Using proportions, it is found that Belinda's map uses a scale of 0.025 inches : 100 feet = 0.00025 inches : 1 feet.
What is a proportion?A proportion is a fraction of a total amount, and the measures can be related using a rule of three, which derives from proportional relationships.
Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures, involving operations such as division and multiplication, as they involve unit rates.
Scale problems are solved using proportions. Elvis’s map uses a 1/4 scale of 1 inch to 100 feet, hence:
1 inch represents 100 feet in the entire scale.1/4 of that is that 1/4 = 0.25 inches represent 100 feet.Belinda's map has the same area, hence they use the same scale, hence she uses a scale of 0.025 inches : 100 feet = 0.00025 inches : 1 feet.
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Your answer should be a polynomial in standard form.
(x - 2)(x - 6)
The Drama Club sold 900 tickets to the school play. They charged $5.50 for students and $8.00 for non-students.
If they took in $5700, how many non-student tickets were sold?
Answer:
300 non student tickets were sold
Step-by-step explanation:
Let's solve the equation step by step,
In order to solve for how many non student tickets were sold, let's make an equation
5.50x + 8.00y = 5700 --------(equation 1)
x + y = 900 ---------------(equation 2)
Let's solve for x and y
5.5x+8y=5700;x+y=900
Rewrite equations:
x+y=900;5.5x+8y=5700
Step: Solve x+y=900 for x:
x+y=900
x+y+−y=900+−y(Add -y to both sides)
x=−y+900
Step: Substitute−y+900forxin5.5x+8y=5700:
5.5x+8y=5700
5.5(−y+900)+8y=5700
2.5y+4950=5700(Simplify both sides of the equation)
2.5y+4950+−4950=5700+−4950(Add -4950 to both sides)
2.5y=750
2.5y/2.5 = 750/2.5
(Divide both sides by 2.5)
y=300
Step: Substitute300foryinx=−y+900:
x=−y+900
x=−300+900
x=600(Simplify both sides of the equation)
Since y = 300 then 300 non student tickets were soldWhat is the product of (−3)(18) • (−5)?
Answer:
The product of (-3)(18) * (-5) is 270.
Step-by-step explanation:
(-3)(18) * (-5)
Multiply -3 and 18.
(-54) * (-5)
Multiply -54 and -5. When multiplying 2 negative numbers, the result will become positive.
270.
Answer:
270
Step-by-step explanation:
BODMAS
Brackets, Order, Division, Multiplication, Addition, Subtraction.
(-3)(18) is basically (-3) • (18)
No more expressions within brackets so we go by order from left to right of the equation.
(-3) • (18) = (-54)
(-54) • (-5) = 270
Hope this helps! ^^
8w-6(w-4)=2(w+9)
please help asap
Answer:
w = -7.04 and 1.705
Step-by-step explanation:
First lets distribute.
We have 8w-6w(w-4), so let's distribute the -6w to w and -4
8w-6w^2+24w = 2(w+9)
Now for the other side we distribute 2 to w and 9
8w-6w^2+24w = 2w +18
Now we combine like terms
6w^2+32w = 2w +18
Carry both 2w and 18 to the other side
6w^2 +30w -18 = 0
Now we can factor the equation, i used the quadratic method which is x= -b+- the square root of b^2-4ac /2a (in this case x would be w)
Plugging that in:
x= -32 +- square root of 32^2 -4(6 * -18) / 2(6)
-32 +- square root of 1024 +1728 / 12
-32 +- square root of 2752 /12
-32 +- 52.46 /12
x = -32 - 52.46/12 and -32 + 52.46/12
x= -84.46/12 and 20.46/12
x= -7.04 and 1.705
so w = -7.04 and 1.705
Sorry this was so complicated, but I hope this helps
is -4 rational or irrtaional
-4 is a rational number...
Write a multiplication sentence to match the number of groups.skip count to find the totals 3twos
Answer:
i have 3 and i do 3 times more.
Step-by-step explanation:
When it is easier to use the point-slope form to write the equation of a line and when it is easier to use the slope-intercept form? brainley
The slope-intercept form will be easier to write the equation of the line.
What is the equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The equation of the line for the slope and intercept form is y = mx + c. Where m is the slope of the line and c is the y-intercept of the line.
Therefore, the slope-intercept form will be easier to write the equation of the line.
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All that applies to square root of 175
Answer:
13.2287566
Step-by-step explanation:
What Is the Square Root of 175? The square root of 175 is defined as the value obtained on the multiplication of an integer by itself which will give the final product as 175. As there is no such integer which on multiplication with itself will give 175 exactly, the square root of 175 is not a whole number.
Use the distributive property to write an equivalent expression.
