Answer:
21
Step-by-step explanation:
Let x = $1 bill
Let y = $5bill
Translating the word problem into an algebraic equation;
For the total number of bills;
[tex] x + y = 47[/tex] .........equation 1
For the total number of tips;
[tex] x + 5y = 131[/tex] ..........equation 2
*Solving the linear equation by using the substitution method*
Making x the subject in equation 1:
[tex] x = 47 - y[/tex] .......equation 3
Substituting "x" into equation 2;
[tex] (47 - y) + 5y = 131 [/tex]
Simplifying the equation, we have;
[tex] 47 + 4y = 131 [/tex]
[tex] 4y = 131 - 47 [/tex]
[tex] 4y = 84 [/tex]
[tex] y = \frac {84}{4} [/tex]
y = 21 (For the $5 bills).
Therefore, Anthony received 21 pieces of the $5 bills.
To find x;
Substituting "y" into equation 3;
[tex] x = 47 - 21[/tex]
x = 26 (For the $1 bill).
What is the excluded value of x-6/ x+4
Answer:
-4
Step-by-step explanation:
x+4=0
x=-4
Answer:
x = - 4
Step-by-step explanation:
Given
[tex]\frac{x-6}{x+4}[/tex]
The denominator of the rational expression cannot be zero as this would make it undefined.
Equating the denominator to zero and solving gives the value that x cannot be, that is
x + 4 = 0 ⇒ x = - 4 ← excluded value
simplify 0.00021 * 0.000028 and Express your answer in standard form(scientific notation)
Answer:
=58.8*10⁻⁴
Step-by-step explanation:
0.00021 * 0.000028 = 210*10⁻⁶ * 28*10⁻⁶
= (210*28)10⁻⁶
= 5880*10⁻⁶
= 58.8 * 10⁻⁴
Answer: 2.1×10⁻4 and 2.8×10⁻5
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10
. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive. 2.1×10⁻4
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10
. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive. 2.8×10⁻5
What would the rate of change be for this?
Answer:guess
Step-by-step explanation:?
write a conditional statement from each given statement.
Congruent segments have equal measures.
Answer:
Our conditional statement should be written as:
'If they are congruent segments, then they have equal measures'.
Step-by-step explanation:
When we talk about conditional statements, it means we are about the statements which should contain 'if' and 'then'.
We need to recognize the hypothesis - conditions - and the conclusion - result - in the sentence. Then we should mention it as an 'if', and 'then' statement.In our example, our hypothesis must be 'if they are congruent segments' and the conclusion should be 'then they have equal measures'.
Therefore, we conclude that our conditional statement should be written as:
'If they are congruent segments, then they have equal measures'.
+ 19=20+24
A 11
B 13
C 15
D 25
Answer:
its D 25
i just know stuff
Which algebraic expression means "four less than three times a number"?
O 4-12
O 3n-4
O 4-3
O n-4
Answer: is 4-3
Step-by-step explanation:
4-3
PLEASE HELP!!!!! 2.) What is the perimeter of a polygon with vertices at (-3, 1), (5, 1), (-3, 4), (5, 4)? 30 points if you can help
Answer:
22 units
Step-by-step explanation:
Known Quantities:
AB = CD and AC = BDCalculations:
AB = 8AC = 3CD = 8BD = 3Final Calculations:
perimeter = 2 x (3+8)perimeter = 22Item 20
Write the word sentence as an equation. Then solve.
The difference between a number p and 6 is −14.
Equation:
Solution: p=
Answer:
p-6=-14
Step-by-step explanation:
since it is said that it is the difference between them
The members of the Smithtown baseball team sell $5 raffle tickets and $20 raffle
tickets for a fundraiser. Emilio sells a total of 50 tickets and has collected $400.
The graph of the system of equations that represents this scenario is shown below.
Which of the following is the best interpretation of the solution to the system of
equations in context of the scenario?
A Emilio has sold 20 of the $20 raffle tickets and 50 of the $5 raffle tickets.
