2. O

Mia buys ink at the office supply store for a business.

She buys 3 printer cartridges, and the sales tax is 7%. Write an expression

to represent the total cost of ink supplies in two different ways.

Step-by-step explanation:

Area of triangle=1/2×base×Height

105=1/2×15×h

210=15×h

h=14inches

Answer: y=2x+4

You first find slope which is y2-y1 divided by x2-x1 that gives you slope and then you put it into the formula y-y1=m(x-x1)

Answer:

None of these expressions are in simplified form.

Step-by-step explanation: So basically simplified form is that an equation/expression is till you cant combine any like terms. Liked terms are like 4 and 5 or 2x and 3x.

Number 1_ 2.7x-8.2.

Number 2_ 4.3w. Is the 03 a 3 or 0.3?

Number 3_ 58.

Number 4_ t-5. Is the 02t a 2t or 0.2t?

I hope this helps and please let me know about the questions on Number 2 and 4 that I asked about in the explanation below in the comments. Thanks!

Answer:b

Step-by-step explanation: you take the c of

The correct proportion that can be used to find x is 8 / 24 = 12 / x

The corresponding sides of the figures are taken into consideration.

The base of the smaller trapezium 12 ft correspond to the base of the bigger trapezium x ft. Therefore the ratio can be established as

The other leg of the smaller trapezium 8 ft correspond to the other leg of the bigger trapezium 24 ft. Therefore, the ratio can be establish as

The ratio must be equal to each other to prove the similarity . Therefore,

The correct proportion that can be used to find x is 12 / x = 8 / 24

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Answer:

A) 55 + x ≤ 100

B) 55 + x ≤ 70

Step-by-step explanation:

A Explanation - Inequalities use signs < , > , ≤ , and ≥. We also know you have 100 seconds to beat the level, so you have to solve it in 100 or less, which tells us the 55 + the time left (x) must be less than or equal to 100. Solved will be attached.

B Explaination -

Like A, you can use the same setup, but switching a value. You already have the 55, you need 70. Or less points to ≤, same as before, so you can keep it the same, except with the 70 instead of the 100. Solved attached.

Answer:

f(2.5)=3.5

Step-by-step explanation:

f(x)=2×2-3x+7

So,

f(2.5)=2×2-3×2.5+7

=4-7.5+7

=11-7.5

=3.5

Hope it will help you

Answer:

5

y

−

2.5

z

−

8

Step-by-step explanation:

−

6

z

−

5.5

+

3.5

z

+

5

y

−

2.5

Add  

−

6

z

and  

3.5

z

.

−

2.5

z

−

5.5

+

5

y

−

2.5

Answer:

− 25z+5y−8

Step-by-step explanation:

DIFFERENTIATE W.R.T. Z

−2.5

Answer:

[tex] a_2 =\frac{1}{2}\\\\

a_3 =2\\\\

a_2 =\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]a_1 = 2......(given)\\\\

a_n =\frac{1}{a_{n-1}}\\\\

Plug\: n = 2\\

a_2 =\frac{1}{a_{2-1}}=\frac{1}{a_1}=\frac{1}{2}\\\\

Plug\: n = 3\\

a_3 =\frac{1}{a_{3-1}}=\frac{1}{a_2}=\frac{1}{\frac{1}{2}}=2\\\\

Plug\: n = 4\\

a_4 =\frac{1}{a_{4-1}}=\frac{1}{a_3}=\frac{1}{2}\\\\[/tex]

Answer:

7 inches

Step-by-step explanation:

Answer:

Wait u don’t understand what is there supposed to be a pick or something?

