there are 60 cows in a field .some are brown and the rest are white. Two thirds of the brown cows are less than one year old. Three quarters of the white cows are less than one year old. There are twelve more brown cows than white cows. what fraction of all the cows are less than one year old?
Answer: 0.7
Step-by-step explanation:
Let the number of white cows be x
Thus, the number of brown cows be (x+12)
Hence,
x+(x+12)=60
x+x+12=60
2x+12=60
2x+12-12=60-12
2x=48
Divide both parts of the equation by 2:
x=24 white cows
x+12=36 brown cows
The number of white cows are less than one year old:
[tex]\displaystyle\\\frac{3}{4}(24)=\\\\\frac{3(24)}{4}=\\\\ 3*6=\\\\ 18\ white\ cows[/tex]
The number of brown cows are less than one year old:
[tex]\displaystyle\\\frac{2}{3}(36)=\\\\ \frac{2(36)}{3}=\\\\ 2*12=\\\\24 \ brown \ cows[/tex]
The total number of cows are less than one year old:
[tex]18+24=42\ cows[/tex]
Thus
Fraction of all the cows are less than one year old:
[tex]\displaystyle\\\frac{42}{60}=\\\\\frac{6*7}{6*10}=\\\\\frac{7}{10} =\\\\ 0.7[/tex]
Khadija bought 8 chicken wings for $10.40. If Khadija spent $3.90, how many chicken wings did she buy?
Answer:
she bought 3 chicken wings
Step-by-step explanation:
8c = 10.4 --> where c is the cost of a chicken wing
c = 10.4 divided by 8
= 1.3
xc = 3.9 (x = number of chicken wings)
1.3x = 3.9
x = 3.9 divided by 1.3
which is 3
The table shows pricing information for two pizzas. How many toppings would
number 13 only
The number of toppings where the cost of each pizza would be equal is 5.
How many toppings would make the pizza equal?The first step is to formulate an equation that represents the cost of each type of pizza.
Total cost = price of cheese pizza + (price per topping x number of toppings)
Cost of pizza A = $10 + $1.50t
Cost of pizza B = $12.50 + t
When the cost of both pizzas are equal, the above equations would be equal to each other.
$10 + $1.50t = $12.50 + t
To determine the value of t, take the following steps:
Combine similar terms: 1.50t - t = $12.50 - $10
Add similar terms = 0.50t = 2,50
Divide both sides by 0.50 = t = 2.50 / 0.50
t = 5
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What is the Value of X?
Answer:
63
Step-by-step explanation:
180 - 143 = 37
80 + 37 + x = 180
117 + x = 180
x = 63
0 = -8| n - 4| solve for n
Answer:
n=4
Step-by-step explanation:
get rid of the -8 by dividing 0 by it
then get rid of the abs sign by plus minus 0 which is still 0. then its n-4=0
n=4
12. A bus on a regular schedule takes 3 14 hour
express?
O A. 34 hours
O B. 1 14 hours
O C. 2 hours
O D. 534 hour
Answer:
3 1/4 hours = 3 + 1/4 = 3 + 0.25 = 3.25. 2 1/2 hours = 2 + 1/2 = 2.5. To find out how much travel time can be saved by taking the express, simply subtract its travel time (which is shorter) from the regular's one. So 3.25 - 2.5 = 0.75 or 3/4.
so the answer is a
Write the function (x−6)2=81 in standard form.
Answer:
2x = 93
Step-by-step explanation:
(x - 6)2 = 81
2x - 12 = 81
+12 +12
------------------
2x = 93
÷2 ÷2
----------------
x = (93/2)
I hope this helps!
1) Alan works for a printing company. It has been a little over four years since he was hired.
He now makes $54,080 per year. When he was hired he was told that he had five days of
paid vacation time. For each year that he worked at the company, he would gain another
two days of paid vacation time to a maximum of 20 days. How many paid vacation days
does he now get at the end of four years of employment and how much will he make during
the time he is on vacation?
