Answer
The scale factor is
Explanation
We have to ways to find the scale factor here:
1. Find the unit fraction from inches to miles; in other words, we need to divide the distance between the cities on the map (in inches) by the actual distance between the cities.
We can conclude that the scale factor is
2. Let be the scale factor.
We know form our problem that 24 miles times the scale factor is equal 4 1/2 inches, so we can set up an equation an solve for :
Just like before, we can conclude that the scale factor is
B.
Answer
6 inches separate the cities on the map
Explanation
We know that our scale factor is 1/4 inch = 1 mile, so we can create a conversion factor to convert 24 miles to inches. Since we need to convert from miles to inches, the denominator of our conversion factor must be 1 mile so we can cancel miles out. Notice that we can also express 1/4 inch as 0.25 inch to simplify our calculations:
We can conclude that if the conversion factor is 1/4 inch = 1 mile, 6 inches separate the cities on the map.
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Answer: A. Find the unit fraction from inches to miles; in other words, we need to divide the distance between the cities on the map (in inches) by the actual distance between the cities.
Step-by-step explanation:
B. 6 inches separate the cities on the map
what is Tan 46 = x/12
Answer:
≈ 12.43 ( to 2 dec. places )
Step-by-step explanation:
Given
tan46° = [tex]\frac{x}{12}[/tex]
Multiply both sides by 12
12 × tan46° = x, so
x ≈ 12.43
The value of x is 12.426 in the equation Tan 46° = x/12
Tan 46° represents the ratio of the opposite side to the adjacent side in a right triangle with a 46° angle.
Using the tangent function, we have:
Tan 46° = x/12
To find the value of x, we can multiply both sides of the equation by 12:
12 ×Tan 46° = x
Now, we can calculate the value of x using the tangent of 46°:
x = 12×Tan 46°
x= 12 × 1.03553031374
x = 12.4263637649
Therefore, the value of x is 12.426
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The graph shows the distance, y, that a car traveled in x hours: What is the rate of change for the relationship represented in the graph
Answer:
rate of change is
Step-by-step explanation:
first point is 45
second point is 90
45-90 subtract
45
Evaluate 3|-4| ..............................................................................
3|-4|
|-4| means the absolute value, which is always the positive valu of the number shown.
|-4| = 4
Now you have 3 x 4 = 12
To evaluate 3|-4|, find the absolute value of -4 (which is 4) and then multiply it by 3, resulting in the answer 12.
The absolute value of a number is its distance from zero on the number line. To evaluate 3|-4|, we first find the absolute value of -4, which is 4. Then, we multiply 3 by 4 to get the final answer of 12.
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A $4,500 savings account earns $540 in interest. What is the percent of increase on the original value? Show work please
540:4500*100 =
(540*100):4500 =
54000:4500 = 12%
A pile of sand has a weight of 90kg.
The sand is put into a small bag, a medium bag and a large bag in the ratio 2 : 3: 7
Work out the weight of sand in each bag.
Small bag:
medium bag:
large bag:
Total Weight of sand =90Kg
Ratio in which sand is divided= 2:3:7
Let x be the fundamental unit in which the sand is divided.
By conservation of mass.
2x +3x + 7x= 90
=> 12x =90
=> x=90/12 =45/6=15/2=7.5
So Amount of sand in small bag=2×7.5=15Kg
Amount of sand in medium bag =3×(7.5)=23.5Kg
Amount of sand in Large bag =7×(7.5)=52.5 Kg
Hope it helps...
Regards;
Leukonov/Olegion.
Add the ratios to find the total shares:
2 + 3 +7 = 12
Divide the total weight by the number of shares:
90 kg/ 12 =7.5 kg per share.
