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3 years ago

(23.98 − (1.7 ⋅1.7)) ⋅ 7.6

Mathematics

2 answers:

Rus_ich [418]3 years ago

7 0

Answer:

Step-by-step explanation:

Work in parenthesis first 1.7×1.7 =2.89 the subtract within parenthesis to get 21.

09 the multiply to get 160.28.

pochemuha3 years ago

6 0

Answer:160.284

Step-by-step explanation:

As always brackets first

1.7 multiply by 1.7= 2.89

then:

23.98 - 2.89= 21.09

and lastly:

21.09 multiply by 7.6

=160.284

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If r and s are positive integers, is \small \frac{r}{s} an integer? (1) Every factor of s is also a factor of r. (2) Every prime

Yuri [45]

Answer:

If statement(1) holds true, it is correct that $\small \frac{r}{s}$ is an integer.

If statement(2) holds true, it is not necessarily correct that $\small \frac{r}{s}$ is an integer.

Step-by-step explanation:

Given two positive integers $r$ and $s$ .

To check whether $\small \frac{r}{s}$ is an integer:

Condition (1):

Every factor of $s$ is also a factor of $r$ .

$r \geq s$

Let us consider an example:

$s = 5^2 \cdot 2\\r = 5^3 \cdot 2^2$

$\dfrac{r}{s} = \dfrac{5^3\cdot2^2}{5^2\cdot2} = 10$

which is an integer.

Actually, in this situation $s$ is a factor of $r$ .

Condition 2:

Every prime factor of s is also a prime factor of r.

(But the powers of prime factors need not be equal as we are not given the conditions related to powers of prime factors.)

Let

$r = 2^2\cdot 5\\s =2^4\cdot 5$

$\dfrac{r}{s} = \dfrac{2^3\cdot5}{2^4\cdot5} = \dfrac{1}{2}$

which is not an integer.

So, the answer is:

If statement(1) holds true, it is correct that $\small \frac{r}{s}$ is an integer.

If statement(2) holds true, it is not necessarily correct that $\small \frac{r}{s}$ is an integer.

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4 years ago

Tres veces un número x, restado de 18 es menor que -90

andrey2020 [161]

The answer is linked below

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3 years ago

Mr. Albano wants to paint menus on the wall of his cafe in chalkboard paint. The gray area below shows where the rectangular men

alex41 [277]

Saw the image.

Given:
Whole wall is 13 2/3 ft by 25ft
4 menus (gray areas) with measurements of 6 ft wide and 7 1/2 ft tall.

Convert mixed fractions into improper fractions.

13 2/3 ft = ((13*3)+2)/3 = 41/3

Area of the Wall = 41/3 ft * 25 ft = (41*25)/3 = 1025/3 ft² = 341 2/3 ft²

7 1/2 ft = ((7*2)+1)/2 = 15/2

Area of the menu = 15/2 ft * 6 ft = (15*6)/2 = 90/2 = 45 ft²
45 ft² x 4 menus = 180 ft²

Area of wall space not covered by the chalkboard paint:
A = 341 2/3 ft² - 180 ft² = 161 2/3 ft²

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3 years ago

The shortest side of an isosceles triangle is 26 cm less than twice as long as the other sides. The perimeter of the triangle is

olya-2409 [2.1K]

Answer:

22cm,24cm,24cm

Step-by-step explanation:

Let us call one of the other sides x

the shortest side = 2x-26

in an isosceles, 2 sides are equal (x in this case)

so we now have sides of x,x and 2x-26

form an eqution from this.

4x-26=70

4x=96

x=24

24 x 2 = 48 - 26 = 22

thus, the shortest side is 22cm and the other sides are both 24cm

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NISA [10]

George's financial outcome was $70. He bought it for $50, and then he sold it for $60 in return. He bought it for $70 again, so subtract 60-70= -10. He then sold it for $80 which he gained so -10 + 80 = $70.

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3 years ago