The number of cattle would be 136,000 and the comparable ratio would be 4/10.
What is the equivalent ratio?When we compare two ratios, they are said to be equivalent.
To determine whether two or more ratios are equivalent, they can be compared to one another.
For instance, ratios 1:2 and 2:4 are equivalent.
Equivalent ratios are two ratios with the same value.
By multiplying or dividing the two amounts by the same number, you may determine the corresponding ratio.
Finding equivalent fractions follows the same procedure.
So, an equivalent ratio is required by the question.
This refers to a fraction that is equal to 2/5 of the fraction between 700 and 799.
We multiply the numerator and denominator by the same amount to produce an equivalent fraction.
When we divide both by 2, we get:
(2*2)/(5*2) = 4/10
While working with thousands, tenths are helpful since subtracting a zero when taking a tenth makes it usable.
As a result, 1/10 would equal 34000, and 4/10 would equal four times that: 4(34000) = 136000.
Therefore, the number of cattle would be 136,000 and the comparable ratio would be 4/10.
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Complete question:
There were about 340,000 cattle placed on feed. Write an equivalent ratio that could be used to find how many of these cattle were between 700- 799 pounds. How many of the 340,000 cattle placed on feed were between 700-799 pounds?
Weight Group. Fraction of total cattle
less than 600. 1\5
pounds.
600-699. 11/50
700-799. 2\5
800. 9\20
Which expression has a solution of 12, if m = 7?
Answer:
“m + 5”
internet
The number of fish on a fish farm increases by approximately 10% each month. If there were originally 350 fish, calculate to the nearest 100 how many fish there would be after 12 months.
Answer:
There would be 600 fish after 12 months.
Step-by-step explanation:
The number of fish on the farm increases by 10% each month, so the formula to calculate the number of fish after n months is:
F = 350 * (1 + 0.1)^n
where,
F is the number of fish after n months
We want to find the number of fish after 12 months, so:
F = 350 * (1 + 0.1)^12
F = 350 * 1.719178
F = 603.56 to the nearest 100, which is 600.
Genesis is trying to pick out an outfit for the first day of school. She can choose from 7 pairs of pants, 2 t-shirts, 3
sweaters or hoodies, and 3 pairs of shoes. How many
different outfits does Genesis have to choose from?
Help please
Answer:
Genesis has 126 different outfits to choose from.
Step-by-step explanation:
To calculate the total number of different outfits Genesis can choose, we need to multiply the number of choices available for each article of clothing. So we have:
7 choices for pants
2 choices for t-shirts
3 choices for sweaters or hoodies
3 choices for shoes
To find the total number of outfits, we multiply the number of choices for each category:
7 x 2 x 3 x 3 = 126
Therefore, Genesis has 126 different outfits to choose from.
126 different combination does Genesis have to choose.
We have,
Pants = 7
T shirts = 2
Sweaters or Hoodies = 3
Shoes = 3
So, the number of different combination is
= C(7, 1) x C( 2, 1) x C(3, 1) x C(3, 1)
= 7 x 2 x 3 x 3
= 126 ways
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Which interval notation represents the set of all number greater than or equal to 1
and less than 6?
Answer:
The interval notation for the set of all numbers greater than or equal to 1 and less than 6 is [1, 6).
Step-by-step explanation:
I NEED TO KNOW
What does 1 + 1 equal?
(A) 11
(B) 1
(C) 16
(D) 1/8
I WILL MARK BRANLIEST
Value of expression 1 + 1 = 2
What is addition?Addition is the process of adding two or more items together. In math, addition is the method of calculating the sum of two or more numbers.
Given expression,
1 + 1
+ is sign of Addition, Adding the numbers,
1 + 1 = 2
Hence, 2 is the value of expression 1 + 1.
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(a) in how many ways can 3 boys and 3 girls sit in a row? (b) in how many ways can 3 boys and 3 girls sit in a row if the boys and the girls are each to sit together? (c) in how many ways if only the boys must sit together? (d) in how many ways if no two people of the same sex are allowed to sit together?
a) 720 ways 3 boys and 3 girls sit in a row.
b) 48 ways boys and the girls are each to sit together.
c) 6 ways boys must sit together.
What is Combination?Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order. Permutations and combinations can be mixed up.
Given:
Number of girls= 3
Number of boys = 3
a) Using Permutation
⁶P₆ = 6! / (6 - 6)!
