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Sidana [21]
3 years ago
6

Warren is tiling his bathroom. He wants to cut three different sizes of square tiles. Tile A must be 5 square inches, tile B mus

t be 10 square inches, and tile C must be 15 square inches. He needs to know the side length of each tile. Part A In the table, note your guesses and checks to find the length of tile A, which has an area of 5 square inches. Estimate the value to five decimal places.
Mathematics
2 answers:
Lelechka [254]3 years ago
7 0

Answer:

Guess Check

2.2 2.22 = 4.84 (low)

2.23 2.232 = 4.9729 (low)

2.236 2.2362 = 4.999696 (slightly low)

2.23606 2.236062 = 4.9999643236 (slightly low)

2.23607 2.236072 = 5.0000090449 (closest)

Step-by-step explanation:

TEA [102]3 years ago
5 0

Answer:

2.36068 inches

Step-by-step explanation:

Let us recall that the area of a square is given by;

A = l^2

This is because, all the sides of a square are equal hence l=b

When A = 5 square inches

5 = l^2

l = √5

l = 2.36068 inches

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Scott buys candy that costs $7 per kilogram. He will spend at least $35 on candy. What are the possible numbers of kilograms he
slega [8]

Answer:

<em>p ≥ 5</em>

<em>Scott will buy at least 5 kilograms of candy.</em>

Step-by-step explanation:

<u>Inequalities</u>

The candy Scott buys cost $7 per kilogram.

Let's set p=number of kilograms of candy Scott will buy.

The money spent to buy p kilograms of candy is 7p dollars.

The condition states he will spend at least $35 on candies, thus the following inequality is formed:

7p ≥ 35

Dividing by 7:

p ≥ 35/7

Operating:

p ≥ 5

Scott will buy at least 5 kilograms of candy.

3 0
3 years ago
Ms. Hernandez gave her students a math test
emmainna [20.7K]

Answer:

85-86%

Step-by-step explanation:

Make it an equation

You want to find the percent out of a hundred, so 42 is 100 since it is all of the questions and 36 is the unknown percent X

36/42 = X/100

36             X

42             100

Cross multiply

Do math and solve for X

36 x 100 = 42 x X

3600=42X

X=85.71

7 0
2 years ago
Find the value of x so that the function has the given value. <br> q(x)=12x−3; q(x)=−4
Anna [14]

Answer:

-  \frac{1}{ 12}

Step-by-step explanation:

since q(x)=-4

substitute

hence

-4=12x-3

take -3 to the other side where it becomes positive

therefore

-1=12x

divide by 12

you will get the above answer

5 0
3 years ago
What is the probability that a junior non-Nutrition major and then a sophomore Nutrition major are chosen at random? Express you
aleksandr82 [10.1K]

Answer:

0.0032

The complete question as seen in other website:

There are 111 students in a nutrition class. The instructor must choose two students at random Students in a Nutrition Class Nutrition majors Academic Year Freshmen non-Nutrition majors 17 18 Sophomores Juniors 13 Seniors 18 Copy Data. What is the probability that a senior Nutrition major and then a junior Nutrition major are chosen at random? Express your answer as a fraction or a decimal number rounded to four decimal places.

Step-by-step explanation:

Total number of in a nutrition class = 111 students

To determine the probability that the two students chosen at random is a junior non-Nutrition major and then a sophomore Nutrition major, we would find the probability of each of them.

Let the probability of choosing a junior non-Nutrition major = Pr (j non-N)

Pr (j non-N) = (number of junior non-Nutrition major)/(total number students in nutrition class)

There are 13 number of junior non-Nutrition major

Pr (j non-N) = 13/111

Let the probability of choosing a sophomore Nutrition major = Pr (S N-major)

Pr (S N-major)= (number of sophomore Nutrition major)/(total number students in nutrition class)

There are 3 number of sophomore Nutrition major

Pr (S N-major) = 3/111

The probability that the two students chosen at random is a junior non-Nutrition major and then a sophomore Nutrition major = 13/111 × 3/111

= 39/12321

= 0.0032

7 0
3 years ago
Simplify: 8i^7+6i^5-5i^3-3i^2-7i-9
Dmitry_Shevchenko [17]
<span>Consider the remainder of the division of the power exponent of i by 4.
For a remainder r equal to 0, 1, 2 or 3, we have a power equal to 1, i, -1 or -i respectively, therefore:

</span>8i^7+6i^5-5i^3-3i^2-7i-9 =
8*(-i) + 6*i - 5*(-i) - 3*(-1) - 7i - 9 =
- 8i + 6i + 5i + 3 - 7i - 9 =
3 - 9 - 8i + 6i + 5i- 7i =
=\boxed{- 6 - 4i}

Answer:
\boxed{- 6 - 4i}

<span>

</span>
5 0
3 years ago
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