H. Pete wants a new truck. The sale price is 15% lower than the original price. The sale price is $20,000. Write and evaluate an expression for the original price Uses for sale price and p for original price. L. Emma Lee needs a new road bike. The sale price is 10% lower than the original price. The sale price is $450. Write and evaluate an expression for the original price, Uses for sale price and p for original price. J. You can find the distance in feet that an object falls in t seconds using the expression 1612. If you drop a ball from a tall building, how far does the ball fall in 5 seconds?​

[tex]\\ \rm\hookrightarrow (x,y)=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

[tex]\\ \rm\hookrightarrow (x,y)=\left(\dfrac{15+1}{2},\dfrac{9-9}{2}\right)[/tex]

[tex]\\ \rm\hookrightarrow (x,y)=\left(\dfrac{16}{2},\dfrac{0}{2}\right)[/tex]

[tex]\\ \rm\hookrightarrow (x,y)=(8,0)[/tex]

Answer:

[tex]mid \: point \: for \: x = \frac{x1 + x2}{2} \\ = \frac{15 + 1}{2} = \frac{16}{2} = 8 \\ mid \: point \: for \: y = \frac{y1 + y2}{2} \\ = \frac{ - 9 + 9}{2} \\ = \frac{0}{2} \\ = 0then \: (x \: y) = (8 \: 0) \\ thank \: you[/tex]

Step-by-step explanation:

the answer is in the image above

Answer:

Step-by-step explanation:

The value of the angle x is 85°

The sum of angles of a quadrilateral = 360°

This means that given a quadrilateral with angles, A, B, C, D ;

(A + B + C + D) = 360°

Given the angles of a quadrilateral : (x°, 150°, 77°, 48°)

The value of x will be obtained thus :

(x + 150 + 77 + 48) = 360

150 + 77 + 48 + x = 360

275 + x = 360

x = 360 - 275

x = 85°

Hence, the value of x is 85°

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Answer:

54ab

Step-by-step explanation:

the only two factors of 54ab^2 and 54ab is 1 and 54ab and the greatest of that would be 54ab.

Answer:

(2,2)

Step-by-step explanation:

(5+-1/2,8+-4/2)

(-2,2)

Answer:

answer is 19.1

Step-by-step explanation:

answer is 19.1

Answer:

cos6x.

Step-by-step explanation:

We use the identity

cosAcosB - sinAsinB = cos(A+B)

so cos5xcosx - sin5xsinx = cos(5x + x)

= cos6x.

Answer:

5.5

Step-by-step explanation:

3x + 15 - 7x = -7

-4x + 15 = -7

-4x = -7 -15

-4x = -22

x = -22/-4 = 5.5

Answer:

The integers are

1st: n

2nd: n + 1

3rd: n + 2

The words in the problem statement translate into

2(n + 1) = 3(n + 2) + 6

Solve for n.

2n + 2 = 3n + 12

n = -10

n + 1 = -9

n + 2 = -8

Step-by-step explanation:

Answer:

L,J, and K are collinear

Step-by-step explanation:

Answer:

sandwich and drink only (no dessert)

so 4 x 6 = 24

you have 24 different combinations you can do

hope this helps

Step-by-step explanation:

Answer:

10kg and 60 kg.

Step-by-step explanation:

Let the kid's mass be x kg, then the goat's mass is 6x.

x + 6x = 70

7x = 70

x = 10.

Step-by-step explanation:

Hi there!

Given;

f(x) = 17x + 9

h(x) = 4x

To find: f(x)-h(x)

f(x)-h(x)= 17x + 9 - 4x

= 13x + 9

Therefore, f(x)-h(x) = 13x + 9.

Hope it helps!

Answer:

f(4)=-10

x=0 if g(x)=2

i hope you will understand it

Answer:

A

Step-by-step explanation:

If you look at the number of dots in each circle, it is increased by 1 every picture so if we have 4 in the third circle, then we will have 5 in the fourth picture. Option A is the only option that contains 5 dots.

Best of Luck!

Answer:

n=1

Step-by-step explanation:

Start by distributing the -3 to (n-4)

14+3n=8n-3n+12

Then combine like terms on the right

14+3n=5n+12

Subtract 12 from both sides

2+3n=5n

Subtract 3n from both sides

2=2n

Divide both sides by 2

1=n

Hey there! I'm happy to help!

The equation y=0.5x simply means that Joseph is hiking 0.5 miles every hour. This is because the x value is the independent variable or the thing you change, which in this case is the time you take hiking. The distance, the y-value, is dependent on that time.

Now, let's look at Kelly's graph. This graph isn't a grid, so we will have to eyeball some of the numbers on the graph. It appears that after 10 hours, Kelly has traveled eight miles. This is because if you go up from the 10 and meet the line and then go to the left. you will be about at the line right below the 10 on the y-axis, and if you count the lines, you will see that we are counting by 2, so it has to be eight.

So, we see that Kelly takes 10 hours to go eight miles. We know that Joseph's distance is half of his time (4 hours would be 2 miles, 6 hours would be 3 hours, etc.)

