2x + 3y = 72 is a perfect equation to solve for the number of students and the number of teachers. y= teachers x= students.
Slope = 2; y-intercept = -1
Answer: y=2x-1
Step-by-step explanation:
In slope intercept form y=Mx+b
Mx=slope and b=intercept
Y=2x-1
The equation of line with slope m = 2 and y-intercept is -1 is given by
y = 2x - 1
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the slope of the line m = 2
Let the y intercept of the line b = -1
Now , equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
Substituting the values in the equation , we get
y = 2x - 1 be equation (1)
Therefore , the value of A is y = 2x - 1
Hence , the equation of line is y = 2x - 1
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Answer the questions using the drop-down menus.
At what type of boundary do strike-strip basins form?
At what type of boundary do wedge basins form?
At what type of boundary do rift basins form?
At what type of boundary do arc basins form?
Answer:
At what type of boundary do strike-strip basins form? transform
At what type of boundary do wedge basins form? convergent
At what type of boundary do rift basins form? divergent
At what type of boundary do arc basins form? convergent
Step-by-step explanation:
Hope this helps!
Answer:
Answer the questions using the drop-down menus.
✔ transform
At what type of boundary do wedge basins form?
✔ convergent
At what type of boundary do rift basins form?
✔ divergent
At what type of boundary do arc basins form?
✔ convergent
Step-by-step explanation:
Can someone help me with this question? Look at the image!
log4 (3x – 1) = log4 (x + 5) Solve the equation
Answer:
x = 3.
Step-by-step explanation:
log4 (3x - 1) = log4 (x + 5) Since they are both logs to the base 4:
3x - 1 = x + 5
2x = 6
x = 3.
On solving the logarithmic equation, we find that x = 3.
What are logarithmic equations?A logarithmic equation is an equation that involves the logarithm of an expression containing a variable.
[tex]log_{4}(3x-1) = log_{4}(x+5)\\\\3x-1 = x+5\\\\3x-x=5+1\\\\ 2x=6\\\\x=3[/tex]
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what is 7/9 divided by 1/3
Answer:
7/3 or 2.333333333
Step-by-step explanation:
Answer:
Answer is 2 1/3
Step-by-step explanation:
7/9 divided by 1/3 you can't divide fractions so you multiply so it would look more like:
7/9 * 1/3 = 7/3
you then divide 7 by 3 and get 2 1/3
So your answer is 2 1/3
Which numbers below are solutions to the inequality 4y+3≤−7?
Answer:
answer is in picture
Step-by-step explanation:
HELP QUICK PLS WILL GIVE BRAINLIEST
A vine called the mile-a-minute weed is known for growing at a very fast rate. It can grow up to 0.5 ft per day. How fast in inches per hour can the mile-a-minute weed grow up to? Show your work using the correct conversion factors
Answer: 0.4 Inches
Step-by-step explanation:
Someone said it in the comments, give credit to them.
Mathematical Connections Jake's solution to
the equation - 4(2x - 3) = 36 is shown.
-4(2x - 3) = 36
-8x + 12 - 36
- 8x + 12 - 12 = 36 - 12
-8x = 24
8x24
-8
X=-3
How is the solution to -4(2x - 3) > 36 similar to
and different from the solution shown?
The solution x > -3 represents all values of x that are greater than -3. On the other hand, the solution x = -3 represents a single value of x that is equal to -3.
Given that,
An equation is,
- 4(2x - 3) = 36
Here, Jake's solution to the equation - 4(2x - 3) = 36 is,
-4(2x - 3) = 36
Apply distributive property,
-8x + 12 - 36
- 8x + 12 - 12 = 36 - 12
Subtract 12 on both sides,
-8x = 24
x = - 24/8
x = - 3
So, the solution x = -3 represents a single value of x that is equal to -3.
Therefore, x > -3 represents a range of values greater than -3, while x = -3 represents a single value that is equal to -3.
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Is x^2+8x+16 a perfect square
Answer:
YES IT IS A PERFECT SQUARE
Step-by-step explanation:
equate the equation to zero
x^2+8x+16=0
c is the product while the coefficient of b is the sum
P=16
S=8
find a pair of numbers that the product is 16 and the sum is 8
the numbers are (4,4)
(x^2+4x) (4X+16)
ignore 8x and arrange as shown above
then bracket the equation
x(x+4)+4(x+4)
you simplify and remain with (x+4) (x+4)
having similar roots making it a perfect square
Simplify negative 4 over 5 ÷ 3 over negative 2.
