Mary used 1/2 of a can of paint to cover 1/8 of the outside of her house. How many cans of paint will Mary need to cover the entire outside of her house?

Answer:

x= 16 ft

length = 4 ft

width = 11 ft

Step-by-step explanation:

The area is length* width

so the length is ( x - 12 )

and the width is ( x - 5 )

the area is 44ft

so now set up an equation and solve for x

( x - 12 ) ( x - 5 ) = 44

distribute

x^(2) - 17x + 60 = 44

inverse operations

x^(2) - 17x + 60 = 44

                - 60     - 60

x^(2) - 17x = -16

factor

x^(2) - 17x = -16

x ( x - 17 ) = -16

now it is pretty clear that the answer is:

x = 16

just substitute it into the equation and check

( x - 12 ) ( x - 5 ) = 44

( 16 - 12 ) ( 16 - 5 ) = 44

( 4 ) ( 11 ) = 44

44 = 44

this also shows that

the length is 4

because:

( x - 12 )

= ( 16 - 12 )

= 4

and the width is 11

because:

( x - 5 )

= ( 16 - 5 )

= 11

Answer:

45.6

Step-by-step explanation:

We can write a proportion to solve

12 roses     18 roses

------------ = -----------

30.4            x

Using cross products

12x = 30.4 * 18

12x=547.2

Divide each side by 12

12x/12 = 547.2/12

x = 45.6

Answer:

I belive it is the theme that is the most affected.

Step-by-step explanation:

Answer:

answer is the setting!!!!!!!!!!!!!!!!!!!!!

Answer:

1½ mile

Step-by-step explanation:

Given

3/10 mile = ⅕ hour

Required

Determine the distance in 1 hour

Since rate is constant, we have:

3/10 mile = ⅕ hour

Multiply both sides by 5

5 * 3/10 mile = ⅕ hour * 5

15/10 mile = 5/5 hour

3/2 mile = 1 hour

1½ mile = 1 hour

Hence,the child will walk 1½ mile in 1 hour

Answer:

415 ft/s

Step-by-step explanation:

I've attached a diagram showing the triangle formed between the plane, the person and the radio tower.

From the attached diagram, x represents the position between the person and the position on the ground directly below the airplane while s represents the distance between the person and the plane.

The constant elevation remains 4090 ft while the value of x and s varies with time.

Thus, x varies with respect to time as dx/dt while s varies with respect to time as ds/dt.

Now, we are told that the plane is flying at the rate of 700 ft/s. This means that; dx/dt = 700 ft/s

Now we want to find the rate at which the distance between the person and the plane is increasing when the plane passes over the radio tower.

This means that we want to find ds/dt when x = 3010 ft

From pythagoras theorem if x = 3010 ft and the Elevation remains 4090 ft, we can find s as;

s = √(4090² + 3010²)

s = √25788200

s ≈ 5078.21 ft

Since we want to find ds/dt at x = 3010 ft, from the diagram, we can say from pythagoras theorem that;

x² + 4090² = s²

Differentiating x and s with respect to t, we have;

2x(dx/dt) = 2s(ds/dt)

2 will cancel out to give;

x(dx/dt) = s(ds/dt)

ds/dt = (x/s)(dx/dt)

Plugging in 700 for dx/dt, 3010 for x and 5078.21 for s, we have;

ds/dt = (3010/5078.21) × 700

ds/dt ≈ 415 ft/s

Answer:

21 calouris

Step-by-step explanation:

5250/250

Answer:

500

Step-by-step explanation:

250 X 7 = 1750

5250 - 1750 = 3500

3500 divided by 7 =500

Answer:

2.449489743

Step-by-step explanation:

6 candy boxes

Step-by-step explanation :

Since they both bought their own popcorn that means they both spent $8 on popcorn making that a total of $16. Therefore we now only need to find one variable which is the number of candy boxes that they bought in order to reach the $25 total that they spent. This variable can be represented as x in the following algebraic equation.

(2*8) + 1.50x = 25

16 + 1.50x = 25 ... subtract 16 from both sides

1.50x = 9 ... divide both sides by 1.50

x = 6

Finally, we can see that Billy and Tommy bought a total of 6 candy boxes.

