Fiona is serving iced tea and lemonade at a picnic. She has only 44 glasses in which to serve the drinks. If x represents the number of glasses of iced tea and y represents the number of glasses of lemonade, which equation represents the number of glasses of ice tea she can serve?

x minus y equals 44
44 plus y equals x
y minus x equals 44

Answer:

x = -2/3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

-12x = 8

Step 2: Solve for x

Answer:

Choice A

Step-by-step explanation:

A = 1/2 (b1+b2)h

Multiply each side by 2

2A =  (b1+b2)h

Divide each side by (b1+b2)

2A/ ((b1+b2) = h

Answer:

A

Step-by-step explanation:

We have to isolate h on one side.

First, we remove the 1/2 multiplying by H by multiplying both sides by 2

Which results with:

2A = h(b1+b2)

next we have to get rid of (b1+b2) by

dividing both sides by (b1+b2)

2A/(b1+b2)=h

Answer:

1) selling price is $62.50 and 2) total cost would be $66.25

Step-by-step explanation:

Answer:

Let M = Maggie's age

B = Brother's age

Then  M + B = 32

B = 2M - 7        

Then   M + 2M - 7 = 32

3M= 39 = 13

M= 13

Maggie is 13.

Step-by-step explanation:

Brainly?

Answer:

option a

hope helps you

have a nice day

Answer:1,364

Step-by-step explanation: I did the assignment

Answer:

1) c. Use only appliances to do the most important task in the house.

2) b. 112kwh

3) b. 111kwh

Step-by-step explanation:

Energy can be defined as the ability (capacity) to do work and it's measured in Joules. The various forms of energy are solar energy, chemical energy, thermal energy, wind energy, nuclear energy, electrical energy, etc.

Power can be defined as the energy required to do work per unit time.

Mathematically, it is given by the formula;

[tex] Power = \frac {Energy}{time} [/tex]

Energy consumption is the total amount of power used by an electronic device per unit time and it's measured in Watt-hour or Kilowatt-hour.

Mathematically, it is given by the formula;

[tex] Energy = power * time [/tex]

Generally, the most economic way to lessen electric consumption is by ensuring only the important electrical appliances are used at all times.

2. Given the following data;

Previous reading = 2156 KWh

Present reading = 2268 KWh

To find how many kilowatt-hour was consumed;

Energy consumption = present reading - previous reading

Energy consumption = 2268 - 2156

Energy consumption = 112 KWh

3. Given the following data;

Previous reading = 5512 KWh

Present reading = 5623 KWh

To find the electrical consumption of Falogme Family;

Electrical consumption = present reading - previous reading

Electrical consumption = 5623 - 5512

Electrical consumption = 111 KWh

Answer:A. 32 F

Step-by-step explanation:

im correct if I'm rwong

Answer:

If we have a figure translated, all the points are translated by the same amount. So, to find the translation, we can look at a single vertex of one of the figures and see how many units it moved in each axis.

a)  Let's look at points B and B'.

B = (-3, 4)

B' = (-1, 3)

The translation will be given by:

B' - B

(-1, 3) - (-3, 4) = (-1 -(-3), 3 - 4) = (1 + 3, -1) = (2, - 1)

Then, each point (x, y) in the original figure, is translated to (x + 2, y - 1)

Then the correct point is C.

b) Let's look at points B and B' again.

We can see that:

B = (1, 6)

B' = (6, -2)

Again, the translation is given by:

B' - B

(6, -2) - (1, 6) = (6 - 1, -2 - 6) = (5, - 8)

Then, any point (x, y) in the original figure, is translated to (x + 5, y - 8)

Then the correct option is C

Answer:

10/11×99=90

Step-by-step explanation:

10/11×99=90

20/20×99=99

12/7×99=169 5/7

16/15×99=105 3/5

Answer:

90, 99, 5/7, 3/5

Step-by-step explanation:

hope it helps!

Answer:

137

Step-by-step explanation:

The number of ways we can choose three different numbers in order for a unique code for this case is 2730

A combination is a technique to determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

We can use combinations for this case,

Total number of distinguishable things is m.

Out of those m things, k things are to be chosen such that their order doesn't matter.

This can be done in total number of ways,

⇒ [tex]^{m} C_{k} =[/tex] m! / (m - k)! k!

If the order matters, then each of those choice of k distinct items would be permuted k! times.

