Mai wants to make a scale drawing of her kitchen. her kitchen is a rectangle with length 6m and width 2m. She decides on a scale of 1 to 40. Mal's Kitchen door is 1.2 m wide. How wide should the door be on the scale drawing?
How wide should the door be on the scale drawing?
cm
Explain how you know
Type your response in the box below.
c. Mai's kitchen table measures 4 cm by 2.5 cm on the scale drawing.
What are the actual measurements of her kitchen table?
Type your answers in the boxes below.
Answer:
Her door should be 3cm on scale
The actual dimension of the kitchen table is
[tex]Length = 1.6m[/tex]
[tex]Width = 1m[/tex]
Step-by-step explanation:
Given
[tex]Scale= 1 : 40[/tex]
[tex]Kitchen\ Dimension= 6m\ by\ 2m[/tex]
[tex]Door\ Width = 1.2m[/tex]
Solving (a): The width of the door on the scale
Represent the scale width with x
So, we have:
[tex]1 : 40[/tex]
and
[tex]x : 1.2[/tex]
Equate both ratios
[tex]1 : 40 = x : 1.2[/tex]
Represent as fraction
[tex]\frac{1}{40} = \frac{x}{1.2}[/tex]
Solve for x
[tex]x = \frac{1.2}{40}[/tex]
[tex]x = 0.03m[/tex]
[tex]x = 3cm[/tex]
Hence, her door should be 3cm on scale
Solving (b): Actual Dimension of the kitchen table
To solve this, we simply multiply the scale dimensions by 40
[tex]Length = 4cm * 40[/tex]
[tex]Length = 160cm[/tex]
[tex]Length = 1.6m[/tex]
[tex]Width = 2.5cm * 40[/tex]
[tex]Width = 100cm[/tex]
[tex]Width = 1m[/tex]
Hence:
The actual dimension is
[tex]Length = 1.6m[/tex]
[tex]Width = 1m[/tex]
What is the distance between -5 and 2?
units
———- units
Answer:
7
Step-by-step explanation:
5+2 is the difference between the two numbers
Answer:7
Step-by-step explanation:
hope its help thanks for seeing my answe bye
ALGEBRA QUESTION THAT NEEDS ANSWER ASAP
A) 11.7
Step-by-step explanation:
sin 20/4=sin 87/c
sin 87×4=sin 20c
3.9945=0.3420c
c=3.9945/0.3420
c=11.7
PLz hurry i really need this okay
Answer:
Step-by-step explanation:
perfect squares=9,64,49
non perfect squares=24,88,6
Quick Question
a) 1 trillion means 1 000 000 000 000. Write this number in scientific notation.
b) Write one million in scientific notation.
Answer:
1 * 10^12
Step-by-step explanation:
Scientific notation is a representation of a large number in a short form. The answer, 1*10^12 (read as ten to the twelfth power) essentially says that the number when expanded is 1 with 12 zeros appended to it. If you did a number like 7 trillion you would have 7 * 10^12.
Same thing can be applied for 1,000,000 (one million).
1 * 10^6 because one million has 6 zeros appended to it.
plz help will mark brainliest
Find the domain and range of the following absolute value functions. 1 _____ f(x) = |x+6| I’ll mark u the brainliest to whoever answer first
x = > R
y = > [ 0 , infinity )
Step-by-step explanation:Domain :
f ( x ) = | x + 6 |
Clearly we can put any value for f ( x )
x = > R
Range :
Using input restriction:
For min of x = - 6
y belongs to [ 0 , infinity )
Hence we get answer.
A muffin recipe uses 1/3 cup of milk per batch. Which model shows how many batches can be made with 3 cups.
Answer: 1/3
Step-by-step explanation:
A=1/2 BH where A: area, B: base, & H: height. If the Base of a triangle is 7 ft and the Height of the triangle is 4 ft, what is the Area of the triangle? Question 12 options: 56 ft 28 ft 14 ft 37 ft
Answer:
[tex]\boxed {\tt A= 14 \ ft^2}[/tex]
Step-by-step explanation:
The area of a triangle can be found using the following formula.
