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3 years ago

Pat ran 18/24 of the distance to the park what is the fraction in simplest form

Mathematics

2 answers:

professor190 [17]3 years ago

5 0

Well, lets look at the greatest common factor. 18 and 24 both go into 6 evenly and cannot go into 7 evenly, so 6 is the greatest common factor. Then divide both the numerator and denominator. 18÷6=3 and 24÷6=4. The new fraction is 3/4.

Nikitich [7]3 years ago

3 0

18/24 can both be divided by 6, so it's 3/4

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Which best explains whether a triangle with side lengths 2in , 5in , 4in. is an acute triangle

lutik1710 [3]

So we know that 3,4 and 5 are pythagorean triplet and these result from a right triangle sides length
- than 3,4 and 5 mean right triangle so 2,5 and 4 mean acute triangle sure or you can prove it in this way too
- than 3^2 +4^2 =5^2 => a right triangle so than
2^2 +4^2 < 5^2 => an acute triangle

hope helped

3 0

3 years ago

The solution for the following system of equations is shown on the graph. What is the solution?

Bingel [31]

The solution is (3 , 4) ⇒ 2nd answer

Step-by-step explanation:

The system of equations can be solved by:

Elimination method
Substitution method

The system of equations is:

y = 3 x - 5 ⇒ (1)

y = $\frac{1}{3}$ x + 3 ⇒ (2)

By using the substitution method substitute y in equation (2) by equation (1)

3 x - 5 = $\frac{1}{3}$ x + 3

Subtract $\frac{1}{3}$ x from both sides

$\frac{8}{3}$ x = 8

Divide both sides by $\frac{8}{3}$

x = 3

substitute x by 3 in equation (1)

y = 3(3) - 5

y = 9 - 5

y = 4

The solution is (3 , 4)

Learn more:

You can learn more about the system of equations in brainly.com/question/6075514

#LearnwithBrainly

5 0

3 years ago

I don’t understand how to do this at all.

avanturin [10]

Answer:

Step-by-step explanation:

(m+3) (m-1)

We need to FOIL

first m*m = m^2

outer -1*m = -m

inner = 3m

last 3*-1 = -3

Add these together

m^2 -m +3m -3

m^2 +2m -3

3 0

3 years ago

James states that quadrilateral

mr_godi [17]

Using the distance formula,

$AD=\sqrt{(-1-3)^{2}+(-3-(-4))^{2}}=\sqrt{17}\\\\BC=\sqrt{(5-9)^{2}+(1-0)^{2}}=\sqrt{17} \\\\\therefore \overline{AD} \cong \overline{BC}$

$AB=\sqrt{(-1-5)^{2}+(-3-1)^{2}}=\sqrt{52}=2\sqrt{13}\\\\CD=\sqrt{(9-3)^{2}+(0-(-4))^{2}}=\sqrt{52}=2\sqrt{13}\\\\\therefore \overline{AB} \cong \overline{CD}$

Since ABCD has two pairs of opposite congruent sides, it is a parallelogram.

3 0

2 years ago

Hector invests $20,000 at age 21. He hopes the investment will be worth $200,000 when he turns 40. If the interest compounds con

KiRa [710]

Answer:

12.12%

Step-by-step explanation:

We have that the formula is given by:

A = p * e ^ (r * t)

From here, we know that A = 200000; p = 20000 and the time we can calculate 40 - 21 = 19

if we replace we have:

200000 = 20000 * e ^ (19 * r)

we must calculate r:

e ^ (19 * r) = 200000/20000

e ^ (19 * r) = 10

19 * r = ln 10

r = ln 10/19

r = 0.1212

In other words, the rate of growth is 12.12%

8 0

3 years ago

Read 2 more answers