Answer:Jenny can make
18
identical necklaces, each containing 5 green and 6 blue beads.
Explanation:
Assume, each necklace contains
G
green and
B
blue beads and we have
N
such necklaces. All these variables are natural numbers.
Then we can establish the following equations in natural numbers:
N
⋅
G
=
90
N
⋅
B
=
108
Our task is to find a maximum
N
for which these two equations have a solution in natural numbers.
Obviously,
N
is a maximum common denominator of
90
and
108
.
To find the maximum common denominator of
90
and
108
, let's represent these two numbers as a product of prime numbers:
90
=
2
⋅
3
⋅
3
⋅
5
108
=
2
⋅
2
⋅
3
⋅
3
⋅
3
As we see, the maximum common denominator (a product of all prime numbers that are identical for both
90
and
108
) is
P
=
2
⋅
3
⋅
3
=
18
Therefore, assigning
N
=
18
,
G
=
5
and
B
=
6
, we obtain the solution:
Maximum number of identical necklaces is
N
=
18
with each necklace containing
G
=
5
green beads and
B
=
6
blue beads.
Answer
Step-by-step explanation:
Rewrite the equation by completing the square x^2+2x-35=0
Answer: [tex]x^2+2x+1=36[/tex]
Step-by-step explanation:
[tex]x^2+2x-35=0[/tex]
add 35 on both sides.
[tex]x^2+2x-35+35=0+35[/tex]
[tex]x^2+2x=35[/tex]
take the value of b (2) divide it by 2 and square it.
[tex]x^2+2x+(\frac{b}{2})^2 =35+(\frac{b}{2})^2[/tex]
[tex]x^2+2x+(\frac{2}{2})^2 =35+(\frac{2}{2})^2[/tex]
[tex]x^2+2x+(1)^2=35+(1)^2\\x^2+2x+1=35+1\\x^2+2x+1=36[/tex]
Answer:
1 for the first box and 35 for the second one.
Step-by-step explanation:
A survey asked people which kind of pet they owned. The results are shown in the table below. Of the women who
were surveyed, what is the relative frequency that owned cats?
Male Female Total
Own cat
26
35
61
Own dog
75
60
135
Own other
60
45
105
Own no pet 122
112
234
Total
283 252
535
0.065
0.114
0.139
0.574
Answer: 0.139
Step-by-step explanation:
From the given table, the total number of females = 252. The number of females that owned cats = 35. Therefore , the relative frequency of women that owned cats is given by -
Number of females that own cats/ Number of females
= 35/252 = 0.138888888889 = 0.139
Therefore, the relative frequency of women that owned cats is 0.139.
Answer: 0.139
Step-by-step explanation:
From the given table, the total number of females = 252. The number of females that owned cats = 35. Therefore , the relative frequency of women that owned cats is given by -
Number of females that own cats/ Number of females
= 35/252 = 0.138888888889 = 0.139
Therefore, the relative frequency of women that owned cats is 0.139.
Someone help me fast!! Zoom in on the picture
Answer:
b. 8
Step-by-step explanation:
It's just division. 289 divided by 34=8.5 but it asks you how many whole pumpkins are kids going to take home so it would be 8 because you can't magically have that many pumpkins show up.
An anchor chain weighs 100 pounds for every meter of chain. What is the mass of anchor chain in kilograms if it touches the bottom of the sea at 180 meters? (Assume the anchor is fully payed out. Round to the nearest whole number and do not include units or commas in your answer.) Note: There are 0.454 kilograms in a pound.
The area of the base of a rectangular juice box is 4 1/2 square inches. If the volume of the box is 18 cubic inches, how tallis the box. (Please answer with the number only)
Answer:
Height = 4 inches
Step-by-step explanation:
Volume of a Rectangular prism = Area of the base * Height
We can rearrange this to find the height
Height = Volume ÷ Area of the base
Substitute in our numbers and solve for height
Height = 18 ÷ 4.5
Height = 4 inches
Lin ran 29 meters in 10 seconds she ran at a constant speed at this rate how far did she run in 1 minitute
Answer:
IF 29:10 THEN for every 10 sec they run 29 meters will be added SO 29*60=
1740
Step-by-step explanation:
sorry if i am wrong
there are 165 different plants in the school garden.of these ,132 will flower in spring.what percent of the plants will flower in spring
Answer:
80%
Step-by-step explanation:
132÷165=0.8
0.8×100=80%
80% of the plants in the school garden will flower in spring. The correct answer is [tex]$\boxed{80\%}$[/tex].
