Answer:
b)in order to do that you have to write out your problem using a proportional relationship. you start with picking out your scale factor and then you use that to calculate your enlargement. lets say your scale factor is 3:1.
3/1=x/21 x=63
c) 5/1=x/21 x=105 the appx. area of the park in the enlarged drawing will be 105ft sq
d)I identified the scale factor in each problem and then applied it to each of the separate situations in order to enlarge or reduce an amount/ image.
Step-by-step explanation:
The approximate area of the park of the park in your enlarged drawing is given by A = 105 inches²
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the proportion be represented as A
Now , the value of A is
The area of the map = 21 inches²
And , the scale factor of proportion is 5 : 1
So , the area of the drawing is given by
A / 21 = 5 / 1
Multiply by 21 on both sides , we get
A = 105 inches²
Therefore , the value of A is 105 inches²
Hence , the area of the drawing is 105 inches²
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Question
Solve the equation.
−8(y+9)=−40
y=?
Answer:
y+9= -40/-8
y+9= 5
y=5-9
y= -4
A chef made 150 cups of chili and sold 60% of it. A serving size of the chili is 1 2/3 cups. How many servings of the chili were sold.
(Unit: expressions & equations)
150× 60% ÷ 1⅔
150×60/100 ÷ 5/3
15 × 6 ×3/5
3 × 18
54
54 servings of the chili were sold.
The number of cups of chili that he sold will be will be 90 cups. Then the number of servings of the chili sold will be 54.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.
A chef made 150 cups of chili and sold 60% of it. Then the number of cups of chili that he sold will be calculated as,
⇒ 60% of 150
⇒ 0.60 x 150
⇒ 90 cups
The serving size of the chili is 1 ²/₃ cups.
Convert the mixed fraction number into a fraction number, then we have
1 ²/₃ cups = 1 + 2/3
1 ²/₃ cups = 5/3 cups
Then the number of servings of the chili sold will be calculated as,
⇒ 90 / (5/3)
⇒ 90 x (3 / 5)
⇒ 18 x 3
⇒ 54
The number of cups of chili that he sold will be will be 90 cups. Then the number of servings of the chili sold will be 54.
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In what ways was Brian struggling for survival in the first two chapters (both physically and emotionally)? Use RACE to respond. Book is HATCHET.
Answer:he used the hatchet by making a fire
Step-by-step explanation:
Julia decides to sell the baskets she doesn’t have room for. If she bought each of them for $8.50 and sells them for $12, what is percent of markup? What is her overall profit?
Given:
Cost = $8.50,Selling price = $12.00.Find markup:
$12.00 - $8.50 = $3.50Percent of markup:
3.50/8.50 × 100% = 41.18% (rounded)The number of baskets is not given. If it is x, then total profit is:
3.5x dollarsGiven:
Cost = $8.50,
The selling price = is $12.00.
Find markup:
$12.00 - $8.50 = $3.50
Percent of markup:
3.50/8.50 × 100% = 41.18% (rounded)
The number of baskets is not given. If it is x, then the total profit is:
3.5x dollars
Step-by-step explanation:
Sam’s Soups is open 6 days a week, 76 hours in all. Its hours are the same every day, except on Saturday and Sunday. On those days, it is open 2 hours longer. How long is Sam’s Soups open on Sunday? Use an equation to solve.
The number of hours that Sam’s Soups is open on Sunday will be 14 hours.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Sam's Soups is open 6 days per week, 76 hours altogether. Its hours are similar consistently, besides on Saturday and Sunday. On those days, it is open 2 hours longer.
Let 'x' be the number of hours spent on Saturday and Sunday. Then the equation is given as,
x + x + (x - 2) + (x - 2) + (x - 2) + (x - 2) = 76
Simplify the equation, then we have
6x - 8 = 76
6x = 84
x = 14 horus
The number of hours that Sam’s Soups is open on Sunday will be 14 hours.
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i need the answer to this please ;) and quick
Answer: Yes
Step-by-step explanation:
10: 10, 20, 30, 40, 50 , 60, 70, 80 , 90, 100, 110, 120
12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120
Both have 120 as a common multiple.
Which net represents the three-dimensional figure shown on the right? Will give brainliest!
Answer:
Looks like the top left
Answer:
It's the 1st one from the left!
Step-by-step explanation:
PLEASE HELP!!!!!!!!!!!!!!!!!
WILL MARK BRAINLIEST
What is 5,890,000 in Scientific Notation?
Answer:
5.89 x 10^6
The purpose of scientific notation is for scientists to write very large, or very small, numbers with ease.
Calculating scientific notation for a positive integer is simple, as it always follows this notation:
a x 10b
Follow the steps below to see how 5,890,000 is written in scientific notation.
To find a, take the number and move a decimal place to the right one position.
Original Number: 5,890,000
New Number: 5.890000
count how many times you moved the decimal and that's your power
in this case it's ^6
A toy company's total payment for salaries for the first two months of 2012 is $40,765. Write and solve an equation to find the salaries for the second month if the first month’s salaries are $10,205.
