The ratio of brown to blue eyes in a group of students is 1 to 3. What ratio of students could this represent?
1.
5 brown: 7 blue
2.
3 brown: 9 blue
3.
4 brown: 8 blue
4.
3 brown: 12 blue
What is the missing numbers?
?, 0.8, 1.3, 1.8, ?
A new exhibit at the local Zoo contains 12 ostriches. This is for more than twice the number of elephants. How many elephants are in the exhibit?
A new exhibit at a local zoo contains 12 ostriches. This is four more than twice the number of elephants. How many elephants are in the exhibit?
Tiffany bought 2/5 kg of cherries. linda bought 1/10 kg of cherries less than Tiffany. how many kilograms of cherries did they buy all together
⁷/₁₀ kg
Further explanationGiven:
Tiffany bought [tex]\frac{2}{5} \ kg[/tex] of cherries. Linda bought [tex]\frac{1}{10} \ kg[/tex] of cherries less than Tiffany.Question:
How many kilograms of cherries did they buy altogether?
The Process:
Since Linda bought [tex]\frac{1}{10} \ kg[/tex] of cherries less than Tiffany, we subtract [tex]\frac{1}{10} \ kg[/tex] from the [tex]\frac{2}{5} \ kg[/tex] of cherries Tiffany bought.
The least common multiple (LCM) of 5 and 10 is 10.
[tex]\boxed{ \ \frac{2}{5} - \frac{1}{10} = ? \ }[/tex]
[tex]\boxed{ \ = \bigg( \frac{2 \times 2}{5 \times 2} \bigg) - \frac{1}{10} \ }[/tex]
[tex]\boxed{ \ = \bigg( \frac{4}{10} \bigg) - \frac{1}{10} \ }[/tex]
[tex]\boxed{ \ = \bigg( \frac{3}{10} \ }[/tex]
Therefore, Linda bought [tex]\frac{3}{10} \ kg[/tex] of cherries.
Let us find out how many kilograms of cherries did they buy altogether.
[tex]\boxed{ \ Tiffany's cherries + Linda's cherries =? \ }[/tex]
[tex]\boxed{ \ \frac{2}{5} + \frac{3}{10} = ? \ }[/tex]
[tex]\boxed{ \ = \bigg( \frac{2 \times 2}{5 \times 2} \bigg) + \frac{3}{10} \ }[/tex]
[tex]\boxed{ \ = \bigg( \frac{4}{10} \bigg) + \frac{3}{10} \ }[/tex]
[tex]\boxed{\boxed{ \ = \bigg( \frac{7}{10} \ }}[/tex]
Thus, they bought [tex]\frac{7}{10} \ kg[/tex] of cherries altogether.
- - - - - - - - -
Using Diagram
[tex]\boxed{Tiffany's cherries: \frac{2}{5} = \frac{4}{10}}[/tex]
[tex]Tiffany's cherries: \boxed{\circ}\boxed{\circ}\boxed{\circ}\boxed{\circ}[/tex] or 4 of 10 units.
[tex]\boxed{Linda's cherries = \frac{1}{10}}[/tex] less than Tiffany's, so we subtract 1 from 4 units of Tiffany's, that is [tex]\boxed{\circ}\boxed{\circ}\boxed{\circ}[/tex]
[tex]\boxed{ \ Tiffany's cherries + Linda's cherries =? \ }[/tex]
[tex]\boxed{\circ}\boxed{\circ}\boxed{\circ}\boxed{\circ} + \boxed{\circ}\boxed{\circ}\boxed{\circ} = \boxed{\circ}\boxed{\circ}\boxed{\circ}\boxed{\circ}\boxed{\circ}\boxed{\circ}\boxed{\circ}[/tex]
Thus, the number of the two diagrams is 7 out of 10 units or [tex]\frac{7}{10} \ kg[/tex] of cherries.
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at the start of his diet kerrin weighed 13 stone 9 pounds. three months later he weighed 12 stone 7 pounds. there are 14 pounds in a stone. calculate the reduction in kerrin's weight as a percentage of his initial weight
To find the reduction in Kerrin's weight as a percentage of his initial weight, we convert the weights to pounds, find the weight difference, then this difference is divided by the initial weight and multiplied by 100. Kerrin lost about 7.41% of his initial weight.
