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Answer:

Step-by-step explanation:

1d

2a

3b

4c

The distributive property states that performing an operation on a sum or difference (either multiplication or division) is equivalent to performing that operation on each addend separately and then summing or subtracting the results. As an example, the statement 2*(3 + 4) can be rewritten as (2*3) + (2*4) to demonstrate the application of the distributive property.

The distributive property in mathematics states that the multiplication of a number by a sum is equivalent to the sum after each addend has been multiplied by that number individually. For example, if we had the expression 2*(3 + 4), using the distributive property, we could rewrite it as (2*3) + (2*4) which is 6 + 8, and both expressions equal to 14 (because 2*(3 + 4)=2*7=14).

So to match equivalent expressions using the distributive property, you would have to identify expressions that follow this rule. For example:

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Answer:

[tex]x=36\°\\\angle P=71 \°,\angle N=73 \°,\angle M=36 \°[/tex]

Step-by-step explanation:

Given:

The triangle is shown below.

We know that the sum of all interior angles of a triangle is equal to 180°.

Therefore,

[tex]\angle M+\angle N+\angle P=180 \°\\\\x+2x+1+2x-1=180\°\\\\5x=180\°\\\\x=\frac{180}{5}\\\\x=36\°[/tex]

Now, plugging the value of 'x' in each angle measure and determining its values. We get:

[tex]\angle M=x=36\°\\\angle P=2x-1=2(36)-1=72-1=71\°\\\angle N=2x+1=2(36)+1=72+1=73\°[/tex]

Therefore, the value of 'x' is 36° and the measure of the three angles are 36°, 71° and 73°.

Answer:

24% could be going to school by walking

Step-by-step explanation:

By adding the given percentages of students traveling by car, bus, and bike, and subtracting from 100%, we find that 24% of students use other methods to travel to school.

To find the other method of traveling to school not mentioned among car, bus, and bicycle, we first need to add up the provided percentages for these modes of transportation: 20% (car) + 48% (bus) + 8% (bike) = 76%. Since all the percentages must add up to 100%, we subtract the sum of these percentages from 100% to determine the remaining percentage. Therefore, 100% - 76% = 24%. So, 24% of students travel to school by other methods that are not specified (walking, skateboarding, etc.).

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Answer:

n=66

Step-by-step explanation:

5/6n=72-17

5/6n=55

n=55/(5/6)

n=(55/1)(6/5)

n=(11*6)/1

n=66/1

n=66

Answer:

66

Step-by-step explanation:

Answer:

-1.28

Step-by-step explanation:

1=ln(x+4)

ln(x+4)=1

e^ln(x+4)=e^1

x+4=e

x=e-4=-1.28

Answer:

1.5

Step-by-step explanation:

The average number of locations chosen per potential customer in the coffee company's survey was 1.5.

To calculate the average number of locations chosen per potential customer, we need to know the total number of preferences selected by all 40 potential customers. The numbers given for each location are: 20 for grocery stores, 16 for drugstores, 14 for health food stores, and 10 for big box stores.

Adding these together gives a total of 60 preferences for the four locations (20+16+14+10). This total is then divided by the 40 potential customers to produce the average. Therefore, the average number of locations chosen per potential customer is 1.5 (60 ÷ 40 = 1.5).

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Answer: 1,500

Step-by-step explanation:

500 times 300 is 150,000

Divide the product by 100 is 1,500

Answer:

3

Step-by-step explanation:

She has enough money to buy 3 tubes which leaves with $3 for whatever else she desires

Answer:

6[tex]\sqrt{5}[/tex]

Step-by-step explanation:

We can factorize 180 to get 2^2*3^2*5.

We know that 2^2 and 3^2 are squares so we can remove them from under the radical.

So, the simplified square root would be 6[tex]\sqrt{5}[/tex]

To remove perfect squares inside a square root, we simplify the number using prime factorisation. In this case, √180 simplifies to 6√5.

The given value is √180. To simplify it or remove perfect squares, we have to find the prime factors of the number under the square root. We can write 180 as 2 * 2 * 3 * 3 * 5. In square root simplifications, we usually group the factors into pairs, because a pair of same factors gives one factor outside the square root. Here, 2 * 2 becomes 2 and 3 * 3 becomes 3. There is an extra 5 inside the square root that cannot come out because it doesn't have a pair. Hence, √180 simplifies to 6√5.

