The number 127 is a prime number as it has no divisors other than 1 and itself.
The number 127 is a prime number. A prime number is defined as a number that is greater than 1 and has no positive divisors other than 1 and itself. To determine if 127 is prime, we must check if it can be divided evenly by any number other than 1 and 127. When we perform this check, we find that 127 does not have any divisors other than 1 and itself, confirming that it is indeed a prime number.
One positive integer is 6 less than twice another. The sum of their squares is 468. Find the integer
The two integers are 12 and 18.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, one positive integer is 6 less than twice another.
Let positive integer be x and the other positive integer is 2x-6
x²+(2x-6)²=468
x²+4x²-24x+36=468
5x²-24x+36-468=0
5x²-60x+36x-432=0
5x(x-12)+36(x-12)=0
(x-12)(5x+36)=0
(x-12)=0
x=12
So, 2x-6=18
Therefore, the two integers are 12 and 18.
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What does the random variable for a binomial experiment of n trials measure?the random variable measures the number of successes out of n trials.the random variable measures the number of failures out of n trials. the random variable measures the standard deviation of n trials.the random variable measures the mean of n trials?
Answer:
The random variable measures the number of successes out of n trials.
Melinda has a map of her city the map uses a scale of 1 inch equals 8 miles when does house is 1 1/2 inches from the library on the map how far apart with her house in the library be on the map if the scale is 1 inch equals 6 miles
Can you please help me out ?
What fraction of the circle does the shaded angle represent??
How many quarter inches long is 7 3/4
The number of quarters in 7 is 28 and the number of quarters in 3/4 is 3. Then the total number of quarters is 33.
What is a fraction number?A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of numerator and denominator.
The quarter is written as one-fourth.
[tex]\rm quarter = \dfrac{1}{4}[/tex]
We have 7 + 3/4
We know that one has 4 quarters then 7 has
→ 7 × 4 = 28
And 3/4 has three quarters.
Then the total quarter will be
[tex]\rm Number\ of \ quarter = 7 \dfrac{3}{4} \times 4 = \dfrac{33}{4} \times 4 = 33[/tex]
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There are 31 quarter inches in 7 3/4 inches. This is determined by converting the mixed number into an improper fraction and then dividing by ¼, which gives us 31/4 or 31 quarter inches.
Explanation:The question asks how many quarter inches there are in 7 3/4 inches. To find this, we can convert the mixed number into an improper fraction and then divide by the fraction representing a quarter inch (¼ inch).
First, convert 7 ¾ to an improper fraction by multiplying the whole number 7 by the denominator 4 and then adding the numerator 3. This gives us 28 + 3 = 31, so 7 ¾ inches is equivalent to ⅔31/4 or 31 quarter inches. Therefore, 7 3/4 inches is 31 quarter inches long.
The legs of a right triangle are 12 cm and 16 cm. What is the length of the hypotenuse? 15 cm 17 cm 20 cm 28 cm
Answer:
20cm
Step-by-step explanation:
kenny wants to buy gifts for all 18 of his co workers. He can buy t shirts for $10 and hats for $12. He plans on spending $200 for all 18 gifts. If Kenny wants to spend all of his money, how many of each type of gift can he buy?
Solve using the arrow way
430-230?
Hayden is a manager at a landscaping company. He has two workers to landscape an entire park, Cody and Kaitlyn. Cody can complete the project in 8 hours. Kaitlyn can complete the project in 6 hours. Hayden wants to know how long it will take them to complete the project together.
Write an equation and solve for the time it takes Cody and Kaitlyn to complete the project together. Explain each step.
Denote all work that should be done as 1. Then if Cody can complete the project in 8 hours, he can do [tex] \frac{1}{8} [/tex] per hour and if Kaitlyn can complete the project in 6 hours, then she can do [tex] \frac{1}{6} [/tex] per hour. Together they complete [tex] \frac{1}{8}+\frac{1}{6} [/tex] per hour.
Simplify this expression:
[tex] \dfrac{1}{8} +\dfrac{1}{6} =\dfrac{3}{24} +\dfrac{4}{24}=\dfrac{7}{24} [/tex].
Then it will take them to complete the project together [tex] \dfrac{1}{\frac{7}{24}} =\dfrac{24}{7} =3\dfrac{3}{7} [/tex] hours
Answer: It will take them to complete the project together [tex] 3\dfrac{3}{7} [/tex] hours.
Martha is standing on a street corner in a big city, facing south. She walks 5 blocks to the south. Then, she turns right and walks 3 blocks. Then, she turns right as walks 2 blocks. Then, she turns right again and walks 1 block. Finally, she turns left and walks 5 blocks. What direction is she facing when she is done?
In the north direction, Martha facing if the Martha is standing on a street corner in a big city, facing south.