The answer choices are:
negative 8 over 15
negative 6 over 5
6 over 5
8 over 15
Answer: 8/15
Step-by-step explanation:
(-4/5) divided by (-3/2) becomes (-4/5) x (-2/3) because when dividing fractions, change it to multiplication and flip the divider (in this case -3/2)
Multiply numerators to get 8 and denominators to get 15 resulting in 8/15
Which set of expressions are not equivalent? (4 1/2a + 2) + 3 and 5 + 4 1/2 a
Answer:
not equivalent
Step-by-step explanation:
2a+11
5+9/2a
List the names and measures for pairs of alternate Interior angles. Group them together. Then list the names and measures for pairs of alternate
exterior angles.
Answer:
The two pairs of alternate interior angles are CHG and HGB and DHG and HGA.
mCHG = mHGB = 48.81°
mDHG = mHGA = 131.19°
The two pairs of alternate exterior angles are EHC and BGF and EHD and AGF.
mEHC = mBGF = 131.19°
mEHD = mAGF = 48.81°
Step-by-step explanation:
STRAIHGT FROM PLATO BOOOOIIIIII
Hannah has 2 hamsters named Bob and Fran. Bob weighs 3.62
ounces, and Fran weighs 2.79 ounces. How much heavier is Bob
than Fran?
Answer:
Bob is 0.83 ounces heavier than Fran
This table displays the amount of water in a bathtub as it is being drained.
A 2-column table with 4 rows. Column 1 is labeled Time (minutes) with entries 7, 8, 9, 10. Column 2 is labeled Water (gallons) with entries 38.5, 36.25, 34, 31.75.
Use the table to interpret the rate of change.
What is the rate of change for the relationship?
Answer:
i know its late but its -2.25 if you still need it
Step-by-step explanation:
just did it on edge
The rate of change for the relationship, given the data, is -2.25 gallon/min
What is velocity?Velocity is simply defined as the rate of change of displacement with time. Mathematically, it can be expressed as:
Velocity = displacement / time
With the above idea in mind, we can obtain the rate of change for the given relationship.
How do determine the rate of change?Column 1 i.e time (min) = 7, 8, 9, 10.
Column 2 i.e Water (gallons) = 38.5, 36.25, 34, 31.75.
What is the formula for the Rate of change?Rate = Change in gallon/change in time
Rate = (36.25 - 38.5) / (8 -7)
Rate = -2.25 / 1
Rate of change = -2.25 gallon/min
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Sandy bought a car for $17,500. Her monthly car payment is $346. The first month the amount applied to the principal is $283 and the interest amount is $63 Assume that each month the amount applied to the principal increases by $1 and the interest amount decrease by $1 Which spreadsheet shows the amount of interest she paid in the six months?
Answer:
I'm not quite sure how to point to which graph exactly, but I will tell you that it is the one that principal increases by one for six months, and interest decreases. It has "Month, Principal, Interest, and Total" written across the top in bold. Down the left-hand side, it has numbers 1-6. On the bottom, the first total is $363, and the second is $2076.
Step-by-step explanation:
There is very limited math involved in this question. The first step is to find a graph where each month, the principal number increases by one dollar and the interest decreases by one dollar. This should go on for six months. We can now eliminate two graphs. For a third, you must remember that the interest starts in the sixty, and the principal payment is in the two hundred eighties. By now, we have our graph. The final step to double-check this is to add up the total interest and principal (which should be on the side). All totals should be $346 as we're basically just trading one number for another (-1+1). You should also go to the bottom and fill in the blank in the principal column. In this box, you should put the total of all principals together.
Hope this helps!
please dont answer with anything bad :((( extremely need help
Answer:
120°
Step-by-step explanation:
A line must add up to 180°.
The sum of angles in a triangle also adds up to 180°.
Step 1: Find measures interior angles.
3x = 180
x = 60°
Step 2: Find measures of exterior angels.
x + 60 = 180
x = 120°
Answer:
120°
Step-by-step explanation:
The sum of all interior angles is found using (n - 2)180
n is the amount of angles inside the polygon (in this case, 3). Plug in 3 for n:
(3 - 2)180 = (1)(180) = 180
There are 3 sides in a triangle. Divide the total (180) with 3:
180/3 = 60
Next, Subtract 60 from 180:
180 - 60 = 120
120 is your exterior angle.
