Answer:
Actual area = 21600 Sq.miles
Step-by-step explanation:
We are given;
length; L = 4 inches
Width; W = 6 inches
The scale of the map; 1 inch for every 30 miles i.e. 1 : 30
Since the scale is 1:30, let's find the find the actual dimensions and then the actual area
For the Length,
Since 1 inch represents 30 miles,
Then, 4 inches = (4 × 30)/1 = 120 miles
For the width;
Since 1 inch represents 30 miles,
Then,6 inches = (6 × 30)/1 = 180 miles
Therefore, the actual dimensions are 120 miles and 180 miles
Now, formula for area of rectangle = length × width
Thus;
Actual area = 120 × 180
Actual area = 21600 Sq.miles
i’ve gotten 4 different answers for this so if someone can help me that would be amazing
Simplifying the top:
(2* a^3 * b^5)^2 * (6ab)
4* a^6 *b^10 * (6ab)
24 *a^7 * b^11
so we have
(24 *a^7 * b^11) / (-3* a^5 *b)
immediately we can simplify 24 and -3
(-8 *a^7 * b^11) / ( a^5 *b)
a^7 and a^5 can cancel into just a^2
(-8 *a^2 * b^11) / (b)
b^11 and b cancels to b^10
-8 *a^2 * b^10
so that is your answer:
-8[tex]a^{2}[/tex][tex]b^{10}[/tex]
Help please and thank you. ❤️
Answer:
-3(x + 6)(x + 2)
Step-by-step explanation:
FACTOR
-3(x² + 8x + 12) FIND TWO #'S THAT ADD TO 8 AND MULTIPLIES TO 12
-3(x + 6)(x + 2)
what is the range set of 72,82,65,67,80,81,67
Answer:
17
Step-by-step explanation:
In this case, the data range is 82−65=17 82 - 65 = 17 .
The solution to 3x2 – 12x + 24 = 0 is .
Answer:
Its a step by step to this question with a free tip
Step-by-step explanation:
Tip: Follow bodmas rule use this order to solve these equations
B-Brackets
O-Open
D=Divide
M=Multiply
A=Add
S=Subtract
3x2 = 6
= 6 - 12x + 24 = 0
=6 -0 +24 = 12x
= 30 = 12x
=x = 2.5
the equation of a and 8 number
Answer:
8
Step-by-step explanation:
This is because the expression is already in decimal form
1+1= 2 2+2=4 4+4=8 8+8=16 16+16=32 IS THE TABLE CORRECT ?
Solve the proportions. Can you please solve this one problem for me it may not be too hard for you.
Answer: its 18, x=18
Aaron’s age is three years less than Devon‘s age the sum of their ages is 31 find each of their ages
Aaron 14 years
Devon 17 years
Step-by-step explanation:D = A + 3
D + A = 31
replace D
A + 3 + A = 31
2A = 31 - 3
2A = 28
A = 14 years
D = 17 years
A used bookstore sells hardback books and paperback books.A hardback book costs $11, including tax.A paperback book costs $5, including tax.Jamal bought 3 more paperback books than hardback books.Jamal spent $47. How many paperback books did Jamal buy? A.2 B.3 C.4 D.5
Answer:
D.5
Step-by-step explanation:
You can write the following equations from the information given:
y=x+3 (1)
11x+5y=47 (2)
x is the number of hardback books
y is the number of paperback books
You can replace (1) in (2):
11x+5(x+3)=47
11x+5x+15=47
16x=47-15
16x=32
x=32/16
x=2
Then, you can replace the value of x in (1) to find the value of y:
y=2+3
y=5
According to this, the answer is that Jamal bought 5 paperback books.
Plz answer this. Plzzzzzzzzzzzzzzzzz
Answer:
2^3×6-5÷3-3×4^-4 solving 8×1÷0×0=8÷0= 8
(2x-7)^2=64 solve for x
write the expression (6-3i)+(5+4i) as a complex number in standard form
Answer:
[tex]11+i[/tex]
Step-by-step explanation:
So we have the expression:
[tex](6-3i)+(5+4i)[/tex]
Remove the parentheses:
[tex]=6-3i+5+4i[/tex]
Combine like terms:
[tex]=6+5-3i+4i[/tex]
Add:
[tex]=11+i[/tex]
This is in standard form. a is 11 and b is 1.
