Caleb had to share 3 1/4 boxes of supplies with his 12 classmates. So, the fraction of each student receives 13/48 of a box of supplies.
To find out what fraction of a box each student receives, we need to divide the total number of boxes (3 1/4 boxes) by the number of students (12 classmates).
Step 1: Convert 3 1/4 to an improper fraction.
3 1/4 = (4 × 3 + 1) / 4 = 13/4
Step 2: Divide the total number of boxes by the number of students.
Fraction of a box per student = (Total boxes) / (Number of students)
Fraction of a box per student = 13/4 ÷ 12
Step 3: To divide a fraction by a whole number, we multiply the fraction by the reciprocal of the whole number (flipping the fraction).
Fraction of a box per student = 13/4 × 1/12
Step 4: Simplify the fraction if possible.
Fraction of a box per student = 13/4 × 1/12 = 13/48
So, each student receives 13/48 of a box of supplies.
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Which of the following sets include all rational numbers?
It's the Second one and the third one
Step-by-step explanation:
Pie is irrational so you can easily cross it off and it leads to to the second one and the third one
Under certain conditions the pressure of a gas varies directly with the temperature. When the pressure is 900 psi, the temperature is 350. What is the pressure when the temperature is 70?
Answer:
180psi
Step-by-step explanation:
Step one:
given data
P1= 900 psi
T1= 350°C
P2=?
T2=70°C
Required
The final pressure P2
Gay-Lussac's Law: The Pressure Temperature Law. This law states that the pressure of a given amount of gas held at constant volume is directly proportional to the Kelvin temperature. With an increase in temperature, the pressure will go up
Applying the expression
P1/T1= P2/T2
substitute:
900/350= P2/70
2.57=P2/70
cross multiply
P2= 2.57*70
P2=180psi
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which is an equation for the line passing through the points (-3,3) and (6,9)
Answer:
y=2/3x +5
hope this helps
Answer:
[tex] \red{ \boxed{ \bold{2x - 3y + 15=0}}}[/tex]
Explanation
[tex] slope \:of \:the\: required\:\: line \implies\\\frac{9-6}{6-(-3)}=\frac{6}{9} [/tex]
[tex] equation \:of \:the\: required\:\: line\implies\:\\y - 3 = \frac{6}{9} (x + 3)[/tex]
[tex] \implies \: 9y - 27 = 6x + 18[/tex]
[tex] \implies \: 6x - 9y + 45=0[/tex]
[tex] \implies\:2x-3y+15=0[/tex]
Hence the equation of the line is
[tex] \green{ \boxed{ \bold{2x - 3y + 15=0}}}[/tex]
help please i’m stuck lol
Answer:
The answer for this is x=-5
Answer:
x=-5
Step-by-step explanation:
-4x+1=21
move the 1 to the right side and subract it so it will turn into -4x=20
divide -4 to get the x by itself and then you will get x=20/-4 this will now divide and be x=-5
Pat has a fever.His temperature is 99.3F. If the conversation is Celsius is C=5/9(F-32), what is the most accurate measurement of Pat’s temperature in degrees Celsius?
Answer:
37.4
Step-by-step explanation:
The most accurate measurement of Pat’s temperature in degrees Celsius is 37.39°.
Given that, Pat has a fever of temperature is 99.3° F.
What is the conversion of Celsius to Fahrenheit?Celsius to Fahrenheit is the conversion of temperature from Celsius unit to Fahrenheit unit. Temperature scales provide a way of measuring how hot or cold a body is. Fahrenheit and Celsius are temperature scales.
The formula to convert Celsius to Fahrenheit is given by: °F = °C × (9/5) + 32.
The formula to convert Fahrenheit to Celsius is C=5/9(F-32)
Now, C= 5/9 (99.3-32)
= 5/9 × 67.3
= 37.39°
Hence, the most accurate measurement of Pat’s temperature in degrees Celsius is 37.39°.
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which is the graph of x-y=1
Compare the two linear functions.Select which has the greater rate of change and which has the greater initial value.
Answer:
Function 1 is Greater Rate of change and Function 2 is Greater inital value
Step-by-step explanation:
I know I have that question
Answer:
Function 1 = Greater Rate of change
Function 2 = is Greater initial value
Step-by-step explanation:
H E L P PLZZZ !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
138
Step-by-step explanation:
just plug in the numbers:
4*6^2 - 36/6
use pemdas
4*36 - 6 = 144-6 = 138
Answer: The answer is 138.
Step-by-step explanation: First, find 6 squared. That is 36. Multiply that by 4 to get 144. After that, find 36 divided by 6. That is 6. Finally, subtract 144 and 6.
What is the domain of this quadratic function?
