Answer: 7 more lemons
Step-by-step explanation:
Since she needs 448 ounces of lemonade you have to divide which is 5.6 . As a result there are 5.6 80 ounces of lemonade. 80 ounces needs 8 lemons. 448 ounces of lemonade are needed 8 x 5.6 = 44.8 lemons. Tanisha only has 38 lemons, which isn't enough. 44.8 - 38 = is about 7 more lemons.
12,349 is what percent of of 278,901
Fórmula para sacar el área de un circulo
Eric plans to rent a car for a day from Easy Car Rental. He has a coupon for 25% off the daily base rate of $40. He will also have to pay an additional $0.15 for each mile he drives. Which expression represents the situation?
What is the solution of the equation 2 + 3x = 7? round your answer to the nearest ten-thousandth. 0.2218 0.4522 0.6826 1.4650?
The solution to the equation 2 + 3x = 7 is x = 5/3. When rounded to the nearest ten-thousandth, the answer is 1.6667.
To find the solution to the equation 2 + 3x = 7, you first isolate the variable x by subtracting 2 from both sides of the equation.
This gives you 3x = 5.
Next, you divide both sides of the equation by 3 to solve for x, which yields x = 5/3.
When you divide 5 by 3 using a calculator, you get 1.66666666...
Since we need to round our answer to the nearest ten-thousandth, this becomes 1.6667.
Therefore, the solution to the equation 2 + 3x = 7, rounded to the nearest ten-thousandth, is 1.6667.
Paula caught a tarpon with a weight that was 11 times as great as the weight of a permit fish she caught. The total weight of the two fish was 180 pounds. How much did each fish weigh?
The weight of the permit fish will be 15 pounds and the weight of tarpon will be 165 pounds
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Assume that the weight of the permit fish is x pounds.
Then the weight of the tarpon would be 11x pounds.
According to the question, we can write equation as -
x + 11x = 180
12x = 180
x = 15
Weight of permit fish = 15 pounds
Weight of tarpon = 11 x 15 = 165 pounds
Therefore, the weight of the permit fish will be 15 pounds and the weight of tarpon will be 165 pounds.
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5. A high school has 16 math teachers for 1856 math students. What is the ratio of math teachers to math students?
The ratios are calculated to know the quotient of two quantities. In order to find the ratio, the first quantity is written in numerator i.e. the upper part of the fraction and the second quantity is written in denominator i.e. the lower part of the fraction.
Here, it is given that the total number of Maths teachers are = 16
Total number of Maths students are = 1856
The ratio of Maths teachers to Maths students is calulated as -
Ratio of Maths teachers to Maths students = [tex] \frac{Maths Teachers}{Maths Students} [/tex] = [tex] \frac{16}{1856} [/tex]
Ratio of Maths teachers to Maths students = [tex] \frac{1}{116} [/tex] = 1:116
If an egg is thrown up and off the roof of a 100 foot building with an initial upward velocity of 10 feet per second, how long until it hits the ground?
Kym spends an average of $78 per week on groceries. She can save 10% of her total grocery bill by joining the store's free shopper's club.About how much money will Kym save in a year (52 weeks) if she joins the shopper's club
The size of a television is given by the length ofthe diagonal of the screen. the ratio of the height to the width of wide flat-screen tv is 8:15. find expressions for the width and height of a wide-screen tv in terms of the length of its diagonal.\
A technician is launching fireworks near the event of a show. Of the remaining 11 fireworks, 4 are blue and 7 are red. If she launches 6 of them what’s the probability that 2 of them will be blue
[tex] \displaystyle
|\Omega|=\binom{11}{6}=\dfrac{11!}{6!5!}=\dfrac{7\cdot8\cdot9\cdot10\cdot11}{2\cdot3\cdot4\cdot5}=462\\
|A|=\binom{4}{2}=\dfrac{4!}{2!2!}=\dfrac{3\cdot4}{2}=6\\\\
P(A)=\dfrac{6}{462}=\dfrac{1}{77}\approx1\% [/tex]
If i = sqrt -1 what is the value of i3
A. -1
B. i
C. 1
D. -i
Answer:
The value of i3 is equal to D. -i
Step-by-step explanation:
We can find the answer by taking the definition of i :
i = sqrt(-1) (1)
i ^2 = (sqrt(-1)) ^2 = -1 (2) because square root and squaring are inverse operations
so from (2)
i ^3= i ^2* i = -1*i = -i
So -i is the final answer or – (sqrt(-1)) which is the same
A vegetable store sold 3 tons of vegetables less on the first day than on the second, and on the third day it sold 5/9 of the amount sold in the first two days. How many vegetables was the store selling every day if it sold altogether 98 tons of vegetables for the three days?
