If a 16 pound bag of Kitty Kibbles is $20.80 and 8-pound bag of Feline Flavor is $11.20 then the true statement about the unit price is (D) Kitty Kibbles has a lower unit price of $1.30/pound .
the cost of the 16 pound bag of Kitty Kibbles is = $20.80 ;
So , the cost of 1 pound bag of Kitty Kibbles is = $20.80/16
= $1.3 ;
the cost of 8 pound bag of Feline Flavor is = $11.20 ;
So , cost of 1 pound bag of Feline Flavor is = 11.20/8 ;
= $1.4 ;
on comparing both the unit prices , we get that the per unit cost of Kitty Kibbles is lower and the price is $1.3 ;
Therefore , the true statement is (D) Kitty Kibbles has a lower unit price of $1.30/pound .
The given question is incomplete , the complete question is
A 16-pound bag of Kitty Kibbles is $20.80. An 8-pound bag of Feline Flavor is $11.20. Which statement about the unit prices is true ?
A. Feline Flavor has a lower unit price of $1.40/pound.
B. Feline Flavor has a lower unit price of $1.30/pound.
C. Kitty Kibbles has a lower unit price of $1.40/pound.
D. Kitty Kibbles has a lower unit price of $1.30/pound.
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What fraction names the equal parts of the whole pizza? Enter your answer in the boxes. Circle is divided into 4 equal parts. Line
If the pizza is divided in to four equal parts , then each equal part is named as "one fourth" .
The fraction is defined as a numerical value that is part of a whole. Fraction is evaluated by dividing a whole into number of parts.
For Example : 1/2 represents the half part of the whole .
The pizza is divided into four equal part ;
So , the total number of parts in the pizza is = 4 parts ,
one part of the pizza will be written in fraction form as : 1/4 ;
We can say that each pizza slice is 1/4 of whole pizza and 1/4 is read out as "one fourth".
The given question is incomplete , the complete question is
What fraction names the 4 equal parts of the whole pizza ?
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Pyrotechnicians can use polynomials to plan complex fireworks displays. A firework is launched from a platform 6 feet above the ground at a speed of 200 feet per second. The firework has a 5-second fuse. The height of the firework in feet is given by the polynomial -16t² + 200t + 6, where t is the time in seconds. How high will the firework be when it explodes?
the fireworks will be 612 feet high when it explodes.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Given, Pyrotechnicians can use polynomials to plan complex fireworks displays. A firework is launched from a platform 6 feet above the ground at a speed of 200 feet per second.
Expression that represents the height of firework = -16t² + 200t + 6
Since The firework has a 5-second fuse.
Thus, the firework will explode at t = 5
So, height at t= 5:
height of firework = -16 * 5² + 200*5 +6
height of firework = -16 * 25 + 1000 +6
height of firework = - 400 + 1000 + 6
Height of firework = 606
Since it started at 6 feet height
Thus total height at firework starts = 606 +6
total height at firework starts = 612
Therefore, the firework will explode at 612 feet in height.
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Mr. Rankin took his family out to dinner last night and their subtotal was $88.24. The sales tax was 5% and he left a 20% tip after the tax was added.
If Mr. Rankin put $120 on the table, how much change did he receive?
If Mr. Rankin put $120 on the table, the change he would receive $8.82
What is Percentage ?
Percentage can be defined as the product ratio of given value, total value and hundred.
Mr. Rankin took his family out to dinner last night and their subtotal was $88.24. The sales tax was 5% and he left a 20% tip after the tax was added.
If Mr. Rankin put $120 on the table, the change he would receive
tax = 5/100 * 88.24
tax = 4.412
tip = 20/100 * 88.24
tip = 17.648
Total amount = 88.24 +4.412+17.648
= 111.18
So, If Mr. Rankin put $120 on the table, the change he would receive
= 120 -111.18 = 8.82
Therefore, If Mr. Rankin put $120 on the table, the change he would receive $8.82
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A fast ferry takes 4 hours to cross a lake an average speed of
108 km/h. On a particular day, it traveled at an average speed
of 94 km/h for 4 hours. What was the remaining distance?
____km
Answer:
The remaining distance will be "56 km".
Step-by-step explanation:
Speed and Time:
The speed (s) of an object seems to be the rate at which it travels from one location to some other. It's also calculated by dividing the distance (d) traveled by the timeframe (t) or duration.