Now multiple each share by the weight per share:
Small = 2 x 7.5 = 15 kg
Medium = 3 x 7.5 = 22.5 kg
Large = 7 x 7.5 = 52.5 kg
compute a value for y that satisfies the equation below. -3y-12=-4
A. y=-5 1/3
B. y=-2 2/3
C. y=2 2/3
D. y= 5 1/3
Answer:
Step-by-step explanation:
-3y-12= -4
+12 +12
-----------------------
-3y= 8
----- ------
-3 -3
y= -2 2/3 : B
What is (a+2)(a+2) make sure to multiply
Answer:
a² + 4 a + 4
Step-by-step explanation:
( a + 2 ) ( a + 2 )
Expand brackets
a² + 2 a + 2 a + 4
Simplify
a² + 4 a + 4
[tex]\text{Hey there!}[/tex]
[tex]\text{(a + 2)(a + 2)}[/tex]
[tex]\text{In order for you to solve this, you need to DISTRIBUTE}[/tex]
[tex]\text{a(a) = a}^2[/tex]
[tex]\text{a(2) = 2a}[/tex]
[tex]\text{2(a) = 2a}[/tex]
[tex]\text{2(2) = 4}[/tex]
[tex]\text{Next, combine your like terms: 2a \& 2a}[/tex]
[tex]\text{2a + 2a = 4a}[/tex]
[tex]\text{Everything else stays the same because they aren't like terms}[/tex]
[tex]\boxed{\boxed{\bf{Thus,\ your\ answer\ is:a^2+4a+4}}}\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
A 5'6" person walking down the street notices his shadow. If the angle of elevation from the tip of the shadow to the sun is 60°, what is the length of the shadow(round to 2 decimal places)?
Check the picture below.
In rhombus ABCD, AB=14 and AC=19. Find the area of the rhombus to the nearest tenth. A 190.7 B 228.3 C 195.4 D 179.8
Answer:
C
Step-by-step explanation:
The triangle ABC has two sides that are 14 and 1 side that is 19. We can use Heron's formula to Calculate ABC.
s = (a + b + c)/2
s = (14 + 14 + 19)/2 = 23.5
s - a = 23.5 - 14 = 9.5
s - b = 23.5 - 14 = 9.5
s - c = 23.5 - 19 = 4.5
=================
Area = sqrt(s * (s - a) * (s - b) * (s - c) )
Area = sqrt(23.5 * 9.5 * 9.5 * 4.5)
Area = sqrt(9543,9)
Area = 97.69
But ABC is only 1/2 the rhombus. The area is twice that amount.
Area = 2 * 97.69 = 195.4
the table shows the results of 8 teams competing in a scavenger hunt. which team collected the most items? which team collected the fewest items?
Team: 1 2 3 4 5 6 7 8
Portion Collected: 3/4 0.8 77.5% 0.825 29/40 76.25% 63/80 81.25%
24 pts!
Answer:
.825 is the most items Team 4
29/40 is the least. Team 5
Step-by-step explanation:
.825= 82.5% which is the highest percentage collected.
29/40 = 72.5% which is the lowest percentage collected
As per the provided data, the fewest items collected by 5th team that is 72.5% and the largest item is collected by 4th team that is 82.5%
What is Percentage?The Latin term "per centum," which signifies "by the hundredth," was the source of the English word "percentage." Segments with a denominator of 100 are considered percentages. In other terms, it is a relationship where the worth of the entire is always considered to be 100.
As per the data provided in the question,
Team 1 = 75 %
Team 2 = 80%
Team 3 = 77.5%
Team 4 = 82.5 %
Team 5 = 72.5 %
Team 6 = 76.25 %
Team 7 = 78.75 %
Team 8 = 81.25 %
Compare all the values, the largest item collected by 4th team and the fewest done by 5th team.
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Every Sunday John goes to church from his home . He move 2 miles east. How much distance is between home and church
Answer:
2 miles
Step-by-step explanation:
Because I said so
The following dot plot shows how many pets each customer owned before entering Jeremy's Pet Store today. Each dot represents one customer.
Based on this data, what is a reasonable estimate of the probability that the next customer to enter Jeremy's Pet Store has exactly 333 pets?
Choose the best answer.
Choose 1 answer:
Choose 1 answer:
Answer:
c
Step-by-step explanation:
Probability that the next customer to enter Jeremy's Pet Store has exactly 3 pets is 0.23.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given that a dot plot shows how many pets each customer owned before entering Jeremy's Pet Store today.
Based on this data we need to find the reasonable estimate of the probability that the next customer to enter Jeremy's Pet Store has exactly 3 pets.
The total number of customer enter Jeremy's Pet Store is 13.
Probability that the next customer to enter Jeremy's Pet Store has exactly 3 pets= 3/13
=0.23
Hence, Probability that the next customer to enter Jeremy's Pet Store has exactly 3 pets is 0.23.
