The contrapositive of the proposition 'If the lights are off, then there is no one inside' is 'If there is someone inside, then the lights are not off'. Contrapositives are formed by negating and interchanging the hypothesis and conclusion of a conditional statement, and is a key concept in mathematics.
Explanation:In logic, the contrapositive of a conditional statement is formed by negating both the hypothesis and the conclusion, and then interchanging the resulting negations. So, the contrapositive of the given proposition 'If the lights are off, then there is no one inside' would be 'If there is someone inside, then the lights are not off'.
This implies that, in the context of this statement, if we know that there is someone inside, we can deduce that the lights must not be off as per the contrapositive. Thus, contrapositives are a helpful way to understand conditional statements from another perspective, and are an integral concept in logic and mathematics.
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Find the measure of the numbered angles
I am the largest 7-digit number you can write with the digits 3, 6, 9, 4, 0, 8, and 2
13x = 32 + 5x this one is solving the equation and checking the solution
What is the solution to this equation? 3(d+2)−12=d−2 A)d = 2 B)d = 4 C)d = 8 D)d = 10
Answer: d = 2
Step-by-step explanation:
3(d+2)−12=d−2
How do you solve this using the elimination method of systems of equations?
The sum of three integers is 74. The first integer is twice the second and the third is six more than the second. What are the three integers
Which function represents the graph of y=10(4)x ?
f
g
h
j
Find the possible values of n in the inequality -3n<81
A. n<27
B. n>-27
C. n=-27
D. n=27
18 out of the 25 students are going on the field trip. What percent of the students are going on the field trip?
can you provide the math to please
How do you solve this math problem-2(x+3y)=18
Compare and contrast the different battles that took place at: Ticonderoga, Necessity, William Henry, Quebec, Montreal, and Duquesne.
Valerie and Bret have a total of 24 dog show ribbons.bret has twice as many ribbons as Valerie how many ribbons does each have
Walmart is advertising a sale where all Lego sets are 15% off. Mrs. Snyder decides to purchase a Lego set that originally cost $39. What will Mrs. Snyder pay for the Lego set on sale?
A lab technician is diving a cell that has a diameter of 4.32 x 10^-4 millimeters. Each of the new cells has a diameter measuring exactly one half of the diameter of the original cell . Which is the diameter of the new cell ? A. 2.16 x 5^-2 B. 2.16 x 10-2 C.2.16 x 5-4 D.2.16x 10^-4
The diameter of the new cell, which is exactly half the diameter of the original cell (4.32 x 10^-4 millimeters), is 2.16 x 10^-4 millimeters.
Explanation:The lab technician is dividing a cell with an original diameter of 4.32 x 10^-4 millimeters. The new cells' diameter is stated to be exactly one half of the original diameter. Therefore, to find the diameter of the new cell, simply take half of the original cell's diameter. This can be accomplished by dividing the numerical value of the diameter by 2, which would be 4.32/2 = 2.16. The exponent remains the same because the size (magnitude) of cell diameter is only halved, not the order magnitude. So the diameter of the new cell is 2.16 x 10^-4 millimeters.
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shari’s class is making team pennants for an upcoming field day.they cut the pennants out of a large sheet of paper in the pattern shown below. the area of the whole pattern is 1600 cm2. they need to know the length of the pennant base how long is the base of each pennant
Answer:
10cm Base
Step-by-step explanation:
Actually the answer is 10 cm for the base.
First step is take 1600cm2 and divide it by 4 (or how many pendents you have) so it'll look like this
1600/4 =400cm2
Then you need to find the area of the Triangles.
Area of the Triangle=1/2xbase xheight
400=1/2xbx80
400=40xb
10=b
Answer: 10cm Base
Step-by-step explanation:
One tank is filling at a rate of 5/8 gallon per 7/10 hour. A second tank is filling at a rate of 5/9 gallon per 2/3 hour. Which tank is filling faster? Explain how you know.
On a string of red and blue lights, the red lights blink everyb3 seconds, and the blue lights blink every 5 seconds. How many times will they blink at the same time in one minute?
The red and blue lights will blink at the same time 4 times in one minute.
Explanation:To determine how many times the red and blue lights will blink at the same time in one minute, we need to find the time at which both the 3-second cycle of the red light and the 5-second cycle of the blue light coincide. This is equivalent to finding the least common multiple (LCM) of 3 and 5. The LCM of 3 and 5 is 15, which means they will blink at the same time every 15 seconds.
