Divide cost by ounces. The lowest cost per ounce is the better buy.
2.88/8 = 0.36
4.56/12 = 0.38
9.10/26 = 0.35
The 26 ounce package is the better buy.
Answer:
The 26-ounce package is the best buy
Reasoning:
In order to figure out the best buy, you have to see the price-per-ounce in each option and figure out the one that costs the least. The way to do this is by dividing the decimal in the pricing by the number of ounces in the package. For example, 2.88/8 = 0.36
This tells us that the price-per-ounce in the 8-ounce package is 0.36
Repeat this process for each of the other two packages to find that
4.56/12 = 0.38 and 9.10/26 = 0.35
with this information, we can conclusively say that the 26-ounce package is the best buy, as it has the lowest price-per-ounce of all three of the packages.
Write the expression as an algebraic expression of x that does not involve trigonometric functions:
[tex] csc({cos}^{ - 1} x)[/tex]
Answer:
[tex]\displaystyle \csc(\cos^{-1}(x))=\frac{1}{\sqrt{1-x^2}}[/tex]
Step-by-step explanation:
Please refer to the attachment.
We have:
[tex]\csc(\cos^{-1}(x))[/tex]
First, we will let:
[tex]\cos^{-1}(x)=\theta[/tex]
Then:
[tex]x=\cos(\theta)[/tex]
So, the adjacent side of our triangle is x and the hypotenuse is 1.
Then by the Pythagorean Theorem, the opposite side is given by:
[tex]x^2+o^2=1^2[/tex]
So:
[tex]o=\sqrt{1-x^2}[/tex]
Going back, we have:
[tex]\csc(\cos^{-1}(x))[/tex]
Since arccos(x) is θ:
[tex]=\csc(\theta)[/tex]
Cosecant is the ratio of the hypotenuse over the opposite side. Therefore:
[tex]\displaystyle \csc(\theta)=\frac{1}{\sqrt{1-x^2}}[/tex]
Hence:
[tex]\displaystyle \csc(\cos^{-1}(x))=\frac{1}{\sqrt{1-x^2}}[/tex]
Genevieve drew a right triangle such that one of its acute angles is five times the measure of the other acute angle. Find the measure of the smallest angle of the triangle.
Answer:
15°Step-by-step explanation:
Let the smaller angle be xThen the other angle is 5xSum of acute angles equals to 90°
x + 5x = 90°6x = 90°x = 90°/6x = 15°The smallest angle is 15°
how many thirds are in 8/3
Answer:
8
Step-by-step explanation:
just take the numerator and thats how many
Write the simplest polynomial function for each set of zeros
Zeros = -2, 5, -1
Answer:
The polynomial is ;
x^3 -2x^2 -13x - 10
Step-by-step explanation:
Given the zeros, we set them to equal zero so as to get the linear factors
Mathematically, that will be as follows;
x = -2
x + 2
x = 5
x-5
x = -1
x + 1
So we have the polynomial as;
(x + 1)(x + 2)(x-5)
= (x -5)(x^2 + 3x + 2)
= x^3+ 3x^2 + 2x -5x^2 -15x - 10
= x^3 -2x^2 -13x - 10
please answer (NOT A MULTIPLE CHOICE ANSWER)
In ΔOPQ, \text{m}\angle O = (6x-14)^{\circ}m∠O=(6x−14) ∘ , \text{m}\angle P =(2x+16)^{\circ}m∠P=(2x+16) ∘ , and \text{m}\angle Q = (2x+8)^{\circ}m∠Q=(2x+8) ∘ . Find \text{m}\angle Q.m∠Q.
Answer:
you are incorrect it is actually 107 degrees
Step-by-step explanation:
Tell whether the relation is a function.
Answer:
No, it is not a function
Step-by-step explanation:
Here, we want to tell if the relation is a function
For the relation to be a function, each independent variable must be mapped to only a single dependent variable
So what this means is that one term of the independent side must be mapped to one term of the dependent side
From the question, we can see that -10 and -15 were both mapped to -10 which should not be so
This means that the relation is not a function
New grass seeds grow rapidly. A grass seed has grown to 12 millimeters tall. Tomorrow it will
be 23 millimeters tall, the next day it will be 34 millimeters tall, and on the next day it will be
45 millimeters tall. Write a rule to represent the height of the bean plant as an arithmetic
sequence. How tall will the plant be in 15 days?
