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3 years ago

which expression forms an equation with the given expression 18-4×3= a.14-11×2 B.3(12-9) C. 8×3÷4 D. 12÷3+3

Mathematics

2 answers:

KatRina [158]3 years ago

8 0

Answer:

option C

Step-by-step explanation:

Use PEMDAS to simplify each expression

$18-4 \cdot 4$

First multiply and then subtract

$18-12=6$

A. $14-11 \cdot 2= 14-22=-8$

B. $3(12-9)=3(3)=9$

C. 8×3÷4 =24÷4=6

option C gives us same answer 6. option C is the equivalent expression for the given expression.

D. 12÷3+3=4+3=7

kipiarov [429]3 years ago

4 0

Use BEDMAS
18-4x3
18-(4*3)
18-(12)
6
A = -8
B = 9
C = 6
D = 7
Therefore the answer is C

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The height of one solid limestone square pyramid is 21 m. A similar solid limestone square pyramid has a height of 30 m. The vol

Elina [12.6K]

Answer:

Part a) The scale factor of the smaller pyramid to the larger pyramid in simplest form is $\frac{7}{10}$

Part b) The ratio of the volume of the smaller pyramid to the larger pyramid is $\frac{343}{1,000}$

Part c) The volume of the smaller pyramid is $4,116\ m^{3}$

Step-by-step explanation:

Part a) The scale factor of the smaller pyramid to the larger pyramid in simplest form

we know that

If two figures are similar, then the ratio of its corresponding sides is equal and this ratio is called the scale factor

Let

z----> the scale factor

x----> the height of the smaller pyramid

y----> the height of the larger pyramid

$z=\frac{x}{y}$

substitute the values

$z=\frac{21}{30}$

Simplify

$z=\frac{7}{10}$ -----> scale factor in simplest form

Part b) Ratio of the volume of the smaller pyramid to the larger pyramid

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z----> the scale factor

x----> the volume of the smaller pyramid

y----> the volume of the larger pyramid

$z^{3}=\frac{x}{y}$

we have

$z=\frac{7}{10}$

substitute

$\frac{7}{10}^{3}=\frac{x}{y}$

Rewrite

$\frac{x}{y}=\frac{343}{1,000}$ -----> ratio of the volume of the smaller pyramid to the larger pyramid

Part c) The volume of the smaller pyramid

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z----> the scale factor

x----> the volume of the smaller pyramid

y----> the volume of the larger pyramid

$z^{3}=\frac{x}{y}$

we have

$z=\frac{7}{10}$

$y=12,000\ m^{3}$

substitute the values and solve for x

$(\frac{7}{10})^{3}=\frac{x}{12,000}$

$x=\frac{343}{1,000}(12,000)=4,116\ m^{3}$

8 0

3 years ago

Please solve fast. I will give Brainleist or whatever it’s called

alina1380 [7]

Answer:

84in

Step-by-step explanation:

84in

4 0

3 years ago

If an regular interior angle of a regular polygon is 140 degrees, how many sides does the polygon have and I need the work

torisob [31]

Answer:

9 sides

Step-by-step explanation:

exterior angle + interior angle = 180° , so

exterior angle + 140° = 180° ( subtract 140° from both sides )

exterior angle = 40°

The sum of the exterior angles of a polygon = 360°

Dividing sum by the measure of 1 exterior angles gives number of sides

number of sides = $\frac{360}{40}$ = 9

8 0

3 years ago

Find f(t – 3) for f(x) = 4x2 – 8x + 4.

GarryVolchara [31]

Answer:

4t^2 - 32t + 64.

Step-by-step explanation:

f(x) = 4x2 – 8x + 4

f(t - 3) = 4(t - 3)^2 - 8(t - 3) + 4

= 4(t^2 - 6t + 9) - 8t + 24 + 4

= 4t^2 - 24t + 36 - 8t + 28

= 4t^2 - 32t + 64.

5 0

3 years ago

Factor 403 – 102O 2x (2x - 5)O 2. (x - 5)O 23 (223 – 10)O x (x2 – 10x)

suter [353]

We are asked to factor out the expression:

4 x^3 - 10 x

So we extract a factor of "2" from the numerical factors "4" and "10", and also a factor of "x" from each term,leading to:

2 x ( 2 x^2 - 5)

Therefore, please select the first answer option they give you in the list.

3 0

2 years ago