The prices you can pay per fish can be represented by the inequality 5x ≤ 12. After solving the inequality, the maximum price you can pay per fish is $2.40.
Explanation:To write the inequality that represents the prices you can pay per fish, let's assume that the price of each goldfish is 'x' dollars. Since you have $12 in total, the inequality can be written as:
5x ≤ 12
To solve this inequality, divide both sides by 5:
x ≤ 2.4
Therefore, you can pay at most $2.40 per fish.
Louise bought 114 pounds of roast beef at $2.00 per pound and 212 pounds of turkey at $1.50 per pound. What was her total cost? Enter your answer in the box. $
Answer: Hello there!
Louse bought 114 pounds of roast beef at $2.00 per pound, this means that each one of the 114 pounds cost $2, then the total cost of the roast beef is $2*114 = $228.
For the turkey she bought 212 pounds at a price of $1.50 per pound, with the same reasoning as before, we need to see $1.50*212 = $318
then she spend $228 in roast beef and $318 in turkey, then the total cost is the addition of this two: $228 + $318 = $546.
Dee is driving home from a conference. The expression 705 – 60h gives the number of miles Dee is from home after driving h hours. Which best represents the meaning of the term 60h?
A. the number of miles Dee drove each hour
B. the number of miles Dee had to drive before she started
C. the number of miles Dee drove in h hours
D. the number of miles Dee had left to drive after driving h hours
The statement that best represents the meaning of the term 60h is:
C. the number of miles Dee drove in h hours
Step-by-step explanation:The expression 705 – 60h gives the number of miles Dee is from home after driving h hours.
This means that initially he is: 705 miles away from the home.
Now, he is travelling at a speed of 60 miles per hour.
This means that the distance he travels in h hours is: 60h miles.
Hence, the correct answer is: Option: C
11x-9=108 What is the answer to this equation?
11x-9 = 108
add 9 to both sides:
11x = 117
divide both sides by 11
x = 117 / 11 = 10.63636364
Inequality solution wuestions
Shawn read 3/4 of a chapter of his history book in 1/6 of an hour at this rate how many chapters of his history book can he read in 1 hour explain
What is the discrimination of 3x^2+6x=2
What is 2x + 3y = 1,470 in slope-intercept form? Show your work, please!!
How far apart in miles are two towns that are 3.25 inches apart on map?
Answer:
so for every .25 in it is 20 miles
3.25 is 13 x .25, so 13 is your answer for the next equation.
Now multiply 13 to 20
13 x 20 = 260
260 miles is your answer
Step-by-step explanation:
Carla and Brandon are members of two different magazine programs where any magazine ordered is the same price, regardless of the magazine ordered.
Carla pays $9.44 for 4 magazines, and she pays $21.24 for 9 magazines.
The equation below represents the amount of money Brandon pays for x magazines.
y = $2.87x
Who pays more per magazine?
A.
Brandon and Carla pay the same price per magazine.
B.
Carla pays more per magazine.
C.
Brandon pays more per magazine.
D.
There is not enough information to determine the price per magazine.
Brandon pays more per magazine
What is Linear equations ?
Linear Equation is an equation in which the highest power of the variable is always 1 .
From question it is given ,
Carla pays $9.44 for 4 magazines
Let cost of one magazine is '$m'
4 * m = $9.44
m = 9.44 /4 = 2.36
hence , Carla paid $ 2.36 for one magazine
In case of Brandon ,
from equation y = $ 2.87 x
it can be seen that he paid $ 2.87 per magazine
Hence , answer is c) Brandon pays more per magazine
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31.68 is 45% of what number?
Answer: The required number is 70.4.
Step-by-step explanation: We are given to find the number of which 31.68 is 45%.
Let x be the required number.
Then, according to the given information, we have
[tex]45\%\times x=31.68\\\\\Rightarrow \dfrac{45}{100}\times x=31.68\\\\\Rightarrow x=\dfrac{3168}{45}\\\\\Rightarrow x=70.4.[/tex]
Thus, the required number is 70.4.
A snail is at the bottom of a well. In the first 10 minutes, the snail climbs 23 7/12 inches. In the next 10 minutes, it clims 19 5/6 inches. How far is the snail from the bottom of the well after 20 minutes?
Write 30 : 84 as a ratio in simplest form
WHAT IS THE RELATIONSHIP BETWEEN A DOMAIN, RELATION, AND RANGE??????
The relationship between a domain, relation, and range in mathematics is that the domain represents the set of input values, the relation shows the relationship between input and output values, and the range represents the set of output values.
