13.
Write and solve a system of equations for each story problem.
A class of 366 students went on a field trip. They took 12 vehicles, some vans and some buses
Find the number of vans and the number of buses they took if each van holds 6 students and each bus holds
55 students

Answer:

Maria sent 32 messages

Jose sent 69 messages

and Tray sent 23 messages

Step-by-step explanation:

m = Maria

j = Jose

t = Trey

m+j+t = 124

j = 3t

t+9 = m $\Rightarrow$ t = m - 9

By substituting the value of t (third equation) into the second equation, we get:

j = 3(m - 9) = 3m - 27.

Finally, by sticking in the values of j, and t we just found out into the first equation, we get:

m + (3m - 27) + (m - 9) = 124

4m - 27 + m - 9 = 124

5m - 36 = 124

5m = 160

m = 32.

So, j = 69,

and t = 23.

Answer:

Step-by-step explanation:

If Gary's age is 14 then

Ash is 4 years younger = 14 - 4 = 10

And Oak is 5 times Gary's age = 14 x 5 = 70

So total ages = 70 + 14 + 10 = 94

Answer:

Surface Area is found by adding the areas of all the faces of the shape.

Step-by-step explanation:

Surface Area =2lengthwidth+2lengthheight+2heightwidth

Answer: The Temperature dropped 0.111 per day

Step-by-step explanation:

[tex]\frac{3 days}{27 degrees }[/tex]

3 divided by 27 = 0.111

Answer:

Answer: The Temperature dropped 0.111 per day

Step-by-step explanation:

3 divided by 27 = 0.111

Answer:

A

Step-by-step explanation:

Answer:

It's A

Step-by-step explanation:

It's in the middle of 0 and 1 (-1/2) on the x axis and for it to be in the middle of the two points the mid point stays on the x axis thus the y value (the value that goes up and down) is 0.

Answer:

I disagree with joe.

Step-by-step explanation:

1/8 of a figure is smaller than 1/4. 2/8 of a figure is the same thing as 1/4 though.

Answer:

[tex]f^-1(x)=\frac{ln(x)}{ln(8)}[/tex]

The inequalities y > 2x + 4 and x + y ≤ 6 can be plotted on the coordinate plane as shown in the picture.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

We have two inequalities:

y > 2x + 4

x + y ≤ 6

We can plot the above inequality on the coordinate plane.

The inequalities representing the region between the two lines the lines are:

y = 2x + 4

x + y = 6

y > 2x + 4  (dashed line on the graph)

x + y ≤ 6     (solid line on the graph)

Thus, the inequalities y > 2x + 4 and x + y ≤ 6 can be plotted on the coordinate plane as shown in the picture.

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Answer:

i think is B hope it helped sos if its wrong

Step-by-step explanation:

Answer:

67

Step-by-step explanation:

because u add

Answer:

1. 9

2. 122cm squared

3. 189m

4. 30

5. b

Step-by-step explanation:

1. 27,36,45,54,63,72,81,90,99

2. 12x6=72 10x5=50 50+72=122

3. 21x9=189

4. 5x12=60 60/2=30

5  b because 150 divided by 4 doesn't give you a whole number.

Answer:

42/100

Step-by-step explanation:

Answer:

circle: a sphere, cone, or a cylinder as 3d

Answer:

3/47

Step-by-step explanation:

of the 47 total cars, 3 of them are a beige SUV

answer:

-13/12

Step-by-step explanation:

use the formula to find slope using points

it is: y2-y1/x2-x1

plug in point values into formula

-3 = x1. 9 = x2

-2= y1. -15 = y2

-15-(-2)/ 9-(-3)

-13/12

Answer:

m= -13/12

Explanation:

formula to solve: x1-y1

                            x2-y2

Answer:

0.6 is equivalent

Answer:

60/100=6/10=4/5

0.6

Step-by-step explanation:

these are all equivalent

Answer:

negative:-7, -8, -9

positive: 8,4,6

Step-by-step explanation:

Answer:

5 and -5

Step-by-step explanation:

you could use a number line and make it go two ways from 0, any number to the left is negative, any numbers right are positive.

Answer: x= 33

i subtracted -10 away from 56  and i got 66, then i divide 66 by 2x and got 33x.. which is your answer ;)  

Answer:

Step-by-step explanation:

B

Answer:

The correct answer for this problem is 55

Answer:

Using the inverse composition rule you know that if (fog)=x and (gof)=x then the functions are inverses.

( g o f ) = ( 7 x + 1 ) − 1 7  this will result in (gof)=x ( f o g) = 7 x − 1 7 +1 = x − 1 + 1 =x

graphically you can check this if it seems that the functions are reflected over the line x=y.

Step-by-step explanation:

Answer:

-7 x -7 x -7 x -7

Step-by-step explanation:

To the fourth power mean times itself four times

Answer:

A

Step-by-step explanation:

7x+6+72+46=180

7x=56

x=8

Answer:

279,936

Step-by-step explanation:

Since there are 6 options for every digit, and seven digits

So,

6^7=279,936

The total number of  distinct combinations for making 7 digits lock is 2,79,936.

A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters.

[tex]nP_{r} =n^{r}[/tex]

Where,

P is the total number of combinations.

n is the total number of items in a set

r is the total number of items to be selected from the set

According to the given question.

We have to form a lock that has 7 digits by using numbers from 0 to 5.

⇒ Total numbers of items in a set = 6

and total number of items to be selected = 7

Since, we have to form a lock of 7digits but we have only 6 digits. So we have to repeat this numbers so that we can form a 7 digit lock.

Therefore, the total number of combinations for making 7 digits lock is given by

[tex]6P_{7} = 6^{7}[/tex]

⇒[tex]6^{7}=2,79,936[/tex]

Hence, the total number of  distinct combinations for making 7 digits lock is 2,79,936.

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Answer:

16000 bacteria after 60 days

Step-by-step explanation:

60 divided by 12 = 5

500 x 2= 1000

1000 x 2 = 2000

2000 x 2 = 4000

4000 x 2 = 8000

8000 x 2 = 16000

The function is, f(x) =  2x/12*t

And, the number is 16000 bacteria after 60 days.

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, given that,

A bacteria grows exponentially so that it doubles every 12 days

let, initially the number of bacteria = x

after 12 days = 2x

i.e. after t days = 2x/12*t

So, the function is, f(x) =  2x/12*t

Now, we have,

60 divided by 12 = 5

So, the number of bacteria will be,

500 x 2= 1000

1000 x 2 = 2000

2000 x 2 = 4000

4000 x 2 = 8000

8000 x 2 = 16000

Hence,   the number of bacteria after 60 days is 16000.

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Answer:

3(x)-3(9)

Step-by-step explanation:

The brackets means you times everything within the brackets with everything outside it. So it would be 3 times x take away 3 times 9

Answer:

I guess Sofia is doing better than the other three students

Answer:Molly

Step-by-step explanation:

Molly can use her mode to show that she is doing better than the other three students.

Ashlee’s mode is 94, Belen’s mode is 79, Molly’s is 98, and Sofia doesn’t have a mode. The highest is Molly, so she should use her mode to show she is doing better.