Anna can organize the baseballs into 12 groups of 1, 6 groups of 2, 4 groups of 3, 3 groups of 4, 2 groups of 6, or 1 group of 12 baseballs.
Given that Anna has 12 baseballs to display in her store window, and she wants to display them in equal groups, to determine all the ways Anna can display the baseballs in which each group has the same number of baseballs, the following calculation must be performed, knowing that all the divisors of 12 whose result is an integer must be obtained:
12/1 = 12 12/2 = 6 12/3 = 4 12/4 = 3 12/6 = 2 12/12 = 1
Therefore, Anna can organize the baseballs into 12 groups of 1, 6 groups of 2, 4 groups of 3, 3 groups of 4, 2 groups of 6, or 1 group of 12 baseballs.
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What is the scale factor from ABC to DEF?
A. 5 B. 1 C. 0 D. 10
Answer:
b
Step-by-step explanation:
they both have 5 so we divide 5/5 and we get one.
Answer:
B. 1
Step-by-step explanation:
Let V denote the set of all differentiable real-valued functions defined on the real line. Prove that V is a vector space with the operations of addition and scalar multiplication.
V is a vector space with the operations of addition and scalar multiplication.
Since f(t) and g(t) are real numbers, you're utilizing the fact that the real numbers themselves are commutative in that step, which truly confused me when I first learned about it and after.
Let V denote the set of all differentiable real-valued functions defined on the real line.
You only need to mention that real-number addition is commutative. Since f is not a number until you evaluate, you couldn't do it before you did.
On a different note, you cannot say that
f+g=f(t)+g(t)
but you can say that (f+g)(t)=f(t)+g(t)
So V is a vector space with the operations of addition and scalar multiplication.
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Elise built a large rectangular vegetable garden that is 9 meters long and has an area of 72 square meters.
What is the perimeter of Elise’s vegetable garden?
Answer ASAP!!
im timed!!!
give me an answer ASAP
Answer: 34 meters.
Step-by-step explanation;
Step One. Find the value of the width. Use an equation with w representing the width and the two values you already have. 9 meters x w = 72 square meters.
Step Two. Solve for width. This is w = 8.
Step Three. Use the value for width in a perimeter formula to calculate the perimeter; 9(2) + 8(2). This is 34 meters for perimeter.
Answer:
Hi
Step-by-step explanation:
• 10%
5) An experiment consists of spinning the spinner shown below 200 times and recording the
results in a frequency table. Based on theoretical probability, how many times would you
expect the color blue or green to be spun?
BLUE
GREEN
YELLOW
REd
Based on their given probabilities, e would expect the color blue or green to be spun approximately 75 times in this experiment.
How many times can the blue or green color be obtained?To find the expected number of times the color blue or green will be spun, we first need to add their probabilities:
0.25 + 0.125 = 0.375
This means that, on average, we would expect to see blue or green spun 0.375 times for every spin. To find the expected number of times this will happen over 200 spins, we can multiply the probability by the number of spins:
0.375 x 200 = 75
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What is the least common multiple of 4, 6, and 12?
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
12,24,36,48,60,72...
12 is the smallest common multiple so LCM of 4,6 and 12 is 12
plot 1 1/2 and its opposite on the number line
Answer:
the opposite of 1 1/2(1.5) is -1 1/2(-1.5)
Step-by-step explanation:
A 25-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 12 feet from the base of the building. How high up the wall does the ladder reach?
Answer:
b = 21.93
Step-by-step explanation:
This can be solved using Pythagorean theorem. Basically your hypotenuse or c is the length of the ladder, your base or a value is 12 and you're trying to find the height of the wall which is your b
\(a^2 + b^2 = c^2\\c^2 - a^2 = b^2\\(25)^2 - (12)^2 = b^2\\625 - 144 = b^2\\b= \sqrt{481} \\b = 21.93...\\b = 21.93\)
What is the measure of o?
Answer:
2π radians
Step-by-step explanation:
two rectangular prisms, m and n, are mathematically similar. The volumes of m and n are 17cm^3 and 136cm^3, respectively. The height of N is 18 cm. Find the corresponding height of m.
The corresponding height of similar rectangular prism m is 9 centimeter.
Given that, the volume of rectangular prism m is 17 cm³ and the volume of rectangular prism n is 136 cm³.
If two solids are similar, then the ratio of their volumes is equal to the cube of the ratio of their corresponding linear measures.
The height of n is 18 cm.
