What is the common denominator for 32 and 3

1/2 of the people who live in the neighborhood vollunteer at the comunity garden. 1/4 of the vollunteers are teenagers. What fra

ki77a [65]

Answer:

3/4

Step-by-step explanation:

With regards to the above, since 1/4 of the volunteers are teenagers, the fraction of the volunteers would be

= 1 - 1/4

= 3/4

It therefore means that 3/4 of the volunteers are teenagers.

3 0

2 years ago

Amber borrows $1,450 from the bank. If she repays the loan in 3 years, the annual interest rate is 5%, compounded annually. Howe

Step2247 [10]

The answer is $126 the asked for 20 charaters so

3 0

2 years ago

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A triangle has a base of 3⅖ inches and an area of 5⅒ square inches. Find the height of the triangle. Show your reasoning

N76 [4]

Answer: 3 in.

Step-by-step explanation:

Given

The base of the triangle is $3\frac{2}{5}\ inches$

The area of the triangle is $5\frac{1}{10}\ inches^2$

Solve mixed fraction

Base is

$=3\dfrac{2}{5}\\\\=\dfrac{17}{5}\ in.$

Area is

$=5\dfrac{1}{10}\\\\=\dfrac{51}{10}\ in.^2$

The area of the triangle is given by

$\Rightarrow \text{Area A=}\dfrac{1}{2}\times \text{base}\times \text{height}$

Insert the values to get the height

$\Rightarrow \dfrac{51}{10}=\dfrac{1}{2}\times \dfrac{17}{5}\times \text{height}\\\\\Rightarrow \text{height}=3\ in.$

8 0

2 years ago

What are the values of the coefficients and constant term of 0 = 4 – 7x2 + x in standard form?

katen-ka-za [31]

ANSWER

$a = - 7$

$b = 1$

$c = 4$

EXPLANATION

The given quadratic equation is:

$0 = 4 - 7 {x}^{2} + x$

We rewrite in the standard quadratic equation form to obtain,

$- 7 {x}^{2} + x + 4 = 0$

Comparing this to the general standard quadratic equation.

$a {x}^{2} + bx + c = 0$

We have my

$a = - 7$

$b = 1$

$c = 4$

8 0

2 years ago

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Can anyone help me understand this

bagirrra123 [75]

Answer:

(x, y) = (2, 9)

Step-by-step explanation:

For the triangles to be congruent, the hypotenuses must be the same length:

y = x + 7

and the marked leg must be the same length in each triangle:

y -3 = 4x -2

These are two equations in two unknowns (a "system" of equations) that can be solved in any of the usual ways. Since the first equation gives an expression for y, it is convenient to substitute that into the second equation:

(x +7) -3 = 4x -2

x +4 = 4x -2 . . . . . . collect terms

x +6 = 4x . . . . . . . . .add 2

6 = 3x . . . . . . . . . . . subtract x

2 = x . . . . . . . . . . . . divide by 3

y = 2 + 7 = 9 . . . . . .substitute for x in the first equation

The values you're looking for are x = 2, y = 9.

5 0

2 years ago