A(n) = 16 + (n – 1)11; 194 millimeters
A(n) = 12 + (n – 1)11; 166 millimeters
A(n) = 13n; 195 millimeters
A(n) = 12n; 180 millimeters
Answer:
The correct answer is;
A(n) = 12 + (n-1)11; 166 millimeters
Step-by-step explanation:
Here, we want to write a rule representing the growth
From the question, we can see that the rate of growth is ;
34-23 = 23-12 = 11
This means it grows at a rate of 11 mm per day
So on the 15th day, its height will be;
We can have an arithmetic progression here, with 12 as the first term and 11 as the common difference
The nth term An can be represented as;
An = a + (n-1)d
where a = 12 mm , n = 15 and d = 11 mm
Thus, we have
An = 12 + (15-1)11
An = 12 + 154
An = 166 mm
There are 32 females cast in the school play. The ratio of male roles to female roles is 3:8. How many males are cast in the school play?
Answer:
12 males
Step-by-step explanation:
3:8= 8 is for male
32÷8= 4
4×3= 12 males
hope it helps!
The average time a human being can hold their breath underwater is 1 minute. A hippo can hold its breath underwater for at least 5 times as long as a human. Write an inequality that represents how long a hippo can hold its breath underwater.
Answer:
Average breath hold time by hippo under water ≥ 5 minutes
Step-by-step explanation:
Average time by human = 1 minute
Average time by hippo = ≥ 5 times human
Since average human breath hold time = 1 minute
Average breath hold time by hippo = 5 * 1 minute
Average breath hold time by hippo under water ≥ 5 minutes
On the coordinate plane below, quadrilateral 1 has been transformed to form quadrilateral 2 which if these could be the transformation choose all that are correct
Answer:
I think the answer is A reflection across the line y=1 and A reflection across the y-axis and then a translation 2 units to the right
Step-by-step explanation:
I’m not sure if this is the answer but I want to help out as much as possible
Answer:b
Step-by-step explanation:
A map has a scale of 4.5 inches=36 kilometers. If the distance between the two cities is 8.5 inches, what is the actual distance between the cities
9514 1404 393
Answer:
68 km
Step-by-step explanation:
Actual distance (d) will be proportional to the map distance.
d/8.5 = 36 km/4.5
d = (36 km)(8.5/4.5) = 68 km
The actual distance is 68 kilometers.
ACB=DCE
A=63, C=52, and E=5x
Help please!
Answer:
the anwer is idcause i didnt workmit ut jus like you
Step-by-step explanation:
Answer:13
Step-by-step explanation:
you add 52+63= 115
115-180=65
5x=115
X=13
A boulder, initially at rest, falls off the top of an overhanging cliff during a storm. The cliff is 96 feet high. How long will it take to hit the road below? Round your answers to the nearest thousandth.
Dropped: h(t)=-16t^2+s
Answer:
1.94 seconds
Step-by-step explanation:
Jason consumes 1500 calories and needs to
put on weight, so he plans on increasing his caloric intake by 150 calories a day. His sister, Lisa, needs to lose weight and decrease her present intake of 3500 calories by 100 calo ries a day. After how many days will they be consuming the same number of calories?
Answer:
100*150=15000 calories
Step-by-step explanation:
100 times 150 is 15000 because you are multipling 2 people
I don't know if it is correct
just check and if it isn't then check some one elses work.
Richard bought 3 pounds of bananas for $1.50. A banana weighs about 8 ounces and there are 16 ounces in a pound. At this rate, how many bananas can Richard buy for $5?
Answer:
Richard can buy 20 bananas for $5
Step-by-step explanation:
∵ Richard bought 3 pounds of bananas for $1.50
∵ 1 pound = 16 ounces
∴ 3 pounds = 3 × 16 = 48 ounces
→ That means Richard bought 48 ounces for $1.50
∴ The cost 48 ounces = $1.50
∵ A banana weighs about 8 ounces
→ Let us find 48 ounces equal to how many bananas
∵ 48 ÷ 8 = 6
∴ The 48 ounces are the weighs of 6 bananas
∴ The cost of 6 bananas = $1.50
→ To find how many bananas can he buy by $5, use the ratio method
→ Cost : Banana
→ 1.50 : 6
→ 5 : x
→ By using cross multiplication
∵ 1.50 × x = 5 × 6
∴ 1.50x = 30
→ Divide both sides by 1.50
∴ x = 20
∵ x is the number of bananas
∴ Richard can buy 20 bananas for $5
Ashley makes 6 gallons of broth for the restaurant, she serves 30 cups of broth to guests. how many cups of soup are left over?