120° is your answer.
~
Bob works as a plumber. He charges $45.00 for the first hour and $33.75 for each additional hour. Bob was paid $247.50 for his last job
How many hours did Bob work on his last job?
Answer:
7 hours
Step-by-step explanation:
$247.50 - $45.00 (how much he charges for the first hour) = $202.50
$202.50 ÷ $33.75 (how much he charges for the additional hours) = 6 hours
But he charges 45 dollars for the first hour so he 7 hours in total
slope=?
please help
Answer: It's 4
Step-by-step explanation: 12-8 is 4, 4-3 is 1
PLEASE ANSWER IM TIMED Use the graph above to write down an equation and fill out the table. Identify the charge for each hour of work and the one-time fee
Answer:
y= 50x + 150
charge for each hour is 50
one time fee is 150
Step-by-step explanation:
help please thank you
Mary did the following problem.
57 - 6^2 + (10 + 2)
57 - 6^2 + 12
57 - 36 + 12
57 - 48
9
Which of the statements is true?
It is wrong because 6^2 is 12.
It is correct.
It is wrong because the subtraction should have been done before the addition.
It is wrong because 57 - 48 is 11
Answer:
its C
Step-by-step explanation:
i got this right on my quiz
Answer: it's wrong because subtraction comes before addition
Step-by-step explanation:
in the order of operations, there is PEMDAS
parentheses
exponents
multiplication
addition
subtraction
from multiplication to subtraction it does not matter which one you do first as long as you solve left to right so...
57-36+48
moving left to right you would do 57-36 first
Jon caught four fish that weighed a total of 276 pounds. The kingfish weighed twice as much as the amberjack and the white marlin weighed twice as much as the kingfish. The weight of the tarpon was 5 times the weight of the amberjack.
How much did each fish weigh?
Answer:
amberjack 21 pounds
kingfish 42 pounds
marlin 84 pounds
tarpon 105 pounds
Step-by-step explanation:
The weight of the fish is given below,
The weight of the Kingfish is 20 pounds.The weight of the amberjack fish is 40 pounds.The weight of the white marlin fish is 10 pounds.The weight of the tarpon fish is 200 pounds.What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
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.
Given that Jon caught four fish that weighed a total of 276 pounds. The kingfish weighed twice as much as the amberjack and the white marlin weighed twice as much as the kingfish. The weight of the tarpon was 5 times the weight of the amberjack.
The equation can be written as,
KF+A+W+T=276
Other relations are,
KF = A / 2
W = A /4
T = 5A
Substitute all the values in the above equation and solve for A.
KF+A+W+T=276
A / 2 + A + A / 4 + 5A = 276
2A + 4A +A +20A = 276 x 4
27A = 1104
A = 40 pounds
kingfish = KF = A / 2 = 20 pounds
White marlin = W = A / 4 = 10 pounds
Tarpon = T = 5A = 200 pounds
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Tom es el gerente del departamento de delicatessen en una tienda de comestibles. Debe programar que los empleados trabajen en el departamento durante al menos 260 horas a la semana. Tom tiene un empleado a tiempo parcial que trabaja 20 horas a la semana. Cada empleado a tiempo completo trabaja 40 horas a la semana. Escriba una desigualdad para determinar nnn, el número de empleados a tiempo completo que Tom debe programar para que sus empleados trabajen al menos 260 horas a la semana.
Answer:
La desigualdad para determinar el número de empleados a tiempo completo que Tom debe programar para que sus empleados trabajen al menos 260 horas a la semana es 20+40*n ≥ 260. Resolviendo al menos 6 empleados deben trabajar a tiempo completo.
Step-by-step explanation:
Una inecuación es una desigualdad entre letras (incógnitas) y números relacionados por operaciones aritméticas. Su conjunto solución es el conjunto de números reales que la satisfacen. En una desigualdad, dos expresiones algebraicas están conectadas a través de los signos: mayor que >, menor que <, menor o igual que ≤ y mayor o igual que ≥.
Tom tiene un empleado a tiempo parcial que trabaja 20 horas a la semana. Cada empleado a tiempo completo trabaja 40 horas a la semana. Tom debe programar para que sus empleados trabajen al menos 260 horas a la semana.