Answer: its c
Step-by-step explanation:
its c
Answer:
(-∞,+∞)
Step-by-step explanation:
The function is a continuous quadratic function
distance between (-4,0) and (2,2)
PLZZPLZZ ANSWERALL THE QUESTIONS I CANT CELEBRATE CHRISTMAS IF I DONT FINISH PLZ HELP PLZZ LOOK AT THE PIC plzz
Answer:
17: Slope = -5
18: = 1/3
19: = -1/5
20: = Does not exist
21: = 1/4
22: =-2/3
Step-by-step explanation:
Please follow and mark me braibliest
happy Christmas
Find the common ratio
6.) -1, -6, -36, -216,
A.) r=5
B.) r=6
C.) r=-6
D.) r=4
Answer:
6
Step-by-step explanation:
try mulyipling each sequence by 6
I WILL GIVE BRAINLIEST TO FASTEST AND BEST ANSWER PLS HELp
Answer:
Unknown
Step-by-step explanation:
dskljgjfhgdiagljhbajfhglvibliahgviyglvaj
Answer:
The tax was too much for me
Step-by-step explanation:
Sorry, Im a noob
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zszx
Does 82.45 round up to 83?
Answer:no it does not
Step-by-step explanation:
In order for it to round up it would have to be 82.5 or higher.
Answer:
No. To round up to 83 the number has to be 82.5 or higher.
Plsssss helppp meeeeee
Answer:
First choice, 1/3
Step-by-step explanation:
If you look at 1 to A to B to 2, you would see that there are 3 gaps between them. Therefore it's out of three, A to B is only one gap distance so it's 1/3
The answer is 1/3.
- emmatannerfns
Can someone help me please
Answer:
17 inches
Step-by-step explanation:
Which ratio is equivalent to the ratio 20 to 35? 5 to 7 7 to 5 8 to 14 14 to 8
Answer: it’s 8 to 14 number c
Step-by-step explanation:
Let me know if I’m wrong
The ratio equivalent to 20 to 35 is 8 to 14.
Option C is the correct answer.
What is a ratio?The ratio shows how many times one value is contained in another value.
Example:
There are 3 apples and 2 oranges in a basket.
The ratio of apples to oranges is 3:2 or 3/2.
We have,
20 to 35
This can be written as,
= 20/35
= 5 x 4 / 5 x 7
= 4/7
Now,
5 to 7 = 5/7
7 to 5 = 7/5
8 to 14 = 8/14 = 4/7
14 to 8 = 14/8 = 7/4
Thus,
20 to 35 is the same as 8 to 14.
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Write the slope-intercept form of the equation of the line with slope= -3 that passes through the point (0, -9)
Answer:
y=-3x-9
Step-by-step explanation:
May someone help me out on this question?
Answer:
y = 2 for x < 0
x for 0 ≤ x < 3
3 for x ≥ 3
Step-by-step explanation:
From the graph attached,
Equation of line (1),
y = 2
Where x < 0
Let the equation of line (2) is,
y = mx + b
y-intercept 'b' = 0 [line (2) passes through origin]
Slope of the line 'm' = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
= [tex]\frac{3}{3}[/tex]
= 1
Therefore, equation of line (2) will be,
y = x
where 0 ≤ x < 3
Equation of line (3) will be,
y = 3
Where x ≥ 3
Therefore, piecewise linear function will be,
y = 2 for x < 0
x for 0 ≤ x < 3
3 for x ≥ 3
PLEASE HELP FAST ILL GIVE BRAINLIST MAKE SURE YOU READ IT BEFORE YOU ANSWER ITS QUESTION 18
Answer:
D. y=3x+15
Step-by-step explanation:
find the slope
[tex]\frac{1-(-5)}{-3-(-1)} =3[/tex]
y=mx+b
plug in known values
3=3(-4) + b
b=15
y=3x+15
Karen performs a transformation on parallelogram ABCD that is plotted on a coordinate grid to form parallelogram A'B'C'D'. The image of
each point is shown in the table below.
Image
Original
Point
| A(-4,-1)
B (-7,-6)
C (-14, -6)
D(-11, -1)
(1.-4)
(6.-7)
(6.-14)
(1.-11)
Which best describes the transformation Karen performed?
A.reflection over the y-axis
B.dilation of scale factor
-1/4
C.counterclockwise rotation of 90 degrees about origin
D.translation of 5 units to the right and 3 units down
Answer:
its c
Step-by-step explanation:
took the test
Karen performed a transformation of (C) counterclockwise rotation of 90 degrees about origin
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
If a point A(x, y) is rotated 90° counterclockwise about the origin, the new point is at A'(-y, x).