A number line contains points Q, R, S, and T. Point Q is on the coordinate 24, R is on the coordinate 28, S is on the coordinate 29, T is on the coordinate 42. Find the probability that a point chosen at random on QT is on ST. Express your answer as a percent.
A. 25%
B. 42.2%
C. 50%
D. 72.2%
Answer: Option 'D' is correct.
Step-by-step explanation:
Since we have given that
A number line contains points Q, R, S, and T
Point Q is on the coordinate 24
Point R is on the coordinate 28
Point S is on the coordinate 29
Point T is on the coordinate 42
So, According to given condition,
QT is on the coordinate is given by
[tex]42-24=18[/tex]
ST is on the coordinate is given by
[tex]42-29=13[/tex]
So, probability that a point chosen at random on QT is on ST is given by
[tex]\frac{13}{18}\times 100\\\\=72.22\%[/tex]
Hence, option 'D' is correct.
a speed camera takes two photographs of a car
Answer:The answer is 14.4 m/s
Step-by-step explanation:
A five question multiple choice quiz has five choices for each answer. Use the random number table provided, with 0’s representing incorrect answers, and 1’s representing correct answers to answer the following question: What is the experimental probability of correctly guessing at random exactly two correct answers?
Probability of correctly guessing at random exactly two correct answers is; 25%
How to find the experimental probability?
The table is missing but from the table shared by the first answer, we can count the number of guesses that has two correct answers.
Now, the ones that have two number of 1's are referred to as correct answers. Thus, counting them in the question, they are;01010, 10001, 11000, 01001, 00011.
Thus, there are 5 posssible correct answers out of 20. Thus;
Probability of correctly guessing at random exactly two correct answers is; 5/20 = 25%
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Sam wants to know how long it will take to fill his baby pool that holds 24 gallons. After 1 minute, there are 2 gallons of water in the pool. He plots the points (0,0) and (1,2) on his coordinate plane. What is the x-value of the point (x, 24)? A) 6 B) 12 C) 23 D) 25
The unit rate is gallons per minute, which in this case is 2 gallons per minute. Therefore it will take 12 minutes to fill up a 24 gallon pool.
Jacob is cutting a tile in the shape of a parallelogram. Two opposite angles have measures of (6n − 70)° and (2n + 10)°. What are the two different angle measures of the parallelogram-shaped tile? 20° and 160° 50° and 130° 30° and 150° 70° and 110°
URGENT
Answer:
Step-by-step explanation:Jacob is cutting a tile in the shape of a parallelogram. Two opposite angles have measures of (6n − 70)° and (2n + 10)°.
Answer : 50° and 130°
To find the angle measures of the parallelogram, we set the expressions for opposite angles equal to each other, solve for 'n', and then determine the angle measures, which are 50° and 130° respectively.
Explanation:The students wants to find the two different angle measures of a parallelogram-shaped tile where two opposite angles are given by the equations (6n − 70)° and (2n + 10)°. Since opposite angles in a parallelogram are equal, we can set these two expressions equal to each other to find the value of 'n':
6n − 70 = 2n + 10
Solving for 'n', we get:
4n = 80
n = 20
Now, we'll plug the value of 'n' back into the expressions to get the angle measures:
6n − 70 = 6(20) − 70 = 120 − 70 = 50°
2n + 10 = 2(20) + 10 = 40 + 10 = 50°
Since opposite angles are equal in a parallelogram, the other two angles must also add up to 180°. Therefore, the other two angles are 180° - 50° = 130°. The angles of the parallelogram are 50° and 130°.