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Answer:

D. If 20$ a trip charge is added, the new x-intercept will be (20,0)

This statement is false. The original graph started at (0,0), the x-intercept. Adding a 20$ trip charge moves the graph up 20 so there would not be an x-intercept.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

437584.68

Step-by-step explanation:

Answer:

Step-by-step explanation:

437584.7

Answer:

By SAS rule

Step-by-step explanation:

Required to Prove

ABC is congruent to DEC

Given

C is midpoint of AD and BE

As C is the midpoint of both line segments

AC=CD

BC=CE

and ∠ACB=∠DCE(Vertically opposite angles)

⇒By SAS(side-AC and DC, angle-∠ACB,∠DCE,side-BC and EC) congruency rule

triangle ABC is congruent to triangle DEC

Answer:

First Number = 9

Second Number = -4

Step-by-step explanation:

Let the first number be "x" and the 2nd number be "y"

First number PLUS twice 2nd is 1, so we can write:

x + 2 y = 1

Twice First number PLUS the 2nd number is 14, so we can write:

2x + y = 14

We can write:

y = 14 - 2x

We put this into 1st equation and solve for x:

x + 2y = 1

x + 2(14 - 2x) = 1

x + 28 - 4x = 1

-3x = -27

x = 9

And now y:

y = 14 - 2(x)

y = 14 -2(9)

y = 14 - 18

y = -4

First Number = 9

Second Number = -4

Answer:

A standard deck contains 52 cards with 4 suits and hence 4 tens. The probability of being dealt 3 tens is thus 4/52 x 3/51 x 2/50. The denominator decreases as one card is removed from the deck each time. If the removed card is replaced, there would be no need for the decrease in the denominator.

Step-by-step explanation:

Answer:

The cost of one hamburger is $3.95.

Step-by-step explanation:

15.80/4=3.95

Answer:

$ 3.95

Step-by-step explanation:

it is 3.95 because you divide 15.80 by 4

The value of b is: 4

Step-by-step explanation:

The given polygon is a convex polygon with three sides. A polygon with three sides is called triangle. The sum of interior angles of a triangle is 180°

So,

[tex]Sum\ of\ Angles = 180\\(b+41)+(101)+(b+30) = 180\\b+41+101+b+30 = 180\\2b+172 = 180\\2b = 180-172\\2b = 8[/tex]

Dividing both sides by 2

[tex]\frac{2b}{2} = \frac{8}{2}\\b = 4[/tex]

Hence,

The value of b is: 4

Keywords: Polygons, Triangles

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Answer:

18 Milk Chocolates: 24 dark chocolates

Step-by-step explanation:

The total number of chocolates are 42

So you have Milk: Dark, in the ratio 3:4

You do 3+4 which = 7

You then divide the total ratio outcome by the total number

So you do, 42/7 =6

You then do 6 and put this into the ratio

So you do, 3x6 and 4x6, which = 18 and 24

To check if your answers correct add the ratio outcomes

And If you add 18 and 24 together, you should get your beginning total of 42

Answer:

Each batch of scones needed 0.67 kg of flour

Step-by-step explanation:

16.45 - 6.4 = 10.05kg (remaining)

15 batches = 10.05kg

1 batch = 0.67kg

Answer:

-11x-3y^2

Step-by-step explanation:

(8x^2-9x^2-4x)+(x^2-3y^2-7x)

-x^2-4x+x^2-3y^2-7x

-4x-7x-3y^2

-11x-3y^2

Answer:

Step-by-step explanation:

[tex](8x^2-9x^2-4x)+(x^2-3y^2-7x)\\\\=8x^2-9x^2-4x+x^2-3y^2-7x\qquad\text{combine like terms}\\\\=(8x^2-9x^2+x^2)-3y^2+(-4x-7x)\\\\=-3y^2-11x[/tex]

Answer:

2(4b-1)

Step-by-step explanation:

Answer:

a: x=-2, x=-1

c:x=-2.68, x=0.186

b:x=-3.6, x=1.6

d:x=-11, x=-3

Answer:

(B) π/12 + π/6 k

Step-by-step explanation:

Points of inflection are where f"(x) = 0 and changes signs.

f(x) = cos²(3x)

f(x) = (cos(3x))²

f'(x) = 2 (cos(3x))¹ × -sin(3x) × 3

f'(x) = -6 sin(3x) cos(3x)

Using double angle formula:

f'(x) = -3 sin(6x)

f"(x) = -3 cos(6x) × 6

f"(x) = -18 cos(6x)

0 = -18 cos(6x)

0 = cos(6x)

6x = π/2 + 2πk or 6x = 3π/2 + 2πk

We can simplify this to:

6x = π/2 + πk

x = π/12 + π/6 k

The domain of a function is the set of all possible input values for the function. Reflecting a graph over the x-axis does not change the domain of the function.

