A truck is working to carry a batch of goods including sand and
stone but it can only carry 20 tons at most. The carriage
charges of each ton of sand and stone are 10 and 15 dollars
respectively. Its owner wants to earn at least 250 dollars. Write
a system of inequalities to express this situation. What is the
least possible number of tons of stone the owner needs to
carry to meet his own goal?
tons
Enter the answer
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The equation of the line passing through the point ( -1,-3) will be y = -2x - 5.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

Given that the line passes through the point (-1, -3) and is perpendicular to the line x –2y = 14. the equation of the line will be calculated as:-

Make equation: y = mx + b

x = 2y + 14

2y = x - 14

y = 1/2x - 7

For a line perpendicular, the sign will be opposite and the slope will be reciprocal.

y = -2x + b

-3 = -2(-1) + b, b = -5

The equation of the line will be written as below:-

y = -2x - 5

Therefore, the equation of the line passing through the point ( -1,-3) will be y = -2x - 5.

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Answer:

x = 5

Step-by-step explanation:

5x + 30 and 2x + 45 are alternate exterior angles and are congruent, thus

5x + 30 = 2x + 45 ( subtract 2x from both sides )

3x + 30 = 45 ( subtract 30 from both sides )

3x = 15 ( divide both sides by 3 )

x = 5

Answer:

Option 4 is correct

Step-by-step explanation:

The formula of the Trigonometric Identity Sine is,

[tex]Sin\ \theta=\frac{perpendicular}{hypotenuse}\\\\sin\ 40 =\frac{x}{b}[/tex]

Answer:

[tex](-1.5, 1)[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Endpoint A (-2, 1)

Endpoint B (-1, 1)

Step 2: Find Midpoint

Simply plug in your coordinates into the midpoint formula to find midpoint

Answer:

H

Step-by-step explanation:

Step 1 of 2: Subtract, sub-step b: Convert mixed number to improper fraction.

Convert mixed number to improper fraction

2 and 1 over 32

1

3

= ( 2 × 3 ) over 3

2 × 3

3

+ 1 over 3

1

3

= ( 6 + 1 ) over 3

6 + 1

3

= 7 over 3

7

3

Step 1 of 2: Subtract, sub-step c: Find common denominator.

Find common denominator

32 over 9

32

9

− 7 over 3

7

3

= ( 32 × 1 ) over ( 9 × 1 )

32 × 1

9 × 1

− ( 7 × 3 ) over ( 3 × 3 )

7 × 3

3 × 3

= 32 over 9

32

9

− 21 over 9

21

9

9 is the least common multiple of denominators 9 and 3. Use it to convert to equivalent fractions with this common denominator.

Step 1 of 2: Subtract, sub-step d: Subtract.

Subtract

32 over 9

32

9

− 21 over 9

21

9

= ( 32 − 21 ) over 9

32 − 21

9

= 11 over 9

11

9

Step 1 of 2: Subtract.

Step 2 of 2: Simplify.

Simplify

11 over 9

11

9

= 1 and 2 over 91

2

9

Answer:

117

Step-by-step explanation:

Got it from calucaltor and did it to make sure

Answer:

117

Step-by-step explanation:

Answer:

B. no, the relation is not a function

Step-by-step explanation:

Answer:

360in²

Step-by-step explanation:

The base of the rectangular prism is a rectangle. Since we are to find the area of the base of the cabinet, then we just need to get the area of the rectangle.

Area of a rectangle = Length * Width

Given

Length = 9in

Width = 40in

Area of the base = LW

Area of the base  = 9 * 40

Area of the base  = 360in²

Therefore the area of the base of the cabinet in square inches is 360in²

Solution: [tex]x \ge 11[/tex]

Graph: Closed circle at 11, shading to the right

======================================================

Work Shown:

[tex]x+7 \ge 18\\\\x+7-7 \ge 18-7\\\\x \ge 11[/tex]

In the second step, I subtracted 7 from both sides to undo the "plus 7".

To graph this, we place a closed or filled in circle at 11. Then we shade to the right. The endpoint x = 11 is included as part of the solution set, which is why we use a closed circle instead of an open hole.

This visually describes all values that are equal to 11 or larger than 11.

Answer:

The second one

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I hope this helps you out!

Answer:

yes it is b

Step-by-step explanation:

Answer:

Step-by-step explanation:

if we have 42 students which are divided in group of 4 we will have

42/4=10 groups and 2 students left

if we would have a group out of 3 students, we will have 14 groups and 14 chaperones

a group will have 3 students and one chaperone

42 students and 14 chaperones

Answer:

238 minutes

Step-by-step explanation:

We are told:

In a lighting, green light glows after every 12 seconds, red light glows after every 30 seconds, blue light glows after every 34 seconds and yellow light glows after every 56 seconds.

