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Ulleksa [173]
3 years ago
13

3 question's for 60 points?                            

Mathematics
1 answer:
lakkis [162]3 years ago
3 0
1.) Let their speed be x, then distance travelled = speed x time
1.5x + 2.5x = 240
4x = 240
x = 240/4 = 60
Their speed is 60 miles per hour.

2.) Let catie's brother's age be x, then catie's age is 3 + x
x + 3 + x ≤ 31
Required inequality is 2x + 3 ≤ 31
2x ≤ 31 - 3
2x ≤ 28
x ≤ 28/2
x ≤ 14

Therefore, the oldest age Catie's brother can be is 14 years old.

3.) Let June's age be x, then her father's age is 6x
6x + x ≥ 77
7x ≥ 77
x ≥ 77/7
x ≥ 11

The youngest age Julio can be is 11 years old.
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Find the area of the figure by subtraction.
Grace [21]
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Which of the following is an arithmetic sequence?
MaRussiya [10]
Answer: {2, -2, -6, -10}

Arithmetic sequences are defined by a common difference between the numbers that’s both constant and consecutive.

To break it down:

The first option is {-1, 3, -3, -1}, which appears to be alternating, and there is more than 1 difference between the n term values. That is:

-1 to 3 = increase of 4
3 to -3 = decrease of 6
-3 to -1 = increase of 2

Therefore does not follow the definition of an arithmetic sequence.

The second option (the answer) {2, -2, -6, -10} is arithmetic, as it consistently and thus consecutively decreases by 4.

Finally, the last two sequences have the same issue with their pattern, {3, 6, 9, 15}
and {4, 14, 24, 32}. In which they stay constant for the first three n terms, but suddenly change in value on the 4th n term. Therefore, they are not arithmetic.

I hope this helped!
8 0
3 years ago
Find the value of x. Round to the nearest tenth.
vfiekz [6]

Answer:

60

Step-by-step explanation:

to find w:

sin(44) = w/30

w = 30sin(44)

w = 20.8 to 1 decimal place

to find x;

cos(x) = 20.8/45

x = cos^{-1}(20.8/45)

x = 62.46940334

x = 60

3 0
3 years ago
Plz help me with this
dedylja [7]

Answer:

Help with what?

Step-by-step explanation:

8 0
2 years ago
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motikmotik
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7 0
3 years ago
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