And we're done!
The temperature on a cold winter day in Minnesota was-6. Which of the following situation
could explain how the temperature became -6? Select ALL that apply.*
(20 Points)
In the morning, the temperature was -2 degrees. Then, the temperature fell 4 degrees.
The temperature decreased by 4 degrees from a high of 2 degrees earlier in the day.
The temperature was 12 degrees. This temperature fell by 6 degrees as it got dark out.
At 9 a.m., the temperature was -11 degrees. By noon, the temperature had dropped 5 degrees.
At night the temperature was - 1 degree. Then, the temperature fell by 5 degrees during the next day.
The temperature was 15 degrees on Tuesday. A cold front dropped the temperature by 21 degrees at
night.
Answer:
1st,2nd,5th,6th
Step-by-step explanation:
During a trip Sara knits a scarf at the rate of 469 millimetre everyday if her trip lasts 8 days how much of the scar will she have knitted by the end of the trip
Answer:
3752mm or 3752 millimeter
Step-by-step explanation:
We are told in the question that Sara knits 469 mm everyday.
Hence, this can be expressed as:
1 day, she knits = 469 mm
8 days =
Cross Multiply
469mm × 8
= 3752mm
Therefore the amount of scarft she would have knitted after 8 days = 3752mm
When the Better Builder Company completed a small construction job, they found that the following expenses had been incurred: labor, $672.25; gravel, $86.77; sand, $39.41; cement, $180.96; and bricks, $204.35. What total bill should they give the customer if they want to make a profit of $225 on the job?
Answer: 1372.33
Step-by-step explanation: add it all up
Addition can be defined as the process of adding two numbers. The total bill Better Builder Company should give the customer if they want to make a profit of $225 on the job is $1408.74.
What is Addition?Addition can be defined as the process of adding two numbers such that the result is the combined value of the two numbers.
To make a profit the Better builder company needs to add all the expenses and the profit they need to make. Therefore, the sum can be written as,
Total Bil = $672.25 + $86.77 + $39.41 + $180.96 + $204.35 + $225
= $1408.74
Hence, the total bill Better Builder Company should give the customer if they want to make a profit of $225 on the job is $1408.74.
Learn more about Addition:
https://brainly.com/question/13167637
#SPJ2
set up and solve an equation for each problem below.
Answer:
Step-by-step explanation:
123+4 =127
A music company sells CDs for a particular artist. The company has advertising cost of $4,000 and recoding costs of $10,000; Their cost for manufacturing, royalties, and distribution are $5.50 per CD. They sell the CDs to Mage-Mart for $7.20 each
Answer:
Instructions are below.
Step-by-step explanation:
Giving the following information:
Fixed costs= 4,000 + 10,000= $14,000
Unitary variable cost= $5.5
Selling price= $7.2
To calculate the number of units to be sold to break-even, we need to use the following formula:
Break-even point in units= fixed costs/ contribution margin per unit
Break-even point in units= 14,000 / (7.2 - 5.5)
Break-even point in units= 8,235 units
In dollars:
Break-even point (dollars)= fixed costs/ contribution margin ratio
Break-even point (dollars)= 14,000 / (1.7/7.2)
Break-even point (dollars)= $59,294
Now, imagine the company requires a profit of $50,000:
Break-even point in units= (fixed costs + desired profit) / contribution margin per unit
Break-even point in units= 64,000/1.7
Break-even point in units= 37,647 units
Break-even point (dollars)= (fixed costs + desired profit) / contribution margin ratio
Break-even point (dollars)= 64,000 / (1.7/7.2)
Break-even point (dollars)= $271,059
evaluate
x
— + 6(x-12) when x=12
4
Answer:
3
Step-by-step explanation:
x=12
12/4 + 6(12-12)
12/4 +6(0)
12/4 + 0
3+0
3
9:25 y 33:41:38 a que unidades de tiempo se refieren?
Answer:
Se refieren a las unidades de tiempo del sistema sexagesimal
9:25 son 9 minutos y 25 segundos
33:41:38 son 33 horas, 41 minutos y 38 segundos.
Step-by-step explanation:
El sistema sexagesimal se utiliza para medir tiempos y ángulos.
El tiempo se mide en horas,minutos y segundos
En cambio, los ángulos se miden en grados,minutos y segundos.
