A 96-inch board is cut into two pieces. One piece is 6-inches longer than twice the other piece. Let x = the length of the first piece. Let y = the length of the second piece. Which is the system of equations that represents this situation? *
x - y = 96; y = 6x + 2
x + y = 96; y = 2x + 6
x + y = 6; y = 96x + 2
x - y = 2; y = 6x + 96

Answer:118 for the other angle

Step-by-step explanation:trust me bro

Answer:

[tex]4\frac{3}{8}[/tex]

Step-by-step explanation:

subtract [tex]19\frac{1}{8}[/tex][tex]-14\frac{3}{4}[/tex]

Hope this helps!

Answer:

Step-by-step explanation:

Step one.

Read the slope

-1/4

Step two

Put the slope in the general equation

y = mx + b

y = -1/4 x + b

Step 3

Put the point into the equation from step 2

(-8,5)

5 = -1/4  -8   + b

5 = 2 + b                   Subtract 2 from both sides

5-2 = b

b = 3

Step 4

Write the entire equation

y =   -1/4 x + 3

Answer: 11 . 5.65 (6)

12 14.1

Step-by-step explanation:

Answer:

Hey... Im zoribelle

Step-by-step explanation:

Answer:

Answer down below Branliest Please

Step-by-step explanation:

Answer:

10% interest

Step-by-step explanation:

150,606.59 - 78,170 = 72,436.59

72,436.59 / 9 = 8,048.51

8,048.51 / 78,170 = 0.1029... = 10%

Answer:

x=10

Step-by-step explanation:

3x+10=6x-20 Set the angles equal to each other b/c they are alt. int. angles.

-3x       -3x Subtract by 3x on both sides to get x by itself

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

+10    =3x-20

+20         +20 Add 20 to both sides to get x by itself

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

30    =3x

/3        /3 Divide both sides by 3 to get x by itself

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

10    =x

x=10 Write x first.

Answer:

75% increase

Step-by-step explanation:

First we need to figure out how many new records she got this year...

7-4 = 3 new records.

Now, we need to know how many times 4 goes into 100%....

100 ÷ 4 = 25%

This tells us that a single record this year is a 25% increase.

Now, we multiply 25% by 3 to get 75% as our final answer

Hope this Helps!!! :)

Let me know if I should change anything or if the answer was perfect!

Answer:

PB = 1.8

Step-by-step explanation:

PQ = 8 cm, BC = 10 cm and AB = 9 cm

∆ABC is similar to ∆APQ.

Therefore:

[tex] \frac{AB}{AP} = \frac{BC}{PQ} [/tex]

Plug in the values

[tex] \frac{9}{AP} = \frac{10}{8} [/tex]

Cross multiply

AP × 10 = 8 × 9

AP × 10 = 72

Divide both sides by 10

AP = 7.2

PB = AB - AP

PB = 9 - 7.2

PB = 1.8

9514 1404 393

Answer:

  n = 5/3

Step-by-step explanation:

Eliminate fractions, add 4, divide by the coefficient of n.

  [tex]\dfrac{3}{5} n-\dfrac{4}{5}=\dfrac{1}{5}\\\\3n-4=1 \qquad\text{multiply by 5}\\\\3n=5 \qquad\text{add4}\\\\\boxed{n=\dfrac{5}{3}} \qquad\text{divide by 3}[/tex]

Answer:

its 36 because i said so

Step-by-step explanation:

becuase i am papi

Answer:

4,1

Step-by-step explanation:

x+y=5 2x-y=7

x=5-y 2(5-y)-y=7

10-2y-y=7

10-3y=7

10-7=3y

3=3y

1=y

substitutes y=1 in x+y=5

x+1=5

x=5-1

x=4

(4,1)

check:

x+y=5

4+1=5

Answer:

The ratios in option b and d form a proportion.

Step-by-step explanation:

Option a)

1:2 or 1/2 is already in the simple form

Let us reduce 4:2 or 4/2 to check whether it is equal to 1/2 or not

as 4/2 = 2/1 which is NOT equal to 1/2

Thus, 1:2 and 4:2 are NOT in proportions

Option b)

1:2 or 1/2 is already in the simple form

Let us reduce 2:4 or 2/4 to check whether it is equal to 1/2 or not

as 2/4 = 1/2 which is EQUAL to 1/2

Thus, 1:2 and 2:4 are in proportions

Option c)

2:1 or 2/1 is already in the simple form

Let us reduce 2:4 or 2/4 to check whether it is equal to 2/1 or not

as 2/4 = 1/2 which is NOT equal to 2/1

Thus, 2:1 and 2:4 are NOT in proportions

Option d)

2:1 or 2/1 is already in the simple form

Let us reduce 6:3 or 6/3 to check whether it is equal to 2/1 or not

as 6/3 = 2/1 which is equal to 2/1

Thus, 2:1 and 6:3 are in proportions

Therefore, the ratios in option b and d form a proportion.

Answer:

The answer is B, 13

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

4x=52 because they are vertical angles so are congruent

x=52/4=13

Answer:

92.7?????

Step-by-step explanation:

Answer:

Gold is LESS expensive than platinym because SLOPE of graph is LESS

SLOPE gives UNIT DOLLARS PER OUNCE.

Step-by-step explanation:

sorry im late

Change Y to 0.

y=8x+21

0=8x+21

-8x=21

[tex]x=\frac{21}{-8\\}[/tex]

Answer:

7, 5, 3, 1, ...

Step-by-step explanation:

7, 5, 3, 1, ...

The rule for this arithmetic sequence is -2n + 9

Answer:

1. (2,2) 2. (4,1)

Step-by-step explanation:

Solve by graphing both equations. Where the two equations meet, there is a solution.

