MATHEMATICS HIGH SCHOOL

Which of the following is the greatest common factor of the terms 48s5t3u2 and 40s3tu4?a. 6s2t2u
b. 6s3tu
c. 8s2t2u
d. 8s3tu2

Answers

Answer 1

Answer:

Answer: Option 'd' is correct.

Step-by-step explanation:

Since we have given that

$48s^5t^3u^2\ and\ 40s^3tu^4$

We need to find the greatest common factor of the above terms:

$48s^5t^3u^2=2* 2* 2* 2* 3* s^5* t^3* u^2\n\nAnd,\n\n40s^3tu^4=2* 2* 2* s^5* t* u^4\n\nGreatest\ common\ factor=2^3* s^3* t* u^2=8s^3tu^2$

Hence, Option 'd' is correct.

Answer 2

Answer: 48s^5t^3u^2 = 8s^3tu^2 * 6s^2t^2

40s^3tu^4 = 8s^3tu^2 * 5u^2

Answer: D: 8 s^3 t u^2

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The plaid flannel shirt that you have
wanted for months is now on sale at the mall for $35. Sales tax at the
mall is 7%. Before you leave to buy the shirt, you see an ad for the
same shirt for $30 with a sales tax of 9.5% at a shop 20 miles away.
Decide which shirt is the better buy and tell why. Can you think of one
reason that would make the more expensive shirt a better buy?

Answers

The shirt that costs 35.00 is the better buy because even though the shirt is more expensive than the other, it also has less tax. Also the shirt is local which saves you money on gas and wear and tear on your vehicle. In the end the 35.00 shirt is your smartest bet!

Reduce 15 1/4 +1 1/2 +3/20 to lowest term.

Answers

$15 (1)/(4) +1 (1)/(2) + (3)/(20) =15 (5)/(20) +1 (10)/(20) + (3)/(20)=16 (18)/(20) =16 (9)/(10) =16.9$

15 1/4 + 1 1/2 + 3/20

= 61/4 + 1.5 + 0.15

= 15.25 + 1.65

= 16.90
Thus, the answer is 16.90

How do I evaluate x+y=10

Answers

Hi there! Evaluate means to solve so we are going to solve x+y=10. Add both sides to -y, x+y+-y=10+-y=X=-y+10. Therefore, the answer is x=-y+10

Help help help help math

Answers

Radius is half the diameter.

The diameter is shown as 16, so the radius would be 16/2 = 8 in.

Area = 3 x 8^2

Area = 3 x 64

Area = 192 square inches

Answer:

A = 192

Step-by-step explanation:

r = 16/2 = 8

A = 3x(8)^2

8^2 = 64

A = 3 x 64 = 192

Can you please help me with this question?

Answers

9514 1404 393

Answer:

240°

Step-by-step explanation:

The sum of angles in a quadrilateral is 360°, so you have ...

a° +b° +60° +60° = 360°

a° +b° = 240° . . . . . . subtract 120° from both sides

Choose the abbreviation of the postulate or theorem that supports the conclusion that the triangles are congruent.Given:
∠C, ∠F are rt. ∠'s; AC = DF; ∠B = ∠E

HL
LL
HA
LA

Answers

∠C and ∠F are right angles. So, the triangles are right triangles.

AC = DF are the short legs of both triangles.

∠B = ∠E.

In this scenario, the postulate is ASA (Angle-Side-Angle)

The remaining sides that must be noted to prove that the triangles are congruent are the long legs and hypotenuse.

CB = FE can be LL for congruence where tt states that if the legs of one right triangle are congruent to the legs of another right triangle, then the triangles are congruent.

Nameof postulate or theorem that supports the conclusion that the triangles are congruent is Angle-side-Angle (ASA).

Given information:

$\angle C,\; \angle F$ are right triangle, $AC=DF;\angle B=\angle E$