⁶P₆ = 6! / (0!)
⁶P₆ = 6!
= 6 × 5 × 4 × 3 × 2 × 1
= 30 × 24
= 720
b) 3 boys and 3 girls sit in a row if the boys and the girls are each to sit together
= 3! x 2³
= 3 x 2 x 2 x 2 x 2
= 48 ways
c) the number of ways boys can sit together
= 3!
= 6 ways
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Wendy's math certificate is 7 inches tall and 9 inches wide. Wendy wants to put the certificate in a fancy frame that costs $2.00 per inch. How much will it cost to frame Wendy's math certificate?
Answer:
Step-by-step explanation:
The perimeter of Wendy's math certificate is 7 inches + 7 inches + 9 inches + 9 inches = 32 inches.
So, the cost to frame Wendy's math certificate would be $2.00 per inch * 32 inches = $64.00.
Ron is making dinner for his family.
The recipe he is using calls for
0.5 kilogram of ground chicken. How
many grams of ground chicken does
he need?
He need the 500 gram of ground chicken.
What is unit conversion?It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.
We are Given that the total kilogram of chicken = 0.5 kilograms
Recall :
1000 grams = 1 kilogram
Hence,
B grams = 0.5 kg
B = (0.5 x 1000) = 500 gram.
Hence,
The 500 gram of ground chicken.
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A small country emits 92,000 kilotons of carbon dioxide per year. In a recent global agreement, the country agreed to cut its carbon emissions by 5% per year for the next 15 years. In the first year of the agreement, the country will keep its emissions at 92,000 kilotons and the emissions will decrease 5% in each successive year. How many total kilotons of carbon dioxide would the country emit over the course of the 15 year period, to the nearest whole number?
Answer:
To calculate the total amount of carbon dioxide emitted over the course of 15 years, we can start with the initial amount of 92,000 kilotons and multiply by 0.95 (the reduction factor) each year.
Step-by-step explanation:
Year 1: 92,000 kilotons
Year 2: 92,000 * 0.95 = 87,400 kilotons
Year 3: 87,400 * 0.95 = 82,990 kilotons
and so on, until year 15.
To find the total amount of carbon dioxide emitted over the course of 15 years, we need to sum up the emissions for each year:
92,000 + 87,400 + 82,990 + ... + (92,000 * 0.95^14) = 92,000 * (1 + 0.95 + 0.95^2 + ... + 0.95^14)
This is a finite geometric series and can be calculated using the formula for the sum of a finite geometric series:
S = a * (1 - r^n) / (1 - r),
where S is the sum, a is the first term, r is the common ratio, and n is the number of terms.
For this series, a = 92,000, r = 0.95, and n = 15. Plugging these values into the formula, we get:
S = 92,000 * (1 - 0.95^15) / (1 - 0.95)
S = 92,000 * (1 - 0.556774) / 0.05
S = 92,000 * 0.443226 / 0.05
S = 92,000 * 8.86452
S = 814,178.24 kilotons
Rounding to the nearest whole number, the country would emit 814,178 kilotons of carbon dioxide over the course of 15 years.
Are x and y common factors?
Answer:
yes
Step-by-step explanation:
In maths, x and y are variables. common factor is taken only when these variables are repeatedly used.
Find the value of each variable on the triangle
One side x one side y one side 13 and the measurement is 45 degrees
Value of variable x = 13/√2
Value of variable y = 13/√2
What is trigonometric ratio?Trigonometric ratios are the ratios of the length of sides of a triangle. These ratios in trigonometry relate the ratio of sides of a right triangle to the respective angle. The basic trigonometric ratios are sin, cos, and tan, namely sine, cosine, and tangent ratios.
sin θ = Perpendicular/Hypotenuse
cos θ = Base/Hypotenuse
tan θ = Perpendicular/Base
Given,
In the right triangle ABC
AC = 13
AB = x
BC = y
∠C = 45°
Sin 45° = AB/AC
1/√2 = x/13
x = 13/√2
AB = 13/√2
Tan 45° = AB/BC
1 = (13/√2)/y
y = 13/√2
BC = 13/√2
Hence, 13/√2 is the value of both variables x and y.
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I HAVE 10 MINUTES PLEASE HELP!!!!The density of water is 1 gram per cubic centimeter. An object floats in the water if its density is less than water's density, and it sinks if its density is great than water's.
