Answer:
?
Step-by-step explanation:
You need to know how much how much he makes per hour.
Travis made a business trip of
195.5 miles. He averaged
53 mph for the first part of the trip and
58 mph for the second part. If the trip took
3.5 hours, how long did he travel at each rate?
Answer:
At 53 mph, he traveled for 1.5 hours
At 58 mph, he traveled for 2 hours
Step-by-step explanation:
Mathematically;
distance = speed * time
let the time for the first part of the trip be x hours and the second part be y hours
Total hours is 3.5
So therefore;
x + y = 3.5 ••••••••(i)
Now let’s work with the rate
53 mph for x hours = 53 * x = 53x miles
58 mph for y hours = 58 * y = 58y miles
Adding both;
53x + 58y = 195.5 miles ••••••••(ii)
We have two equations to solve simultaneously
From i, x = 3.5 - y
insert into ii
53(3.5-y) + 58y = 195.5
185.5 - 53y + 58y = 195.5
5y = 195.5-185.5
5y = 10
y = 10/5
y = 2 hours
x = 3.5 - y
x = 3.5 - 2
x = 1.5 hours
Ryan feeds his chicken 1/ 3 cups of grain per day. The grain container has 6 cups of grain left. For how many days can Ryan feed the chicken?
Answer:
18 days
Step-by-step explanation:
1 cups=3 days
2 cups=6 days
3 cups=9 days
4 cups=12 days
5 cups=15 days
6 cups=18 days
solve the system by elimination. need work to be shown
Answer:
x=1, y=1, z=0
Step-by-step explanation:
System of Equations
We are required to solve the system of equations by elimination:
[tex]\left\{\begin{matrix}-2x+2y+3z=0\qquad [1]\\-2x-y+z=-3 \qquad [2]\\2x+3y+3z=5 \qquad [3]\end{matrix}\right[/tex]
Adding [1] and [3], and subtracting [1] and [2]:
[tex]\left\{\begin{matrix}5y+6z=5\qquad [4]\\3y+2z=3\qquad [5] \end{matrix}\right.[/tex]
Multiplying [5] by -3 and adding to [4]:
[tex]-4y=-4[/tex]
Solving:
[tex]y = -4 / (-4) = 1[/tex]
[tex]y=1[/tex]
Substituting into [5]:
[tex]5(1)+6z=5[/tex]
Simplifying:
[tex]6z = 0[/tex]
z=0
Substituting into [3]
[tex]2x+3(1)+3(0)=5[/tex]
Operating:
[tex]2x+3=5[/tex]
[tex]2x = 2[/tex]
[tex]x = 2/2=1[/tex]
x=1
The solution is
x=1, y=1, z=0
There are 43 children at a school. They want to make teams with 6 children on each team for kickball. Two of the children go home. How many complete teams can they make? Explain.
Answer:
6 teams
Step-by-step explanation:
They can only make 5 teams with 8 kids on each. 1 child will remain
4x^2 - 9y^6
what patterns can be used ?
please and thank you !!!
Answer:
B. (U+V)(U-V)
Step-by-step explanation:
Factoring
The given expression is:
[tex]4x^2-9y^6[/tex]
It should be noted that both terms are perfect squares:
[tex](2x)^2=4x^2[/tex]
[tex](3y^3)^2=9y^6[/tex]
Since it's a difference of squares, we need to use the following pattern to factor the required expression:
[tex](U^2-V^2)=(U+V)(U-V)[/tex]
Thus, the answer is
B. (U+V)(U-V)
Find the cardinal number of the given set.
A = {{3, 5, 7, ... 25}}
Answer:
12Step-by-step explanation:
The cardinal number of a set is the number of element in the set. Given the set A = {{3, 5, 7, ... 25}}, you can see that the elements of the set are odd numbers from 3 to 25. Writing out the full set;
A = {{3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25}}
Counting the total number of element in the set, you will see that there are only 12 elements in the set. Hence the cardinal number of the set is 12 i.e n(A) = 12
Shelley has a 1 1/2 pound supply of Cat Treats. Each day she gives her kitten 1/8 pound of the treats. How many days will the supply of treats last
Answer:
The treats will last 12 days.
Kaelyn is reading a book. The books thickness is 25 millimeters. How many of these books would fit on a shelf that is 1 meter long?
The number of books that can be fit on a shelf is 1 meter long and will be 40.
What is Algebra?Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.
Kaelyn is reading a book.
The book's thickness is 25 millimeters.
Then the number of the books that can be fit on a shelf is 1 meter long will be
Let x be the number of the books.
The thickness of the book in meters will be 0.025 m.
Then we have
0.025x = 1
x = 1 / 0.025
x = 40
More about the Algebra link is given below.
https://brainly.com/question/953809
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Graph f(x)=8+2x. Then find the value of f(x) when x=1/2
Answer:
9
Step-by-step explanation:
f(1/2)=8+2(1/2)
f(1/2)=8+1
f(1/2)=9
Answer:
f ( 1/2 ) = 9
Step-by-step explanation:
Step 1:
f ( x ) = 8 + 2x Function
Step 2:
x = 1/2 Given
Step 3:
f ( 1/2 ) = 8 + 2 ( 1/2 ) Input x value
Step 4:
f ( 1/2 ) = 8 + 1 Multiply
Answer:
f ( 1/2 ) = 9
Hope This Helps :)
A scientist is studying the effects of cell phone use on headache rate. She identifies 30 people who use cell phones and 30 who do not. Each of the 60 people is given a questionnaire designed to determine headache frequency. None of the 60 people who participated in the study knew they were part of a study. Which statement is true?
