Corey has 16 cups of flour to make cookies. one batch of cookies takes 2.5 cups of flour. if he must save 6 cups of flour for other baking, write and solve and solve an inequality to determine how many batches of cookies he can make. Interpret the solution.
Final answer:
Corey can make at most 4 batches of cookies with the 10 cups of flour available for cookie making, after reserving 6 cups for other purposes.
Explanation:
To determine how many batches of cookies Corey can make, we need to write and solve an inequality. Corey has 16 cups of flour and needs to save 6 cups for other baking, leaving him with 16 - 6 = 10 cups of flour to use for cookies. Each batch of cookies requires 2.5 cups of flour. Let the number of batches be represented by b. The inequality will then be:
2.5b ≤ 10
To solve for b, we divide both sides of the inequality by 2.5:
b ≤ 10 / 2.5
b ≤ 4
This means Corey can make at most 4 batches of cookies with the flour he has, after setting aside 6 cups for other baking purposes.
325 people were in a tour group. Six buses were completely filled and 7 people chose to walk. How many people did the bus hold?
You are setting up a zip line in your yard. You map out your yard in a coordinate plane. An equation of the line representing the zip line is y=2x+4y=2x+4. There is a tree in your yard at the point (−4, 11)(−4, 11). Each unit in the coordinate plane represents 1 foot. Approximately how far away is the tree from the zip line? Round your answer to the nearest tenth.
Answer:
on what
Step-by-step explanation:
The drama club is selling short-sleeved shirts for $5 each, and long-sleeved shirts for $10 each. They hope to sell all of the shirts they ordered, to earn a total of $1,750. After the first week of the fundraiser, they sold 1/3 of the short-sleeved shirts and 1/2of the long-sleeved shirts, for a total of 100 shirts.
This system of equations models the situation.
5x + 10y = 1,750
1/3x + 1/2y = 100
Let x represent the number of short-sleeved shirts ordered and let y represent the number of long-sleeved shirts ordered.
How many short-sleeved shirts were ordered?
How many long-sleeved shirts were ordered?
Answer:
150 short-sleeved shirts and 100 long-sleeved shirts.
Step-by-step explanation:
We will use elimination to solve this system of equations. We will make the coefficients of x the same in order to eliminate them; to do this, we must multiply the bottom equation by 15 (1/3 of 15 is 5, so 15(1/3) = 5):
[tex]\left \{ {{5x+10y=1750} \atop {15(\frac{1}{3}x+\frac{1}{2}y=100)} \right. \\\\\left \{ {{5x+10y=1750} \atop {5x+7.5y=1500}} \right.[/tex]
Subtract the second equation from the first one:
[tex]\left \{ {{5x+10y=1750} \atop {-(5x+7.5y=1500)}} \right. \\\\2.5y=250[/tex]
Divide both sides by 2.5:
2.5y/2.5 = 250/2.5
y = 100
Substitute 100 in for y in the first equation:
5x+10(100) = 1750
5x+1000 = 1750
Subtract 1000 from both sides:
5x+1000 - 1000 = 1750 - 1000
5x = 750
Divide both sides by 5:
5x/5 = 750/5
x = 150
1/3=4/12 incorrect or correct in ratio
Yolanda purchased a prepaid phone card for $25 . Long distance calls cost 23 cents a minute using this card. Yolanda used her card only once to make a long distance call. If the remaining credit on her card is $22.24 , how many minutes did her call last?
Joesl's father is 45. He is 15 years older than twice joe's age. How old Is joe?
You divide a number by 3,add 6 then subtract 7. The result is 4 . What is the number
I have a fair six sided dice numbered 4,9,12,16,20 and 24 what is the probability of rolling a multiple of 4
Why there must be at least two lines on any given plane
slope is -2 and (1,1) is on the line
Use long division to find the quotient of 405 and 27
PLZ TELL HOW U GOT THE ANSWER AND IT'S THE CIRCLED ONE PLLLLLZZZZZ
what is 3 3/5 divided by 6 in simplest form
23.791 round to nearest tenth
Which statement is true
Belinda wants to buy 5 pictures to hang in her family room . If each picture costs $30.90 how much will it cost her to buy 5? Justify your answer by using distributive property
A recipe calls for 2/3 cup of brown sugar.marilyn is making 5 batches.how many cups of brown sugar should Marilyn use?