Answer:

This is the answer on Delta Math

Step-by-step explanation:

Answer:

side C'D' = 2.8 units

Step-by-step explanation:

Recall that a rotation does NOT change the dimensions and angles of the triangle, therefore side C'D' should have the same length as the original side CD (which is 2.8 units)

Therefore side C'D' = 2.8 units

Answer:

positive 9

Step-by-step explanation:

Answer:

the answer is positive 9

Step-by-step explanation:

just positive 9

Answer: rotation of 180' clockwise about the origin and then dilation with a scale factor of -1, centered at the origin

Step-by-step explanation:

Two triangles are congruent if all the corresponding angles are equal, and if the corresponding side lengths are equal.

Now, this means that if we have a given triangle, and we apply a dilation/contraction, then the resultant triangle will have different side lengths than the initial triangle, then those two triangles can not be congruent.

So we can already discard all the options with dilations.

Now, remember how the dilation works.

If we have a point that is at a distance L of the origin, and we do a dilation of scale factor K centered at the origin, then the new distance of the point and the origin will be K*L.

Notice that if the scale factor is equal to 1, then there is no change.

In the options, we have one where the scale factor is -1.

The minus sign means that will cause the enlargement to appear on the other side of the center of enlargement. But the scale factor still is of absolute value 1, so it will not change anything.

Then the only option that not dilates the triangle is:

Rotation of 180' clockwise about the origin and then dilation with a scale factor of -1, centered at the origin

So this is the only transformation that results in a figure congruent to the triangle ABC

Answer: 23+x=6

-23 -23

1x/1 -17/1

x=-17

Step-by-step explanation:

Answer:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

 -6*x-(23)=0  

Step by step explanation :

Pulling out like terms

Pull out like factors :

-6x - 23  =   -1 • (6x + 23)  

Solving a Single Variable Equation:

2.1      Solve  :    -6x-23 = 0  

Add  23  to both sides of the equation :  

                     -6x = 23

Multiply both sides of the equation by (-1) :  6x = -23

Divide both sides of the equation by 6:

                    x = -23/6 = -3.833

Therfor the answer is : x = -23/6 = -3.833

Answer:

the answer is 4800

Answer:

What is mental math?

Mental math is definitely what it sounds like—doing math in your head. But it’s also more nuanced than that. Being good at mental math tricks doesn’t mean that you’re able to solve 8974387 x 396 in your head instantly; while cool, that wouldn’t be very practical for daily life. So what does mental math mean?

It really just means being able to calculate in your head. It doesn’t mean you can solve every type of problem every time, nor is it a skill that you either “have” or “don’t have”; it’s a skill that you can learn, practice, and improve so that you can solve a bigger range of problems. And mental math certainly doesn’t have to be entirely in your head, either. Jotting down the numbers you need to remember to give you a head start (no pun intended), or writing down your solutions at each “step,” does not negate the “mental”-ness of the math.

Is mental math useful?

Ask this question again next time you’re trying to figure out a tip or doing any kind of construction or home improvement project! And, in addition to handy practical uses, knowing how to do mental math can also just keep your brain sharp and curb your reliance on calculators. Because, come on, doesn’t it feel good to reach for a calculator only to realize, “Wait, I don’t need it!” and figure out the answer in your head? (Spoiler: It does!) Not to mention knowing how to mentally solve small, simple math problems can save you some steps and help you out if you do need to solve a more complicated, difficult problem. There are always going to be some math problems that it would be silly to not solve with a calculator, but, yes, mental math is useful. And if you’re wondering if math itself is useful, math lessons you’ll actually use in real life.

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

-8 is less than -4. Negative numbers reverse the logic of positive ones: since positive 8 is more than positive 4, negative 8 is less than negative 4.