A. He now receives paid vacation days at the end after four years of employment = 13Days.
B. he make it while on vacation = $2,704.00
What are paid vacation?Paid vacation is a set amount of time which employers grant to their employees to spend throughout the year. When an employee spends a paid vacation day, they are not required to work that day, but they will be paid the same as if they had worked.
What is the objective of paid vacation?Paid vacation and sick days assist balance your employees' physical and emotional health and well-being, while also providing adequate paid time off to fulfill personal and family responsibilities while keeping your firm successful.
According to the given data:A. He now receives paid vacation days at the end after four years of employment..
#of years worked # of vacation days
0 5
1 5 + 2 = 7
2 7 + 2 = 9
3 9 + 2 = 11
4 11 + 2 = 13
He now receives paid vacation days at the end after four years of employment = 13Days.
B. will he make it while on vacation.
Find his daily pay:
5 days per week with
52 weeks per year
Daily pay = Annual salary/(5 x 52)
= 54,080/ 260
= $208.00
Find his vacation pay
Vacation pay = Daily pay x of days
= 208 x 13
= $2,704.00
he make it while on vacation = $2,704.00
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I understand that the question you are looking for is:
Alan works for a printing company. It has been a little over four years since he was hired. He now makes $54,080 per year. When he was hired he was told that he had five days of paid vacation time. For each year that he worked at the company, he would gain another two days of paid vacation time to a maximum of 20 days.
A. How many paid vacation days does he now get at the end of four years of employment.
B. How much will he make during the time he is on vacation?
Yesterday, drove 44 and 1 half
miles. used 1 and 1 fourths
gallons of gasoline. What is the unit rate for miles per gallon?
Answer:
The unit rate for miles per gallons is 35.6 miles per gallon used by him.
Step-by-step explanation:
In the given condition he drove 44 and 1/2 miles and used a total of 1 and 1/4 gallons of gasoline.
Now, we have to calculate the number of miles he travelled in each gallon.
So, 44 and 1/2 miles can be written as 44.5 miles.
And 1-1/4 gallons can be written as 1.25 gallons.
Now, we need to form an equation from the above condition;
=> 44.5 = 1.25
=> x = 1 (here, x is the number of miles per gallon)
Now, after cross multiplying the equation;
=> 44.5 × 1 = 1.25 × x
=> 44.5 = 1.25 x
=> 44.5 / 1.25 = x
=> x = 35.6 miles per gallon
Therefore, the unit rate for miles per gallons is 35.6 miles per gallon used by him.
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All change The crew of the spaceship Valor has been allotted land equivalent to 2.25 x 106 for their settlement on the planet Yevov. They have dedicated an area that is equivalent to 900, 000 for farming Explain which unit of measurement-square inches, square ounces, or square feet-best describes these measurements. Be specific.
Answer: square feet
Step-by-step explanation:
2.25 x 10^6=
2.25 * 1,000,000=
225/100 * 1,000,000=
225*1,000,000/100=
225*10,000=2,250,000 ==> can't be square inches since a mile is 63,360 inches. This would mean that 2,250,000 is approximately 40 square miles which is small for a planet.
Square ounces is also a very small unit, so the only appropriate answer and the largest unit available is square feet.
Please help i need it
Answer:
Mei is correct because -9 is to the left of -3 on the number line.
Step-by-step explanation:
This is because -9 is LESS than -3, when you add or subtract using negative numbers, such as 7-9, you get -2. However when you subtract 7-13, you get -6. Because you subtracted a greater number from 7, your answer is -6 is LESS than -2. This is the same with inequalities, greater negative numbers will always be smaller and smaller negative numbers will always be greater.
Hope this helps!
you found a pair of jordans that you have always wanted, and they are on sale. the original price is $325.00 but with a sales discount of 40% off.
1. what is the original price
2. What is 40% of the original price
3. what operation do you complete after you find the discount
4. What is the final price
Answer:
1. 325
2. 130
3. 325 - 130 = 195
4. 195
Step-by-step explanation:
Find the original price
Get the discount percentage
Calculate the savings
Subtract the savings from the original price to get the sale price
and You're all set!