According to the question,
Average speed when cross a late, 108 km/h
On particular day, average speed 94 km/h
Time taken, 4 hours
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^^^^^^
not my work
where I found the answer
What is the equation of the line that passes through the point (-3,4) and has a slope of 2/3?
Answer:
y = 2/3x + 6
Step-by-step explanation:
for this problem, we need to find the value of b (the y-intercept). to do so, all we have to do is plug in the x and y values of the given ordered pair into the x and y values of the function. this will give us:
[tex]4=\frac{2}{3}(-3)+b[/tex]
solve for b and we get 6.
so, our slope-intercept equation is [tex]y=\frac{2}{3}x +6[/tex] .
hope this helped, good luck!
A culture of bacteria has an initial population of 8600 bacteria and doubles every 5
hours. Using the formula P = Po 24, where P, is the population after t hours, Po
is the initial population, t is the time in hours and d is the doubling time, what is the
population of bacteria in the culture after 7 hours, to the nearest whole number?
Answer: The formula for population growth of bacteria with a constant doubling time is P = Po*2^(t/d), where P is the population after t hours, Po is the initial population, t is the time in hours, and d is the doubling time.
Given the initial population of 8600 bacteria and a doubling time of 5 hours, we can substitute these values into the formula:
P = 8600 * 2^(7/5)
To find the population after 7 hours, to the nearest whole number, we can use a calculator to calculate 2^(7/5) which is approximately 3.7 and then multiply it with the initial population.
P = 8600*3.7
P = 31420
So, the population of bacteria in the culture after 7 hours will be around 31420.
Step-by-step explanation:
Which equation is set up correctly using the Pythagorean Theorem for the triangle below?
9 cm and 14 cm x
A.9² +15²=x²
B.9+z=15
C.15+9=x
D.9²2 +2²=15²
Answer:
A.9^2+15^2=x^2
Step-by-step explanation:
Pythagorean Theorem
a^2+b^2=c^2
write an algebraic expression for each verbal expression, then simplify indicating the properties used:
1. the product of 9 and t squared, increased by the sum of 2 and the square of t
2. 3 times the quantity of d squared plus r, minus 2 times the quantity of d squared plus r
An algebraic expression for each verbal expression, and simplified indication of the properties are
1. 10t² + 2
2. d² + 2r
What is meant by algebraic expression?Arithmetic operations including subtraction, addition, division, multiplication, and exponentiation are used to build any algebraic expression from a combination of variables and integers. The word can be either a variable, a number, or the result of multiplying a variable by a number and adding an exponent.
Mathematical formulas like 3x + 4 are examples of algebraic expressions. They are distinct from algebraic equations because they lack the equals sign (=). The mathematics curriculum and mathematics in general place a lot of emphasis on algebraic expressions.
1. 9t² + 2 + t²
= 10t² + 2
2. 3d² + r - 2d² + r
= 3d²- 2d² + r + r
= d² + 2r
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What percent of the men surveyed shop online? Round your answer to the nearest whole number percent.
Adya makes 9/38 liters of soup for a party. The guests eat 3/57 liters. Use estimation to complete the statements below about Adya's soup.
the remaining soup at Adya's place is 24/114 liters As per the given ratio.
What is the ratio?The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.
Given, Adya makes 9/38 liters of soup for a party. The guests eat 3/57 liters.
Since the total soup was 9/38 liters
Thus,
Remaining soup at Adya = 9/38 -3/57
LCM of 38 and 57 are 114
Remaining soup at Adya = 27/114 - 6/114
Remaining soup at Adya = 27/114 liters
Therefore, the remaining soup at Adya's place is 24/114 liters.
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number of ice cream bars needed to sell 100 each weekend for a year
I year of weekends= 105days therefore 105, therefore you need 105 ice cream bars? hoped this helped
Use the screen shot- that has the question on it :)
Answer:
C
Step-by-step explanation:
This looks like a case of multiplying the number of X's by the respective number below it.
For example: the 1/2 has 3 X's, so we multiple (1/2)(3), making it (3/2) or 1.5
Next is the 1 having 2 X's, so (2)(1) is 2
Continuing that trend we get the following
1.5, 4, 2.5, and 3.
So all of our totals are 1.5, 2, 1.5, 4, 2.5, and 3.
Our last step will be adding all these answers together.
1.5 + 2 = 3.5
+ 1.5 = 6
+ 4 = 10
+ 2.5 = 12.5
and finally +3 = a grand total of 15.5 or 15 1/2
A party rental company has chairs and tables for rent. The total cost to rent 3 chairs and 2 tables is $25. The total cost to rent 5 chairs and 6 tables is $65. What is the cost to rent each chair and each table?
The cost to rent each chair and table, based on the total cost to the party rental company, is:
Cost to rent chair = $ 2.50Cost to rent table = $ 8.75How to find the cost to rent the chairs and tables ?Let x be the cost of renting one chair and y be the cost of renting one table.
From the first piece of information given, we can write the equation:
3x + 2y = 25
From the second piece of information given, we can write the equation:
5x + 6y = 65
Solving these equations using elimination gives:
3x + 2y = 25
5x + 6y = 65
15x + 10y = 125
15x + 18y = 195
Subtracting gives:
0x + 8y = 70
y = $ 8.75
The cost to rent a chair is:
3x + 2 (8.75) = 25
3x + 17.5 = 25
3x = 7.5
x = $ 2.5
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Let p and q represent the following statements.
p: Brad Pitt is governor.
9 There are not 51 states in the U. S.
Express the following statement symbolically.
There are 51 states in the U. S.
The statement written symbolically is
AS per the concept of reasoning, the statement written symbolically is ~Q
The term reasoning in math is defined as a drawing logical conclusions based on evidence or stated assumptions
While we looking into the statement P and Q, then we can get it as
p: Brad Pitt is governor.
q: There are not 51 states in the U. S.
Here we have to know that the we have to write the following in the symbolic form, that is written as,
=> There are 51 states in the U. S.
While we looking into the statement, we have identified that the statement is write as the inverse form of the previously given one.
So, the symbolic form is ~Q.
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a track star runs two races on a certain day. the probability that she wins the first race is 0.7, the probability that she wins the second race is 0.6, and the probability that she wins both races is 0.5. what is the probability that: note: define your events, and write the probability statement before you calculate an answer. you can show your work using equations or venn diagrams.
The probability that the track star wins at least one race is 0.8, the probability that she wins the first race but not the second is 0.2, and the probability that she wins the second race but not the first is 0.1
Let A be the event that the track star wins the first race, B be the event that the track star wins the second race.
The probability that the track star wins at least one race is: P(A U B) = P(A) + P(B) - P(A ∩ B)
The probability that the track star wins the first race but not the second race: P(A ∩ B') = P(A) - P(A ∩ B)
The probability that the track star wins the second race but not the first race: P(A' ∩ B) = P(B) - P(A ∩ B)
Given:
P(A) = 0.7
P(B) = 0.6
P(A ∩ B) = 0.5
P(A U B) = 0.7 + 0.6 - 0.5 = 0.8
P(A ∩ B') = 0.7 - 0.5 = 0.2
P(A' ∩ B) = 0.6 - 0.5 = 0.1
So the probability that the track star wins at least one race is 0.8, the probability that she wins the first race but not the second is 0.2, and the probability that she wins the second race but not the first is 0.1.
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k divided by 0.1 = 36 what is k
[tex]\dfrac{k}{0.1} =36[/tex]
Multiply both sides by 0.1:
[tex](\dfrac{k}{0.1} )\times0.1=(36)\times0.1[/tex]
[tex]\fbox{k = 3.6}[/tex]
are 1/2x + 3/4 - 5/8x - 7/8 and 1/8(x + 1) equivalent expressions? show your work help plss
Answer: No they are not.
Step-by-step explanation:
1/2x and -5/8x are like terms, if subtracted you get 1 1/8x. But then you are left with an unlike term, 3/4 so your first equation would equal out to 1 1/8x + 3/4
Now for equation 2, you use your distributive property and get 1/8(x)=1/8x
Then you must distribute 1/8(1)=1/8
1/8x + 1/8
So, 1 1/8x + 3/4 ≠ 1/8x + 1/8
8(r+1) Distributive property
Answer:(8 x r)+(8 x 1)
Step-by-step explanation:
[tex]8(r+1)[/tex]
Distribute:
[tex](8)(r)+(8)(1)[/tex]
[tex]\fbox{8r + 8}[/tex]
One angle of an isosceles triangle measures 120°. What measures are possible for the other two angles? Choose all that apply.
