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Varvara68 [4.7K]
3 years ago
10

Instead of dividing 400 by 16, Chip thought of an equivalent division problem that was easier for him to divide. Write an equiva

lent division problem that has a one-digit divisor and find the quotient. PLEASEEE HELP THANK YOU!
Mathematics
1 answer:
galben [10]3 years ago
5 0
You can divided each by 4 and get this easy answer..

100 divided by 4= 25. Hope it helps!
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How many different triangles can you make if you are given these two lengths for sides?
kykrilka [37]

Answer:

Infinitely many triangles.

Step-by-step explanation:

Given the lengths of two sides are 8 inches and 10 inches.

Let's assume third side = x inches.

Using the Triangle Inequalities given as follows:-

1. a+b > c,

2. b+c > a,

3. c+a > b.

Using the lengths given in the problem, we can write:-

1. x+8 > 10 ⇔ x > 10-8 ⇔ x > 2.

2. x+10 > 8 ⇔ x > 8-10 ⇔ x > -2.

3. 8+10 > x ⇔ x < 18.

So, the solution set is 2 < x < 18. It means third side can take any value in interval (2, 18).

Hence, there are infinitely many triangles.

3 0
3 years ago
Read 2 more answers
In a group of EXPLORE students, 38 enjoy video games, 12 enjoy going to the movies and 24 enjoy solving mathematical problems. O
Pavel [41]
Only 11 of the students liked 2 subjects
5 0
2 years ago
A marina is in the shape of a coordinate grid. Boat A is docked at (3.1, −1) and Boat B is docked at (−4.1, −1). The boats are _
kirill115 [55]

Answer:

d = 7.2

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra II</u>

  • Distance Formula: d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Step-by-step explanation:

<u>Step 1: Define</u>

Boat A(3.1, -1)

Boat B(-4.1, -1)

<u>Step 2: Find distance </u><em><u>d</u></em>

Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>.

  1. Substitute [DF]:                    d = \sqrt{(-4.1-3.1)^2+(-1+1)^2}
  2. Subtract/Add:                       d = \sqrt{(-7.2)^2+(0)^2}
  3. Exponents:                           d = \sqrt{51.84}
  4. Evaluate:                              d = 7.2
8 0
2 years ago
Read 2 more answers
Find the equation of a circle with a center at (–7, –1) where a point on the circle is (–4, 3).
gogolik [260]

Answer:

(x + 7)^2 + (y + 1)^2 = 25.

Step-by-step explanation:

The center of a circle is easy to set up. According to the formula below, the formula for the circle will be (x - a)^2 + (y - b)^2 = r^2.

In this case, a = -7 and b = -1, so we have...

(x - (-7))^2 + (y - (-1))^2 = r^2

(x + 7)^2 + (y + 1)^2 = r^2

To get the radius, we need to find the distance between the center and the point on the circle. The distance formula is d = sqrt((x2 - x1)^2 + (y2 - y1)^2).

In this case, x2 = -4, x1 = -7, y2 = 3, and y1 = -1.

sqrt((-4 - -7)^2 + (3 - -1)^2) = sqrt((-4 + 7)^2 + (3 + 1)^2) = sqrt((3)^2 + (4)^2) = sqrt(9 + 16) = sqrt(25) = plus or minus 5.

Since distance can only be positive, the distance is 5 units, meaning that the radius is 5 units.

5^2 = 25

So, your equation should be (x + 7)^2 + (y + 1)^2 = 25.

Hope this helps!

8 0
3 years ago
Arvin has $10000 to invest. He invests part in a term deposit paying 5%/year, and the remainder in Canada savings bonds paying 3
Delicious77 [7]

Answer:

$4,562.5

Step-by-step explanation:

The amount Arvin has to invest, P = $10,000

The interest paid on the investment in the term deposit = 5%/year

The interest paid om the investment in Canada savings bonds = 3.4%/year

The amount Arvin earned at the of the year as simple interest, A = $413

Let, <em>x</em>, represent the amount Arvin invested in the term deposit and let, <em>y</em>,<em> </em>represent the amount he invested in Canada savings bonds, we can get the following system of equations

x + y = 10,000...(1)

0.05·x + 0.034·y = 413...(2)

Making <em>y</em> the subject of equation (1) and substituting the value in equation (2), we get;

From equation (1), we get, y = 10,000 - x

Plugging the above value of <em>y</em> in equation (2) gives;

0.05·x + 0.034 × (10,000 - x) = 413

∴ 0.05·x - 0.034·x + 340 = 413

x = (413 - 340)/(0.05 - 0.034) = 4,562.5

Therefore, the amount Arvin invested in the term deposit at 5%, x = $4,562.5

<em>(y = 10,000 - x</em>

<em>∴ y = 10,000 - 4,562.5 = 5,437.5</em>

<em>The amount Arvin invested in Canada savings bonds, y = $5,437.5.)</em>

8 0
2 years ago
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