24.94 is 29% of what number

Last Option: "The division property is used to create step 4" is the correct answer

Step-by-step explanation:

Given equation is:

[tex]6(3x-4)-26 = 40[/tex]

Step 1: Distributive property

[tex]18x-24-26 = 40\\[/tex]

Step 2: Simplifying

[tex]18x-50 = 40[/tex]

Step 3: Addition Property of Equality

[tex]18x-50+50 = 40+50\\18x = 90[/tex]

Step 4: Division Property of Equality

[tex]\frac{18x}{18} = \frac{90}{18}\\x = 5[/tex]

Hence,

Last Option: "The division property is used to create step 4" is the correct answer

Keywords: Linear equation, variables

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Answer:

A) Sin A  + Sin B  =  1.2 Sin C  

D) Sin C =  2.5 Sin A  = 1.25 Sin B

E)  Sin A  + Sin C  =  1.75 B

Step-by-step explanation:

Here, in the given triangle ABC

Base AC = 16 units, AB  = 2 units, and BC  = 8 units

Now, by Trigonometric Functions:

[tex]\frac{Sin A}{8} = \frac{Sin B}{16} =\frac{Sin C}{20}[/tex]

Comparing first two terms, we get:

[tex]\frac{Sin A}{8} = \frac{Sin B}{16} \\\implies 2Sin A = Sin B[/tex]                 ........... (1)

Also,

[tex]\frac{Sin B}{16} = \frac{Sin C}{20} \\\implies Sin C = 1.25 Sin B[/tex]   ....... (2)

Comparing first and last  terms, we get:

[tex]\frac{Sin C}{20} = \frac{Sin A}{8} \\\implies SinC = 2.5 Sin A[/tex]      ..........  (D)

Also, Sin A  = 0.5 Sin B

So, the given statement Sin A  = 2 Sin B is FALSE

⇒ 2.5 Sin A  = 1.25 Sin B   .......... (D)

Also,  Sin B  = 2 Sin A

⇒ Sin A  + Sin B =  Sin A + 2 Sin A =  3 Sin A

Also, Sin A  = 0.4 Sin C

⇒3 Sin A = 3 x (0.4) Sin C  = 1.2 Sin C  ..

⇒Sin A  + Sin B  =  1.2 Sin C   ........ (A)

B)   Sin A  - Sin B  = 0.4 Sin C - 2 Sin A  =  0.4 Sin C - 2 (0.4 Sin C)  

= 0.4 Sin C  - 0.8 Sin C  = -0.4 Sin C

⇒Sin A  - Sin B  =  -0.4 Sin C   ........ (B)

So, the given statement is FALSE

E)   Sin A  + Sin C =  0.5 Sin B + 1.25 B =  1.75 B

⇒ Sin A  + Sin C  =  1.75 B  ....(E)

Answer:

85.44 miles apart

Step-by-step explanation:

According to the question;

We are supposed to determine how far apart are the airports.

That is;

c² = 80² + 30²

    = 6400 + 900

    = 7300

c = √7300

  = 85.44

Thus, the airports are 85.44 miles apart

Answer:

1.55 × 10^24

Step-by-step explanation:

The answer is A aka 1.55 x 10 to the power of 24

Answer:

1664 boys

Step-by-step explanation:

3200×0.52=1664 boys

Answer:

1664

Step-by-step explanation:

Multiply 3200 by the 52% as a decimal, which is 0.52, and 3200 times 0.52 gives you the answer 1664.

Answer:

1/2

Step-by-step explanation:

The answer would be x-2y= -4 I hope this helped!

Answer:i8lil

Step-by-step explanation:

loo;;o;o;oo;

Answer:

you Go up to who ever teaches you cuz it’s 8 and u should know This

The circumference and the area of the circular flower bed is 14π feet

The formula for calculating the circumference of a circle is expressed as:

C = 2πr

Given the following parameeters

diamter = 14ft

radius = 14/2  = 7ft

Susbtitute

C = 2π(7)

C = 14π feet

A  = π(7)^2
A = 49 π square feet

Hence the circumference and the area of the circular flower bed is 14π feet

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Answer:

Subtracting polynomials is simply subtracting the like terms

(x-2)-(6x-9)

First you want to subtract your x from 6x

x-6x= -5x

Than you would subtract -2 and -9

-2- -9=7

-2+9=7

Your final answer would be

-5x+7

Hope this helps ;)

Step-by-step explanation:

Answer: 64g

Step-by-step explanation: added 20 by 20 and then add the 4.

Answer:it stays the same

Step-by-step explanation: because if it different letters it can’t combine

Answer:

X = -15

Step-by-step explanation:

Divide -60 by 4

Answer:

[tex]y = \frac{3}{4}x + \frac{19}{4}[/tex]

Step-by-step explanation:

We have to get the equation of the straight line through the points (3,7) and (-1,4).

Now, we know that the two-point formula of a straight line passing through the two points [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex] is given by

[tex]\frac{y - y_{1} }{y_{1} - y_{2}} = \frac{x - x_{1} }{x_{1} - x_{2}}[/tex].

So, in our case, the equation of the straight line will be

[tex]\frac{y - 7}{7 - 4} = \frac{x - 3}{3 + 1}[/tex]

⇒ 4(y - 7) = 3(x - 3)

⇒ 4y - 28 = 3x - 9

⇒ 4y = 3x + 19

⇒ [tex]y = \frac{3}{4}x + \frac{19}{4}[/tex] (Answer)

Answer:

x is greater than StartFraction 1 Over 6 EndFraction.

Step-by-step explanation:

–2(8x – 4) < 2x + 5

⇌  –16x + 8 < 2x + 5

⇌ 3 < 18x

⇌ 1/6 < x

⇌ x > 1/6

Answer:

A

Step-by-step explanation:

Answer: 35.27 oz

The answer is: The change of 1 kg ( kilogram ) unit for a weight and mass measure equals = into 35.27 oz ( ounce ) as per its equivalent weight and mass unit type measure often used.

Approximately, 1 kilogram is equivalent to 35.3 ounces. This calculation is achieved by starting with the knowledge that 1 kilogram is 1000 grams, then converting this measurement to ounces knowing that 1 gram equals 0.0353 ounces.

The topic at hand is the conversion between weight metrics, specifically how many ounces are approximately equivalent to a kilogram. It's important to note that 1 kilogram is approximately equivalent to 35.274 ounces. Here's why:

We understand from the given information that 1 ounce is produced by a mass of 28.35 grams (abbreviated as g). Given that 1 kilogram (kg) is equal to 1000 grams, to find the equivalent of a kilogram in ounces, we need to convert 1000 grams to ounces:

Step-by-Step Calculation

So, 1 kilogram is approximately equivalent to 35.3 ounces.

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It takes 4 years for number of daily visitors to be 800% more than the number of daily visitors in 2003

Solution:

Let the number of visitors in 2003 be 100

From 2003 onward, the number of daily visitors to a website increased by 200% every two years

Therefore, Number of visitors in 2005 is given as:

Visitors in 2005 = 100 + 200 % of 100

[tex]Visitors\ in\ 2005 = 100 + \frac{200}{100} \times 100\\[/tex]

Visitors in 2005 is 300

Similarly, in 2007, the number of visitors is given as:

Visitors in 2007 = 300 + 200 % of 300

Visitors in 2007 = 300 + 600

Visitors in 2007 = 900

Now find the percentgae increase from 2003 to 2007

[tex]\text { Percentage increase }=\frac{\text {visitors in } 2007-\text {visitors in } 2003}{\text {visitors in } 2003} \times 100[/tex]

[tex]\text{percentgae increase} = \frac{900 - 100}{100} \times 100\\\\\text{percentgae increase} = 800[/tex]

Thus it is a 800 % increase

Number of years = 2007 - 2003 = 4 years

Thus it takes 4 years for number of daily visitors to be 800% more than the number of daily visitors in 2003

If a number increases by $200\%$, then this means that $2$ times the number is added to the original number. The result is $3$ times the original number. So, the information given in the problem means that the number of daily visitors to the website tripled every two years.

For the number of daily visitors to increase by $800\%$, it must become $9$ times its original value (that's $8$ times the original number added onto the original number). This is equivalent to tripling and then tripling again.

Relative to its value in $2003$, the number of daily visitors to the website tripled by $2005$, then tripled again by $2007$. So, $\boxed{2007}$ is the year in which this number reached $800\%$ more than its value in $2003$.

Answer:

Miguel traveled 0.2 mile per minute.

Step-by-step explanation:

3÷15=0.2

Speed can be interpreted from a graph's slope in a distance versus time plot. Comparing this to Molly's speed of 0.15 mile per minute, we could establish who is faster or slower. However, without the actual graph of Miguel's bicycling, we can't make a specific comparison.

This question relates to graph interpretation and the concept of speed. Here, we're trying to compare the cycling speed of Miguel and Molly. Molly's speed is given as 0.15 mile per minute. Without the graph available, we cannot definitively compare their speeds. But let's briefly explain what we'd look for.

If we had Miguel's graph, we'd specifically examine the slope of the graph. In a distance vs. time plot, speed is represented by the slope of the graph. Therefore, if the slope of Miguel's graph indicated a value higher than 0.15 mile per minute (steep slope), Miguel was going faster. Conversely, if it showed a lesser value (gentle slope), Miguel was going slower.

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Answer:

The irregular polygon is D.

Step-by-step explanation:

An irregular polygon is a shape that doesn't have all congruent sides.

Answer:

D

Step-by-step explanation:

Answer:

Your final answer will be 2x^2 + 5x -3

Step-by-step explanation:

Answer:

Step-by-step explanation:

I need help

Answer:

28 girls

Step-by-step explanation:

Given girls : boys ===> 7 : 12

i.e.

fraction all children who are girls = 7 / (7 + 12) = 7 / 19

fraction all children who are boys = 12 / (7 + 12) = 12 / 19

given that there are 76 children

number of girls = fraction of all children who are girls x total number of children

= 7/19   x   76

= 28 girls

Answer:

A customer earns one free night per 10 nights stayed.

Step-by-step explanation:

A hotel offers a reward program based on the number of nights stayed. The function f(x) represents the number of free nights earned as a function of x, the number of nights stayed.

Here, [tex]f(x) = \frac{x}{10}[/tex] ........... (1)

In the above equation if we put x = 10 nights then f(10) = 1 night.

From, the equation (1) we get that a customer earns one free night per 10 nights stayed. (Answer)

The correct option is A. a customer will earn 1 free night per 10 night stayed.

Given,

[tex]f(x)=\dfrac{x}{10}[/tex]..........equation (1) .

Since the hotel offers a reward program based on the number of nights stayed. The function [tex]f(x)[/tex] represents the number of free nights earned as a function of [tex]x[/tex], the number of nights stayed.

From equation (1), it is clear that  f(x) is the one- tenth times  of x. it means the customer will earn 1 free night per 10 night stayed.

Hence the correct option is A. a customer will earn 1 free night per 10 night stayed.

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Answer:

12

Step-by-step explanation:

3[y+2]

2+2= 4

3 multiplied by 4 is 12

Answer: 12

Step-by-step explanation: Since y = +2, we simply plug a +2 in for y in the expression. So we have 3(2 + 2).

Following your order of operations, you should simplify what's inside the parentheses first so 2 + 2 simplifies to 4.

Bring down your 3 and you have 3(4) which equals 12.

Answer:

see attached picture please

Answer:

x=-1, y=1. (-1, 1).

Step-by-step explanation:

5y-6=x

y=-x

-----------

5(-x)-6=x

-5x-6=x

-5x-x=6

-6x=6

x=6/-6

x=-1

y=-(-1)=1

Answer: C

Step-by-step explanation:

to be a good graph the x axis and y axis need labeled

The graph could be misleading because it does not indicate if the free throws were made at home or away, it is missing the scale on the y-axis, and it doesn't specify if all team members are included.

The statement that best describes why this graph could be misleading is A. The graph does not indicate if the free throws were made at home or away. The graph may show higher or lower percentages for certain players based on the location of the game. For example, a player may have a higher free throw percentage when playing at home compared to playing away.

Additionally, statement C is also correct. The graph is missing the scale on the y-axis, which makes it unclear how much higher or lower the free throw percentages are for each player.

Lastly, statement D is another reason why the graph could be misleading. Without knowing if all the people on the team are included, the graph may not provide an accurate representation of the overall free throw percentages of the team.

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Two equivalent fractions for 20/100 are 1/5 and 2/10. These are found by simplifying the fraction 20/100 by dividing by 20 and 10, respectively. Setting up proportions in different contexts often uses the principle that multiplication and division are related through reciprocals.