Rearrange the formula m =
x + y / 2
for y.
A) y = 2mx
B) y = 2m - x
C) y = x - 2m
D) y = 2m + x
The sum of the square of a positive number and the square of 44 more than the number is 250250. what is the number?
Factor this trinomial.
x2 – 8x + 15
A. (x – 1)(x – 15)
B. (x – 3)(x + 5)
C. (x – 3)(x – 5)
D. (x – 1)(x + 15)
To factor x^2 -8x + 15, we find two numbers that multiply to get 15 and add to get -8. These two numbers can be -5 and -3. Therefore, this factors as
x^2 - 8x + 15 = (x-5)(x-3)
What is the length of XPY in terms of pi?
The length of arc XPY in the given circle with a radius 30m is in terms of pi is 45π.
It is given that
The radius r of the circle = 30m
Central angle α intended by arc XPY = 360-90 = 270°
α in radians = 270*π/180
α in radians = 3π/2
What is the formula for arc length?Arc length is the product of the central angle α and radius r of the given circle.
So, length of arc XPY:
l= r*α(in radians)
l =30* 3π/2
l = 45π
Therefore, the length of arc XPY in terms of pi is 45π.
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A painter places an 8.5 ft ladder against a wall. the bottom of the ladder is 4 ft from the base of the wall. how high up the wall does the ladder reach?
PLEASE HELP!
A circle is centered at (11, −9) and has a radius of 12.
What is the equation of the circle?
Enter the equation in the box using lower case variables x and y.
In the year 2000, there were 200,000 cell phone subscribers in a city in New York. The number of subscribers increased by 60 percent per year after 2000. Which equation can be used to model the number of subscribers, y, in the city t years after 2000?
A) y=200,000(1+60)t
B) y=200,000(1+0.6)t
C) y=200,000(1-60)t
D) y=200,000(1-0.6)t
Answer: The answer is B
Step-by-step explanation:
write the expression in complete factored form, 4c(y+3)+(y+3)
A map is drawn using a scale of 80 mi to 1 cm. On the map , the two cities are 7.5 cm apart. What is the actual distance between the two cities ??
A test has multiple choice questions with 5 choices for each answer; only one answer is correct for each question. Suppose a student guesses the answer to each question. Assuming the guesses are independent, find the probability that the student will not guess correctly on any one question.
a. 0
b. 1/5
c. 4/5
The value of the probability that the student will not guess correctly on any one question is,
⇒ 4 / 5
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Given that;
A test has multiple choice questions with 5 choices for each answer; only one answer is correct for each question.
Now, Suppose a student guesses the answer to each question.
Hence, we get;
The value of the probability that the student will not guess correctly on any one question is,
⇒ 4 / 5
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x/3+6=9
what does x equal
x=___?
9514 1404 393
Answer:
9
Step-by-step explanation:
x/3 +6 = 9 . . . . . given
x/3 = 3 . . . . . . . subtract 6 from both sides
x = 9 . . . . . . . multiply both sides by 3
Now we have to,
find the required value of x.
→ x/3 + 6 = 9
→ x/3 = 9 - 6
→ x/3 = 3
→ x = 3 × 3
→ [x = 9]
Hence, 9 is the value of x.
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Simplify by using radical. Rationalize denominators. 2a^-1\2
20 POINTS AND A FOLLOW plus BRAINIEST IF RIGHT 1. What is the area of sector GHJ, given that 0=pi/4 radians ? Express your answer in terms of pi and as a decimal rounded to the nearest tenth. Show your work.
2. Construct the circle that circumscribes triangle DEF . Use a straightedge and a compass.
(show work by step)