Answer:
The equation is:
72 = (b - 1)*b = b^2 - b
And the solution to this problem is:
b = 9
So we have 9 bottles in each one of the longer rows.
Step-by-step explanation:
Let's use the variables:
b = number of bottles in the longer rows
a = number of bottles in the shorter rows.
We know that the total number of bottles in the crate will be equal to the product between a and b.
then:
72 = a*b
And we also know that
"e rows across the width of the crate hold 1 bottle less than the rows across the length of the crate."
This means that
a = b - 1
Now, we could replace this in the above equation to get:
72 = (b - 1)*b = b^2 - b
Then we have the quadratic equation:
b^2 - b - 72 = 0
The solutions of this equation can be found if we use Bhaskara's formula, the two solutions are:
[tex]b = \frac{1 +- \sqrt{(-1)^2 - 4*1*(-72)} }{2*1} = \frac{1 +- 17}{2}[/tex]
Then we have two solutions:
b = (1 - 17)/2 = -16/2 = -8 (this is a negative number, and has no meaning in our case, then this solution can be discarded)
the other solution is:
b = (1 + 17)/2 = 18/2 = 9
This is our solution, the larger rows have 9 bottles each.
Complete the equation for the horizontal line that passes through (5.-7).
Answer:
it would be y= -7
Step-by-step explanation:
PLEASE HELP ASAP Jodi borrowed money from her aunt and agreed to pay her 5% simple annual interest. At the end of 3 years, she owes $30 in interest. How much did Jodi originally borrow?
Joni pays an annual interest of 5%, which means that in three years, the interest is 15%.
Let us assume that the amount Joni borrowed is m.
After three years, the interest is $30.
15% of the amount m = $30
0.15m = 30
m = 30/0.15 = 200
Therefore, Jodi originally borrowed $200.
you can find the constant of proportionality by finding the ratio of
Answer:
The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate. The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.
Step-by-step explanation:
The proportionality constant is the ratio of two directly proportional quantities.
What is a constant of proportionality?The proportionality constant is the ratio of two directly proportional quantities. When two quantities increase and decrease at the same rate, they are directly proportional. The proportionality constant k is given by k=y/x, where y and x are two directly proportional quantities.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Two numerical sequences, often experimental data, are said to be proportional or directly proportional if their corresponding elements have a constant ratio, which is known as the coefficient of proportionality or proportionality constant.
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If John drove 376.35 miles in 6.5 hours, what is Johns average speed in
miles per hour? *
Answer:
I believe the answer would be 57.9
Step-by-step explanation:
You would have to divide 376.35 by 6.5.
Hope this helps :D
Select all that apply.
Which numbers are not perfect squares?
36
14
20
O16
25
18
24
Answer:
14
20
18
24
Step-by-step explanation:
36 = 6 x 6
16 = 4 x 4
25 = 5 x 5
All others are not square
HELP ASAP!!!! During a promotional weekend, a state fair gives a free admission to every 158th person that enters the fair. On Saturday, there were 5,234 people attending the fair. On Sunday, there were 7,359 people attending the fair. How many people received a free admission over the two days?
___________________ people received free admission over the two days.
pls help meee!! TT,,,
Answer:
B 523.33
Step-by-step explanation:
I answered that question before
The shapes show that there are 4 squares for every
6 circles and 4 squares.
4 circles.
6 circles.
8 circles.
10 circles.
Answer:
dats alot there shortie, anyways...how you doing and if you answer this...i have sum you might like to hear
Step-by-step explanation:
Answer:
The answer is 6 circles
Step-by-step explanation:
Help plz Help plz Help plz Help plz
Answer:
I wanted to let you know that you are NOT what your username suggests you are. Please do not think like that.
Step-by-step explanation:
If Alice had 50 pieces of ribbon and she used 38 pieces how many pieces does she have leftover? (She has green ribbon to make her a new green dress)
Answer:
12
Step-by-step explanation:
This is a standard subtraction problem, so our equation is:
50 - 38 = 12
So she has 12 pieces of ribbon left
Answer:
12
Step-by-step explanation:
This is a simple subtraction equation.
50-38
=12
Or you could reverse it,
38+12
=50
Ann is a professional photographer. She has a photo 8cm long and 6cm wide. A customer wants a print of the photo. The print is to be similar to the original, but have half the area of the original. Ann plans to reduce the length and width of the photo by the same amount. What are the dimensions of the print? (Show work)
Answer: 6 cm by 4 cm
Step-by-step explanation:
Half of 48 = 24
(8-x)(6-x) = 24
x^2 - 14x + 24 = 0
FACTOR THE PROBLEM
x(x-2) -12(x-2) = 0
Therefore, x either equals 2 or 12
We reject 12 because it is larger than both of the original dimensions
CHECK
(8-2)(6-2) = 24
6 x 4 = 24
Is the function y = -6x2 + 4x - 9 linear or nonlinear?
Answer:
Nonlinear
Step-by-step explanation:
Because -6 has a exponent, which is 2.
Mia buys ink at the office supply store for a business. She buys 3 printer cartridges, and the sales tax is 7%.
