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3 years ago

Solve: 28 − ≥ 7( − 4) (show your work) real answers only pls :(

Mathematics

1 answer:

ohaa [14]3 years ago

6 0

You’ll distribute the 7 from (x-4) so your equation will be
28-x>_ 7x-28
then you’ll combine like terms (-x and 7x and 28 and -28
-56>_ -8x
divide by -8 on both sides and flip your sign
you’re answer is x<_7
x is less then or equal to 7

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The width of a rectangle is 6 2/3 inches. The length of the rectangle is twice its width. What is the perimeter of the rectangle

hichkok12 [17]

A perimeter of a rectangle is:
$2(l+w)$

They give you the width, but let's convert it to an improper fraction first:
$6 \frac{2}{3} = \frac{20}{3}$

The length is twice the width so it is:
$\frac{20}{3}*2 = \frac{40}{3}$

Now, we are ready to solve, plug in values in the perimeter formula:
$2( \frac{40}{3}+ \frac{20}{3}) = 2(\frac{60}{3}) = \frac{120}{3} = 40$

So, 40 is your answer.

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4 years ago

Phylum of the gymnosperms includes only a single living species is called

Drupady [299]

Answer: Conifers

Step-by-step explanation:

Conifers are the only living specie of gymnosperms and are cone bearing seed plants which are needle like and evergreen. Conifers produce pinecones and are common in the cold and boreal region. They are good timbers trees and are used for ornamental purposes. Conifers are the most important and diverse class of gymnosperms with about 588 living species. Examples are pines, cypresses, etc.

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3 years ago

Which expression has the same value as the one below?

mihalych1998 [28]

Answer:

Option A

Step-by-step explanation:

22+(-32) is the same thing as 22-32.

$22-32=-10$

<h3>Let's see if the given options are equal:</h3>

Option A:

$22+(-22)+(-10) \\22-22-10\leftarrow \text{Distribute -1 into the Parentheses.} \\0-10\\\boxed {-10}$

Option A's expression has the same value as the expression given.

Option B:

22+(22)+(-10)

$22+22-10\\44-10\\\boxed {34}$

Option B's expression does not have the same value as the expression given.

Option C:

$22+(-22)+(10)\\22-22+10\\0+10\\\boxed {10}$

Option C's expression does not have the same value as the expression given.

Option D:

$22+0+32\\22+32\\\boxed{54}$

Option D's expression does not have the same value as the expression given.

<h3>The correct answer should be A: 22+(-22)+(-10).</h3>

5 0

3 years ago

Read 2 more answers

You have been asked to build a scale model of your school out of toothpicks imagine your school is 30ft tall. Your scale is 1 ft

Valentin [98]

The height of your scale model will be 37.8cm.
1.26 x 30

6 0

3 years ago

The rate of change of the number of squirrels S(t) that live on the Lehman College campus is directly proportional to 30 − S(t),

pishuonlain [190]

Answer:

S(3)=22

Step-by-step explanation:

The rate of change of the number of squirrels S(t) that live on the Lehman College campus is directly proportional to 30 − S(t).

$\dfrac{dS}{dt}=k(30-S(t))\\ \dfrac{dS}{dt}+kS(t)=30k\\$The integrating factor: e^{\int k dt}=e^{kt}\\$Multiply all through by the integrating factor\\ \dfrac{dS}{dt}e^{kt}+kS(t)e^{kt}=30ke^{kt}$

$(Se^{kt})'=30ke^{kt} dt\\$Integrate both sides\\ Se^{kt}=\dfrac{30ke^{kt}}{k}+C$ (C a constant of integration)\\Se^{kt}=30e^{kt}+C\\$Divide both sides by e^{kt}\\S(t)=30+Ce^{-kt}$

When t=0, S(t)=15

$15=30+Ce^{-k*0}\\C=15-30\\C=-15$

When t = 2, S(t)=20

$20=30-15e^{-2k}\\20-30=-15e^{-2k}\\-10=-15e^{-2k}\\e^{-2k}=\dfrac23\\$Take the natural log of both sides$\\-2k=\ln \dfrac23\\k=-\dfrac{\ln(2/3)}{2}$

Therefore:

$S(t)=30-15e^{\frac{\ln(2/3)}{2}t}\\$When t=3$\\S(t)=30-15e^{\frac{\ln(2/3)}{2} \times 3}\\S(3)=21.8 \approx 22$

8 0

3 years ago