Answer:
C this is a double blind study.
Step-by-step explanation:
Both groups in the experiment are blind (don't know they are in an experiment). If this answer is incorrect then its A.
Answer:
observational study
Step-by-step explanation:
the experimenters are not blind to their own tests.
can someone please help me please I will give brainliest and please dont google
give an example of an instance when correlation and significance are extremely important when comparing two sets of data
Answer:
Step-by-step explanation:
Correlation occurs when we can observe a trend between the response/dependent variable (y) and the explanatory/independent variable (x).
When comparing two sets of data, we may observe and use correlation to determine whether or not the data presented if significant or not and whether or not it supports our hypothesis. We may want to see if this is just a fluke and whether or not the trend causes causation.
An example of this would be if we thought that the weight of female mice determines how many kids they have in a month.. Let's say that mice that weigh up to one ounce have 6 baby mice per month.
Let's say that the x variable is the weight which is between 0.25 oz and 1.25 oz and the y-variable is the amount of kids between each month. If another laboratory conducts the same study with the same type of mice with the same weights as us, we would need to determine if there is correlation and if there is causation and try to use this information to determine if both sets of data are significant to our hypothesis.
Answer:
If there is a strong correlation between two variables, it's easy to jump to the conclusion that one causes y and causes X; or that a third factor, Z (or even a whole set of other factors)
Step-by-step explanation:
im confused but i tried
Solve.
Question in a triangle, the measure of the first angle is four times the measure of the second
angle. The measure of the third angle is 78° more than the second angle. What is the
measure of the first angle?
17°
95°
68°
43°
< Previous
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No new data to save last checked at 10:16 nm
Answer:
The first angle is 68.
Step-by-step explanation:
[tex]x_{1}+x_{2}+x_{3}=180\\x_{1} = 4*x_{2}\\x_{3}=x_{2}+ 78\\4*x_{2} + x_{2} + x_{2}+ 78 = 180\\6*x_{2}=102\\x_{2} = 17\\[/tex]
So [tex]x_{1}=68[/tex] and [tex]x_{3}=95[/tex]
The value of a ratio is __________.
the sum of the two quantities in the ratio
the quotient of the two quantities in the ratio
the difference of the two quantities in the ratio
the product of the two quantities in the ratio
Answer:
B.
Step-by-step explanation: The value of a ratio is the quotient of the two quantities in the ratio.
Answer:
B
the quotient of the two quantities in the ratio
Isaac surveyed the employees at a law firm. Each employee was asked to record their highest level of education completed. The results are shown in the table below. Highest Level of Education Completed Education Level Percentage High School 5% Community College 10% Four-Year College 60% Graduate School 25% Two-hundred sixty people completed the survey. How many of those people completed graduate school?
Answer: 65 people completed graduate school.
Step-by-step explanation:
25% of 260 is 65.
Answer:
is 65
Step-by-step explanation:
Got 26 wrong on test
how many miles are in 50 meters
Answer:
0.0310686
Step-by-step explanation:
ANSWER 0.0310686
Step-by-step explanation:
Eh- :P
50 points!
Divide the following polynomial
(a^2n - a^n - 6) (a^n + 8)
using long division explain every steps plz
Answer:
The answer is a^n+2n+8a^2n-a^2n-14a^n-48.
Step-by-step explanation:
1. Use the distributive property.
Multiply the second parenthesis by each term from the first parenthesis.2. Remove the parenthesis.
Distribute a^2 through the parentheses.Distribute -a^n through the parenthesis.Distribute -6 through the parenthesis.3. Collect like terms.
Hope this helps and if you could mark me as brainliest. Thanks!
The factored form of (a²ⁿ - aⁿ - 6) is divided by (aⁿ + 8) is
(a²ⁿ - aⁿ - 6) = (aⁿ + 7)(aⁿ + 8) - 62/(aⁿ + 8).
What is a factor of a polynomial?We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.
To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.
Given, (a²ⁿ - aⁿ - 6) is divided by (aⁿ + 8).
In case of long division in the quotient well multiply the first term of the divisor 'aⁿ' with such a number that it becomes equal to the first term of the dividend, Now aⁿ×aⁿ is a²ⁿ.
∴ (a²ⁿ - aⁿ - 6)/(aⁿ + 8) is,
(a²ⁿ - aⁿ - 6) = (aⁿ + 7)(aⁿ + 8) - 62/(aⁿ + 8).
learn more about long division here :
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A leaking pond loses 20 gallons of water in 35 hours. How many gallons of water will it lose in 47 hours?
are -2/3 and -8/22 equal
Answer:
Step-by-step explanation:
-2/3 and -8/22
No, they are not.
