[tex]5x-2y=8\ \ \ \ |-5x\\\\-2y=8-5x\ \ \ |:(-2)\\\\y=-4+2.5x\\\\\boxed{y=2.5x-4}[/tex]
What two ratios are equivalent to 11/12
Write the standard form of the line that contains a slope of -3/8 and passes through the point (5, -4). Include your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution.
Answer: [tex]3x+8y+17=0[/tex]
Step-by-step explanation:
We know that the equation of a line passing through a point (a,b) ans has slope 'm' is given by :-
[tex](y-b)=m(x-b)[/tex]
Given : Slope : [tex]m=\dfrac{-3}{8}[/tex]
Point = (5, -4)
Then, the equation of a line passing through a point (5, -4) ans has slope [tex]\dfrac{-3}{8}[/tex] is given by :-
[tex](y-(-4))=\dfrac{-3}{8}(x-5)\\\\\Rightarrow\ 8(y+4)=-3(x-5)\\\\\Rightarrow\ 8y+32=-3x+15\\\\\Rightarrow\ 3x+8y+32-15\\\\\Rightarrow\ 3x+8y+17=0\ \ [\text{In standard form}][/tex]
Therefore, the standard form of the line that contains a slope of [tex]\dfrac{-3}{8}[/tex] and passes through the point (5, -4):
[tex]3x+8y+17=0[/tex]
a number between 67 and 113 that is a multiple of 3, 6 and 9
Find the perimeter and area of each figure
Choose an equation that represents the line passing through the point (2, -4) with a slope of 1/2.
The boiling point (at atmospheric pressure) of Ammonia is -28 1/10°F and of Propylene is -53 9/10°F. What is the difference in their boiling points?
-82°F
26°F
25 4/5°F
-81 4/5°F
Answer:
yeah I got it right
Step-by-step explanation:
How do I solve this?
Count the total number of atoms in CaCo2
A popular chain of superstore makes 30.479×10730.479×107 dollars in profit each year. One of its store makes 210.2×104210.2×104 in profit each year.
How many times greater is the profit made by the chain than by one of its store?
Enter your answer, using scientific notation, in the boxes.
Final answer:
To find how many times greater the chain's profit is than one store's, divide the chain's profit by the store's profit. After dividing the coefficients (30.479/210.2) and subtracting the exponents (7-4), we find that the chain's profit is 145 times greater than that of one store, which is 1.45 × 10² in scientific notation.
Explanation:
To determine how many times greater the profit made by the chain is than by one of its store, we need to divide the total profit of the chain by the profit of one store. Both profits are given in scientific notation as follows:
Chain's annual profit: 30.479 × 107 dollars
One store's annual profit: 210.2 × 104 dollars
To perform the division, we divide the coefficients and subtract the exponents:
(30.479 × 107) / (210.2 × 104) = (30.479 / 210.2) × 10(7 - 4)
Calculating the division of coefficients and exponents separately:
Coefficients: 30.479 / 210.2 ≈ 0.145
Exponents: 103, since 7 - 4 = 3
The result is:
0.145 × 103, which is the same as 1.45 × 102 in scientific notation after adjusting the decimal point one place to the right. Therefore, the chain's profit is 145 times greater than the profit of one store.
A rectangular flower garden is 8 ft longer than its width. It is surrounded by a brick wall 2 ft wide. The area of the walk is 176ft squared. Find the dimensions of the flower garden
Which statement and explanation about the product of a 3-digit number and a 2-digit number is correct?
A. The product always has 4 digits. The least 3-digit number is 100, and the least 2-digit number is 10. The product of 100 and 10 has 4 digits, so any product of a 3-digit and a 2-digit number must have 4 digits.
B. The greatest number of digits in the product is 6. The greatest 3-digit number is 999, and the greatest 2-digit number is 99. The product of 3 digits and 2 digits equals 6 digits, so no product of a 3-digit and a 2-digit number can have more digits.
C. The product always has 5 digits. The greatest 3-digit number is 999, and the greatest 2-digit number is 99. The product of 999 and 99 has 5 digits, so any product of a 3-digit and a 2-digit number must have 5 digits.
D. The greatest number of digits in the product is 5. The greatest 3-digit number is 999, and the greatest 2-digit number is 99. The product of 999 and 99 has 5 digits, so no product of a 3-digit and a 2-digit number can have more digits.
The correct statement is :
D. The greatest number of digits in the product is 5. The greatest 3-digit number is 999, and the greatest 2-digit number is 99. The product of 999 and 99 has 5 digits, so no product of a 3-digit and a 2-digit number can have more digits.