Answer:

I am pretty sure it is

y >_ 20(0.061)^t

t >_ 0

Step-by-step explanation:

Answer:

8.84

Step-by-step explanation:

Answer:

8.84

Step-by-step explanation:

9514 1404 393

Answer:

  367.92

Step-by-step explanation:

72 = 9·8

In order for the total cost to be divisible by both 8 and 9, it must meet a couple of requirements:

In order for the sum of digits to be divisible by 9, the first and last digits must total 5 or 14. (The total of existing digits is 22. The sum needs to be 27 or 36.)

In order for the last three digits to be divisible by 8, the last digit must be 2*. So, the first digit must be 5-2=3.

The first digit is 3; the last digit is 2.

The total cost is 367.92. Each item price is 367.92/72 = $5.11.

_____

* 790/8 = 98.75, so (790 + 2)/8 will be 99. 792 is the only number starting with 79 that is divisible by 8.

Answer:

I believe that your answer is C and Moon.

Answer:

2000

Step-by-step explanation:

5*50=250 mg

250*4=1000 mg

1000*500=500 m

4*500=2000

It would take 2,000 ants to hoist a 500-gram bag of sugar.

the property of having suitable proportions in terms of size, number, degree, harshness, etc.: If a defensive action against an unfair attack results in the destruction that contravenes the proportionality criterion, it may even go far beyond a justifiable defense.

Given, most ants can lift 50 times their own weight.

also given every ant has 5 mg weight.

So, 1 ant can lift = 5mg * 50 = 250mg

Since 1 gram has 1000 mg

Ant can lift = 1/4 grams

thus,

1/4 gram of sugar can be lifted by = 1 ant

1 gram of sugar can be lifted by = 4 ant

500 grams of sugar can be lifted by = 4 * 500 ant = 2000 ants

Therefore, 2000 ants would it take to lift a 500-gram bag of sugar.

Learn more about proportionalities here:

https://brainly.com/question/3254974

#SPJ2

Answer:

What do you need help with?

9514 1404 393

Answer:

  -8 ≤ x ≤ 2

Step-by-step explanation:

We assume you intend the absolute value equation ...

  [tex]|x+3|\le5\\\\{-}5\le x+3\le5\qquad\text{rewrite as a compound inequality}\\\\\boxed{{-}8\le x\le2}\qquad\text{subtract 3}[/tex]

Answer:

-19

Step-by-step explanation:

Answer:

-19

Step-by-step explanation:

Answer:

I think it might be zero

Step-by-step explanation:

you might want to look into this all the way beforyou trust put it into*

Answer:

y=−7/2x−5/2

Step-by-step explanation:

Find the negative reciprocal of the slope of the original line and use the point-slope formula  

y−y1=m(x−x1)  to find the line perpendicular to  y=2/7x+11/7.

Answer:

x= 15/19 = 0.789

Step-by-step explanation:

Answer: 0.789 is the correct answer plz brainliest big brother

Answer:

Drawing an ace of spades and then drawing another ace of spades without replacement from a standard deck of cards.

Step-by-step explanation:

Given four pair of events:

1. Drawing an ace of spades and then drawing another ace of spades without replacement from a standard deck of cards

2. Drawing a 2 and drawing a 4 with replacement from a standard deck of cards

3. Drawing a heart and then drawing a spade without replacement from a standard deck of cards

4. Drawing a jack and then drawing a 7 without replacement from a standard deck of cards

To find:

Which of the pairs is mutually exclusive?

Solution:

First of all, let us have a look at the definition of mutually exclusive events.

Mutually exclusive events do not have any case in common.

In other words, two events are known as mutually exclusive when both the events can not occur at the same time.

Now, let us have a look at the given options one by one:

1. Drawing an ace of spades and then drawing another ace of spades without replacement from a standard deck of cards.

We know that there is only one ace of spades in a standard deck.

Therefore, the two events can not occur one after the other, so these are mutually exclusive events.

2. Drawing a 2 and drawing a 4 with replacement from a standard deck of cards.

The two events can occur one after the other, so these are not mutually exclusive.

3. Drawing a heart and then drawing a spade without replacement from a standard deck of cards.

Separate cards are drawn one after the other, so not mutually exclusive.

4. Drawing a jack and then drawing a 7 without replacement from a standard deck of cards.

Separate cards are drawn one after the other, so not mutually exclusive.