One-third of the dairy cattle on a farm are in the barn. Three-fifths of the beef cattle are in the barn. There are 30 dairy cattle and 15 beef cattle in the barn. How many more dairy cattle are on the farm than beef cattle?
Christopher recorded the low temperature each day for 1 week and recorded his results in this table. Day Sunday Monday Tuesday Wednesday Thursday Friday Saturday Low −5 °F −8 °F −6 °F −8 °F −3 °F 2° F 7° F What is the average low temperature for the week? Enter your answer in the box.
Light travels at 3.0 x 105 km/s. The sun is 1.5 x 108 km from Earth. How long does it take for the sun's light to reach Earth?
Answer:
It takes 8 minutes and 20 seconds for the light to travel this distance
Step-by-step explanation:
Velocity is calculated as:
V= d/t (1)
Where d is distance and t is time. As we want to find time t we must simplify (1) for t
t= d/V (2)
We replacethe values given:
t=d/V=1.5*10^8/3.0*10^5=5*10^3 = 500 seconds
As there are 60 seconds in a minute we find
minutes = 500/60 = 50/6 = 25/3 = 8 2/3 or 8 minutes 20 seconds
What is the slope of the graph for the equation y = -5x + 8? A. 0 B. -5 C. 8
The odometer on your family car reads 20,186.7 after going
62.3 miles. How many miles were on the odometer before
going 62.3 miles?
math question down below
Which number is a perfect cube A 3 B 15 C 64 D567
Two consecutive even integers have the following property. When the smaller integer is added to three times the larger integer, the result is two less than five times the smaller integer. Find the two consecutive even integers
Final answer:
The problem is solved by creating an equation based on the given properties and solving for x, which represents the smaller even integer. After solving, we find that the two consecutive even integers in question are 8 and 10.
Explanation:
Let the smaller even integer be denoted as x. Consequently, the larger consecutive even integer will be x + 2, since even integers are two units apart.
The problem states that when we add the smaller integer to three times the larger integer (x + 3(x + 2)), the result is two less than five times the smaller integer (5x - 2). This gives us an equation to solve:
x + 3(x + 2) = 5x - 2
Expanding the left side of the equation:
x + 3x + 6 = 5x - 2
Combining like terms:
4x + 6 = 5x - 2
Now, subtract 4x from both sides:
6 = x - 2
Finally, add 2 to both sides to find the value of x:
x = 8
Therefore, the smaller integer is 8, and the larger consecutive even integer is 10.
So, the two consecutive even integers are 8 and 10.
Final answer:
To find the two consecutive even integers, assign variables x and x + 2. Set up and solve the equation x + 3(x + 2) = 5x - 2 to find x = 8. The consecutive even integers are 8 and 10.
Explanation:
To find the two consecutive even integers, let's assign variables to represent the integers. Let the smaller integer be x and the larger integer be x + 2 (since they are consecutive even integers). The problem states that when the smaller integer is added to three times the larger integer, the result is two less than five times the smaller integer.
So, we can set up the equation: x + 3(x + 2) = 5x - 2. Simplify and solve for x:
x + 3x + 6 = 5x - 24x + 6 = 5x - 24x - 5x = -2 - 6-x = -8x = 8Therefore, the smaller integer is 8 and the larger integer is 8 + 2 = 10. The two consecutive even integers are 8 and 10.
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where would 2015 be on a mod 7 clock
of all the whole numbers that divide evenly into two or more numbers the one with the highest value is called the _____________.
Nathan helps out in the family pet shop on Saturdays. He must separate a shipment of 112 fish into nine bowls. Does Nathan have enough bowls if each bowl can fit no more than 12 fish? Explain why.
In the diagram AB is parallel to CD. What is the term for the line that intersects the two parallel lines?
Answer:
its been 3 years but the answer is b
Step-by-step explanation:
how many time more respondents chose silver than red round to the nearest tenth if necessary red is .2 and .09 is silver
find the discriminant and determine the number of real solutions : 4x^2 + 7x - 15 = 0
In 2001, the population of the United States was about 2/7 billion people. It is projected that by 2025, there will be 1/3 billion people in the United States. How much will the population increase by 2025?
Pleeeeeeaaaaase show steps
Subtract the starting population from the increased population:
1/3 -2/7
Rewrite the fractions to have a common denominator:
7/21 - 6/21 = 1/21 billion increase.
