The camp cook made 1 1/2 pints of baked beans. Each serving of beans is 3/10 of a pint. How many servings of beans did the cook make?
Simplify your answer and write it as a proper fraction or as a whole or mixed number.
Raj made this argument:
The Triangle Inequality Theorem states that if the lengths of three sides of a triangle are a, b, and c, then a + b > c. For this reason, since a, b, and c are all positive numbers, the square of a + b must be greater than the square of c. However, for a right triangle, the Pythagorean Theorem states that if the lengths of the legs are a and b, and if the length of the hypotenuse is c, then a2 + b2 = c2, not a2 + b2 > c2. Therefore, since the Pythagorean Theorem is known to be correct, and since right triangles should adhere to the Triangle Inequality Theorem, the Triangle Inequality Theorem must be incorrect.
What is wrong with Raj’s argument?
A) The square of a + b is not equal to a2 + b2.
B) One cannot assume that a, b, and c are all positive numbers.
C) It’s not true that right triangles should adhere to the Triangle Inequality Theorem.
D) It’s not true that according to the Triangle Inequality Theorem, a + b > c.
How do you find area like in this question I know already it’s d though I just need help figuring this out?
Which equation gives this number of 1/3 inches that are in 5/6 inch
The correct answer is [tex]\frac{5}{6}[/tex] inch.
To find the number of 1/3 inches that are in 5/6 inch, we need to convert both fractions to have a common denominator and then divide the numerators.
[tex]\text{Step 1: Find the LCM of 3 and 6}[/tex]
[tex]\text{LCM}(3, 6) = 6[/tex]
[tex]\text{Step 2: Convert the fractions to equivalent fractions with the denominator of 6}[/tex]
[tex]\frac{1}{3} = \frac{2}{6}[/tex]
[tex]\frac{5}{6} = \frac{5}{6}[/tex]
[tex]\text{Step 3: Divide the numerators of the equivalent fractions}[/tex]
[tex]\frac{5}{6} \div \frac{2}{6} = \frac{5}{2} = 2.5[/tex]
Therefore, there are [tex]2.5[/tex] one-third inches in [tex]\frac{5}{6}[/tex] inch.
Tyrone has calculated that his house is 352 yards away from school. How far is this in miles? (1 mile = 1760 yards)
A More than 0.75 miles
B Less than 0.25 miles
C Between 0.5 and 0.75 miles
D Between 0.25 and 0.5 miles
Which of these geometric figures can intersect to form a cross section? Check all that apply. 1.a line and a prism 2.a line and a rectangle 3.a point and a prism 4.a prism and a horizontal plane 5.a vertical plane and a pyramid Check all that apply
The geometric figures that intersect to form a cross-section are:
4. a prism and a horizontal plane 5. a vertical plane and a pyramidFor a cross-section to be formed, then the intersected figures must be a plane and a three-dimensional object.
From the list of given options, option (1) through (3) cannot be true;
This is so because: lines and points are not three-dimensional or planes
However, in options (4) and (5);
Vertical planes, horizontal planes and prism are planes or three-dimensional object.
Hence, the true options are (4) and (5)
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The length of the minute hand is 200% of the length of the hour hand.
In 1 hour, how much farther does the tip of the minute hand move than the tip of the hour hand? Round your answer to the nearest hundredth.
A 4-inch minute hand would traverse 3.14 x 8 inches (25.12 in) on a clock, which is double the distance.
What is a circle?It is the centre of an equidistant point drawn from the centre. The radius of a circle is the distance between the centre and the circumference.
The length of the minute hand is 200% of the length of the hour hand.
In 1 hour, the tip of the minute hand move then the tip of the hour hand will be
You may put this to the test with numbers. If you have a clock with a 2-inch hour hand, it will travel 3.14 x 4 inches (12.56 in).
A 4-inch minute hand would traverse 3.14 x 8 inches (25.12 in) on a clock, which is double the distance.
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The graph shows a system consisting of a linear equation and a quadratic equation. What is the solution(s) to the system?