So, total number of choices in that case would be:

⇒ [tex]^{m} P_{k} =[/tex] m! / (m - k)!

This is called permutation of k items chosen out of m items (all distinct).

Given that:

The considered lock as a 3 number code

There are 15 numbers available.

None of the number can repeat.

In a lock, the order of the way numbers are arranged matters.

Because of no repetition allowed, we can simulate this situation as:

The number of ways we can choose 3 numbers out of 15 numbers with order = The number of different ways we can choose three different numbers in order for a unique code.

And we have:

The number of ways we can choose 3 numbers out of 15 numbers with order is,

⇒  [tex]^{m} P_{k} =[/tex] m! / (m - k)!

⇒  [tex]^{15} P_{3} =[/tex] 15! / (15 - 3)!

            = 15! / 12!

            = 2730

Thus, The number of ways we can choose three different numbers in order for a unique code for this case is 2730

Learn more about combinations and permutations here:

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9514 1404 393

Answer:

  RT = 75 yards

Step-by-step explanation:

Triangle TCB is congruent to triangle TCR by ASA. (Side TC is between angles T and C.)

Then RT = BT = 75 yards.

Answer:

Reflection across the x-axis.

Answer:

Pretty sure its coefficient

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given Equation:

x^3- 4x^2 + 2x+ 10 = x^2 - 5x-3

which simplifies to

x^3- 5x^2 + 7x+ 13 = 0

Given one of the roots is x = 3x+2i, the conjugate is therefore x = 3-2i.

The product is real, (x-3+2i)(x-3-2i) = x^2-6x+13

The other root can therefore be obtained by long division

(x^3- 5x^2 + 7x+ 13)/(x^2-6x+13) = x+1, or x=-1

Therefore the three roots are:

{x=3-2i, x=3+2i, x=-1 }

Answer:

98 cats and 19 dogs

Step-by-step explanation:

cat = c

dog = d

The animal shelter currently has a total of 117 animals

c + d = 117

c = 117 - d

the number of cats is 3 more than 5 times the number of dogs

c = 3 + 5d

subtitute c

117 - d = 3 + 5d

117 - 3 = 5d + d

114 = 6d

6d = 114

d = 114/6 = 19

so, the cat is 117-19 = 98

Given:

The system of equations is:

[tex]-4g-15h=-17[/tex]

[tex]-g+5h=13[/tex]

To find:

The correct statement that explains the solution process.

Solution:

We have,

[tex]-4g-15h=-17[/tex]

[tex]-g+5h=13[/tex]

To eliminate the variable g, we need same coefficients of g having opposite signs.

The coefficient of g in first equation is -4 and the coefficient of g in bottom equation is -1. If we multiply the bottom equation by -4, then we get 4 as a coefficient of g.

[tex]4g-20h=-52[/tex]               [(i)×(-4)]

After that we can add both equation to eliminate the variable g and then we can solve to h.

She can multiply the bottom equation by -4 and then add the equations to solve for h.

Therefore, the correct option is A.

Answer:

Its option A

Step-by-step explanation:

Answer:

2x²√13

Step-by-step explanation:

√52x⁴ = √4×13×x⁴ = 2x²√13

Answer:

Perimeter you add up all the sides.  If it is a horizontal or vertical line, you just write those values for the side lengths.  For the slanted one, I would use pythagorean theorem to solve it.

Step-by-step explanation:

If we make a right triangle using vertical and horizontal lines. We will find that a = 6, and b = 12.  Find the square root of the sum of a squared plus b squared.  That will tell you C.  Then add C to the other 3 sides and that will give you the perimeter.

Answer:

y-4=7(x-1)

Step-by-step explanation:

y-y1=m(x-x1)

y-4=7(x-1)

The equation of the line with a slope of 7, passing through the point (1,4), in point-slope form is y = 7x - 3.

To write the equation of a line in point-slope form, we use the formula:

y - y₁ = m(x - x₁)

where m represents the slope of the line and (x₁, y₁) represents the coordinates of a point on the line.

In this case, the given slope is 7 and the point (1,4) lies on the line. Plugging in the values into the formula, we have:

y - 4 = 7(x - 1)

Simplifying the equation, we can distribute the 7:

y - 4 = 7x - 7

To isolate y, we can add 4 to both sides of the equation:

y = 7x - 7 + 4

y = 7x - 3

To learn more about point slope form click on,

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Answer:

Volume of a cone= [tex]\frac{1}{3} \pi r^{2}h[/tex]

=[tex]\frac{1}{3}[/tex]×[tex]\frac{22}{7}[/tex]×144×8

=[tex]\frac{22}{21}[/tex]×144×8

=1206.86[tex]cm^{2}[/tex]

Step-by-step explanation:

Answer:

6 x 8 = 48

Step-by-step explanation:

An educated guess.

Answer:

x < 7

Step-by-step explanation:

the domain is the number range or interval of x the function is defined for to generate a y-value.

the graph shows that the y-values continue with x-values to the right up to but not including 7 (the empty dot says "excluding"). and with x- values to the left to negative infinity.

x=-1 is not a problem, because while for the left part of the function it is not included, but for the right part it is.

so, it is fully defined for all x < 7.

Answer:

1153.5 miles (first answer choice)

Step-by-step explanation:

'1000 miles east' is the change in x ('the run'), and '575 miles south' is the change in x (the 'rise').  Since these two vectors form a right angle, we can immediately apply the Pythagorean Theorem without worrying about signs:

d = √(1000² + 575²) = 1153.5 miles (first answer choice)

Answer:

t = 100 + 15x

= 140 guests

Step-by-step explanation:

Rent for banquet room = $100

Dinner per guest = $15

Let

x = number of guests

Total cost = Rent for banquet room + (Dinner per guest * number of guests

Total cost, t = 100 + 15x

How many guests attend if the total cost of an event is $2200?

t = 100 + 15x

2,200 = 100 + 15x

2200 - 100 = 15x

2,100 = 15x

x = 2,100/15

x = 140 guests

x = number of guests = 140 guests

Answer:

<H = 40

Step-by-step explanation:

Complementary angles add to 90 degrees

2x+10 + x+20 = 90

Combine like terms

3x+30 = 90

Subtract 30

3x+30 -30 = 90-30

3x = 60

Divide by 3

3x/3 = 60/3

x = 20

<H = x+20 = 20+20 = 40

Answer:

[tex]{ \bf{2y = 14x + 21}}[/tex]

Answer:

Step-by-step explanation:

1)3/5

2)0.4

3)0.04

4)94/100 or 47/50

5)1-(0.4+0.35)=0.25->probality of taking a blue ball

0.35+0.25=0.6->probality of taking blue/red ball

6)a)0.01+0.03=0.04

b)1-0.01=0.99

7)a)0.5 b)0.3

8) a-i)0.3+0.25+0.2+0.2+0.1=1.05 probality should be <1

ii)0.05

b)0.45

ii)0.75

iii)0.2

Answer:

La madre hizo en total 2 y 3/8 litros de jugo.

Step-by-step explanation:

Sabemos que preparó:

3/4 litros de jugo de frutilla = 3/4 L

1 y 1/2 litro de jugo de manzana = (1 + 1/2) L  

1/8 litro de jugo de limón = 1/8 L  

1 y 1/2 litro de agua = (1 + 1/2) L  

¿Cuántos litros de jugo preparó la mamá?

Simplemente debemos sumar los distintos volúmenes de jugo escritos arriba (el de agua no, pues solo nos pregunta cuantos litros de jugo se prepararon)

Total de jugo = 3/4 L +  (1 + 1/2) L  + 1/8 L  

Para completar esta suma, separamos los números enteros de los racionales:

Total de jugo = 1 L + ( 3/4 + 1/2 + 1/8) L

Para resolver la suma dentro del paréntesis, debemos tener todos los números con el mismo denominador.

Recordar que si multiplicamos el numerador y el denominador por el mismo número, entonces el número racional no cambia.

Como el denominador más grande dentro del paréntesis es 8 (que tambien es multiplo de los otros dos), tratemos de reescribir los otros dos números de tal forma que su denominador también sea 8:

Total de jugo = 1 L + ( (2/2)*(3/4) +(4/4)*(1/2) + 1/8) L

                       = 1 L + (6/8 + 4/8 + 1/8) L

                       = 1 L + (11/8) L

podemos reescribir el segundo termino como:  

                        = 1L + (8 + 3)/8 L

                        = 1L + (8/8) L + (3/8) L

                         = 1L + 1L + 3/8 L

                          = 2L + 3/8 L

La madre hizo en total 2 y 3/8 litros de jugo.

Answer:

55

Step-by-step explanation:

Let me know if I'm right or wrong :)