Ex 2: A car can get 10 miles on 1 ½ gallons of gas. How many gallons of gas are needed
if you need to go 150 miles?

Answer:

10 feet

Step-by-step explanation:

Given that the distance to be reached is 8 feet above ground and she she placed a ladder so that it reached the bottom of the window, the base of the ladder was 6 feet from the house, the length of the ladder considered with the other lengths forms a right angled triangle.

The length of the ladder represents the hypotenuse side hence using pythagoras theorem

F^2 = 8^2 + 6^2

where F is the length of the ladder in feet

F^2 = 64 + 36

= 100

find the root of both sides

F = 10 feet

The ladder is 10 feet long

Answer:

Mr Nelson will sell 115 more bottles of water than popcorn. First, you find the rate of popcorn and water being sold. That will be 147 bags divided by 3 and 216 bottles divided by 3. You get 49 bags and 72 bottles. You subtract those two numbers, 72-49=23. 23 is the number more waters sold than the popcorn. Finally, you multiply 23 by 5 days and you get 115. So it's 115 more waters sold than popcorn.

Step-by-step explanation:

Answer:

21×5 = 105.

14×5=70.

105-70 =35

Answer:

5-(-7)

Step-by-step explanation:

It will be positive 12

Answer:

12

Step-by-step explanation:

5 - (-7)

5 + 7

12

Answer:

3.45 m

Step-by-step explanation:

as we know that

1cm=100m

Divide by 100

345/100=3.45 m

The cost of 2 pounds of cashews will be;

⇒ $9.98

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

At the grocery store,

Henry bought c pounds of cashews for $4.99 per pound.

Now,

Since, Henry bought c pounds of cashews for $4.99 per pound.

Hence, The cost of 1 pound of cashews = $4.99

So, The cost of 2 pounds of cashews = 2 × $4.99

                                                          = $9.98

Learn more about the multiplication visit:

https://brainly.com/question/10873737

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Answer:

12x^3+x^2-9x+2

Step-by-step explanation:

(4x-1)(3x-2)(x+1)

(12x^2-8x-3x+2)(x+1)

(12x^2+(-8x-3x)+2)(x+1)

(12x^2-11x+2)(x+1)

12x^2(x+1)-11x(x+1)+2(x+1)

12x^3+12x^2-11x(x+1)+2(x+1)

12x^3+12x^2-(11x^2+11x)+2(x+1)

12x^3+12x^2-11x^2-11x+2x+2

12x^3+(12x^2-11x^2)+(-11x+2x)+2

12x^3+x^2-9x+2

Answer:

I think the option B suits the most

Step-by-step explanation:

Answer:

i think its 2,4, and 5

Step-by-step explanation:

Answer:

83 is the volume according to my best knowledge and remembrance of Geometry. I hope these calculations help!

Step-by-step explanation:

Since a right triangle is established upon the indication of the right angle marking, and the 50 degree marking is apparent around the one of the legs, the resulting angle of the right triangle unidentified is 40 degrees. Now, the formula is 1/3 × (the area of the base) × (the height), where finding the base area dictates that we apply Area = (3√3 s^2)/ 2, where s = side length, (3√3 (4)^2)/ 2 = 24√3, Substitution Property of Equality: 1/3 * 24√3 * x; find x, "the radius of a hexagon is equal to the length of one side" (mathblog), use the cosine ratio because cosine = adjacent over hypotenuse, cos(50) = 4 (according to the length of side equal radius of hexagon)/x = 6, 1/3 * 24√3 * 6 = 48√3 = 83 is the volume.

Answer:

x=-7

Step-by-step explanation:

-30=5(x+1)

6-1(x+1)

x=-1-6

=-7

The answer is [tex]x=-7[/tex]

Answer:

g(x)=2[tex]\sqrt{x+1}[/tex]-2

Step-by-step explanation:

if f(x)=2[tex]\sqrt{x}[/tex] then g(x) shifted down 2 and left 1 would be g(x)=2[tex]\sqrt{x+1}[/tex]-2

Answer:

where is the picture

Step-by-step explanation:

I need the triangle to be able to solve this for you

Hope this helps.................

Answer:

x = 57°

Step-by-step explanation:

angles on a straight line add up to 180°. to work out x, we need to subtract 70 and 53 from 180, to get the remaining angle, aka angle x. 180-70=110.