B Emilio has sold 50 of the $20 raffle tickets and 20 of the $5 raffle tickets.
C Emilio has sold 10 of the $5 raffle tickets and 40 of the $20 raffle tickets.
D Emilio has sold 40 of the $5 raffle tickets and 10 of the $20 raffle tickets.
Answer: d
Step-by-step explanation:
If a train can travel 744 miles and 3 hours what is the unit rate that this train is traveling per hour
Answer:
248 mph (miles per hour)
Step-by-step explanation:
744 miles (in 3 hours) ÷ 3 hours = 248 mph (miles per hour)
Check if answer is correct:
248 mph × 3 hours = 744 miles in 3 hours
Final answer:
248 mph
Hopefully this helps! Sorry if wrong. You are loved and you are beautiful/handsome!
-Bee
2 bags of cat food cost $8.50, how much would 5 bags of cat food cost ?
Answer:
$42.05
Step-by-step explanation:
First do $8.50/2=4.25
This means that one bag of cat food is $4.25
Now you multiply 5*4.25=$21.25,
I hope this helps and is correct!
Is there a proportional relationship between time and the cost of the cell phone plan?
Answer:
no
Step-by-step explanation:
write an inequality to represent: ten is no more then four then a number
Answer:
10 ≤ x - 4
Step-by-step explanation:
Answer:
10 < x-4
Step-by-step explanation:
The ratios of the measure of two supplementary angles is 5:7. What is the
measure of the larger angle?
Answer:
105 degrees
Step-by-step explanation:
You first add 5 and 7 which gives you 12. Then, since two supplementary angles add up to 180, you divide 180 by 12 which gives you 15. Next, since 7 is the larger of the two, multiply 7 by 15 giving you 105. To check your work, subtract 105 from 180 giving you 75. Next, put this as a fraction- 75/105 and simplify giving you 5/7 which can also be written as 5:7.
Which of the following properties is shown in the equation below? 3 × ( 6 × 2 ) = ( 3 × 6 ) × 2
distributive property
multiplicative identity property
associative property of multiplication
commutative property of multiplication
Answer:
Associative Property
Step-by-step explanation:
:)
In a survey of market, it is found that 143 persons use white toothpaste and 135 use red toothpaste. If 70 of them use both the toothpaste then find the number of persons who use at least one of the toothpaste
Answer:
let W and R represent white toothpaste and red toothpaste represently
n(W)=143
n(R)=135
n(WnR)=70
n( WuR)=?
Now,
n(WuR)=n(W)+n(R)_n(WnR)
=143+135_70
=208
that's all don't forget to write therefore.
There are 18 girls in Mr. Brimley's math class. If 60% of the
students are giris, how many students are in Mr. Brimley's
math class?
A=18
B=27
C=30
D=36
Answer:
30
Step-by-step explanation:
look it up online
The number 2200 is first increased by 30%. The value obtained is next decreased by 50%. Find the final number.
Consider the parent function f(x)=e^x and transformed function g(x)=-f(x)-4. Which features of function F function G are different
Y intercept
End behavior
Domain
Range
Horizontal asymptote
(More than one answer)
Answer:
y-intercept,
end behavior,
range,
and horizontal asymptote
Step-by-step explanation:
I just finished the PLATO test and these are the answers
The answers are y-intercept, end behaviour, range and horizontal asymptote.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a parent function:
f(x) = eˣ
The transformed function:
g(x) = -f(x) - 4 = -eˣ - 4
g(0) = -5
f(0) = 1
From the graph, we can say the y-intercept, end behaviour, range and horizontal asymptote are different from the parent function.
Thus, the answers are y-intercept, end behaviour, range and horizontal asymptote.
Learn more about the function here:
brainly.com/question/5245372
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Which angles are adjacent angles?
Please help me you’ll get brainlest!
4/5
Answer:A
Step-by-step explanation:
Answer:
3rd answer option
Step-by-step explanation:
√26 ≈ 5,1
√31 ≈ 5,6
Use the table to find the ratio. Enter the ratio as a fraction in simplest form.
