MATHEMATICS HIGH SCHOOL

Kyle asks his friend Jane to guess his age and his grandmother’s age. Kyle says his grandmother is not more than 80 years old. He says his grandmother’s age is, at most, 3 years less than 3 times his own age. Jane writes this system of inequalities to represent k, Kyle’s age, and g, Kyle’s grandmother’s age. Inequality 1: g > 80 Inequality 2: g ≤ 3k – 3 Which inequality did Jane write incorrectly, and how could it be corrected?

Answers

Answer 1
Answer: not more tha 80 means
g is less than or equal to 80 or
g<80

grandmothers age is at most, 3 years less than 3 tmes his age
g is equal to or less than 3 years less than 3 times k
g<-3+3k

we have
g<80 and
g<3k-3

the first one is incorerct, it is written as g>80 in the question, but it should be g<80
Answer 2
Answer:

Answer:

LETTER ANSWERR IS A.

Step-by-step explanation:

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Tracy goes on a 3 day and night school band trip. There is no cost for travel and each band member only pays half the cost of the hotel room. However, each person is responsible for the cost of their own meals. His portion of the hotel bill is $49 per night and Tracy leaves a 10% tip for the maid service. Before tax, Tracy spends $32 per day on eating out plus 15% of this amount in tips. If Tracy spends a total of $280.74 on the band trip, what percent tax was Tracy charged on his food?

Divide 10 by 4and then subtract 6.2

Answers

10 : 4 - 6,2    sharing takes precedence

(10)/(1) : (4)/(1) - 6 (2)/(10) = \n \n (10)/(1) * (1)/(4) - 6 (2)/(10) = \n \n (5)/(1) * (1)/(2) - 6 (2)/(10) = \n \n (5)/(2) -6 (2)/(10) = \n \n 2 (1)/(2) - 6 (2)/(10) = \n \n 2 (5)/(10) - 6 (2)/(10) = \n \n 2 (5)/(10) - 2 (5)/(10) - 3 (7)/(10) = -3 (7)/(10)

Given ST Bisects the angle Solve for X
Solve for the m Solve for the m

Answers

Answer:

Step-by-step explanation:

5x + 6 = 3x + 10

2x + 6 = 10

2x = 4

x = 2

m<DST = 3(2) + 10 = 6 + 10 = 16

m<DSE= 5(2) + 6 = 10 + 6 = 16

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Laura’s credit card has an APR of 12.04%, and it computes finance charges using the daily balance method and a 30-day billing cycle. On June 1st, Laura had a balance of $606.40. She made exactly one transaction in June: a payment of $55.25. If Laura’s finance charge for June was $5.71, on which day did she make the payment?

Answers

Finance charge is equal to:
daily balance*A*P*R*billing cycle/365
db  0.1204  30/365 = 5.71
db = 577.01 (I am rounding every answer, and keeping the number in my calculator, things won't work out exactly if you calculate using my numbers)Manipulate the formula for mean:
average = total/amount
577.01 = total/30
total over 30 days = 17,310.22Set up an equation with our information:
606.40x + 55.25(30-x) = 17,310.22
551.15x = 16,652.72
x = 28.4

The balance was $606.40 for 28 days, so she paid on the 29th.

Answer:

C: June 15th

Step-by-step explanation:

The weight of an object on the moon varies directly with its weight on Mars. If an object weighing 110 g on the moon weighs 250 g on mars, how much does an object weigh on the moon if it weighs 100 g on Mars?

Answers

Answer: 44g is the answer

What is the cube root of 64x12?

4x4
4x6
8x4
8x6

Answers

As 64 is a perfect cube, the coefficient part does not present any problems. However, for the variable with an exponent, it is easier to obtain the cube root by multiplying the exponent by (1/3), since the cube root operator is equivalent to raising a number to the power of (1/3). This is shown below:

cube root (64x^12) = 4 * x^(12)(1/3) = 4 *x^4

Therefore, the answer is 4x^4.

The cube root of 64x12 is 4x4 and is denoted as option A.

What is Cube root?

This is referred as a number which produces another when it is cubed and an example is ∛125 = 5.

64 is a perfect cube which gives 4 when cube rooted. On the other hand, 12 is cube rooted by multiplying the exponent by (1/3).

Cube root of (64x¹²) = 4 × x¹² (1/3) = 4× 4.

Read more about Cube root here brainly.com/question/310302

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You run around the perimeter of a baseball field at a rate of at least 10 feet per second. Which of the following are possible amounts of time that it takes you to run around the baseball field? The top of the semicircle is 40% of a circle of radius 175 ft. And the bottom two sides... I think... are 250 ft.

Answers

1) we have to calculate the lenght of the baseball field.

perimeter of the baseball field=2(radius)+lenght of a semicircle.

2(radius)=2(175 ft)=350 ft
lenght of a semicircle=40% of a circumference=(40/100)(2πr)

Perimeter of the baseball field=2(175 ft) + (40/100)(2π175 ft)=
=350 ft + 140π ft=350 ft + 439.82 ft=789.82 ft,


2)Now, we calculate the amounts of time that it takes you to ruan arount the baseball field.

10 ft------------------------1 second
789,82 ft-----------------    x

x=(789.82 ft * 1 second) / 10 ft=78.98 s≈79 s


answer: 79 seconds.

Answer:

79 seconds

Step-by-step explanation:
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