A recipe for 1 batch of cookies calls for 1/3 cup of oil. You have 3/4 cup of oil. Do you have enough oil for 2 batches of cookies? She walks 1/2 mile from her home to the bus stop. She then travels 2 miles on the city bus. In miles, how far does the bus drop her off from school?

Answer:

3 benches needed

Step-by-step explanation:

Answer:

3 benches

Step-by-step explanation:

4 people to one bench

12 people divided by 4 = 3 benches

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.

Answer:

n ≥ -4

Step-by-step explanation:

-3/4n ≤ 3

-4/3(-3/4n) ≤ 3(-4/3)

n ≥ -12/3

n ≥ -4

CHECK:

correct

-3/4(-4) ≤ 3

12/4 ≤ 3

3 = 3

correct

-3/4(5) ≤ 3

-15/4 ≤ 3

-3.75 < 3

incorrect

-3/4(1) ≤ 3

-3/4 is not ≤ 3

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!

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 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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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

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

Hope I helped :)

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Answer: 0.4 Inches

Step-by-step explanation:

Someone said it in the comments, give credit to them.

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

Answer:

not equivalent

Step-by-step explanation:

2a+11

5+9/2a

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

Answer:

$40.2 dollars

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Answer:

Bob is 0.83 ounces heavier than Fran

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

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

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.

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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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

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.

~

Answer: 1

Step-by-step explanation: -2+7=5. 5-4=1.

Answer:

1

Step-by-step explanation:

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

Answer:

answer is in picture

Step-by-step explanation:

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

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: It's 4

Step-by-step explanation: 12-8 is 4, 4-3 is 1

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

Answer:

y= 50x + 150

charge for each hour is 50

one time fee is 150

Step-by-step explanation:

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:

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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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