Step-by-step explanation:

Answer:

x² - 12x + 36

Step-by-step explanation:

Given

(x - 6)² = (x - 6)(x - 6)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x - 6) - 6(x - 6) ← distribute both parenthesis

= x² - 6x - 6x + 36 ← collect like terms

= x² - 12x + 36

Answer:

75%

Step-by-step explanation:

63/84 = .75

.75= 75%

Answer:

(x + 8) × 4 = 21 × 4

Explanation:

x + 8 = 21

21 - 8 = 13

(13 + 8) × 4 = 21 × 4

21 × 4 = 21 × 4

84 = 21 × 4

84 = 84

Answer:

[tex]7 < k < 13[/tex]

[tex]-6>y>-12[/tex]

[tex]m > 5[/tex]

[tex]3 < p < \frac{15}{2}[/tex]

Step-by-step explanation:

Given

[tex]5 < k -2 < 11[/tex]

[tex]-4 > y + 2 > -10[/tex]

[tex]5 -m < 4\ or\ 7m > 35[/tex]

[tex]3 < 2p -3 < 12[/tex]

Required

Solve

Solving (1):

[tex]5 < k -2 < 11[/tex]

The above can be represented as:

[tex]5<k -2[/tex] and [tex]k -2<11[/tex]

Solving [tex]5<k -2[/tex]

[tex]5 + 2 <k[/tex]

[tex]7<k[/tex]

Solving [tex]k -2<11[/tex]

[tex]k < 2 + 11[/tex]

[tex]k < 13[/tex]

So, we have:

[tex]7<k[/tex] and [tex]k < 13[/tex]

This can be combined as:

[tex]7 < k < 13[/tex]

Solving (2):

[tex]-4 > y + 2 > -10[/tex]

Split as:

[tex]-4 > y + 2[/tex] and [tex]y + 2 > -10[/tex]

Solving [tex]-4 > y + 2[/tex]

[tex]-4 - 2 > y[/tex]

[tex]-6 > y[/tex]

Solving [tex]y + 2 > -10[/tex]

[tex]y > -10 - 2[/tex]

[tex]y > -12[/tex]

So, we have:

[tex]-6 > y[/tex] and [tex]y > -12[/tex]

This gives

[tex]-6>y>-12[/tex]

Solving (3):

[tex]5 -m < 4\ or\ 7m > 35[/tex]

Solve for m in both cases:

[tex]5 - m < 4[/tex]

[tex]-m<4 - 5[/tex]

[tex]-m<- 1[/tex]

[tex]m > 1[/tex]

[tex]7m > 35[/tex]

Divide both sides by 5

[tex]m > 5[/tex]

So, we have:

[tex]m > 1[/tex] or [tex]m > 5[/tex]

The solution is [tex]m > 5[/tex] because [tex]5> 1[/tex]

Solving (4):

[tex]3 < 2p -3 < 12[/tex]

The above can be represented as:

[tex]3 < 2p - 3[/tex] and [tex]2p - 3<12[/tex]

Solving [tex]3 < 2p - 3[/tex]

Add 3 to both sides

[tex]3 + 3 < 2p - 3 + 3[/tex]

[tex]6 < 2p[/tex]

Divide both sids by 2

[tex]3 < p[/tex]

[tex]2p - 3<12[/tex]

Add 3 to both sides

[tex]2p - 3 + 3 < 12 + 3[/tex]

[tex]2p < 12 + 3[/tex]

[tex]2p < 15[/tex]

Solve for p

[tex]p < \frac{15}{2}[/tex]

So, we have:

[tex]3 < p[/tex] and [tex]p < \frac{15}{2}[/tex]

Combined as:

[tex]3 < p < \frac{15}{2}[/tex]

Answer:

[tex]k = 4[/tex]

Step-by-step explanation:

Given

[tex]4x^2 - 8x + k[/tex]

Required

Determine k if the expression is a perfect square

A quadratic is of the form;

[tex]ax^2 + bx + c[/tex]

Where (by comparison):

[tex]a = 4[/tex]     [tex]b = 8[/tex]     [tex]c = k[/tex]

If the above is a perfect square, then

[tex]k = \frac{b^2}{4a}[/tex]