How many solutions does the equation have 5(n-2)=5n-10
Susan can buy 312312 lb of strawberries for $7.00. How many pounds of strawberries can she buy for $1.00? Express you answer as a fraction in simplest form
Answer:
are you sure it is that large number and not 3 1/2
Step-by-step explanation:
A card is drawn from a standard deck and a letter is chosen from the word incredible. What is the probability of drawing a king then getting an i?
Step-by-step explanation:
A card is drawn from a standard deck. A standard deck of cards has 52 cards. Its been asked if it is a king. There are 4 kings in a deck, so probability is = [tex]\frac{4}{52}[/tex] or [tex]\frac{1}{13}[/tex]
Simultaneously, a word is chosen from 'incredible' that has 10 letters. We have been asked if the letter is 'i'. In the given word, we have 2 'i's. So, probability is [tex]\frac{2}{10}[/tex] or [tex]\frac{1}{5}[/tex]
What is a FREAKIN ratios
pretty simple
compares two amounts like 4:5 is a ratio
What is 8(c-9)=6(2c-12)-4c
Suppose that 12 inches of wire costs 48 cents. At the same rate, how many inches of wire can be bought for 24 cents?
Which value for x makes the sentence true?
5(9x-6) + 15 = 210
A. 8
B. 10
C. 2 11/17
D. 5
Best full explanation gets brainiest, rating and thx.
PLEASE DONT ANSWER IF YOU CANT EXPLAIN!
1.) Each time a ball hits the ground, it bounces back to 2/3 of its previous height. On its second bounce, the ball reaches a height of 12 in. What was the balls original height?
2.) A runner jogs on a 1/4-mi track. How many miles does the jogger run in 18 laps?
Thanks!
The The graph of g(x) is the result of translating the graph of f(x) = 3x six units to the right. What is the equation of g(x)?
g(x) = 3x – 6
g(x) = 3x + 6
g(x) = 3x – 6
g(x) = 3x + 6
Mark this and return
Answer:
The graph of g(x) is the result of translating the graph of f(x) = 3x six units to the right
When a graph is shifted 'a' units to the right f(x) becomes f(x-6)
Given f(x)= 3x
When graph is shifted 6 units to the right , then g(x)= f(x-6)
Replace x with x-6
g(x)= 3(x-6)= 3x-12
so g(x)= 3(x-6)
Step-by-step explanation:
art supplies in washington DC cost 28 dollars if the sales tax is 6 percent what was the total cost of supplies
40 pounds of sugar are repackaged of 1/16 pounds each. how many packet of sugar are there?
Final answer:
To find the number of sugar packets from 40 pounds, divide by the weight per packet (1/16 pound). The calculation is 40 divided by 1/16, resulting in 640 packets.
Explanation:
To determine how many packets of sugar you can make from 40 pounds of sugar when each packet is 1/16 pounds, you would divide the total amount of sugar by the amount each packet contains. This is a basic math problem involving division.
Here's the calculation:
First, we establish that there are 40 pounds of sugar that need to be divided into packets.
Next, since each packet will contain 1/16 of a pound of sugar, we divide the total pounds of sugar by the weight of each packet.
The calculation is 40 pounds \/ (1/16) pounds per packet, which simplifies to 40 × 16 packets.
After performing the multiplication, the result is 640 packets of sugar.
Therefore, you would have a total of 640 packets of sugar if you repackage 40 pounds of sugar into 1/16 pound packets.
A window has a radius of 12 inches. What is the circumference of the window? Use 3.14 to approximate pi. Round your answer to the nearest whole number.