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2 years ago

14

there are three consecutive odd integers. Three times the largest is 7 times the smallest. WHat are the integers

1 answer:

Elena L [17]2 years ago

4 0

Answer:

3, 5, 7

Step-by-step explanation:

We can assign the first number as x. Since all the numbers are odd the next number will be x+2, and the last will be x+4.

3*(x+4) = 7(x)

3x+12 = 7x

12 = 4x

x = 3

x+2 = 5

x+4 = 7

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Simplify 6x + 6 + 5x - 8. <br> 11x - 2 <br> 11x + 2<br> 9x

andriy [413]

11x-2; SInce you have to add 6x and 5x because they are 'like terms' meaning they share the same variable. You also add the 6 and the -8, which is basically doing 6-8, which equals -2. So, you put these two numbers together to get an expression of 11x-2.

3 0

3 years ago

Read 2 more answers

Q10 Q2.) Find the standard form of the equation of the parabola satisfying the given conditions.

Kipish [7]

Hello!!

Equation forms:

$y = \frac{x^2}{4} + \frac{x}{2} + \frac{13}{4}$

Therefore, $x^2 - 2x + 4y - 13 = 0$

And, this is how your graph would look

Good luck :)

8 0

3 years ago

Help me with this please.

Ira Lisetskai [31]

Answer:

JL = 78

Step-by-step explanation:

MN is a midsegment. Based on the midsegment theorem,

MN = ½(JL)

MN = 5x - 16

JL = 4x + 34

Plug in the value

5x - 16 = ½(4x + 34)

5x - 16 = ½*4x + ½*34

5x - 16 = 2x + 17

Collect like terms

5x - 2x = 16 + 17

3x = 33

Divide both sides by 3

x = 11

✔️JL = 4x + 34

Plug in the value of x

JL = 4(11) + 34

JL = 44 + 34

JL = 78

5 0

3 years ago

Felicia is solving the expression -5(3x+2)+10x. Gregory is solving the expression -12-4x+?+?x. Both students simplified their an

densk [106]

Answer:

see the explanation

Step-by-step explanation:

we have

<em>Felicia</em>

$-5(3x+2)+10x$

Apply distributive property

$-5(3x)-5(2)+10x$

$-15x-10+10x$

Combine like terms

$-5x-10$

Let

a ----> the missing term with coefficient x in Gregory's expression

b ----> the missing constant term in Gregory's expression

so

$-12-4x+ax+b$

equate Gregory's expression to Felicia's expression

$-12-4x+ax+b=-5x-10$

so

$-12+b=-10$ -----> $b=2$

$-4x+ax=-5x$ ------> $a=-1$

so

Gregory's expression is

$-12-4x+2-x$

therefore

The missing terms are 2 and -x

7 0

3 years ago

Jake made a wooden cone with a diameter of 6 inches and a height of 4.5 inches. What is the volume of this cone?

serious [3.7K]

Answer:

42.42in³

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, a cone

Step one

We know that the volume of a cone is

V= 1/3πr²h

Given data

Diameter d= 6 inches

Radius r= diameter/2= 6/2= 3 inches

Height h = 4.5 inches

Step two

Substituting our given data we have

Volume = 1/3*3.142*3²*4.5

V= 1/3*3.142*9*4.5

V= 127.251/3

V= 42.42in³

7 0

3 years ago