I need Help!!!
The graph of f(x) is given below. Select all of the true statements about the continuity of f(x) at x=−3.
The true statement about the continuity of f(x) at x=−3 is (c) lim x -> -3 f(x) ≠ f(-3)
How to determine the true statements about the continuity of f(x) at x=−3?The graph represents the given parameter
On the graph, there is an open circle at x = -3
This means that there is a removable discontinuity at x = -3
A removable discontinuity at x = -3 implies that
lim x -> a at f(x) exists
However,
lim x -> a at f(x) does not equal lim x -> a at f(a)
Hence, the true statement about the continuity of f(x) at x=−3 is (c) lim x -> -3 f(x) ≠ f(-3)
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FIND THE MISSING NUMBER
?
9 6
247
1352
Answer:
7 Po Pa Brainlest nalang po
Find the greatest common factor of 10m2 and 4m4.
Answer:
The greatest common factor of 10m2 and 4m4 is:
2
Step-by-step explanation:
Select the right answers:
f(x) = x2 + 1 g(x) = 5 – x
(f + g)(x) =
Answer:
3rd choice
Step-by-step explanation:
f(x) = x^2 + 1
g(x) = 5 – x
(f + g)(x) = (x^2 + 1 ) + (5 – x)
x^2 + 1 + 5 x^2
x^2 - x + 6
Find TJ if HJ=2.8
A-4.2
B-2.8
C-1.4
D-0.93
Use Fleury's Algorithm to find an Euler circuit through the graph by listing the vertices in the order visited.
Use Fleury's Algorithm to find an Euler path through the graph using this new edge by listing the vertices in the order visited is; G-H-L-K-G-J-I-G
How to find Euler's Path?A quick examination of the given graph tells us that two of the seven vertices (G, I) have an odd number of edges while the other five (F, H, J, K, L) have an even number. Since every vertex must have an even number of attached edges for us to possibly construct an Eulerian circuit, our first step is necessary to add an edge connecting G to I.
A somewhat easy way to now construct an Eulerian circuit would be to take our original graph (i.e. without the G-I edge) and find an Eulerian path from D to H, then end by taking our added D-H edge back to D.
The way to find Fleury's Algorithm, is that;
1) Start with classifying the vertices of the given graph as odd and even. If there are 0 or 2 odd vertices, then continue with the algorithm.
2) Begin with any one of the odd vertices, if they exist, otherwise arbitrarily choose a vertex as the starting point.
3) Travel every edge exactly once such that the bridges in the graph are travelled at the end.
4) Stop when all the edges are travelled.
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A mole is a unit of measurement in chemistry. If 1 mole contains 6.02×1023 particles, how many particles are in 12 of a mole?
The number of particles in 12 of a mole is 7.22 × 10^24 particles
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to determine the number of particles in 12 of a mole?The given parameter is
1 mole contains 6.02 × 10^23 particles
Rewrite the above equation properly
So, we have
1 mole = 6.02 × 10^23 particles
Multiply both sides by 12
So, we have
12 x 1 mole = 12 x 6.02 × 10^23 particles
Evaluate the product
So, we have
12 moles = 7.22 × 10^24 particles
Hence, the number of particles in 12 of a mole is 7.22 × 10^24 particles
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Write each equation in slope-intercept form. 1 Write the equation of the line perpendicular to yx that passes through the point (3,-8).
Answer:
The line perpendicular to YX that passes through the point (3,-8) is (y = − x + 5).
Step-by-step explanation:
It is given that a line perpendicular to YX passes through the point (3,-8).
Now,
The slope of the line perpendicular to the line YX is 1.
=> y = x
So, Slope = 1
Furthermore, the slope of the required line can be written as -1.