10°
30°
80°
50°
Answer:
b) 30°
Additional information:-
One angle (x) = 30° Both angles (2x) = 60°Step-by-step explanation:
We know that,
→ The other two angles of the isosceles triangles are equal.
Formula we use,
→ <A + <B + <C = 180°
Forming the equation,
→ 120° + x + x = 180°
Now the value of x will be,
→ 120° + x + x = 180°
→ 120° + 2x = 180°
→ 2x = 180° - 120°
→ 2x = 60°
→ x = 60°/2
→ [ x = 30° ]
Hence, option (b) is correct.
For parties of six or more, a restaurant adds a 20% gratuity (or tip). If a
dinner bill for a large party comes to $148.25, find the total dinner bill with
tip. $177.90
The total dinner bill was $177.90 including a tip of 20%.
What is percentage?A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%"
Given that, a restaurant adds a 20% gratuity (or tip), a dinner bill for a large party comes to $148.25, we need to find the total dinner bill with tip.
The total bill will be = 148.25 + 20% of 148.25
= 148.25 + 20/100 × 148.25
= 148.25 + 0.2 × 148.25
= 148.25 + 29.65
= 177.90
Hence, the total dinner bill was $177.90 including a tip of 20%.
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I dont understand what the question is, i need help
equations of the line in slope intercept form:
y = -2x - 3y =-1/2xWhat is Linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
Given two linear function,
For first equation:
2x +y = -3
in slope intercept form
y = -2x - 3
For second equation:
Given second line passes through the origin
thus, equation of the line.
y = mx
where m is slope
m = (y₂ - y₁)/(x₂ - x₁)
in our case,
m = (0 -2)/(0-(-4))
m = -1/2
Thus, equation of second line;
y =-1/2x
Therefore, equations of the line in slope intercept form:
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At the movies, John was sent to the lobby to buy refreshments for his friends. Some wanted popcorn which sold for 50 cents a bag and others wanted caramel corn which was 75 cents a bag. If John bought 9 bags and spent $5.00, how many of each kind of bag did he buy?
If John bought 9 bags and spent $5.00, using simultaneous equations, the number of each kind of bag he bought is 7 bags of popcorn and 2 bags of caramel corn.
What are simultaneous equations?Simultaneous equations are two or more equations solved simultaneously or concurrently.
When two or more equations are solved at the same time, they are described as simultaneous equations or a system of equations.
The cost of popcorn per bag = $0.50
The cost of caramel corn per bag = $0.75
The total number of bags bought = 9
The total cost of the 9 bags = $5
Let the number of bags of popcorn = p and the number of caramel corn = c
Equations:0.5p + 0.75c = 5 ... Equation 1
p + c = 9 ... Equation 2
Multiply Equation 2 by 0.5:
0.5p + 0.5c = 4.5 ... Equation 3
Subtract Equation 3 from Equation 1:
0.5p + 0.75c = 5
-
0.5p + 0.5c = 4.5
0.25c = 0.5
c = 2
p = 9 - 2
= 7
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how many times does 6 go into 3594?
Answer: 599 times
Step-by-step explanation: 3594/6=599
Pablo draws rectangle p he says that the area is greater than 50 square units what could the missing side length be
Any pair of positive numbers x and y that satisfy the inequality x * y > 50 will be the sides of rectangle.
If the area of rectangle P is greater than 50 square units, then the product of its length and width must be greater than 50. Let the length of the rectangle be x and the width be y. Then, we have:
x * y > 50
Since the missing side length is unknown, we cannot solve for a specific value. But we can say that any pair of positive numbers x and y that satisfy the inequality will represent a rectangle with an area greater than 50 square units.
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If you help you get a cookie :)
What operation is happening between this coefficient and variable?
4y
Responses
A DivisionDivision
B AdditionAddition
C MultiplicationMultiplication
D Subtraction
Answer: the answer is A SO WERE IS MY COOKIE :(
Step-by-step explanation:
Translate each verbal description into an algebraic expression. Simplify the expression when you can. 120% of 5x
120% can be expressed as a decimal by dividing it by 100: 120 / 100 = 1.2 So, 120% of 5x can be expressed as: 1.2 * 5x = 6x The expression simplifies to 6x.
