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3 years ago

If 3t - 7=5t, then 6t=?

Mathematics

1 answer:

Eddi Din [679]3 years ago

5 0

Minus 2t both sides
-7=2t
times 3 both sides
-21=6t
6t=-21

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How many envelopes are there in 7 packages

miss Akunina [59]

Normally 7 envelopes but on rare occasions, there may be more due to If the packages are filled with Envelopes. Also depending on if the 7 packages are boxes of envelopes, and in that case, 140 envelopes times 7, which would be 980 envelopes in the 7 packages. 140 * 7 = 980.

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4 years ago

The perimeter of a fence must be no larger than 500 feet in length. The longer side of the fence must be 10 feet more than twice

Lady bird [3.3K]

Answer:

<em>The shortest side of the fence can have a maximum length of 80 feet</em>

Step-by-step explanation:

<u>Inequalities</u>

To solve the problem, we use the following variables:

x=length of the longer side

y=length of the sorter side

The perimeter of a rectangle is calculated as:

P = 2x + 2y

The perimeter of the fence must be no larger than 500 feet. This condition can be written as:

$2x + 2y \le 500$

The second condition states the longer side of the fence must be 10 feet more than twice the length of the shorter side.

This can be expressed as:

x = 10 + 2y

Substituting into the inequality:

$2(10 + 2y) + 2y \le 500$

This is the inequality needed to determine the maximum length of the shorter side of the fence.

Operating:

$20 + 4y + 2y \le 500$

Simplifying:

$20 + 6y \le 500$

Subtracting 20:

$6y \le 500 - 20$

$6y \le 480$

Solving:

$y \le 480 / 6$

$y \le 80$

The shortest side of the fence can have a maximum length of 80 feet

4 0

3 years ago

Eliminate the parameter,t, in the parametric equation, x=6cos t, and y =3 sin t

german

X = 6 cos(t)
y = 3 sin(t)

we can rewrite these equations as:

$\frac{x}{6}=cost(t) \\ \\ \frac{y}{3} =sin(t)$

Taking squares of both equations we get:

$( \frac{x}{6})^{2}=sin^{2} (t) \\ \\ 
( \frac{y}{3})^{2}=cos^{2}(t)$

Adding both the equations, we get:

$\frac{ x^{2} }{36}+ \frac{ x^{2} }{9}=sin^{2}(t)+cos^{2}(t) \\ \\ 
 \frac{ x^{2} }{36}+ \frac{ x^{2} }{9}=1$

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3 years ago

97. An elevator in a tall building goes up 7 floors, then

Komok [63]

so, start floor = x

x + 7 - 9 - 4 + 8 - 2 = 14

x = 14

the elevator started on the 14th floor.

to verify: 14 + 7 = 21 - 9 = 12 - 4 = 8 + 8 = 16 - 2 = 14

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3 years ago

Volume of prism? (I am in middle school.)

Alecsey [184]

Answer:

b=bh

Step-by-step explanation:

3 0

4 years ago

Read 2 more answers