Answer:
(A) 1(B) 3 (C) 2(D) 4
Step-by-step explanation:
Latoya paid $17.64 for a 7.94-kg bag of dog food. A few weeks later she paid $18.88 for an $8.39-kg bag at a difference store. Find the unit price for each bag. Then state which bag is the better buy based off the unit price. Round your answer to the nearest cent
Answer: The answer is given below
Step-by-step explanation:
From store 1:
Latoya paid $17.64 for a 7.94-kg bag of dog food. The unit price will be the price paid divided by the quantity. This will be:
= $17.64/7.94
= $2.22 per kg
For store 2:
A few weeks later she paid $18.88 for an $8.39-kg bag at a difference store. The unit price in the second store will be: $18.88/8.39 = $2.25 per kg.
The unit price of the first store is a better buy because the price is cheaper.
Answer:
the price of the first store is cheaper by 0.03 dollars (2.25 - 2.22), that is to say 3 cents
Step-by-step explanation:
To calculate the unit price we must divide by the price by the weight, thus we will obtain the value for each kilogram of dog food:
First price:
17.64 / 7.94 = 2.22
In other words, the price is 2.22 dollars per kilogram.
Second price:
18.88 / 8.39 = 2.25
In other words, the price is 2.25 dollars per kilogram.
Which means, that the price of the first store is cheaper by 0.03 dollars (2.25 - 2.22), that is to say 3 cents.
Jim, Dan and David share some sweets in the ratio 3:1:5. Jim gets 21 sweets. How many more sweets does David get over Dan?
Answer:
David gets 28 more than Dan
Step-by-step explanation:
Jim: Dan : David: total
3 : 1 : 5 : 3+1+5 = 9
Jim gets 21
21/3 = 7
Multiply each number by 7
Jim: Dan : David: total
3*7 : 1*7 : 5 *7 : 9*7
21 : 7 : 35 : 63
David has 35 and Dan has 7
35-7 = 28
David gets 28 more than Dan
not sure on this one
Answer:
3.5
Step-by-step explanation:
LJ/sin 23° = 9/sin 89°
LJ/0.39 = 9/0,99
LJ = (9*0.39)/0.99 = 3.517
LJ ≈ 3.5
Answer:
3.5
Step-by-step explanation:
∠K is about 3 times less than ∠J
so opposite sides have roughly same ratio
Only the last option, 3.5 is close to the length 3 times less than 9
one x intercept for a parabola is at the point (1,0). use the factor method to find the other x intercept for the parabola defined by y=-5x^2+15x-10
First simplify the equation of parabola y=-5x^2+15x-10 in the following way:
D=(15)^2-4\cdot (-5) \cdot (-10)=225-200=25, \\ \sqrt{D}=5, \\ x_{1,2} = \dfrac{-15\pm 5}{2\cdot(-5)} = 2, 1 \\ -5x^2+15x-10=-5(x-1)(x-2), \\ y=-5(x-1)(x-2).
You can see that if x=1 or x=2, then y=0. Two points of intersection with x-axis are (1,0) and (2,0).
PLEASE determine the product or quotient:
a) (2x^2)(-4x^5)
b) (36m^2) / (-9nx)
c) -11ab^9b^6 / 5b^3a
Answer:
a ) - 8x^7,
b ) - 4m^2 / nx,
c ) - 11a^2b^18 / 5
Step-by-step explanation:
[tex]a ) (2x^2)(-4x^5),\\-2x^2\cdot \:4x^5,\\-8x^5x^2,\\-8x^7\\\\Solution = -8x^7[/tex]
To solve this problem, I removed ( ), multiplied the terms, and through the " exponential rule " added the exponents to derive the solution - 8x^7
[tex]b ) (36m^2) / (-9nx),\\-\frac{36m^2}{9nx},\\-\frac{4m^2}{nx}\\\\Solution = -\frac{4m^2}{nx}[/tex]
Here I simplified the bit " 36 / 9 " which was found as 4 in the numerator, deriving the solution - 4m^2 / nx
[tex]c ) -11ab^9b^6 / 5b^3a,\\-11b^9\frac{b^6}{5}b^3a^{1+1},\\-11b^9\frac{b^6}{5}b^3a^2,\\-11\cdot \frac{b^6}{5}b^{9+3}a^2,\\-11\cdot \frac{b^6}{5}b^{12}a^2,\\-\frac{b^6\cdot \:11b^{12}a^2}{5},\\-\frac{11a^2b^{18}}{5},\\\\Solution = -\frac{11a^2b^{18}}{5}[/tex]
I applied a combination of " the exponential rule " and the addition of these exponents to receive a simplified solution - 11a^2b^18 / 5.
find the measure of angle 3
please help !!
