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3 years ago

3+x=8 What would like match this answer

Mathematics

2 answers:

postnew [5]3 years ago

8 0

Answer:

x = 5

Step-by-step explanation:

x = 8 - 3

Thus, x = 5

erma4kov [3.2K]3 years ago

3 0

Move 3 over the equals sign
It becomes x=8-3
x=5
Hope it helps

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Paul sold 162 cans of lemonade in 5 hours. About how many cans of lemonade did he sell each hour.

just olya [345]

Paul sold 32 cans per hour

8 0

3 years ago

PLEASE HELP I AM DESPERATE I WILL GIVE THANKS, 5 STARS, AND THE BRAINLIEST!!!

slava [35]

Answer:

-8

Step-by-step explanation:

p(x) = - 2x - 3, x ≤ 0 You would use this equation for finding p(0), since 0 is equal to 0.

p(x) = - 2x - 3, x ≤ 0 ← You can ignore the x≤0 part.

p(0) = - 2(0) - 3 Input the value 0 as x.

p(0) = 0 - 3 Simplify

p(0) = -3

Next,

p(x) = -x² - 4, x > 0 You would use this equation for finding p(1), since 1 is greater than 0.

p(x) = -x² - 4, x > 0 ← You can ignore the x>0 part.

p(1) = -(1)² - 4 Input the value 1 as x. 1² is equal to 1 times negative is -1.

p(1) = -1 - 4 Simplify

p(1) = -5

Then,

p(x) = - 2x - 3, x ≤ 0 You would use this equation for finding p(-2), since -2 is less than 0.

p(x) = - 2x - 3, x ≤ 0 ← You can ignore the x ≤ 0 part.

p(-2) = - 2(-2) - 3 Input the value -2 as x. A negative times a negative is

p(-2) = 4 - 3 a positive.

p(-2) = 1 Simplify

Finally, you have to fine the value of $\frac{p(0)+p(1)}{p(-2)}$

$\frac{p(0)+p(1)}{p(-2)}$

$\frac{(-3) + (-5)}{(1)}$ Input the values of p(0), p(1), and p(-2).

$\frac{-8}{1}$ Simplify

-8

The answer is -8.

7 0

3 years ago

There is $48 to be divided among 3 people. the ratio of dividing is 3:2:1. How much does the person who receives the most will g

hodyreva [135]

Answer:

The person who receives the most will get $24

Step-by-step explanation:

Let

x ----> amount received by the first person

y ----> amount received by the second person

z ----> amount received by the third person

we know that

$x+y+z=48$ ----> equation A

$x:y:z=3:2:1$

$\frac{x}{y}=\frac{3}{2}$

$x=1.5y$ ----> equation B

$\frac{y}{z}=\frac{2}{1}$

$z=0.5y$ ----> equation C

substitute equation B and equation C in equation A

$1.5y+y+0.5y=48$

solve for y

$3y=48\\y=\$16$

Find the value of x

$x=1.5(16)=\$24$

Find the value of z

$z=0.5(16)=\$8$

therefore

The person who receives the most will get $24

7 0

3 years ago

Read 2 more answers

Need help with this struggling a bit.

Kaylis [27]

The answer is A hope it helps plz mark me a brainlest

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2 years ago

Read 2 more answers

How many sets of three consecutive integers are there in which the sum of the three integers equals their product?

skad [1K]

Answer:

Step-by-step explanation:

since the 3 integers are consecutive, we are dealing with x, x+1, x+2.

and their sum is the same as their product :

x + (x + 1) + (x + 2) = x(x + 1)(x + 2)

3x + 3 = x(x² + 3x + 2) = x³ + 3x² + 2x

x³ + 3x² - x - 3 = 0

this is a polynomial of third degree.

and as such it has 3 solutions.

of course, it could be that some of them are the same or are even in the realm of complex numbers (i = sqrt(-1)), but usually these 3 solutions are different real numbers.

I tried x=1 just to see, and, hey, it is a solution for this equation.

x = 1 means that the other 2 consecutive integers are 2 and 3.

and indeed, 1+2+3 = 1×2×3 = 6.

now it is easier to find the other 2 solutions, as a zero solution can be expressed as a factor of the whole expression.

for x = 1 the factor term is (x - 1), as this term is then turning 0, when x = 1.

I can divide the main expression by this factor and then analyze the quotient about the other 2 solutions.

x³ + 3x² - x - 3 : x - 1 = x² + 4x + 3

- x³ - x²

----------------

0 4x² - x

- 4x² - 4x

-----------------------

0 + 3x - 3

- 3x - 3

---------------------------

0 0

so, the original expression can be written as

(x² + 4x + 3)(x - 1).

now we need to find the 2 zero solutions for x²+4x+3

the general solution to a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = 4

c = 3

so,

x = (-4 ± sqrt(4² - 4×1×3))/(2×1) =

= (-4 ± sqrt(16 - 12))/2 = (-4 ± sqrt(4))/2 =

= (-4 ± 2)/2 = -2 ± 1

x1 = -2 + 1 = -1

x2 = -2 - 1 = -3

so, we have the additional solutions :

-1 0 1

-3 -2 -1

-1 + 0 + 1 = -1×0×1 = 0

-3 + -2 + -1 = -3×-2×-1 = -6

and there we have it fully proven :

there are 3 different sets of 3 consecutive integers with the same sum as product.

4 0

2 years ago