Mackenzi is buying school supplies. She needs to buy 30 writing utensils so that she doesn't run out during the year
but only has $20.90 saved up. If pencils are $0.35 and pens are $0.95 at the school store, how many of each could
she get if she spent all of her savings?
х
Answer the following questions. Round your answers to the nearest whole numbers.
How many pencils can she buy?
How many can she buy?
*Help ASAP please!*

Answer:

Option D: [tex]y= -\frac34x+14[/tex]

Step-by-step explanation:

In order for two lines to be perpendicular, the product of the slopes has to be [tex]-1[/tex]. That allows you to rule out A and C. Let's plug the coordinate of the point in B. If the equality holds, we found or line. Else, it's D.

[tex]11 =-\frac34(4) +8 \rightarrow 11 = -3+8 \rightarrow 11=5[/tex] Which is obviously impossible. Our line has to be D

Translation of 10 units left and 8 units down

================================================

Explanation:

Always start with the preimage. Let's say we focus on point A located at (3,6). Its corresponding point is A' located at (-7,-2). To go from (3,6) to (-7,-2), we move 10 units to the left and 8 units down.

The motion "10 units to the left" means we subtract 10 from the x coordinate. The "8 units down" part means we subtract 8 from the y coordinate.

Overall, the translation rule is [tex](x,y) \to (x-10,y-8)[/tex]

If we applied that rule to A(3,6), then...

[tex](x,y) \to (x-10,y-8)\\\\(3,6) \to (3-10,6-8)\\\\(3,6) \to (-7,-2)\\\\[/tex]

which is what the diagram shows going from A to A'

Let's do the same for point B(3,1)

[tex](x,y) \to (x-10,y-8)\\\\(3,1) \to (3-10,1-8)\\\\(3,1) \to (-7,-7)\\\\[/tex]

This indicates B(3,1) moves to B ' (-7,-7) which is what the diagram shows. I'll let you confirm that C(6,6) moves to C ' (-4,-2) using that translation rule.

a.

The y-coordinate of the vector with its terminal point in the second quadrant is 6.

The magnitude of the vector, r = √(x² + y²) where x = x-coorcinate of vector = -5 and y = y-coordinate of vector.

Since r = √61 and r = √(x² + y²)

Making y subject of the formula, we have

y = √(r² - x²)  

Substituting the values of the variables into the equation, we have

y = √((√61)² - (-5)²)  

y = √(61 - 25)  

y = ±√36

y = ±6

Since r is in the second quadrant, its y-coordinate is positive.

So, y = 6

So, the y-coordinate of the vector with its terminal point in the second quadrant is 6.

b.

The direction angle of the vector with its terminal point in the second quadrant is 130°

The direction angle of the vector is gotten from tanФ = y/x

Subsstituting x and y into the equation, we have

tanФ = y/x

tanФ = 6/-5

tanФ = -1.2

tan(180° - Ф) = 1.2

Taking inverse tan of both sides, we have

180° - Ф = tan⁻¹(1.2)

180° - Ф = 50.2°

Ф = 180° - 50.2°

Ф = 129.8°

Ф ≅ 130° to the neares whole number

The direction angle of the vector with its terminal point in the second quadrant is 130°.

Learn more about vectors here:

https://brainly.com/question/18478651

Answer:

first one is 6.0 and the second is 130

Step-by-step explanation:

Answer:

k=10x+6

Step-by-step explanation:

64 is equal to 2^6, so we just have 2^6*4^5k

4^5x is equal to 2^10x and we have 2^6*2^10x=2^k

Apply exponent multiplication rule : a^m*a^n=a^m+n

We get 2^10x+6, so 10x+6 is our answer

Answer:

what is that ............

Answer:

straight line, C

Step-by-step explanation:

The graph of a linear function is a straight line. Graphically, where the line crosses the x -axis, is called a zero, or root. Algebraically, a zero is an x value at which the function of x is equal to 0 . Linear functions can have none, one, or infinitely many zeros.

I hope this helps.

Answer:

g(4) = 8

g(6) = 12

Step-by-step explanation:

come on dude, easier than that?

Answer:

how many of a wall a galloon of paint cover?

Step-by-step explanation:

Answer:

-5 is more positive than -6. SO bigger, I think means less negative, so -5.

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

On a number scale, -5 is bigger than -6 because it is less negative than -6. You can also think about it in context: if the temperature was -5 degrees it would be warmer than -6 degrees so is therefore bigger!

Hope this helps!

Answer:3√3

Step-by-step explanation:

tanx=opp/adj

tan60=x/3

make x the subject: 3 × tan60= x

x= 3√3 or 5.196 in decimals

Answer:

hi

Step-by-step explanation:

Joshua needs to join the text in two cells together. which of the following would perform this function?

a. ="good" "morning"

b. ="good"&"morning"

c. =good "&" morning

d. ="good"&&"morning"

From the table, the average daily change in the share price from d = 5 to d = 20 is of 11.

