b
Step-by-step explanation:
84 students are in the school choir. The ratio of girls to boys is 3:4. How many members are girls?
June bought 3 1/2 gallons of white paint at $17.50 per gallon and 1 3/4 gallons of blue paint at $19.00 per gallon. What was her total cost?
Step 1
Convert mixed numbers to an improper fractions
[tex]3\frac{1}{2} =\frac{3*2+1}{2}= \frac{7}{2}[/tex]
[tex]1\frac{3}{4} =\frac{1*4+3}{4}= \frac{7}{4}[/tex]
Step 2
Find the total cost
we know that
the total cost is equal to the cost of the gallons of white paint plus the cost of the gallons of blue paint
the cost of the gallons of white paint is equal to
[tex]\frac{7}{2}*17.50= \$61.25[/tex]
the cost of the gallons of blue paint is
[tex]\frac{7}{4}*19.00= \$33.25[/tex]
The total cost is
[tex]\$61.25+\$33.25=\$94.50[/tex]
therefore
the answer is
the total cost is [tex]\$94.50[/tex]
write 0.28 as a fraction in simplest form .
Daniel wants to buy a bicycle that costs$200. He saves the same amount each month from the money he earns mowing lawns. He also saves $15 of his monthly allowance. If x represents the amount he earns mowing lawns each month, write an expression to show Daniel's total savings after 8 months.
A 16 oz package of brown rice costs 79 cents and 32 oz package of white rice costs $3.49. Which package is a better buy
Line m passes through the points (6,1) and (2,-3). Line n passes through the points (2,3) and (5,-6). Find the point intersection of these lines.
The point of intersection for lines (m) and (n) is (3.5, -1.5). Line (m) equation: (y = x - 5). Line (n) equation: (y = -3x + 9).
To find the point of intersection of two lines, you can use the point-slope form of a line and set the equations of the lines equal to each other. Let's first find the equations of the lines ( m ) and ( n ) using the given points.
Line ( m ) passes through the points ( (6,1) ) and ( (2,-3) ). Let's find the slope of line ( m ) first:
[tex]\[ \text{Slope of } m = \frac{{y_2 - y_1}}{{x_2 - x_1}} \][/tex]
[tex]\[ \text{Slope of } m = \frac{{-3 - 1}}{{2 - 6}} = \frac{{-4}}{{-4}} = 1 \][/tex]
Now we can use the point-slope form of a line to find the equation of line ( m ):
y - y_1 = m(x - x_1)
Let's use the point ( (6,1) ) to find the equation of line ( m ):
y - 1 = 1(x - 6)
y - 1 = x - 6
y = x - 6 + 1
y = x - 5
So, the equation of line ( m ) is ( y = x - 5 ).
Now let's find the equation of line (m and n) passing through the points
( (2,3) ) and ( (5,-6) ):
[tex]\[ \text{Slope of } n = \frac{{-6 - 3}}{{5 - 2}} = \frac{{-9}}{{3}} = -3 \][/tex]
Using the point ( (2,3) ) to find the equation of line ( n ):
y - 3 = -3(x - 2)
y - 3 = -3x + 6
y = -3x + 6 + 3
y = -3x + 9
So, the equation of line ( n ) is ( y = -3x + 9 ).
Now, we'll set the equations of ( m ) and ( n ) equal to each other to find the point of intersection:
x - 5 = -3x + 9
Now, solve for ( x ):
x + 3x = 9 + 5
4x = 14
[tex]\[ x = \frac{{14}}{4} \][/tex]
x = 3.5
Now, substitute ( x = 3.5 ) into either equation to find ( y ). Let's use the equation of line ( m ):
y = 3.5 - 5
y = -1.5
So, the point of intersection of lines ( m ) and ( n ) is ( (3.5, -1.5) ).
4(2x-3) in expanded form ...please!!!
What is 0.3% written as a decimal?
A 0.003
B 0.3
C 3
D 30
Answer:
0.003%
Step-by-step explanation:
you have to multiply this number by 100 which makes 0.3%
What percent of 25 is 12?
Answer:
48%
Step-by-step explanation:
its just that booooooommmmm
A number with one or more digits to the right of a decimal point is called a
Al lives 30 mi. from Ann. At the same time, they start biking toward each other on the same road. Al’s constant rate is 12 mph. Ann’s is 8 mph. How long will it take them to meet? A. 0.5 hour B. 1 hour C. 1.5 hours D. 2.5 hours
Answer:
The answer is C.) 1.5 hours
Step-by-step explanation:
I took a quiz and according to that its correct
what is the answer to this number pattern 11,121,1331,14641
The distance between Earth and Mars is 192,000,000km. It took a spacecraft 200 days to take a space buggy from Earth to Mars. Calculate the speed at which the spacecraft traveled. Give the unit.