Suppose a ball with mass 90 grams is in the shape of a sphere with radius 4 centimeters. Will the ball sink or float in the water?
ROUND YOUR ANSWERS TO THE NEAREST HUNDRETH AND USE THE
π
π
BUTTON WHEN CALCULATING
The volume of the ball is about___cubic centimeters. The density of the ball is___grams per cubic centimeter. Based on its density, the ball will___.
Answer:
Step-by-step explanation:
Basically, we want to use the formula for the area of a sphere: V = 4/3πr^3
And plug-in our radius, 4 for r.
We get an answer around 67 sooooooo
The volume of the ball is about__67__cubic centimeters. The density of the ball is__1.343__grams per cubic centimeter. Based on its density, the ball will__sink__.
Answer:
The base should be sink
Calculation of the volume, density:
Since the density of water is 1 gram per cm^3.
The volume is
Here a = base area and h = height of the pyramid
So,
Now
Density is
Since The mass of the pyramid is 1.17 g.
So, the density is
Density
Since its density is more than that of water, so it will sink.
Hence, we can conclude that The base should be sink.
Step-by-step explanation:
Hope this helped!
Brittany works as a medical office assistant. She is married and claims 2 withholding allowances. Use the wage
bracket method to find Marianne's withholding tax if her monthly gross earnings are $3,270.
$305.00
$155.00
$205.00
$255.00
Marianne's withholding tax if her monthly gross earnings are $3,270 is $305.00.
The correct option is A.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
Brittany works as a medical office assistant.
She is married and claims 2 withholding allowances.
Her monthly gross earnings are $3,270.
So, 3270 - 2(666.5) = $1937.3
So,
(1937.3 x 0.15) + 14.49 = $305.00
Therefore, the value is $305.00.
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a bag contains four red jelly beans and 7 green jelly beans. what is the probability of randmly wuthdrawing 5 jellybeans such that at least 2 are red
To find the probability of randomly withdrawing 5 jellybeans such that at least 2 are red, we need to find the total number of ways to select 5 jellybeans from the bag and then find the number of ways to select 2 or more red jellybeans.
Let's first find the total number of ways to select 5 jellybeans from the bag:
Total number of jellybeans = 4 red + 7 green = 11 jellybeans
Number of ways to select 5 jellybeans from 11 = 11 choose 5 = 462
Next, we need to find the number of ways to select 2 or more red jellybeans:
Number of ways to select 2 red jellybeans = 4 choose 2 = 6
Number of ways to select 3 red jellybeans = 4 choose 3 = 4
Number of ways to select 4 red jellybeans = 4 choose 4 = 1
Total number of ways to select 2 or more red jellybeans = 6 + 4 + 1 = 11
The desired probability is the ratio of the number of favorable outcomes (selecting 2 or more red jellybeans) to the total number of possible outcomes (selecting 5 jellybeans):
P(at least 2 red) = 11/462 = 11/462 = 0.0239 or 2.39%
So, the probability of randomly withdrawing 5 jellybeans such that at least 2 are red is 2.39%.
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Joe bought 5 apples and 2 oranges for his family from a refreshment stand at the beach and paid $9. Ms. Sanders bought 7 apples and 3 oranges for her family at the same refreshment stand and paid $13. Define two variables, write and solve a system of equations to find the cost of an apple and the cost of an orange.
The cost of an apple is $1 and the cost of an orange is $2
How to write and solve a system of equationsFrom the question, we have the following parameters that can be used in our computation:
x = apples
y = oranges
Using the above as a guide, we have the following:
5x + 2y = 9
7x + 3y = 13
Multiply (1) by 3 and (2) by 2
15x + 6y = 27
14x + 6y = 26
Subtract
x = 1
So, we have
5(1) + 2y = 9
This gives
y = 2
Hence, the cost of orange is $2
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Lei is designing a construction set for small children. The set includes cylindrical cups with radii of 5 cm, 6 cm, and 7 cm as well as rectangular blocks that measure 7 cm by 8 cm by 9 cm. Will the blocks fit inside all of the cups?
The rectangular blocks with the measure of 7 cm by 8 cm by 9 cm will not fit in the smallest cylindrical cup with the radius of 5cm.
Rectangular block with the least dimensions, 7cm by 8cm side.