Here, m³/n³ = 17/136
m³/18³ = 17/136
m³/18³ = 17/136
(m/18)³ = 1/8
(m/18)³ = (1/2)³
m/18 = 1/2
m=9 cm
Therefore, the corresponding height of similar rectangular prism m is 9 centimeter.
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In a right triangle, the measures of the legs are x and x + 14 and the measure of the hypotenuse is x + 16. Find the measure of x.
Answer:
\(x=10\)
Step-by-step explanation:
We can use the Pythagorean Theorem:
\(a^2+b^2=c^2\)
The two legs are x and (x + 14) and the hypotenuse is (x + 16). Therefore:
\((x)^2+(x+14)^2=(x+16)^2\)
Expand:
\(\displaystyle x^2+(x^2+28x+196)=x^2+32x+256\)
Combine like terms:
\(2x^2+28x+196=x^2+32x+256\)
Subtract the right from the left:
\((2x^2+28x+196)-(x^2+32x+256)=0\)
Subtract:
\(x^2-4x-60=0\)
Factor:
\((x-10)(x+4)=0\)
Zero Product Property:
\(x-10=0\text{ or } x+4=0\)
Solve:
\(\displaystyle x = 10 \text{ or } x = -4\)
The x cannot be negative since a side cannot measure -4. So, our only answer is:
\(x=10\)
So, the legs are 10 and 24 with the hypotenuse being 26.
Let sin(2x) = cos(x), where 0° ≤ x < 180°. What are the possible values for x? 30° only 90° only 30° or 150° 30°, 90°, or 150°
Answer:
Answer = 30° , 90° , 150°
Step-by-step explanation:
Hope it helps you
In Table 2, at this rate, how much would it cost to buy 9 books?
Answer:
There is no table attached, if you attach is I will gladly help :)
Step-by-step explanation:
Perform the operation.
(2x+7)2
The simplified expression for (2x+7)2 = 4x^2 + 28x + 49.
A simplified expression is an algebraic expression that has been rewritten in a more concise and easier to understand form. This can be done by combining like terms, removing unnecessary parentheses, and using the correct order of operations.
To perform the operation \((2x + 7)^{2}\) we need to square the entire expression (2x+7).
(2x+7)2 = (2x+7)(2x+7)
The expression inside the parentheses is multiplied by itself. This is called squaring the expression.
To expand the expression, we can use the distributive property:
(2x+7)(2x+7) = 2x(2x) + 2x(7) + 7(2x) + 7(7)
Simplifying the expression, we get:
(2x+7)2 = 4x^2 + 28x + 49
In words, we can say that the square of 2x + 7 is equal to 4x squared plus 28x plus 49.
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Draw an abacus and illustrate this expression 4×8⁴+2×8²+4×8⁰ on it
According to the information, this number on an abacus would look like this: tens of a thousand = 10,000, units of a thousand = 6,000, hundreds = 500, tens = 10, and units = 6.
How to illustrate this value on an abacus?To illustrate this value on an abacus we must find the number of this operation as shown below:
4 * 8⁴ + 2 * 8² + 4 * 8⁰4*4,096 + 2*64 + 4*116,384 + 128 + 416,516Now we must express it in an abacus, then we must separate each number by classifying it in the type of units to which it corresponds as shown below:
ten thousand = 10,000thousand units = 6,000hundreds = 500tens = 10units = 6Learn more about abacus in: https://brainly.com/question/13385199
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Which sign makes the statement true?
67.18% ?
7
22
64
V
||
(Please NEED THIS AASP!)
The required sign that makes the statement true is "||".
The given options are 7, 22, 64, and V.
To express a percentage in mathematical notation, we divide the number by 100. In this case, 67.18% can be written as 0.6718.
Using the "||" symbol, we can write the equation as: 0.6718 || 7 = 22.
This equation represents the statement "0.6718 is to 7 as 22 is to 100." The vertical bar "||" signifies the ratio or proportion between the numbers. The double vertical bars "||" typically represent the symbol for "is equivalent to" or "is parallel to" in various contexts.
Therefore, the sign "||" makes the statement true.
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In the diagram, the measures of 23 and 27 are 45°. The measure of 25 is
135°. Are lines cand dparallel?
F
5
8
OA. Yes, because 23 and 27 are congruent.
OB. No, because 27 and 25 are not congruent.
C. Yes, because 25 and 27 are supplementary.
D. No, because 23 and 25 are not supplementary.
The correct answer is D. No because 23 and 25 are not supplementary.