110-53= 57. therefore, x = 57°.

The measure of angle x in the straight line ABC is 57 degrees

An equation is an expression that shows the relationship between two or more numbers and variables.

From the diagram:

x + 53 + 70 = 180° (sum of angles in a straight line).

Hence:

x = 57°

The measure of angle x in the straight line ABC is 57 degrees

Find out more on equation at: https://brainly.com/question/2972832

Answer:

nr. 1 and 3 is a Dilation 2 and 4 are not Dilations

Step-by-step explanation:

Dilation is an elnargment or shink of a figure by a x(factor) that makes the SAME image but smaller or larger

Answer:

"A relative frequency distribution is a table that shows the relative frequency for all categories as shown below. Notice that the sum of the relative frequencies is always equal to 1. The percentage of a category is found by multiplying the relative frequency of that category by 100."

Credits To: statistics-made-easy.com › what-is-relative-frequency

Answer:

1. R = 8 ohms 2. V = 32 volts

Step-by-step explanation:

Voltage, V = 16 V

Current, I = 2 A

We need to find the resistance of the circuit. Using Ohm's law,

V = IR

So,

[tex]R=\dfrac{V}{I}\\\\R=\dfrac{16}{2}\\\\R=8\ \Omega[/tex]

2. Current, I = 8 A

Resistance, R = 4 ohms

We need to find the voltage of the circuit. Using Ohm's law again,

V = 8 × 4

V = 32 volts

Hence, this is the required solution.

Answer:

x = -5

Step-by-step explanation:

Angles "50" and "x+55" are alternate interior angles which means that they are the same.

So 50 = x + 55

That leaves you with x = -5

Answer:

6 1/4 x 3/4

25/4 x 3/4

Step-by-step explanation:

Marc freezes only a proportion of the pounds of granola, the expression for this proportion can be determined by multiplying the total pounds of granola by the fraction he wants to freeze

6 1/4 x 3/4

25/4 x 3/4

Answer:

0.11

Step-by-step explanation:

The answer would be 0.11, i just used a calculator lol

Answer:

its 126

Step-by-step explanation:

Answer:

Step-by-step explanation:

add all amount of birds he saw together to get 140, take 300 and divide it by 140 to get 2.14 now take the amount of blue jays times 2.14 to get 126

Answer:

The answer is A.

Step-by-step explanation:

A sample space is the list of all possible outcomes. Only answer A displays all of them. In B, 2 wins/loss combinations are not possible if you play three games. The same goes for C and 4 win/loss combinations. While D has some possible outcomes, it does not list them all.

Answer:

A just did the exam

Step-by-step explanation:

Answer:

I'll do your Home work Just post the questions

Answer:

I will help you too if I know the answer

Step-by-step explanation:

Answer:

Im pretty sure its c and d

Answer:

Try and start at the line?

Step-by-step explanation:

what do you mean bruv?

N O R M A L people put the answer up top

the formula is a^2+b^2=c^2

A and B are the sides doesn't matter which

C is always across from the right angle

so fill x in accordingly

4^2+3^2=x^2

16+9=

25= x^2

square root both 25 and x^2

25 becomes 5

x^2 becomes x

x=5

and just apply this to the other problems

Area of a triangle = (1/2)*base*height

For both of the triangles, you have the base (8.8 for the triangle on the left, 7.6 for the triangle on the right) and the side lengths, but not the height. But since both are isosceles triangles, you can find the height using the pythagorean theorem.

5.

First divide the triangle vertically into two triangles (see attached picture). Now you have two right triangles, you can apply the pythagorean theorem on either one of them to find the height. The pythagorean theorem says that for a right triangle, [tex]a^2+b^2=c^2[/tex], where c is the hypotenuse and a and b are the sides of the triangle.

Substituting the given values and rounding to nearest tenth:

[tex]a^2+b^2=c^2\\4.4^2+h^2=10^2\\h=9.0[/tex]

Now that you have the height, you can find the area of the entire triangle.

A = (1/2)*base*height

A = (1/2)*8.8*9.0 = 39.6

6.

Same procedure.

[tex]a^2+b^2=c^2\\3.8^2+h^2=10^2\\h=9.2[/tex]

A = (1/2)*base*height

A = (1/2)*7.6*9.2 = 35.0