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amm1812
2 years ago
13

5.37 + x =12.89 explanation please it’s two step equation

Mathematics
2 answers:
dalvyx [7]2 years ago
7 0

Answer:

Answers of given questions are written below :

  • 1) x = 7.52
  • 2) x = 11
  • 3) x = 2.5

Step-by-step explanation:

\large{\tt{\underline{\underline{\purple{SOLUTION : - }}}}}

5.37 + x = 12.89

\implies{\tt{5.37 + x = 12.89}}

\implies{\tt{ x = 12.89 - 5.37}}

\implies{\tt{ x = 7.52}}

\star{\underline{\boxed{\sf{\red{ x = 7.52}}}}}

<u>Hence</u><u>,</u><u> </u><u>the</u><u> </u><u>value</u><u> </u><u>of</u><u> </u><u>x</u><u> </u><u>is</u><u> </u><u>7.52</u>

\begin{gathered}\end{gathered}

42 = 6x - 24

\longmapsto{\sf{42 = 6x - 24}}

\longmapsto{\sf{ 6x = 42  +  24}}

\longmapsto{\sf{ 6x = 66}}

\longmapsto{\sf{x = \dfrac{66}{3}}}

\longmapsto{\sf{x = 11}}

\star{\underline{\boxed{\sf{\red{ x = 11}}}}}

<u>Hence</u><u>,</u><u> </u><u>the</u><u> </u><u>value</u><u> </u><u>of</u><u> </u><u>x</u><u> </u><u>is</u><u> </u><u>11</u><u>.</u>

\begin{gathered}\end{gathered}

10x + 25 = 50

{\longrightarrow{\rm{10x + 25 = 50}}}

{\longrightarrow{\rm{10x= 50 - 25}}}

{\longrightarrow{\rm{10x= 25}}}

{\longrightarrow{\rm{x= \dfrac{25}{10}}}}

{\longrightarrow{\rm{x=2.5}}}

<u>Hence</u><u>,</u><u> </u><u>the</u><u> </u><u>value</u><u> </u><u>of</u><u> </u><u>x</u><u> </u><u>is</u><u> </u><u>2</u><u>.</u><u>5</u><u>.</u>

\rule{300}{2.5}

Wewaii [24]2 years ago
6 0

Answer:

7.52

Step-by-step explanation:

5.37 + x = 12.89

In order to solve this equation, we must isolate the variable, x.

1.) To do this, subtract 5.37 on both sides of the equation.

5.37 + x = 12.89

-5.37         -5.37

x = 7.52

Therefore, x = 7.52

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Lenny rolls two number cubes. What is the probability that the sum of the numbers Lenny rolls is either 4 or 7?
Mashutka [201]

Probability of an event =


(number of ways the event can happen) / (total number of possible outcomes) .


Well, the total number of possible outcomes is easy. It's


(6 possibilities for the first cube) x (6 possibilities for the 2nd cube)


= 36 total possible ways for two cubes to roll.


Now, how many of those possibilities show either 4 or 7 ?


Well, here's how a 4 can come up:


1 . . . 3

2 . . . 2

3 . . . 1


and here's how a 7 can come up:


1 . . . 6

2 . . . 5

3 . . . 4

4 . . . 3

5 . . . 2

6 . . . 1 .


So there are 9 ways all together for Lenny to be successful.


The probability is (9/36) .


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3 years ago
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3 years ago
Monthly sales of an SUV model are expected to increase at the rate of S′1t2 = -24t 1&gt;3 SUVs per month, where t is time in mon
uysha [10]

The company will continue to manufacture this model for 19 months.

The question is ill-formatted. The understandable format is given below.

An SUV model's monthly sales are anticipated to rise at a rate of

S'(t)=-24^{1/3} SUVs each month, where "t" denotes the number of months and "S(t)" denotes the monthly sales of SUVs. When monthly sales of 300 SUVs are reached, the business intends to discontinue producing this model.

Find S if monthly sales of SUVs are 1,200 at time t=0 (t). How long will the business keep making this model?

Given S'(t)=-24^{1/3} ... ... (1)

Condition (1) at t=0; s(t) =1200

We find S(t)=300 then t=?

a) We find S(t)

from S'(t)=-24^{1/3}

\implies \frac{dS(t)}{dt}=-24t^{1/3} ~~[\because X'(t)=\frac{dX}{dt} \\\implies dS(t) = -24t^{1/3}dt\\

On Integrating both sides

S(t)=-18t^{4/3}+c ~...~...~(2)

Now, at t=0 then S(t)=1200

So, from (2)

1200=0+c

⇒c=1200

\thereforefrom eq (2)

S(t)=-18t^{4/3}+1200 ~...~...~(3)

b) Considering that the firm intends to cease production of this model once monthly sales exceed 300 SUVs.

So, take S(t)=300

from eq (2) 300=-18t^{4/3}+1200

t^{4/3}=\frac{1200-300}{18}\\=\frac{900}{18}=50\\\implies t=50^{3/4}\\\implies t=18.8030

Hence the company will continue 18.8020 months.

Learn more about integration here-

brainly.com/question/18125359

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Lowest common denominator of 3 5/7 and 4 4/5
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the ortiz will travel fron indianapolis to denver this summer.The driving distance between the two cities is 1058 miles. They ne
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Answer:

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  b. 105.8 gallons

  c. $305.76

  d. cost per gallon = total cost / number of gallons = total cost/105.8

Step-by-step explanation:

<h3>a. </h3>

The round-trip distance is the sum of the distances there and back. It is double the one-way distance.

  round-trip distance = 2 × one-way distance

  round-trip distance = 2 × 1058 miles = 2116 miles

__

<h3>b.</h3>

The gas used will be the distance divided by miles per gallon.

  gas used = round-trip distance / miles-per-gallon

  gas used = (2116 mi)/(20 mi/gal) = 105.8 gal

__

<h3>c.</h3>

The cost of gas will be the product of cost per gallon and number of gallons.

  cost of gas = cost-per-gallon × gallons

  cost of gas = $2.89/gal × 105.8 gal = $305.762 ≈ $305.76

__

<h3>d.</h3>

The relation used in the previous step can be used to find the cost per gallon. Divide that equation by gallons to get ...

  (cost of gas)/gallons = cost-per-gallon

For the same trip, the number of gallons is 105.8, so the equation becomes ...

  cost-per-gallon = (cost of gas)/105.8

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2 years ago
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