Speed is the rate of change of position of a particle or an object with respect to the time. It can also describes as the rate of which a particle or object moves.The value of the speed of the spacecraft is 40000 km per hour.
Given-
The distance between Earth and Mars is 192,000,000 km.
Time taken by the spacecraft to send a space buggy from earth to mars is 200 days.
Time taken in hours t,
[tex]t=200\times24[/tex]
[tex]t=4800[/tex]
The speed of the spacecraft has to be calculate. For this we need to know about the speed.
What is speed?Speed is the rate of change of position of a particle or an object with respect to the time. It can also describes as the rate of which a particle or object moves.
The speed can be calculate by the calculating the ratio of the distance traveled d to the time taken t.
Mathematically,
[tex]s=\dfrac{d}{t}[/tex]
Using the above formula calculate the value of the speed of the spacecraft.
[tex]s=\dfrac{192000000}{4800}[/tex]
[tex]s=40000[/tex]
Hence, the value of the speed of the spacecraft is 40000 km per hour.
Learn more about the speed here;
https://brainly.com/question/7359669
bill is riding his bike he rides 25 miles in 2 hours 37.5 miles in 3 hours and 50 miles in 4 hours find the constant of proportionality proportionality and write an equation to describe the situation
If a number in the numerator of a unit is 1, what does this indicate about the equivalent unit rates? Give an example.
Algebra please help out
If the number in the numerator of a unit rate is 1, what does this indicate about the equivalent unit rates? Please help answer and give an example. Thanks
November 18, 2014 by Steph
Math
If the number in the numerator of a unit rate is 1, what does this indicate about the equivalent unit rates? give an example
November 23, 2015 by Wendy
Math
If the number in the numerator of a unit rate is 1 what does this indicate about the equivalent unit rates give an example
December 8, 2015 by Amber
math/unit rate
please help me find the definition for unit rate. It depends upon what kind of unit. Go to www.google.com and type in unit rate. There is one source there for hotel unit rates, another for unit rates for the medical field, etc. You may also go to www.dictionary.com and type in...
September 26, 2006 by hannah
unit rate
the unit price of an item at a grocery store is a familiar example of a unit rate. find the unit price of each box of cereal. a. $3.95 for a 20oz. b.$4.29 for a 24 oz. c.$2.25 for a 12 oz. Divide the price by the weight in ounces for the unit rate. For example, For a 20 oz box...
November 28, 2006 by lisa
Unit Rates
Find each unit rate. - 20 mi in 5h - 78 mi on 3 gal Please and Thank-you I need HELP!!!!!!!!!! same answer as I gave to Janie 400 miles in 5 hours
January 10, 2007 by Janbowier
When the number in the numerator of a unit rate is 1, it indicates that the unit rate is equivalent to the value of the denominator alone. In other words, it signifies that the quantity being measured is directly proportional to the value of the denominator.
For example, consider a unit rate of "1 mile per hour." Here, the numerator (1 mile) indicates that for every 1 unit of the denominator (1 hour), the distance covered is 1 mile. So, if a car travels at a speed of 1 mile per hour, it means the car covers a distance of 1 mile in 1 hour.
Similarly, let's say we have a unit rate of "1 gallon per minute" for the flow rate of water from a faucet. This implies that for every 1 unit of time (1 minute), the faucet dispenses 1 gallon of water. Therefore, if the faucet runs at a rate of 1 gallon per minute, it means it releases 1 gallon of water every minute.
In summary, when the numerator of a unit rate is 1, it indicates a direct relationship between the quantity being measured and the value of the denominator alone. This relationship simplifies the understanding of the unit rate and its application in various contexts.
How do you divide 400 by 10 to the third power
A craft store retailer uses a markup rate of 65%. A scrapbook kit costs the retailer $20.
What is the selling price of the scrapbook kit?
A. $13
B. $33
C. $98
D. $130
Final answer:
To find the selling price of a scrapbook kit with a markup rate of 65% on a cost of $20, calculate the markup amount ($20 * 0.65 = $13) and add it to the original cost, resulting in a selling price of $33.
Explanation:
To determine the selling price of a scrapbook kit with a markup rate of 65%, we first need to calculate the amount of markup. The cost of the scrapbook kit to the retailer is $20. The markup amount is found by multiplying this cost by the markup rate expressed as a decimal (65% = 0.65).
The markup amount is: $20 × 0.65 = $13. To find the final selling price, we add this markup to the original cost of the item:
$20 (original cost) + $13 (markup) = $33 (selling price).
Therefore, the selling price of the scrapbook kit is $33.
mrs. Dimas has $130 to buy basketballs for Edison Middle School. How many can she buy at $15 each? Intrepret your remainder.
