The missing angle would be?

The science club raised money to clean the beach the spent $29 on trashbags and $74 on waterproof boots I still have $47 left ho

lara [203]

They raised 150 dollars.

5 0

3 years ago

Find two positive consecutive odd integers such that the square of the large integer is one less than twice the square of the sm

andre [41]

Step-by-step explanation:

x, x+2 are the two positive consecutive of integers (x + 2, because the minimum distance between 2 odd numbers is always 2, as there can never be 2 odd numbers directly following each other; and neither can even numbers, by the way).

(x+2)² = 2×x² - 1

x² + 4x + 4 = 2x² - 1

0 = x² - 4x - 5

we can solve this by factoring.

that means we need to find a and b so that

(x - a)(x - b) = x² - 4x - 5 = 0

and x = a and x = b are the 2 solutions of the quadratic equation.

x² - ax - bx + ab = x² - 4x - 5 = 0

x² - (a+b)x + ab = x² - 4x - 5 = 0

a+b = 4

ab = -5

that means that either a or b has to be 5 and the other -1.

so, the result is

(x - 5)(x + 1) = 0

x = 5

or

x = -1

are the possible solutions.

since we are only looking for positive integers, x = -1 is not a valid solution.

and only x = 5 remains as valid solution.

therefore, the 2 positive consecutive odd integers are

5, 7

4 0

3 years ago

the temperature in Moscow was 2 degrees Celsius then it dropped to 8 degrees Celsius below zero by how many degrees did the temp

levacccp [35]

Answer:

11

Step-by-step explanation:

2-8 you need to minus the first number

3 0

3 years ago

Beau's recipe fro granola bars calls for 3 1/2 cups of oatmeal. He only has 1/6 scoop. How many scoops of oatmeal will he need t

natulia [17]

$\boxed{21}$ scoops of oatmeal will he need to complete the recipe.

Further explanation:

Given:

Beau's recipe from granola bars calls for $3\dfrac{1}{2}$ cups of oatmeal.

He only is $\dfrac{1}{6}$ scoop.

Explanation:

The cups of oatmeal called for the recipe is $3\dfrac{1}{2}.$

Solve the improper fraction $3\dfrac{1}{2}.$

$\begin{aligned}{\text{Fraction}}&=\frac{{2 \times 3 + 1}}{2}\\&=\frac{{6 + 1}}{2}\\&=\frac{7}{2}\\\end{aligned}$

The Beau has $\dfrac{1}{6}{\text{ scoop}}.$

The number of scoops required to complete the recipe can be obtained as follows,

$\begin{aligned}N&=\frac{{{\text{total cups of oatmeal}}}}{{{\text{the fraction of scoop Beau has}}}}\\&=\frac{{\frac{7}{2}}}{{\frac{1}{6}}}\\&= \frac{7}{2} \times6\\&=\frac{{42}}{2}\\&= 21\\\end{aligned}$

Number of scoops required to complete the oatmeal is $21{\text{ scoops}}.$

Therefore, $\boxed{21}$ scoops of oatmeal will he need to complete the recipe.

Learn more:

1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.

2. Learn more about equation of circle brainly.com/question/1506955.

3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Fractions

Keywords: fraction, Beau’s recipe, granola bars, calls, 3 1/2 cups of oatmeal, scoops, recipe, ratio, 1/6 scoop, complete the recipe.

5 0

3 years ago

Is 20% greater than 0.02

Ket [755]

Yep it is greater. Hope this helps

6 0

4 years ago