How far up does the ladder reach on the building?


Round your answer to the nearest hundredth.


A. 6.67 m

B. 3.75 m

C. 0.6 m

D. 15 m

Answer:

  Shop A is more expensive by $11.50 per hour

Step-by-step explanation:

I solved this three ways.

1) The difference in time for the two given charges is (6 -4) = 2 hours. The charge at Shop A for 2 hours is half the charge for 4 hours, so its equivalent rate for 6 hours is ...

  Shop A rate for 6 hours = rate for 4 hours + rate for 2 hours

  = $210 +105 = $315 . . . for 6 hours

This is way more than what Shop B charges for 6 hours.

__

2) The difference in the charges is $246 -$210 = $36 for 2 hours difference in time. This is way less than the equivalent charge from Shop A for 2 hours, so the rate from Shop A is definitely higher.

__

3) In order to answer the question, "how much more expensive?" we expect the rate difference will need to be expressed as a per-hour difference.* This means we have to figure the per-hour charge for each Shop and find the difference of them.

  Shop A = $210/(4 h) = $52.50 /h

  Shop B = $246/(6 h) = $41.00 /h

The rate from Shop A is higher by $52.50 -41.00 = $11.50 per hour.

_____

Comments on How Much More

* Using the first method, the rate difference is $315 -246 = $69 for 6 hours.

Using the second method, the rate difference is difficult to express exactly, but we can say the rate difference of $36 for 2 additional hours at Shop B is exceeded by the $105 expected charge for 2 additional hours at Shop A. That difference rate ($36/(2h)) isn't an actual charge anywhere, but represents a way to tell if the slope of one curve is more or less than the slope of the other.

If the rates were the same at the two shops, the charge at Shop B for 6 hours would be $315 as we figured in the first method, so the difference of $315 -210 = 105 would match exactly the increment at Shop A for 2 hours.

Personally, I see the second method as easiest to compute and most telling. However, to answer the question, "how much more expensive is it?", we needed to use one of the other methods.

Base area of the cuboid = 24 square inches

Solution:

Volume of cuboid formula = length × breadth × height

Ratio of l : b : h = 3 : 2 : 1

Let us take length be 3x, breadth be 2x and height be x.

Volume of cuboid = 48 cubic meter

length × breadth × height = 48

[tex]3x\times 2x \times x = 48[/tex]

[tex]6x^3=48[/tex]

Divide by 6 on both sides of the equation.

[tex]x^3=8[/tex]

[tex]x^3=2^3[/tex]

Taking cube root on both sides, we get

x = 2

Base area of the cuboid = length × breadth

                                        = 3(2) × 2(2)

                                        = 6 × 4

                                        = 24

Base area of the cuboid = 24 square inches

Answer:

36 degrees

Step-by-step explanation:

we know that

The measure of the angle between two consecutive vertices of a  regular polygon is given by the formula

[tex]\frac{360^o}{n}[/tex]

where

n is the number of sides

In this problem

n=10 (regular decagon)

so

[tex]\frac{360^o}{10}=36^o[/tex]

Answer: 25 and 5 sowwy if i'm wrong.

Step-by-step explanation:

So we know that the box is 125 in3. What ___ times ____ is equal to = 125

So we should name the multiples of 125 which is : 1,5,25,125

25 times 5 is = 125 so there's your answer.

Answer:

4.9 x 5.1 x 5.0

Step-by-step explanation:

I just had this question

Answer:

points

Step-by-step explanation:

Answer:

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size.

Step-by-step explanation:

:0

Answer:

48

because area is length time with but because the base is a triangle you have to find the area of the triangle then times it with the width that you have

Answer:

tails tails 26

Step-by-step explanation:

because the coins might not have different sides the probability of the coin landing on the same side 26 times is understandable

hope this helps

Answer:

Step-by-step explanation:

are you doing flvs? if you answer i can delete thi and help you. i mau be able to help ya out..