To find the percentage of plants that will flower in spring, we use the formula for percentage, which is:
[tex]\[ \text{Percentage} = \left( \frac{\text{Number of plants flowering in spring}}{\text{Total number of plants}} \right) \times 100\% \][/tex]
Given that there are 165 different plants in total and 132 of these will flower in spring, we can substitute these values into the formula:
[tex]\[ \text{Percentage} = \left( \frac{132}{165} \right) \times 100\% \][/tex]
Now, we simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 33:
[tex]\[ \text{Percentage} = \left( \frac{132 \div 33}{165 \div 33} \right) \times 100\% \] \[ \text{Percentage} = \left( \frac{4}{5} \right) \times 100\% \] \[ \text{Percentage} = 0.8 \times 100\% \] \[ \text{Percentage} = 80\% \][/tex]
An isosceles trapezoid has base angles equal to 45º and bases of lengths 6 and 12. Find the area of the trapezoid.
27 sq. units
2712 sq. units
2743 sq. units
The volume of a sphere with a radius of 5 cm is approximately _[blank]_ cm3.
Enter the value that correctly fills in the blank in the previous sentence.
Use 3.14 for π, and round your answer to the nearest hundredths place if necessary.
Answer:
V = 523.33 cm^3
Step-by-step explanation:
The volume of a sphere is given by
V =4/3 pi r^3
We know the radius is 5
V = 4/3 (3.14) 5^3
V=523.3333333
Rounding to the hundredths place
V = 523.33 cm^3
Answer:
523.33 cm
Step-by-step explanation:
V= 4/3 pi r3
=4/3 pi (5 cm)3
=4/3 pi (125cm)
=4/3 3.14 (125cm)
=4/3 (392.5)
Volume= 523.33 cm
What is the answer to this question.. What is 30% of 50?
Look at the attached picture
Hope it will help you..
Answer: 15%
Step-by-step explanation: Ok, we have to find what is 30% of 50, all we have to do is...
First, we have to divide the percentage by 100 by using long division.
30 ÷ 100 = 0.3
0.3 * 50 = 15%
I hope this helps!
Please help for ten points if good enough
how to find the designated sum in arithmetic series
Final answer:
To find the designated sum in an arithmetic series, use the formula (n/2)(a_1 + a_n), where n represents the number of terms, a_1 is the first term, and a_n is the last term.
Explanation:
How to Find the Designated Sum in Arithmetic Series
An arithmetic series is a sequence of numbers in which the difference between consecutive terms is constant. To find the designated sum in an arithmetic series, you can use the formula:
S_n = (n/2)(a_1 + a_n)
Identify the first term (a_1), the number of terms (n), and the common difference (d) of the arithmetic series.
Use the formula a_n = a_1 + (n-1)d to find the value of the last term in the series (a_n).
Substitute the values of a_1, a_n, and n into the formula S_n = (n/2)(a_1 + a_n) to calculate the designated sum of the arithmetic series.
8 +3+7+7+ 10 = 35
What is the average value?
Answer:
7
Step-by-step explanation:
To find the average value, divide the sum by the number of numbers
8 +3+7+7+ 10 = 35 /5= 7
The average value is 7
Answer:
Step-by-step explanation:
8+3+7+7+10 = 35
35=35
How many times bigger is the 45,776 than 45.776
Answer:
54
Step-by-step explanation:
45,776 is exactly 1,000 times bigger than 45.776, as you can move the decimal point in 45.776 three places to the right to match the value of 45,776.
To determine how many times bigger 45,776 is than 45.776, we simply divide the larger number by the smaller number:
First, write down the two numbers: 45,776 and 45.776.Convert 45.776 to the same form as 45,776 by multiplying by 1000 (to move the decimal point three places to the right).The calculation will look like this: 45,776 / (45.776 x 1000) = 45,776 / 45,776 = 1,000.45,776 is 1,000 times bigger than 45.776.
What is a exponential function?