Answer:
its D
12,455 + x = 23,894
x = 10,560
Step-by-step explanation:
Let's say that the variable 'x' represents the salaries for the second month, so out equation would be:
10,205 + x = 23,894
To solve, we must isolate the variable by subtracting 12,455 from both sides:
10,205 + x = 23,894
-10,205 -10,205
x = 10,560
So, the second month's salary was $10,560
Step-by-step explanation:
Answer: x = $30,560
Step-by-step explanation:
1. Let the second month payment be x
2. The first month + The second month = both of the months
3. So substituting: 10,205 + x = 40,765
4. Subtract 10,205 from both sides: x = 30,560
At a school cafeteria, a staff person surveyed the food preferences of 35 students. For every five students, two said they liked liked heathy food. How many students preferred heathy foods.
Answer: 14 students.
Step-by-step explanation:
how many least common multiples of 10 and 12 are there one or infinitely many- 20 points to answer quickly
Answer:
Step-by-step explanation:
Least Common Multiple of 10 and 12 = 60 Step 1: Find the prime factorization of 10 10 = 2 x 5 Step 2: Find the prime factorization of 12.
Hi there! Please help me asap and explain how you did it... Tysm!♡♡
Answer:
A = ( -1 , 4 )
B = ( -4 , 3 )
C = ( -2 , 1 )
Explanation:
You basically just flip it along the line like a mirror would
A = ( -1 , 4 )
B = ( -4 , 3 )
C = ( -2, 1 )
Basically, you match the coordinates of the image to the other part and see the new coordinates. It's like seeing something in a mirror, but with a different view.
(Hope it helps!)
Graph this function: y=|x–3|+3
Answer:
Here is the graphed visual of the equation.
Caleb earns $_____ per hour_______ than Hassan.
^
more or less
Answer:Caleb earns $24 per hour more than Hassan
Step-by-step explanation:
819.40/34=24.08 rounded to 24
Hassan makes 21.5 per hour
Answer:
Caleb earns $2.6 per hour more than Hassan.
Step-by-step explanation:
eg:
Hassan: $21.5 = 1hr
Caleb: $819.40 = 34hr
819.40 ÷ 34 = $24.1 (earned by Caleb per hour)
$24.1 - $21.5 = $2.6 (more than Hassan)
What does pemdas stand four ??
Answer:
Parentesis
Exponent
Multiplication
Division
Addition
Subtraction
Step-by-step explanation:
Answer: PEMDAS stands for parenthesis, exponents, multiplication, division, addition, subtraction
True or false, the fractions ¾ and 6/8 are equivalent.
A. True
B. False
Answer: A. True
Step-by-step explanation:
what is the answer for 5/8x + 4 = 3/8x + 12
Answer:
x=32
Step-by-step explanation:
Answer:
x = 32
Step-by-step explanation:
another math question because i do not understand math at all
Answer:
8/15
Step-by-step explanation:
There is absolute value, so the a and b become positives.
But there is a negative on the outside, meaning - (a+b)
So:
-1 2/3 - 1
______
2 - (-3)
Then..
-2 2/3
______
5
You can convert each number to a complete fraction and use keep change flip.
2 2/3 = 8/3 and 5 = 15/3
8/3 divided by 15/3 is..
8 x 3
_. _
3. 15
You can cancel out the 3's and then multiple 8/1 x 1/15
That equals 8/15, since you can't simplify it anymore.
Mr. Chin asked his class to solve for y in the equation 8(3y - 5) = 9(y - 5) -1. Explain how to solve for y. Then solve.
Answer:
[tex]\Huge \boxed{\boxed{\bf{y = -\frac{2}{5} }}}[/tex]
Step-by-step explanation:
To solve for [tex]\tt{y}[/tex] in the equation [tex]\tt{8(3y - 5) = 9(y - 5) - 1}[/tex], we'll need to simplify and isolate the variable.
Let's start by distributing the 8 on the left side and the 9 on the right side of the equation:
[tex]\tt{8(3y - 5) = 9(y - 5) - 1}[/tex][tex]\tt{24y - 40 = 9y - 45 - 1}[/tex]Next, we'll combine like terms on both sides of the equation:
[tex]\tt{24y - 40 = 9y - 46}[/tex]To isolate the variable, we'll move all the terms involving y to one side of the equation. Let's subtract 9y from both sides:
[tex]\tt{24y - 9y - 40 = 9y - 9y - 46}[/tex]Simplifying further, we have:
[tex]\tt{15y - 40 = -46}[/tex]To isolate "y," let's add 40 to both sides:
[tex]\tt{15y - 40 + 40 = -46 + 40}[/tex]Simplifying, we get:
[tex]\tt{15y = -6}[/tex]Finally, we can solve for "y" by dividing both sides of the equation by 15:
[tex]\tt{\frac{15y}{15} = \frac{-6}{15}}[/tex]Simplifying the equation, we have:
[tex]\tt{y = -\frac{2}{5} }[/tex]So, the solution to the equation is y = -2/5.