Answer:
66 cups
Step-by-step explanation:
16 cups in 1 gallon
16*6 = 96 cups in 6 gallons
96 - 30 = 66
one baseball team played 24 games throughout their entire season if this baseball team won 6 of those games what percentage did they win
Answer:
25%
Step-by-step explanation:
As it states in the question there are 24 total games
So the denominator must be 24, The problem also states they won 6 games.
So the fraction of the games they won is 6/24.
But the qustion is not about the fraction, its about the percentage of the games they won.
so you can simplify 6/24 to 1/4 which eqeal to 25%
1/4=25%
So 25% is the answer.
At what time is Ann driving 35 mph? show the work that leads to your answer
Answer:
at 6 minutes and 8.25 minutes
Step-by-step explanation:
When the time reaches 6 minutes, the line touches 35mph. Same goes for 8.25 minutes.
A coach in a train can seat exactly 72 people for a trip. The train has 12 such coaches. If the train made 156 trips in full capacity in a year, how many people has it carried in that time?
72 x 12 = 864
864 x 156 = 134,784
in the capacity of the year, 134784 people have been carried on the train
merry christmas:)
In the word problem, the train has carried 134,784 people in that year.
How to Solve the Problem?To calculate the total number of people carried by the train in a year, we need to find the number of people carried in a single trip and then multiply it by the total number of trips made in a year.
Each coach can seat exactly 72 people, and there are 12 coaches on the train. So, in a single trip, the train can carry:
72 (people per coach) * 12 (number of coaches) = 864 people
Now, the train made 156 trips in full capacity in a year. So, the total number of people carried in that time would be:
156 (trips) * 864 (people per trip) = 134,784 people
Therefore, the train has carried 134,784 people in that year.
Learn more about word problem here: https://brainly.com/question/21405634
#SPJ2
What is the product?
4^3 4^-3
Answer:
Im pretty sure its 1
Step-by-step explanation:
If you meant 4^3*4^-3, then yeah, its 1
is 15 m 36 m and 39 m a right triangle?
Answer:
Yes
Step-by-step explanation:
A right triangle has two sides of the same length and the two same sides create a 90 degree angle.
Please help I will give brainliest!!
Which situation represents a proportional relationship?
Answer:
So a proportional relationship is one in which there is a . For example if you know that somebody makes $10 per hour per every one hour. This is a proportional relationship and we can use an equation to represent this.
What is 4/5 divided by 3/7?
Answer:
0.0381 this should be the answer
Answer:
1 whole number 13 over 15
Step-by-step explanation:
4/5÷3/7
4/5*7/3
=1¹³/15
simplify and answer
step by step
See attachment for math work. I did number 3 only.
please help me with the question
Answer:
The right answer is Option 2:
[tex]y+6 = -\frac{3}{4}(x-2)[/tex]
Step-by-step explanation:
Point-slope form of equation of a line is given by:
[tex]y-y_1 = m(x-x_1)[/tex]
Here m is slope of the line and (x1,y1) is the point from which the line passes.
Given
Slope = m = -3/4
Point = (x1,y1) = (2,-6)
We simply have to put these value into the general form of equation of line in point-slope form
[tex]y-(-6) = -\frac{3}{4}(x-2)\\y+6 = -\frac{3}{4}(x-2)[/tex]
Hence,
The right answer is Option 2:
[tex]y+6 = -\frac{3}{4}(x-2)[/tex]
PLEASEEEE HELPPPPPPP!!
Answer:
15.13 cm
Step-by-step explanation:
We are given:
Lateral surface area of a right circular cone : πr√r² + h²
From the question, we know that:
Lateral surface area = 236.64cm²
Radius = 4.75cm
Height = ?
Making h the subject of the formula
h = √[(A/r)² - πr²]/π
h = √[(236.64/4.75)² - π ×4.75²]/π
h = √(2481.9275169 - 70.882184247)/π
h = 15.12975 cm
Approximately to the nearest hundredth = 15.13cm
The interval or intervals for witch (x-1)(x-2)>0 is/are
Bob has 8 more dimes than quarters if he has a total of $4 .30, how many of each coin dies he have?
Mae Ling earns a weekly salary of $335 plus a 7.0% commission on sales at a gift shop. How much would she make in a work week if she sold $4,700 worth of merchandise?
Answer:
She made $664 during that work week.
Step-by-step explanation:
As Mae Ling earns $ 335 per week plus a commission of 7% with respect to the value of the sales she makes, and in the week she made sales for $ 4,700, to determine how much money she earned in the week the following calculation must be made:
335 + (4,700 x 7/100) = X
335 + (32,900 / 100) = X
335 + 329 = X
664 = X
Therefore, during that week Mae Ling earned $ 664.