What is algebraic expression?Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient. An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.).These expressions are represented with the help of unknown variables, constants and coefficients. The combination of these three (as terms) is said to be an expression.
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one eighth of al's coins are quarters and the rest are nickels. if the total value of the coins is $3.60, how many of each type of coin does he have?
Number of quarters is 6 and number of nickels are 42.
One eighth of Al's coins are quarters, so if we let x be the total number of coins, then x/8 is the number of quarters Al has.
We know that:
Quarters are worth $0.25 and nickels are worth $0.05 and total value of the coins is $3.60
so, x/8 * $0.25 + (x-x/8) * $0.05 = $3.60
=> x/8 * 0.25 + 7x/8 * 0.05 = 3.60
multiplying both sides by 8 to cancel out 8, we get
=> x*0.25 + 7x * 0.05 = 28.8
=> x/4 + 7x/20 = 28.8
=> (5x + 7x)/20 = 28.8
=> 12x = 576
=> x= 48
x/8 = 6 and (x-x/8) = 42
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Consider the two equations below. Explain completely the similarities and differences in how you would solve each equation. Be clear and complete.
The first equation, 3^x = 12, is an exponential equation. To solve for x, we would take the logarithm of both sides with base 3:
x = log3(12)
The second equation, x^3 = 12, is a polynomial equation of degree 3. To solve for x, we would take the cube root of both sides:
x = ∛12
How does the equation compare?The similarity between these two equations is that both are equations with one variable and are looking for the value of that variable.
The main difference between these two equations is the type of function they represent. The first equation is an exponential function, represented by 3^x, while the second equation is a polynomial function, represented by x^3.
As a result, the methods used to solve these equations are also different. The first equation is solved by taking the logarithm of both sides and the second equation is solved by taking the cube root of both sides.
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The most Ellsworth can afford to pay per year in mortgage payments is
$14,000, and his credit score is currently 498. According to the following table
for a $150,000 mortgage, by how many points would he need to improve his
credit score in order to take a mortgage for $150,000?
FICO
Interest
Score
Rate
720-850
700-719
675-699
620-674
560-619
500-559
5.59%
5.71%
6.25%
7.40%
8.53%
9.29%
A. 2 points
OB. 177 points
O C. 122 points
OD. 62 points
Monthly
Payment
$860
$872
$924
$1039
$1157
$1238
62 points, he would need to improve his credit score in order to take a mortgage for $150,000.
What is a mortgage?
It is an agreement between you and a lender that allows you to borrow money to purchase or refinance a home and gives the lender the right to take your property if you fail to repay the money you've borrowed. A mortgage is a type of loan that's used to finance the property. A mortgage is a type of loan, but not all loans are mortgages. Mortgages are “secured” loans.
To calculate the monthly payment, we can use the formula:
M = P [i(1 + i)^n] / [(1 + i)^n – 1]
Where M is the monthly payment, P is the loan amount, i is the interest rate, and n is the number of payments (in this case, the number of months in 30 years)
Plugging in the values,
M = 150000 * (0.0929 / 12) / [ (1 + (0.0929 / 12))^(12 * 30) - 1]
This gives a monthly payment of $1238.
To find out how many points he needs to improve his credit score, we can compare this monthly payment to the maximum monthly payment he can afford, which is $14,000.
If $1238 is more than $14,000, he would need to improve his credit score to a point where the monthly payment would be less than $14,000. By looking at the table, we can see that the interest rate for credit score of 620-674 is 7.40%.
Hence, (D) option is the correct answer.
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An angle is two collinear rays with a common endpoint. Find an example that contradicts this definition. How would you change the definition to make it more accurate? (5 points)
Part B: Give an example of an undefined term and how it pertains to angles
As per the collinear point, the common endpoint is called the vertex of the angle, and the rays are called the sides of the angle.
The term collinear point in math is defined as a set of three or more points that exist on the same straight line
Here we have given that an angle is two collinear rays with a common endpoint.
And we need to find an example that contradicts this definition.
Here we also know that an angle is the union of two noncollinear rays with a common endpoint.
Then the common endpoint is called the vertex of the angle and the rays are called the sides of the angle.
And it is measure of an angle is a number representing the spread of the two arms of the angle.
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