All categories

1 year ago

Can someone solve this using order of operations and please explain very well i have a test on it

Mathematics

1 answer:

Dmitry [639]1 year ago

3 0

This seems long

But is actually pretty simple. Just need to make sure you do the brackets.

Lmk if there’s any further explaining you want.

You might be interested in

During a four-week period, you worked the following hours: Week 1- 363 /8 hr; Week 2- 411 /4 hr; Week 3- 401 /2 hr; Week 4- 383

Dafna11 [192]

The average number of hours can be calculated using the following rule:
average number of hours = total number of hours / total number of weeks

total number of hours = 36 3/8 + 41 1/4 + 40 1/2 + 38 3/8 = 313/2 hours
total number of weeks = 4 weeks

Average number of hours per week = (313/2) / (4) = 39 1/8 hour

Based on the above calculations, the correct answer is:
C. 39 1/8 hour

4 0

2 years ago

Square A is a scaled version of square B. The dimensions of square A are three times the dimensions of square B. The area of squ

denis23 [38]

Answer:

The side of square A is 30 cm.

Step-by-step explanation:

Given that,

The dimensions of square A are three times the dimensions of square B.

The area of square A is 900 sq cm.

Side of square A = 3( side of square B)

Let the side of square B is b. So,

Side of square A, a = 3b

We know that, the area of square is side². So,

$(3b)^2=900\\\\9b^2=900\\\\b^2=100\\\\b=10\ cm$

Side of square A, a = 3(10) = 30 cm

Hence, the side of square A is 30 cm.

8 0

3 years ago

The diagram represents a reduction of a triangle by using a scale factor of 0.8.

Alekssandra [29.7K]

Answer:

4.8 inches

Step-by-step explanation:

<em>See comment for complete question</em>

Represent the larger triangle with 1 and the smaller with 2.

So, we have:

$H_1 =6\ in$ -- height of 1

Required

Determine H2 --- Height of 2

To do this we apply dilation formula.

$Original * Scale\ Factor = New$

In this case:

$H_1 * Scale\ Factor = H_2$

Substitute 6 for H1 and 0.8 for Scale Factor

$6* 0.8 = H_2$

$4.8= H_2$

Hence, the height of the smaller triangle is 4.8 inches

3 0

2 years ago

The fourth term of an Arithmetic Sequence is equal to 3 times the first term, and the seventh term exceeds twice the third term

11Alexandr11 [23.1K]

Answer:

The first term is 3. The common difference is 2.

Step-by-step explanation:

The first term is x.

The common difference is d.

The second term is x + d.

3rd term: x + 2d

4th term: x + 3d

7th term: x + 6d

"The fourth term of an Arithmetic Sequence is equal to 3 times the first term"

x + 3d = 3 * x Eq. 1

"the seventh term exceeds twice the third term by 1"

x + 6d = 2(x + 2d) + 1 Eq. 2

Simplify Eq. 1:

2x = 3d

Simplify Eq. 2:

x + 6d = 2x + 4d + 1

x = 2d - 1

Multiply both sides of the last equation by 2.

2x = 4d - 2

2x = 3d (simplified Eq. 1)

Since 2x = 2x, then the right sides are equal.

3d = 4d - 2

d = 2

2x = 3d

2x = 3(2)

2x = 6

x = 3

Answer: The first term is 3. The common difference is 2.

8 0

2 years ago

1. A third-grade class needs five leaves each day to feed its two caterpillars. How many leaves would they need each day to feed

Kay [80]

Answer:

17 leaves

Step-by-step explanation:

5 0

2 years ago