-2/3 = -0.6
-8/22= -4/11 or -0.36
Find the volume of the prism
Answer:
do you have an image for that?
Step-by-step explanation:
I need help and thanks in advance
Step-by-step explanation:
b²-4ac
(10)²-4(-4)(-8)
=100+16+32
=148
please help me i'm begging you
Answer:
5/6(3/2) = 15/12
5/4
1 and 1/4 hours
I took the quiz
Howard read 1/16 of a book each day until he finished both books how many days did I take howard to read both books
Answer:
32
Step-by-step explanation:
because 16+16 is 32
PLEASE HELP!!!!! PEOPLE ARE GETTING THEM WRONG FOR ME!!!
Answer:
18 lawns
Step-by-step explanation:
Lets take the number of lands that would be mow(ed) in 36 hours as x
Hence,
[tex]Thriugh\ the\ proportion\ method\ , we\ get\ \\\\3 : 6::x:36\\36*3=6x\\\frac{36*3}{6} =x\\\frac{108}{6}=x\\x=18[/tex]
Which one doesn't belong?Explain why
Answer:
6 or 33percent
Step-by-step explanation:
because he don't have a numerator
because he is not belong to the group the three is fraction and the first one is a percent
[tex]\huge\boxed{.6}[/tex]
Solution Steps:- Which doesn't belong -______________________________
- A rational number is a terminating or repeating decimal.
- An irrational number is when you can't write that number as a fraction.
Rational or Irrational: [tex]33[/tex]% = Rational number. ([tex]33[/tex]% = [tex]0.33[/tex], This is a terminating decimal.)[tex]\frac{1}{3}[/tex] = Rational number. ([tex]\frac{1}{3}[/tex] = [tex]0.3[/tex], This is a repeating decimal.)[tex]\frac{5}{3}[/tex] = Rational number. ([tex]\frac{5}{3}[/tex] = [tex]1.6[/tex], This is a repeating decimal.) [tex]\frac{}{.6}[/tex] = Irrational number. (You can't turn this into a true fraction, therefore it's irrational.)______________________________
Hope this helps!If you have anymore questions, or need help with anything else, feel free to ask!
Let f(x) = 4x – 2 and g(x) = x + 1. Find the following function value.
(f - g)(-3)
Answer:
(f - g)(3) = 6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = 4x - 2
g(x) = x + 1
Step 2: Find
Find (f - g)(x)
Substitute: (f - g)(x) = 4x - 2 - (x + 1)Distribute -1: (f - g)(x) = 4x - 2 - x - 1Combine like terms: (f - g)(x) = 3x - 3Find (f - g)(3)
Substitute: (f - g)(3) = 3(3) - 3Multiply: (f - g)(3) = 9 - 3Subtract: (f - g)(3) = 6Which dimensions cannot create a triangle?
three angles measuring 254, 650, and 90°
three angles measuring 50°, 30°, and 100°
three sides measuring 5 in., 12 in., and 13 in.
three sides measuring 4 ft, 8 ft, and 14 ft
What survival rate in the 10th year would make the average of loss over the 10 year period equal to 38.0%
Answer: 63%
Step-by-step explanation:
First step
Find the 10th year rate of loss that will make the average of loss over the 10 years to equal 38.0%.
Assume this rate is x;
[tex]\frac{(36.2 + 29.0 + 46.2 + 37.5 + 40.9 + 40.0 + 32.6 + 40.5 + 40.1 + x)}{10} = 38.0\\\\\frac{343 + x}{10} = 38\\\\x = 380 - 343\\\\x = 37[/tex]
x = 37%
Second step - Survival rate
The survival rate is calculated by;
= 1 - rate of loss
= 1 - 37%
= 63%
Lines j and k are parallel and cut by a transversal t. If m<1 = 4x – 20 and m<6 = 5x – 25, what is m<2?
Answer:
Step-by-step explanation:
m<2 = 5.
because if you subtract 5x from 4x and that equals -1x. then you add 20 to -25 that equals -5. then you divided -5 by the -1x and you get 5.
R
B
R
P-
a
0
Wb
Z
Z
4. a) In the adjoining figure, show that a = 90° -
2
AAX
YAB
A
Step-by-step explanation:
qbbab w qnajkwkqqnnqnwn
7. You have been hired by a company to write a report on Internet companies’ Wi-Fi ranges. They have requested that all values be reported in feet using scientific notation.
Bonnewell’s Internet Company boasts that its wireless access points have the greatest range. The company claims that you can access its signal up to 3500 feet from its device. A competing company, Johnson’s Wi-Fi, has devices that extend to up to 700 feet.
Rewrite the range of each company’s wireless access devices in feet using scientific notation.
You can determine how many times greater the range of one Internet company is than the other by writing their ranges as a ratio.
Write and find the value of the ratio that compares the range of Bailey’s wireless access devices to the range of Bonnewell’s wireless access devices. Write a complete sentence describing how many times greater Bonnewell’s Wi-Fi range is than Johnson’s Wi-Fi range.
really need this
Answer: what is the question asking?
Step-by-step explanation: