m<3 is (3x + 4) and m<5 is (2x +11)

Angles 3 and 5 are _____
A. Alternate interior angles
B. Corresponding angles
C. Same side interior angles
D. Alternate exterior angles

The equation ___ can be used to solve for x.
A. (3x+4) + (2x+11) = 180
B. (3x+4) = (2x+11)
C. (3x+4) - (2x+11) = 180

m<5= __
A. 33
B. 77
C. 103

1) -15

2) 5

3) -13

4) -4

5) 5

6) 14

7) 0

8) -8

9) -8

10) 7

These are very easy, when subtracting a negative from a positive think of it as just plain subtraction. When adding a negative to a positive, again, think of it as subtraction. When subtracting two negatives it's basically addition but you final answer should have a negative sign.

Hope I could help! :)

Answer:

2500 + 215d

Step-by-step explanation:

Total revenue from all booths is the sum of the revenue from the food booths and from the games booths. The food booth revenue for each booth is 100 + 5d, where d is the number of days the fair lasts. There are 15 food booths, so the total revenue from them is ...

... (food booth revenue) = 15(100 +5d)

The games booth revenue for each booth is 50 + 7d, where d is the number of days the fair lasts. There are 20 games booths, so the total revenue from them is ...

... (games booth revenue) = 20(50 +7d)

Then the total revenue is

... total revenue = (food booth revenue) + (games booth revenue)

... = 15(100 +5d) + 20(50 +7d) . . . . . . use the expression for revenue from each

... = 1500 +75d + 1000 +140d . . . . . . eliminate parentheses

... = 2500 + 215d . . . . . . . . . . . . . . . . collect terms

The first one would be 1 since you're dividing and whenever you divide exponents you're supposed to subtract them. And the second one is also the first one since it's basically the work shown for how you got your first answer.

Answer:

They are left with [tex]1\frac{3}{8}[/tex] pizza to eat.

Step-by-step explanation:

Scotty and Tyler are trying to eat 6 pizzas in total.

Sotty has eaten = [tex]2\frac{3}{4}[/tex] Pizzas

Tyler has eaten = [tex]1\frac{7}{8}[/tex] Pizzas

Total pizza eaten by them = [tex]2\frac{3}{4}[/tex] Pizzas + [tex]1\frac{7}{8}[/tex] Pizzas

= [tex]\frac{11}{4}[/tex] + [tex]\frac{15}{8}[/tex]

= [tex]\frac{37}{8}[/tex]

Total pizza was eaten =  [tex]4\frac{5}{8}[/tex]

Pizza have left to eat = 6 - [tex]4\frac{5}{8}[/tex]

                                   = 6 - [tex]\frac{37}{8}[/tex]

                                   = [tex]\frac{11}{8}[/tex]

                                  =  [tex]1\frac{3}{8}[/tex]

They are left with [tex]1\frac{3}{8}[/tex] pizza to eat.

Answer:

Step-25×2=50

50×10=500by-step explanation:

I think It is C but not sure

Let x = the width

then

2x = the length

:

The box dimensions: 2x by x by 4

Given the surface area:

2(2x*x) + 2(2x*4) + 2(x*4) = 220

:

4x^2 + 16x + 8x = 220

A quadratic equation:

4x^2 + 24x - 220 = 0

simplify, divide by 4

x^2 + 6x - 55 = 0

Factor

(x+11)(x-5) = 0

The positive solution is what we want here:

x = 5 ft is the width

then

2(5) = 10 ft is the length

:

Find the volume

10 * 5 * 4 = 200 cu/ft is the volume

Final answer:

The volume of the box is 192 cubic feet, calculated using the dimensions provided in the question.

Explanation:

The volume of the box is 192 cubic feet.

To find the volume, we need to calculate the dimensions of the base rectangle. Since the base and top are twice as long as they are wide, the larger square will have sides of 8 feet. With a height of 4 feet, the volume can be calculated as V = length*width*height. Plugging in the values, we get V = 8*4*4 = 192 cubic feet.

The answer is letter A.

Answer:

A.If[tex](p\implies q)\;and \;(q\implies r)[/tex],then [tex]p\implies r[/tex].

Step-by-step explanation:

We have to find the which statement illustrate the law of syllogism.

Law of syllogism: Premise: if p then q

Premise:If q then r.

Conclusion:If p then r.

It is like transitive property of equality.

A.If[tex](p\implies q)\;and \;(q\implies r)[/tex],then [tex]p\implies r[/tex].

It is true by definition of law of syllogism.

B.If[tex](p\implies q)\;and \;(q\implies p)[/tex],then [tex]p\implies r[/tex].

It is not true by definition of syllogism.

C.If[tex](p\implies q)\;and \;(p\implies r)[/tex],then [tex]q\implies r[/tex]

It is not true by definition of syllogism.

D.If[tex]p\implies r)\;and \;(q\implies r)[/tex],then  [tex]p\implies r[/tex].

It is not true by definition of law of syllogism.

Answer:A

Yes, if it exists, and reduce our fraction by dividing both numerator and denominator by it. GCF = 11, and get our simplified answer

Answer:no

Step-by-step explanation:

¯\_(ツ)_/¯

0.85=0.85

3/5=0.60

0.15=0.15

7/10=0.70

L-G

0.15, 3/5, 7/10, 0.85

To order the numbers from least to greatest, convert the fractions to decimals and compare. The ascending order is 0.15, 0.6, 0.7, and 0.85.

To order the given numbers from least to greatest, we can convert all the fractions to decimals.

The numbers in ascending order are: 0.15, 0.6, 0.7, 0.85.

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Im assuming that to be the case, so:-

11/12 + 1 3/4

= 11/12 + 7/4

= 11/2 + 21 / 12

= 32 / 12

= 2 2/3 OZ.    (Choice D).

Mary mixed Quatities of 2 2/3 ounces of paint by adding 11/12 oz of red paint and 1 3/4 oz of white paint.

To find out how many ounces of paint Mary mixed, we need to add the amounts of red and white paint.

First, let's add the red paint: 11/12 oz.

Next, let's add the white paint: 1 3/4 oz.

To add fractions, we need a common denominator. In this case, the common denominator is 12, so we can rewrite 1 3/4 as 7/4: 7/4 oz.

Now, let's add the two amounts: 11/12 + 7/4.

To add fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 12. Multiply the numerator and denominator of the first fraction by 1 (12/12) and the numerator and denominator of the second fraction by 3 (3/3).

So, 11/12 + 7/4 is equal to (11/12) + (21/12) = 32/12.

We can simplify 32/12 to 2 8/12, and further simplify it to 2 2/3 oz.

Therefore, Mary mixed 2 2/3 ounces of paint.

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I got 28%. I divided 14 by 50 to get 0.28. The problem can then be multiplied by 100 to get 28.

20 divided by 1/3 = 6 2/3, therefore Ms Chavez used 6 and two thirds of eggs.

Final answer:

Ms. Chavez will use 6 eggs to make cookies.

Explanation:

Ms. Chavez bought 20 eggs at the market. She will use 30% of these eggs to make cookies.

To find out how many eggs Ms. Chavez will use to make cookies, we can multiply the total number of eggs by the percentage used:

Number of eggs used = 20 × 0.30

Number of eggs used = 6

Therefore, Ms. Chavez will use 6 eggs to make cookies.

3 : 4 = 2700 : 3600

sum the parts of the ratio : 3 + 4 = 7

divide 6300 by 7 to obtain 1 part

[tex]\frac{6300}{7}[/tex] = 900 ← 1 part

3 parts = 3 × 900 = 2700

4 parts = 4 × 900 = 3600

note that 2700 + 3600 = 6300

The nurse is using Deductive​ reasoning.

Deductive reasoning is a valid form of proof. Here, a person makes conclusions based on previously known facts. It is process of reasoning from one or more statements to reach a logically certain conclusion. If all the parameters are true and the terms are clear then the conclusion reached is necessarily true.

Answer:

$236.38

3.20%

Step-by-step explanation:

Simple interest = PNR/100 where P = Principal = 13132/-

N = 8 months = 8/12 years and r = 2.7%

Hence simple interest = 13132 (8/12)(2.7/100)

= 236.376

= 236.38 dollars

-----------------------------------------------------

2) On the same notation, here PNR/100 = 8546(1)(R)/100=273.47

Solving

R = 273.47(100)/8546 = 3.19999

= 3.20% apprxy.

-------------------------------

Answer:

The answer is A

Step-by-step explanation:

The distance of 7,500,000 miles expressed in scientific notation is 7.5 × 10⁶, which corresponds to option A) 7.5 × 10⁶.

The spacecraft travels 7,500,000 miles in one year. To express this distance in scientific notation, we need to convert it into the form of a × 10ⁿ, where a is a number between 1 and 10, and n is an integer.

To find the correct form, we can manipulate the original number. We move the decimal point 6 places to the left (since there are six zeros in the million), which gives us 7.5. Thus we can write 7,500,000 as 7.5 × 10⁶. So, the correct answer is A) 7.5 × 10⁶.

With the help of the definition of alternate angle and corresponding angle, the result obtained is The letter 'F' illustrates corresponding angle Fourth option is correct

What is alternate angle and corresponding angle?

At first we need to understood what is angle, parallel lines and transversal Angle When two straight lines intersect, an angle is formed. The point of intersection is called the vertex of the angle and the lines are called the arms of the angle. Parallel lines Two lines are said to be parallel if on extending them indefinitely, they will never intersect Transversal is a line that intersects two or more parallel lines Alternate angle The angle formed on the opposite side of transversal  is called alternate angle. Corresponding angles are those angles formed on same side of transversal when a transversal intersect two or more parallel lines

Here,
The letter 'F' illustrates corresponding angle

Fourth option is correct

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The answer is f(x) ≥ 2x^2 + 4x

Hope this helps!

Answer: a) f(x) ≤ -2x^2 + 4x

Step-by-step explanation:

In the graph you can see that the "hands" of the quadratic function go up, this means that the principal constant (the one that multiplicates the square term) is positive:

this is:

for a function f(x) = a*x^2+ b*x + c

if a is positive, the hands will go upside, if a is negative, the hands will go downside.

we also can see that the shaded area is upside the curve, so we are looking for f(x) > something.

Then we can discard the third option because we have f > -2*x^2..

the remaining options are:

a) f(x) ≤ -2x^2 + 4x or f(x) ≥ 2x^2 - 4x

b) f(x) ≥ 2x^2 + 4x

first, you can see that in the second function both terms have the same sign, so there can be only one x-intercept, but in the graph, we can see two x-intercepts, so we can also discard option b.

The remaining option, and the correct one, is option a.

B Should be your answer!

Answer:

B. [tex]350x+625[/tex].

Step-by-step explanation:

Let x represent number of weeks.

We have been given that Patricia is starting a part-time job that pays her $350 a week. So the amount saved after x weeks would be [tex]350x[/tex].

We are also told that Patricia has saved $625. So total amount saved by Patricia after x weeks would be [tex]350x+625[/tex].

Therefore, the expression [tex]350x+625[/tex] represent Patricia's total savings after x weeks and option B is the correct choice.

The median is the number that is halfway into the set. To find the median, the numbers should be arranged in order from least to greatest. After arranging these numbers find the middlemost number in the set which is th median.

3 Is the median.

The median in a series of numbers represents the middle value when the numbers are arranged in ascending order. If the number of observations is even, as in this case, the median is the average of the two middle numbers. Therefore, the median of the given set of numbers is 3.

The question is about finding the median of a given set of numbers. The median is the middle value in a set of numbers when the numbers are arranged in ascending or descending order. If the set has an even number of observations, the median is the average of the two middle numbers.

1. Firstly, arrange the set of numbers in ascending order: 0, 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 6, 6.

2. Since we have an even number of observations (20), we need to find the average of the 10th and 11th numbers. Those numbers are 3 and 3.

3. Average of 3 and 3 is 3.

So, the median of the given set of numbers is 3.

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Write an equation representing what you already know:

x=29.6

x represents fluid ounces. One fluid ounce is 29.6 mL.

You want to find 8 fluid ounces.

8x=8*29.6

x=236.8

Round to the nearest whole number.

x=237

Answer:

A

Step-by-step explanation:

The 17th Amendment came about during the Progressive Era. During this time in American history, reformers were pushing to clean up health standards, improve moral standards, elevate American education and fight corruption in state and local governments. The push for popular election of Senators became part of that campaign.

Leading the way for this reform was the populist William Jennings Bryan. Bryan, who would later become Secretary of State, served as a representative of the House of Representatives. Bryan also ran for president, although he lost to William McKinley. Bryan was highly critical of the Senate's perceived corruption and ineffectiveness. Consequently, he actively campaigned for the passing of the 17th Amendment.

In addition to Williams Jennings Bryan, the yellow journalist William Randolph Hearst published in Cosmopolitan magazine a series of articles criticizing the way in which the Senate conducted business. This helped gain popular support for the new constitutional amendment.

It is 40 because 24/40= 0.6 and 18/30= 0.6 so yeah its 40

Answer:

40

Step-by-step explanation:

We know that DEFG is similar to WXYZ.  This means we can set up a proportion to find the length of the unknown side (let x be the unknown side):

18/30 = 24/x

Cross multiplying,

18(x) = 30(24)

18x = 720

Divide both sides by 18:

18x/18 = 720/18

x = 40

First write the function [tex]y=(x+12)(x-6)[/tex] in standard form [tex]y=ax^2+bx+c:[/tex]

[tex]y=x^2-6x+12x-72,\\\\y=x^2+6x-72.[/tex]

Find the x-coordinate according to the rule

[tex]x_{vertex}=-\dfrac{b}{2a}.[/tex]

Thus,

[tex]x_{vertex}=-\dfrac{6}{2\cdot 1}=-3.[/tex]

Now find the y-coordinate of the vertex substituting x=-3 into the parabola equation:

[tex]y_{vertex}=(-3)^2+6\cdot (-3)-72=9-18-72=-81.[/tex]

Answer: the x-coordinate if the vertex is -3.

The x-coordinate of the parabola’s vertex is 3

from the question, we have the following parameters that can be used in our computation:

y = (x - 6)(x + 12)

When expanded, we have

y = x² - 6x + 12x - 72

So, we have

y = x² + 6x - 72

the x-coordinate of the parabola’s vertex is calculated as

x = -b/2a

So, we have

x = -6/2* 1

Evaluate

x = -3

Hence, the x-coordinate of the parabola’s vertex is 3

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To evaluate the given expression, we follow the order of operations (PEMDAS) and calculate the exponentials first. Next, we perform the multiplication and addition/subtraction operations from left to right to find the final result. Following the order of operations (PEMDAS), the expression 6^2+(3⋅4)−2^4 simplifies to 32.

To evaluate the given expression, we need to follow the order of operations, which is PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

First, let's calculate the exponentials:

6^2 = 6 * 6 = 36

2^4 = 2 * 2 * 2 * 2 = 16

Next, let's perform the multiplication and addition/subtraction operations from left to right:

3 * 4 = 12

36 + 12 - 16 = 48 - 16 = 32

Therefore, the result of the given expression is 32.

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Answer:

he would have to sell 30 cakes

Step-by-step explanation:

if you take the amount it actually cost to make it and the amount he is selling them for you would first do

1.80 - 3.00 = 1.20$

after you get 1 dollar and 20 cents you would divide it by 36 dollars to get 30

to check your answer do 30 x 1.20 = 36.00

Answer:

True ,if they are adjacent and share a vertex and one side

To find the mass of each cube, divide the total mass of the box by the number of cubes. The mass of each cube in Box A is 33.21 grams, while the mass of each cube in Box B is 90 grams.

To determine the mass of each cube, we need to divide the total mass of the box by the number of cubes.

Mass of each cube in Box A = Total mass of Box A / Number of cubes in Box A = 1760 grams / 53 cubes = 33.21 grams per cube.

Mass of each cube in Box B = Total mass of Box B / Number of cubes in Box B = 1620 grams / 18 cubes = 90 grams per cube.