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The following table gives the apples eaten in a week and the times sick in the year of 10 friends:
Describe the correlation between the apples eaten per week and the times sick per year.
Answer:
The correlation coefficient is 0 which implies no association between the number of apples eaten per week and the times sick in a year.
Step-by-step explanation:
The correlation coefficient between paired data gives information on the strength and the direction of the relationship between the paired data sets. The coefficient of correlation can imply strong or weak association as well as positive or negative association between data sets.
In the data given, the number of apples eaten per week can be used to explain the number of times an individual falls ill per year. This implies that the number of apples eaten per week is our explanatory or independent variable while times sick in a year is our response or dependent variable.
We can use Ms.Excel to compute the correlation coefficient between these two variables;
The first step is to enter the data in two adjacent columns in an excel workbook. We then type;
=CORREL
In an empty cell and enter the data arrays. This is an in-built function that computes the correlation coefficient.
Ms. Excel returns a correlation coefficient of 0. The correlation coefficient of 0 implies no association between the number of apples eaten per week and the times sick in a year.
What is the area of parallelogram
H=4 in b=7 in
Answer:
A = 28 in²
Step-by-step explanation:
Equation for the area of a parallelogram: A = b * h
Plug in: A = 7 in * 4 in
Solve: A = 28 in²
Answer:
its 28
Step-by-step explanation:
The point (-2, 5) is located in quadrant
Answer: (-2, 5) Quadrant II
Step-by-step explanation:
For every point in the plane, we will identify the location using an ordered pair of the form (x, y).
The first coordinate, the x-coordinate, will refer to the number which corresponds with the point's horizontal location as determined by the number on the x-axis.
The second coordinate, the y-coordinate, will refer to the number which corresponds with the point's vertical location as determined by the number on the y-axis.
Quadrant II: x-coordinate is negative and y-coordinate is positive.
[tex]\textit{\textbf{Spymore}}[/tex]
The point (-2, 5) is located in the second quadrant.
What is the quadrant?A quadrant is a region defined by the two axes (x-axis and y-axis) of the coordinate system.
Given the location of Point A at (-2, 5):
This implies that x = -3 and y = 5 represent the coordinates of Point A. In reference to the Coordinate Plane:
Quadrant I (x, y): This quadrant comprises positive x- and y-values.Quadrant II (-x, y): This quadrant comprises negative x-values and positive y-values.Quadrant III (-x, -y): This quadrant comprises negative x- and y-values.Quadrant IV (x, -y): This quadrant comprises positive x-values and negative y-values.Since the coordinates of point A is (-2, 5), this matches the description of the points located in Quadrant II.
Therefore, the point (-2, 5) is located in the second quadrant.
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Which expression is equivalent to
Step-by-step explanation:
[tex]\log_{12}\left(\dfrac{\frac{1}{2}}{8w}\right)=\log_{12}\left(\dfrac{1}{16w}\right)\qquad\text{use}\ a^{-1}=\dfrac{1}{a}\\\\=\log_{12}(16w)^{-1}\qquad\text{use}\ \log_ab^n=n\log_ab\\\\=-1\log_{12}(16w)\qquad\text{use}\ \log_a(bc)=\log_ab+\log_ac\\\\=-\left(\log_{12}16+\log_{12}w\right)=-\log_{12}2^4-\log_{12}w\qquad\text{use}\ \log_ab^n=n\log_ab\\\\=-4\log_{12}2-\log_{12}w[/tex]
The cube of a number divided by two
The cube of a number (n) divided by two can be mathematically represented as n³/2.
Explanation:The cube of a number is achieved when you raise that number to the power of 3. If we have a number, let's denote it as 'n', and we cube it, and we get n³. Now, if you are to divide the cube of a number by two, the formula would be n³/2. For example, if n = 2, the cube of 2 is 8, divided by two equals 4.
The cube of a number divided by two means that you take a number raise it to the power of 3, and then divide the result by 2. For example, if the number is 4, the cube of 4 is 4 × 4 × 4 = 64. Dividing 64 by 2 gives you a result of 32.