Answer:
∠3 = 140°
Step-by-step explanation:
∠4 = 40°
∠4 = ∠1 (vertical angles)
∠1 = ∠2 (alternate angles)
∠2 = 40°
So,
∠2+∠3 = 180 [Angles on a straight line add up to 180°]
40 + ∠3 = 180
∠3 = 180-40
∠3 = 140°
Answer:
Angle 3 = 140°
Step-by-step explanation:
Angle 4 is equal to 40° and on a flat surface of 180°, that is, the first horizontal line, angle A is equal to 140° because 180° - 40° = 140°. Angle A is congruent to angle 3, therefore, angle 3 is also 140°.
Write the equation of a line that is parallel to 3x-2y=5 and passing through the point (-1,3)
Answer:
y = 3/2 x + 9/2
Step-by-step explanation:
3x - 2y = 5
3x - 5 = 2y
3/2 x - 5/2 = y
y = 3/2 x - 5/2, slope of this line m = 3/2.
For parallel line slope is the same.
y = mx + b
y = 3/2 x + b
Using point (-1,3) , we can find b.
3 = (3/2)*(-1) + b
3 = -3/2 + b
b = 3 + 3/2 = 6/2 + 3/2 = 9/2
y = 3/2 x + 9/2
what is the value of 7²-3³
Answer:
22
Step-by-step explanation:
7^2 - 3^3
Exponents first
49 -27
Then subtract
22
Answer: 22
Step-by-step explanation:
Exponents mean how many times you multiply the number. So basically you would 7 times 7 minus 3 times 3 times 3. 7 times 7 is 49. 3 times 3 is 9. 9 times 3 is 27. 49 minus 27 is 22.
Could someone help me
out with this question?
A movie complex with 3 theaters has a total capacity of 800 seats. There are 270 seats in Theater 1. There are 150 more seats in Theater 2 than in Theater 3. How many seats are in Theater 2?
Answer:
340
Step-by-step explanation:
No. of seats in theater 1 = 270
Let the no. of seats in theater 3 be x
given that
There are 150 more seats in Theater 2 than in Theater 3.
no. of rooms in theater 2 = no. of rooms in theater 3 + 150
x + 150
Total numbers of seats in all the theater = 270+ x + x+150 = 2x + 420
It is also given that total capacity is 800 seat
thus
Total numbers of seats in all the theater = 800
2x+420 = 800
=> 2x = 800 - 420 = 380
=> x = 380/2 = 190
Thus, no of rooms in theater 3 is 190.
No. of rooms in theater 2 is x + 150 = 190 + 150 = 340 ---> Answer
A company produces a cardboard box in the shape of a rectangular prism. The surface area of the box is represented by
S= 4x, where x is the length of the base. Find the inverse by solving for x without switching the variables.
The inverse function is x =
Answer:
x=S/4
Or
x=S(1/4)
Step-by-step explanation:
Surface Area(S)=4x
Where
x=length
Inverse by solving for x without switching the variables
S=4x
Divide both sides by 4
S/4=4x/4
S/4=x
x=S/4
Or can also be written as
x=S(1/4)
Thirteen out of 20 emails in your inbox are junk emails. What is the experimental probability that your next email is junk? Give your answer as a fraction, decimal and percent (in this order).
Fraction =
Decimal =
Percent = %
Answer:
Fraction = 13/20
Decimal = 0.65
Percent = 65%
Step-by-step explanation:
Given:
13 out of 20 emails in mail inbox are junk emails
Solve for:
The experimental probability that next email is junk
Solution:
Step 1: Define the formula for calculating the probability
P = number of elements/total number of elements
Step 2: Perform the calculation
The number of elements (junk emails) = 13
The total number of elements (all emails) = 20
=> P(obtain odd number in experiment) in fraction form = 13/20
=> P(obtain odd number in experiment) in decimal from = 0.65
=> P(obtain odd number in experiment) in percent form = 0.65 x 100 = 65%
Hope this helps!
:)
Simplify the ratio 68:28
Answer:
17:7
Step-by-step explanation:
68/4 = 17 and 28/4 = 7
Thus, 68:28 ratio simplified is 17:7
Please brainliest me PlsAnswer:
The answer is 17/7 or 2.43
a recipe requires 3.5 teaspoons of sugar to make a tart which equation shows the number of teaspoons of sugar , y , needed to make x tarts?
Answer: x = 3.5y
Step-by-step explanation:
3.5 teaspoons of sugar (y) per tart (x) would look like this
You multiply 3.5 by y to equal x divided by 3.5
x = 3.5y
Jenny sells 49.5 ounces of lemonade for a total of $39.60.
Find the unit price in dollars per ounce.
If necessary, round your answer to the nearest cent.
Answer:
0.8
Step-by-step explanation:
Divide the total price by how many ounces of lemonade to find the unit price.
The unit price in dollars per ounce will be;
⇒ 0.8 dollar per ounce.
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Jenny sells 49.5 ounces of lemonade for a total of $39.60.
Now,
Since, Jenny sells 49.5 ounces of lemonade for a total of $39.60.
Hence, The unit price = 39.60 / 49.5 dollars per ounce.
= 0.8 dollar per ounce.
Thus, The unit price in dollars per ounce will be;
⇒ 0.8 dollar per ounce.