The smallest 2 digits is 10, and the smallest 3 digits is 100
Their product is:
[tex]10 \times 100 = 1000[/tex] i.e. 4 digits
The greatest 2 digits is 99, and the greatest 3 digits is 999
Their product is:
[tex]99 \times 999 = 98901[/tex] i.e. 5 digits
This means that;
No product of the digits can have more than 5 digits
And, no product can have less than 4 digits
Hence, (d) is correct
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how do I plot y=2x-4
Mrs. Gonzalez buys a total of 32 crayons for her classroom. Each pack contains 8 crayons. How many packs of crayons does Mrs. Gonzalez buy ?
Molly works at an electronics store. Her last customer purchased a DVD player for $67.65 and five DVDs for $57.93, including taxes. If the customer paid her with two $100 bills, how much change should she give him?
A linear equation has more than one y intercept.what can you conclude about the graph of the equation?
Plzzzzzzzzzz help me
The answer would be the top right graph where none of the lines intersect since it shows that there is no possible real solutions for the system if none of the lines intersect on a certain point.
Remember: If the lines intersect, there is a solution; if the lines do not intersect, there is no solution; if the lines fall on the same line, or the equations are equivalent, then the solution is all real numbers.
What’s the ratio for 34in to 14ft
Margo used the equation y=-4x-1 to graph a line. She graphed the point (-1, 0), Does (-1, 0) lie on the line? If not, what mistake did Margo make?
What are the steps to the problem 4,3021 - 835.6?
The final result is 3466.5.
To solve the subtraction problem 4,302.1 - 835.6, follow these steps:
Align the Numbers: Line up the numbers by their decimal points.The final answer is, 3466.5.
Systems of equations word promblems. I need help answering this questions >. < Tysm. Please explain it also.
3)Flying to kampala with a tailwind a plane averaged 158 km/h. on the return trip the plane only averaged 112 km/h while flying back into the same wind. find the speed of the wind and the speed of the plane in still air
2.365 x 12.4 ASAP
can you please show work like this how you got it
To perform the multiplication 2.365 x 12.4, you need to multiply each digit of the numbers, remembering to keep track of decimal places, and then add all the partial results together. This gives a final result of 29.326.
Explanation:To solve the multiplication problem 2.365 x 12.4, you use the standard multiplication method, which involves multiplying each digit of the multipliers. Follow the steps below:
Multiply 5 (from 2.365) by each digit in 12.4: 5x4=20, 5x2=10, 5x1=5. Write this number, 11820, under the problem and mark the decimal.Multiply 6 (from 2.365) by each digit in 12.4, but shift one place to the left. Do the same for 3 and 2 in 2.365, shifting each time to the left.Add all the resulting numbers up, making sure your decimal places align correctly (2 places in this problem).The final result of the multiplication 2.365 x 12.4 is 29.326.
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A system of equations is graphed on the coordinate plane.
2y = 3x − 1
4y = 6x − 2
Select the number of solutions for the system of equations from the drop-down menu.
A. no solution
B. one solution
C. infinitely many solutions
Below is last month's business income statement for Korey's Comics. Using the information provided in the statement, determine net income for Korey's Comics last month. Korey?s Comics Monthly Business Income Statement Revenue Sales: $6,825 Returns: $215 Net Sales: Cost of Goods Sold Beginning Inventory: $780 Purchases: $1,795 Goods Available for Sale: Ending Inventory: $795 Total Cost of Goods Sold: Gross Profit:: Operating Expenses Wages: $1,460 Rent: $650 Utilities: $185 Advertising: $90 Taxes: $125 Total Operating Expenses: Net Income: a. $2,320 b. $2,510 c. $4,830 d. $6,610
Based on the information given the net income is $2320.
Net income
Using this formula
Net Income = Gross Profit - Operating Expenses
Where:
Net Sales = Revenue - Returns
Net sales=$6,825 -$215
Net sales=$6610
Cost of goods sold= Beginning Inventory + Purchase - Ending Inventory
Cost of goods sold =$780 + $1,795 - $795
Cost of goods sold=$1780
Gross Profit = Net Sales - Cost of goods sold
Gross profit =$6610 - $1780
Gross profit=$4830
Operating Expenses:
Wages $1,460
Rent $650
Utilities $185
Advert $90
Tax $125
Total Operating Expenses $2,510
Let plug in the formula
Net income=$4,830 - $2510
Net income=$2320
Inconclusion the net income is $2320.
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