A (4,5) only
B (1,8) only
C (1,8) and (4,5)
D this system has no solution
Answer:
Option (C) is correct.
The solutions of the graph showing a system consisting of a linear equation and a quadratic equation are (1,8) and (4,5).
Step-by-step explanation:
Given : The graph showing a system consisting of a linear equation and a quadratic equation.
We have to find the solution(s) to the system.
Since , the solution(s) to the system are the points where the both linear equation and a quadratic equation intersect each other.
So from the graph given the linear equation intersect the quadratic equation at two points namely (1,8) and (4,5).
Thus, the solutions of the graph showing a system consisting of a linear equation and a quadratic equation are (1,8) and (4,5).
An offspring produced as a result of sexual reproduction is
A) similar but not identical to its parents
B) identical to its mother
C) completely unique and does not resemble its parents at all
D) identical to its father
Two videos on viewtube.com were recently uploaded. One is a playful kitten video and the other is a laughing baby video. The kitten video had 101010 views in the first minute after it was uploaded, and the cumulative number of views increases by 505050 views each minute. The baby video had 333 views in the first minute after it was uploaded, and the cumulative number of views increases by a factor of approximately 3.53.53, point, 5 each minute. In which minute will the baby video's cumulative number of views first exceed the kitten video's cumulative number of views?
Answer:
5
Step-by-step explanation:
Pam asked a bank teller to cash a check for $130. The teller gave Pam a total of 9 bills. She received $10 bills and $20 bills. How many of each type of bill did Pamela receive?
What is the 5th term of the geometric sequence a1=120, a2=36, a3=10.8, a6=0.2916
A geometric sequence is given by terms a₁ = 120, a₂ = 36, a₃ = 10.8, a₆ = 0.2916.
The First term is given, a = 120.
Common ratio (r) would be ratio of second term to first term i.e.
[tex] r=\frac{a_{2}}{a_{1}} = \frac{36}{120} = 0.3 [/tex]
The formula for n-th term of geometric sequence is given by as follows :-
[tex] a_{n} =a*r^{n-1} [/tex]
It says to find 5th term of this given geometric sequence. For 5th term, n = 5.
[tex] a_{5} =120*(0.3)^{5-1} \\\\
a_{5} =120*(0.3)^{4} \\\\
a_{5} =120*(0.0081) \\\\
a_{5} =0.972 [/tex]
Hence, a₅ = 0.972 would be 5th term of the given geometric sequence.
Caroline's bedroom is the shape of a rectangular prism that measures thirteen feet long, ten feet wide, and 9 feet high. What is the surface area of her room?
A triangle has an area of 36 square feet. if the height of the triangle is 6 feet more than its base, what are the height and base.
which of the following terms- radius, chord, diameter , tangent and or secant describes the hypotenuse of a right triangle inscribed in a circle?explain your answer in complete sentences
Final answer:
The hypotenuse of a right triangle inscribed in a circle is referred to as the diameter of the circle.
Explanation:
The hypotenuse of a right triangle inscribed in a circle is referred to as the diameter of the circle.
This can be explained using the Pythagorean theorem, which states that the sum of the squares of the two legs of a right triangle is equal to the square of the hypotenuse. In this case, the hypotenuse of the right triangle represents the diameter of the circle.
For example, if the lengths of the legs of the right triangle are represented by a and b, then the length of the hypotenuse (diameter) represented by c can be calculated as c = √(a² + b²).
The term that describes the hypotenuse of a right triangle inscribed in a circle is the diameter. This is based on Thales' theorem, which states that the hypotenuse of a right triangle inscribed in a semicircle is the diameter of the circle.
Explanation:The hypotenuse of a right triangle inscribed in a circle is described by the term diameter. When a right triangle is inscribed in a circle, the hypotenuse always corresponds to the diameter of that circle. This is because, according to the Thales' theorem, a right angle in a semicircle suggests that the side opposite the right angle of an inscribed triangle (the hypotenuse) must be the diameter of the circle. Furthermore, the relationship between the sides and the hypotenuse of a right triangle is given by the Pythagorean theorem, which states that the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): a² + b² = c².