So, the required line can be written in slope-intercept form as;
=> y = − x + c
It is further given that the line passes through the point (3,2);
So, after putting all the value in the above-mentioned equation, we get;
=> 2 = − 3 + c
=> c = 5
So, x + y = 5
Therefore, the line perpendicular to YX that passes through the point (3,-8) is (y = − x + 5).
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The line perpendicular to YX that passes through the point (3,-8) is (y = − x + 5).
In elementary geometry, two geometric objects are perpendicular if they intersect at a right angle. The condition of perpendicularity may be represented graphically using the perpendicular symbol, ⟂. It can be defined between two lines, between a line and a plane, and between two planes.
In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.
It is given that a line perpendicular to YX passes through the point (3,-8).
Now,
The slope of the line perpendicular to the line YX is 1.
=> y = x
So, Slope = 1
Further more, the slope of the required line can be written as -1.
So, the required line can be written in slope-intercept form as;
=> y = − x + c
It is further given that the line passes through the point (3,2);
So, after putting all the value in the above-mentioned equation, we get;
=> 2 = − 3 + c
=> c = 5
So, x + y = 5
Therefore, the line perpendicular to YX that passes through the point (3,-8) is (y = − x + 5).
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You are running a fuel economy study one of the cars you find is blue it can travel 40 1/2 miles on 1 1/4 gallons of gasoline another car is red it can travel 23 1/5 miles 4/5 gallon of gasoline What is the unit rate for miles per gallon for each car which car could travel the greater distance on 1 gallon of gasoline
The unit rate for miles per gallon for each car is 32.4 miles per gallon and 29 miles per gallon which. The car that could travel the greater distance on 1 gallon of gasoline is red car.
Unit rateUnit rate for blue car:
40 1/2 miles=40.5
1 1/4=1.25
Hence,
Unit rate=40.5 / 1.25
Unit rate=32.4 miles per gallon
Unit rate for red car:
23 1/5=23.2
4/5=0.80
Hence,
Unit rate= 23.2/0.80
Unit rate =29 miles per gallon
The car that could travel the greater distance on 1 gallon of gasoline is red car.
Therefore unit rate for miles per gallon for each car is 32.4 miles per gallon and 29 miles per gallon which. The car that could travel the greater distance on 1 gallon of gasoline is red car.
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What is A-B-C PLEASE HURRYYY!!!
The scientific notation and standard form values of A-B-C are as follows:
A) 7.4 is 100 million times larger than 7.4 x 10⁻⁸
B) 10⁻⁸ is 100 million times smaller than 10.
C) The value 7.4 x 10⁻⁸ is 527 times smaller than 0.000039.
What is a scientific notation?We use scientific notation in writing large or small numbers by multiplying a number between 1 and 10 by a power of 10.
Data and Calculations:Scientific Standard
Notation Form
3.9 x 10⁻⁵ 0.000039
7.4 x 10⁻⁸ 0.000000074
7.4 is 100 million times larger than 7.4 x 10⁻⁸ because 7.4 x 10⁻⁸ = 0.000000074, showing that the decimal point is moved 8 places to the right to get 7.4. 8 zeros are 100 million.
Thus, scientific notations reduce the large numbers so that they are multiplied by the power 10, which may be positive or negative.
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Question Completion:Scientific Standard
Notation Form
0.000039
7.4 x 10⁻⁸
f(x) =|x| y-axis 3 units right
Answer:
f(x)/y = |x - 3| y
Step-by-step explanation:
Jane is buying cupcakes for a class party. The cupcakes come in packages of 6, and the store only has 10 packages out for purchase. She needs at least 5 packages to make sure all her students will receive a cupcake. What is the practical domain of the function?
Responses
All real numbers
All integers from 5 to 10 inclusive
All real numbers from 5 to 10 inclusive
All integers from 6 to 10 inclusive
{30, 36, 42, 48, 54, 60}
You should take this down. Or redo your user name.
Neva writes the following in her math notebook.
A right rectangular prisum has 6 rectangular faces.
I disagree with Neva's conclusion about the rectangular prism
How to determine the true statement?The complete question is added as an attachment
From the question, we have the following statements:
The points where the faces of a rectangular prism meet are called the vertex
Truly, a rectangular prism has 6 faces.
However, the vertices in the rectangular prism is just 8
Hence, I disagree with Neva's conclusion about the rectangular prism
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What value of x is in the solution set of the inequality 2(3x – 1) ≥ 4x – 6? –10 –5 –3 –1
Answer: -1
Step-by-step explanation:
We will find the answer to this question by isolating the x variable.
Given:
2(3x – 1) ≥ 4x – 6
Distribute the 2 with multiplication:
6x – 2 ≥ 4x – 6
Add 2 to both sides of the equation, and subtract 4x from both sides of the equation:
2x ≥ – 4
Divide both sides of the equation by 2:
x ≥ -2
The only value given that is greater than or equal to -2 is -1, leaving us with an answer of;
-1
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The solution set of the inequality 2(3x - 1) ≥ 4x - 6 is [-2, ∞). So, -1 belongs to the solution set, i.e., -1 ∈ [-2, ∞).
Mathematically, an inequality is a mathematical assertion that compares the comparative size or order of two quantities. It shows that one quantity is greater than, less than, or not equal to another. The symbols often used to show inequalities are (≥), (≤), or (≠).
The given inequality is
2(3x - 1) ≥ 4x - 6
6x - 2 ≥ 4x -6
6x - 4x ≥ -6 + 2
2x ≥ -4
[tex]x \geq -\frac{4}{2}[/tex]
x ≥ -2
x ∈ (-2, ∞).
The correct answer is -1, as -1 belongs to the solution set of the given inequality.
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An antique has a price tag of $467. The sales tax rate for the county is 9
%
. How much sales tax will be due?
Write answer to the nearest cent.
If antique has a price tag of $467 and sales tax rate be 9% then the sales tax due will be $42.03.
Given that antique has a price tag of $467 and sales tax rate be 9%.
We are required to find the amount of sales that will be due.
A sales tax is basically a tax paid to a governing body for the sales of certain goods and services.
Sales=$467
Sales tax rate=9%
Sales tax=467*9/100
=4203/100
=$42.03
Hence if antique has a price tag of $467 and sales tax rate be 9% then the sales tax due will be $42.03.
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Rewrite the expression without the negative exponent.
2x^−4
The value of expression without the negative exponent is,
⇒ 2/x⁴
What is Rule of exponent?
The rule of exponent is defined as;
aⁿ = 1/a⁻ⁿ
Now, The expression is given as;
2x⁻⁴
It can be rewrite as;
2x⁻⁴ = 2 / x⁴
Hence, The value of expression without the negative exponent is,
⇒ 2/x⁴
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If the measure of arc CDE=118 degrees and the measure of arc EF=62 degrees calculate measure of angle FGE.
The measure of angle FGE from the given figure is 28° when the measure of arc CDE = 118° and the measure of arc EF = 62°.
How the measure of an arc and measure of an angle are related?The measure of an arc is equal to the measure of its corresponding central angle.
From the given figure, the measure of arc CDE = 118° = corresponding central angle (∠CAE)
So, ∠CAE = 118°
From the given figure, the measure of arc FE = 62° = corresponding central angle (∠FAE)
So, ∠FAE = 62°
As we know the radius of a circle is perpendicular to the tangent.
That is, AE ⊥ EG
So, ∠AEG = 90°
Now, ∠AGE+∠AEG+∠GAE = 180° (The sum of interior angles of a triangle is equal to 180°)
∠AGE + 90° + 62° = 180°
⇒ ∠AGE + 152° = 180°
⇒ ∠AGE = 28°
So, ∠AGE = ∠FGE = 28°
Therefore, the measure of angle FGE from the given figure is 28°.
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- 50 1/2 + 12. 3 find the sum.
Ans : x = 11
X = - 50 1/2 + 12. 3
X= -50 * .5 + 36
X = - 25 +36
X = 11
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