Step-by-step explanation:

1)2,2

2)4,1

that's answers to your question

Answer:

7/10ths

Step-by-step explanation:

There are ten blocks all together, which is where the 10 comes from, there is 7 shaded that is where the 7 comes from.

Answer:

The percentage is 70%.

Step-by-step explanation:

There are 10 spaces total, and 7 are shaded in. 7 divided by 10 is 0.7.

0.7 as a percentage is 70%.

So 70% of the block is shaded in.

Answer:

1.) slope = 2

2.) slope = [tex]-2\frac{2}{3}[/tex]

3.) slope = [tex]\frac{2}{3}[/tex]

4.) slope = [tex]\frac{1}{4}[/tex]

5.) slope = [tex]1\frac{8}{9}[/tex]

6.) slope = -2

7.) slope = -3

Step-by-step explanation:

In order to find the slope we have to divide they "y" value (the number of units by which the piece of antler goes up) by the "x" value the number of units by which the piece of antler goes to the side). Notice the if the antler moves to the left as it foes up then the "x" value is negative.

Now as I said before we know this......

Let "m" be the slope, then....

[tex]m = \frac{y}{x}[/tex]

So now we just have to plug in the y and x values for each antler and we will get the slopes for each one of them.

1.)

[tex]m = \frac{y}{x}[/tex]

[tex]m= \frac{4}{2}[/tex]

[tex]m = 2[/tex]

2.)

[tex]m = \frac{y}{x}[/tex]

[tex]m = \frac{4}{-1.5}[/tex]

[tex]m = -2\frac{2}{3}[/tex]

3.)

[tex]m = \frac{y}{x}[/tex]

[tex]m = \frac{2}{3}[/tex]

4.)

[tex]m = \frac{y}{x}[/tex]

[tex]m = \frac{1}{4}[/tex]

5.)

[tex]m = \frac{y}{x}[/tex]

[tex]m = \frac{8.5}{4.5}[/tex]

[tex]m = 1\frac{8}{9}[/tex]

6.)

[tex]m = \frac{y}{x}[/tex]

[tex]m = \frac{2}{-1}[/tex]

[tex]m= -2[/tex]

7.)

[tex]m = \frac{y}{x}[/tex]

[tex]m = \frac{3}{-1}[/tex]

[tex]m = -3[/tex]

Answer:

4166 ants

Step-by-step explanation:

To find how many ants were left, multiply 5000 by 5/6, since it decreased by 1/6:

5000(5/6)

= 4166.67

Round this down:

= 4166

So, at the end of April, there were approximately 4166 ants left

The required number of ants left at the end of April is given as 4167 ants.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
Let the number of ants at the end of April be x,
According to the question,

Number of  ants left = total ants - decreased number of ants
x = 5000 - 1/6[5000]
x = 5000[1 - 1/6]
x = 5000[5/6]
x = 4166.67
x = ≈ 4167

Thus, the required number of ants left at the end of April is given as 4167 ants.

Learn more about models here:
https://brainly.com/question/22591166
#SPJ2

Answer:

x^2 -10x+25

Step-by-step explanation:

(x-5)^2

Rewriting

(x-5)(x-5)

FOIL

first: x*x = x^2

outer: x* -5 = -5x

inner: -5*x = -5x

last: -5 * -5 = +25

Add them together

x^2 -5x-5x+25

Combine

x^2 -10x+25

Answer:

x^2 - 10x + 25

Step-by-step explanation:

Use FOIL.

(x - 5)^2 = (x - 5)(x - 5) = x^2 - 5x - 5x + 25 = x^2 - 10x + 25

Answer:

$38.40

Step-by-step explanation:

Answer:

$38.40

Step-by-step explanation:

Answer: (-9,-1)

Step-by-step explanation:

Answer:

The relation represented by diagram 4 is NOT a function.

Step-by-step explanation:

To tell if a relation is not a function, pay attention to the x-intercepts. If there is more than one y-intercept with the same x-intercept, then it is not a function, because a function can only have one output (y-value) for each input (x-value).

According to the fourth diagram, the domains include 1, 2, and 3 while the range includes A, B, and C. Also, the ordered pairs would go as follows according to the arrows:

(1, A), (2, A), (2, B), (3, C)

While the y-values, A and B, are different, they share the same input, 2. Therefore, the relation represented by the 4th diagram is NOT a function.

Hope this helps!

Answer:

the right-hand graph of the first diagram represents ordered pairs which are satisfied by the equation.

The correct graph is attached below.

Step-by-step explanation:

Given the function equation

Given that the cost of each ticket is $10.

It means:

at x = 0, y = 10(0) = 0                ∵ cost of 0 ticket

at x = 1, y = 10(1) = 10                 ∵ cost of 1 ticket

at x = 2, y = 10(2) = 20               ∵ cost of 2 tickets

at x = 3, y = 10(3) = 30                ∵ cost of 3 tickets

at x = 4, y = 10(4) = 40                ∵ cost of 4 tickets

at x = 5, y = 10(5) = 50                 ∵ cost of 5 tickets

Now, observe the ordered pairs points on the right-hand graph of the first diagram.

This graph has the following ordered pairs:

Thus, the right-hand graph of the first diagram represents ordered pairs which are satisfied by the equation.

The correct graph is attached below.

Answer:

the 3rd Option

Step-by-step explanation:

i did this 6 years ago

Answer:

X = -5

Step-by-step explanation:

3x - 15 = -30       You want to isolate tha variable

3x= -30+15    Add 15 to -15 in order to get rid of it. All you do to one side you do to the other, so you add 15 to 30

3x= -15    

x= -15÷3   Divide x by 3 in order to get rid of the 3. Do it to the other side

x=-5