Malcolm has $638.54 in his checking account. He must maintain a $500 balance to avoid a fee. He wrote a check for $159.50 today. Write and solve an inequality to solve for the least amount of money he needs to deposit to avoid a fee. (2 points)


638.54 + 159.50 − x ≥ 500; x ≥ $298.04

638.54 + 159.50 − x ≤ 500; x ≤ $298.04

638.54 − 159.50 + x ≥ 500; x ≥ $20.96

638.54 − 159.50 + x ≤ 500; x ≤ $20.96

Step-by-step explanation:

Hey there!

Given;

The given figure is a Right angled triangle, taking reference angle as angle B.

Hypotenuse= AB=5

Base= CB= 4

Perpendicular= AC=b

Using Pythagorean theorem.

[tex] {h}^{2} = {p}^{2} + {b}^{2} [/tex]

[tex]p = \sqrt{ {h}^{2} - {b}^{2} } [/tex]

Put all values.

[tex]b = \sqrt{ {5}^{2} - {4}^{2} } [/tex]

[tex]b = \sqrt{25 - 16} [/tex]

[tex]b = \sqrt{9} [/tex]

Therefore, the value of b is 3.

Hope it helps...

Answer:

$2.37

Step-by-step explanation:

if you 13 from 32 and then divide that by 8 you get 2 dollars and 37 cents

Answer:

2.37

Step-by-step explanation:

32-13=19

19/8=2.37

Answer:

30

Step-by-step explanation:

120 divided by 30 is 4, and 150 divided by 30 is 5.

Answer: What is the greatest common factor of 120 and 150? The greatest common factor of 120 and 150 is 30, because 30 is the highest number that is divisible by both numbers.

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

So first I would do...[tex]9x+39+12x-48=180[/tex] first because it'll give me the x value, so....

[tex]9x+39+12x-48=180\\21x-9=180\\21x=189\\x=9[/tex]

So now we know that the x equals 9 so we plug it in for (9x+39) because it's vertical to the other angle across from it and vertical angles are always congruent, so...

[tex]z=9(9)+39\\z=81+39\\z=120[/tex]

so now we know that x=9 and z=120.

Answer:

25.8 %

Step-by-step explanation:

FIrst you need to find how much 1% of sixty two is worth (1.612) then find the difference between values ($16) then multiply these values together to find your answer

Answer:

0

Step-by-step explanation:

They both cancel eachother out.

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

These two equations are perpendicular it's pretty tough to figure it out with the only the equations like last time but if you graph it's more easier because it's visual.

So the equations solved for y is...

[tex]y=-\frac{2}{3} x+\frac{1}{3}[/tex]

[tex]y=\frac{3}{2}x-\frac{1}{2}[/tex]

Answer:m∠1 = 145°

m∠2 = 35°

m∠3 = 35°

m∠4 = 145°

m∠5 = 145°

m∠6 = 35°

m∠7 = 35°

m∠8 = 145°

Step-by-step explanation:

The required value of a is 20°.

In geometry, complementary angles are defined as two angles whose sum is 90 degrees. In other words, two angles that add up to 90 degrees are known as complementary angles.

Now it is given that,

m22 = (a + 15)° and m23 = (a + 35)°

Let m22 and m33 be the angle between HL and HJ.

And since HL is perpendicular to HJ therefore they are complement ot each other.

Thus,

m22 + m23 = 90°

⇒ (a + 15)° +  (a + 35)° = 90°

⇒ a° + 15° +  a° + 35° = 90°

⇒ 2a° +50° = 90°

⇒ 2a° = 90° - 50°

⇒ 2a° = 40°

⇒ a° = 40°/2

⇒ a° = 20°

Thus, the required value of a is 20°.