Answer:
8
Step-by-step explanation:
how many dollars are in 30,000 pennies
Lexie purchased 4 bags of oranges.each bag contained 14 oranges. Lexie divided the oranges equally among 7 fruit baskets. how many oranges did Lexie place in each fruit basket?
Tommy goes out for lunch and he can choose a hamburger, grilled cheese, a hot dog, or pizza. Tommy also has the choice of french fries , fruit or applesauce for his side. For his drink, Tommy can have milk, juice, or soda. How many different combinations can Tommy create for his lunch.
To calculate the total lunch combinations Tommy can create, we multiply his options for main dish (4), side (3), and drink (3), resulting in 36 different combinations. Making healthier choices, like water over soda or smaller portions, supports long-term health.
When considering the various combinations Tommy can create for his lunch, we employ the fundamental counting principle. This principle states that if there are 'n' ways to do one thing, and 'm' ways to do another, then there are n*m ways to do both. Applying this to Tommy's choices:
He has 4 options for the main dish (hamburger, grilled cheese, hot dog, or pizza),3 options for the side dish (french fries, fruit, or applesauce), and3 options for the drink (milk, juice, or soda).To find the total number of different lunch combinations Tommy can create, we multiply the number of choices for each category:
Total combinations = 4 mains * 3 sides * 3 drinks = 36 different combinations.
When making food choices, the keys to healthy eating include knowing what you're consuming and selecting options that contribute to long-term health. Opting for nutrient-dense foods over calorie-rich and nutrient-poor choices is important. For example, selecting water instead of soda, a smaller portion of fries, or adding a piece of fruit can make a significant difference in calorie intake and nutritional value.
By choosing grilled chicken over fried items, and being cautious of high-calorie dressings and sauces, it's possible to find healthier options even when dining out. The overall goal is to make informed decisions that support a healthy lifestyle.
calculate Alberts average speed
time:12 minutes
distance:100 meters
Marcie bought a 50-foot roll of packing tape. she used two 8 5/6 foot lengths. how much tape is left on the roll
lisa paid $18 for 9 cupcakes how much do 6 cupcakes cost?
susan can buy 3 1/2 lb of strawberries for §7.00. how many pounds of strawberries can she buy for $1.00? PLEASE HELP
Emma pays $108 every six weeks for tennis lessons. What is the price per year for tennis lessons?
Answer:
$936
Step-by-step explanation:
Number of weeks in 1 year= 52 weeks
Cost of every six week for tennis lesson= $108
We have to find the price per year for tennis lessons
Number of times he will pay for the tennis lessons= [tex]\frac{52}{6}[/tex]
Total price per year for Tennis lessons= [tex]\frac{52}{6}[/tex] × 108
Total price per year for Tennis lessons= 52 × 6
Total price per year for Tennis lessons= $ 936
Hence, the correct answer is $ 936
what integer describes a profit of $300
Final answer:
The integer representing a profit of $300 is the positive integer 300.
Explanation:
The integer that describes a profit of $300 is simply 300. In the context of economics and mathematics, profits and losses are represented as positive and negative integers respectively. In this scenario, since we are speaking of a profit, the integer is positive. If you were incurring a loss of $300, then the integer would be -300. Additionally, considering aspects of business calculation provided in the reference information, an increasing profit or a decreasing profit due to changes in advertising costs or quantity sold can affect the calculation of profit; however, the specific answer to your question remains 300.
If y − 1 = 4x, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs?
{(1, 4), (2, 8), (3, 12)}
{(4, 1), (8, 2), (12, 3)}
{(0, 1), (1, 5), (2, 9)}
{(1, 0), (5, 1), (9, 2)}
Answer: {(0, 1), (1, 5), (2, 9)}
Step-by-step explanation:
Given linear equation: y-1=4x which can be rewritten as
y=4x+1
To find the set which represents possible inputs and outputs of the function. Let's check all the options
A. {(1, 4), (2, 8), (3, 12)}
at x=1
y=4(1)+1
⇒y=5≠4
Thus this set is not the required set.
B. {(4, 1), (8, 2), (12, 3)}
at x=4
y=4(4)+1
⇒y=16+1=17≠1
Thus this set is not the required set.
C.{(0, 1), (1, 5), (2, 9)}
at x=0
y=4(0)+1
⇒y=1
Thus this set is the required set represents possible inputs and outputs of the function.
D. {(1, 0), (5, 1), (9, 2)}
at x=1
y=5≠0
Thus this set is not the required set.
which number is greater 56.01 56.10 or 56.011
Chen uses different strategies to add. He works with the addends 4,5,6,7
Choose one of churns addends use that number to write a doubles