Answer:
hope I helped also good bless u and your family
Step-by-step explanation:
An exponential function is a mathematical function of the following form: f ( x ) = a x. where x is a variable, and a is a constant called the base of the function. The most commonly encountered exponential-function base is the transcendental number e , which is equal to approximately 2.71828.
DEF is a right triangle.
HELP PLEASE
Answer:
True
Step-by-step explanation:
Because its at a 90 degree angle
Answer:
False
Step-by-step explanation:
Because I calculated the angles which were the numbers and it didn't add up to 90 degrees.
Which are good ideas to include in Luisa’s plan? Check all that apply.
Answer:
1 , 2 , 4
Step-by-step explanation:
Which of the following measurements is shorter than 1 meter select all that apply
Measurements shorter than 1 meter are usually in centimeters and millimeters; for example, the length of a hand or the size of a small worm. Longer measurements such as the length of a street or the distance between towns are in meters or kilometers.
Explanation:In the metric system, the length measurements shorter than 1 meter include centimeters (cm) and millimeters (mm). To identify which measurements are shorter than 1 meter, we can consider the size or distance involved. Some options include:
The size of a small worm is definitely shorter than 1 meter and would be measured in centimeters or even millimeters.The height of a light switch is also less than 1 meter and can be measured in centimeters.The length of a hand is smaller than 1 meter and would be measured in centimeters.On the other hand, measurements that are likely to be equal to or longer than 1 meter might include:
The length of a street, which would be measured in meters or kilometers.The distance from one town to the next, which would be measured in kilometers.The depth of a pool, which could be measured in meters depending on the pool's depth.Understanding that 1 meter is roughly the distance from fingertip to fingertip when arms are stretched out to the sides can help visualize the scale when deciding on the appropriate unit for measuring length.
Explain how you can find the area of a polygon
Step-by-step explanation:
To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. Apothem = a segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side.Final answer:
The area of a polygon can be estimated using a grid to count squares, with specific formulae used for regular shapes. Irregular shapes can be broken down into simpler shapes, and the areas summed up, or approximated as areas under a curve using rectangles.
Explanation:
To find the area of a polygon, one approach can be to approximate the area using graph paper. You would place the polygon over a grid and count the number of squares that are completely covered by the polygon. Partial squares would be estimated. For polygons with straight sides like triangles, rectangles, and other regular shapes, you can use specific formulae. For example, the area of a triangle is found using the formula A = wh/2, where 'w' is the base width and 'h' is the height.
To find the area of irregular shapes, the shape can be broken down into a combination of known shapes, then the area for each known shape is calculated and summed up. For instance, if you're finding the area within a curve represented by a graph, you can approximate the area under the curve by summing up the areas of rectangles (or triangles) that fit under the curve.
The graph of an exponential model in the form y = a ⋅ bx passes through the points (2, 50) and (3, 250). Which point is also on the graph?
A. (0, 5) B. (1, 10) C. (4, 450) D. (5, 650)
The correct answer is B: (1, 10).
To determine which point is also on the graph of the exponential model [tex]\(y = a \cdot b^x\)[/tex], we can use the given points (2, 50) and (3, 250) to set up a system of equations.
For the point (2, 50):
[tex]\[50 = a \cdot b^2\][/tex]
For the point (3, 250):
[tex]\[250 = a \cdot b^3\][/tex]
Dividing the second equation by the first, we get:
[tex]\[\frac{250}{50} = \frac{a \cdot b^3}{a \cdot b^2}\][/tex]
Simplifying:
[tex]\[5 = b\][/tex]
Now that we know [tex]\(b = 5\)[/tex], we can substitute this back into either of the original equations to solve for [tex]\(a\)[/tex]. Using the first equation:
[tex]\[50 = a \cdot 5^2\][/tex]
Solving for \(a\):
[tex]\[a = 50/25 = 2\][/tex]
So, the exponential model is [tex]\(y = 2 \cdot 5^x\)[/tex].
Now we can check which of the given points is on the graph:
- For point (0, 5): [tex]\(y = 2 \cdot 5^0 = 2 \cdot 1 = 2\)[/tex]
- For point (1, 10): [tex]\(y = 2 \cdot 5^1 = 2 \cdot 5 = 10\)[/tex]
- For point (4, 450): [tex]\(y = 2 \cdot 5^4 = 2 \cdot 625 = 1250\)[/tex]
- For point (5, 650): [tex]\(y = 2 \cdot 5^5 = 2 \cdot 3125 = 6250\)[/tex]
The only point that satisfies the exponential model is (1, 10). Therefore, the correct answer is B. (1, 10).