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Are the triangles similar if so what postulate or Theorem proves their Similarity
Answer:
no but if they were it would be SSS
Step-by-step explanation:
[tex]\bf \stackrel{\textit{triangles are similar by \underline{Proportional Parts of Similiar Triangles}}~\hspace{10em}}{\cfrac{12}{30}\implies \cfrac{2}{5}~\hfill \cfrac{7}{17.5}\implies \cfrac{2}{5}~\hfill \cfrac{14}{35}\implies \cfrac{2}{5}}[/tex]
Max can mow a lawn in 45 minutes. Jan takes twice as long to mow the same lawn. If they work together, how long will it take them to mow the lawn?
Answer:
30 minutes
Step-by-step explanation:
Given:
Max can mow a lawn in 45 minutes
Max mows in 45mins= 1 lawn
Max mows in 1 min= 1//45 lawn
Jan takes twice as long to mow the same lawn
Jan mows in 2(45mins)= 1 lawn
Jan mows in 1 min= 1//90 lawn
Now finding how long will it take,t , them to mow the lawn
1/t= 1/45 + 1/90
1/t= (2+1)/90
1/t= 3/90
t= 90/3
t = 30
If they work together, they will take 30 minutes to mow the lawn !
Can you guys help me I don’t really understand area that well
Answer:
26026 ft²
Step-by-step explanation:
Area of Trapezium = 0.5 × ( a + b ) × h
a = 206, b = 132 and h = 154
Area of Trapezium = 0.5 × ( 206 + 132 ) × 154
Area of Trapezium = 0.5 × ( 206 + 132 ) × 154
Area of Trapezium = 26026 ft²
the Drama club is running a lemonade stand to raise money for it's new production. A local grocery store donated cans of lemonade and bottles of water. Cans of lemonade sell for $2 each and bottles of water sell for $1.50 each. The club needs to raise at least $500 to cover the cost of renting costumes. The students can accept a maximum of 360 cans and bottles.) Write a system of inequalities that can be used to represent this situation.) quick please I'm being timed
Answer:
Here's what I get.
Step-by-step explanation:
You have two conditions.
1. The club must raise at least $500, and that comes from the sale of lemonade and water.
Let c = cans of lemonade
and b = bottles of water
Then the first condition is
(1) 2c + 1.50b ≥ 500
2. The club can accept a maximum of 360 cans and bottles
Your second condition is
(2) c + b ≤ 360
Your system of inequalities is
[tex]\left[ \begin{array}{rcl}2c + 1.50b & \geq & 500\\c+b & \leq&360\\\end{array}\right][/tex]
Solve this equation.
0>p-5
Answer:
p < 5
Step-by-step explanation:
The only "solving" you can do here is to solve for p:
Add 5 to both sides, obtaining 5 > p, which is equivalent to p < 5.
0>p-5
/ \
+5 +5
add 5 to both sides of the equation to make it disappear
so the answer is 5>p
Isabella has 7 bills, all tens and twenties. She has 100$ in all. How many ten dollar bills does she have
7 bills *10 and 20 dollar bills
= $100
20*3=60
3 bills used 4 left over
10*4=40
no bills left
60+40=100
Mark Brainlyest please
Answer:
4 ten dollar billsStep-by-step explanation:
In order to explain Isabella has 3 twenty dollar bills
3(20)
and 4 ten dollar bills
4(10)
3(20) + 4(10) = 100
60 + 40 = 100
on edge
sorry I know this won't help you, author but it might help people who are using edge in 2022
What is the value of y?
The sum of all angles is 180 degrees. Which means.
[tex]
2y+y+10+50=180
[/tex]
Now just solve for y.
[tex]
3y+60=180 \\
3y=120 \\
y=\boxed{40}
[/tex]
The value of y is 40 therefore option B.
Hope this helps.
r3t40
For this case we have by definition, that the sum of the internal angles of a triangle is 180 degrees. Then, according to the figure we have:
[tex]y + 10 + 2y + 50 = 180[/tex]
We add similar terms:
[tex]y + 2y + 10 + 50 = 180\\3y + 60 = 180[/tex]
We subtract 60 from both sides of the equation:
[tex]3y = 180-60\\3y = 120[/tex]
We divide between 3 on both sides of the equation:
[tex]y = \frac {120} {3}\\y = 40[/tex]
Thus, the value of "y" is 40 degrees.
ANswer:
Option B
41 coins, consisting of nickels and quarters, have a total value of $4.65. How many coins of each kind are there?
