A bag holds 23 3/4 cups of sugar . A recipe for chocolate chip cookies uses 1 1/4 cups of sugar . How many batches of chocolate chip cookies can be made with one bag of sugar?
One bag of sugar can make 19 batches of chocolate chip cookies.
Explanation:To determine how many batches of chocolate chip cookies can be made with one bag of sugar, we need to divide the total amount of sugar in the bag by the amount of sugar used in each batch of cookies. Since the bag holds 23 3/4 cups of sugar, and the recipe uses 1 1/4 cups of sugar per batch, we can set up the following division:
23 3/4 ÷ 1 1/4 = (95/4) ÷ (5/4) = (95/4) × (4/5) = 95/5 = 19
Therefore, one bag of sugar can make 19 batches of chocolate chip cookies.
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What’s m = 9 + 3x - dx ? Solving for x.
Answer:
[tex]x=\frac{m-9}{3-d}[/tex]
Step-by-step explanation:
We have been given an equation [tex]m=9+3x-dx[/tex]. We are asked to solve the given equation for x.
Subtract 9 from both sides:
[tex]m-9=9-9+3x-dx[/tex]
[tex]m-9=3x-dx[/tex]
Factor out x from right side:
[tex]m-9=x(3-d)[/tex]
Switch sides:
[tex]x(3-d)=m-9[/tex]
Divide both sides by [tex](3-d)[/tex]:
[tex]\frac{x(3-d)}{3-d}=\frac{m-9}{3-d}[/tex]
[tex]x=\frac{m-9}{3-d}[/tex]
Therefore, the value of x is [tex]\frac{m-9}{3-d}[/tex].
Help me simplify! -6 - 8(1 - x) = -14 + 8x
which line is perpendicular to a line that has a slope of 3 and a y intercept at (0,0)
can someone help with this question. it would be greatly appreciated.
sqrt(60) =7.745967 rounded to nearest 100th = 7.75
58/8 = 7.25
7.3 rounded to nearest 100th = 7.33
7 3/5 = 7.6
7.6 +7.33 +7.25+7.75 = 29.93/4 = 7.4825 = 7.48km
The high school's lunch menu repeats every six school days. The middle school lunch menu repeats every 8 school days. On March 5th, both schools served chicken wraps. What is the next calendar date on which both schools serve chicken wraps?
Solve. Please show your work if you can!
y=4mx-7b solve for x
Very small numbers are often written in exponential form using scientific notation to make them easier to multiply or divide. Explain how to apply the laws of exponents when multiplying and dividing numbers written in scientific notation.
Can someone tell me what 1/2 - 1/6 is would really appreciate it, thanks
Which function describes this graph?
f(x)=4x+2
f(x)=x+2
f(x)=1/4x+2
Answer:
The correct option is 3.
Step-by-step explanation:
The slope intercept form of a line is
[tex]y=mx+b[/tex] ..... (1)
where, m is slope and b is y-intercept.
From the given graph it is clear that the graph intersect the y-axis at (0,2). So, the y-intercept of the line is 2.
The line passes through the points (0,2) and (4,3). So, the slope of the line is
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{3-2}{4-0}[/tex]
[tex]m=\frac{1}{4}[/tex]
Substitute [tex]m=\frac{1}{4}[/tex] and b=2 in equation 1.
[tex]y=\frac{1}{4}x+2[/tex]
The equation of line is [tex]y=\frac{1}{4}x+2[/tex].
Therefore the correct option is 3.
787.4÷127 show the work
Marion has 4 cards, jake has 4 cards,and sam has 3 cards.Can you write a multiplication equation to find how many cards they have in all?Explain why or why not
The ratio of girls to boys in the junior high band is 5 to 7. At the beginning of the year, there were 72 students in the band. By the end of the year, the ratio of girls to boys was 3 to 4. If there are now 48 boys in the band, how many girls joined the band during the school year?
name a point that is coplanar with points A and E
What digit is the 5 in 953,187
The sum of three consecutive even integers is 36. Let x represent the first integer, x + 2 represent the second integer, and x + 4 represent the third integer.
Which equation can be used to find the first integer?
A)3x = 2x + 6
B)3x + 6 = 36
C)3x + 36 = 2x + 6
D)2x + 6 = 36
Let
x------> the first even integer
x+2---->the second even integer
x+3---->the third even integer
we know that
[tex]x+(x+2)+(x+4)=36[/tex] -----> equation that represent the situation
solve for x
Combine like terms in the left side
[tex](x+x+x)+(2+4)=36[/tex]
[tex]3x+6=36[/tex]
therefore
the answer is the option B
[tex]3x+6=36[/tex]
The equation that can be used to find the first integer is B) 3x + 6 = 36
Further explanationSolving linear equation mean calculating the unknown variable from the equation.
