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3 years ago

12

You are building a toothpick fort for class. Each wall must be 1 1⁄3 feet long. Each toothpick is 2 inches long. How many toothp

icks will it take to make the base length of one wall?

1 answer:

Mariana [72]3 years ago

6 0

Answer: 68/67.8 toothpicks

Step-by-step explanation

first convert how many inches 11.3 feet is

11.3 = 135.6 inches

so after you get your number you get your calculator and divide it by how many inches the toothpicks are

135.6 ÷ 2= 67.8

then to get a solid answer you would round it to a whole number

67.8--> 68

so you ether say the rounded number or you cut .2 inches off the last toothpick

(also im not sure if its 11.3ft or 113ft so if so then take away the decimal and do the same math, you'll end up with 678 toothpicks)

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Solve the following pair of equations by elimination method: x+y=4, 2x+y=3

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Answer:

x = 1

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Step-by-step explanation:

x + y = 4 __ (1)

2x + y = 3 __ (2)

equation (1) x 2, (2) x 1

2x + 2y = 8

2x + y = 3

0 + y = 5

y= 5 (ANS)

x + y = 4

x + 5 = 4

x = 5 - 4

x = 1 (ANS)

I HOPE MY ANSWER IS CORRECT IF NOT I APOLOGIZE.

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Which expression has the same value of x³ ?

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Samples of emissions from three suppliers are classified for conformance to air-quality specifications. The results from 100 sam

Vlad [161]

Answer

$P(A) = 0.30$

$P(B) = 0.77$

$P(A\ n\ B) = 0.22$

$P(A\ u\ B) = 0.85$

Explanation:

Given

See attachment for proper data presentation

$n = 100$ --- Sample

A = Supplier 1

B = Conforms to specification

Solving (a): P(A)

Here, we only consider data in sample 1 row.

Here:

$Yes = 22$ and $No = 8$

$n(A) = Yes + No$

$n(A) = 22 + 8$

$n(A) = 30$

P(A) is then calculated as:

$P(A) = \frac{n(A)}{Sample}$

$P(A) = \frac{30}{100}$

$P(A) = 0.30$

Solving (b): P(B)

We only consider data in the Yes column.

Here:

$(1) = 22$ $(2) = 25$ and $(3) = 30$

$n(B) = (1) + (2) + (3)$

$n(B) = 22 + 25 + 30$

$n(B) = 77$

P(B) is then calculated as:

$P(B) = \frac{n(B)}{Sample}$

$P(B) = \frac{77}{100}$

$P(B) = 0.77$

Solving (c): P(A n B)

Here, we only consider the similar cell in the yes column and sample 1 row.

i.e. [Supplier 1][Yes]

This is represented as: n(A n B)

$n(A\ n\ B) = 22$

The probability is then calculated as:

$P(A\ n\ B) = \frac{n(A\ n\ B)}{Sample}$

$P(A\ n\ B) = \frac{22}{100}$

$P(A\ n\ B) = 0.22$

Solving (d): P(A u B)

This is calculated as:

$P(A\ u\ B) = P(A) + P(B) - P(A\ n\ B)$

This gives:

$P(A\ u\ B) = \frac{30}{100} + \frac{77}{100} - \frac{22}{100}$

Take LCM

$P(A\ u\ B) = \frac{30+77-22}{100}$

$P(A\ u\ B) = \frac{85}{100}$

$P(A\ u\ B) = 0.85$

7 0

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You want to save $10,000 to buy a new car You doposit 6500in an account earning 7.5% simple interest. After how long will you ha

Stells [14]

Answer:

After 7.5 years we will have enough money in the account to purchase the car.

Step-by-step explanation:

Amount needed to be saved = $10000

Principal = $6500

So, Simple Interest = $3500

Rate of Interest = 7.5%

= 0.075

Now, Simple Interest = Principal × Rate × Time

⇒ 3500 = 6500 × 0.075 × Time

⇒ 3500 = 487.5 × Time

⇒ Time = 7.18 years ≈ 7.5 years

Hence, after 7.5 years we will have enough money in the account to purchase the car.

Step-by-step explanation:

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3 years ago