Circle with radius r is x² + y² = r²
∴ x² + y² = 5² or x² + y² = 25
Draw the area of the block using the coordinates (3.5,4) ; (-3.5,4) ; (-3.5,-4) and (3.5,-4)
Its observed that the block cannot fit inside the cup. We can confirm this if
y >4 when x = 3.5
3.5² + y² = 25
12.25 + y² = 25
y² = 12.75
taking positive square root, y≈3.57
Since this is <4, the block cannot fit the 5 cm radius cup.
equation for the cup with r = 6cm,
x² + y² = 6² or x² + y² = 36
Draw the area of the block using the coordinates (3.5,4) ; (-3.5,4) ; (-3.5,-4) and (3.5,-4)
it is observed the block will fit inside the cup as y>4 when x = 3.5
3.5² + y² = 36
12.25 + y² = 36
y² = 23.75
taking positive square roots, y≈4.87
Since this is >4, the block can fit the 6 cm radius cup.
equation for the cup with r = 7cm,
x² + y² = 7² or x² + y² = 49
Draw the area of the block using the coordinates (3.5,4) ; (-3.5,4) ; (-3.5,-4) and (3.5,-4)
it is observed the block will fit inside the cup as y>4 when x = 3.5
3.5² + y² = 49
12.25 + y² = 49
y² = 36.75
taking positive square roots, y≈6.06
Since this is >4, the block can fit the 7 cm radius cup.
∴ the block will not fit the smallest cup
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Which fraction of the whole circle is this sector?
Answer: 23/72
Step-by-step explanation:
180 degrees = half of circle
5 degrees = 1/72 of circle
5 degrees times 23 = 115 degrees
1/36*23 = 23/72
Answer:
23/72 of a circle
Step-by-step explanation:
4×sector=circle
90÷360=1/4
so,
115/360=23/72
URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS
If a regular octahedron has a surface area of 32 square inches what is the surface area of each face?
The surface area of each face is 4 square inches.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
A regular octahedron has a surface area of 32 square inches.
That means
all sides are equal.
The surface area of each face is,
= 32/8
= 4 square inches.
Therefore, the required area is 4 square inches.
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5. 7 movie tickets for $56
To find out how much each ticket costs, we can use this equation:
Total cost ÷ Number of tickets = Price of each ticket
Inserting the numbers into the equation would look like this:
56 ÷ 7 = 8To check our work, we can multiply the number of tickets by the price of each ticket to see if it matches up to the correct total price.
7 × 8 = 56Therefore, each ticket costs $8.
(PLEASE HEEEEEEEEELP!!!!!)
A company manufactures computer memory chips as circular silicon wafers with a diameter of 10 inches. The wafers are cut into different sized sectors. Match each wafer's central angle to the area of that sector.
The area and the angle are matched as below.
Area Angle
25/8 π in² = 45°
25/18 π in² = 20°
25/36 π in² = 10°
What is a circle?A circle is a two-dimensional figure with a radius and circumference of 2πr.
The area of a circle is πr².
We have,
Diameter = 10 in
Radius = 5 in
Area of the circle in sector = 360°
πr² = 360
π x 5² = 360
25π in² = 360° _____(1)
Now,
From (1),
25π in² = 360°
Divide both sides with 8.
25/8 π in² = 45°
From (1),
25π in² = 360°
Divide both sides with 18.
25/18 π in² = 20°
From (1),
25π in² = 360°
Divide both sides with 36.
25/36 π in² = 10°
Thus,
Area Angle
25/8 π in² = 45°
25/18 π in² = 20°
25/36 π in² = 10°
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In the diagram below, BE BC, m/A = 39° and m/EBC = 124°. Find m/FDC
∠AFB = 73° is the angles of a triangles .
What does a math angle mean?
An angle is made up of two rays (half-lines) that have a shared termination. The rays serve as the angle's sides, occasionally serving as the angle's legs and occasionally serving as its arms, while the latter is referred to as the vertex of the angle.
because the angles of a triangles add up to 180 degree
m∠A = 39° , m∠ADC = 107°
so ∠c = 180 - 107 - 39
= 34°
BE ≅ BC
∠C = ∠E = 34°
SO ∠EDF = 180 - 107 = 73°
So ∠DEF = 180 - 34 - 73 = 73°
Because m∠DFE and ∠AFB are vertical angle
so ∠DFE = ∠AFB
∠AFB = 73°
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Pls help me on this math equation
Step-by-step explanation:
This is a trick question I think.
