grapes to Melissa and 4/10 to Ryan, Rick has 4/10 of his bag of grapes left.
Explanation:Rick gave away part of his bag of grapes to his friends: 2/10 to Melissa and 4/10 to Ryan. To find out what fraction of the bag he has left, we need to add together the fractions that he gave away and then subtract this from the whole bag, which is represented by the fraction 1 (or 10/10).
Rick gave away:
Melissa: 2/10
Ryan: 4/10
Total given away: 2/10 + 4/10 = 6/10
Fraction of the bag Rick has left:
1 (or 10/10) - 6/10 = 4/10
Therefore, Rick has 4/10 of the bag of grapes left after sharing with his friends.
To find out how much of the bag of grapes Rick has left, we need to subtract the fractions that he gave to Melissa and Ryan from 1. Rick has 2/5 of the bag of grapes left.
Explanation:To find out how much of the bag of grapes Rick has left, we need to subtract the fractions that he gave to Melissa and Ryan from 1.
Given that Rick gave 2/10 of the bag to Melissa and 4/10 of the bag to Ryan, we can calculate the fraction of the bag he has left by subtracting these two fractions from 1:
1 - 2/10 - 4/10 = 1 - 6/10 = 4/10 = 2/5
Therefore, Rick has 2/5 of the bag of grapes left.
6TH GRADE MATH
someone please solve this
Gracie read 150 pages of a book she got for her birthday the book is 227 pages long whats the right equation
Can you tell me how to do this?
morris rarely arrives home before 4:00 p.m. it is now 3:20 p.m. estimate the probability that morris will arrive home in the next 30 minutes
graph the line whose x-intercept is -8 and whose y-intercept is 9
The graph of the line whose y intercept is 8 and whose x intercept is 9 is given below.
What are intercepts?The points where a line crosses an axis are known as the x-intercept and the y-intercept, respectively.
Given:
An intercept form of the standard line is,
x/a + y/b = 1, where a and b are x-intercept and y-intercept form of the line.
So, the equation is,
x/-8 + y/9 = 1
And the graph is given in the attached image.
Therefore, the graph is given.
To learn more about the intercepts;
https://brainly.com/question/14180189
#SPJ2
y-2y8y-6 is equivalent to:
Can someone help me please and thank you
Please help me I don't know this
Two angles are complementary. If one angle measures 32 degrees, what is the measure of the second angle?
Select one:
A. 48 degrees
B. 148 degrees
C. 58 degrees
D. 68 degrees
Two angles are complementary if they add up to 90 degrees. If one angle measures 32 degrees, the other angle measures 58 degrees, which is found by subtracting 32 from 90.
Explanation:The question is asking about complementary angles, which are two angles that add up to 90 degrees. If one angle measures 32 degrees, we can find the measure of the second angle by subtracting 32 degrees from 90 degrees since the two angles must sum to 90 degrees.
The calculation would be: 90 degrees - 32 degrees = 58 degrees.
Therefore, the measure of the second angle is 58 degrees, making the correct answer:
C. 58 degrees
What are three rational numbers between 0.2 and 0.3 (one must be a fraction)?
Bill pays $49 for an item after it has been discounted 30%. What was the original price of the item?
If you can buy one can of pineapple chunks for $2 then how many can you buy with $10
two attendants earn $6240 and $6220 per annum, respectively, exclusive of a bonus of $2640 per annum.
if both have a pension deduction of 20%,the difference in the pension deduction of the two attendants on a semimonthly basis is..........?