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olasank [31]
2 years ago
10

Which of the following options have the same value as %5, percent of 35? Choose 2 answers: (Choice A) A 5*35 (Choice B) B 5/100*

35 (Choice C) C 0.5* 0.35 (Choice D) D 0.05*35 (Choice E) E 5/10*35
Mathematics
2 answers:
nasty-shy [4]2 years ago
3 0

Answer:

B and D

Step-by-step explanation:

5% of 35 can be represented as 5% \cdot35.

To find equations that make this work, we need to find different ways to represent 5%.

5% can be represented as fraction - over 100. The percentage over 100 will be equal to the percent.

So, \frac{5}{100}. Multiplying by 35 gets us \frac{5}{100}\cdot35

This means that Choice B is correct.

Another way to represent 5% is as a decimal.

We already know that the fraction form of 5% is \frac{5}{100}. This means that in the decimal, the number 5 will be two place values to the right of the decimal place.

0.<u>0</u><u>5</u>

So the decimal expansion of 5% is 0.05. Multiplyin by 35 get us 0.05\cdot35, so choice D works too.

Hope this helped!

aniked [119]2 years ago
3 0

Answer:

<h3>The answer is option D and B</h3>

Step-by-step explanation:

To find the the value of the percentage of a number divide the percentage by 100 and multiply it by the number

So we have

5 percent of 35 is written as

\frac{5}{100}  \times 35 \\  =  \frac{1}{20}  \times 35 \\  =  \frac{7}{4}

We have the answer as

1.75

From the options the one that has the same value as the above answer are

0.05 × 35 and 5/100 × 35

Hope this helps you

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After extensive measurements of the time necessary to complete the first homework assignment, a teacher determines that there is
MaRussiya [10]

Answer: -1.55

Step-by-step explanation:

Given : Mean : \mu=100

Standard deviation : \sigma=20

Sample size : n=60

Sample mean : \overline{x}=96

The test statistic for the population mean is given by :-

z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

\Rightarrow\ z=\dfrac{96-100}{\dfrac{20}{\sqrt{60}}}=-1.54919333848\approx-1.55

Hence, the value of z statistic = -1.55

4 0
2 years ago
Un globo vuela entre dos ciudades A y B, que distan entre sí 1.500 m. Los tripulantes del globo ven la ciudad A con un ángulo de
enot [183]

Answer:

La altura del globo con respecto al suelo es 449,6 metros.

Step-by-step explanation:

La afirmación está incompleta. El enunciado completo es: "Un globo vuela entre dos ciudades A y B, que distan entre sí 1.500 m. Los tripulantes del globo ven la ciudad A con un ángulo de depresión de 27°, mientras que para ver la ciudad B es de 36°. ¿Cuál es la altura aproximada del globo con respecto al suelo?

El diagrama geométrico de la situación se encuentra descrita en el archivo adjunto. La altura aproximada del globo puede obtenerse con ayuda de las funciones trigonométricas, en este caso, se recomienda utilizar la función tangente de los ángulos de depresión:

Ciudad A

\tan 27^{\circ} = \frac{h}{1500\,m-x}

0,510 = \frac{h}{1500\,m-x}

Ciudad B

\tan 36^{\circ} = \frac{h}{x}

0,727 = \frac{h}{x}

Donde h y x son la altura con respecto al suelo y la distancia horizontal con respecto a la ciudad A.

A continuación, se elimina la altura de ambas ecuaciones por igualación y se determina la distancia horizontal del globo con respecto a la ciudad A:

0,727\cdot x = 0,510\cdot (1500\,m-x)

1,237\cdot x = 765\,m

x = 618,432\,m

Finalmente, la altura del globo con respecto al suelo es:

h = 0,727\cdot x

h = 0,727\cdot (618,432\,m)

h = 449,600\,m

La altura del globo con respecto al suelo es 449,6 metros.

6 0
2 years ago
Rita does chores for her neighbors and makes $45 each weekend. She owes her sister $80. Rita has $178 in coins and a collection
mina [271]
The money she owes her sister $80
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2 years ago
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Find the amount of time.<br> I=$450, P=$2400, r=7.5%<br> Help!
faust18 [17]
I = PRT.....rearrange = I / PR = T
I = 450
R = 7.5%...turn to decimal = 0.075
P = 2400

I / (PR) = T
450 / (2400 * 0.075) = T
450 / 180 = T
2.5 = T...so time is 2.5 years, or 2 1/2 years
8 0
2 years ago
The angle by which AB turns clockwise about point B to coincide with BC is ? degrees. If from point B, a point E is drawn direc
Oksana_A [137]
A) AB turn clockwise to coincide with BC

= ABD + DBC

= 33.3° + 30.6° 

= 63.9°


b) If E is drawn directly opposite C.

EBC is a straight line, so sum of angles =180°

ABE + ABD + DBC = 180°

ABE + 33.3° + 30.6° = 180°

ABE + 63.9° = 180°

ABE = 180 - 63.1

ABE = 116.9° 

Hope this explains it.
3 0
2 years ago
Read 2 more answers
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