Answer:
The required model is [tex]3.5y+2.25y=345[/tex]
60 pounds of concrete each bag make.
Step-by-step explanation:
Consider the provided information.
Let the number of concrete bags are used is represented by y.
Part (A)
3.5 bags of concrete mix for a new set of stairs and 2.25 bags of concrete mix for a garden wall.
This can be written as:
[tex]3.5y+2.25y[/tex]
Timothy mixed 345 pounds of concrete in all.
Therefore, [tex]3.5y+2.25y=345[/tex]
Hence, the required model is [tex]3.5y+2.25y=345[/tex]
Part (B) Solve for y. How many pounds of concrete does each bag make?
Consider the above equation.
[tex]3.5y+2.25y=345[/tex]
Solve the equation for y as shown.
Add the like terms.
[tex]5.75y=345[/tex]
Divide both the sides by 5.75
[tex]y=60[/tex]
Hence, 60 pounds of concrete each bag make.
The slope of a line is –2 and its y-intercept is (0, 3). What is the equation of the line that is parallel to the first line and passes through (2, 2)? A. 2x + y = 6 B. y = –2x + 3 C. 2003-10-03-00-00_files/i0060000.jpg D. y = –2x – 6
Answer:
The answer is A) 2x + y = 6
Step-by-step explanation:
Since the first line has a slope of -2, we know that the second does as well. We know this because parallel lines have the same slope. Now we can use that slope along with the point in point-slope form to get the equation.
y - y1 = m(x - x1)
y - 2 = -2(x - 2)
y - 2 = -2x + 4
y = -2x + 6
In this case, to find an equation that is similar, we could put it into standard for.
y = -2x + 6
2x + y = 6
This is answer A
I need help with this question.
Which inequality is graphed below?
3x + 2y < –6
3x + 2y > –6
3x – 2y > 6
3x – 2y < 6
Answer:
3x - 2y > 6
C is correct
Step-by-step explanation:
We are given a graph of inequality function and we need to find out the equation of graph.
First we find the equation of equality and then find inequality.
x-intercept: (2,0)
y-intercept: (0,-3)
Now we find equation of line intercept form:
[tex]\dfrac{x}{2}-\dfrac{y}{3}=1[/tex]
[tex]3x-2y=6[/tex]
Now we find inequality sign
If we take (0,0) as test point. It would be false because (0,0) is not in shaded area.
Put (0,0) into 3x-2y=6
3(0) - 2(0) ____ 6
0 ___ 6
We make it false
0 > 6
So, correct equation is 3x - 2y > 6
Hence, The equation of the given graph is 3x - 2y > 6
PLEASE HELP ME. NO ONE IS HELPING ME. I AM SO CONFUSED. MY TEACHERS AND MY PARENTS WONT HELP ME EITHER.
Factor over the expression over the complex numbers.
x^2+20
Factor over the expression over the complex numbers.
x^2+36
Factor over the expression over the complex numbers.
x^4-81
Factor over the expression over the complex numbers.
y^4+14y^2+49
Factor over the expression over the complex numbers.
y^2+2y^2+16y+32
Write an equation that describes the function.
uncle sammy invests money on stocks and makes 7 to 13 percent the range of money Uncle sammy will make if he invests his next paycheck of $2,300. express the solution set in set notation and interval notation.
So we are given an increase of 7% to 13%, so we multiply the capital with 1.07 and 1.13. So the range is:
minimum = $2,300 * 1.07 = $2,461
maximum = $2,300 * 1.13 = $2,599
The set notation is:
interest, X = {7%, 13%}
money, Y = {$2461, $2599}
The interval notation is:
[$2461, $2599]
Which type of correlation would you expect between a company's advertising budget and its volume of sales? Why?
A) 0; relatively no correlation
B) The correlation cannot be predicted.
C) positive; advertising increases, sales increase.
D) negative; fewer sales, less money for advertising.
Answer:is c
Step-by-step explanation:
I did on usatestprep
The chart shows data for four moving objects , which object has the greatest acceleration?
Answer:
Y
Step-by-step explanation:
The distance between the baseball stadium and the airport is 1.6×106 centimeters. Which unit of measurement is most appropriate to measure this distance? inches kilometers feet milimeters
Final answer:
The most appropriate unit of measurement to measure the distance between the baseball stadium and the airport, which is 1.6 × 10⁶ centimeters, would be kilometers.
Explanation:
The most appropriate unit of measurement to measure the distance between the baseball stadium and the airport, which is 1.6×10⁶ centimeters, would be kilometers.
When measuring long distances, kilometers are commonly used. Kilometers are larger units of measurement compared to centimeters and millimeters, making them appropriate for measuring large distances like the one mentioned in the question.
In a theater, there are 4 long rows of chairs, each with an equal number of chairs. There are 5 short rows of chairs, each with an equal number of chairs. On a crowded day, the ushers added 2 chairs to each long row and 3 chairs to each short row. If x represents the number of chairs in each long row and y represents the number of chairs in each short row, the total number of chairs in the theater is given by the expression 4(x + 2) + 5(y + 3). An equivalent expression is
Answer:
HERE IS THE ABSWER SRRY FOR CAPS 4(x+2) + 5(y+3)
4x+8 + 5y + 15
4x + 5y + 23
Step-by-step explanation:
Use the definitions and theorems of this section to evaluate and simplify the following expression. Be sure to express answers with positive exponents. (b3)2
Answer:
[tex]b^6[/tex]
Step-by-step explanation:
Given expression is,
[tex](b^3)^2[/tex],
By the power rule of exponent,
[tex](a^m)^n=a^{mn}[/tex]
Thus, we can write,
[tex](b^3)^2=b^{3\times 2}=b^6[/tex]
Since, further simplification is not possible,
Hence, the simplified form of the given expression,
[tex]b^6[/tex]