In the given diagram, it is stated that the measures of angles 23 and 27 are 45°, and the measure of angle 25 is 135°. To determine if lines C and D are parallel, we need to analyze the angles formed by these lines.
If the alternate interior angles or corresponding angles are congruent, then the lines are parallel. However, in this case, we don't have enough information about the angles formed by lines C and D to make that determination.
The fact that angle 23 and angle 27 are congruent (both measuring 45°) doesn't provide any information about the relationship between lines C and D. Similarly, the measure of angle 25 being 135° doesn't give us any insight into the parallelism of lines C and D. Therefore, we cannot conclude that lines C and D are parallel based on the given information, and the correct answer is D.
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B is between A and C. If
AB=x+4 , BC=2x−2 , and AC=4x−1 , what is AB?
AB= (geometry someone help)
If B is between A and C and AB= x+4,BC= 2x-2 and AC= 4x-1, then the length of the AB is 3 units
The point B is between A and C
AB = x+4
BC = 2x-2
AC = 4x-1
We know,
AC = AB + BC
Substitute the value in the equation and find the value of x
4x-1 = x+4 + 2x-2
4x-1 = 3x-2
4x-3x = -2+1
x = -1
Then,
AB= x+4
Substitute the value of x in the equation
AB = -1+4
AB = 3 units
Hence, If B is between A and C and AB= x+4,BC= 2x-2 and AC= 4x-1, then the length of the AB is 3 units
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square root of 54 (simplified not 7.5)
Answer:
Step-by-step explanation:
7.3 is the anwser
Phillip is competing in a race car competition. He drives 218.4 miles in 2.4 hours.
(a) What unit rate may be of interest here?
If he drives the car 218.4 miles in 2.4 hours. Then the speed of the car will be 91 miles per hour.
How to find the speed of an object?If the object is going linearly, and at a constant speed, then the speed of that object is given by the distance it traveled to the time it took to travel that distance.
If the object traveled D distance in T units of time, then that object's speed will be given as
Speed = Distance traveled/Time taken
S = D/T
Phillip is competing in a race car competition.
He drives 218.4 miles in 2.4 hours.
Then the speed of the car will be
S = 218.4/2.4
S = 91 miles per hour
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Mary is cutting strips of paper for a craft project. Each strip is 1/6 of a sheet of paper. Mary has 2/3 of a sheet of paper left to cut. She wants to determine how many more strips of paper she can cut from what is left.
Mary can cut ___ more strips than paper
Answer:
4 more strips
Step-by-step explanation:
Given that:
Length per strip = 1/6
Fraction of paper left = 2/3
Number of strips that can be cut from the Fraction left ;
Fraction left ÷ length per strip
2/3 ÷ 1/6
2/3 * 6/ 1
(2 * 6) / (3 * 1)
12 / 3
= 4
A sports marketing company is interested in how many hours teenagers in a town spend watching sports. They randomly select 40 teenagers in this town and ask how many hours per week they spend watching sports. The mean amount is 6.25 hours with a standard deviation of 4.33 hours. Which of the following is the 90% confidence interval for the true mean amount of time teenagers from this town watch sports?
Find the t-table here.
(4.396, 8.104)
(4.865, 7.635)
(5.097, 7.404)
(5.245, 7.256)
Answer:
(5.097, 7.404)
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 40 - 1 = 39
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 39 degrees of freedom(y-axis) and a confidence level of \(1 - \frac{1 - 0.9}{2} = 0.95\). So we have T = 1.6849
The margin of error is:
\(M = T\frac{s}{\sqrt{n}} = 1.6849\frac{4.33}{\sqrt{40}} = 1.154\)
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 6.25 - 1.154 = 5.096 hours
The upper end of the interval is the sample mean added to M. So it is 6.25 + 1.154 = 7.404 hours.
