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3 years ago

15

What is the solution to this equation? 3x=156

1 answer:

Alecsey [184]3 years ago

6 0

Answer:

x = 52

Step-by-step explanation:

$3x = 156$

$3x \div 3 = x$

$x = 156 \div 3$

$x = 52$

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Solve the following systems using the ELIMINATION METHOD.<br> y=4x-5<br> y=3x+7

RUDIKE [14]

$\left\{\begin{array}{ccc}y=4x-5\\y=3x+7&|\text{change the signs}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}y=4x-5\\-y=-3x-7\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad0=x-12\qquad\text{add 12 to both sides}\\\qquad\boxed{x=12}\\\\\text{Substitute the value of x to the first equation}\\\\y=4(12)-5\\y=48-5\\\boxed{y=43}\\\\Answer:\ x=12\ and\ y=43.$

7 0

4 years ago

The sum of the squares of three consecutive positive integers is 7805. What is the sum of the cubes of the three original intege

Vitek1552 [10]

Answer:

398259

Step-by-step explanation:

Let from the given positive integers, x be the smallest integers,

Also, numbers are consecutive,

So, the second integer = x + 1,

Third integer = x + 2,

According to the question,

$x^2+(x+1)^2+(x+2)^2=7805$

$x^2+x^2+2x+1+x^2+4x+4=7805$

$3x^2+6x+5=7805$

$3x^2+6x+5-7805=0$

$3x^2+6x-7800=0$

$x^2+2x-2600$

By middle term splitting,

$x^2+(52-50)x-2600=0$

$x^2+52x-50x-2600=0$

$x(x+52)-50(x+52)=0$

$(x-50)(x+52)=0$

By zero product property,

x-50 = 0 or x + 52 =0

⇒ x = 50 or x = -52 ( not possible )

Hence, numbers are 50, 51, 52,

∵ (50)³ + (51)³ + (52)³ = 125000 + 132651 + 140608 = 398259

6 0

3 years ago

HELLPP "Which table represents a linear function?"

Flura [38]

Answer:

1st option

Step-by-step explanation:

The equation for the 2nd option will be y = 1/x which is a hyperbola

The equation for the 3rd option is I'm unsure because it is not linear as it does not have the same jump between the y values

The equation for the 4th option is not linear as it does not have the same jump between the y values

Hope this helped and have a good day

5 0

2 years ago

What are prime numbers of 50?

LUCKY_DIMON [66]

2<span>, 3, 5, 7, 11, </span>13<span>, 17, 19, 23, 29, 31, </span>37<span>, </span>41<span>, </span>43<span>, </span>47<span>. are the only numbers prime that are less than 50</span>

7 0

3 years ago

Help me with this!!!!

mote1985 [20]

Answer:

72.5

Step-by-step explanation:

8 0

3 years ago