To learn more about complementary and supplementary angles:

brainly.com/question/17040049

#SPJ2

Answer:

4 days

Step-by-step explanation:

For Jayla:

[tex]Base\ Amount = \$30[/tex]

[tex]Additional = \$12[/tex] daily

For Carlos:

[tex]Base\ Amount = \$50[/tex]

[tex]Additional = \$7[/tex] daily

Represent the number of days with d

Jayla's expression can be represented using:

[tex]30 + 12*d[/tex]

Carlos' can be represented as:

[tex]50 + 7 * d[/tex]

Equate both expressions:

[tex]50 + 7 * d = 30 + 12 * d[/tex]

[tex]50 + 7d = 30 + 12d[/tex]

Collect Like Terms

[tex]12d - 7d = 50 - 30[/tex]

[tex]5d = 20[/tex]

Solve for d

[tex]d = 20/5[/tex]

[tex]d = 4[/tex]

Maths > Mensuration

Mensuration

Suppose you want to put a boundary around your garden or field. For that, you need to find out the length of the boundary. Also, what if you want to find out the area and volume of different geometrical shapes. So this is something we are going to see in his chapter. So let us study the topic mensuration and mensuration formulas in detail.

Cylinder

Circles

Polygons

Rectangles and Squares

Trapezium, Parallelogram and Rhombus

Area and Perimeter

Cube and Cuboid

Question. Explain the use of mensuration in daily life?

Answer. The uses of mensuration in real life are many. Some of these uses are as follows:

Measurement of agricultural fields, and site areas for the purpose of purchase/selling transactions.

Measurement of volumes for packaging solid food items, milk, and liquids.

Measurements of surface areas for the purpose of estimating the painting of houses etc.

Question. What is meant by mensuration?

Answer. Mensuration refers to the branch of mathematics which involves the study of various geometrical shapes. Furthermore, it deals with the areas and Volume of such geometrical figures. So, this subject is all about the process of measurement.

Question. Explain what is the volume in mensuration?

Maths > Mensuration

Mensuration

Suppose you want to put a boundary around your garden or field. For that, you need to find out the length of the boundary. Also, what if you want to find out the area and volume of different geometrical shapes. So this is something we are going to see in his chapter. So let us study the topic mensuration and mensuration formulas in detail.

Cylinder

Circles

Polygons

Rectangles and Squares

Trapezium, Parallelogram and Rhombus

Area and Perimeter

Cube and Cuboid

Question. Explain the use of mensuration in daily life?

Answer. The uses of mensuration in real life are many. Some of these uses are as follows:

Measurement of agricultural fields, and site areas for the purpose of purchase/selling transactions.

Measurement of volumes for packaging solid food items, milk, and liquids.

Measurements of surface areas for the purpose of estimating the painting of houses etc.

Question. What is meant by mensuration?

Answer. Mensuration refers to the branch of mathematics which involves the study of various geometrical shapes. Furthermore, it deals with the areas and Volume of such geometrical figures. So, this subject is all about the process of measurement.

Question. Explain what is the volume in mensuration?

Answer. Any solid occupies some region in space. Furthermore, the magnitude of this region is known as the volume of the solid. A standard unit of volume happens to be the cubic centimetre.

Question. What do we understand by mensuration formula?

Answer. A mensuration formula helps in computing the length-related properties of an object. This computation takes place on the basis of known lengths, areas, etc. Beyer (1987) came forward with a collection of mensuration formulas for the various plane and geometric figures. properties of an object. This computation takes place on the basis of known lengths, areas, etc. Beyer (1987) came forward with a collection of mensuration formulas for the various plane and geometric figures.

Answer:

C,B,D,A

Step-by-step explanation:

Start at 3(X)  and move based on the question

Answer:

1/1

Step-by-step explanation:

i hate math do you hate math?

Answer:

There is no solution

Step-by-step explanation:

7−3r=r−4(2+r)

Step 1: Simplify both sides of the equation.

7−3r=r−4(2+r)

7+−3r=r+(−4)(2)+(−4)(r)(Distribute)

7+−3r=r+−8+−4r

−3r+7=(r+−4r)+(−8)(Combine Like Terms)

−3r+7=−3r+−8

−3r+7=−3r−8

Step 2: Add 3r to both sides.

−3r+7+3r=−3r−8+3r

7=−8

Step 3: Subtract 7 from both sides.

7−7=−8−7

0=−15

Answer:

There are no solutions.

