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harkovskaia [24]

3 years ago

10

On friday 1/6 of band pracitce was spent trying on uniforms. the band spent 1/6 of practice on marching, the remaining practice

time was spent playing music. what fraction of practice time was spent playing music?

1 answer:

Stella [2.4K]3 years ago

4 0

4/6 of the time was spent to play music because 1/6 + 1/6 = 2/6
6/6 - 2/6 = 4/6

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Jonah is going to the store to buy candles. Small candles cost $2.50 and large candles cost $7.00. He needs to buy at least 20 c

artcher [175]

<em><u>The system of linear inequalities are:</u></em>

$a + b \geq 20\\\\2.50a + 7b\leq 80$

<em><u>Solution:</u></em>

Let "a" be the number of small candles bought

Let "b" be the number of large candles bought

<em><u>He needs to buy at least 20 candles</u></em>

Therefore, number of small candles and number of large candles bought must be at least 20

Thus, we frame a inequality as:

$a + b \geq 20$

"at least" means greater than or equal to

Here, we used "greater or equal to" symbol because, he can buy 20 candles or more than 20 candles also

From given,

Cost of 1 small candle = $ 2.50

Cost of 1 large candle = $ 7

<em><u>He can spend no more than 80 dollars</u></em>

Which means, he spend maximum 80 dollars or less than 80 dollars also

So we have to use "less than or equal to" symbol

<em><u>Thus, we frame a inequality as:</u></em>

Number of small candles bought x Cost of 1 small candle + number of large candles bought x Cost of 1 large candle $\leq$ 80

$a \times 2.50 + b \times 7 \leq 80\\\\2.50a + 7b\leq 80$

<em><u>Thus the system of linear inequalities are:</u></em>

$a + b \geq 20\\\\2.50a + 7b\leq 80$

3 0

2 years ago

(Geometry) PART A Find the value of X.

guapka [62]

Answer:

Part A: The answer is B.

As vertically opposite angles are equal

x+10=4x-35

10=3x-35

45=3x

x=15

Part B: The answer is D.

We'll substitute in the value of X in one equation.

x+10

=15+10

=25

As the two angles are equal bot must be 25 degrees.

5 0

2 years ago

Find two positive numbers whose product is 25 and whose sum is a minimum. (if both values are the same number, enter it into bot

pshichka [43]

Let xy = 25, x and y > 0.

$y = \frac{25}{x}$
$\text{Denote S as: } x + y$
$S(x) = x + \frac{25}{x}$

$\text{Minimum: }S'(x) = 0, S''(x) > 0$
$S'(x) = 1 - \frac{25}{x^{2}}$
$1 - \frac{25}{x^{2}} = 0$
$x^{2} = 25$
$x = 5 (x > 0)$

$S''(x) = \frac{50}{x^{3}} > 0, (x > 0)$

Thus, at x = 5, there lies a minimum summation, and this forms a square with side length of 5.

4 0

3 years ago

Seis manzanas y 8 peras cuestan $26. ¿Cuanto cuesta cada pera y cada manzana sabiendo que cada manzana cuesta el triple de lo qu

Rom4ik [11]

Usando un sistema de ecuaciones, se encuentra que

Cada manzana cuesta $3.
Cada pera cuesta $1.

-----------------------

Un sistema de ecuaciones soluciona esta pergunta.
El custo de una manzana es x.
El custo de una pera es y.

-----------------------

<u>Seis manzanas y 8 peras cuestan $26</u>, o sea, $6x + 8y = 26$
<u>Cada manzana cuesta el triple de cada pera</u>, o sea, $x = 3y$

-----------------------

Primero, encontramos el cuesto de una pera, substituyendo la segunda en la primera ecuación.

$6x + 8y = 26$

$6(3y) + 8y = 26$

$18y + 8y = 26$

$26y = 26$

$y = \frac{26}{26}$

$y = 1$

Cada pera cuesta $1.

-----------------------

<u>Cada manzana cuesta el triple de cada pera</u>, o sea, $x = 3y = 3(1) = 3$ .

Cada manzana cuesta $3.

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2 years ago

The quadratic formula of 3x^2+4x+5=0

-Dominant- [34]

Yea yeaaaaaaaaaaaaaaaaaa

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2 years ago

Read 2 more answers