Parallelogram ABCD has vertices at A(-4,-1) , B (-7,-6) , C (-14, -6) , D(-11, -1), if it is rotated 90° counterclockwise about the origin, the new point would be at A'(1.-4) , B'(6.-7), C'(6.-14) , D'(1.-11)
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Rita runs 3 miles in 25 minutes. At the same rate, how many miles would she run in 20 minutes?
Answer:
2.4
Step-by-step explanation:
v=3/25
d=3/25 * 20=12/5=2.4
hope this help
Translate the phrase into an algebraic expression.
The product of y and 4.
Step-by-step explanation:
Product is multiplication:
4y
Find the sale price of the item. Round to two decimal places if necessary.
Original price: $80.00
Markdown: 33%
Answer:
24$
Step-by-step explanation:
NEED HELP ASAP!
Tank A contains 35 gallons of water and is increasing at a rate of 5 gallons per minute. TankB
contains 100 gallons of water and is decreasing at a rate of 8 gallons per minute. In how
many minutes will the tanks contain the same amount of water? How much water will
that be?
9514 1404 393
Answer:
5 minutes; 60 gallons
Step-by-step explanation:
The volume in tank A is initially 35 gallons. Its rate of change is 5 gallons per minute. The equation for volume can be written as ...
y = 35 +5x . . . . . . where y is gallons, and x is minutes
The volume in tank B is initially 100 gallons. Its rate of change is -8 gallons per minute. The equation for volume can be written as ...
y = 100 -8x
We want to find the values of x and y such that both are the same for both tanks.
35 +5x = y = 100 -8x
13x = 65 . . . . . . . . add 8x-65 to both sides of the equation
x = 5
y = 100 -8·5 = 60
Both tanks will hold 60 gallons after 5 minutes.
need helpppp i have no idea what to do
Answer:
Line 1 and Line 2: Perpendicular
Line 1 and Line 3: Neither
Line 2 and Line 3: Neither
Step-by-step explanation:
We will write all lines in slope intercept form i.e [tex]y=mx+b[/tex]
where m is slope.
And check
a) If two lines are parallel they have same slope [tex]m_1=m_2[/tex]
b) If two lines are perpendicular they have opposite reciprocal slopes i.e [tex]m_1=-\frac{1}{m_2}[/tex]
Equation for Line 1: [tex]y=-\frac{4}{3}x-4[/tex]
Already in slope-intercept form
Slope for Line 1 m is: [tex]\mathbf{m_1=-\frac{4}{3}}[/tex]
Equation for Line 2: [tex]6x-8y=-6[/tex]
Converting into slope-intercept form:
[tex]6x-8y=-6\\-8y=-6x-6\\y=\frac{-6x-6}{-8}\\y=\frac{-6x}{-8}+\frac{-6}{-8} \\y=\frac{3x}{4}+\frac{3}{4}[/tex]
Slope for Line 2 m is: [tex]\mathbf{m_2=\frac{3}{4}}[/tex]
Equation for Line 3: [tex]-4y=3x+7[/tex]
Converting into slope-intercept form:
[tex]-4y=3x+7\\y=-\frac{3}{4} -\frac{7}{4}[/tex]
Slope for Line 3 m is: [tex]\mathbf{m_3=-\frac{3}{4}}[/tex]
Now, finding answers
Line 1 and Line 2
Checking their slopes: [tex]\mathbf{m_1=-\frac{4}{3}}[/tex], [tex]\mathbf{m_2=\frac{3}{4}}[/tex]
Both lines are perpendicular because they have opposite reciprocal slopes
Line 1 and Line 3
Checking their slopes: [tex]\mathbf{m_1=-\frac{4}{3}}[/tex], [tex]\mathbf{m_3=-\frac{3}{4}}[/tex]
Slopes are neither same, nor opposite reciprocal, so they are neither
Line 2 and Line 3
Checking their slopes: [tex]\mathbf{m_2=\frac{3}{4}}[/tex], [tex]\mathbf{m_3=-\frac{3}{4}}[/tex]
Slopes are neither same, nor opposite reciprocal, so they are neither
The answers are:
Line 1 and Line 2: Perpendicular
Line 1 and Line 3: Neither
Line 2 and Line 3: Neither
when would a transformation NOT be considered rigid?
Answer:
when the plant at the end dies
The area of a rectangle is 15 square inches. What wil be the area, in square inches, of the rectangle after it is dilated by a
scale factor of 2?
Answer:
60 inches²
Step-by-step explanation:
Unit test
A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associate is $600 and the daily rate for each partner is $1200. The law firm designated twice as many associates as partners to the case and was able to charge the client $7200 per day for these lawyers' services. Graphically solve a system of equations in order to determine the number of associates assigned to the case,x, and the number partners assigned to the case, y.
what are the two equations in slope intercept form so i can graph them
Step-by-step explanation:
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