What is the probability of rolling a die and getting a 4 twice in a row
The probability of getting a 4 twice in a row is [tex]\bold{\frac{1}{36} }[/tex]
What is probability?"It is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."
Formula of the probability of an event A is:P(A) = n(A)/n(S)
where, n(A) is the number of favorable outcomes, n(S) is the total number of events in the sample space.
For given example,
When a die is rolled 3 times,
Total number of outcomes are,
[tex]\Rightarrow n(S) = 6^2\\\\ \Rightarrow n(S)= 36[/tex]
The probability of getting a 4 when a die is rolled is [tex]\frac{1}{6}[/tex]
[tex]\Rightarrow P(4)=\frac{1}{6}[/tex]
We want the probability of getting a 4 twice in a row.
So, the required probability is,
[tex]\Rightarrow P=P(4)\times P(4)\\\\\Rightarrow P=\frac{1}{6} \times \frac{1}{6}\\\\ \Rightarrow \bold{P=\frac{1}{36}}[/tex]
Therefore, the probability of getting a 4 twice in a row is [tex]\bold{\frac{1}{36} }[/tex]
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Anyone help me with this?
Identify the independent and dependent variables.
The equation A=25w gives the area A (in square feet) of a rectangular dance floor with a width of w feet.
The independent variable is
.
The dependent variable is
.
The equation given is: A=25w
This equation gives the area A (in square feet) of a rectangular dance floor with a width of w feet.
As we can clearly see, the area of the rectangular dance floor is dependent on the value of the width,w. As we increase the width, w, the area, A increases and as we decrease, w, A too decreases.
Therefore, the independent variable is "w" and the dependent variable is "A".
The table shows the amount of red paint that can be added to different amounts of white paint while making a custom paint color:
Paint Color
Quarts of Red Paint Quarts of White Paint
4 20
5 25
7 35
8 40
Which statement is true about the ratio of red paint to white paint in the paint color?
it is 1:16
it is 16:1
it is 5:1
it is 1:5
Answer:
(04.02) The table shows the amount of red paint that can be added to different amounts of white paint while making a custom paint color:
Paint Color
Quarts of Red Paint Quarts of White Paint
4 20
5 25
7 35
8 40
Which statement is true about the ratio of red paint to white paint in the paint color?
It is 1:16.
It is 16:1.
It is 5:1.
It is 1:5. it is this one
Step-by-step explanation:
The ratio of quarts of red paint to quarts of white paint is 1:5. Therefore, option D is the correct answer.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
From the table,
The ratio of quarts of red paint to quarts of white paint is
4:20
= 1:5
5:25
= 1:5
7:35
= 1:5
8:40
= 1:5
The ratio of quarts of red paint to quarts of white paint is 1:5. Therefore, option D is the correct answer.
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in a circle with a radius of 6 m, an arc is intercepted by a central angle of 7π4 radians. What is the arc length? Use 3.14 for π . Enter your answer as a decimal in the box. m
Answer:
The correct answer is 32.97 m.
Step-by-step explanation:
Verified by correct test results.
Which graph represents the system of equations?
y=2x+1y=2x2+1
Graphing the system involves plotting points for both equations and identifying their intersections. The graph visually illustrates the simultaneous solutions to "y = 2x + 1" and "y = 2x^2 + 1.
Graphing the system of equations "y = 2x + 1" and "y = 2x^2 + 1" involves plotting points that satisfy both equations to identify their intersection. The first equation, "y = 2x + 1," represents a straight line with a slope of 2 and a y-intercept of 1. The second equation, "y = 2x^2 + 1," is a quadratic function, creating a parabolic curve.
To visualize their intersection, plot several points for each equation and observe where they coincide on the graph. For the linear equation, select x-values, calculate the corresponding y-values using the equation, and plot the points. For the quadratic equation, choose various x-values, calculate the corresponding y-values, and plot these points.
The intersection points on the graph represent solutions to both equations. Depending on the specific values chosen, the intersection may occur at one or more points.