To find two equivalent fractions for 20/100, we can simplify the fraction by dividing the numerator and the denominator by the same number. Since both 20 and 100 are divisible by 20, we can divide them both by 20 to get the first equivalent fraction, which is 1/5. To find a second equivalent fraction, we might choose another common divisor, like 10, which gives us 2/10 as another equivalent fraction to 20/100.

Converting percents to fractions involves writing the percentage as a fraction with a denominator of 100 and then simplifying. For instance, 20% would become 20/100 which simplifies to 1/5. To set up a proportion in other contexts, you could follow examples like setting scales in drawings or units in ratios equal to one another, and in doing so, you're often utilizing the concept that multiplication and division are related through the use of reciprocals.

Answer:

Midpoint of AB=(6,10) ,Midpoint of BC=(6,9) and Midpoint of CA=(-3,12)

Step-by-step explanation:

Given that the points are A(-3,13), B(15,7) and C(-3,11)​

To find the mid points :

To find midpoint of AB

Let [tex](x_1,y_1) and (x_2,y_2)[/tex] be the points A(-3,13),B(15,7) respectively

Midpoint of AB[tex]=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

[tex]=(\frac{-3+15}{2},\frac{13+7}{2})[/tex]

[tex]=(\frac{12}{2},\frac{20}{2})[/tex]

[tex]=(6,10)[/tex]

Midpoint of AB=(6,10)

To find midpoint of BC

Let [tex](x_1,y_1) and (x_2,y_2)[/tex] be the points B(15,7),C(-3,11) respectively

Midpoint of BC[tex]=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

[tex]=(\frac{15-3}{2},\frac{7+11}{2})[/tex]

[tex]=(\frac{12}{2},\frac{18}{2})[/tex]

[tex]=(6,9)[/tex]

Midpoint of BC=(6,9)

To find midpoint of CA

Let [tex](x_1,y_1) and (x_2,y_2)[/tex] be the points C(-3,11),A(-3,13),respectively

Midpoint of CA[tex]=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

[tex]=(\frac{-3-3}{2},\frac{11+13}{2})[/tex]

[tex]=(\frac{-6}{2},\frac{24}{2})[/tex]

[tex]=(-3,12)[/tex]

Midpoint of CA=(-3,12)

Therefore Midpoint of AB=(6,10) ,Midpoint of BC=(6,9) and Midpoint of CA=(-3,12)

Answer:

23.902

Step-by-step explanation:

Answer:  Y = - 4 & x = 1

Step-by-step explanation:

Systems of linear equations: We will solve this using substitution but you can use 2 more ways.

7x + 2y = -1

2x - 4y = 19

Leave X  alone first: -------------------

10x - 2y = 18

10x/10 = 18 + 2y/10

x = 9/5 + y/5

Solve for y:

7(9/5 + y/5) + 2y = -1

63/5 + 7y/5 + 2y - 1

63/5 + 7y/5 = 10y/5 = -1

63/5 + 17y/5 = -1 (-5/5)

17y/5 = -68/5 (cancel the 5)

y = -68/17

y = - 4 (Your Answer)

7x + 2(- 4) = -1

7x + (-8) = -1

7x = 7

x =   1

CHECK=

7(1) + 2(-4) = -1

7+ (-8) = -1.

-1=-1

Answer:

(1, -4).

(x = 1, y = -4).

Step-by-step explanation:

7x + 2y = -1

3x  – 4y = 19    Multiply the first equation by 2:

14x + 4y = -2     Adding:

17x = 17

x = 1.

Plug this into the second equation:

3(1) - 4y = 19

-4y =  19 - 3 = 16

y = -4.

Answer:

C

Step-by-step explanation:

Answer:  C ) No, Hugo forgot to multiply both sides of the first equation in step one.

Step-by-step explanation:

ANSWER: 182 inches

STEP-BY-STEP EXPLANATION:

Since, it is an isosceles trapezoid, then area of an isosceles triangle is given by: [tex]\frac{1 (a+b)}{2}[/tex] × h

where a and b are the two parallel sides of the triangle and h is the height of an isosceles triangle.

Now, a= 12 inches and b= 2+2+12=16 inches and h=13 inches.

[tex]\frac{1 (12+16)}{2}[/tex] × 13 = 182 inches