Los dos puntos '':'' sirven para separar las unidades.
La base de este sistema es el número 60 :
60 segundos ⇒ 1 minuto
60 minutos ⇒ 1 hora
Eso en cuanto a tiempo
En cuanto a grados :
60 segundos ⇒ 1 minuto
60 minutos ⇒ 1 grado
Cuando tengo dos números como en 9:25 , el número de la derecha corresponde a los segundos y el de la izquierda a los minutos
Entonces, 9:25 son 9 minutos y 25 segundos
Por otro lado, cuando tengo 3 números, como en 33:41:38, el número de la derecha corresponde a los segundos, el de en medio al de los minutos y el de la izquierda al de las horas (si nos referimos a unidades de tiempo).
Entonces, 33:41:38 son 33 horas, 41 minutos y 38 segundos.
The cable is 10 feet above the roadway at horizontal distances of about from the left support.
Answer:21ft and 79ft
Step-by-step explanation:
Answer:
21 and 79 ft
Step-by-step explanation:
what is the answer to 7x-35=30+6x
Answer:
x=65
Step-by-step explanation:
you have to get all variables to one side so you would subtract 6 from seven getting one and then add 35 to 30 giving you 65 :)
Answer:
x = 65
Step-by-step explanation:
7x - 35 = 30 + 6x First subtract 6x from both sides
x - 35 = 30 Then add 35 to both sides
x = 65
Find the value of x and y (3y+5) (2x+1) 85
A x= 42 y=26.3
B x=47 y=30
C x= 42 y=30
D x=47 y= 26.3
Answer:
Step-by-step explanation:
I think the answer C x=42 y=30, correct me if i'm wrong
7x-(6x-1)=2. What is the answer?
Answer:
x=1
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
7x−(6x−1)=2
7x+−1(6x−1)=2(Distribute the Negative Sign)
7x+−1(6x)+(−1)(−1)=2
7x+−6x+1=2
(7x+−6x)+(1)=2(Combine Like Terms)
x+1=2
x+1=2
Step 2: Subtract 1 from both sides.
x+1−1=2−1
x=1
Which expression is equivalent to k+ 0.83k - 0.73k?
A.) k+ 0.1
B.)1+ 0.1k
C.)0.56k
D.)1.1k
Answer:
1.1k
Step-by-step explanation:
k+0.83k-0.73k
1.83k-0.73k
1.1k
Hope this helps ;) ❤❤❤
Match each table showing a proportional relationship between x and y with its constant of proportionality.
Answer:
Step-by-step explanation:
Just divide y by x and what ever you get is the answer
Hope this helps!
Answer:
The first one (1-4, 2-8, 3-12) belongs to 4
The second one (2-4, 4-8, 6-12) belongs to 2
The third one (4-6, 8-12, 12-18) belongs to 3/2
The last one (1-6, 2-12, 3-18) belongs to 6
Step-by-step explanation:
I divided the y numbers from the x
1) Which equations are from the 2nd degree? *
Answer:
Step-by-step explanation:
A 2nd-degree polynomial is one whose highest degree'd term is a 2. a has an x-squared as its highest power, so it is a second degree; b also has an x-squared as its highest power, so it is a second degree; e, the same; f, the samel; g, the same.
HURRY PLEASE When 5 and 6 are multiplied by the same factor, how do the ratios compare to the ratio 5:6? The ratios are equivalent to 5:6. The ratios are equivalent to 6:5. The ratios are greater than 5:6, as the factors become greater. The ratios are greater than 6:5, as the factors become greater.
Answer:
The ratios are equivalent.
Step-by-step explanation:
If you multiply both 5 and 6, the ratio stays the same.
5:6 = 10:12 = 15:18 = 20:24 etc.
You can try this by dividing the larger number by the smaller number. You'll always get 1.2 as the "relationship", or ratio, is preserved.
24/20 = 1.2
15/18 = 1.2
10/12 = 1.2
6/5 = 1.2
Simplify the following: [tex]\frac{-1(-8x - 16)}{-2 -x} = \frac{-1(-16-8x)}{-2 -x}[/tex]
which are linear pairs?
Luke drove 260 miles in 4 hours. If he continued at the same rate how far would he travel in 18 hours?
Answer:
(260/4)*18 = 1,170 miles
Step-by-step explanation: