Abigail volunteers as a gift wrapper at a children's bookstore during the holiday season. She can gift wrap a book in 3.5 minutes. Let t be the total number of books she wraps, and let m be the total minutes she spends wrapping. The equation m=3.5t represents this situation. Graph the equation.

Answer:

152°

Step-by-step explanation:

Supplementary angles are two angles that sum to 180°

Complementary angles are two angles that sum to 90°

Let x° = the angle

⇒ Supplement of the angle = 180° - x°

⇒ Complement of the angle = 90° - x°

The difference between the supplement of an angle and twice its complement is 28°:

⇒ (180 - x)°  - 2(90 - x)° = 28°

⇒ 180 °- x° - 180° + 2x° = 28°

⇒ x = 28°

Therefore, the measure of the supplement of 28° is:

180° - 28° = 152°

Answer:

Below.

Step-by-step explanation:

There are 2 outliers:

234, 880.

All the other values range from 485 to  510.

Answer:

45/28

Step-by-step explanation:

6/7+3/4

The least common multiple of 7 and 4 is 28.

Convert 6/7 and 3/4 to fractions with the denominator of 28

24/28+21/28

Since the denominators are now the same, add the numorators to get 45/28

Step-by-step explanation:

hope this helps, you can ask any questions for clarification

The solution set 0 and 8 are the true values of the absolute value equation

The absolute value equation that has the a solution set of 0 and 6 is |x - 3| = 3

From the figure, the solution sets of the absolute value equation are given as:

x = {0, 6}

Calculate the mean of the solution set

Mean = 0.5 * (0 + 6)

Mean = 3

Calculate the difference of the solution set divided by 2

Difference = (6 - 0)/2

Difference = 3

The absolute value equation is the represented as:

|x - Mean| = Difference

Substitute known values

|x - 3| = 3

Hence, the absolute value equation that has the a solution set of 0 and 6 is |x - 3| = 3

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Answer:

|x-3|=3

Step-by-step explanation:

The number of lines and triangles illustrates combination

The given parameters are:

Total points, n = 9

Total points on each line, r = 2

The number of lines that can be drawn is then calculated  using the following combination formula

Lines = nCr

This gives

Lines = 9C2

Evaluate the combination expression

Lines = 36

Hence, 36 lines can be drawn to join the nine points

The given parameters are:

Total points, n = 9

Total points on each triangle, r = 3

The number of triangles that can be drawn is then calculated  using the following combination formula

Triangles = nCr

This gives

Triangles = 9C3

Evaluate the combination expression

Triangles = 84

Hence, 84 triangles can be drawn using the nine points

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The inequality in the total amount of purchase is the greater than inequality

The inequality to find the additional amounts x you can spend to get free delivery is 24.00 + x > y

The given parameters are:

Small pizza = $4.50

Salad = $3.75

The cost of two small pizzas and four salads is:

Total = 2 * 4.50 + 4* 3.75

Evaluate

Total = 24.00

Let the amount to get free delivery be y.

So, the inequality would be:

24.00 + x > y

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Answer: x=2

Step-by-step explanation:

9(x+7)+5=86

Step 1: Simplify both sides of the equation.

9(x+7)+5=86

(9)(x)+(9)(7)+5     (Distribute)

9x+63+5=86

(9x)+(63+5)=86      (Combine Like Terms)

9x+68=86

Step 2: Subtract 68 from both sides.

9x+68−68=86−68

9x=18

Step 3: Divide both sides by 9.

[tex]\frac{9x}{9} =\frac{18}{9}[/tex]

x=2

Answer:

[tex]\log(24)[/tex]

Step-by-step explanation:

[tex]\log(8)+\log(3)=\log(8*3)=\log(24)[/tex]

Answer :

16

Explanation :

You arrange the numbers from least to greatest. 7,11,15,15,16,18,19,20,21 After you do that you will find the numbers that are in the center and that will be your median.

Answer:

Washer is $676

Dryer is $338

Step-by-step explanation:

1014 divide by 3 gives you 338.

338 x 2 = $676

676 is twice 338.

676 + 338 = 1014

Answer:

[tex] \frac{1}{64 {a}^{2} } [/tex]

Step-by-step explanation:

[tex](8 {a}^{ - 3} {)}^{ \frac{ - 2}{3} } [/tex]

[tex](8 a {)}^{ - 2} [/tex]

[tex] \frac{1}{ {8}^{2} {a}^{2} } [/tex]

[tex] \frac{1}{64 {a}^{2} } [/tex]

Answer:

  (a)  (x -6, y -2)

Step-by-step explanation:

You seem to want to see the inverse of the translation T, applied twice. Your notation seems to mean ...

  For T = (x, y) +(a, b)

  T⁻¹ = (x, y) -(a, b)   ⇒   T⁻² = (x, y) -2(a, b)

__

Your given transformation is ...

  T = (x, y) +(3, 1)

which means ...

  T⁻² = (x, y) -2(a, b) = (x, y) -2(3, 1)

  T ⁻² = (x -6, y -2)

Answer:

[tex]\sf 4.9 \times 10^{11}[/tex]

Step-by-step explanation:

Given expression: [tex]\sf (7 \times 10^5)^2[/tex]

Apply exponent rule [tex]\sf (ab)^2=a^2 \cdot b^2[/tex] :

[tex]\sf \implies 7^2 \times (10^5)^2[/tex]

[tex]\sf \implies 49 \times (10^5)^2[/tex]

Apply exponent rule  [tex]\sf (a^b)^c=a^{bc}[/tex] :

[tex]\sf \implies 49 \times 10^{5 \cdot 2}[/tex]

[tex]\sf \implies 49 \times 10^{10}[/tex]

Scientific notation:  [tex]\sf a \times 10^n[/tex]

where  [tex]\sf 1\leq a < 10[/tex] and n is an integer

We can write 49 as [tex]\sf 4.9 \times 10=4.9 \times 10^1[/tex]

[tex]\sf \implies 4.9 \times 10^1\times 10^{10}[/tex]

Apply exponent rule [tex]\sf a^ba^c=a^{b+c}[/tex]

[tex]\sf \implies 4.9 \times 10^{11}[/tex]

Answer:

Sorry if I did wrong..I tried my best

Step-by-step explanation:

-3×3+4×-3×2

-9-12×2

-21×2

-42 ans

Answer:

B.

Step-by-step explanation:

After looking at the graph you see the coordinates in the table are equal to the coordinates on the graph

Answer: ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

-3√2

4(8-x)=8

8-x=8/4

8-x=2

-x= 2-8

-x= -6

x=6

-> c

Answer:

a) meters

b) liters

c) kilograms

Step-by-step explanation:

Hope it helps you in your learning process.

Answer:

The last graph

Step-by-step explanation:

We are given two tips for finding our graph, it has a max point and the point of the line is x = 3. Meaning that this graph must open down and should not go anything further than 3 on the y graph.

The only one that fits this proposition is the last graph. Making it correct.

Answer:

see below

Step-by-step explanation:

To have a maximum, the parabola must be pointing down.

For the maximum to be at x=3, the vertex must have an x value at 3 and the line of symmetry must be 3

Answer:

See below ↓↓

Step-by-step explanation:

1. c║d

3. a║b

5. c║d

7. a║b

2. CACP

4. AICP

6. CACP

8. SSIASP

Answer:

a)   c ║ d    CACP

b)   a ║ b    AICP

c)   c ║ d    CACP

d)   a ║ b    SSIASP

Step-by-step explanation:

CACP - Corresponding Angles Congruent postulate

When two parallel lines are cut by a transversal, the pairs of corresponding angles (in the same relative position on different intersections) are congruent.

AICP - Alternate Angles Congruent postulate

When two parallel lines are cut by a transversal, the resulting alternate interior angles (opposite sides of the transversal line) are congruent .

SSIAS - Same Side Interior Angles Supplementary theorem

When two parallel lines are cut by a transversal, the resulting pairs of consecutive interior angles formed are supplementary (sum to 180°).

a)   c ║ d    CACP

The tranversal is line b

b)   a ║ b    AICP

The tranversal is line d

c)   c ║ d    CACP

The tranversal is line a

d)   a ║ b    SSIASP

The tranversal is line c

Answer:

8 packages

Step-by-step explanation:

First, let's subtract.

#1) Remove the cost of the notebook.

#2) Remove the amount that needs to be saved.

#3) Make the inequality.

Answer:

B

Step-by-step explanation:

Looks like the claim is

(2 tan(x) - sin(2x)) / (2 sin²(x)) = tan(x)

Recall the double angle identity for sine:

sin(2x) = 2 sin(x) cos(x)

as well as the definition of tangent:

tan(x) = sin(x) / cos(x)

Then on the left side, we can cancel factors of 2 sin(x) to get

(2 sin(x) / cos(x) - 2 sin(x) cos(x)) / (2 sin²(x))

= (1/cos(x) - cos(x)) / sin(x)

Multiply this by cos(x)/cos(x) :

(1/cos(x) - cos(x)) / sin(x) = (1 - cos²(x)) / (sin(x) cos(x))

Recall that for all x,

sin²(x) + cos²(x) = 1

so that

(1 - cos²(x)) / (sin(x) cos(x)) = sin²(x) / (sin(x) cos(x))

= sin(x) / cos(x)

= tan(x)

as required.

Answer:

less than cause 4 is before 24

Answer:

  b.  1.2599

Step-by-step explanation:

The ratio of the two frequencies is found by dividing the first by the second.

__

  (Freq of E)/(Freq of C) = 329.6/261.6 = 1.2599

Step-by-step explanation:

rectangle l = 6 units

b = 3 units

area = 18 units ^ 2

parallelogram l = 6 units

b = 1 unit

area = 6 unit ^2

total area = 24 units ^2

The best unit of measurement for Alex to use for the ropes he is going to use at camp would be centimeters because it is a measurement that fits the needs of his knot shop.

A unit of measure is a unit that is used as a reference and international standard on length, weight, height, among others.

In the case of length, there are several units of measurement such as:

For a knot-making workshop in a camp, the ideal would be to have a rope of at least 2 or 3 meters. However, the ideal unit of measurement for teaching about knots is centimeters because knots do not require a large amount of rope to tie.

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