The average rate of change of a function p(x) over an interval [a,b] is given by:

[tex]A = \frac{p(b) - p(a)}{b - a}[/tex]

In this problem, rate over the interval d = 5 to d = 20, hence [tex]a = 5, b = 20[/tex].

The values of the function are [tex]p(5) = 39, p(20) = 204[/tex].

Hence:

[tex]A = \frac{p(b) - p(a)}{b - a}[/tex]

[tex]A = \frac{204 - 39}{20 - 5}[/tex]

[tex]A = 11[/tex]

The average daily change in the share price from d = 5 to d = 20 is of 11.

A similar problem is given at https://brainly.com/question/20732437

645/2=322.5 cakes on each table

hope this helps!

Answer: Cooperative advertising

Step-by-step explanation:

Answer:

13, 14, 15 right?

Step-by-step explanation:

Answer:

it's simple it means

2×b-8=5

Answer:

b = 10.5

Step-by-step explanation:

The difference of b and 8 is b - 8 and twice this difference is

2(b - 8) = 5 ← distribute parenthesis on left side

2b - 16 = 5 ( add 16 to both sides )

2b = 21 ( divide both sides by 2 )

b = 10.5

The unknown number b is 10.5

Answer:

X = -5

Step-by-step explanation:

X-4-2=-11

X-6=-11

X=-11+6

X=-5

Hope it helped youuuuu

Answer:

X= 6

Step-by-step explanation:

Answer:

X = 6

Step-by-step explanation:

(4/x - 3) + (2/x + 2) = 0

--> Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

4+x(−3)+2+x×2=0

--> Add 4 and 2 to get 6.

6+x(−3)+x×2=0

--> Combine x(−3) and x×2 to get −x.

6−x=0

--> Subtract 6 from both sides. Anything subtracted from zero gives its negation.

−x=−6

--> Multiply both sides by −1.

Thus, the answer is X =6

Hope this helps you!

Answer:

a - 4

Step-by-step explanation:

[tex]5+2a-(9+a)\\5+2a-9-a\\a-4[/tex]

Answer:

y=5x

Step-by-step explanation:

y=ax

use any value of x and y from the table

I chose (2,10)

10=2a

10/2=a

a=5

Answer:

(Hope this helps can I pls have brainlist (crown)☺️)

Step-by-step explanation:

To find the x-intercept, substitute in  0  for  y  and solve for  x To find the y-intercept, substitute in  0 for  x and solve for  y.

Slope: [tex]m=-\frac{4}{5}[/tex]

x-intercept(s):  ( 5 , 0 )

y-intercept(s):  ( 0 , 4 )

Answer:IT IS 170

Step-by-step explanation:

Answer:

b, or 1b

Step-by-step explanation:

First of all, you have to combine like terms. In this situation though, they are all b. So start at the beginning. 8-9 is -1. -1 - 5 is -6. -6+7 is 1. So you say, b, because it is the same thing as 1 b.

Answer:

3

Step-by-step explanation:

36 ÷ (x + 9)

=> 36 ÷ (3 + 9)

=> 36 ÷ 12

=> 3

Therefore, 3 is the answer.

Answer:

13

Step-by-step explanation:

two angles are congrunet

The measurement of angle I in the given triangle HIJ is 83.5°.

Given is a triangle HIJ, where HI ≅ JH, and m ∠J = 13°, we need to find m ∠I.

Since HI ≅ JH (given) and ∠J = 13° (given), then ∠HJI ≅ ∠HIJ (by the isosceles triangle property).

In an isosceles triangle, the angles opposite the congruent sides are also congruent. Therefore, ∠HJI = ∠HIJ.

Now, let's denote ∠I as x (which is what we're trying to find). Since ∠HJI = ∠HIJ, we can set up an equation:

x + 13° + x = 180° (sum of angles in a triangle)

Solving for x:

2x + 13° = 180°

2x = 180° - 13°

2x = 167°

x = 167° / 2

x = 83.5°

So, m ∠I is 83.5°.

Learn more about isosceles triangle click;

https://brainly.com/question/28412104

#SPJ3

Complete question is given below:

In △HIJ, HI ≅ JH and m∠J = 13°. Find m ∠I.

Answer:

Great valley

Mercury

Liberty

Delta

International

Step-by-step explanation:

Liberty Express: 128.333

Mercury speed: 130

International speed: 122.666666

Delta Eagle speed: 125

Great Vally speed: 130.5

distance/time=speed

Order:

Great valley

Mercury

Liberty

Delta

International