So, if we say that Joseph hikes for ten hours, he will have hiked five miles as that is half of ten. We see, though, that Kelly made it eight hours in that time, so Kelly is going faster here.

Have a wonderful day and keep on learning! :D

Answer:

80

Good luck :)

Answer:

80

Step-by-step explanation:

[tex]\sqrt{a} * \sqrt{b} = \sqrt{ab}[/tex]

[tex]\sqrt{6400}[/tex]

6400 = 2 * 2 * 2 * 2 * 2 * 2 * 2 *2 * 5 * 5

          = 2^8 * 5^2

2^4 * 5

16*5 = 80

Answer:

a because I dont know why but some one told me it was this

Answer: A. There are three terms

Concept:

In an algebraic expression, there are several specific terms:

If you are still confused, you may refer to the attachment below for a graphical explanation.

Solve:

a. There are three terms. [tex]\boxed{FALSE}[/tex]

- 14b

- -7

- 8b

- b

There are in total four individuals, which means there are four terms.

b. There is one constant term. [tex]\boxed{TRUE}[/tex]

- 14b is a [variable + coefficient]

- -7 is a [constant]

- 8b is a [variable + coefficient]

- b is a [variable]

Therefore, there is one constant term.

c. The coefficients are 14, 8, and 1 [tex]\boxed{TRUE}[/tex]

- 14b →→→ 14 is the [coefficient]

- -7 →→→ is a [constant]

- 8b →→→ 8 is the [coefficient]

- b →→→ 1 is the [coefficient]

Therefore, 14, 8, and 1 are coefficients.

d. Three of the terms are like terms [tex]\boxed{TRUE}[/tex]

- 14b →→→ b is the [variable]

- -7 →→→ is a [constant]

- 8b →→→ b is the [variable]

- b →→→ b is the [variable]

Since 14b, 8b, and b share the common variable, there are three like terms.

Hope this helps!! :)

Please let me know if you have any questions

Hi ;-)

[tex]3\cdot\boxed9=9\cdot3[/tex]

Answer:

3 × 9 = 9 × 3

Step-by-step explanation:

Answer:

Answer is 41.4 ft

Step-by-step explanation:

formula for triangle is 1/2 base x height

1/2x4.6x18

=4.6x9

=41.4

so the area = 41.4 ft

Answer:

hi,

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}a&=&3*\vec{i}-4\vec{j}\\b&=&2*\vec{i}-5\vec{j}\\c&=&\lambda*\vec{i}+\mu*\vec{j}\\\end{array}\right.\\\\\\\lambda*c=2a+3b\\=2*(3*\vec{i}-4\vec{j})+3*(2*\vec{i}-5\vec{j})\\=12*\vec{i}-23\vec{j}\\=\lambda*(\lambda*\vec{i}+\mu*\vec{j})\\\\\\\left\{\begin{array}{ccc}\lambda^2&=&12\\\lambda*\mu&=&-23\end{array}\right.\\\\\\\left\{\begin{array}{ccc}\lambda&=&2\sqrt{3}\\\mu&=&\dfrac{-23*\sqrt{3} }{6} \\\end{array}\right.\\[/tex]

Answer:

31 Minutes

Step-by-step explanation:

4.78 = 0.15 + 0.58

0.15m = 4.78 - 0.58

m = 4.78 - 0.58 divided by 0.15 = 28 minutes

So in total we have 28 + 3 = 31 minutes

Answer:

8) her hair was 8 inches long

Answer:

quadrilateral has 4 sides

so 104°+40°+110°+x=360°

254°+x=360°

collect like terms

x=360-254

x= 106

;- x=106

which is (c)

Answer:

x = 106°

Step-by-step explanation:

Using the angle marked 110° as my starting point,

One can use angles on a straight line sum up to 180° to find the angle that adds up to 110° which makes it 180,

thus 70°.

moving on,

tackling with the angle marked 40°, Using the fact that angles on a straight line sum up to 180°, the angle obtained will be 140° (40° + a = 180, a = 180° -40°, a = 140°)

Using the angle marked 104°, Just like the previous one Using the principle that angles on a straight line sums up to 180°, then the unknown angle will be 76°.

Finding all the other interior angles angles in the quadrilateral except the angle in line with the x,

the next step to take is to add up all the angles Using any variable and equate it to 360°

why? angles in this type of quadrilateral equals 360,

That is,

140° + 76° + 70° + y = 360

286 + y= 360

y = 360 - 286

y = 74

The final step now is to use the principle, ( angles on a straight line sums up to 180)

74° + x = 180

x = 180 - 74

x = 106°

Answer:

[tex] \frac{ {12}^{8} }{ {12}^{4} } \\ = \frac{ {12}^{4} \times {12}^{4} }{ {12}^{4} } \\ = {12}^{4} =20736 \\ thank \: you[/tex]

Here's the solution :

[tex] \hookrightarrow \dfrac{12 {}^{8} }{ {12}^{4} } [/tex]

[tex] \hookrightarrow 12 {}^{8} \times {12}^{ - 4} [/tex]

[tex] \hookrightarrow12 {}^{4} [/tex]