Half of a 750mg tablet is 375mg, which converts to 0.375g. This is calculated by dividing the milligram amount by 1000.
Explanation:If a tablet contains 750mg, and the tablet is broken in two, each half would contain half the amount of the original tablet. Since 750mg is equivalent to 0.75g, breaking the tablet in half would result in two halves, each with a mass of 375mg, or 0.375g. To convert from milligrams to grams, we use the conversion factor that 1 gram is equal to 1000 milligrams. Therefore, we divide the milligram amount by 1000 to get the equivalent in grams.
Example: If you have 375mg of a substance and want to convert it to grams, you would calculate 375mg ÷ 1000 = 0.375g. Thus, when the patient takes half of a 750mg tablet, they are taking 0.375g of the medication.
A line passes through (8,-1) and is perpendicular to y=2x-9. What is the equation of the line in point-slope form?
The equation of the line in point-slope form is y = -1/2x +3.
What is the slope of a line?A line's slope is defined as the ratio of the change in the y coordinates to the change in the x coordinates.
Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by y and x, respectively.
Therefore, the relationship between the change in the y-coordinate and the change in the x-coordinate.
Given coordinates (8, -1)
and the equation of a line is y = mx + c
given equation = y = 2x - 9
comparing from the equation of line we get m = 2
but the line passes from (8, -1) is perpendicular to a given line,
so the value for slope(m) for perpendicular is inverse of the negative of the slope of a given line,
so m = -1/2
and equation is (y - y₁) = m(x - x₁)
where y₁ = -1 and x₁ = 8
substitute the values
y - (-1) = -1/2(x - 8)
y + 1 = -1/2(x - 8)
y = -1/2x +4 -1
y = -1/2x +3
Hence the equation of a line is y = -1/2x +3.
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If A = {2, 4, 6, 8, 10} and B = {1, 2, 3, 4, 5}, find A Intersects with B.
A.
{2, 4}
B.
{1, 2, 3, 4, 5, 6, 8, 10}
C.
{1, 3, 5}
D.
{7, 9}
Write and equation to solve the problem, "five less than the product of 6 and a number is -23"?
need help plz supposed to turn 8/27 into exponents please help
Marci has 7 bean bag dolls. Lucy has 2 bean bag dolls. Janice has twice the number of dolls as Marci and Lucy combined. How many dolls does Janice have? Explain the steps you used to solve the problem. then write an equation to show the steps.
7/8m + 9/10 - 2m - 3/5
Answer:
The simplified form is [tex]-\frac{9m}{8}+\frac{3}{10}[/tex]
Step-by-step explanation:
Consider the provided expression.
[tex]\frac{7}{8}m + \frac{9}{10} - 2m - \frac{3}{5}[/tex]
Now combine the like terms,
Like terms are the terms which contains same variables of same degree.
[tex]\frac{7}{8}m -2m + \frac{9}{10}-\frac{3}{5}[/tex]
The above expression can be written as:
[tex]\frac{7}{8}m -\frac{8}{8}\times 2m + \frac{9}{10}-\frac{2}{2}\frac{3}{5}[/tex]
[tex]\frac{7-16m}{8}+\frac{9-6}{10}[/tex]
[tex]-\frac{9m}{8}+\frac{3}{10}[/tex]
Hence, the simplified form is [tex]-\frac{9m}{8}+\frac{3}{10}[/tex]
Answer:
The simplified expression is - 7/8 m + 3/10
Step-by-step explanation:
A recipe uses 8 3/4 cups of milk for every 3 1/2 cups of oatmeal.
How many cups of milk are used for each cup of oatmeal?
To figure out how many cups of milk are used for each cup of oatmeal, divide the amount of milk by the amount of oatmeal. The result is 2 1/2 cups of milk for each cup of oatmeal.
Explanation:The question is asking us to figure out what the ratio of cups of milk to cups of oatmeal would be if it were reduced to one cup of oatmeal. The original proportions provided in the question are 8 3/4 cups of milk for 3 1/2 cups of oatmeal.
To find the answer, we would divide the amount of milk by the amount of oatmeal. First, we need to convert the mixed numbers to improper fractions. 8 3/4 is the same as 35/4 and 3 1/2 is the same as 7/2.
Then, we divide 35/4 by 7/2, which turns into a multiplication problem: 35/4 times 2/7. Keep in mind that multiplying fractions is straightforward - you simply multiply the numerators with numerators and denominators with denominators.