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________________________________________________________
Full Steps[tex]\bf{8(3y - 5) = 9(y - 5) - 1}[/tex][tex]\tt{24y - 40 = 9y - 45 - 1}[/tex][tex]\tt{24y - 40 = 9y - 46}[/tex][tex]\tt{24y - 9y - 40 = 9y - 9y - 46}[/tex][tex]\tt{15y - 40 = -46}[/tex][tex]\tt{15y - 40 + 40 = -46 + 40}[/tex][tex]\tt{15y = -6}[/tex][tex]\tt{\frac{15y}{15} = \frac{-6}{15}}[/tex][tex]\tt{y = -\frac{2}{5} }[/tex]________________________________________________________
BRAINLIEST Which net represents the three-dimensional figure shown on the right?
The net represents the three-dimensional figure is
2(1/2 x 3 x 4) + 4 x 2 + 3 x 2 + 5 x 2
The correct option is C.
What is Expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows:
Expression: (Math Operator, Number/Variable, Math Operator)
We know that the formula for calculating the Area of prism is
= 2 ( base x height) + (s1 + s2 + s3) length
But according to the given figure we have to
= length x width + 3 x width x height
= ab + 3bh
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Sam’s Soups is open 6 days a week, 76 hours in all. Its hours are the same every day, except on Saturday and Sunday. On those days, it is open 2 hours longer. How long is Sam’s Soups open on Sunday? Use an equation to solve.
Answer:
14 hours
Step-by-step explanation:
Let x be the number of hours open on each of the four days (because it is six days per week) that are not Saturday or Sunday. Thus, the total number of hours on those days would be 4x. Then, we are told that Sam's Soups are open 2 hours longer on Saturdays and Sundays, so that would be x + 2. There are two of those days, so that would be 2(x + 2). Since all of these hours total 76, we have our equation:
4x + 2(x + 2) = 76
4x + 2x + 4 = 76
6x = 72
x = 12
Remember, 12 hours is the number of hours that Sam's Soups is open on days that are not Saturday and Sunday. Those days are x + 2. Thus, that is 12 + 2 = 14 hours.
Answer:
14 hours
Step-by-step explanation:
x = hours on day other than saturday and sunday
y = hours on Saturday and Sunday.
Sam's soups are only open 6 days a week, and 2 are weekends, so it is only open on 4 weekdays.
4x + 2y = 76
We know the hours on Saturday and Sunday are 2 hours more than the weekday hours.
So,
y = x + 2
Substituting that back into the original equation,
4x + 2(x+2) = 76
4x + 2x + 4 = 76
6x = 72
x = 12
y = 14
So Sam's Soups is open 14 hours on Sunday.
Graphing Linear Equations in Standard Form
Answer:
y=-3/4x-3
Step-by-step explanation:
because you need to make it into graphing forms so you would transfer the 3 over and divide the 3 and the 12 to get y=-3/4x-3
Check that 12g is equivalent to 48%.
Answer:
See answers in the picture below.
Step-by-step explanation:
Write a situation that matches the diagram, or make a diagram that matches the situation.
Use the picture I posted and draw/write (clearly) the correct answer.
Thank you! This needs to be done by today and quick.
so uh...which picture?
I love you guys, I really rely on brainly, which probably isnt a good thing but here we are lol. Heres my question
Answer: d=36
Step-by-step explanation:
9/2=4.5
36/8=4.5 :)
Which expression can be used to find the surface area of the triangular prism? Will give Brainliest!
Answer:
C
Step-by-step explanation:
It is usually A= 1/2 B*H which 1/2*3*4 in parentheses would fit this, but im not 100% sure!
what is the answer for 5/11x + 2/3x - 1/6x = -189
Answer:
x = -198
Step-by-step explanation:
5/11 x + 2/3 x - 1/6 x = -189
66(5/11x + 2/3x - 1/6x) = 66(-189)
30x + 44x - 11x = -12474
63x = -12474
x = -198
Answer:
x = -210
Step-by-step explanation:
[tex]\frac{5}{11x} + \frac{2}{3x} - \frac{1}{6x} = -189[/tex]
[tex]\frac{37}{33x} - \frac{1}{6x} = -189[/tex]
[tex]\frac{21}{22x} = -189[/tex]
0.9x = -189
[tex]x = \frac{-189}{0.9}[/tex]
x = -210
The amount of money you spend on x CDs and y DVDs is given by the equation 14x+18y=126. Find the intercepts.
Need this soon please
Answer:
The y intercept is (0,7) The x intercept is (9,0)
Step-by-step explanation:
You set the x to zero if you want the y intercept and vice versa for the x intercept.
14x+18y=126 y intercept
14(0)+18y=126
0+18y=126
18y=126 divide by 18
y=7
do the same thing for the x intercept except set the y to 0
The frequency table shows how many visits to the library students in a school have made in the last month.
Visits Frequency
0 7
1 54
2 142
3 276
4 92
5 23
Work out the mean.
Give your answer rounded to 1 DP.
If the product of 6 integers is negative, at most how many of the integers can be negative?
Answer: 5 negatives
Step-by-step explanation: