The number that is 70 percent of the number 70 will be 49.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
Let the number be 'x'. Then the equation is given as,
x = 70% of the 70
Simplify the equation, then the value of the number is calculated as,
x = 70% of the 70
x = 0.70 × 70
x = 49
The number is 49.
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A square piece of cheese covers 8 square inches of a plate. What is the approximate length of one side of the piece of cheese? (Approximate to the nearest hundredth inch.)
area of a square - S^2, where S is the length of a side
to find S when you know the area, take the square root
so S = sqrt(8)
S = 2.828
rounded to nearest hundredth = 2.83 inches
a circle has its center at (-2,3) and a radius of 5. What is the equation for the circle?
what is a rule for the function represented by (0,2/19) (1,1 2/19) (2,4 2/19) (3, 9 2/19) (4, 16 2/19) (5, 25 2/19)
Final answer:
The rule for the function with the given points is f(x) = x^2 + 2/19, as derived from observing the relationship between x-values and their corresponding y-values where the y-values increase by the square of the x-value with a constant fractional part of 2/19.
Explanation:
To find the rule for the function represented by the set of points given, we need to look for a pattern in the y-values relating to the x-values. The provided points are (0,2/19), (1,1 2/19), (2,4 2/19), (3, 9 2/19), (4, 16 2/19), and (5, 25 2/19). Observing the differences between the y-values, it appears that the fractional part remains constant at 2/19, whereas the whole number part increases by the square of the x-value. Therefore, we can express the function rule as f(x) = x2 + 2/19.
Let's verify this by substituting the x-values from the points into our proposed rule:
f(0) = 02 + 2/19 = 2/19f(1) = 12 + 2/19 = 1 2/19f(2) = 22 + 2/19 = 4 2/19f(3) = 32 + 2/19 = 9 2/19f(4) = 42 + 2/19 = 16 2/19f(5) = 52 + 2/19 = 25 2/19As we can see, the values match perfectly, confirming that the rule of the function is indeed f(x) = x2 + 2/19.
Each U.S. penny weighs 2.5 grams. How many pennies, x, are on a scale if their total weight is
37.5 grams?
Identify an equation that models the problem and find its solution.
Emily brought $35 to the fair. At the fair, she spent $16 on ride tickets and she also bought
lunch. She had $7 when she left the fair. How much did Emily spend on lunch?
An average person in the United States throws away 4.5 × 10² g of trash per day. In 2013, there were about 3.2×106 people in the U.S.
About how many grams of trash was thrown away in the United States in 2013?
5.3 × 10^__ g
what is 4x+13=(-8)-3x
An object is traveling at a steady speed of 8 2/3 mph how long will it take the object to travel 5 1/5 miles
It will take 36 minutes for an object to travel 5 1/5 miles at a steady speed of 8 2/3 mph.
To find out how long it will take an object traveling at a steady speed of 8 2/3 mph to travel 5 1/5 miles, you can use the formula
time = distance / speed.
First, convert the mixed numbers to improper fractions:
Speed: 8 2/3 mph = (8 × 3 + 2) / 3 = 26/3 mph
Distance: 5 1/5 miles = (5 × 5 + 1) / 5 = 26/5 miles
Next, calculate the time:
Time = Distance / Speed
= (26/5) miles / (26/3) mph
= (26/5) × (3/26) hours
= 3/5 hours
To convert hours into minutes, multiply by 60:
= 3/5 hours × 60 minutes/hour
= 36 minutes
The product of six minus a number and five equals sixty when divided by 2. Which equation represents the sentence? A) 6(x - 5) 2 = 60 Eliminate B) 5(x - 6) 2 = 60 C) 6(5 - x) 2 = 60 D) 5(6 - x) 2 = 60
solve a
a-20=b
a=
plzz help
Round 646,592 to the nearest ten thousand
A scuba diver is swimming 15 feet below the water’s surface. The diver swims up slowly at 0.5 feet per second for 4 seconds; and then stops to look at an eel. Finally, the diver swims up for 3 more seconds at 0.4 feet per second. What is the diver’s new depth
Answer: The diver's new depth is 11.8 feet below the water's surface.
Step-by-step explanation:
Since we have given that
Depth below the water's surface = 15 feet
The diver swims up slowly at 0.5 feet per second for 4 seconds.
Number of miles he swims up is given by
[tex]0.5\times 4\\\\=2\ feet[/tex]
Number of miles he swims up for 3 more seconds at 0.4 feet per second.
So, Number of miles he swims up is given by
[tex]0.4\times 3\\\\=1.2\ feet[/tex]
So, the diver's new depth would be
[tex]-15+2+1.2\\\\=-15+3.2\\\\=-11.8\ feet[/tex]
Hence, the diver's new depth is 11.8 feet below the water's surface.
Susan claims: If a family has already got four boys, then the next baby is more likely to be a girl than a boy. Is she correct? Explain your answer fully.
jake bought a shirt on sale for $80. The sale price of the shirt had been reduced by $40. What was the percent markdown on the shirt
what is the solution to r/-3 = 12
there are 10 less red skittles than orange Skittles in a bag. The orange Skittles are also twice the number of red skittles. Find the number of red and orange Skittles in the bag.
Answer: there are 20 orange skittles and 10 red skittles in the bag.
Explanation:
Since we have given that
Let the number of red skittles be x
Let the number of orange skittles be 2x
According to question,
[tex]2x-x=10\\x=10[/tex]
So, there are 10 red skittles in the bag and
The number of orange skittles in the bag is given by
[tex]2x=2\times 10=20[/tex]
Hence, there are 20 orange skittles and 10 red skittles in the bag.
