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Fantom [35]
3 years ago
14

Lester's Cafe offers two kinds of espresso: single-shot and double-shot. Yesterday afternoon, the cafe sold 80 espressos in all,

80% of which were single-shot. How many single-shot espressos did the cafe sell?
Mathematics
2 answers:
butalik [34]3 years ago
8 0

Answer:

64

Step-by-step explanation:

80% of 80 were single-shots

80/100 × 80

64

bogdanovich [222]3 years ago
7 0

Answer:

64 single-shot espressos

Step-by-step explanation:

Let's say that the cafe sold x single-shot espressos. The total number of espressos sold was 80, and 80% of that total 80 were single-shot. So, we have the equation:

x = 80% * 80

Remember that % just means "out of 100". So, 80% = 80/100:

x = (80/100) * 80 = 6400/100 = 64 single-shot espressos

Hope this helps!

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Write the expansion of each binomial. (x-y)^4
TEA [102]
When you expand the binomial, you isolate each of the parts.
So, (x-y)^4 would turn into...

x^4 - y^4

The powers stay the same because (outside the parenthesis) you multiply them with whatever is inside the parenthesis. In this case, would be 1. All variables and numbers without a listed power have a power of one. Multiply 4*1 to get 4. 
4 0
3 years ago
Which expression can be written as k square root 3 where k is an integer
Damm [24]

Answer:

A simple expression is \sqrt{48} = 4\sqrt{3}

Step-by-step explanation:

Surds are irrational numbers expressed with respect to a square root. There are some basic rules required when dealing with surd.

Integers are numbers that do not have a decimal or fractional part i.e whole numbers. So, a simple expression that can be written as k square root 3 where k is an integer is \sqrt{48}.

So that,

                            \sqrt{48} = \sqrt{16 * 3}

                                   = 4\sqrt{3}

8 0
3 years ago
Please help me with this
timama [110]

Answer:

choice 1

Step-by-step explanation:

angle 1 = angle 7 (exterior alternate angle)

angle 3=angle 5 (interior alternate angle)

3 0
2 years ago
What is the solution to the system of equations below? -4x+6y=-18 and y=-2x+21
Verdich [7]

Answer:

x=9 and y=3

Step-by-step explanation:

Let's solve your system by substitution.

−4x+6y=−18 and y=−2x+21

Rewrite equations:

y=−2x+21;−4x+6y=−18

Step: Solve  y=−2x+21for y:

y=−2x+21

Step: Substitute−2x+21foryin−4x+6y=−18:

−4x+6y=−18

−4x+6(−2x+21)=−18

−16x+126=−18(Simplify both sides of the equation)

−16x+126+−126=−18+−126(Add -126 to both sides)

−16x=−144

−16x

−16

=

−144

−16

(Divide both sides by -16)

x=9

Step: Substitute9forxiny=−2x+21:

y=−2x+21

y=(−2)(9)+21

y=3(Simplify both sides of the equation)

Answer:

x=9 and y=3

3 0
3 years ago
Se tiene que elaborar un cartel de forma triangular, uno de los lados debe medir 30 cm y el otro
Marianna [84]

La medida aproximada del lado faltante según el teorema de desigualdad de triángulos es:

  • más de 12 cm y menos de 48 cm

De acuerdo con el teorema de la desigualdad del triángulo que establece que;

La suma de la longitud de 2 lados cualesquiera de un triángulo debe ser mayor que el tercer lado.

Dado que :

a = 30 cm; b = 18 cm; c =?

Basado en el teorema de la desigualdad del triángulo;

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Por lo tanto, el lado faltante debe ser menor que 48 y mayor que 12.

Más información: brainly.com/question/18345497?referrer=searchResults

7 0
2 years ago
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