what is the converse to the following conditional statement if x=12 then 2x-5=19
Final answer:
The converse of the given conditional statement 'if x=12 then 2x-5=19' is 'if 2x-5=19, then x=12'. To verify its truth, we solve for x when 2x-5 equals 19, resulting in x equaling 12, thus showing that in this instance, the converse is true.
Explanation:
The converse of a conditional statement is formed by swapping the hypothesis and the conclusion of the original statement. For the statement 'if x=12 then 2x-5=19', its converse would be 'if 2x-5=19, then x=12'. To test the validity of the converse, we substitute the value of x back into the equation 2x-5 and check if it equals 19 when x=12.
However, we need to be cautious because the converse of a true conditional statement is not always true. To determine the truth of the converse, one must check if every instance where 2x-5 equals 19 also means that x must be equal to 12. If there is even a single case where 2x-5 is 19 and x is not 12, then the converse is not true.
For instance, let's test the converse: If we solve the equation 2x-5=19 for x, we get:
x = (19+5)/2
x = 24/2
x = 12
Therefore, for this specific case, the original statement and the converse are both true.
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In a group of 60 students, 12 students take Algebra I, 18 students take Algebra II, and 8 students take both subjects. How many students don't take either of these subjects?
Diana made a recipe that yields 6 and 1 over 2 cups. If each serving is 1 over 4 cup, which expression will help Diana determine the number of servings her recipe will yield? 6 and 1 over 2 ⋅ 1 over 4 6 and 1 over 2 ÷ 1 over 4 6 and 1 over 2 + 1 over 4 6 and 1 over 2 − 1 over 4
Answer:
6 and 1 over 2 ÷ 1 over 4
Step-by-step explanation:
Given,
The total cups in a recipe = 6 and 1 over 2 cups
[tex]=6\frac{1}{2}\text{ cups}[/tex]
Also, the cups in each serving = 1 over 4 cup
[tex]=\frac{1}{4}\text{ cups}[/tex]
Hence, the number of servings = [tex]\frac{\text{total cups in a recipe}}{\text{cups in each serving}}[/tex]
[tex]=\frac{6\frac{1}{2}}{\frac{1}{4}}[/tex]
= 6 and 1 over 2 ÷ 1 over 4
Second option is correct.
what is the decimal representation of 27/100?
how tall is a person whose arm span is 66 inches? What is the arm span of a 74-inch-tall person?
The arm span of 74- inch tall person is 74 inches and height of person with 66 inches arm span is 66 inch.
What is arm span?Your arm span is the distance between the middle fingertips on each hand when you stretch your arms out as far as they can reach.
arm span= 66 inches
As, height of person= 74 inch
The person who is having 66inch arm span also being 66inches in height,
which means the if the arm span is of the 74inch
then man would also be 74inch arm span
This is because your arm span equals your height.
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Final answer:
A person with an arm span of 66 inches is likely to be about 66 inches tall, and a 74-inch-tall person likely has an arm span of about 74 inches. The height in meters of a person who is 6 feet 1.0 inch tall is about 1.8542 meters.
Explanation:
Understanding Arm Span and Height Relationships
The relationship between arm span and height is interesting as they tend to be about the same for an individual. For a person with an arm span of 66 inches, we can estimate that the person's height is approximately the same, around 66 inches. However, this relationship can vary slightly based on individual proportions.
Conversion between Inches and Meters
To convert a person's height from feet and inches to meters, we use the conversion factor 1 meter equals 39.37 inches. For a person who is 6 feet 1.0 inch tall (which equals 73 inches in total), their height in meters would be:
Height in meters = (73 inches) / (39.37 inches per meter) = 1.8542 meters (rounded to four decimal places).
Estimates Based on Anthropometric Data
The arm span of a 74-inch-tall person would again typically be close to their height, so around 74 inches. These estimates are part of anthropometric data, which helps in understanding human body measurements in various fields, including ergonomics, clothing design, and health assessments.
The probability of drawing a blue card is 5/11 what is the probability of NOT drawing a blue card?
Harvey the wonder hamster can run 3 1/6 km in 1/4 hour find his average speed in kilometers pe hour
there are 4 quarters to 1 hour
3 1/6 x 4 =
19/6 * 4 = 76/6 = 12 4/6, reduces to 12 2/3 km per hour
Answer:- The average speed of Harvey the wonder hamster is[tex]12\frac{2}{3}\ km/hour[/tex].
Explanation:-
Given: Distance traveled by Harvey [tex]=3\frac{1}{6}\ km=\frac{19}{6}\ km[/tex]
Time taken[tex]=\frac{1}{4}\ hour[/tex]
[tex]Speed=\frac{Distance}{Time}\\\Rightarrow\ Speed=\frac{\frac{19}{6}}{\frac{1}{4}}\\\\=\frac{19\times4}{6}\\\\=\frac{38}{ 3}\\\\=12\frac{2}{3}\ km/hour[/tex]
Therefore, the average speed of Harvey the wonder hamster is[tex]12\frac{2}{3}\ km/hour[/tex].
A number minus 25 is equal 51
Cual es el minimo comu multiplo de 81,27,9
Jaime drew a square that has sides that are whole numbers of centimeters. Which could not be the area of Jaime's square? A. 25cm2 B. 36cm2 C. 50cm2 D. 64cm2
Final answer:
To find the area of a square, we use the formula A = s², where A represents the area and s represents the length of a side. Evaluating the options, the area that could not be Jaime's square is C. 50cm².
Explanation:
To find the area of a square, we need to multiply the length of one side by itself. So, the formula for the area of a square is A = s², where A represents the area and s represents the length of a side. We can evaluate the given options using this formula:
A. 25cm²: This could be the area of Jaime's square since 5² = 25.B. 36cm²: This could be the area of Jaime's square since 6² = 36.C. 50cm²: This could not be the area of Jaime's square since there is no whole number that can be squared to give 50.D. 64cm²: This could be the area of Jaime's square since 8² = 64.Therefore, the answer is C. 50cm².
simplify this expression x^8 y^-26
Solve 5^x=81. 2
Round to the nearest ten-thousandth.
X≈????
what is 561 divided by 3
M to the second power equals 49. Is it 7?
Which of the following best describes the expression 7(x + 9)?
A.) The product of a constant factor 7 and a 2-term factor x + 9
B.) the sum of a constant factor 7 and a 2-term factor x + 9
C.) the sum of a constant factors 7 and x + 9
D.) the product of a constant factors 7 and x + 9
A.
got it right on my test, flvs
If a point is equidistant from the two sides of an angle, then it is:
A. on the perpendicular bisector.
B. the vertex of the angle.
C. on the angle bisector.
D. on one side of the angle.
A point is equidistant from the two sides of an angle, then it is option (C) on the angle bisector is the correct answer.
What is angle bisector theorem?An angle bisector is a straight line drawn from the vertex of a triangle to its opposite side in such a way, that it divides the angle into two equal or congruent angles.
For the given situation,
Any point that is on the angle bisector is an equal distance ("equidistant") from the two sides of the angle.
A point which is always equidistant from all the sides is the point of intersection of internal angle bisectors.
Hence we can conclude that a point is equidistant from the two sides of an angle, then it is option (C) on the angle bisector is the correct answer.
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Melanie has a piece of cloth 12 and 1/3 yards long. How many 3/4 yard-long pieces can be cut from the cloth?
Answer: 16 pieces
Step-by-step explanation:
To get the number of pieces, we simply divide 12 1/3 by 3/4
12 1/3 ÷ 3/4
but 12 1/3 = 37/ 4 ( converting to improper fraction)
12 1/3 ÷ 3/4
=37/ 3 ÷ 3/4
= 37/3 × 4/3
= 148/9
= 16. 44444
= 16 approximately
Therefore we can get 16 pieces of yard from the cloth
In a line of students, Jenna is number 8. The teacher says that a rule for a number pattern is add 4. The first student in line says the first term, 7. What number should Jenna say?
A basketball team has eight boys and four girls on the roster. The boys average 12 points each. The team averages 136 points as a whole. How many points does each girl average?
8 x 12 = 96
136-96 =40
40/4 = 10
each girl averages 10 points
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Frank is surveying shoppers about their use of the new food court in a mall. Which question in his survey is a statistical question?