Answer:

25%

Step-by-step explanation:

1200/960 = 1.25

So it grew by 25%

Answer:

x=12

Step-by-step explanation:

Answer:

x = 12

Step-by-step explanation:

Given

- x + 5x = 48, that is

4x = 48 ( divide both sides by 4 )

x = 12

Answer:

Large Box = 18.5

Small Box = 15.75

Step-by-step explanation:

Let x = large box and y = small box

5x+6y=187

3x+2y=87

cancel out one equation

(5x+6y=187)•3=15x+18y=561

(3x+2y=87)•-5=15x+10y=435

 15x+18y=561

-15x-10y=-435

–––––––––––

 0+ 8y= 126

  8y÷8 =126÷8

y=15.75

Substitute y into either original equation

3x+2(15.75)=87

3x+ 31.5=87

3x+ 31.5-31.5=87-31.5

3x=55.5

3x÷3=55.5÷3

x=18.5

Step-by-step explanation:

[tex] - 4(x + 9) = 24 \\ \\ \therefore \: - 4x - 36 = 24 \\ \\ \therefore \: - 4x = 24 + 36 \\ \\ \therefore \: - 4x = 60 \\ \\ \therefore \: x = \frac{60}{ - 4} \\ \\ \therefore \: x = - 15[/tex]

Mike hiked 11.75 miles to the lake which took Pedro approximately 3.09 hours to cover at his speed.

The subject of this question is mathematics, more specifically the concept of speed, distance, and time. The first step is to calculate the distance that Mike travels. We know that distance equals speed times time, so Mike traveled 3.5 hours * 3 2/5 miles per hour, which equals 11.75 miles. This is the distance to the lake.

Now, we take the same distance and use Pedro's average speed to figure out how long it took him. Using the formula: Time equals Distance divided by Speed, we can calculate Pedro's time as: Time = 11.75 miles / 3 4/5 miles per hour. To simplify the numerical calculation, we turn 3 4/5 into a decimal form, which is 3.8. So, Time equals 11.75 miles / 3.8 miles per hour. This gives us around 3.09 hours, which we would round to 3.09 hours to the hundredths place.

https://brainly.com/question/4931057

#SPJ2

Answer:

No, a rhombus is a quadrilateral, with four equal-length sides and opposite sides parallel to each other. All rhombuses are parallelograms, but not all parallelograms are rhombuses. The opposite interior angles of rhombuses are always congruent. A parallelogram is just a four sided closed shape where opposite sides are parallel.

I hope this helps!

A rhombus is always a parallelogram, and its diagonals are perpendicular. Jake is incorrect in his assertion.

A rhombus is indeed always a parallelogram because a parallelogram is a quadrilateral with opposite sides parallel and a rhombus fits this definition.

To show that the diagonals of a rhombus are perpendicular, we use the fact that the scalar product of perpendicular vectors is zero. By representing the diagonals as vectors, we can demonstrate their perpendicularity.

Therefore, Jake is incorrect in thinking that a rhombus is not always a parallelogram - it is a specific type of parallelogram with additional properties.

Answer: the correct option is (100% of $4) + (10% of $4)

Step-by-step explanation:

Check:

100% of $4

= 100/ 100 x 4

= $4, which is stated as the everyday train fare

10% increase = 10/100 × 4

= 0.1 × 4

= $0.4

New train fare = $4 + $0.4

= $4.4

I hope this helps, please mark as brainliest.

Answer:

6:4,9:6,12:8,15:10

Step-by-step explanation:

Ratios equivalent to 3:2

3:2 = 3/2

1st equivalent = 3×2/2×2 = 6/4 = 6:4

2nd equivalent = 3×3/2×3 = 9/6 = 9:6

3rd equivalent = 3×4/ 2×4 = 12/8 = 12:8

4th equivalent = 3×5/2×5 = 15/10 = 15:10

I hope this was helpful, please mark as brainliest

Final answer:

The amount of pence Jill has is written as x - 6, where x is the amount of pence Jack has.

Explanation:

If Jack has x pence, and Jill has 6 pence less than Jack, then the number of pence Jill has is x - 6. To express this in terms of x, we simply subtract 6 from x. So if Jack's amount of pence is represented by x, Jill's amount will be represented by the expression x - 6. It's similar to saying that if you have a certain number of something and someone else has 6 less, you would calculate the other person's amount by taking the number you have and subtracting 6 from it.

Answer:

-118098

Step-by-step explanation:

Answer: 118098

Step-by-step explanation:

DM

Answer:

students may not truthfully reply as they fear it will affect their grade

Step-by-step explanation:

Answer:

Curly fries=$2.29 per order

Bacon=$4.79 per order

Step-by-step explanation:

let b denote bacon and f denote curly fries.