What is direction?The four cardinal directions, sometimes known as cardinal points, are the four principal compass directions: north, east, south, and west, which are frequently abbreviated as N, E, S, and W.
We have:
Martha is standing on a street corner in a big city, facing south. She walks 5 blocks to the south.
Then, she turns right and walks 3 blocks. Then, she turns right as walks 2 blocks. Then, she turns right again and walks 1 block.
If we draw a line diagram, we will see:
She will be facing at North.
Thus, in the north direction Martha facing if the Martha is standing on a street corner in a big city, facing south.
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Select the ratios that are equivalent to 3 boys and 5 girls
Find the difference (7a-6b+7) - (8a-2)
Emily measures 3 pieces of string. The first piece measures 642 cm. The second piece measures 124 cm, and the third piece is 134 cm. How many meters of string does she have altogether? (hint: 1 meter equals 100 centimeters)
Alex lives eight tenth of a mile from Sarah. What is eight tenths written as a decimal
you lease a car valued at 23,495 for 3 years at $429.95/month with a $500 down payment. If interest is 30% of the payment, how much interest is paid over the 3 years?
Solution:
Present Value of car= $ 23,495
Down Payment = $ 500
Total Amount paid monthly for 3 years that is 36 months, if you pay $ 429.95 per month=$ 15478.20
Total amount paid for the car as an agreement which includes Down payment of $ 500 as well as monthly Payment of $ 429.95 for 36 months= $ 15478.20+$ 500=$ 15978.20
As, given Interest is 30% of the payment.
So, total interest = 30% of $ 15978
[tex]=\frac{30}{100}\times 15978.20[/tex]
= $ 4793.40
But if you will calculate interest on payment of $ 429.95 at the rate of 30%, it gives
[tex]=\frac{30}{100}\times 429.95[/tex]
= $128.985
So, total interest for 3 years= $128.985 ×36=$ 4643.46
Also, if you will calculate interest on payment of ($500+$429.95=$929.95) at the rate of 30%
[tex]=\frac{30}{100}\times 929.95[/tex]
=$278.985
Total interest for 3 years= $278.985 ×36=$10,043.46
Jose and Sue are playing a board game. If they land on a red or blue square, they lose 1 point. The inequality statement compares the magnitude of their scores at the end of the game. |−2|<|−5| What does the inequality statement show?
The inequality statement |−2|<|−5| shows that 2 is less than 5.
Explanation:In mathematics, an inequality compares two expressions or values, indicating their relative size. Symbols such as < (less than), > (greater than), ≤ (less than or equal to), and ≥ (greater than or equal to) represent inequalities.
The inequality statement |−2|<|−5| compares the magnitude of two numbers, -2 and -5. To find the absolute value of a number, we remove the negative sign. So, |−2| is equal to 2 and |−5| is equal to 5. Therefore, the inequality statement |−2|<|−5| means that 2 is less than 5.
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James Callahan has available a 10% alcohol solution and a 60% alcohol solution. Find how many liters of each solution he should mix to make 50 liters of a 40% alcohol solution?
Two cones have a radius of 2 cm. The height of one cone is 8 cm. The other cone is 14 that height. Which of these statements is NOT true?
What is the circumference of circle p? Express your answer in terms of pi , ab = 14
Answer:
14 pi in.
Step-by-step explanation:
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which is more, 5,998 millimeters or 6 meters
Which equivalent expression will be generated by applying the Distributive Property and combining like terms in the expression 11 + 4(x + 2y + 4)?
A city council consists of six democrats and five republicans. If a committee of seven people is selected, find the probability of selecting four Democrats and three republicans.
What is the approximate volume of the cylinder with a height of 5 and a diameter of 4? round to the nearest tenths place
A cab driver is paid $6 plus $0.45 per mile driven. Which expression shows the amount of money the cab driver earns in m miles?
Answer:
C/ 0.45m + 6
Step-by-step explanation:
i did the quiz
Please help me with questions 8 and 9
108+621 is the same as 100+ what
Find the solution of the differential equation that satisfies the given initial condition. du/dt = (2t+sec^2t)/2u, u(0) = -3
PLZ HELP!! 20 points!
Is (3,-2) the solution to this system of equations? show how you determined your answer.
-2x-4y=2
3x+4y=8
HELP SUPER FAST PLS A rectangular cardboard has dimensions as shown. The length of the cardboard can be found by dividing its area by its width. What is the length of the cardboard in inches?
Rectangle with width labeled on the right, width equals 4 and 1 over 2 inches. Below the rectangle, it says, length equals question mark. Inside the rectangle, it says area equals 36 and 3 over 4 square inches
Answer:
8 1/6
Step-by-step explanation:
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