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3 years ago

Which situation can be represented by this inequality?

Mathematics

2 answers:

mash [69]3 years ago

8 0

Answer:

25,000 ≥ 425x + 17,350

We know that x is the number of months. While 425 is the amount of money he is depositing every month. If he were to be spending it would have been a negative -17,350 ,which it is not. So, we can assume that 17,350 is the original amount of money he had in his account. At most would mean he could only have up to 25,000 which correspond with the "25,000 is greater than or equal to 425x + 17,350" So I think the answer is ..............................................................................................................................................B) Chris has $17,350 in his savings account. He will deposit $425 each month. What is x, the number of months Chris must deposit $425 to have at most $25,000 in his savings account?

sasho [114]3 years ago

5 0

Answer:

Step-by-step explanation:

the greater than or less then symbol means at least and $425 means it has to be added in each month.

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Find the distance between (3,4) and (4,-6) if necessary, round to the nearest tenth.

Ratling [72]

Answer:

The distance is:

d = 10.0 units (Rounded to the nearest the Tenths Place)

Step-by-step explanation:

Given the points

(3,4)

(4,-6)

The distance 'd' between (3,4) and (4,-6)

$\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):$

$d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

substituting the points values

$=\sqrt{\left(4-3\right)^2+\left(-6-4\right)^2}$

$=\sqrt{1+10^2}$

$=\sqrt{1+100}$

$=\sqrt{101}$

$=10.0$ units (Rounded to the nearest the Tenths Place)

Thus, the distance is:

d = 10.0 units (Rounded to the nearest the Tenths Place)

4 0

3 years ago

If a cone shaped vase can hold 45 cubic centimeter of water and has a radius of 2 centimeters what is the height of the vase use

xz_007 [3.2K]

Answer:

The height of the vase is $h=10.75\ cm$

Step-by-step explanation:

we know that

The volume of a cone is equal to

$V=\frac{1}{3}\pi r^{2} h$

we have

$V=45\ cm^{3}$

$r=2\ cm$

$\pi =3.14$

substitute and solve for h

$45=\frac{1}{3}(3.14)(2)^{2} h$

$135=(3.14)(4)h$

$135=12.56h$

$h=135/12.56$

$h=10.75\ cm$

3 0

4 years ago

If breadth of a cuboid is one-fourth of its length,height is 5cm and total surface area is 328 cm²,find the length and breadth o

velikii [3]

The length of cuboid is 16 cm and breadth of cuboid is 4 cm.

<h3>How to find the Surface Area of Cuboid?</h3>

A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (L), Breadth (B), and Height (H) of the cuboid and use the formula, SA=2 x ( LB + BH + HL ) , to find the surface area.

Here, We have given that height of the cuboid is 5cm.

Let length of the cuboid = X cm

so, the breadth of the cuboid = $\frac{X}{4}$ cm

also, we have given that total surface area is 328 cm²

Now, put all the values in the formula of Surface Area (SA):

SA = 2 x ( LB + BH + HL )

SA = 2 x ( X²/4 + 5X/4 + 5X )

SA = 2 x ( ( X² + 5X + 20X) / 4 )

SA = ( X² + 5X + 20X ) / 2

X² + 5X + 20X = 328 x 2

X² + 25X = 656

X² + 25X - 656 = 0

using Quadratic Formula: see the attached figure for the formula.

here Discriminant D = b² - 4ac

D = 625 - 4(-656)

D = 3249

on putting value of D or b² - 4ac in the formula we get

X = ( -25 + 57 ) / 2 and ( -25 - 57 ) /2

length can not be negative so we eliminate the second answer.

now, X = 16 cm

breadth = X /4 = 4 cm

Hence, The length of cuboid is 16 cm and breadth of cuboid is 4 cm.

Learn more about " Quadratic Formula " from here: brainly.com/question/2615966

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3 0

2 years ago

Jonathan must determine the solutions of the quadratic equation

irinina [24]

Answer:The answer is C

Step-by-step explanation:

5 0

4 years ago

Estimate the density of aluminium 13.5÷5

kakasveta [241]

Answer:

The density of aluminum according to your equation is 2.7

Step-by-step explanation:

13.5/5 is 2.7

6 0

3 years ago