We represent the situations  using inequalities as:

[tex]2b+3f=16.45\ \ \ \ \ ...i\\\\1f+3b=16.66\ \ \ \ \ ...ii[/tex]

#we make f the subject of the formula in ii and substitute in i:

[tex]f=16.66-3b\\\\\#substitute \ in \ i\\\\2b+3f=16.45\\\\2b+3(16.66-3b)=16.45\\\\\\2b+49.98-9b=16.45\\\\-7b=-33.53\\\\b=4.79\\\\f=16.66-3\times 4.79\\\\=f=2.29[/tex]

Hence, one order of curly fries costs $2.29 and one order of bacon costs $4.79

Answer:

b

Step-by-step explanation:

Answer:

0.21

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

The GCF of 10 and 46 is 2. I hope this helps.

Answer:

The most number of groups she can put it into is 2

Step-by-step explanation:

What Kaya is trying to find the it greatest common factor, or the largest number that can be divided from two numbers.

46 -> 1, 2, 23, 46

10 -> 1, 2, 5, 10

We see that the only two numbers other than 1 match is 2.  This means that the GCF or the greatest common factor is 2.

Answer:  The most number of groups she can put it into is 2

Answer: 15 4/3

Step-by-step explanation:

Final answer:

To find the dimensions of Amanda's rectangular canvas, we use the fact that the width is 4/5 of the length. By setting up an equation and solving for x, we find that x equals 3. Hence, the canvas measures 15 centimeters in length and 12 centimeters in width.

Explanation:

Amanda uses a rectangular canvas for painting where the length is given as 6x - 3 centimeters and the width is given as 2x + 6 centimeters. The width is also said to be 4/5 of the length. To find the dimensions of the canvas, we must set up an equation using the relationship between the width and the length:

Once we have the value of x, we can find the dimensions of the canvas:

So, the dimensions of Amanda's canvas are 15 centimeters in length and 12 centimeters in width.

Hello.

-7h + 2(-4h + 5) > -4h + 1 + 10 ; solve for h

Our first step is to get rid of all the parenthesis. We can do this by simplifying everything out.

-7h - 8h + 10 > -4h + 11

Add like terms.

-15h + 10 > -4h + 11

Now, we must isolate our variables. We do this by moving all variables to one side and moving our other numbers to the other.

Subtract 10 from both sides. Then, add 4h to both sides.

-15h + 4h > 11 - 10

Simplify.

-11h > 1

Divide both sides by -11.

However, keep in mind that when dividing with a negative, you must change the sign. Therefore, > turns into <

-11h ÷ -11 < 1 ÷ -11

h < 1/-11

Therefore, h < -1/11

We are given with an inequality and we need to solve for h . So let's start

[tex]{:\implies \quad \sf -7h+2(-4h+5)> -4h+1+10}[/tex]

[tex]{:\implies \quad \sf -7h-8h+10> -4h+11}[/tex]

[tex]{:\implies \quad \sf -15h+10> -4h+11}[/tex]

Add 4h to both sides

[tex]{:\implies \quad \sf -15h+10+4h> \cancel{-4h}+11+\cancel{4h}}[/tex]

[tex]{:\implies \quad \sf -11h+10> 11}[/tex]

Subtracting 10 from both sides ;

[tex]{:\implies \quad \sf -11h+10-11> \cancel{11}-\cancel{11}}[/tex]

[tex]{:\implies \quad \sf -11h-1> 0}[/tex]

Adding 1 to both sides

[tex]{:\implies \quad \sf -11h-\cancel{1}+\cancel{1}> 1}[/tex]

[tex]{:\implies \quad \sf -11h>1}[/tex]

Now dividing both sides by -11 also , when we divide or multiply an inequality by a -ve , we changes the sign too. So ;

[tex]{:\implies \quad \sf \dfrac{-11h}{-11}< -\dfrac{1}{11}}[/tex]

[tex]{:\implies \quad \sf h< -\dfrac{1}{11}}[/tex]

[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{h\in \left(-\infty ,-\dfrac{1}{11}\right)}}}[/tex]

Answer:

https://w w w .y o ut u b e. c o m / wa tc h ?v =z 5  0C 1b 2s O5 M

Answer: maybe divide the rectangle

Step-by-step explanation:

To find the answer of polygen

Answer:

x=-10

Step-by-step explanation:

first put "x" on one side and the constants on the other

the equation becomes 2x=-20 or -2x=20

both cases divide by 2 and the answer becomes x=-10

or if you end up with -x=10 just multiply by -1 and it ends up the same

Answer:

36.1g

Step-by-step explanation:

29mi ..... 1 g

1047mi....x

x=1047×1/29=36.1g

Answer:

36.1 Gallons of gas

Step-by-step explanation:

x= gallons of gas

1047=29x

1047/29=x

36.1=x

36.1 gallons of gas