Answer:

The change in available disk space is −6% per episode

Step-by-step explanation:

Given that :

Available disk space changed from 81% to 9% after recording 12 episodes of a show

Each episode requires the same amount of disk space

Change in disk space =

Final % = 9%

Initial percentage = 81%

Change = final value - initial value :

(9 - 81)% = -72%

72% reduction in disk space

Space taken up per episode :

Reduction in space / number of episodes

= -72% / 12

=- 6%

Answer:

x+2y=-7

Step-by-step explanation:

2y + x =-7

x+2y=-7

Answer:

y=4/5x+2

Step-by-step explanation:

Answer:

y=0.8x+2

Step-by-step explanation:

First, you would figure out the slope using the following equation: (y2-y1)/(x2-x1)=slope.

So, (2--2)/(0--5)= 4/5, or 0.8. This would be the slope.

Then, you would figure out b by putting a data point from the given ones. I chose (0, 2).

2=0.8(0) + b --> 2=0 + b --> 2=b

So, the final equation is y=0.8x+2

Answer: C. four million, eight hundred and twelve thousand

Step-by-step explanation:

4,812,000.

When a figure consists of 7 numbers, it is regarded as millions. For example, 8,000,000 is right million on words.

4,812,000 will therefore be called four million, eight hundred and twelve thousand.

Answer:

B

Step-by-step explanation:

Answer:

it means the ratio of x

ex. |-5| = 5 and so on

|7|=7

Answer:

B and d

Step-by-step explanation:

Edge 2020

Answer:

-3.2 and 1.6

Step-by-step explanation:

Answer:

conveyor 1 10/2=5/1

conveyor 2 -8/2=-4/1

conveyor 1 is steeper

Step-by-step explanation:

conveyor 1 goes up 5 ft for every foot it runs where

conveyor 2 goes down 4 ft for every foot it runs

Answer: 18

Step-by-step explanation:

Add them all up

18+21+20+14+17=90

Divide by 5 since that is how many numbers there are

90/5=18

Answer:

the mean is 18

Step-by-step explanation:

you add them all up and then divide by the number of numbers

18+21+20+14+17=90

90/5=18

hey diddle diddle the median is in the middle, you add and divide for the mean the mode is the one that appears the most and the range is the difference between.

Hope this helps!!

Given problem;

   A = [tex]\pi[/tex] r²

   Solve for π;

To solve for π implies that we make it the subject of the expression.

So;

       A = π r²

      Now multiply both sides by [tex]\frac{1}{r^{2} }[/tex]

 So;

                A x [tex]\frac{1}{r^{2} }[/tex]   = [tex]\pi[/tex] x r² x [tex]\frac{1}{r^{2} }[/tex]

              r² cancels out from the right side and leaves only π;

                  π = [tex]\frac{A}{r^{2} }[/tex]

So    [tex]\pi = \frac{A}{r^{2} }[/tex]

Answer:

Step-by-step explanation:

The answer is in the picture above. Sorry for the previous mistake

Answer:

The process in which a solid changes directly to a gas is called sublimation. It occurs when the particles of a solid absorb enough energy to completely overcome the force of attraction between them. Solid carbon dioxide changes directly to the gaseous state. ...

Step-by-step explanation:

Answer:

Step-by-step explanation:

The cube root of 15,409,000 = 248.84 yards.

There are 1760 yards in a mile

One edge of a cube = 248.84 / 1760 = .141386 miles.

So a cube would be .00283cubic miles. Your answer does not reach a hundredth place, I don't think.

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

Explanation:

Assuming the function is f(x) = 5(2)^x, then we replace every x with 3. Then we use the order of operations PEMDAS to simplify. Or we can use a calculator to simplify in one step.

f(x) = 5(2)^x

f(3) = 5(2)^3

f(3) = 5(8)

f(3) = 40

Answer:

(3x-4)(x+3) = 0

x = -3, 4/3

Step-by-step explanation:

3x^2 + 5x = 12

3x^2 + 5x - 12 = 0

(3x-4)(x+3) = 0

x = -3, 4/3