MATHEMATICS HIGH SCHOOL

Which pair of measurements is not equivalent?24 feet, 8 yards
24 inches, 2 feet
10 feet, 120 inches
3 miles, 15,480 feet

Answers

Answer 1
Answer: If you would like to know which pair of measurements is not equivalent, you can calculate this using the following steps:

1 yard = 3 feet
1 foot = 12 inches
1 mile = 5280 feet

8 yards = 8 * 3 feet = 24 feet
2 feet = 2 * 12 inches = 24 inches
10 feet = 10 * 12 inches = 120 inches
3 miles = 3 * 5280 feet = 15,840 feet

Not equivalent: 3 miles, 15,480 feet.
Answer 2
Answer:

Final answer:

The pair of measurements that is not equivalent is 3 miles and 15,480 feet. The equivalence of measurements relies on the correct conversion factors. The correct conversion of 3 miles is 15,840 feet, not 15,480 feet.

Explanation:

The pair of measurements that is not equivalent is 3 miles and 15,480 feet. The equivalence of measurements depends on the correct conversion factors.

It's proven as follows: one foot equals 12 inches, so 24 inches is equal to 2 feet; one yard equals 3 feet, so 8 yards is equal to 24 feet; one foot equals 12 inches, so 120 inches is equal to 10 feet. However, one mile equals 5,280 feet, so 3 miles equals 15,840 feet, not 15,480 feet.

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Ray Cupple bought a basic car costing $26,500.00, with options costing $725.00. There is a 6% sales tax in his state and a combined $50.00 license and registration fee. What was Ray's total cost?A. $28,865.00
B. $28,911.50
C. $27,275.00
D. $28,908.50

Answers

Answer: D. $28,908.50


Step-by-step explanation:

Given: Cost price of car= $26,500

Cost of options= $725

Therefore, the total cost=$26,500+ $725=$27225

As there is a 6% sales tax in his state .

⇒ Tax amount = 6% of Total cost

=0.06*\$27225=\$1,633.5

⇒Tax amount=$1,633.5

Combine $50 licence, registration fee and tax amount to the total cost , we get

Total cost=$27225+$1,633.5+$50

∴Total cost=$28,908.5
Adding the basic car costing and the additional options costing, we have (26500 + 725) = $ 27 225. Since sales tax is to be included for the payment, Ray must pay for 1.06 of the basic cost. Which is equal to 1.06(27 225) = $ 28 858.50 Adding the license and registration fee into the price, we have $28 908.50. Hence, the total cost is D: $28, 908.50.

You have a bag with 30 fireballs and another bag with 42 jolly ranchers. For a party, you want to repackage the candy into smaller bags, and you want each bag to have the same number of fireballs and jolly ranchers and. How many bags will you be able to make?

Answers

Answer: 6 bags 5 fire balls and 7 jolly ranchers in one bad

Step-by-step explanation:Ok so you got 30 fire balls 42 ranchers what you can do is see like wow more ranchers in a bag we know that hmm 42/6 is ya know 7 and that 6 does it go into 30 yeah it does 30/6=5 so you got 5 fire balls and 7 jolly ranchers is each bag with 6 bags

Answer:

6 bags

Step-by-step explanation:

The GCF of 30 and 42 is 6.

30/6 = 5

42/6 = 7

To use all candy, put 5 fireballs and 7 jolly ranchers in each bag. You will make 6 bags.

Determine whether the triangles are similar. If so, what are the similarity statement and the postulate or theorem used? A) traingleDGH~trianlgeDFE;SSS~
B)trianlgeDGH~traingleDFE;SAS~
C)trianlgeDGH~trianlgeFEG, SAS~
D)The triangles are not similar

Answers

The triangles are not similar and the theorem used is : (D) The triangles are not similar

Meaning of similar triangle

Similar triangles are triangles that look alike or share some common feature.

Similar triangles must satisfy one or all of the theorem that verifies for similarity of triangles and one of those theorem is the SSS (Side side side) theorem.

The SSS validates that three sides of the triangle are in proportion with the other triangle since the value/length of the third side is missing the triangles can be said to non-similar

In conclusion, The triangles are not similar and the theorem used is : The triangles are not similar

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the answer is d 
sides and angles show similarity

Which values represent the first two terms of the sequence a1=2 and an=-2(an-1)^2?2, -8
-2, 16
-8,-128
16, 1024

Answers

Hello,

a_(1)=2
a_(n+1)=-2*a_(n)^2

a_(1)=2
a_(2)=-2*2^(2)=-8
a_(3)=-2*(-8)^(2)=-2*64=-128


Answer C

Three fourths of a number decreased by nine is at least forty-two. As an inequality.

Answers

Answer

x ≥ 68


Explanation

let that number be x.

(3/4) of x = (3/4) × x

                = 3x/4

Decrease 3x/4 by 9,

3x/4 - 9

This expression is at least 42,

∴ 3x/4 - 9  ≥ 42

   3x - 36 ≥ 168

    3x ≥ 168 + 36

    3x ≥ 204

      x ≥ 68
(3x/4) - 9 > 42

that > should be underlined to get the "or equal" in there

Amir arranged 9 photos on a bulletin board. He put the photos in rows. Each row contains the same number of photos. How many photos could be in each row?

Answers

Answer: There will be 3 rows with 3 photos.

Step-by-step explanation:

Since we have given that

Number of photos to be arranged by Amir on a bulletin board = 9

According to question, we have given that each row contains the same number of photos.

Let the number of rows be x

So, the number of photos also be x

So, our equation becomes

x^2=9\n\nx=√(9)\n\nx=3

So, there will be 3 rows with 3 photos.
three rows of threes 
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4.5.11Mohamed wrote the paragraph proof to show that ADEG AEFG. What mistake did he make?ADEG and AEFG are right triangles.The figure shows DE = EF, ANDEG EG by the Reflexive Property.Therefore, by the HL theorem,ADEG AEFGGX ХChoose the correct answer below.O A. The two triangles are congruent by SAS, not the HL Theorem.O B. In AEFG, EF is a leg and in ADEG, DE is the hypotenuse, so they cannot be corresponding sides.O C. The two triangles are congruent by SSS, not the HL Theorem.OD. In AEFG, EG is a leg, and in ADEG, EG is the hypotenuse, so they cannot be corresponding sides.
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