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2 years ago

What to do to find out what X stands for?

Mathematics

2 answers:

I am Lyosha [343]2 years ago

7 0

Hello,

x + 2 = 6

x = 6 - 2

x = 4

Bye :)

Vlada [557]2 years ago

4 0

Subtract 2 to both sides

6 = x + 2 it will then become

6 - 2 = x + 2 - 2

4 = x

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Learning Task 3

ASHA 777 [7]

Answer:

1. The sides are: 38.5, 39.5, 40.5 and 41.5

2. Presently, Inzo is 15 years old and Miz is 10 years old

3. $Distance = 3682km$

4. Possible pairs are: (12, 14), (16, 18) and (20, 24)

5. $L < 38m$

Step-by-step explanation:

The question has lots of missing details. See the comment section for complete question

Solving (a):

Given

Shape: Quadrilateral

Sides: Consecutive

$Perimeter = 160$

Let one of the sides be x. The other sides will be x + 1, x + 2 and x + 3.

So, the perimeter is:

$Perimeter = x + x + 1 + x + 2 + x + 3$

This gives:

$160 = x + x + 1 + x + 2 + x + 3$

Collect Like Terms

$160 -1-2-3= x+x+x+x$

$154= 4x$

Divide both sides by 4

$38.5 = x$

$x =38.5$

So, the sides are: 38.5, 39.5, 40.5 and 41.5

Solving (b):

Given

Presently: $Inzo = 10 + Miz$

Five years ago: $Miz - 5= \frac{1}{3} * (Inzo-5)$ --- (Missing from the question)

Required: Determine their present ages

Substitute $10 + Miz$ for Inzo in the second equation

$Miz - 5 = \frac{1}{3} * (10 + Miz - 5)$

$Miz - 5 = \frac{1}{3} * (Miz + 5)$

Multiply both sides by 3

$3Miz - 15 = Miz + 5$

Collect Like Terms

$3Miz -Miz = 15 + 5$

$2Miz= 20$

Divide both sides by 2

$Miz = 10$

Substitute 10 for Miz in $Inzo = 10 + Miz$

$Inzo = 10 + 5$

$Inzo = 15$

So presently, Inzo is 15 years old and Miz is 10 years old

Solving (3):

Given

Express Train:

$Speed = 100kph$

$Time = t$

Local Train:

$Speed = 45kph$

$Time = t + 45$

Required: Determine the distance between A and B

Distance is calculated as:

$Distance = Speed * Time$

For the express train:

$Distance = 100 * t$

For the local train

$Distance = 45 * (45 + t)$

Distance between both stations are equal; So,

$100 * t = 45 * (45 + t)$

$100 t = 2025 + 45t$

Collect Like Terms

$100 t -45t= 2025$

$55t= 2025$

Divide by 55

$t = 36.82$

Substitute 36.82 for t in $Distance = 100 * t$

$Distance = 100 * 36.82$

$Distance = 3682km$

Solving (4):

Let the even numbers be: n and n + 2.

Sum greater than 24: $n + n + 2 > 24$

Sum less than 60: $n + n + 2 < 60$

So, we have:

$n + n + 2 > 24$

$2n + 2 > 24$

Collect Like Terms

$2n > 24-2$

$2n > 22$

$n > 11$

$n + n + 2 < 60$

$2n + 2< 60$

Collect Like Terms

$2n < 60-2$

$2n < 58$

Divide by 2

$n$

So, we have:

$n > 11$ and $n < 29$

So, possible pairs are: (12, 14), (16, 18) and (20, 24)

Solving (5):

Given

$Perimeter < 152m$

Required: Find the possible lengths

Let the length be L.

Perimeter is calculated as:

$Perimeter =4 * L$

$Perimeter =4 L$

So, we have:

$4L < 152m$

Divide through by 4

$L < 38m$

Hence, length is less than 38m (e.g. 37m)

5 0

1 year ago

A triangle with two 8

tekilochka [14]

Answer:

One unique triangle

Step-by-step explanation:

3 0

2 years ago

Round 246,539 to the nearest ten thousand and to the nearest hundred thousand

svetlana [45]

Answer:

Nearest ten thousand: 250,000 Nearest hundred thousand: 200,000

Step-by-step explanation:

For the nearest ten thousand, look at that place which is the 4 then look at the number next to it. Its a 6. That 6 is closer to ten than it is to 0 so you round up to the next number which is 250,000. For the hundred thousand place do the same thing. Look at the number next to it which is 4 which is closer to 0 than 10 so you round down to 200,000.

7 0

2 years ago

Robin puts 5/8 cups of water into her recipe. Noel puts 1/3 the amount of water that robin put in her recipe. How much water doe

fiasKO [112]

You are going to subtract.
5/8 - 1/3 equals to 7/24

Hope this helps :)

4 0

2 years ago

Read 2 more answers

c and y candy company mixes candy that cost $6 per pound with candy that cost $4.50 per pound. How many pounds of each are neede

umka21 [38]

$x-weight\ of\ candy\ cost\ \$6\ per\ pound\\y-weight\ of\ candy\ cost\ \$4.50\ per\ pound\\\\ \left\{\begin{array}{ccc}x+y=2\\2(6x+4.5y)=15\end{array}\right\\\left\{\begin{array}{ccc}x+y=2&|multiply\ both\ sides\ by\ (-3)\\12x+9y=15&|divide\ both\ sides\ by\ 3\end{array}\right\\+\left\{\begin{array}{ccc}-3x-3y=-6\\4x+3y=5\end{array}\right\ \ \ \ |add\ sides\ of\ the\ equations\\---------\\.\ \ \ \ \ \ \ \ \ x=1\\\\1+y=2\to y=1$

$Answer:Fifty Fifty (1\ pounds\ of\ candy\ cost\ \$6\ and\ 1\ pound\ of\ candy\ cost\ \$4.50$

3 0

2 years ago

Read 2 more answers