Jenny's frog made one jump of 2.34 meters. Christina's frog made jumps of 1.22 meters and 0.89 meters. How much further did Jenny's frog jump in one jump than Christina's frog in two jumps combined? 0.23 m 0.33 m 1.12 m 1.45 m
took the k12 test it 0.23
Please help
An animal shelter spends $5.50 per day to care for each cat and $8.00 per day to care for each dog. Angel noticed that the shelter spent $54.00 caring for cats and dogs on Monday. Angel found a record showing that there were a total of 8 cats and dogs on Monday. How many cats were at the shelter on Monday?
Jack and Jessica and the same amount last week.Jack earned $18 per hour and had $41 taken away from his check for Taxes. Jessica earned $15 an hour and had to $17 deducted from her pay. how many hours did they each work in order to get paid the same amount
Graph y=− 4/7 x+1 .
Hamburger costs $1.50 per pound and soy costs $1.00 per pound. The school cafeteria uses 50 more pounds of soy than hamburger and spends $350 a week. How much soy does the school use?
terrell runs 15 sprints. each is 65 meters. how many does terrell run
f y = 16x, which table shows the values of y for different values of x?
x 0 2 4
y 0 18 20
x 0 2 4
y 0 8 4
x 0 2 4
y 0 32 64
x 0 2 4
y 0 16 32
Answer:
D
Step-by-step explanation:
Ebert used to make a $22 an hour, but got a 10% raise. how much more will he make in a 40 hour work week with the raise?
There are 25 students in the class. ten students have sports practice after school. What is the ratio of students that do have practice, to those that do not?
Help ASAP plz
Convert 4500 feet per second to miles per hour.
5280 ft = 1 mi
Round to the nearest hundredth.
Enter your answer in the box.
2. Which conjecture is true?
A. An even number plus 3 is always even.
B. An even number plus 3 is always prime.
C. An even number plus 3 is always odd.
D. A prime number plus 3 is always even
C. An even number plus 3 is always odd.
Prime number: A number that can only be divided by 1 and itself. For example 7, 11, etc
Odd number: Any number that cannot be divided by 2. For example 3, 5, 7, etc
Even number: Any number than can be divided by 2. For example: 4, 6, 8, etc
If we add 2,4,6 or 1000 to 3, the resultant will be always odd. If we add 2 to 3, we will get 5 which is an odd number. If we add 8 to 3, you will get 11 which is an odd number.
So, the conjecture is :
An even number plus 3 is always odd.
Therefore the correct option is (c).
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In 8 months, 55.6 gallons were used. Find the unit rate.
Answer:
6.95 gallons/month
Step-by-step explanation:
We are given that In 8 months, 55.6 gallons were used
Amount used in 8 months = 55.6 gallons
We are supposed to find amount used per month i.e. unit rate
So, Amount used in 8 months = 55.6 gallons
Amount used in 1 month = [tex]\frac{55.6}{8}[/tex] gallons
Amount used in 1 month = [tex]6.95[/tex] gallons
So, 6.95 gallons were used in 1 month
Hence the unit rate is 6.95 gallons/month
If g(x)= 2x-1, and h(x)= square root of x, find (goh)(9)
Answer:
The [tex](goh)(9)=5[/tex]
Step-by-step explanation:
We need to find out the [tex](goh)(9)[/tex]
Given:- [tex]g(x)=2x-1[/tex] and [tex]h(x)=\sqrt{x}[/tex]
First we need to find out the composition of (gof)(x)
Replace x in function g(x) with h(x) as;
[tex](goh)(x)=2(h(x))-1[/tex]
[tex](goh)(x)=2(\sqrt{x})-1[/tex]
Now put x=9 , in above to get the [tex](goh)(9)[/tex]
[tex](goh)(9)=2(\sqrt{9})-1[/tex]
[tex](goh)(9)=2(3)-1[/tex]
[tex](goh)(9)=6-1[/tex]
[tex](goh)(9)=5[/tex]
Therefore, [tex](goh)(9)=5[/tex]
what is the answer to
3(4x+6)+7x
The simplified value of the given expression 3(4x+6)+7x, is 19x+18
What is an expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Mathematical expressions have only numbers and operators, while algebraic expressions have both numbers and variables in terms, separated by operators in between.
For example, 4m + 5 is an expression where 4m and 5 are the terms and m is the variable of the given expression separated by the arithmetic sign +.
Given that, is an expression 3(4x+6)+7x, we need to simplify it,
3(4x+6)+7x
By the Distributive property, multiplying by 3,
3(4x+6)+7x
= 12x+18+7x
Rearranging the terms,
= 12x+7x+18
Adding the like terms,
= 19x+18
Hence, the simplified value of the given expression 3(4x+6)+7x, is 19x+18
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Estimate each product 33.6 x 82.1