The result, therefore, becomes 70/28 which simplifies to 2.5 or 2 1/2 when turned back into a mixed number. So, there are 2 1/2 cups of milk used for each cup of oatmeal.
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The key club made $192 at their candle sale.They sold round candles for $4 and square candles for $6.If they sold twice as many square candles as round ones,how many of each type of candle did the key club sell?
Answer:
24 square candles and 12 round candles
Step-by-step explanation:
4r+6s=192
s=2r
Solve:
4r+6(2r)=192
4r+12r=192
Combine like terms
16r=192
r=12
s=2(12)
s=24
12 round candles and 24 square candles.
$1725 couch with a 15% markup
To find the final price of the couch with a 15% markup, we add the markup to the original price of the couch.
Explanation:In this question, we are given a couch priced at $1725 with a 15% markup. To find the final price, we need to add the markup to the original price of the couch.
Markup = 15% of $1725 = (15/100) * $1725 = $258.75
Final price = Original price + Markup = $1725 + $258.75 = $1983.75
Write 1/125 as an expression using a negative exponent other than -1
An expression is defined as a set of numbers, variables, and mathematical operations. The expression 1/125 as a negative exponent other than -1 is 5⁻³.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The expression 1/125 as a negative exponent other than -1 can be written as,
1/125
= 1/(5³)
= 5⁻³
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Jordan made a scale drawing of the Statue of Liberty. He used the scale 1 in. = 30 feet for his drawing. The actual height from the ground to the top of the torch is 305 feet 6 inches. What is the distance, rounded to the nearest inch, from the ground to the top of the torch in Jordan’s drawing? A. 10 in. B. 11 in. C. 15 in. D. 25 in.
K=59(F−32)+273.15. Solve for F.
Answer:
The value of the equation for F is [tex]F=\frac{K-273.15}{59}+32[/tex]
Step-by-step explanation:
Consider the provided equation.
[tex]K=59(F-32)+273.15[/tex]
We need to solve the provided equation for F.
Subtract 273.15 from both sides.
[tex]K-273.15=59(F-32)[/tex]
Divide both side by 59.
[tex]\frac{K-273.15}{59}=F-32[/tex]
[tex]F-32=\frac{K-273.15}{59}[/tex]
Add 32 from both side.
[tex]F=\frac{K-273.15}{59}+32[/tex]
Hence, the value of the equation for F is [tex]F=\frac{K-273.15}{59}+32[/tex]
Divide 6,723 ÷ 8.
What is the remainder?
(05.01)A scale drawing of a bathroom is shown below: A rectangle is shown. The length of the rectangle is labeled 2 inches. The width of the rectangle is labeled 3.5 inches. The scale is 1 to 20. What is the area of the actual bathroom in square feet? Round your answer to the nearest whole number. 7 ft^2 19 ft^2 12 ft^2 140 ft^2
19ft^2
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Alligators lay between 20 and 50 eggs in a nest. A park ranger in Everglades national park counted the number of eggs in 28 nests. On average, there were 40 eggs in each nest. About how many eggs did he count?
The park ranger counted a total of 1120 eggs in the nests in Everglades National Park.
Explanation:The park ranger in Everglades National Park counted the number of eggs in 28 nests and found that there were an average of 40 eggs per nest. To find the total number of eggs the ranger counted, you can multiply the average number of eggs per nest by the total number of nests. In this case, the calculation would be: 40 eggs/nest x 28 nests = 1120 eggs.
An automobile detailer can detail 20 cars in 10 hours. At this rate, how many cars can he detail in 1 hour?
Using scale factor of 1 inch = 5 feet, the blueprint dimensions of bedroom that is 12 feet x 18?
Choices
A) 2.2 in. X 3.3 in.
B) 2.4 in. X 3.6 in.
C) 2.8 in. X 4.2 in.
D) 2.9 in. X 5.0 in.
The blueprint dimensions for a bedroom that is 12 feet by 18 feet using a scale factor of 1 inch = 5 feet are 2.4 inches by 3.6 inches, which is choice B.
To find the blueprint dimensions of a bedroom that is 12 feet by 18 feet using a scale factor of 1 inch = 5 feet, we need to convert the actual dimensions to inches on the blueprint. For the length:
12 feet / 5 feet per inch = 2.4 inches
And for the width:
18 feet / 5 feet per inch = 3.6 inches
Therefore, the dimensions on the blueprint would be 2.4 inches by 3.6 inches, which corresponds to choice B.
