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Paha777 [63]
2 years ago
12

Solve 4(t+1)=6t-1 A) 1 1/2 B) 2 1/2 C) 1 D) 0

Mathematics
2 answers:
Llana [10]2 years ago
4 0

4(t+1)=6t-1

4t+4=6t -1

4t-6t+4=6t-6t-1

-2t+4=-1

-2t+4-4=-1-4

-2t=-5

Divide by -2 for -2t and -5

-2t/-2=-5/-2

t=5/2= 2 1/2

Answer is b) 2 1/2

-BARSIC- [3]2 years ago
3 0

Answer:

answer is B...2 1/2

Step-by-step explanation:

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LenaWriter [7]

Answer:

5/8 = 0.625 and 62.5%

11/12 = 0.917 and 91.67%

1/4 = 0.25 and 25%

3/5 = 0.6 and 60%

Step-by-step explanation:

:)

3 0
2 years ago
Patrick has just finished building a pen for his new dog. The pen is 3 feet wider than it is long. He also built a doghouse to p
zalisa [80]

General Idea:

(i) Assign variable for the unknown that we need to find

(ii) Sketch a diagram to help us visualize the problem

(iii) Write the mathematical equation representing the description given.

(iv) Solve the equation by substitution method. Solving means finding the values of the variables which will make both the equation TRUE

Applying the concept:

Given: x represents the length of the pen and y represents the area of the doghouse

<u>Statement 1: </u>"The pen is 3 feet wider than it is long"

Length \; of\; the \; pen = x\\ Width \; of\; the\; pen=x+3

------

<u>Statement 2: "He also built a doghouse to put in the pen which has a perimeter that is equal to the area of its base"</u>

Area \; of\; the\; Dog \; house=y\\ Perimeter \; of\; Dog\; house=y

------

<u>Statement 3: "After putting the doghouse in the pen, he calculates that the dog will have 178 square feet of space to run around inside the pen."</u>

Area \; of \; the\; Pen - Area \;of \;the\;Dog \;House=\;Space\;inside\;Pen\\ \\ x \cdot (x+3)-y=178\\ Distributing \;x\;in\;the\;left\;side\;of\;the\;equation\\ \\ x^2+3x-y=178\Rightarrow\; 1^{st}\; Equation\\

------

<u>Statement 4: "The perimeter of the pen is 3 times greater than the perimeter of the doghouse."</u>

Perimeter\; of\; the\; Pen=3\; \cdot \; Perimeter\; of\; the\; Dog\; House\\ \\ 2(x \; + \; x+3)=3 \cdot y\\ Combine\; like\; terms\; inside\; the\; parenthesis\\ \\ 2(2x+3)=3y\\ Distribute\; 2\; in\; the\; left\; side\; of\; the\; equation\\ \\ 4x+6=3y\\ Subtract \; 6\; and \; 3y\; on\; both\; sides\; of\; the\; equation\\ \\ 4x+6-3y-6=3y-3y-6\\ Combine\; like\; terms\\ \\ 4x-3y=-6 \Rightarrow \; \; 2^{nd}\; Equation\\

Conclusion:

The systems of equations that can be used to determine the length and width of the pen and the area of the doghouse is given in Option B.

178=x^2+3x-y\\ \\ -6=4x-3y

8 0
3 years ago
Read 2 more answers
I need this problem solved real quick
PIT_PIT [208]

<u>Let's take this problem step-by-step</u>:

<u>The ;unlabeled angle' adjacent to the 'outside angle of measure 78°'</u>

  ⇒ is on a straight line

     ⇒ sum of angle measure = 180 degrees

       unlabeled_.angle+78 = 180\\unlabeled_.angle = 102

<u>Now we know:</u>

 ⇒ sum of all angles in a triangle ⇒ 180°

<u>Let's put that in equation form and solve:</u>

  x + 102 + 57=180\\x + 159=180\\x = 21

<u>Answer: 21°</u>

<u></u>

Hope that helps!

#LearnwithBrainly

8 0
2 years ago
HELP ME PLZ PLZ PLZ!
Triss [41]

Answer:

I don't know the value of either, could you add more information?

Step-by-step explanation:

I'd be glad to help.

6 0
3 years ago
What is the area of the trapezoid?<br> 68<br> 54<br> 76<br> 108
iren [92.7K]
108 is the answer for this question
6 0
2 years ago
Read 2 more answers
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