Color of socks white black blue brown
Number of socks 5 8 4 6
The ratio of blue socks to nonblue socks is
Answer:
4/19
Step-by-step explanation:
Enter the first four terms.
Answer:
1/2, 2, 9/2, and 8.
Step-by-step explanation:
In this case, we have an explicit rule.
So, to find the nth term, we can simply substitute a value into our function and evaluate.
For the first term, n=1. Thus:
[tex]f(1)=\frac{(1)^2}{2}[/tex]
Evaluate:
[tex]f(1)=\frac{1}{2}[/tex]
Hence, our first term is 1/2.
For the second term, n=2. Thus:
[tex]f(2)=\frac{(2)^2}{2}[/tex]
Evaluate:
[tex]f(2)=\frac{4}{2}=2[/tex]
Hence, the second term is 2.
For the third term, n=3. Thus:
[tex]f(3)=\frac{3^2}{2}=\frac{9}{2}[/tex]
So, the third term is 9/2.
And for the fourth term, n=4. Thus:
[tex]f(4)=\frac{4^2}{2}=\frac{16}{2}=8[/tex]
Therefore, the fourth term is 8.
Hence, our first four terms are: 1/2, 2, 9/2, and 8.
pls give two answers for good measure
Answer:
2nd answer choice.
Step-by-step explanation:
The inequality is x-5 greater/equal to -2 which if you simplify gives you x>= 3 and since the second answer choice has a filled-in dot which means equal to and the arrow goes to the right which means greater than.
Step-by-step explanation: To solve for x in this inequality,
your goal is the same as it would be if you were solving an
equation, to get x by itself on one side.
Since 5 is being subtracted from x, add 5 to both sides of the inequality.
On the left, the -5and +5 cancel out and on the right, -2 + 5 is 3.
So we have x ≥ 3.
When graphing, start with a closed dot at +3 because x is
not just greater than +3, it's equal to it as well.
Then draw an arrow to the right, like I have done below.
Sarah is 5 years old and Clayton is x years older than Sarah.
In how many years will Clayton be three times older than Sarah is now?
Answer:
10-x
Step-by-step explanation:
hope it helped
In 10 years Clayton will be three times older than Sarah is now.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, Sarah is 5 years old and Clayton is x years older than Sarah.
∴ Clayton is (x + 5) years old.
So, In (x + 5) = 3×5 years Clayton will be three times older than Sarah is now.
∴ (x + 5) = 15.
x + 5 = 15.
x = 15 - 5.
x = 10.
learn more about numerical expressions here :
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please answer both questions i will fail if i don't get these
Answer:
its below
Step-by-step explanation:
a) (0,1) (-1,2) (1,2) (2,5) (-2,5)
b) (0, -1, 1, 2, -2)
c) (1,2,5,5)
#4 a) f(-5) = 39
b) f(1) = -9
The distance from Jason's house to school is 0.1 kilometer. What is this distance in meters?
Help pls
Answer:
100 meters
Step-by-step explanation:
0.1 x 1000 = 100 m
Assume a random sample of the birth weights of 186 healthy babies has a mean of 3103 g and a standard deviation of 696 g. Construct a 95% confidence interval estimate of the mean weight of all healthy babies born to healthy mothers. What does the interval suggest about a recent study informing soon-to-be-parents that they can expect their new baby to weigh about 2980 g?
3002 g < μ < 3204 g; the 2980 g weight is less than the range values of the interval; however, it is close to the interval and could therefore easily represent an expected mean weight of new babies.
3002 g < μ < 3204 g; the 2980 g weight falls below the interval, suggesting that it is unlikely to be an expected value and is likely too low to represent an accurate population mean.
2879 g < μ < 3080 g; the interval suggests 3103 g is not a likely mean, proving the sample is biased; the recent study should be used as a basis for estimating new birth weights.
2879 g < μ < 3080 g; the 2980 g weight falls comfortably in the interval, which suggests that 2980 g is very likely to represent an accurate population mean of birth weights.
