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2 years ago

Use PEMDAS to evaluate the expression 8 x 4 − 21 ÷ 3 + 5. 30 32 34 36

Mathematics

2 answers:

Dennis_Churaev [7]2 years ago

8 0

Answer:

its 30 i took the test

Step-by-step explanation:

VikaD [51]2 years ago

4 0

the answer should be 30

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Find the sum of each set of numbers, as well as the size n of each set of numbers (n = number of numbers in the set). Use these

guapka [62]

We have to add numbers without a calculator.

1) 25, 35, 19, 31

We can group them by the last digit, so they are easy to add:

25 + 35 = 20 + 30 + 5 +5 = 50 + 10 = 60

19 + 31 = 10 + 30 + 9 +1 = 40 + 10 = 50

Then, 60 + 50 = 110

numbers in the set n = 4

Sum = 110

2) 101, 73, 49, 27, 24, 36

We can group them again by the last digit (adding 10, like the previous example).

We can substract the last digit from one number and add it to the other one. The result will be the same, but they will become easier to add.

101 + 49 = 100+50 = 150

73 + 27 = 70 + 30 = 100

24 + 36 = 20 + 40 = 60

150 + 100 + 60 = 250 + 60 = 310

numbers in the set n = 6

Sum = 310

3) 25, 25, 25, 30, 30, 30, 32, 32, 32

In this case we have 3 times the same numbers, so we can add the three different numbers and then multiply the total by 3.

We can use the properties of the multiplication to simplify the product (we will use the distributive property)

25 + 30 + 32 = 27 + 30 + 30 = 87

87 * 3 = 80*3 + 7*3 = 240 + 21 = 261

numbers in the set n = 9

Sum = 261

8 0

1 year ago

What is the length of the shadow cast by a 12-foot lamp post when the angle of elevation of the sun is 60º? (to the nearest tent

elena-s [515]

Answer:

6.9 foot.

Step-by-step explanation:

Given: Length of lamp post= 12-foot.

The angle of elevation of the sun is 60°.

∴ The length of Lamp post, which is opposite is 12-foot.

Now, finding the length of shadow cast by foot lamp.

Length of shadow is adjacent.

∴ We know the formula for $Tan\theta$ = $\frac{Opposite}{adjacent}$

Next, putting the value in the formula.

⇒ $Tan 60° = \frac{12}{adjacent}$

Cross multiplying both side and using the value of Tan 60°

∴ Adjacent= $\frac{12}{\sqrt{3} } = 6.92$ ≅ 6.9 (nearest tenth value)

6.9 is the length of shadow cast by a 12-foot lamp post.

3 0

2 years ago

The diameter of a sphere is 4 centimeters. Which represents the volume of the sphere?

frosja888 [35]

Answer:

256π/3 cm³

Step-by-step explanation:

d = 2r => r = d/2 = 4cm/2 = 2 cm

V(sphere) = 4π·r³/3

= 4π·64/3 cm³

= 256π/3 cm³

7 0

3 years ago

Use the formula C= dxd

zysi [14]

Answer:

69.08m

Step-by-step explanation:

Circumference of a circle = πd where

d is the diameter of the circle

Given

diameter = 22metres

circumference of the circle = 3.14(22)

circumference of the circle = 69.08m

Hence the circumference of the circle is 69.08m

5 0

2 years ago

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a skateboard company is putting together boards and wheels to make skateboards. the company has a box of 36 boards. they need 4

vodka [1.7K]

If you multiply 36 by four since there are 4 wheels for skateboard
you will get 144. That number is the total number of wheels you need to order and since they come in packs of 20 what you need to do is divide 144 by 20 and you will get 7.2. So obviously you can't order 7.20 packs of wheels so this means that 8 packs of wheels must be bought in order to ensure that all of the skateboards get wheels on them.
The answer is 8.

4 0

2 years ago

Read 2 more answers