Explanation:In mathematics, "a domain is the set of input values or independent variable in a relation or function". It represents the possible values for the input variable. A relation is a set of ordered pairs that shows the relationship between the input and output values. The range of a relation is the set of output values or dependent variable.
For example, let's consider a relation that relates the ages of students to their heights. The ages of the students would be the domain, the heights would be the range, and the ordered pairs would represent the relationship between age and height.
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Convert the mixed number to an improper fraction. Enter your answer below, using the slash mark ( / ) as the fraction bar.
3 7/8
Answer:
A number between 67 and 113 that is multiples of 4,6,8
A farmer grows two types of grain in his fields. He has a seed budget of $18,000.00 and has spent $8,100.00 to plant wheat seed so far. If barley seed costs $47.00 per acre to plant, what is the maximum number of acres of barley the farmer can plant and still be under budget?
Answer: There is 211 number of acres of barley the farmer can plant and still be under budget.
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Step-by-step explanation:
Since we have given that
Amount of budget = $18000
Expenses he spent to plant wheat = $8100
So, Total amount for acre is given by
[tex]\$18000-\$8100\\\\=\$9900[/tex]
Cost of each acre to plant = $47.00
So, the maximum number of acres of barley is given by
[tex]\dfrac{9900}{47}\\\\=210.63\\\\=211\ acres[/tex]
Hence, there is 211 number of acres of barley the farmer can plant and still be under budget.
The rabbit population in a certain area is 500% of last years population. There are 900 rabbits this year. How many were there this year?
Answer:
180 rabbits
Step-by-step explanation:
The correct question is
The rabbit population in a certain area is 500% of last years population. There are 900 rabbits this year. How many were there last year?
we know that
900 rabbits represent 500% of last year population
Last year population represent 100%
so
using proportion
Find out how many rabbits represent a percentage of 100%
[tex]\frac{900}{500\%}=\frac{x}{100\%}\\\\x=900(100)/500\\\\x=180\ rabbits[/tex]
Answer:180
Step-by-step explanation:
How is a relationship determined when looking at a scatterplot
Answer:
Scatter plots show how much one variable is affected by another. The relationship between two variables is called their correlation . ... If the line goes from a high-value on the y-axis down to a high-value on the x-axis, the variables have a negative correlation . A perfect positive correlation is given the value of 1.
Which expression has the same value as 7÷9 over 10
A . 7×10/9
B. 1/7x9/10
C. 7x9/10
D. 1/7x10/9
Answer:
b is right
Step-by-step explanation:
Anna is making soft toys she can sell at the fair. She can make 3 soft toys in 5 hours. How many soft toys can she make in 20 hours?
A. 10
B. 12
C. 16
D. 20
Answer:
B.12
Step-by-step explanation:
We can calculate it with a direct rule of 3. If in 5 hours she can make 3 soft toys, how many soft toys will she make in 20 hours?
[tex]\text{5 hours} -\!\!\!-\!\!\!- \text{3 soft toys}\\ \text{20 hours} -\!\!\!-\!\!\!- \text{x soft toys}[/tex]
We use the formula of the direct rule of 3:
[tex]x = \frac {20*3}{5} \\ \\ x = \frac {60}{5}\\[/tex]
x = 12
She can make 12 soft toys in 20 hours.
Saeed's house is 6,000 meters away from Anna's house. How many kilometers apart are their houses?
1 kilometer = 1000 meters
6000 meters / 1000 = 6 kilometers
The inverse of a function is a function.
1.) Always
2.)Sometimes
3.) Never
4.5+(2×2.5)^2-6=? show work please
Try using P.E.M.D.A.S,it will make the problem much easier:(make sure you do each step in order.)
P:Parenthesis,solve the equation in the parenthesis first.
E:Exponants,solve the exponants,if they're are none,you can skip this step.
M:Multiplication,Multiply any numbers that need to be multiplied.
D:Division,divide,if there is nothing to divide,you may skip this step.
A:Addition,add and solve for a sum.
S:Subtraction,subtract any numbers that need to be subtracdted.
If this did not help or seemed confusing,i strongly suggest you look it up on the internet or ask your teacher about P.E.M.D.A.S,it makes problems much easier to solve. :)
2x+4y=12
y=1/4x-3
what is the solution to the system of equations ?