Answer:
Its B
Step-by-step explanation:
My grandparents have four grandchildren. The product of the ages of the four grandchildren is 67 184. The youngest grandchild is younger than 10, and is also 30 years younger than the oldest grandchild.
Determine all possibilities for the ages of my grandparents’ grandchildren.
Answer:
The possible ages of the four grandchildren are a = 4, b = 19, c = 26, and d = 34
Step-by-step explanation:
The given parameters are;
The number of grandchildren in the family = 4
The product of the ages of the four grand children = 67184
The age of the youngest grandchild < 10
The age of the oldest grandchild = 30 + The age of the youngest grandchild
Let a represent the age of the youngest grandchild, and let b, and c represent the ages of the other two intermediate grandchild
Therefore, we have;
a < 10
The age of the oldest grandchild = a + 30 < 10 + 30
∴ The age of the oldest grandchild < 40
The product of the ages of the four grandchildren = a × b × c × (a + 30) = 67184
The factors of 67184 that are between 1 and 40 are;
1, 2, 4, 8, 13, 16, 17, 19, 26, 34, 38
Taking a = 8, we have;
The age of the oldest grandchild × The age of the youngest grandchild = a × (a + 30) = 8 × 38 = 342
Therefore. a × b = 67184/(a × (a + 30) = 196.44
Therefore, a ≠ 8
For a = 4, we have the age of the oldest grandchild = a + 30 = 4 + 30 = 34
The age of the oldest grandchild × The age of the youngest grandchild = a × (a + 30) = 4 × 34 = 136
Therefore. a × b = 67184/(a × (a + 30) = 494
We find that the other factors of 67184, which are 19 and 26 have a product of 494
Therefore, the possible ages of the four grandchildren are a = 4, b = 19, c = 26, and d = 34
To give, 4 × 19 × 26 × 34 = 67,184.
Experts estimate that when levees break in the aftermath of a hurricane, water can flow into a city at a peak rate of 8 billion gallons per
day. There are 7.5 gallons in 1 cubic foot.
Use this information to complete parts (a) and (b) below.
(A) find the flow rate in units of cubic feet per second, compare this flow rate to a river with an average flow rate of 30,000cfs.
— the flow rate is ___ cfs, which is approximately ___% if the flow rate of river.
(B) the water level rose approximately ___ ft.
Full question:
Experts estimate that when levees break in the aftermath of a hurricane, water can flow into a city at a peak rate of 8 billion gallons per day. There are 7.5 gallons in 1 cubic foot. Use this information to complete parts (a) and (b) below. Click the loon to view the USCS measurements a. Find the flow rate in units of cubic feet per second (cs). Compare this flow rate to a river with an average flow rate of 30,000 cfs. The flow rate is cfs, which is approximately % of the flow rate of the river (Round to the nearest whole number as needed.) b. Assume that the flooded part of the city had an area of 8 square miles Estimate how much in foot) the water level rose in one day at the given flow rate. The water level rose approximately (Round to the nearest tenth as needed.)
Answer and explanation:
Peak rate= 8 billion gallons per day
7.5 gallons = 1 cubic feet
Given that
8 billion gallons= 24 hrs
And 24 hrs = 86400 seconds
8 billion gallons =86400 seconds
In one second =8000,000,000/86400
= 92,592.593 gallons
Units of cubic feet per second =92592.593/7.5= 12345.68 cubic feets
Therefore the flow rate in cubic feet per second = 12345.68 cubic feets
If we compare this to 30000 cubic feet per second flow rate of the river, it would be 12345.68/30000*100/1= 41.152% of the flow rate of the river
B) Given that the total cubic feet per day =86400*12345.68= 1066666752 cubic feet
And 1 mile = 5280 feet
1 square mile = 27878400 square feet
8 square miles = 8 × 27878400 = 223027200 square feet
To calculate the height,
The number of foot by which the water level rose in one day is
1066666752/223027200 = 4.7826 feet per day