4(w-2x+4)
Linda built a games board in industrial arts class. The top was a rectangle of 60cm by 48cm. What was the largest size of identical felt squares she could use to cover the top exactly?
The largest size of identical felt squares that can be used to cover the top of rectangle is 5 squares of side 24cm.
The rectangle is a 2-dimensional figure with length and breadth which may or may not be same. A square is also a 2-dimensional figure with equal length of its sides.
When the dimensions of rectangle are given, it's are is given as the product of the sides of the rectangle which is given as:
Area of rectangle = Length × Breadth = 60 × 48 = 2880 cm square
The length of the square that entirely covers up the top side i.e., rectangular top can be determined by hit and trial mechanism starting from the lowest whole number in order to determine the length of largest squares of equal dimensions. Then comparing the area of the rectangular top and product of number of squares needed and area of each square, we can find the largest size of the square.
Area of square = length × length = l²
Since, Area of rectangular top = No. of squares × Area of 1 square
Therefore, 2880 = N (l²)
Putting N =1, 2, 3, 4, 5 and so on, we find that when N = 5, the value of square root of l is a perfect whole number.
Hence, 2880 = 5 × (l²)
l = √576 = 24
Thus, 5 squares of side 24cm will be used to cover the rectangular top entirely.
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what are some properties of an isosceles triangle
Answer:
3 equal side 3 congruent angles of 60°
Step-by-step explanation:
what are some properties of an isosceles triangle
3 equal side 3 congruent angles
Evaluate the function.
f(x) = 2x² – 3x – 1
Find f(8)
Given ~
[tex] \tt \: f(x) = 2x² – 3x – 1[/tex]
[tex] \: [/tex]
put the value of x=8 in given function ~
[tex] \tt \: f(8) = 2 ({8})^{2} - 3(8) - 1[/tex]
[tex] \: [/tex]
[tex] \tt \: f(8) = 2 (64) - 3(8) - 1[/tex]
[tex] \: [/tex]
[tex] \tt \: f(8) = 128 - 24 - 1[/tex]
[tex] \: [/tex]
[tex] \tt \: f(8) = 104 - 1[/tex]
[tex] \: [/tex]
[tex] \underline { \boxed{ \tt \red{f(8) = 103}}}{ \green ✓}[/tex]
[tex] \: [/tex]
hope helps ~
44.00 divided by 2.20
Showed with work PLSS HELP ME !!!!
Answer:
20
Step-by-step explanation:
[tex]\begin{matrix}\:\:\:\:\:\:\:\:\emptyspace2\emptyspace0\:\:\:\:\:\:\:\:\:\:\:\:\\ 22\overline{|\smallspace440}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\underline{\emptyspace4\emptyspace4}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\emptyspace0\emptyspace0\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\underline{\emptyspace0}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\emptyspace0\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]
Current trends in math instruction are likely to lead to graduates who are able to?
Current trends in math instruction are likely to lead to graduates who are able to "find precise answers quickly by consulting texts and tables."
What is math instruction?A analysis of studies on mathematics instruction encompassing students with educational disabilities discovered a variety of behavioral, cognitive, & metacognitive approaches that have been shown to improve both mathematical computation & mathematical solving problems in students with LD.
Some key features regarding the math instruction are-
The majority of metacognitive instruction has indeed been combined with really explicit instructional strategies in which students are taught and then given ample practice opportunities.Metacognitive strategy training research has revealed the effectiveness of these training across a wide range of tasks and training types. Recent research on explicit solving problems, including the growth to higher-level math including algebra, and research on affectively oriented self-instruction, has piqued the interest of many.Some points regarding the importance of the math instruction are-
encourage students to learn the math facts, concepts, computational skills, as well as strategies needed to solve a variety of problemspromote the creation of efficient and adaptable problem-solving approaches; and instill adaptive arithmetical behaviors and beliefs in students.To know more about the computational skills, here
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please answer the question in the photo
Answer:no
Step-by-step explanation:
sides ab and de are equivalent and sides fd and ca are equivalent but when it comes to sides bc and ef they are not with the scale factor as 2
-1/2 is equivalent to 1/2
Answer: No
Step-by-step explanation:
No because its off by 1 point, -1/2, 0, 1/2
2. The dimensions of a desk are 36in long and 24in wide. What is the aspect ratio of the desk?
The aspect ratio of the desk is 3:2
How to calculate the aspect ratio ?
Aspect ratio can be described as the ration of the width to the height of an object
The desk is 36 inches long
The width is 24 inches
The aspect ratio can be calculated as follows
= 36/24
= 6/4
= 3/2
Hence the aspect ratio is 3:2
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can someone help me solve this problem?
Answer:
No
Step-by-step explanation:
If Q is the midpoint of PR, then PQ=QR.