Write an expression to represent the total cost of ink supplies in two different ways. Let c represent the cost of a printer cartridge.
Answer:
3[c(0.07)]+c=? [3(c)]1.07=?
Step-by-step explanation:
The expression that is used to represent the total cost of ink supplies is 3c + 3c(0.07) and 3c(1.07).
Given that,
Mia purchased 3 printer cartridges.The sales tax is 7%.Here c means the cost of the printer cartridge.Based on the above information, the calculation is as follows:
= 3c + 3c(0.07)
And
3c(1.07)
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The area of an isosceles triangle is 49 square inches. The perimeter of the triangle is?
Answer:7
Step-by-step explanation:
31
1/20
What is the x-value of the system of equations shown below?
2x + y = 6
y = 3x - 4
3
-2.
2.
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Answer:
x=2
Step-by-step explanation:
First you put the equations in the form of y = mx + b
Then once they are like that it would look like:
y = -2x + 6
y = 3x - 4
So then you can set them equal to each other and it will look like this:
-2x + 6 = 3x - 4
Then you add 2x to both sides and get:
6 = 5x - 4
Next, add 4 to both sides and get:
10 = 5x
So then you will simplify by dividing both sides by 5 and getting:
2 = x
HELP ASAP I will mark brainliest
Answer:
option 4
Step-by-step explanation:
Which of the equations below could be the function rule for the following function?
{(0, -1), (1, 2), (-1, -4), (2, 5)}
y = x - 3
y = x + 1
y = 3 x - 1
y = 2 x + 1
Answer:
the correct equation for which the following functions are true is
c.) y = 3x - 1
Expand the following: 6(x – 4y)
Answer:
6(x-4y) = 6x - 24y
Step-by-step explanation:
Here, we want to expand the given expression
We can do this using the distributive approach
We have this as;
(6 * x) - (6 * 4y)
= 6x - 24y
Predict what the products would be in the following double displacement reaction:
KBr + AgNO3---->____ + ____
KBr + AgNO3 --------> KNO3 + AgBr
It is Double displacement reactions ( means ions exchange take place)When potassium bromide react with silver nitrate then,products came out are potassium nitrate and silver bromide.Pls help and show workings
It due in a hour
Answer:
13
Step-by-step explanation:
i answered this for someone else a little bit ago and i got a thanks on it and i chose that answer because 13 is already on the triangle and n is too small to match up with the 13cm
PLEASE HELP I WILL GIVE BRAINLIEST!!
-
A line is rotated. Which of these could be the results?
The rotation of line will result in the graph A
What is Rotation?The measure of the amount a figure is rotated about the center of rotation is called the angle of rotation. The angle of rotation is usually measured in degrees. We specify the degree measure and direction of a rotation.
90° clockwise rotation: (x,y) becomes (y,-x)
90° counterclockwise rotation: (x,y) becomes (-y,x)
180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)
270° clockwise rotation: (x,y) becomes (-y,x)
270° counterclockwise rotation: (x,y) becomes (y,-x)
Given data ,
Let the line be represented as m
Now , the line m is depicted on the graph
And , when a line is rotated in a plane, the possible results are:
A rotation of 0 degrees: The line stays in its original position.
A rotation of 180 degrees: The line rotates half way around and ends up pointing in the opposite direction.
A rotation of any angle between 0 and 180 degrees: The line rotates by that angle, either clockwise or counterclockwise, depending on the direction of the rotation.
Hence , the rotation of line is solved and is graph A
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a) 1/5 ÷ 4
b) 7 ÷ 1/6
Answer:
What is the question.
Step-by-step explanation:
Please let me know so I can help
Last week, Akira spent 5 hours doing homework. Brendan did homework for 3/4 as many
hours as Akira did. How many hours did Brendan spend doing homework?
Write your answer as a fraction or as a whole or mixed number.
hours
Submit
Answer:
3 hours 45 minutes.
Step-by-step explanation: 5 hours is 300 minutes. 3/4 of 300 is 225 minutes. 225 minutes is 3 hours 45 minutes. BAM
Also brainly would be great
The area of Tyrone's square bedroom is 144 square feet. He wants to paint the walls of his room. How much paint would he need to paint all four sides?
I'll give brainliest
Answer:
Each side is 12 feet.
is the slopes 4 and -4 perpendicular, parallel, or neither?
48/72 and 6/9 propotional or not proportional
Answer:
Yes they are.
Step-by-step explanation:
Because both equal 6/9 I think
Answer:
proportional
Step-by-step explanation:
6/9 × 8/8 = 48/72
Just need to no the answer thanks
Answer:
Option a is the correct answer
Step-by-step explanation:
[tex] \huge( \sqrt[x]{2})^{ - 1} = {2}^{ - \frac{1}{x} } [/tex]
A: Which has a greater rate of change?
B: How can you tell
Answer:b
Step-by-step explanation:y=-
PLS Help i can't get it (30÷5)6-2
What is the value of x that makes this equation true?
-0.03x = -12.42
А
-414
B
-12.45
С
-0.3726
D
414
E
468
Answer:
D.414...................
