All categories

3 years ago

Solve for x. −5(x−4)=−30

2 answers:

8 0

Let's solve your equation step-by-step.−5(x−4)=−30

Step 1: Simplify both sides of the equation.−5(x−4)=−30
Simplify: (Show steps)−5x+20=−30

Step 2: Subtract 20 from both sides.−5x+20−20=−30−20−5x=−50

Step 3: Divide both sides by -5.−5x−5=−50−5x=10

Answer:x=10

max2010maxim [7]3 years ago

6 0

Answer:

Step-by-step explanation:

took the quiz

You might be interested in

Martin used 400 ft of fencing to enclose a rectanguluar area in his backyard

Fofino [41]

I think the side lengths could be 125 and 75
I’m not sure what you’re asking

7 0

3 years ago

What's $174542 times $300

ikadub [295]

$174,542 times $300 is equal to 52 362 600 U.S. dollars.2

6 0

3 years ago

Read 2 more answers

alana found a sofa she wants to buy for her new apartment.the sofa cost $950.00 plus tax if Alana paid $999.40 for the sofa, wha

Yuliya22 [10]

Answer:

5.2%

Step-by-step explanation:

((999.4 × 100) ÷ 950) - 100

(99,940 ÷ 950) - 100

105.2 - 100

5.2

4 0

3 years ago

Assume that y varies directly with x. If y = -5 when

steposvetlana [31]

Answer:

Thus, the value of x = -36 when y = 15

Step-by-step explanation:

We know that if y varies directly with x, we can express the relationship such as

y ∝ x

y = kx

k = y/x

where 'k' is called constant of variation.

Given

y = -5

x = 12

Using the equation

k = y/x = -5/12

Thus, the value of k = -5/12

Finding x when y = 15

y = 15

k = -5/12

substituting y = 15 and k = -5/12 in the equation

y = kx

15 = -5/12 (x)

15×12 = -5x

180 = -5x

divding both sides by -5

-5x/-5 = 180/-5

x = -36

Thus, the value of x = -36 when y = 15

8 0

3 years ago

The trees at a national park have been increasing in numbers. There were 1,000 trees in the first year that the park started tra

ivanzaharov [21]

The sequence forms a Geometric sequence as the rule to obtain the value for the next term is by ratio

Term 1: 1000
Term 2: 200
Term 3: 40

From term 1 to term 2, there's a decrease by $\frac{1}{5}$
From term 2 to term 3, there's a decrease also by $\frac{1}{5}$

The rule to find the $n^{th}$ term in a sequence is
$n^{th}=a r^{n-1}$ , where $a$ is the first term in the sequence and $r$ is the ratio

So, the formula for the sequence in question is
$n_{th}$ term = $1000( \frac{1}{5} ^{n-1} )$

The sequence is a divergent one. We can always find the value of the next term by dividing the previous term by 5 and if we do that, the value of the next term will get closer to 'zero' but never actually equal to zero.

We can find a partial sum of the sequence using the formula
$S_{∞} = \frac{a}{1-r}$ for -1<r<1
Substituting $a=1000$ and $r= \frac{1}{5}$ we have
$S_{∞}$ = $\frac{1000}{1- \frac{1}{5} }$ = 1250

Hence, the correct option is option number 1

6 0

3 years ago