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masha68 [24]
3 years ago
7

The midnight express train take 9 hours to travel 1818 kilometers with no stop at that rate how many kilometers will the travel

in 4 hour

Mathematics
2 answers:
Vlad1618 [11]3 years ago
8 0

Answer:

808 km

Step-by-step explanation:

So in 9 hours, 1818 km are traveled.

     In 4 hours, x km are traveled.

We can setup a proportion with this information to solve for x.

\frac{9}{4}=\frac{1818}{x}

Cross multiply:

9x=1818(4)

Divide both sides by 9:

x=\frac{1818(4)}{9}

x=808

bija089 [108]3 years ago
3 0

Answer:

808 kilometers

The drawings will help

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4x-3y=2<br> 3x=5y=16<br> solve using substitution method
vodomira [7]

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\boxed{y=2}\\\\\text{substitute the value of y to}\ (*):\\\\x=0.75(2)+0.5\\\\x=1.5+0.5\\\\\boxed{x=2}\\\\Answer:\ x=2\ and\ y=2\to(2,\ 2)

7 0
3 years ago
Select all that apply.
Nata [24]

Answer: 12 girls to 27 students

5 boys to 9 students

15 boys to 12 girls

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4 0
3 years ago
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Complete the square to find the vertex of this parabola.PLEASE HELP!!
Paladinen [302]

Answer:

(1, 5 )

Step-by-step explanation:

Given

x² - 2x + y - 4 = 0 ( add 4 to both sides )

x² - 2x + y = 4

Complete the square on x² - 2x

add ( half the coefficient of the x term )² to both sides

x² + 2(- 1)x + 1 + y = 4 + 1, that is

(x - 1)² + y = 5

Subtract (x - 1)² from both sides

y = - (x - 1)² + 5

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

y = - (x - 1)² + 5 ← is in vertex form

with vertex = (1, 5 )

4 0
3 years ago
The weights of red delicious apples are approximately normally distributed with a mean of 9 Ounces and a standard deviation of 0
Simora [160]

Answer:

The mean of W is 55 ounces.

The standard deviation of W is 4.33 ounces.

Step-by-step explanation:

Let X: weight of a red delicious apple, and B: the weight of the box and packing material.

The distribution that will represent W: the total weight of the packaged 5 randomly selected apples will be also normally distributed.

Applying the property of the mean: E(aX)=aE(X), the mean of W will be:

\mu_W=E(W)=E(5X+B)=5E(X)+E(B)=5*9+10=45+10=55

Applying the property of the variance: V(aX+b)=a^2V(X), the variance of W will be:

\sigma^2_W=V(W)=V(5X+B)=5^2V(X)+V(B)=25*0.75+0=18.75

The mean standard deviation of W will be the squared root of V(W):

\sigma_W=\sqrt{V(W)}=\sqrt{18.75}=4.33

The mean of W is 55 ounces.

The standard deviation of W is 4.33 ounces.

3 0
3 years ago
On the Algebra test the number of students who got a grade A was three more than twice the number of students who got lower grad
svlad2 [7]
X= # students who got lower grades
2x+3= # students with grade A

STEP 1:
Add the two sets above equal to 24.

x + (2x + 3)= 24
combine like terms

3x + 3= 24
subtract 3 from both sides

3x= 21
divide both sides by 3

x= 7 (# students lower than A)


STEP 2:
substitute x value from step 1 to find # grade A students

=2x + 3
=2(7) + 3
=14 + 3
=17 (# grade A students)


CHECK:
x + (2x + 3)= 24
7 + 2(7) + 3= 24
7 + 14 + 3= 24
24= 24


ANSWER: There were 17 students with grade A.

Hope this helps! :)
4 0
3 years ago
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