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Jon drives a total of 38 miles each day to take his children to and from school. The children go to school 5 days a week. Jon's vehicle gets 29 miles per gallon of gas. About how many gallons of gas does Jon need to take his children to and from school each week?

Answer:

13.9

Step-by-step explanation:

13.85 feet far up the side of the house will the ladder reach now.

Given that, a 26 feet ladder is set against the side of a house so that it reaches up 24 feet.

In mathematics, you can calculate the height of an object using the distance and angles. Here distance is the horizontal distance between the object and the angle is the angle above the horizontal of the top of the object, which gives the height of the object.

Let the distance between base of house to foot of the ladder be x.

Using Pythagoras theorem 26²=24²+x²

⇒ 676 = 576 + x²

⇒ x² = 100

⇒ x =10 feet

Mila grabs the ladder at its base and pulls it 12 feet farther from the house.

Now, the distance between base of house to foot of the ladder = x+12

= 10+12 = 22 feet.

So, up the side of the house the ladder reach = 24-h

Then, 26² = (24-h)²+22²

⇒ 676 = (24-h)²+484

⇒ (24-h)² = 192

⇒ (24-h) = √192

⇒ (24-h) = 13.85

⇒ h = 24-13.85

⇒ h = 10.15 feet

Therefore, 13.85 feet far up the side of the house will the ladder reach now.

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The area of a rectangle if the length is 5 more than 4 times the width, the algebraic expression for this is, A = (4b + 5) × b

An area is total space occupied by two-dimensional or flat surfaces. In other words we can say that it is a number of unit squares present in a closed figure. We use various units for measurement of area like, cm², m², ft², mm².

Given that,

The length is 5 units more than 4 times the width

Suppose,

length = l

width = b

So, according to given condition

l = 4b + 5

Now, the area for rectangle is

A = length × width

A = l × b

A = (4b + 5) × b

Hence, the algebraic expression is (4b + 5) × b

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Answer:

Step-by-step explanation:

-4(3x+2)-5x

-12x - 8 - 5x

Solving like terms

-17x - 8

If you want to find the value of x then

-17x - 8 = 0

-17x = 8

x = 8/-17

Answer: -17x - 8

Step-by-step explanation:

First, we distribute the -4 into the parenthesis:

-4(3x + 2) - 5x

-12x - 8 - 5x

Now, we combine like terms:

-12x - 8 - 5x

-17x - 8

You can't simplify this expression any further because of the variable, so this is your final answer :)

Answer:

Step-by-step explanation:

Possible options are 1 or 2 as each has odd number of negative coefficients.

Open parenthesis and verify:

Responder:

243

Explicação passo a passo:

Dado que :

Número inicial de bananas = 272

Número de bananas devolvidas com = 129

Para obter o número de bananas vendidas, usamos a operação de subtração do número de bananas com que ela saiu de casa e do número de bananas com que voltou.

Portanto, número de bananas vendidas:

372 - 129 = 243

Answer:

C

Step-by-step explanation:

We can cross A and B off cause it involves multiplication

We can cross D off cause 3 + 3 + 3 = 9, not 27

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4300( 4308.08)

Your welcome

So all you have to do is multiply the radius by itself. So in this case 14x14=196.

So then multiply that by pi aka 3.14. So 196x3.14=615.44 then multiply that by your height in this case its 7 So 615.44x7=4308.08

Answer:

D. (8,0), (4,0)

Step-by-step explanation:

they both on tha line

Answer:

K

Step-by-step explanation:

By altering the initial height, you change the h-intercept. That will affect the maximum height and the t-intercept.

Answer: K

Answer:

post a new question so we can talk

Step-by-step explanation:

Answer:

3 miles per hour

Step-by-step explanation:

It is given that Diego and his friends took part in a walk a thon to raise money for cancer research.

From the table, it is given that:

Time took by Diego in hours = 2 hours

Miles walked by Diego in miles = 6 miles

Therefore, Diego is walking with a speed of = [tex]$\frac{6}{2}$[/tex]

                                                                          = 3 miles per hour

Answer:

D 53 is the answer I just took the test

Answer: 53

Step-by-step explanation: taking the test

Answer:

Length = 7cm

Breadth = 4cm

Step-by-step explanation:

The shape of the room is original my in a square shape

Area of a rectangle = Length × Breadth

Area = 28 cm²

Length = L - 1

Breadth = B + 2

Hence

28 = (L - 1)(B + 2)

b(b + 3) = 28

b² + 3b = 28

b² + 3b - 28 = 0

b² +7b - 4b - 28 = 0

Answer:

m∠CBD=68°

Step-by-step explanation:

BA is perpendicular to BD, meaning they form a right angle (90°)

This means m∠CBD + m∠ABC=90, or they are supplementary.