The question probable may be:
Graph the following system of equations.
y=2x+1 y=2x^2+1
The two equations intersect at points (0, 1) and (1, 3).
Analyzing the Equations:
Equation 1: y = 2x + 1 represents a linear equation. This means the graph will be a straight line. The slope of the line is 2, and the y-intercept is 1.
Equation 2: y = 2x² + 1 represents a parabolic equation. This means the graph will be a U-shaped curve. Since the coefficient of the x² term (2) is positive, the parabola will open upwards. The y-intercept is also 1.
Identifying the Intersections:
To find the points of intersection, we can set the two equations equal to each other and solve for x:
2x + 1 = 2x² + 1
0 = 2x² - 2x
0 = 2x(x - 1)
The solutions are x = 0 and x = 1. We can then plug these x-values back into either equation to find the corresponding y-values:
y = 2(0) + 1 = 1 (for x = 0)
y = 2(1)² + 1 = 3 (for x = 1)
Therefore, the two equations intersect at points (0, 1) and (1, 3).
Complete and correct question:
Which graph represents the system of equations?
y=2x+1
y=2x²+1
The graph is attached below:
Judy makes a lemon pie. Judy cuts the lemon pie into six equal pieces. Judy wants to share the pie with her friend, Edith. Judy eats one piece of the lemon pie. Edith eats one piece of the lemon pie. Judy says that each of them are one - sixth of the lemon pie. Edith says that each of them are two sixths of the lemon pie. Who Is correct?
Both Judy and Edith are correct. They each ate one-sixth of the lemon pie.
Explanation:Judy and Edith are discussing how much of the lemon pie they each ate. Judy claims that they each ate one-sixth of the pie, while Edith says they ate two-sixths. To determine who is correct, let's break it down:
Judy cut the pie into 6 equal pieces.Judy ate 1 piece, so she ate 1/6 of the pie.Edith also ate 1 piece, so she also ate 1/6 of the pie.Therefore, both Judy and Edith are correct. They each ate one-sixth of the lemon pie.
Which inequality can be used to find how many $2.50 fruit packs can be purchased for $15.00? Use f to represent fruit snacks
The inequality that can be used to find how many $2.50 fruit packs can be purchased for $15.00 is 2.50f ≤ 15, where f represents the number of fruit packs. Therefore, you can purchase up to 6 fruit packs with $15.00.
Explanation:To find how many $2.50 fruit packs can be purchased for $15.00, we can use the inequality:
2.50f ≤ 15
where f represents the number of fruit packs.
To solve the inequality, we divide both sides by 2.50:
f ≤ 6
Therefore, you can purchase up to 6 fruit packs with $15.00.
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j= -8c^2 - 4cd - d^2 k= -3c^2 +7cd - 3d^2 j+k =
PLZ HELP!!!!!! (WILL GIVE BRAINLIEST!!!!)
Which should be used to measure the length of a bookcase?
A.
thermometer
B.
tape measure
C.
clock
D.
scale
An angle measures 45° what are the measures for the angles complement and supplement?
about what percent of the total area of hals backyard is the area taken up by the patio, walkway, and garden
This is the picture. Can you tell me the answer?
If k1/2 = integer and k1/4 = integer, which is a possible value for k?
Answer:
D: 81
Step-by-step explanation:
Did the usa test prep
An orange has about 1/4 cup of juice. How many oranges are needed to make 2 1/2 cups of juice? Select all equations that represent this question. Plz answer!
Answer:
The answer is
D (2 1/2)/(1/4)
And 10
Oranges are needed to make 2 1/2 cups of juice
Step-by-step explanation:
From the given expression
We can solve the problem
If we state it out Mathematically
Step one
1 orange will give 1/4 cup of juice
x orange will give 2 1/2 cups of juice
Step two
By cross multiplication we have
x=( 2 1/2)/(1/4)
Let's convert the mixed fraction
2 1/2
to proper fraction we have 5/2
x=( 5/2)/(1/4)
x=5/2*4/1
x=20/2
x=10