1 + 1 Simple. Don't fail.
Answer:
2
Step-by-step explanation:
Answer:
3. I already know I'm right, like no cap.
simplify each sum
(5m^4+7-m^3)+(7m^3-7m^2+1)
Step-by-step explanation:
5m4 + 7 - m3 + 7m3 - 7m2 + 1
Solving like terms
5m4 + 6m3 - 7m2 + 8
there is a large clock on the wall so students can check the time. gym class starts at 1:15 p.m and ends at 2:00 p.m. during gym class. through what fraction of a circle does the minute hand turn ? how many degrees did the minute hand turn explain
Answer:
1 1/2
Step-by-step explanation:
Find the circumference of the circle. Leave your answer in terms of .
1.
9m
Answer:
56.54 m
Step-by-step explanation:
C = 2πr = 2 x 3.14 x 9 = 56.54867
solve the following system y=-2 -4x+8y=0
Answer:
x = -4
y = -2
Step-by-step explanation:
All you need to do is plug in the number given for y into the equation:
-4x + 8y = 0
-4x + 8(-2) = 0
-4x - 16 = 0
Add 16 to both sides:
-4x - 16 = 0
+ 16 + 16
____________
-4x = 16
Finally, divide both sides by -4:
-4x = 16
x = -4
So now you have, x = -4 and y = -2
On a coordinate plane, a line goes through (0, negative 5) and (5, 0).
A system of equations consists of a line s of the equation y = x - 5 that is graphed in orange, and a line t that passes through the points (0, 2) and (8, -4). The equation of line t is y = −3
4
x + 2. What is the solution to this system of linear equations?
(_,_)
Answer:
(5,-5)
Step-by-step explanation:
there is 5 and there is -5 therefore it make s(5,-5)
Answer:
4,-1
Step-by-step explanation:
i just did the assingment
I need help pleaseeeeee
Write the equation of a line that passes through the point (-2, 1) and has a slope of 4.
Answer:
y=4x-3
Step-by-step explanation:
y=(slope)x+b
y=4x+b
Insert Point:
[tex]1=4(1)+b[/tex]
[tex]b=-3[/tex]
The stem-and-leaf plot shows the heights in centimeters of Teddy Bear sunflowers grown in two different types of soil.
Soil A Soil B
5 9
5 2 1 1 6 3 9
5 1 0 7 0 2 3 6 7 8
2 1 8 3
0 9
Key: 9|6 means 69 Key: 5|8 means 58
Calculate the mean of each data set.
Calculate the mean absolute deviation (MAD) of each data set.
Which set is more variable? How do you know?
Answer:
Soil A mean: 71.8
Soil B mean: 72
Soil A MAD: 8.16
Soil B MAD: 5.4
Soil A set is more variable because it has a greater MAD. This feature is also seen in the stem-and-leaf plot, where Soil A set is more spread than Soil B set
Step-by-step explanation:
Soil A | |Soil B
|5|9
5 2 1 1|6|3 9
5 1 0|7|0 2 3 6 7 8
2 1|8|3
0|9|
Soil A mean: (65 + 62 + 61 + 61 + 75 + 71 + 70 + 82 + 81 + 90)/10 = 71.8
Soil B mean: (59 + 63 + 69 + 70 + 72 + 73 + 76 + 77 + 78 + 83)/10 = 72
Soil A MAD: ( |65 - 71.8| + |62 - 71.8| + |61 - 71.8| + |61 - 71.8| + |75 - 71.8| + |71 - 71.8| + |70 - 71.8| + |82 - 71.8| + |81 - 71.8| + |90 - 71.8|)/10 = 8.16
Soil B MAD: ( |59-72| + |63-72| + |69-72| + |70-72| + |72-72| + |73-72| + |76-72| + |77-72| + |78-72| + |83-72| )/10 = 5.4
Write this statement as an expression: Add 452 to the difference of 783 and 546. *
Your answer
Answer:
452 + (783-546)
Step-by-step explanation:
Using BEDMAS you would do the brackets first to find the difference of 783 and 546 then you would add 452.
452+(783-546)
452+237
=689