The domain of a function is the set of all possible input values for the function. When a graph is reflected over the x-axis, the y-values are negated. In this case, since the graph is a horizontal line, the y-values remain the same after reflection. Therefore, reflecting the graph over the x-axis does not change the domain of the function. The domain will still be the same set of real numbers that satisfy the given condition, which is 0 ≤ x ≤ 20.

When a function is reflected over the x-axis, the domain remains the same and the sign of each value in the range is negated.

When a function f(x) is reflected over the x-axis to form -f(x), it affects both the domain and the range. Let's break it down step by step:

Original Function: f(x)

Domain: The set of all possible input values for x in the function f(x).

Range: The set of all possible output values for f(x).

Reflected Function: -f(x)

Reflected Domain: The domain remains the same because reflecting over the x-axis does not change the x-coordinates. So, the reflected domain is the same as the original domain.

Reflected Range: The range is affected by the reflection. All the positive values in the original range become negative, and all the negative values become positive. If the original function had points (a, b), the reflected function will have points (a, -b). This essentially flips the original range values.

In summary:

Reflected Domain: Same as the original domain.

Reflected Range: The sign of each value in the original range is negated. For example, if the original function had a point (2, 3), the reflected function would have a point (2, -3).

The complete question is :

how does the reflection over the x-axis (-f(x)) affect the domain and range

Answer:

the answer is b

Answer:

Sadie took 47 minutes to finish her test.

Step-by-step explanation:

Let Laura's time be x minutes.

Then we have:

x + 3x - 16 = 68

4x = 84

x = 21 minutes.

So Sadie took 3(21) - 16 = 63-16

= 47 minutes.

Answer:

2 tomato plants will left with Clara.

Step-by-step explanation:

Length of the garden = l = 7 feet

Width of the garden = w = 4 feet

Area of the garden = l × w

Area occupied by single tomato plant =

Number of tomato plants in the garden :

tomato plants

Number of tomato Clara has is 30

Number plants leftover with Clara = 30 - 28 = 2

2 tomato plants will left with Clara.

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Step-by-step explanation:

Answer:

34 bags

Step-by-step explanation:

Area =L*W

20*15 = 300 square feet

She needs to plant 300 bulbs

300/9 = 33.33333(33(1/3) bags

Since she need to purchase bags containing 9 bulbs each, she needs to buy 34 bags (It ill be 6 left since 34 bags =306 bulbs)

If she buys 33 bags  it will be only 297 (3 short)

Answer:

There are 26 glass bears in each group and there are 2 equal groups.

Step-by-step explanation:

i hope that help but your problem was kind of werid at first but i foud the answer i hope you enjoy!!!...

Selection of the digits, In accordance with the rules results to

671

What is place value

Place value is the value of a digit based on its position within a numeral, especially in the base-10 (decimal) number system.

Each digit in a number has a place value, and the position of the digit determines its contribution to the overall value of the number.

The digit in the hundreds place (6) comes first. Next is the tens digit (7) then lastly the ones digit (1)

This results to 671

Answer:

Step-by-step explanation:

[tex](f+g)(x)=f(x)+g(x)\\\\\text{Substitute}\ f(x)=-3x-5\ \text{and}\ g(x)=4x-2:\\\\(f+g)(x)=(-3x-5)+(4x-2)\qquad\text{combine like terms}\\\\(f+g)(x)=(-3x+4x)+(-5-2)\\\\(f+g)(x)=x-7[/tex]

Answer: $14

Step-by-step explanation: To find out the price per dozen, we first need to understand that the word "dozen" means a grouping of 12. This means that 1/2 a dozen would be half of 12 which is 6.

If we double 6 to 12, we multiply by 2. We will also multiply by 2 for the price so we have 7 × 2 which simplifies to 14.

Therefore, Lola will charge $14 for her cupcakes.

I also provided an image to show the 1/2 dozen and dozen cupcakes.