Since there are 60 seconds in a minute, we need to find how many times 15 seconds fit into 60 seconds. 60 ÷ 15 = 4. Therefore, the red and blue lights will blink at the same time 4 times in one minute.
Answer: The red and blue lights will blink at the same time 4 times in one minute.
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Write 2687 in expanded form
Kirk has 12 dollars less than jim if Jim spends half of his money and Kirk spends none then Kirk will have two dollars more than jim how much money did they both start with
0.64 divided by 4 in standard algorithm
Answer:
Quotient = 0.16, Remainder = 0
Step-by-step explanation:
Standard algorithm of division is a step by step procedure to perform division.
In this question we have to divide 0.64 by 4, therefore, 0.64 is the dividend and 4 is the divisor.
Steps:
Zero times four is 0. Then we put decimal point in our quotient.
Continuing one times 4 is 4. We subtract 4 from 6 to have remaining value of 2. Then, we copy down 4. Thus, the remaining value now is 24.
Six times four is 24. Thus, the remaining value is zero.
Hence, we get the remainder of zero and quotient 0.16.
When 0.64 is divided by 4 using standard algorithm, we get 0.16.
What is Division?
Division in maths is the process of breaking a number up into equal parts, and finding out how many equal parts can be made.
Given is 0.64 divided by 4.
In order to divide 0.64 by 4, follow the given steps -
1 : 4 multiplied by 0 is equal to 0. Start writing the quotient as by writing 0 and decimal point after it.
2 : 4 multiplied by 1 is 4 and when 4 is subtracted from 6, we get 2. The quotient will now become 0.1 . Bring 4 down, next to 2.
3 : Now, 24 divided by 4 gives 6, this will leave remainder 0 and the final quotient will be 0.16
Therefore, 0.64 divided by 4 using standard algorithm, we get 0.16.
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The baker used 3 1/2 cups of pastry flour for every 1 1/2 cups of wheat flour. How many pastry flour is used per cup of west flour?
The baker used 2 1/3 cups of pastry flour per cup of wheat flour.
Explanation:To find out how many cups of pastry flour are used per cup of wheat flour, we can set up a proportion based on the given information:
3 1/2 cups pastry flour / 1 1/2 cups wheat flour = x cups pastry flour / 1 cup wheat flour
We can solve for x by cross-multiplying:
(3 1/2)(1) = (1 1/2)(x)
7/2 = 3/2x
Now we can solve for x by dividing both sides of the equation by 3/2:
(7/2) ÷ (3/2) = x
7 ÷ 3 = x
x = 2 1/3
Therefore, the baker used 2 1/3 cups of pastry flour per cup of wheat flour.
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The heights of four boys measured 152.0 cm, 150.75 cm, 149.5 cm, and 149.25 cm. Bradley is the tallest, Calvin is taller than josh, but shorter than Mark. Josh is the shortest. What is Mark's height
How can I solve this?
f(x) =
[tex] {10}^{x} [/tex]
Solve,
[tex] {f}^{ - 1} (1)[/tex]
.
Simplify. -(2/3)(-9y)(3/2)(8x)(1) A. 72xy B. –72xy C. 72 D. 0
Write two ratios that are equivalent to 5/7
Tara makes 30 cups of donut topping by mixing sugar and cinnamon. The ratio of sugar to cinnamon is shown in the tape diagram.
Answer: 18 cups.
Step-by-step explanation:
From the given picture we can see
The ration of sugar to cinnamon in the donuts topping =[tex]\frac{\text{no. of blue box }}{\text{no. of green box}}=\frac{3}{2}=3:2[/tex]
Thus, the number of sugar cups to make 1 donuts topping=[tex]\frac{3}{3+2}=\frac{3}{5}[/tex]
The number of sugar cups to make 30 cups of donuts toppings[tex]\frac{3}{5}\times30[/tex]
[tex]=3\times6\\=18\ cups[/tex]
The number of cups required to make 30 cups of donuts toppings=18 cups
the product of 2 consecutive natural numbers is greater than their sum by 109. find the numbers
the universal set is represented in a venn diagram by
8 is 40 percent of what number
Answer:
20%
Step-by-step explanation: So 40 percent = 100 percent. If you divide 40 percent by 5 you get 8. 1/5 is equal to 20% and 8 is a fifth of 40. So the answer is 20%.
We have that the 8 is 40 percent of 20 and it is mathematically given as
x=20
Arithmetic
Question Parameters:
8 is 40 percent of what number
Generally the equation for the statement is mathematically given as
x*40%=8
Therefore
x*40%=8
x*0.4=8
x=20
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Can anyone explain this to me?