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3 years ago

Which numbers are solutions to the inequality x < −7, using the replacement set {−15, −10.5, −7.2, −7, 0}?

2 answers:

4 0

Find all the number in the set that are less than -7.

The 'bigger' the negative number seems, the smaller it is.

So -15, -10.5, and -7.2 are all less than -7.

Aleonysh [2.5K]3 years ago

4 0

-15<-10.5<-7.2<-7(<0)

x∈{-15, -10.5, -7.2}. These are less than -7

Answer: B, C, D

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The distance d a train travels varies directly with the amount of time t that has elapsed since departure. If the train travels

Anastaziya [24]

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
Below is the solution:

distance = 475
time = 9.5 hrs

since distance and time varies directly

therefore in 9.5 hrs train travels 475 miles => In 1 hr train travels 475 / 9.5 miles = 50 miles
and in 4 hrs train travells 50*4 i.e 200 miles

6 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=3%20%5Cdiv%20153%20%3D%20" id="TexFormula1" title="3 \div 153 = " alt="3 \div 153 = " align="a

beks73 [17]

If you're looking for the simplified version of the fraction, you have to factor both numerator and denominator.

The numerator is actually already a prime number, so we're good

The denominator factors as $153 = 3^2\cdot 17$

So, a 3 appears in both numerator and denominator. We can simplify it:

$\cfrac{3}{153} = \cfrac{3}{3^2\cdot 17} = \cfrac{1}{3\cdot 17} = \cfrac{1}{51}$

If you want to compute the approximated value of this fraction, simply plug these values into some calculator to get

$\cfrac{1}{51} \approx 0.0196078431372\ldots$

5 0

3 years ago

Read 2 more answers

You are designing a rectangular poster to contain 7575 in2 of printing with a 33-in margin at the top and bottom and a 11-in m

erma4kov [3.2K]

Answer:

The dimensions of the rectangular poster is 15 in by 5 in.

Step-by-step explanation:

Given that, the area of the rectangular poster is 75 in².

Let the length of the rectangular poster be x and the width of the rectangular poster be y.

The area of the poster = xy in².

$\therefore xy=75$

$\Rightarrow y=\frac{75}{x}$ ....(1)

1 in margin at each sides and 3 in margin at top and bottom.

Then the length of printing space is= (x-2.3) in

=(x-6) in

The width of printing space is = (y-2.1) in

=(y-2) in

The area of the printing space is A =(x-6)(y-2) in²

∴ A =(x-6)(y-2)

Putting the value of y

$\Rightarrow A =(x-6)(\frac{75}{x}-2)$

$\Rightarrow A = 87-\frac{450}{x}-2x$

Differentiating with respect to x

$A '= \frac{450}{x^2}-2$

Again differentiating with respect to x

$A''=-\frac{900}{x^3}$

To find the minimum area of printing space, we set A' = 0

$\therefore \frac{450}{x^2}-2=0$

$\Rightarrow 450 =2x^2$

$\Rightarrow x^2=225$

$\Rightarrow x=\pm 15$

Now putting x=±15 in A''

$A''|_{x=15}=-\frac{900}{15^3}$

$A''|_{x=-15}=-\frac{900}{(-15)^3}=\frac{900}{(15)^3}>0$

Since at x=15 , A"<0 Therefore at x=15 , the area will be minimize.

From (1) we get

$y=\frac{75}{x}$

Putting the value of x

$y=\frac{75}{15}$

=5 in

The dimensions of the rectangular poster is 15 in by 5 in.

4 0

3 years ago

What is y=-11x-8 in standard form?

djverab [1.8K]

y=-11x-8
11x + y = -8 ...this is standard form

hope it helps

4 0

3 years ago

Read 2 more answers

11. Little Sally Walker has a choice between going to an in-state college where she would pay

nalin [4]

Answer:

Step-by-step explanation:

Lets calculate first for in state college

yearly tuition fees = $3,500

monthly living expense = $700

one year has 12 months so yearly living expense =$700 * 12 = $8,400

Yearly expense of the in state college = yearly tuition fees ($3,500 )+ yearly living expense($8,400) = $3,500 + $8,400 = $11,900

____________________________________________________

Lets calculate first for out of state college

yearly tuition fees = $6,000

monthly living expense = $400

one year has 12 months so yearly living expense =$400 * 12 = $4,800

Yearly expense of the out of state college = yearly tuition fees ($3,500 )+ yearly living expense($8,400) = $6,000 + $4,800 = $10,800

____________________________________________________

3 0

3 years ago