Explanation:To calculate the reduction in Kerrin's weight as a percentage of his initial weight, we first need to convert the weights from stones and pounds into just pounds. At the start of the diet, Kerrin weighed 13 stone 9 pounds. As there are 14 pounds in a stone, this equates to (13 x 14) + 9 = 189 pounds. Three months later, he weighed 12 stone 7 pounds which equates to (12 x 14) + 7 = 175 pounds.
The total amount of weight lost is then calculated by subtracting his later weight from his starting weight which gives us 189 - 175 = 14 pounds. The change in weight as a percentage of the initial weight can then be calculated by dividing the weight difference by the initial weight, then multiply the result by 100 to give the percentage. The resulting calculation is (14 / 189) x 100 = 7.407407407407407 which is approximately 7.41%. Therefore, Kerrin lost about 7.41% of his initial weight after three months on the diet.
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Is the function described by the points in this table linear or nonlinear?
x y
-3 9
-1 1
0 0
1 1
3 9
A) Linear
B) Non-Linear
Answer:
Nonlinear
Step-by-step explanation:
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Lilly jogs one half of a mile in 1/10 of an hour what is Lilly's rate in miles per hour
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You answered 21 out of 25 questions correctly on a test. Did you reach your goal of getting at least 80%?
What is the equation in point slope form of a line that passes through the point (–8, 2) and has a slope of 1/2? Drag a number, symbol, or variable to each box to write a point-slope equation for this line.
Lilly estimated a quotient of 120 and found an actual quotient of 83 explain.
48 is 30% of what number
The number 48 is 30 percent of the number 160.
We have to find 30% of what number is 48.
let the unknown number be x.
so, we can set up the equation as
30% of x= 48
30/100 x = 48
30x = 4800
Divide both side by 30
30x/30= 4800/ 30
Now, simplify
x= 120
Thus, 48 is 30% of 160.
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Which statements are true about the ordered pair (−1,−4)and the system of equations? x−y=3 7x−y=−3
When (−1,−4) is substituted into the second equation, the equation is true.
The ordered pair (−1,−4)is not a solution to the system of linear equations.
When (−1,−4) is substituted into the second equation, the equation is false.
When (−1,−4) is substituted into the first equation, the equation is true.
The ordered pair (−1,−4) is a solution to the system of linear equations.
When (−1,−4) is substituted into the first equation, the equation is false.
Final answer:
The ordered pair (-1, -4) satisfies the second equation (7x - y = -3) but doesn't satisfy the first equation (x - y = 3), so it is not a solution to the system of linear equations.
Explanation:
When evaluating whether the ordered pair (-1, -4) is a solution to the system of equations x - y = 3 and 7x - y = -3, we must substitute x and y into both equations:
For the first equation: (-1) - (-4) = 3 ⇒ 1 + 4 = 3, which is false.For the second equation: 7(-1) - (-4) = -3 ⇒ -7 + 4 = -3, which is true.Given these results, the ordered pair (-1, -4) satisfies the second equation but not the first.
a submarine sandwich 1.5 feet long is cut into 0.25- foot pieces will. how many pieces will there be?
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Jenny earned 92 of a possible 120 points on a test. She lost 4 points for each incorrect answer. How many incorrect answers did she have ?
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Answer:
15
Step-by-step explanation:
The distance traveled by a car at a constant rate is proportional to the time spent driving. In the equation d = 45t, d represents the distance (in miles) and t represents the time (in hours).
A. What is the constant of proportionality? _____ miles per hour
B. How far will a car travel in 3 hours? _______ miles
Answer: A. 45 miles per hour
B. 135 miles
Step-by-step explanation:
Given: The distance traveled by a car at a constant rate is proportional to the time spent driving.
In the equation [tex]d=45t[/tex], d represents the distance (in miles) and t represents the time (in hours).
[tex]\Rightarrow\frac{d}{t}=45\text{ miles per hour}[/tex]
⇒ The constant of proportionality=45 miles per hour.
Also, the distance traveled by car in 1 hour=45 miles
⇒ The distance traveled by car in 3 hours=[tex]3\times45=135\text{ miles}[/tex]
∴ A car will travel 135 hours in 3 hours.
How many quarters, dimes, nickles and pennies make $2,670,474?
Answer: To make $2,670,474 you would need the following number of coins:
• 10,681,896 quarters
• 26,704,740 dimes
• 53,409,480 nickels and
• 267,704,740 penny's.
Step-by-step explanation:
A car can travel 275 miles in 5 hours. Find the average speed in miler per hour.(please show steps!)
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