We solve this question by using LCM Method

We find the Least Common Multiple of 12, 30, 36 and 56

= 14,280 seconds.

Hence, the least time in seconds after which they glow together is 14,280 seconds.

To find the least time in minutes after which they all glow together.​

We convert from seconds to minutes

60 seconds = 1 minute

14280 seconds = x

Cross Multiply

60 × x = 14280 × 1

x = 14280/60

x = 238 minutes

The least time in minutes after which they all glow together.​

238 minutes

Answer:

238 minutes

Step-by-step explanation:

LCM OF 12,30,34,56

= 14280

THEN, 14280 seconds convert to minutes

= 238 minutes

Answer:

Sometimes, “I don't know” or “Let me get back to you” just doesn't cut it. ... Most of the time it's no big deal when you don't have a solid answer right away. ... get back to you,” can risk diminishing your credibility–especially if those are your ... Related: 5 Credibility-Busting Responses You Need To Stop Using .

Step-by-step explanation:

Credibility-Busting Responses You Need To Stop Using .

Answer:

22=4/8 if needed to simplify that is 1/2

Answer:

22. 1/2

23. 11/6

24. 10/19

Step-by-step explanation:

Step-by-step explanation:

seriously I haven't been in a relationship with any guy I hope I will find him soon

Actually I haven't dated anyone

I think 1 time I talked with one boy in online then we started to call then due to cast our relationship ended

eventually I did not broke up he stop talking with me then I asked he told due to cast I can't sit in a relationship with you

fromw that they onwards I have never tex guy in online

so hopee u like my story

Answer:

Step-by-step explanation:

the longest length is always the hypotenuse

Use Pythagorean theorem

a^2+b^2=c^2

5^2+10^2=c^2

c=11.18

Note: if c=13 than it is a right triangle

since 11.18 not=13

not right triangle

Answer:

It is not a right triangle

Step-by-step explanation:

a(squared) + b(squared) = c(sqaured)

a = 13, b = 5, c = 10

13 times 13 is 169

5 times 5 is 25

169 + 25 = 194

but that's not all.

10 times 10 is 100.

the problem is 169 + 25 is 194, not 100. for the triange to be a right triangle, all the numbers have to make sense. i don't know if this helps but again, it is not a right triangle.

Answer:

157

Step-by-step explanation:

Answer:

can you explain what two number you added to get that number "157"

Step-by-step explanation:

Answer:

∠A=∠W

∠Z=∠D

AB=WX

ZY=DC

AD=WZ

Step-by-step explanation:

Answer:

2/25

Step-by-step explanation:

Answer:

Joe will run 22.08 miles in 230 minutes.

Step-by-step explanation:

so Joe running the miles in 1 minute is = 12/125 = 0.096 miles

As Joe runs 0.096 miles in one minute.

Thus, in 230 minutes, Joe will run = 0.096 × 230 = 22.08 miles

Therefore, Joe will run 22.08 miles in 230 minutes.

9514 1404 393

Answer:

  C.  3x² +24

Step-by-step explanation:

Use the given function definitions and simplify.

  [tex]g(f(x))=g\left(\dfrac{1}{3}x^2+4\right)\\\\=9\left(\dfrac{1}{3}x^2+4\right)-12\\\\=3x^2+36-12\\\\\boxed{g(f(x))=3x^2+24}\qquad\textbf{matches C}[/tex]

Answer:

Step-by-step explanation:

Let the original width be x

Then the original length = x + 11

Area = x * (x + 11)

If you decrease each side by 7 you get

Area 1 = (x - 7)(x + 4)

So area - area1 =

x (x + 11) -98 = (x - 7)(x + 4)                  Remove the brackets

x^2 + 11x - 98 = x^2 - 7x + 4x - 28      Combine the like terms

x^2 + 11x - 98 = x^2 - 3x - 28              Add 98 to both sides

x^2 + 11x = x^2 - 3x + 70                     Cancel the x^2

11x = -3x + 70                                       Add 3x to both sides

14x = 70                                               Divide by 14

x = 70 / 14

x = 5

=====================

Original conditions

Answer width = 5

Length = 16

If you check this, you will get totally bizarre answers. Don't check it. It gives negative results. You can do this in math, but not in the real world.

Answer:

add up ??

Step-by-step explanation:

Answer:

haha troll go brrr

Step-by-step explanation:

2,4,5 (actual answer)

2-angle MNP (38) is less than angle ONP (39)

4- they are equal by the reflexive property of congruence op

5-is MNP has a lower angle, side MP should have a longer side

Answer: c

Step-by-step explanation:

bc i said