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kykrilka [37]
3 years ago
10

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Mathematics
1 answer:
mr Goodwill [35]3 years ago
7 0
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Four times the sum of three consecutive odd integers is seven hundred sixty-five less than three times the product of the larger
Andre45 [30]

Answer:

The consecutive odd integers are (15, 17, 19) or (-17, -15, -13).

Step-by-step explanation:

Let the three consecutive odd integers be: x-2,x\ and \ x+2

The condition given is:

4[x-2+x+x+2]=3x(x+2)-765

Solve this for <em>x</em> as follows:

4[x-2+x+x+2]=3x(x+2)-765\\4\times 3x=3x^{2}+6x-765\\3x^{2}-6x-765=0\\x^{2}-2x-255=0\\x^{2}-17x+15x-255=0\\x(x-17)+15(x-17)=0\\(x-17)(x+15)=0

  • If (x-17)=0 then the value of <em>x</em> is 17.

       The odd numbers are:

          x-2=17-2=15\\x=17\\x+2=17+2=19

  • If (x+15)=0 then the value of <em>x</em> is -15.

       The odd numbers are:

         x-2=-15-2=-17\\x=-15\\x+2=-15+2=-13

Thus, the consecutive odd integers are (15, 17, 19) or (-17, -15, -13).

7 0
3 years ago
Find the surface area of the right prism. Round to the nearest whole number.
andriy [413]

Answer:

\large\boxed{S.A.=96\ cm^2}

Step-by-step explanation:

We have:

(1) two trapezoids with bases b₁ = 7cm and b₂ = 5cm and the height h = 4cm

(2) three rectangles 3 cm × 7 cm, 3 cm × 4 cm and 3 cm × 5 cm.

The formula of an area of a trapezoid:

A=\dfrac{b_1+b_2}{2}\cdot h

Substitute:

A=\dfrac{7+5}{2}\cdot4=24\ cm^2

Calculate the areas of the rectangles:

A_1=(3)(7)=21\ cm^2\\\\A_2=(3)(4)=12\ cm^2\\\\A_3=(3)(5)=15\ cm^2

The Surface Area:

S.A.=(2)(24)+21+12+15=96\ cm^2

5 0
3 years ago
Solve and graph: 7x-6&gt;22<br>(pls explain your answer, im confused on this)​
grandymaker [24]

Answer:

x>4

Step-by-step explanation:

Solving an inequality is very similar to solving an equation:

Given: 7x-6>22

Add 6 to both sides: 7x>28

Divide both side by 7: x>4

x>4 means that all x-values that are greater than 4 will work. Therefore you would write an open dot at x=4 on the number line to show that 4 isn't included, and draw an arrow going right to show all possible solutions greater than 4.

6 0
3 years ago
What is 1000x1000 is please tell me I'll give you Brainly
Eduardwww [97]

Answer:

1,000,000

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Tyra está colocando piezas de alfombra cuadrada de dowia en su estudio y fotografía. Cada pieza de alfombra cuadrada es de 1 yar
Nitella [24]

Answer: 28 creo


Step-by-step explanation:

Cuando usted está tratando de encontrar el perímetro de un cuadrado o una forma diferente, se multiplica. 7 x 4 = 28 o 4 x 7 = 28

Espero que esto ayude.




4 0
4 years ago
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