Archbridge Bus Company have a very small road on the exit of their bus garage. This means they need to be aware of when this road will be used by multiple buses. The 157 bus leaves every 33 minutes. The 183 bus leaves every 6 minutes. All buses start service at 9:00. Apart from when the buses leave at 9:00, at what time will both be leaving the garage at the same time?

Answer:

Step-by-step explanation:

[tex]6x + \frac{1}{4} (4x + 8) > 12[/tex]

Expand the terms in the bracket

That's

[tex]6x + x + 2 > 12 \\ 7x + 2 > 12[/tex]

Subtract 2 from both sides of the inequality

That's

[tex]7x + 2 - 2 > 12 - 2 \\ 7x > 10[/tex]

Divide both sides by 7

That's

[tex] \frac{7x}{7} > \frac{10}{7} [/tex]

We have the final answer as

[tex]x > \frac{10}{7} [/tex]

Hope this helps you

Answer:

x= -1

x=1

Step-by-step explanation:

Answer: Substitution

Step-by-step explanation:

GIVEN:

y=3x

2x+4y=12

Then, 2x+4(3x)=12

-----------------------------------------

Substitution: replacing one variable in terms of another variable.

As we can see from the given aspects, y=3x, and the conclusion expression has no y instead of 3x. This means it represented y in terms of x, which fits the definition of substitution that replaces one variable.

Hope this helps!! :)

Answer:

its yes I think

Step-by-step explanation:

ummm I think its yes it's hard to explain

Answer:b

Step-by-step explanation:

Answer:

                1 C) 23

               2 D) x + y + 2

Step-by-step explanation:

1.

a = 1 ,  b = -23, c = 130

b²-4ac = (-23)²- 4×1×130 = 529 -520 = 9>0

if solutions (A=x₁, B=x₂) exist (b²-4ac≥0) then based on vieta's formula:

[tex]A+B=x_1+x_2=-\dfrac{b}a=-\dfrac{-23}1=23[/tex]

2.

sum of two even integers is na even integer

sum of two odd integers is na even integer

only sum of an even integer and an odd integer is an odd integer

x is even and y is odd so 2x is even and ±2y is even and x+y is odd

1 is odd and 2 is even which means:

2x±2y is even,

x+y + 1 is even

x-2y is even

only x+y+2 is odd (as sum of odd x+y and even 2)

Answer:

147 maybe?

Step-by-step explanation:

Answer:

Step-by-step explanation:

16=5p-6

17=y

Answer:

the answer is C on egd2020

Step-by-step explanation:

god bless:}

Answer:

B. Angles ABD and BAD

Step-by-step explanation:

The way that you tell which angles are congruent, are based on the angle marks. Angle A and C are congruent because they both contain 3 of the congruency marks, meaning they would equal the same degree. The answer is B because starting with angle BDA, B is your starting point, whereas D is the angle and A is the point you end on. With angle BAD, you start at point B and end at D, making angle A the one you're looking at. Because angle A contains 3 congruency marks, while angle B only contains one, this makes the two angles NOT congruent. Hope this helps. :)

Answer:

angles ABD and BAD

Step-by-step explanation:

The congruent angles match in the number of angle markings on the diagram.

Answer:

B

Step-by-step explanation:

no explanation.......

Answer:

(-2.5,2.2)  

Step-by-step explanation:

Answer:

6

Step-by-step explanation

265+48=313

553-313=240

240/60=6

Answer:

equation : 265 + 48T = 553

T = 6 hours

Step-by-step explanation:

equation

553 - 265 = 288

288 /48 = 6

the number of hours spent is 6

equation : 265 + 48T = 553

T = 6 hours

Answer:

Step-by-step explanation:

it is related as all integers are rational numbers

The required solution is integers are rational numbers.

It is required to find the solution.

Real numbers are numbers that include both rational and irrational numbers. Rational numbers such as integers (-2, 0, 1), fractions(1/2, 2.5) and irrational numbers such as √3, π(22/7), etc., are all real numbers.

Solution:

They are related because most of the integer numbers are similar to rational numbers. Also, when subtracting, it is basically like adding a negative number which is a integer. They are related because the equations have both integer and rational numbers in it.

∴It is related as all integers are rational numbers.

Therefore, the required solution is integers are rational numbers.