Answer:
4
Step-by-step explanation:
Answer: 28 nickels and 13 quarters
Step-by-step explanation:
Let the number of nickels represented by x and the number of quarters represented by y.
Then according to the question, we have the following equations :
[tex]x+y=41....................(1)\\\\0.05x+0.25y=4.65.................(2)[/tex]
Divide 0.05 on both sides of equation (2), we get
[tex]x+5y=93........................(3)[/tex]
Subtract equation (1) from equation (3) , we get
[tex]4y=52\\\\\Rightarrow\ y=13[/tex]
From (1), x=28
Therefore, there are 28 nickels and 13 quarters.
compare the number of sodas to candy bars 4 sodas and 3 candy bars.
Answer:
3:4 is the ratio there are more soda cans
Step-by-step explanation:
There are more sodas than candy bars. Specifically, there are 4 sodas and 3 candy bars, which means there is 1 more soda than candy bars.
To compare the number of sodas to candy bars, we simply look at the quantities given. We have 4 sodas and 3 candy bars. To determine which quantity is greater, we can subtract the number of candy bars from the number of sodas:
Number of sodas - Number of candy bars = 4 - 3 = 1
Since the result is a positive number, it indicates that there are more sodas than candy bars. In this case, there is exactly 1 more soda than candy bars. Therefore, we can conclude that the number of sodas is greater than the number of candy bars.
Solve.
x2 + x – 6 = 0
{2, –3}
{6, –1}
{3, –2}
{2, 3}
Answer:
x = - 3, x = 2
Step-by-step explanation:
Given
x² + x - 6 = 0 ← in standard form
To factorise the quadratic
Consider the factors of the constant term (- 6) which sum to give the coefficient of the x- term (+ 1)
The factors are + 3 and - 2, since
3 × - 2 = - 6 and 3 - 2 = + 1, hence
(x + 3)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x - 2 = 0 ⇒ x = 2
Find the cubed root of 512
Answer:
The cube root of 512 is 8
Step-by-step explanation:
The cube root of a number is expressed in radical form as;
[tex]\sqrt[3]{x}[/tex]
Using exponents, the above expression is equivalent to;
[tex]x^{\frac{1}{3}}[/tex]
512 can be expressed as;
2*2*2*2*2*2*2*2*2
This is equivalent to;
[tex]2^{9}[/tex]
Therefore;
[tex]512^{\frac{1}{3} }=(2^{9})^{\frac{1}{3} }=2^{3}=8[/tex]
The cube root of 512 is thus 8
Answer:
8
Step-by-step explanation:
8 into 8 into 8 is 512. b. NN n. NN
June and Stella can each create six floral arrangements in one hour. If they take in 372 Valentine’s Day orders, how many hours will they need to fulfill them?
June and Stella can together create 12 floral arrangements per hour. To fulfill 372 orders, they would need to work for 31 hours.
Explanation:This problem is solved by calculating the combined rate of work of June and Stella and then using this to calculate the time it will take to complete the orders. June and Stella can create a total of 12 floral arrangements per hour (6 arrangements each). Therefore, to complete 372 orders, they would need 372 divided by 12 hours.
To perform this calculation, divide 372 by 12:
372 ÷ 12 = 31 hours
So, June and Stella would need 31 hours to complete 372 Valentine’s Day floral arrangements if they work together at their current rate.
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June and Stella will need 31 hours to fulfill the 372 Valentine's Day orders.
Explanation:To find out how many hours June and Stella will need to fulfill the orders, we can use the concept of unit rates. We know that June and Stella each create 6 floral arrangements in 1 hour. So together, they can create 12 floral arrangements in 1 hour. Now, we can set up a proportion using the given information: 1 hour is to 12 floral arrangements as x hours is to 372 floral arrangements. This can be written as: 1/12 = x/372. To solve for x, we can cross-multiply: 12x = 372. Dividing both sides by 12 gives us x = 31. Therefore, June and Stella will need 31 hours to fulfill the 372 orders.
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What is the median of the data represented In the line plot below
Answer: 1
Work:
The median is one because to find median you have to put all the values in order and the median is the model value of the organization. If there are two in the middle find the mean of both of them. To find the mean, add up all the values to find the total and then divide the total by the number of values you added together.
Hope this helped!