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2 years ago

Five friends went to the zoo.

Mathematics

1 answer:

kakasveta [241]2 years ago

3 0

Answer:

B . 10.50

Why ? Because 8.50+3.50=12 , Then 12 × 5 = 60 , 2.50×3=7.5 , 60-7.5= 52.5 . divide 52.5 by 5 = 10.50 . So each friend paid 10.50

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Solve the following <img src="https://tex.z-dn.net/?f=5x-2%3D%20-9x%2B8" id="TexFormula1" title="5x-2= -9x+8" alt="5x-2= -9x+

OLEGan [10]

Answer:

5x - 2 = (-9x) + 8

5x + 9x = 8 + 2

14 x = 10

x = 10 / 14

x = 5/7

6 0

2 years ago

Read 2 more answers

For the figures below, assume they are made of semicircles, quarter circles and squares. For each shape, find the area and perim

ICE Princess25 [194]

Answer:

Part a) The area of the figure is $\frac{9}{2}(4+\pi )\ cm^{2}$

Part b) The perimeter of the figure is $3(2+2\sqrt{2}+ \pi)\ cm$

Step-by-step explanation:

Step 1

Find the area of the figure

In this problem we have that

The figure ABC is the half of a square and the other figure is a semicircle

Find the area of the figure ABC

we have

$AB=6\ cm, BC=6\ cm$

The area of the half square ABC is equal to find the area of triangle ABC

$A1=\frac{1}{2}*6*6=18\ cm^{2}$

Find the area of the semicircle

The area of the semicircle is equal to

$A2=\pi r^{2}/2$

we have that

$r=6/2=3\ cm$

substitute

$A2=\pi (3)^{2}/2$

$A2=(9/2) \pi\ cm^{2}$

The area of the figure is equal to

$18\ cm^{2}+(9/2) \pi\ cm^{2}= \frac{9}{2}(4+\pi )\ cm^{2}$

Step 2

Find the perimeter of the figure

The perimeter of the figure is equal to

$P=AB+AC+length\ CB$

we have

$AB=6\ cm$

Applying Pythagoras theorem

$AC=\sqrt{6^{2}+6^{2}}\\AC=6\sqrt{2}\ cm$

Remember that

the circumference of a semicircle is equal to

$C=\frac{1}{2}2\pi r=\pi r$

$r=6/2=3\ cm$

$C=\pi(3)$

$C=3 \pi\ cm$

The perimeter of the figure is equal to

$P=6\ cm+6\sqrt{2}\ cm+3 \pi\ cm$

Simplify

$P=3(2+2\sqrt{2}+ \pi)\ cm$

5 0

3 years ago

The Academic Computing Center has five trainers available in its computer labs to provide training sessions to students. Assume

kondor19780726 [428]

Answer:

87.72%

Step-by-step explanation:

Data provided in the question:

Design capacity of the system = 1900 students per semester

Effective capacity = 90% of design capacity

Actual number of students = 1500

Now,

Efficiency = [ [ Actual capacity ] ÷ [ Effective capacity ] ] × 100%

also,

Effective capacity = 90% of 1900

= 0.90 × 1900

= 1710

Efficiency = [ 1500 ÷ 1710 ] × 100%

= 0.8772 × 100%

= 87.72%

7 0

3 years ago

5x=15 y 2x=6 Son ecuaciones equivalentes? PORFAVOR AYÚDENME ES EMERGENCIA

mihalych1998 [28]

Si, los dos son iguales

Cuando haces 5x=15, la división dice que x = 3. Para 2x=6 puedes usar el resultado de x=3 de la problema de antes, y cuando te usas esto va a ver que 2 de x cuando x=3 es igual a 6, y por eso 5x=15 y 2x=6 son equivalentes.

5 0

3 years ago

Classify the following polynomial function, −3x(x2−4)(2x2+5)based on degree and number of terms.

Free_Kalibri [48]

Answer:

Quintic Trinomial (2nd option)

Step-by-step explanation:

We know that this is a quintic polynomial because the degrees add up to 5. If we expand the polynomial, we have $-3x(x^2-4)(2x^2+5)=(-3x^3-12x)(2x^2+5)=-6x^5-45x^3-24x^3-60x=-6x^5-69x^3-60x$

So, there are 3 terms, which is a trinomial.

5 0

2 years ago