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dezoksy [38]
3 years ago
8

Davis runs at a speed of 4 3/4 miles per hour. at this rate how far can he run in 3 1/2 hours

Mathematics
1 answer:
ch4aika [34]3 years ago
6 0
I hope this helps you

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Suppose a line parallel to side BC of ABC intersects sides AB and AC at points X and Y, respectively. Find the length of AC if A
elena-s [515]

Answer: AC=3.5

Solve proportionally:3 over 4 equals 1.5 over x.

3x= 6

6/3=2

X=2

2+1.5=3.5

6 0
3 years ago
Read 2 more answers
Suppose that a, b \in \mathbb{Z}a,b∈Z, not both 00, and let d=\gcd(a, b)d=gcd(a,b). Bezout's theorem states that dd can be writt
lara [203]

Answer:

Step-by-step explanation:

Recall that we say that d | a if there exists an integer k for which a = dk. So, let d = gcd(a,b) and let x, y be integers. Let t = ax+by.

We know that d | a, d | b so there exists integers k,m such that a = kd and b = md. Then,

t = ax+by = (kd)x+(md)y = d(kx+my). Recall that since k,  x, m, y are integers, then (kx+my) is also an integer. This proves that d | t.

3 0
3 years ago
Find the domain and range of the function f(x)= 8|x|+sinx
erik [133]
Dominio:
(−∞,∞),{x|x∈R}

Rango:
(−∞,∞),{y|y∈R}
6 0
3 years ago
One leg of a right triangle has a length of 5m. The other sides have lengths that are consecutive integers. Find these lengths.
pickupchik [31]

The lengths of the other two sides of the right triangle are 12 and 13

<h3>Pythagorean theorem </h3>

From the question, we are to determine the lengths of the other sides of the triangle

From the given information,

The other sides have lengths that are consecutive integers

Thus,

If the length of the other side is x

Then,

The hypotenuse will be x + 1

By the <em>Pythagorean theorem</em>, we can write that

(x+1)² = x² + 5²

(x+1)(x+1) = x² + 25

x² + x + x + 1 = x² + 25

x² - x² + x + x = 25 - 1

2x = 24

x = 24/2

x = 12

∴ The other leg of the right triangle is 12

Hypotenuse = x + 1 = 12 + 1 = 13

Hence, the lengths of the other two sides are 12 and 13

Learn more on Pythagorean theorem here: brainly.com/question/4584452

#SPJ1

7 0
2 years ago
Anita and Joelle bowled together and their combined total score for one game was 425 points. Anita’s score was 40 less than twic
wariber [46]
Call Anita's score "y" and Joelle's score "x".

1) "<span>their combined total score for one game was 425 points"
</span>Therefore x+y=425

2)"Anita’s score was 40 less than twice Joelle’s." 
Therefore y=2x-40

Substitute:
x+2x-40=425

Solve:
3x=465
x=155

Backsubstitute:
y=2x-40
y=2(155)-40
y=270

6 0
3 years ago
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