[tex]A=\frac{1}{2} bh[/tex]
where [tex]b[/tex] is the base and [tex]h[/tex] is the height.
In this triangle, the base is 7 feet and the height is 4 feet.
[tex]b= 7 \ ft\\h= 4 \ ft[/tex]
Substitute the values into the formula.
[tex]A=\frac{1}{2} bh[/tex]
[tex]A=\frac{1}{2} (7\ ft)(4 ft)[/tex]
Multiply 7 ft and 4 ft.
[tex]A=\frac{1}{2} (28 \ ft^2)[/tex]
Multiply 28 square feet by 1/2 or divide 28 square feet by 2.
[tex]A= 14 \ ft^2[/tex]
The area of the triangle is 14 square feet.
Solving Absolute Value Equations: Solve 4|x+7|+8=32
What is
2
- ---- x times 15
3
If you are asking what 2/3 times 15 is its 10
Simplify 7(exponent 6) multiplied by 7 (exponent 5)
IL MARK AS BRAINLIEST PPL
Answer:
3/4 AND 4/5 are greater than 11/20
Step-by-step explanation:
multiply 3/4 by 5 and u get 15/20
milptiply 4/5 by 4 and u get 16/20
your finding the LCM and LCD
If K is the midpoint of JL , JK = 6x + 11 and KL = 16x +1, find JL.
Pls I need help
Since K is the midpoint of JL and we know that JK and KL are separate segments of JL, JK and KL are equal to each other.
6x + 11 = 16x + 1
Subtract 6x and 1 from both sides
10 = 10x
Divide both sides by 10
1 = x
We also know that:
JL = JK + KL = 6(1) + 11 + 16(1) + 1 = 6 + 11 + 16 + 1 = 34
Point O is on line segment NP. Given OP = 10, NP = 2x, and NO = x + 7,
determine the numerical length of NO.
Answer:
Step-by-step explanation:
?
Answer:
Its 24
Step-by-step explanation:
(If someone answers fast i will mark you brainliest ) Which ordered pair would form a proportional relationship with the point graphed below? (10, -20) (-30, 20) (-10, 5) (35, -20)
Answer:
(-10, 5)
Step-by-step explanation:
(10, -20), (-30, 20), (35, -20) ⇒ these points are not on the line, so they don't form a proportional relationship with the graph.
(-10, 5) ⇒ this point is on the line, so it forms a proportional relationship with the graph.
Please tell me if I'm wrong. I might be wrong, but I'm trying my best to help..
Solution for: 2 [32-(4-1)³ ]
Answer:
5
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
2[32-3^3]
2[32-27]
2×5
10
Convert this rational number
to its decimal form and round
to the nearest thousandth.
Answer:
.857
Step-by-step explanation:
6/7 = about .8571
rounded to thousandth is .857
i need help ordering this from least to greatest
What is the pattern ?
0, 1, 8, 27, 64,
Answer:
Step-by-step explanation:
1 (=1×1×1)
8 (=2×2×2)
27 (=3×3×3)
64 (=4×4×4)
What are the reasons?
Given: 3x + 1 = -14; Prove: x = -5
Statements
Answer:
x=-5
Step-by-step explanation:
Statement Reason
3x+1 =-14 Given
3x=-15 Subtraction Property of Equality
x=-5 Division Property of Equality
Originally, Juan borrowed $10, but his mother loaned him $3 more, so he borrowed a total of $13. He sells $25 worth of lemonade in his first week. After Juan pays his mother back the $13 he borrowed, his profit is $12.
Answer:
12
Step-by-step explanation:
what are the steps to simplifying radical expressions?
Answer:
Step 1: Find the prime factorization of the number inside the radical.
Step 2: Determine the index of the radical. In this case, the index is two because it is a square root, which means we need two of a kind.
Step 3: Move each group of numbers or variables from inside the radical to outside the radical. In this case, the pair of 2’s and 3’s moved outside the radical.
Step 4: Simplify the expressions both inside and outside the radical by multiplying.