It says he managed to only travel 3 7/8. So wouldn't that mean the fraction of his planned trip that he travel would be... 3 7/8? Unless they want it as 31/8? Something is odd with the question
need help with this question
or
Watch a video
Find the cosine of ∠U.
28
45
53
U
V
T
Simplify your answer and write it as a proper fraction, improper fraction, or whole number.
Cosine of ∠U is 28/53 in proper fraction, 28/53 in improper fraction, 0.52609 in whole number.
The cosine of an angle in a right triangle can be found using the ratio of the adjacent side to the hypotenuse. In this triangle, the adjacent side to ∠U is 28 and the hypotenuse is 53.
cos(∠U) = adjacent side ÷ hypotenuse = 28 ÷ 53 = 28/53
So, the cosine of ∠U is 28/53, written as a proper fraction.
Now let's convert cosine of ∠U is 28/53 in improper fraction:
The cosine of ∠U, which is 28/53, can be expressed as an improper fraction by dividing both the numerator and denominator by their greatest common factor.
gcd(28, 53) = 1, so the fraction cannot be further simplified.
Therefore, the cosine of ∠U, expressed as an improper fraction, is 28/53.
Now let's convert cosine of ∠U is 28/53 in whole number:
The cosine of ∠U, which is 28/53, can be expressed as a whole number by dividing the numerator by the denominator.
28 ÷ 53 = 0.526087
So, the cosine of ∠U expressed as a whole number is approximately 0.52609
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_____ The given question is not correct, so correct Question is:
Find the cosine of ∠U in Triangle UTV with side:
UV=28
VT=45
TU=53
Simplify your answer and write it as a proper fraction, improper fraction, or whole number.
help plssssssssssssssss
•Mr Bradford lunged at his wedding ring as it fell into the WHIRLPOOL of the bathtub drain.
•Sarah's morher CALMED her screaming baby by giving her a teddy bear to hold.
Answer: whirlpool, calmed
Step-by-step explanation:
A vortex looks like a whirlpool
Since the baby is scream giving a teddy bear will probably calm it
Keisha collects vintage glass marbles. Her favorite marbles have a diameter of 2.5 centimeters each. She keeps 66 of her favorite marbles in a pouch. One cubic centimeter of glass has a mass of 2.6 grams. What is the mass of the marbles in Keisha’s pouch rounded to the nearest gram? Use 3.14 for π
Answer:
The volume of one marble can be calculated as follows:
V = (4/3) * π * (r^3)
where r = 1.25 cm (diameter of 2.5 cm divided by 2)
V = (4/3) * 3.14 * (1.25^3) = 5.20 cm^3
The mass of one marble is then:
m = V * 2.6 g/cm^3 = 13.52 g
And the total mass of 66 marbles is:
m = 66 * 13.52 g = 888.32 g
Rounding to the nearest gram, the total mass of the marbles in Keisha's pouch is 888 g.
Write the following as a composition of two or more non-identity functions.
(2x^3 + 2)/(x^3 - 2)
The given expression (2x^3 + 2)/(x^3 - 2) can be written as a composition of two non-identity functions as follows:
Let f(x) = 2x^3 + 2 and g(x) = x^3 - 2.
Then, the expression can be written as:
f(x)/g(x) = (2x^3 + 2)/(x^3 - 2)
So, the expression is a composition of the two non-identity functions f and g, written as:
h(x) = f(g(x)) = (2x^3 + 2)/(x^3 - 2)
it is believed that 85% of all individuals love bts. we took a sample of 30 individuals and found the 95% of all people love bts. what is the z score associated with our observation (round answers to two decimal places)?
The Z score associated with our observation is 2.45. This means that our observed value is 2.45 standard deviations away from the expected value.
2.45
Z score = (Observed value - Expected value) / Standard Deviation
Z score = (95 - 85) / √(85*(1-85)/30)
Z score = 2.45
We can calculate the Z score associated with our observation by taking the observed value, 95%, and subtracting the expected value, 85%, and dividing this by the standard deviation. To calculate the standard deviation, we use the formula: √(expected value*(1-expected value)/sample size). In this case, 85*(1-85)/30. The Z score associated with our observation is 2.45. This means that our observed value is 2.45 standard deviations away from the expected value.
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