Can you help me for number 36, please thank you!
1. Kim's age is twice that of her sister. When you add Kim's age to her sister's age, you get 36. How old is each sister? (a) Write an equation that represents the situation. Explain any variable used. (b) Solve the equation from Part (a). Show your work. State your solution as a complete sentence. Answer:
josh's web site had 805,289 visitors. Diego's site had 784,976 visitors. How many more visitors did josh's sit have than Diego's. Estimate to check your answer.
Josh's site had 20,313 more visitors than Diego's site. To estimate, we round the number of visitors to each site to the nearest thousand and subtract, revealing an approximate difference of 20,000 visitors, which is close to the exact count.
To find out how many more visitors Josh's site had than Diego's, we subtract the number of visitors to Diego's site from the number of visitors to Josh's site.
Josh's site had 805,289 visitors and Diego's site had 784,976 visitors. So we calculate:
805,289 - 784,976 = 20,313
Josh's site had 20,313 more visitors than Diego's site.
Estimate:
To estimate, we can round the numbers to the nearest thousand:
Josh's site: Approximately 805,000 visitors
Diego's site: Approximately 785,000 visitors
Now we subtract:
805,000 - 785,000 = 20,000
The estimate shows that Josh's site had about 20,000 more visitors than Diego's, which is close to the exact difference of 20,313 visitors.
anna can type 123 in 3 minutes ,caroline can type220 words in 5 minutes who can type faster
Last year you received 25 valentine cards from all of your friends. This year you received 30 total valentines. Calculate the percent change
Write an equation about having 6 puzzles, getting 5 more and having a lot now.
One pound of chicken costs $3.Jim buys 8 and 2/3 pounds of chicken.how much does jim pay for the chicken?
A rectangle has an area of 20 square feet and a length of 6 feet. What is its width? show me how you got the answer.
3 1/3 is the width of the given rectangle.
What is Area?The area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.
We can use the formula for the area of a rectangle, which is:
area = length x width
We are given the area as 20 square feet and the length as 6 feet. We can plug these values into the formula and solve for the width:
20 = 6 x width
Dividing both sides by 6, we get:
width = 20/6
Simplifying this fraction, we get:
width = 3 1/3 feet
Therefore, the width of the rectangle is 3 1/3 feet.
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Final answer:
To calculate the width of a rectangle when the area is 20 square feet and the length is 6 feet, you divide the area by the length to get the width, which is 3⅓ feet.
Explanation:
To find the width of a rectangle when the area and the length are given, you can use the formula for the area of a rectangle, which is Area = length × width. In this case, we are given the area (20 square feet) and length (6 feet), so we set up the equation:
20 square feet = 6 feet × width
To solve for the width, we divide both sides of the equation by the length (6 feet):
Width = 20 square feet ÷ 6 feet
Width = 3.3333 feet or 3⅓ feet
Therefore, the width of the rectangle is 3⅓ feet.
there are 48 beads in a package. candice bought 4 packages of blue,9 packages of gold,6 packages of red,and 2 packages of silver beads. about how many beads did candice buy ?
triangle has angles that measure 106° and 59°. What is the measure of the third angle? A. 15° B. 47° C. 74º D. 121°
The function f(x)=3(2.5)^ is shown on the graph. Fill in the blank. As x increases without bound, the graph of f(x) _________________.
decreases without bound
increases without bound
approaches y=0
approaches y=3
Break apart 16x34 into 4 simpler multiplication problems?
The simpler multiplication after breaking apart 16 × 34 are 5 × 100 + 11 × 4, 4 × 4 × 34, 8 × 2 × 17 × 2, and 4 × 8 × 17.
What is multiplication?The fundamental concept of making the same number of additions repeatedly is represented by the action of multiplication. The results of multiplying two or more integers are known as the products, and the factors that are used in the multiplication are referred to as the factors.
Given:
16 × 34
The multiplication can be broken into simpler multiplication as shown below,
2 × 2 × 2 × 2 × 2 × 17
544
Break the term as shown below,
500 + 44
5 × 100 + 11 × 4
The 16 × 34 can also be written as 4 × 4 × 34, 8 × 2 × 17 × 2, and 4 × 8 × 17
Thus, the simpler multiplications are 5 × 100 + 11 × 4, 4 × 4 × 34, 8 × 2 × 17 × 2, and 4 × 8 × 17.
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What is the remainder to 8372÷5