(-1,8)
(8,-1)
(5,1/2)
(1/2,5)
Answer: The solution of the system of the equation is, (8,-1)
Step-by-step explanation:
Using substitution method
[tex]2x+4y=12[/tex] .......... (1)
[tex]y=\frac{1}{4}x-3[/tex] ......... (2)
Now we are putting equation (2) into equation (1), we get the value of 'x'
[tex]2x+4(\frac{1}{4}x-3)=12[/tex]
[tex]2x+\frac{4}{4}x-4\times 3=12[/tex]
[tex]2x-x=12+12[/tex]
[tex]3x=24[/tex]
[tex]x=8[/tex]
Now put the value of 'x' in equation (2), we get the value of 'y'
[tex]y=\frac{1}{4}x-3[/tex]
[tex]y=\frac{1}{4}\times 8-3[/tex]
[tex]y=2-3[/tex]
[tex]y=-1[/tex]
Hence, the correct option is, (8,-1)
The solution to the system of equations is (-1, 8).
Explanation:The given system of equations is:
2x + 4y = 12
y = ⅓x - 3
To find the solution to the system, we can solve it by substitution or elimination method:
Substitution Method:
From the second equation, we have y = ⅓x - 3.Substitute this value of y in the first equation.Replace y with ⅓x - 3 in the first equation: 2x + 4(⅓x - 3) = 12.Distribute 4 to both terms inside the parentheses: 2x + ⅓*4x - 12 = 12.Combine like terms: 2x + ⅓*4x = 12 + 12.Combine like terms: 2x + ⅓*4x = 24.Simplify: 2x + 4/4*x = 24.Simplify: 2x + x = 24.Combine like terms: 3x = 24.Divide both sides by 3 to solve for x: x = 8.Substitute the value of x in the second equation to find y: y = ⅓(8) - 3 = 2 - 3 = -1.Therefore, the solution to the system of equations is (-1, 8).
yasmine bought 6 gallons of apple juice. after filing up 4 bottles of the same juice, she had 0.3 gallons of apple juice left. What's the amount of apple juice in each bottle?
1.425 gallons/bottle
Further explanationGiven:
Yasmine bought 6 gallons of apple juice. After filling up 4 bottles of the same juice, she had 0.3 gallons of apple juice left.Question:
What is the amount of apple juice in each bottle?
The Process:
Let the amount of apple juice in each bottle as X.
The two steps for obtaining X are as follows:
Step-1: the total amount of apple juice is the initial gallon amount subtracted by the remaining gallon amount.
[tex]\boxed{ \ 6 \ gallons - 0.3 \ gallons = 5.7 \ gallons \ }[/tex]
Step-2: the total amount of apple juice divided by the number of bottles is the amount of apple juice in each bottle.
[tex]\boxed{ \ X = 5.7 \ gallons \div 4 \ bottles = \boxed{ \ 1.425 \ gallons/bottle \ } \ }[/tex]
Quick steps:
[tex]\boxed{ \ X = \frac{(6 - 0.3) \ gallons}{4 \ bottles} = \boxed{ \ 1.425 \ gallons/bottle \ } \ }[/tex]
Thus, the amount of apple juice in each bottle is 1.425 gallons.
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The size of each bottle that is filled by apple juice is [tex]\boxed{\bf 1.425}[/tex].
Further explanation:
Given:
Yasmine bought [tex]6[/tex] gallons of apple juice.
She filled up [tex]4[/tex] bottles of same size.
She had [tex]0.3[/tex] gallon of apple juice left.
Calculation:
Consider the size of each bottle is [tex]x[/tex] gallons.
Total size of each bottle is [tex]4x[/tex] gallons.
Total amount of apple juice used in these [tex]4[/tex] gallons can be obtained by subtracting total amount of apple juice to remaining apple juice.
[tex]\boxed{6-0.3=5.7}[/tex]
Therefore, total size of the [tex]4[/tex] bottles is [tex]5.7\text{ gallon}[/tex].
Write the equation for the total size of the bottles.
[tex]\boxed{4x=5.7}[/tex]
Now find the value of [tex]x[/tex] which gives the size of the bottles.
[tex]\begin{aligned}4x&=5.7\\x&=\dfrac{5.7}{4}\\x&=1.425\end{aligned}[/tex]
Therefore, the size of each bottle that is filled by apple juice is [tex]\boxed{\bf 1.425}[/tex].
Simple method:
First find the total size of bottle and then divide by [tex]4[/tex].
The total size of each bottle can be obtained as follows:
[tex]6-0.3=5.7[/tex]
The size of each bottle can be obtained as follows:
[tex]\dfrac{5.7}{4}=1.425[/tex]
The size of each bottle that is filled by apple juice is [tex]\boxed{\bf 1.425}[/tex].
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Answer details:
Grade: Middle school
Subject: Mathematics
Chapter: Algebraic expression
Keywords: Yasmine, apple juice, juice, 6 gallons, 0.3 gallons, filled, equally, bottles, juice, poured,1.425, liters, size, amount, equation, total size.
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