Sabiendo que x representa la cantidad de trabajadores a medio tiempo y n la cantidad de trabajadores a tiempo completo, entonces 20*x+40*n representa la cantidad de horas que todos los empleados trabajan semanalmente. Si los empleados trabajen al menos 260 horas a la semana, esto significa que la cantidad de horas que todos los empleados trabajan a la semana debe ser mayor o igual a 260 horas. Entonces:
20*x+40*n ≥ 260
Si Tom tiene un empleado a tiempo parcial, entonces la cantidad de trabajadores a medio tiempo x debe tener un valor de 1. Entonces:
20*1+40*n ≥ 260
20+40*n ≥ 260
40*n ≥ 260 -20
40*n ≥ 240
n ≥ 240 ÷40
n ≥ 6
Entonces 6 empleados o más deben trabajar a tiempo completo.
Jim drove 756 miles in 12 hours.
At the same rate, how many miles would he drive in 7 hours?
Answer:
441
Step-by-step explanation:
Use a proportion.
756 miles is to 12 hours as x miles is to 7 hours
756/12 = x/7
12x = 7 * 756
12x = 5292
x = 441
Answer: 441 miles
Answer:
441
Step-by-step explanation:
756 divided by 12 = 63
Jim drives 63 miles in 1 hour
Multiply 63 by 7
63 ⋅ 7 = 441
Jim will drive 441 miles in 7 hours
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This is probably easy, but please help me
Keith has 500 in his bank account. He earns $25 per week. He wants to have at least $740 in his Account at the end of the summer. How many weeks Miss Keith work?
Answer:
9 more weeks
Step-by-step explanation:
because if you do 740-500 you get 240
so then i divide 240 by the money per week (25) and
get 9.6 so it is 9 weeks
If eight gallons of gasoline costs $21.44, what is the
cost for fifteen gallons of gasoline?
Equation:
Solution:
Answer:
$40.2 dollars
Please make me brainliest!
Evaluate -2 +7 +(-4).
ANSWER THIS QUESTION
Answer: 1
Step-by-step explanation: -2+7=5. 5-4=1.
Answer:
1
Step-by-step explanation:
Help! I already tried -6.6/20
Answer: 0.33 or 1.32 or 6.6%
Step-by-step explanation:
Hurry someone please answer plsss
Find the midpoint of each line segment.
Answer:
2.5
Step-by-step explanation:
you can use pythag theorem and divide c by two:
-3^2+4^2=c^2
9+16= 25
c=5
however, 5/2=2.5
Find the missing angle measures
Thank you!!
Answer:
SEE BELOW
Step-by-step explanation:
INTERRIOR ANGLES
3.
∠A + ∠B + ∠C = 180
(180 - 103) + (3x - 14) + (3x + 9) = 180
6x = 180 - 77 + 14 - 9
x = 108 / 6
x = 18
m∠ACB = (3x - 14)
= 3(18) - 14
= 40
m∠ABC = (3x + 9)
= 3(18) + 9
= 63
-------------------------------
INTERRIOR ANGLES
4.
∠A + ∠B + ∠C = 180
(180 - 97) + (2x + 2) + (14x - 1) = 180
16x = 180 - 83 - 2 + 1
x = 96 / 16
x = 6
m∠BCA = 2x + 2
= 2(6) + 2
= 14
m∠ABC = 14x - 1
= 14(6) - 1
= 83
-------------------------------
EXTERIOR ANGLES
5.
∠B
180 - 15x + 20
15x = 180 + 20
x = 200/15
x = 13.33
∠C
180 - 9x + 10
9x = 190
x = 190/9
x = 21.11
∠E
180 - 17x + 2
17x = 182
x = 182/17
x = 10.706
m∠BEF = 17x + 2
= 17 (10.706) + 2
= 184
m∠ABC = 15x + 20
= 15(15.33) + 20
= 220
-------------------------------
EXTERIOR ANGLES
6.
first solve x by adding all the interior angles = 180
∠B + ∠E + ∠C = 180
2x + x + 93 = 180
3x = 180 - 93
x = 87/2
x = 43.5
m∠BEC = 360 - x
= 360 - 43.5
= 316.5
m∠ABC = 180 - 2x
= 180 - 2(43.5)
= 93