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Answer:

Area = a2

a = length of side

Answer:

ok hold on ima do it step by step

Answer:

3.140

Step-by-step explanation:

Answer:

3.14

Step-by-step explanation:

-----

Answer:

a=6

Step-by-step explanation:

Answer:4x=1/6

because of how its written you would be multiplying 4x by 1/6 if they asked you to solve it. but since they asked you to write the equation all you have to do is put 4x on one side of the equal sign and 1/6 on the other so if they ask you to solve it all you have to do is multiply both sides by 1/6

Answer:

B

Step-by-step explanation:

x^2=3x-2(subtract 3x and add 2) x^2-3x+2=0(group) (x-1)(x-2)=0(find x) x=1;x=2

find y values for x values and check:

1^2=1,     pair 1:(1,1); 3(1)-2=3-2=1, same pair

2^2=4, pair 2:(2,4);  3(2)-2=6-2=4, same pair

pairs: (1,1);(2,4)

Answer:

30

Step-by-step explanation:

Answer:

Yes, they can buy all the bags.

Step-by-step explanation:

Owen's parents need to buy 6 bags for $2.49 each.

So, we need to calculate the total price:

$2.49 * 6 = $14.94

Since the bags cost $14.94, and Owen's parents have $20.00, they have enough money to buy all 6 bags. 14.94 < 20.00

Hope this helps!

Answer:

They will have enough money to spend on 6 goodie bags

Step-by-step explanation:

First, you need to mutiply $2.49 × 6 and then you get 14.94

then you need to subtract $20.00 - 14.94 to get $5.06

so your answer should be,  ¨Owen´s parents will have $5.06 left after spending $14.94 of their $20.00 on goodie bags¨

Answer:

You multiply each term inside the parentheses by -1 in order to subtract each term, since subtraction is the additive inverse.

Step-by-step explanation:

Subtraction is the additive inverse. We multiply each term in parentheses by -1  in order to open the parentheses and start adding the resulting terms.

Answer:

20 people

Step-by-step explanation:

The first step is to find out how many people are in 1/7 of the group. To do this, we divide 28÷7, and our answer is 4.

28÷7=4

Our next step is to find out how many people are in 2/7 of the group. We would double the 4, since 1/7 doubled is 2/7, and get 8.

4 x 2= 8

Now we know that 8 people ordered ice cream. To find the number of people who ordered the special, we subtract 8 from 28.

28-8= 20

Therefore, 20 people ordered the special. Hope this helps!

If 28 people ordered dessert, 2/7 ordered ice cream then 20 people ordered the rest.

Two or more expressions with an Equal sign is called as Equation.

Given that 28 people ordered dessert.

2/7 ordered ice cream and the rest ordered the special how many people ordered the special.

1/7 of the 28 people is 4.

Our next step is to find out how many people are in 2/7 of the group. We would double the 4, since 1/7 doubled is 2/7, and get 8.

4 x 2= 8

we know that 8 people ordered ice cream.

To find the number of people who ordered the special, we subtract 8 from 28.

Twenty eight minus eight equal to twenty.

28-8= 20

Hence, 20 people ordered the special.

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Answer:

See Below

Step-by-step explanation:

First, isolate x. To do that add 3.5 to each side

x - 3.5 =  -3.1

  +3.5    +3.5

x= 0.4

Answer:

Step-by-step explanation:

X-3.5= -3.1  add 3.5 each side.

X = 3.5 - 3.1 simplify

X = 0.4   done!

Answer:

These angles are called angle pairs. ... Supplementary angles are two angles whose sum is equal to \begin{align*}180^\circ\end{align*}. In other words when you add the measure of one angle in the pair with the other angle in the pair, they equal 180 degrees.

Step-by-step explanation:

Hope this helps you <3

Answer:

The perimeter is 16 units.

Step-by-step explanation:

Once you graph all the sides you can easily count and see the perimeter is 16. :)

Answer:

  Multiplying by 1 does not change the ratio

Step-by-step explanation:

Multiplying a/b by c/c gives the equivalent ratio (ac)/(bc) because c/c is 1, the multiplicative identity element. Multiplying by 1 does not change the ratio.

Answer:help me pls then ill help u

Step-by-step explanation:

A train traveled at a constant speed for six hours and traveled a distance of 408 miles. What is the best estimate of the number of miles the train could travel in 2.5 hours? *

Answer:

6cm

Step-by-step explanation:

Area of a square =

[tex]s^2[/tex]

Where s = one side

s = ?

[tex]A = s^2\\\\36 =s^2[/tex]

Square root both sides

[tex]\sqrt{36} = \sqrt{s^2} \\\\6 =s[/tex]

Answer:

Answer:

x = 7

Step-by-step explanation:

0 = 4(x+5) + 8

expand:

0 = 4x + 4*5 + 8

0 = 4x + 20 + 8

0 = 4x + 28

simplify

4x = 28

simplify

x = 28 / 4

x = 7