Step-by-step explanation:
A town has a small theater for weekend community plays and musicals. Each weekend, the theater can sell a total of 761 tickets for their performances. What is the maximum number of tickets the theater can sell in 1 year (1 year = 52 weeks)?
Answer:
the answer of this question is 39,572
Step-by-step explanation:
i just took the assignment and it said the other number is wrong. the answer is 39,572 . your welcome :)
The maximum number of tickets to sell in one year if Each weekend, the theater can sell a total of 761 tickets for their performances, is 39572.
What is multiplication?The fundamental concept of making the same number of additions repeatedly is represented by the action of multiplication. The results of multiplying two or more integers are known as the products, and the factors that are used in the multiplication are referred to as the factors.
Given:
Each weekend, the theater can sell a total of 761 tickets for their performances,
The total number of weeks = 52,
Calculate the maximum number of tickets to sell in one year as shown below,
The maximum number of tickets to sell in one year = 52 × 761
The maximum number of tickets to sell in one year = 39572
Thus, the total number of tickets sold is 39572.
To know more about multiplication:
https://brainly.com/question/1135170
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2log50+2log2 sederhanakan dengan caranya
Answer:
4
Step-by-step explanation:
log(50×50)×log(2×2)
log (2500)×log(4)
log(2500×4)
log(10000)
log(10^4)
=4
PLZZZZZZ ANSWER
ASAP
READ QUESTIONS CAREFULLY
Answer:
7
Step-by-step explanation:
Solve the equation for y.
3X+1/5y=7
Y=
Answer:
The answer is y = -15x + 35.
Step-by-step explanation:
We want to isolate y, so we cancel everything on that side of the equals except y. We begin with the term farthest away from y, which would be 3x. Since it is positive, to cancel it we will subtract. This will give us 1/5y = 7-3x.
Next we want to cancel the 1/5. Since it is directly beside y, this means it has been multiplied; to cancel, we will divide. Divide both sides by 1/5, and we have y = (7-3x)÷(1/5). When we divide fractions, we flip the second one and multiply; this means we have y=(7-3x)*5.
Using the distributive property, we have y=7*5-3x*5, which gives us y=35-15x. We can write this as y=-15x+35.
Answer:
y = 35 - 15x
Step-by-step explanation:
Given
3x + [tex]\frac{1}{5}[/tex] y = 7 ( subtract 3x from both sides )
[tex]\frac{1}{5}[/tex] y = 7 - 3x ( multiply both sides by 5 to clear the fraction )
y = 5(7 - 3x) , that is
y = 35 - 15x
curtain investments compound interest at different intervals. What effect does the size of the compounding interval have on the yield of the investment?
As the compounding frequency increases, the yield increases as well. But there's a limit to that increase.
Consider depositing $100 into an account at 5% interest. Let's consider a timespan of 1 year. These values were picked arbitrarily.
Using the formula A = P(1+r/n)^(nt), we can find the various yield amounts when n varies
The table below shows how A changes based on the values of n. I've let P = 100, r = 0.05 and t = 1.
As n gets larger, the value of A slowly approaches 105.13 when you round to the nearest penny.
So eventually the investment yield hits a ceiling of some sort. We cannot make the investment grow forever in some fixed amount of time (in this case 1 year).
can someone help me find the final answer to this im very confused
Answer:
(7√3)/3
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relation between sides of a right triangle and angles.
Tan = Opposite/Adjacent
That means ...
tan(30°) = x/7
Multiplying by 7, we have ...
x = 7·tan(30°)
x = (7√3)/3
A line passes through the points (1,-6) and (4,3) What is the Y intercept of this line?
Answer: b=-9
Step-by-step explanation:
To find the y-intercept of the line, we can use the points given to make an equation. To find the slope, you use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].
[tex]m=\frac{3-(-6)}{4-1} =\frac{9}{3} =3[/tex]
Now that we know the slope, we can fill in what we know and solve for y-intercept.
y=3x+b
We can plug in any point to solve for y-intercept.
3=3(4)+b [multiply]
3=12+b [subtract both sides by 12]
b=-9
Now, we know that the y-intercept is b=-9.