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4 years ago

Is this sentence true or false? 2(x+8) = 2x - 8

Mathematics

2 answers:

blsea [12.9K]4 years ago

6 0

The statement is false

RideAnS [48]4 years ago

3 0

Answer:

FALSE

Step-by-step explanation:

Applying the distributive property on the left side gives ...

2x +16 = 2x -8

Subtracting 2x from both sides gives ...

16 = -8 . . . . a FALSE statement

The given statement is false.

_____

When an algebraic equation is transformed according to the properties of equality, the truth of it does not change.

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13.62<br><br> Round to the<br> nearest whole<br> number.

Ivenika [448]

Answer:

Step-by-step explanation:

when rounding you round up when the number is 5+ but if it's anything below 5 you go down instead, making this answer being 14

7 0

2 years ago

Factor completely: 80x2 – 125

Paladinen [302]

Answer:

$5(4x-5)(4x+5)$

Step-by-step explanation:

$80x^2-125= \\\\5(16x^2-25)= \\\\5(4x-5)(4x+5)$

Hope this helps!

6 0

3 years ago

Read 2 more answers

A washer and dryer cost $793 combined, the washer costs $93 more than the dryer. What is the cost of the dryer?

frosja888 [35]

The dryer costs x.
The washer costs $93 more than the dryer, so it costs x+93.
The washer and the dryer cost $793 altogether.

$x+x+93=793 \\
2x=793-93 \\
2x=700 \\
x=\frac{700}{2} \\
x=350$

The cost of the dryer is $350.

5 0

4 years ago

Read 2 more answers

$140 for 18ft squared=?????

andrew11 [14]

Unit rate means how much does it cost for 1 unit
140 for 18ft^2

divide by 18
140/18=7.77777777777777
so the unit rate is $7.78 per square foot

8 0

3 years ago

Read 2 more answers

A street light is at the top of a 25 ft pole. A 4 ft tall girl walks along a straight path away from the pole with a speed of 6

Burka [1]

Answer:

Tip of the shadow of the girl is moving with a rate of 7.14 feet per sec.

Step-by-step explanation:

Given : In the figure attached, Length of girl EC = 4 ft

Length of street light AB = 25 ft

Girl is moving away from the light with a speed = 6 ft per sec.

To Find : Rate ( $\frac{dw}{dt}$ ) of the tip (D) of the girl's shadow (BD) moving away from th

light.

Solution : Let the distance of the girl from the street light is = x feet

Length of the shadow CD is = y feet

Therefore, $\frac{dx}{dt}=6$ feet per sec. [Given]

In the figure attached, ΔAFE and ΔADE are similar.

By the property of similar triangles,

$\frac{x}{21}=\frac{x+y}{25}$

25x = 21(x + y)

25x = 21x + 21y

25x - 21x = 21y

4x = 21y

y = $\frac{4x}{21}$

Now we take the derivative on both the sides,

$\frac{dy}{dt}=\frac{4}{21}\times \frac{dx}{dt}$

= $\frac{4}{21}\times 6$

= $\frac{8}{7}$

≈ 1.14 ft per sec.

Since w = x + y

Therefore, $\frac{dw}{dt}= \frac{dx}{dt}+\frac{dy}{dt}$

$\frac{dw}{dt}=6+1.14$

= 7.14 ft per sec.

Therefore, tip of the shadow of the girl is moving with a rate of 7.14 feet per sec.

3 0

3 years ago