The answer is (5.097, 7.404)
a store is having a sale on almonds and Jelly Beans .For 3 pounds of almonds and 8 pounds of jelly beans the total cost is 34 dollars. For 5 pounds of almonds and 2 pounds of jelly beans. the cost is 17 dollars. Find the cost of each pound of almonds and each pound of jelly beans
We have a system of equation problem
x= cost of almonds per pound
y= cost of the jelly beans per pound
For the first equation, we have
3 pounds of almonds
8 pounds of jelly beans
total $34
so the equation is
3x+8y=34
For the second equation we have
5 pounds of almonds
2 pounds of jelly beans
total $17
so the equation is
5x+2y=17
so our system of equation is
\(\begin{gathered} 3x+8y=34 \\ 5x+2y=17 \end{gathered}\)In order to solve the system we will multiply the second equation by -4
\(-4(5x+2y=17)=-20x-8y=-68\)then we sum the equation above with the first equation
\(3x-20x+8y-8y=34-68\)then we sum similar terms and isolate the x to find the value of x
\(\begin{gathered} -17x=-34 \\ x=\frac{-34}{-17} \\ x=2 \end{gathered}\)then we substitute the value of x=2 in the first equation and we find the value of y
\(\begin{gathered} 3(2)+8y=34 \\ 6+8y=34 \\ 8y=34-6 \\ 8y=28 \\ y=\frac{28}{8} \\ y=3.5 \end{gathered}\)The solution is
x= $ 2 cost of each pound of almond
y= $3.50 cost of each pound of jelly beans
de-13m+5n-8p sustraer 7p-8m+3n
Answer:
its 300
Step-by-step explanation:
The area of a rectangle knitted blanket is 9x^2-6x-8. What are the possible dimensions of the blanket? Use factoring
Answer:
(3x-4) by (3x+2) or (-3x+4) by (-3x-2)
Step-by-step explanation:
To factor 9x^2-6x-8 we want to find the factors of 9 and the factors of -8 that when multiplied in sequence and then added give us -6.
factors of -8:
-8 & 1
8 & -1
-4 & 2
4 & -2
you might also want to remember that these can be flipped, so if you have -8 & 1 you can also have 1 &-8.
factors of 9:
9 & 1
-9 & -1
3 & 3
-3 & -3
So now we just need to find numbers where
a & b are factors of 9 and c & d are factors of -8 and a*c+b*d=-6,
if that is the case then (ax+c)*(bx+d)=9x^2-6x-8
guess: 3 & 3 and -4 & 2
3*(-4) + 3*2=-12 +6 = -6
so one factoring is (3x-4)*(3x+2)
This means that one of the possible dimensions of the blanket is (3x-4) by (3x+2)
guess: -3 & -3 and 4 & -2
(-3)*4+(-3)*(-2)= -12+6 = -6
so another factoring is (-3x+4)*(-3x-2)
So you could also have a blanket with dimensions (-3x+4) by (-3x-2) but this might not make sense to do because, if you input positive numbers for x you will get negative dimensions which in the real world don't exist for a knitted blanket.
p.s sorry for the late response.
Can someone help me with this please
Okay I will help you.
9 7/9 simplified and in mixed number form.
PLEASE MARK ME BRAINLIEST IF I'M RIGHT!! THANKS
Find the coordinates of the figure after the transformations. Translate the triangle 1 unit right and 5 units down. Then reflect the image in the y-axis.
The final image is the same as Translate 5 units down, and then reflect over the y axis.
What is Transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, reflection, rotation and dilation.
Translation is the movement of a point up, down, left or right.
Transformation is the movement of a point from its initial location to a new location.
The final image is the same as Translate 5 units down, and then reflect over the y axis.
Therefore the coordinates remains same as previous figure.
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The variables y and x have a proportional relationship, and y = 12 when x = 5.
What is the value of y when x = 8?
Answer:
y = 19.2
Step-by-step explanation:
We know there is relationship between y and x, so according to the formula \(y = kx\)
k = 12/5
we get one function y = 2.4x
when x = 8, input it into the function,
y = 2.4×8 = 19.2
Triangle ABC was dilated using the rule DO,4. Triangle A'B'C' is the result of the dilation.
Point O is the center of dilation. Triangle A B C is dilated to create triangle A prime B prime C prime. The length of O B is three-fourths.
What is OB'?
1.5 units
3 units
4.5 units
6 units
Mark this and return
Answer:
(b) 3 units
Step-by-step explanation:
You want to know the length of OB' when OB = 3/4 and ∆ABC is dilated about point O by a factor of 4.
DilationThe dilation factor multiplies every length.
If OB is 3/4, then OB' is 4(3/4) = 3.
The length of OB' is 3 units.
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What is the area of the parallelogram?
Ss
22 in.
24 in.
Answer:
no clue and I'm sorry I hate when others do this
Help please! Which of the following tables represents a relation that is a function? Explained answer please
A
B
C
D
Answer:
Step-by-step explanation:
THE ANSWER TO YOUR QUESTION IS C.