Learn more about the divide visit:
https://brainly.com/question/29332450
#SPJ2
Complete the missing parts of the table for the following function.
y=(1/6)^x
36,6,36
and btw what episode u on on naruto yah weeb
The cost of renting a community center is $100, with an additional cost of $10 per guest.
Which graph has the most appropriate scales and units for this situation?
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
The number of guests is the independent variable and should be between 1 and 50. We can use a scale of 10's
The cost is the dependent variable and the minimum cost is 100 and should rise from there
The scale would be from 100 's
I need the answers immediately hw is due in 5 mins!!!!!!!
Which is NOT a solution of the inequality: 5 - 2x ≥ -3 ? *
0
2
4
5
Answer: 5
Step-by-step explanation:
first is brainliest 0~0
Answer:
65.60
Step-by-step explanation:
First find the markdown
markdown = original price times the percent markdown
= 80* 18%
= 80 * .18
14.4
Take the markdown from the original price to find the retail price
80-14.4 =65.60
13. What is the circumference of a circle with a diameter of 6 cm. Leave your answer in terms of tt.
O 6 cm
O 247 cm
O 12 cm
O 9 cm
Answer:
C = 6pi cm
Step-by-step explanation:
The circumference of a circle is given by
C = pi *d
C = 6pi cm
Cosine 73 degrees, round to the nearest ten thousandth.
Answer:
0.2924
Step-by-step explanation:
Use a calculator.
cos 73 deg = 0.2924
Question 6 of 10
2 Points
Which of the following words means "chore"?
A. El sillón
B. El estante
C. El dormitorio
O D. El quehacer
Answer:
D
Step-by-step explanation:
it translated into housework in other words chore. hope this helps :)
Answer:
D
Step-by-step explanation:
-
I hate math bro please help me ill mark u brainliest
Please I need a answer for 5,6,7, and 8 !!! Please ill mark you as brainliest
Answer:
5. 48
6. 33
7. -16
8. -7
Step-by-step explanation:
[tex]5. \\8(10-4)=\\80-32=\\48[/tex]
[tex]6.\\(-4+-7)(-3)=\\(-4-7)(-3)=\\(-11)(-3)=\\33[/tex]
[tex]7.\\(-7+3)4=\\-4*4=\\-16[/tex]
[tex]8.\\-1(18-11)=\\-1(7)=\\-7[/tex]
Simplify the following 3 x a x 2 x b
Answer:
6 times ab
Step-by-step explanation:
3 times 2 = 6
a times b = ab
Answer:
6ab
Step-by-step explanation:
8. The difference between two numbers is 14. If 1/3of the larger number is subtracted from the smaller number, the
result equals 1/10 of their sum. Find both numbers.
Answer:
The values of the 2 numbers whose sum is 13 and difference is 3, are: {8 ; 5}.
Step-by-step explanation:
HELP. THIS IS ABOUT DILATION EXPLANATION NEEDED
Answer:
(16,14)
Step-by-step explanation:
Dilation is increasing/decreasing something by a factor. The shape remains the same; it's just bigger or smaller.
This shape is a square, so all lines are the same length. Find the distance between C and D (it can honestly be any adjacent points). The distance is 6. You can usually use the distance formula, but since C and D have the same y-coordinate, you can just do |x2-x1|. Since you're multiplying by 2, the new distance should be 12. Since the y-coordinate of A' is 14, the y-coordinate of B is also 14. The x-coordinate should be 12 units away from the new A' (which is (4,14)). B is (16, 14)
Answer:
To dilate from the origin, you would need to multiply each coordinate by 2. For example, for A(2*2,7*2). After you do that to each coordinate, plot the points on a graph(by hand or using Desmos). Then, since it is a square determine point B by counting a certain number of units away from another point. A square has four congruent sides.
Topic: Probability
Only complete question 12.
Answer:
see below
Step-by-step explanation:
bag: 3 red + 2 black = 5 total
Box: 4 green + 1 yellow = 5 total
P(red) = number of red/ total in bag = 3/5
P(green) = number of green / total in box = 4/5
P( red, green) = P(red) * P(green) = 3/5*4/5 = 12/25
2 3 x = − 1 2 x + 5 what is x?
Answer: 1/7
Step-by-step explanation:
23x = -12x + 5
23x + 12x = 5
35x = 5
x = 1/7
What is the probability that a card drawn randomly from a standard deck of 52 cards is a nine? Express your answer as a fraction in lowest
terms or a decimal rounded to the nearest millionth.
Answer:
1/13
Step-by-step explanation:
There are 4 nines in a deck so the probability is 4/52 = 1/13
The probability that a card drawn randomly from a standard deck of 52 cards is a nine is 1/13.
What is Probability?
Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
Here, Total outcomes = 52 cards
Number of cards which contain 9 = 4 cards
Probability = favorable outcomes/ total outcomes
= 4 / 52
= 1/13
Thus, The probability that a card drawn randomly from a standard deck of 52 cards is a nine is 1/13.
Learn more about Probability from:
https://brainly.com/question/11234923
#SPJ2