[tex]5(x+2)=8x-3 \\ \\ 5x+10=8x-3 \\ \\ 3x=13 \\ \\ x=\frac{13}{3} \\ \\ \implies PQ=5\left(\frac{8}{3} +2 \right) \neq 36[/tex]
This means PQ + QR = PR isn't 72, and thus Q is not the midpoint of PR.
A cubical die is 3 m long. Find its volume. How much space does it occupy?
Answer:
27 m³
Step-by-step explanation:
Formula we use,
→ V = a³
Let's solve the problem,
→ V = a³
→ V = 3³
→ [ V = 27 m³ ]
Hence, it occupies 27 m³.
How do I do the histogram
The histogram that represents this data-set is given at the end of the answer.
What is an histogram?An histogram is a graph that shows the number of times each element of x was observed.
When measures are spaced out, such as is the case in this problem, the bins of the histogram represent an interval of values. Hence, in this problem, we consider that:
6 measures are between 160 and 220.3 measures are between 220 and 280.4 measures are between 280 and 340.3 measures are between 340 and 400.2 measures are between 400 and 460.The histogram considering these intervals is given at the end of the answer.
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slope -1/2, passes through (0, 5)
Our standard linear slope equation is:
mx + b = y
We're told our slope is 1/2, so that's our m value.
When x = 0 our value is 5. If you need this visualized, then:
1/2 * 0 +b = 5
0 + b = 5
b = 5
So our equation looks like:
x/2 + 5 = y
You are planning a vacation and have found a great rate on a hotel. The hotel is $99 per night, plus tax and a
resort fee. The expression 99(1.05)+ 25 represents the total cost of the hotel for nights. What is the tax
rate and the resort fee? Explain how you know
Answer:
resort fee is 25
tax rate is 1.05
Step-by-step explanation:
List from least to the greatest: 7/4, 1.5, √2, √4 – 0.1
Answer: 0.1, 1.5, 7/4, 2, 4
Step-by-step explanation:
4. Jennifer spent $153.36 at the mall. Sally spent $85.20.
How many
times greater is the amount that Jennifer spent than the amount that
Sally spent?
hat number of children occurred the least frequently? calculate this percent. 2, 44.8% 2, 55.2% 0, 20% 5 or more, 4.72% 5 or more, 11.91%
Only (B) 4.72% of the couples polled have 5 or more children.
What do we mean by random sample?A simple random sample (or SRS) in statistics is a subset of individuals (a sample) chosen at random from a larger set (a population) with the same probability.It is the process of selecting a sample at random. In SRS, each subset of k people has the same chance of being chosen for the sample as any other subset of k people.To find what number of children occurred the least frequently:
We know that a total of 1250 couples were polled.Determine the lowest frequency and divide it by the total number of couples surveyed.The lowest frequency corresponds to 5 or more children.The percentage is as follows:
50/1250 × 100 = 4.72Therefore, only (B) 4.72% of the couples polled have 5 or more children.
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The complete question is given below;
A random sample of 1,250 couples was asked the question, "How many children presently reside in your household?"
Number of Children—Frequency
0——250
1——-112
2——560
3 ——201
5 or more ——59
What number of children occurred the least frequently? Calculate this percent
A) 2, 55.2%
B)5 or more, 4.72%
C)5 or more, 11.91%
D)4.21.67%
What is a situation that can be represented as 4(-2)?
Thanks.
Becky decorated 144 cakes in 6 days. How many cakes did she decorate in 1 day.
Answer:
24
Step-by-step explanation:
Answer:24
Step-by-step explanation:144/6=24
there are 24 baseball teams in a league. each team plays two matches against each of the other teams, work out the total number of matches played
Answer:
I need this question too... HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
The total number of matches played is 552
How to determine the total number of matches played?The given parameters are
Teams = 24
Matches against each other = 2
So, the total number of matches played is
Total = Teams * (Teams - 1)
This gives
Total = 24 * (24 - 1)
Evaluate
Total = 552
Hence, the total number of matches played is 552
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21x21 I need real help with this.Really struggling ;)
Answer: Human calculator says 21 x 21 = 441!
Good Luck!
In the trapezoid below, EF is parallel to BC. If ED = 35, BC = 63, DC = 28,
and EF = 45, find the length of BD. Figures are not necessarily drawn to scale.
EF and BC in the trapezoid below are parallel. if ED=35, BC=63, and DC=28
Find the length of BD if EF = 45. Not all figures are rendered to scale.
A trapezoid is a quadrilateral with one pair of opposite sides parallel. It can have right angles (a right trapezoid), and it can have congruent sides (isosceles), but those are not required.
The base angles and the diagonals of an isosceles trapezoid are equal. The intersection point of the diagonals is collinear to the midpoints of the two opposite sides. Opposite sides of an isosceles trapezoid are of the same length or congruent to each other.
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