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PilotLPTM [1.2K]

3 years ago

9

A musician spends 90 minutes practicing piano and guitar the time spent is 30 minute less than twice the same time spent on guit

ar which could be a way to find t the time in minutes spent practicing guitar

1 answer:

11111nata11111 [884]3 years ago

8 0

Answer:

The which spends on the piano is( 50 minutes )

The which spends on the guitar is( 40 minutes )

Step-by-step explanation:

The steps of the solution in the above photo

I hope that is useful for you :)

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Herman and Jackie are saving money to pay for college. Herman currently has $15,000 and is working hard to save $1000 per month.

Mashutka [201]

Answer:

Part 1) $10\ months$

Part 2) $\$25,000$

Step-by-step explanation:

Let

y ----> the total amount of savings

x ----> the number of months

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope or unit rate

b is the y-intercept or initial value

In this problem we have

<em>Herman</em>

The slope is equal to $m=\$1,000\ per\ month$

The y-intercept is $b=\$15,000$

substitute

$y=1,000x+15,000$ ----> equation A

<em>Jackie</em>

The slope is equal to $m=\$1,300\ per\ month$

The y-intercept is $b=\$12,000$

substitute

$y=1,300x+12,000$ ----> equation B

Part 1) In how many months will they have the same amount of savings?

equate equation A and equation B

$1,300x+12,000=1,000x+15,000$

solve for x

$1,300x-1,000x=15,000-12,000$

$300x=3,000$

$x=10\ months$

Part 2) How much will each of them have saved?

substitute the value of x=10 months in any of the equations

equation A

$y=1,000(10)+15,000=\$25,000$

equation B

$y=1,300(10)+12,000=\$25,000$

7 0

3 years ago

If the perimeter of a square is 18.48 cm, how long is one side of the square?

Andrew [12]

One side is 4.62 cm long

6 0

3 years ago

In surveying families with pets, 5 out of 7 families owned a dog. If 35 families had dogs, how many families were surveyed?

Sliva [168]

Hello There!

Follow these steps:
35/5 = 7
7 x 7 = 49
35 out of 49 families owned a dog.
49 families were surveyed.

Hope This Helps You!
Good Luck :)

- Hannah ❤

5 0

3 years ago

PLEASE HELP ASAP 25 POINTS

Elena L [17]

Answer: B

<u>Step-by-step explanation:</u>

2x - 3y = -7 → 2(2x - 3y = -7) → 4x - 6y = -14

-4x + 6y = -10 → 1(-4x + 6y = -10) → <u>-4x + 6y</u> = <u>-10 </u>

0 = -24

FALSE

Since this makes a false statement, there are no solutions

6 0

3 years ago

A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 436.0 gram setting. It

Vilka [71]

Answer:

We conclude that the machine is under filling the bags.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 436.0 gram

Sample mean, $\bar{x}$ = 429.0 grams

Sample size, n = 40

Alpha, α = 0.05

Population standard deviation, σ = 23.0 grams

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 436.0\text{ grams}\\H_A: \mu < 436.0\text{ grams}$

We use one-tailed(left) z test to perform this hypothesis.

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{429 - 436}{\frac{23}{\sqrt{40}} } = -1.92$

Now, $z_{critical} \text{ at 0.05 level of significance } = -1.64$

Since,

$z_{stat} < z_{critical}$

We reject the null hypothesis and accept the alternate hypothesis. Thus, we conclude that the machine is under filling the bags.

8 0

3 years ago