Substitute values for a, b and c

[tex]k = \frac{8^2}{4*4}[/tex]

[tex]k = \frac{64}{16}[/tex]

[tex]k = 4[/tex]

Hence, k = 4

y =3

After you set each equation to terms where you can cancel out the x

you are left with:

14y = 42

y = 3

** sorry

Answer:

22 cm

Step-by-step explanation:

Answer:

the product does not exits

The product matrix is,

[tex]\left[\begin{array}{ccc}-10&-4\\13&-5\\\end{array}\right][/tex]

In mathematics, a matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object.

For example, is a matrix with two rows and three columns.

here, we have,

two matrices,

A = 2×3

and, B= 3×2,

as the no. of column of A = the no. of row of B

the can be a product matrix of order 2×2.

Now, we get,

the product matrix is,

[tex]\left[\begin{array}{ccc}-10&-4\\13&-5\\\end{array}\right][/tex]

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Area of the figure

= (area of rectangle) + (area of triangle)

= (8 × 10) + (½ × 4 × 8)

= 80 + 16

= 96

Area = 96ft²

Quarts of paint needed

= 96/22

= 48/11

= 4.36

Mr. Chen will have to buy 5 quarts of paint.

Answer:

1.5 cookies if 2/8 is like 2 cookies out of 8, 1/16 if its like 2/8 of a cookie

Step-by-step explanation: \

1.5: 2 x 3/4 (already ate 1/4) = 1.5

1/16= 1/4 (2/8 reduced)  x 1/4

I need points lol ,, i hope you find your answer i guess .

Answer:

YZ is located at Y (0, 1) and Z (-2, 1) and is one-third the size of Y'Z'.

Step-by-step explanation:

Since Y'Z' was dilated from the origin at a scale factor of 3, you can divide its X and Y coordinates by 3 to find the coordinates of YZ.

The statement fourth "segment YZ is located at Y (0, 1) and Z (−2, 1) and is one-third the size of segment Y prime Z prime" is correct.

The transformation dilation is used to resize an item. Dilation is a technique for making items appear larger or smaller. The image created by this transformation is identical to the original shape.

The question is incomplete.

The complete question is:

Segment Y prime Z prime has endpoints located at Y'(0, 3) and Z'(−6, 3). segment YZ was dilated at a scale factor of 3 from the origin. Which statement describes the pre-image?

As we know, in the dilation image of the two-dimensional figure can be larger or smaller depending on the dilation factor.

We have:
segment Y prime Z prime has endpoints located at Y'(0, 3) and Z'(−6, 3).

After dilation:

Y (0, 1) and Z (−2, 1)

Thus, the statement fourth "segment YZ is located at Y (0, 1) and Z (−2, 1) and is one-third the size of segment Y prime Z prime" is correct.

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Answer:

b bbb bbhdixbxidndidjd

Answer:

D none of the above becuz x=4

Answer:

D

Step-by-step explanation:

Answer:

Step-by-step explanation:

2x - 5 = 15

Bringing like terms on one side

2x = 15 + 5

2x = 20

Option B is the correct answer

Answer:

b) 2x = 20

c) 2(x - 5) = 15

D) 2x - 20 = 0

Explanation

2x - 5 = 15

2x = 15 + 5

2x = 20

x= 20/2

x= 10

a) 2x = 10

x= 10/2

x= 5 (which is not correct)

b) 2x = 20

x= 20/2

x = 10 (which is correct )

c) 2(x- 5) = 15

2x - 10 = 15.

2x = 15 +10

2x = 20

x = 20/2

x= 10 ( which is correct)

d) 2x - 20 = 0

2x = 20

x= 20/2

x= 10 ( which is correct)

Answer:

28

Step-by-step explanation:

Substitute x = - 2 into the expression, that is

(- 2)² - 7(- 2) + 10 = 4 + 14 + 10 = 28