The number of red and orange Skittles in the bag are;
I. Red skittles, R = 10
II. Orange skittles, S = 20
Let the orange skittles be denoted by S.Let the red skittles be denoted by R.To find the number of red and orange Skittles in the bag;
Translating the word problem into a mathematical (algebraic) expression, we would have;
[tex]R = S - 10[/tex] ....equation 1.
[tex]S = 2R[/tex] ....equation 2.
Substituting eqn 2 into eqn 1, we have;
[tex]R = 2R - 10\\\\2R - R = 10[/tex]
Red skittles, R = 10
To find the number of orange skittles;
[tex]S = 2[/tex] × [tex]10[/tex]
Orange skittles, S = 20
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Last year a baseball team pay $20 per bag $12 glove, spending a total of $1,040. This year the price went up to $25 per bat and $16 per glove. The team spent $1,350 to purchase the same amount of equipment as last year. How many bats and gloves does it take purchase each year?
1-3 write in simplest form.Does the first factor increase or decrease explain please
Write an integer for each situation identify its opposite and describes its meaning
Question: 5 strokes above par
The integer representation of '5 strokes above par' is '+5', while its opposite is '-5', representing '5 strokes under par'. The positive and negative signs indicate whether you are above or below the par in golf.
Explanation:In the context of golf, '5 strokes above par' means that it took five more strokes than the par to complete a hole or course. We can express '5 strokes above par' as the integer +5. In this context, the positive sign in front of 5 indicates you are above par, which means it took you more swings to finish.
Conversely, the opposite of +5 is -5. This would mean '5 strokes under par,' suggesting that it took five fewer strokes than the par to finish the hole or course. Note that in golf, being under par is generally better as it means you needed fewer swings to complete the course.
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I need to learn how to do this
2x + 6 >-6
subtract 6 from both sides
2x > -12
divide both sides by 2
x > -6
A school has 90 children. During the day each child attends 4 classes. Each class has 15 children and 1 teacher. During the day each teacher teaches 3 classes. What is the smallest number of teachers the school can have.
Gordon types 1800 words in 25 min how many words did he type per min
how old am I if 500 reduced by 3 times my age is 230?
Jessie enjoys running everyday for excercise. On Monday, he ran 3.30 miles. On Tuesday, he ran 3.09 miles and on Wednesday he ran 2.98 miles. On what day did Jessie run the farthest?
Jessie ran the farthest on Monday when he ran 3.30 miles.
Explanation:To determine on which day Jessie ran the farthest, we need to compare the distances he ran on each day. Let's list the distances:
Monday: 3.30 milesTuesday: 3.09 milesWednesday: 2.98 milesFrom the list, we can see that Jessie ran the farthest on Monday when he ran 3.30 miles.
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recall that two angles are complementary if the sum of their measure is 90 degrees find the measure of the two complementary angles if one of the angle is twice the other
In a class, three students were running for president. Sara got 1/2 of the votes, Mike got 1/3 of the votes. What fraction of the votes did Imani get?
I have only 2 right side and no line segments of equal length
A container holds 70,000 ounces of water. There is a small leak in the container. Every 96 minutes, 1.5 ounces of water leaks out. Represent the total change in the amount of water in the container after 4 hours
What is a line segment???
The most basic figure in geometry is called a point. For example, point A which can also represent as .A. If we have a point, we usually we usually label it with a capital letter. If we have two points such as points X and Y, we can introduce our next figure in geometry which is called a line segment. For example, segment XY. A line segment is defined as a figure that is composed of two points which are called the endpoints and all the points in between. Segment XY can be represented as XY with a segment drawn over it.
A horse is 45 pounds more than six times its rider's weight. If they weigh a total of 710 pounds, how much does the horse wiegh?
The horse weighs 615 pounds.
Explanation:Let's assume the rider's weight is x.
The horse's weight is 6 times the rider's weight plus 45 pounds: 6x + 45.
The total weight of the horse and rider is 710 pounds: 6x + 45 + x = 710.
Combining like terms: 7x + 45 = 710.
Subtract 45 from both sides: 7x = 665.
Divide both sides by 7: x = 95.
So, the rider weighs 95 pounds.
Substitute x = 95 back into the equation to find the horse's weight: 6(95) + 45 = 570 + 45 =
The horse weighs 615 pounds.
To solve this problem, we will set up an equation where [tex]\( h \)[/tex] represents the horse's weight and [tex]\( r \)[/tex] represents the rider's weight. According to the problem:
1. The horse's weight is 45 pounds more than six times the rider's weight, so we can express this as:
[tex]\[ h = 6r + 45 \][/tex]
2. The total weight of the horse and the rider is 710 pounds, so we have:
[tex]\[ h + r = 710 \][/tex]
Now we have a system of equations:
[tex]\[ h = 6r + 45 \][/tex]
[tex]\[ h + r = 710 \][/tex]
We can substitute the first equation into the second to solve for \( r \):
[tex]\[ (6r + 45) + r = 710 \][/tex]
[tex]\[ 7r + 45 = 710 \][/tex]
Now, we solve for[tex]\( r \)[/tex]:
[tex]\[ 7r = 710 - 45 \][/tex]
[tex]\[ 7r = 665 \][/tex]
[tex]\[ r = \frac{665}{7} \][/tex]
[tex]\[ r = 95 \][/tex]
Now that we have the rider's weight, we can find the horse's weight:
[tex]\[ h = 6r + 45 \][/tex]
[tex]\[ h = 6 \times 95 + 45 \][/tex]
[tex]\[ h = 570 + 45 \][/tex]
[tex]\[ h = 615 \][/tex]
3n-(2 + n) what value makes this expression equal to 6?
A.5 B.6 C.3 D.4