Let the linear equation : y = mx + c
If we draw the above equation on Cartesian Coordinates , it will be a straight line with :
m → gradient of the line
( 0 , c ) → y - intercept
Gradient of the line could also be calculated from two arbitrary points on line ( x₁ , y₁ ) and ( x₂ , y₂ ) with the formula :
[tex]\large {m = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]
If point ( x₁ , y₁ ) is on the line with gradient m , the equation of the line will be :
[tex]\boxed {y - y_1 = m ( x - x_1 )}[/tex]
Let us tackle the problem.
Given:
The First Integer = x
The Second Integer = x + 2
The Third Integer = x + 4
The sum of three consecutive even integers is 36.
[tex]\texttt{The First Integer + The Second Integer + The Third Integer = 36}[/tex]
[tex]x + (x + 2) + (x + 4) = 36[/tex]
[tex]x + x + x + 2 + 4 = 36[/tex]
[tex]\large {\boxed {3x + 6 = 36} }[/tex]
Learn moreInfinite Number of Solutions : https://brainly.com/question/5450548System of Equations : https://brainly.com/question/1995493System of Linear equations : https://brainly.com/question/3291576Answer detailsGrade: High School
Subject: Mathematics
Chapter: Linear Equations
Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point
HOW DO YOU COUNT BY ONES FROM 368 TO 500 AND THEN CHANGE FOR A LARGER UNIT
a-2=10 solve the equation? Show your work but make sure you show work step-by-step?
R - C = P solve for C
Solve the equation. x/8 + 12= 16
Answer:
x=32
Step-by-step explanation:
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The value of x is 32.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 3 = 9 is an equation.
We have,
x/8 + 12 = 16
Solve for x.
x/8 + 12 = 16
Subtract 12 on both sides.
x/8 = 16 - 12
x/8 = 4
Multiply 8 on both sides.
x = 8 x 4
x = 32
Thus,
The value of x is 32.
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Kayla has a standard deck of 52 cards and a six-sided die. What is the probability that she will pull a diamond from the deck of cards and roll a 1?
Answer: 4.2%
Step-by-step explanation:
The deck has 52 cards, and a standard deck has 13 cards of each type, so there are 13 diamond cards.
Then the probability of drawing a random card that is a diamond card is equal to the number of diamonds card divided by the total number of cards:
p1 = 13/52 = 0.25
now, for the dice we have that the dice has 6 sides, but only one side has a 1, so the probability is;
p2 = 1/6 = 0.167
Now, the probability of both events happening at the same time, is equal to the product of both probabilities is:
P = p1*p2 = 0.25*0.167 = 0.042
So the probability is 0.042*100% = 4.2%
8x^2+23=823
whats going to be the answer I got 0 am I right?
Write whether the fraction is closest to 0,1/2,or 1 . IF you have TIME ,HELP ME FROM 9 - 14 , i will really appreciate it .
In mathematics, you can identify whether each number (9 to 14) as a fraction (with 1 as the denominator) is closest to 0, 1/2, or 1 by comparison. For instance, 9/1 is closest to 1 since it's greater than 1.
Explanation:In the context of mathematics, the task is to identify whether the fraction is closest to 0, 1/2, or 1. Here's how you can do this:
Convert each of the given numbers (9, 10, 11, 12, 13, 14) into fractions by using 1 as the denominator. The number 9, for instance, would become 9/1.Determine which of the three options (0, 1/2, or 1) each fraction is closest to. A number like 9/1 is obviously closer to 1 since it's greater than 1.This process can be applied to each of the numbers provided. Remember that in mathematics, the concept of a fraction is simply a way to represent division and ratio.
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What is 22% of 50???????????
Fifteen is no more than a number t divided by 5.
The value of the variable t is greater than or equal to 3.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
Fifteen is no more than a number t divided by 5 will be given in the mathematical form. Then the inequality is given as,
15 ≤ 5t
t ≥ 15 / 5
t ≥ 3
The value of the variable t is greater than or equal to 3.
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Any ideas please help thank you
what is an example of 96 divided by 6 using distributive property
break 96 into multiples of 6
96 = 60 +30 +6
60/6 =10
30/6 = 5
6/6 =1
10+5+1 = 16
so 96/6 = 16
which is the characteristic of a line
A line is a straight, infinite, one-dimensional entity with no thickness or endpoints. It can be represented mathematically, intersects at points or can be parallel to other lines.
Given that,
To find the characteristic of a line.
Now, A line is a fundamental geometric concept characterized by several key properties.
Firstly, it is straight and extends infinitely in both directions.
Secondly, it has no thickness, meaning it is one-dimensional and can be represented by a mathematical equation or equation system.
Thirdly, any two points on a line can be connected to form a segment, making it possible to measure distances along the line.
Now, Additionally, a line has no endpoints, which distinguishes it from a line segment.
Lastly, lines can intersect each other at a single point or be parallel, maintaining a constant distance from one another throughout their lengths.
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there are 270 sixth grade students and 45 chaperones going on a field trip. How many students will be with each chaperone if the groups are divided equally?