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Dafna11 [192]
3 years ago
6

Write an equivalent expression for 88 +16x +8 . If x=4,is the solution to both expressions the same.

Mathematics
1 answer:
Firlakuza [10]3 years ago
5 0
You can find an equivalent expression for this by combining like terms.
The terms are 88, 16x, and 8.
The like terms are 88 and 8.
To combine them, add them together.
88 + 8 = 96
The equivalent expression would be 16x + 96.
This means 16x + 96 is the same as <span>88 + 16x + 8.

Since they are equivalent, that means they are equal, or the same.
So no matter what x is, they will both be equal to the same thing, so their solutions will be the same.

Answers:
Equivalent Expression: 16x + 96
Yes, both expressions will have the same solutions if x = 4.

Hope this helps!</span>
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The sum of two numbers is 85. If four times the smaller number is subtracted from the larger number, the result is 5. Find the t
Cerrena [4.2K]

Answer:

the larger number is 69

the smaller number is 16

Step-by-step explanation:

x is the smaller number

y is the larger number

x + y = 85

y - 4x = 5

y = 5 + 4x

x + 5 + 4x = 85

5x = 80

x = 16

y = 69

5 0
3 years ago
Find the value of x in each case:
morpeh [17]

Answer:

x=15

Step-by-step explanation:

5x+(180-9x)+(180-8x)=180

total of a triangle angles is 180

5 0
3 years ago
Read 2 more answers
Could i have some really really quick help?
nata0808 [166]

Answer:

1125 m

Step-by-step explanation:

Given equation:

h=-5t^2+150t

where:

  • h = height (in metres)
  • t = time (in seconds)

<u>Method 1</u>

Rewrite the equation in vertex form by completing the square:

h=-5t^2+150t

\implies h=-5t^2+150t-1125+1125

\implies h=-5(t^2-30t+225)+1125

\implies h=-5(t-15)^2+1125

The vertex (15, 1125) is the turning point of the parabola (minimum or maximum point).  As the leading coefficient of the given equation is negative, the parabola opens downward, and so vertex is the maximum point.  Therefore, the maximum height is the y-value of the vertex: 1125 metres.

<u>Method 2</u>

Differentiate the function:

\implies \dfrac{dh}{dt}=-10t+150

Set it to zero and solve for t:

\implies -10t+150=0

\implies 10t=150

\implies t=15

Input found value of t into the original function and solve for h:

\implies -5(15)^2+150(15)=1125

Therefore, the maximum height is 1125 metres.

8 0
2 years ago
Read 2 more answers
Nathan deposited 7/9 of his allowance into his savings account. He spent the remaining amount, or $2.50. How much did Nathan dep
kati45 [8]
Let us assume that total amount of Nathan's allowance = x
Amount of money deposited by Nathan into his savings account = 7x/9
Remaining amount that Nathan spent = $2.50
Now we have to get to the equation for solving the question asked.
7x/9 + 2.50 = x
7x + (9 * 2.50) = 9x
7x + 22.50 = 9x
22.50 = 9x - 7x
22.50 =2x
x = 22.50/2
   = 11.25
So $11.25 is the total allowance of Nathan.
Then The amount of money deposited by
Nathan in savings account = (7/9) * 11.25
                                           = 78.75/9
                                           = 8.75
So Nathan deposits $8.75 in his savings account.
<span />
5 0
3 years ago
Round this number to the nearest THOUSANDS place<br> 838,734
QveST [7]

Answer:

839,000

Step-by-step explanation:

6 0
3 years ago
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