A. How many hours do you spend at the food court each month?
B. Where is the food court located in the mall?
C. How many restaurants are there in the food court?
D. Who is the manager of the food court?
Answer:
Step-by-step explanation:
The answer to this question is answer A.
a washer and dryer cost $978 combined the washer cost $78 more than the dryer what is the cost of the dryer
Answer:
$450
Step-by-step explanation:
2x+78=978
2x=900 [subtract 78 from both sides]
x=450 [divide both sides by 2]
A ship traveled for 4 hours heading east and for 3 hours heading north. If the total distance traveled was 149 miles, and the ship traveled 3 miles per hour faster heading north, at what speed was the ship traveling east?
The map shows Santa Cruz Boulevard and the construction site for the new town hall. Find the equation of a “street” that passes through the building site and is parallel to Santa Cruz Boulevard.
Answer:
the equation of a “street” that passes through the building site and is parallel to Santa Cruz Boulevard[tex]y=\frac{x}{2}+4[/tex]
Step-by-step explanation:
The slope is find by 2 points on line [tex](x_1,y_1)\,\text{and}\,(y_2,y_2)[/tex] is calculated as; [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Equation of line is in slope-intercept form is written as;[tex](y-y_1)=m(x_2-x_1)[/tex]
We can easily take two points from given graphs are
(2,5) and (6,7)
The slope of line is;
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{7-5}{6-2}[/tex]
[tex]m=\frac{2}{4}[/tex]
[tex]m=\frac{1}{2}[/tex]
the slope of line is [tex]\frac{1}{2}[/tex]
Now, find the equation of line with the slope-intercept form
[tex](y-y_1)=m(x-x_1)[/tex]
[tex](y-5)=\frac{1}{2}(x-2)[/tex]
Add both the sides by 5 in above expression,
[tex]y=\frac{1}{2}(x-2)+5[/tex]
[tex]y=\frac{x}{2}-1+5[/tex]
[tex]y=\frac{x}{2}+4[/tex]
Therefore, the equation of a “street” that passes through the building site and is parallel to Santa Cruz Boulevard[tex]y=\frac{x}{2}+4[/tex]
Out of 70 student 70% passed how many student passed
70% = 0.70
70 * 0.70 = 49
so 49 students passed
What process can you use to help you write a system of linear equations when dealing with mixture problems
A set of equations is given below: Equation E: c = 2d + 1 Equation F: c = 3d + 7 Which statement describes a step that can be used to find the solution to the set of equations? (1 point)
Equation F can be written as c = 3(c – 1) + 7.
Equation F can be written as c = 2(c – 7) + 1.
Equation F can be written as d + 1 = 3d + 7.
Equation F can be written as 2d + 1 = 3d + 7.
Which expression represents the composition [f o g](x) for the functions below? f(x) = 2x + 3 g(x) = x – 6
2x – 9
2x – 3
2x – 15
2x2 – 9x – 18
Answer:
Option A is correct
2x-9
Step-by-step explanation:
Given the functions:
f(x) = 2x + 3
g(x) = x -6
We have to find [f o g](x).
[tex][fog](x) = f[g(x)][/tex]
Substitute the function g(x),
[tex][fog](x) = f[x-6][/tex]
Replace the value of x with x-6 in f(x) we have;
[tex][fog](x) =2(x-6)+3[/tex]
⇒[tex][fog](x) =2x-12+3[/tex]
⇒[tex][fog](x) =2x-9[/tex]
Therefore, the value of [tex][fog](x)[/tex] is, 2x-9
Which of the binomials below is a factor of this trinomial? x2 - 5x - 36 A. x + 4 B. x - 4 C. x2 + 7 D. x - 7
Option A is correct, x+4 is the binomial factor of the given trinomial x² - 5x - 36
What is Polynomial?
Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables
The given trinomial is x² - 5x - 36
Now we have to factorize the given polynomial.
x² - 9x +4x - 36
x(x-9)+4(x-9)
(x+4)(x-9)
The factorial form of the trinomial x² - 5x - 36 is (x+4)(x-9)
So x+4 is the binomial factor of the given trinomial.
Hence, Option A is correct, x+4 is the binomial factor of the given trinomial x² - 5x - 36
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PLEASE HELP!! ISSA DUMB KID!