We have expressions given for these angles, so

4x+52+8x-10=90

12x+42=90

12x=48

x=4

Knowing x=4, we can substitute back into our expression for m∠CBD because that's what we're looking for.

4(4)+52=68

m∠CBD is 68°.

Answer:

709,831

Step-by-step explanation:

709,831

Answer:

709831

Explanation

[tex]\frac{1}{2}q = - 24\\q = - 24 * 2\\q = - 48[/tex]

Answer:

The answer is q= -48

Step-by-step explanation:

The steps to solve are:

Combine multiplied terms into a single fraction.

Next, multiply by one.

Then, eliminate common denominators.

After that, cancel multiplied terms that are in the denominator.

Finally multiply the numbers.

Answer:

no

Step-by-step explanation:

Using the converse of Pythagoras' identity

If the square of the longest side is equal to the sum of the squares of the other 2 sides then the triangle is right.

longest side = 17 and 17² = 289

9² + 12² = 81 + 144 = 225 ≠ 289

Then the triangle is not right

1 cc (cubic centimeter) refers to a unit of volume in the metric system. It is equal to one cubic centimeter, which is equivalent to one milliliter (ml).

The abbreviation "cc" is commonly used in medical and scientific contexts to represent small volumes, especially when measuring liquids or medications.

A cubic centimeter (cc) is a unit of volume that is commonly used in the metric system. It is equivalent to a cube with edges measuring one centimeter each. The cubic centimeter is often used to measure the volume of small objects or quantities of liquids.

To better understand the size of a cubic centimeter, it can be visualized as the volume occupied by a sugar cube or a small dice. It is a relatively small unit of volume, and larger volumes are typically expressed in terms of liters or cubic meters.

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Answer:

69.3 meters squared

Step-by-step explanation:

1) Think of the shape as being divided into two sections (a rectangle and a triangle)

2) multiply 5.2 times 7 to find the area of the rectangle (36.4)

3) subtract 5.2 from 14.6 to find the base of the triangle (9.4)

4) multiply 9.4 by the height of the triangle 7 (65.8)

5) divide 65.8 by two because a triangle is half of the needed rectangle

6) this leaves 32.9

7) add 32.9 and 36.4 to get your final answer of 69.3 meters squared

hope this helps :)

Answer

what is the equation equal to

Step-by-step explanation:

If thats the only thing they give it is (2x-4)(2x-4)

Answer:

4x - 16

Step-by-step explanation:

2x x 2x = 4x (2x^2)

4 x 4 = 16 (4^2)

You had to distribute that ^2.

Keep the SUBTRACTION sign.

therefore your answer is:

4x - 16

Answer:

l = 16 cm

Step-by-step explanation:

Let's set the width of the rectangle as "w" and the length of the rectangle as "w/2 + 9".

The perimeter of a rectangle is calculated by adding up the value of all of its side lengths. Therefore, we can find the perimeter using 2l + 2w = P.

We can substitute 60 for P and w/2 + 9 for l.

Substitute w = 14 into the equation for length l.

The length of the rectangle is 16 cm.

Answer:

6x10⁹

Step-by-step explanation:

so we regroup them

(2×3)×(10⁵×10⁴)

6×10⁵+⁴

=6×10⁹

Answer:

Below.

Step-by-step explanation:

(2 x 10^5) x (3 x 10^4)

= 2 x 3 x 10^5 x 10^4

= 6 x 10^(4+5)

= 6 x 10^9.

Answer:

x = 6

Step-by-step explanation:

In the picture :) Hope that helped!

Answer: The greatest common factor od 12 and 18 is 6

Step-by-step explanation:

cos 48° = b / √(a²+b²)

tan 48° = a/b

sin 48° = a / √(a²+b²)

Answer:

Step-by-step explanation:

By zero product property,

Zeros of the given quadratic equation,

m² - 121 = 0

m² - (11)² = 0

(m + 11)(m - 11) = 0

m = -11. 11

Option C is the answer.

9x² - 3x - 2 = 0

9x² - 6x + 3x - 2 = 0

3x(3x - 2) + 1(3x - 2) = 0

(3x + 1)(3x - 2) = 0

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

Option B is the answer.

4x² + 2x - 6 = 0

2x² + x - 3 = 0

2x² + 3x - 2x - 3 = 0

x(2x + 3) - 1(2x + 3) = 0

(x - 1)(2x + 3) = 0

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

Option A is the answer.

Answer:

Both are true

Step-by-step explanation: When the letter has this (') that means it parallel

aka being mirrored