Answer:
12 inches i think
Step-by-step explanation:
because 21 ft = 252 ''
1.75* 12 = 21 ft
252/21 = 12ft
but im not 100% sure, I'll let yk once
I find out..
If The length of the room is 21 inches on the architect’s plan the actual length of the room is in feet if the scale of the plan is 1.75 inches to 1 foot is 36.75 feet.
What is the scale factor?It is defined as the multiplication factor used for the design of an object with respect to some other object . the scale is generally used to design prototype designs of large objects. It is also used in interior design planning rooms.
It is multiplied by the design dimension to get the actual size of the object or product.
For the given question an interior designer is planning a room but needs to first figure out the dimensions. The length of the room is 21 inches on the architect’s plan. the scale of the plan is 1.75 inches to 1 foot means the scale factor is 1.75
The actual length of the room = 1.75 ×21
= 36.75 feet
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In a triangle ABC, with angles A, B, and C and sides AB, BC, and AC, angle B is a right (90°) angle. If the sin of angle A is 0.5 and side BC is 8 inches long, what is the length of side AC?
1/3 and 7/9 rewrite using the least common denominator
To rewrite 1/3 and 7/9 using the least common denominator, you need to find the smallest number that both 3 and 9 can divide evenly into. The least common denominator (LCD) of 3 and 9 is 9. Rewrite the fractions as 3/9 and 7/9, respectively.
Explanation:To rewrite the fractions 1/3 and 7/9 using the least common denominator, we need to find the smallest number that both 3 and 9 can divide evenly into. The least common denominator (LCD) of 3 and 9 is 9. We can now rewrite the fractions:
1/3 becomes 3/9 (multiply the numerator and denominator by 3)7/9 remains the sameSo, 1/3 and 7/9 can be rewritten as 3/9 and 7/9, respectively, using the least common denominator.
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John has read the first 114 pages of a novel. He has read 3 pages less than one-third of the novel.
Write an equation to describe the total number of pages p in the novel, and find the value of p.
Write the time 12 hours after 8 p.m. use an or pm
The product of eight minus a number and seven equals forty when decreased by five. Which equation represents the sentence?
Is the following relation a function?
X Y
6 -1
-1 2
4 3
0 3
Yes or no
12x=4(x-5) then x equals?
Calculate the area of a circle with a radius of 5
Mark is solving the following system.
x+y+z=2 (1)
3x+2y+z=8 (2)
4x-y-7z=16 (3)
Step 1: He multiplies equation (1) by 7 and adds it to equation (3).
Step 2: He multiplies equation (3) by 2 and adds it to equation (2).
Which statement explains Mark’s mistake?
- He added equation (3) instead of equation (2) in step 1.
- He did not multiply equation (3) by the correct value.
- He did not eliminate the same variables in steps 1 and 2.
- He added equation (3) and equation (2) instead of subtracting.
Solving the system of linear equations Mark tries to apply elementary transformations in order to eliminate one variable.
He makes such steps:
1. He multiplies equation (1) x+y+z=2 by 7 and adds it to equation (3) 4x-y-7z=16. This gives him:
7x+7y+7x+4x-y-7z=14+16,
11x+6y=30.
2. He multiplies equation (3) 4x-y-7z=16 by 2 and adds it to equation (2) 3x+2y+z=8. This step gives him:
8x-2y-14z+3x+2y+z=32+8,
11x-13z=40.
Thus, he did not eliminate the same variables in steps 1 and 2.
Answer: correct choice is C
Solve x2 + 10x = −21.
Select one:
a. x = 7 and x = 3
b. x = −7 and x = −3
c. x = −7 and x = 3
d. x = 7 and x = −3
Question. I have some math problems that I really need help with and this is all new to me. The direction are as follows:
Combine like terms 7x4 -5x4 the number four is square root. I don't understand at all what to do. Please help.
Answer:
-7 + x + 4 + 4x = x - 3 + 6 + 3x
Step-by-step explanation:
what is the equivalent ratio to 12:20
Is this sequence arithmetic, geometric or neither? 4, 8, 16, 32, 64,...
Answer:
geometric sequence
A college class with 30 sophomores, 18 juniors, and 12 seniors is
divided into project groups where each group has the same number
of sophomores, juniors, and seniors. What is the greatest number of
groups that can be formed? How many sophomores, juniors, and
seniors are in each project group?
The maximum number of project groups can be formed is 5 and the number of sophomores, juniors, and seniors within each group will be 5, 3 and 2 respectively.
To find the greatest number of groups that can be formed with the given distribution of students,
Identify the common factor: The greatest common factor of 30, 18, and 12 is 6.
Calculate groups: Divide each class by 6: 30 sophomores ÷ 6 = 5, 18 juniors ÷ 6 = 3, and 12 seniors ÷ 6 = 2. Therefore, the maximum number of groups that can be formed is 5.
An algebraic expression has parentheses with unlike terms inside. Explain how to simplify this algebraic expression if a minus sign is in front of the parentheses.
Answer:
The expression can be simplified by distributing the minus sign to each of the terms inside of the expression.
Step-by-step explanation:
at her job, mary works 4 hours on monday, 3 hours on wednesday, and 6 hours on saturday. her boss adds a $10 bonus to her paycheck, which then totals $120.50. what is mary's hourly pay?
a. $8.50
b. $9.27
c. $5.24
d. $8.05
During the National Football League’s 1999 season, Troy Aikman, the quarterback for the Dallas Cowboys, earned $0.467 million more than Deion Sanders, the Cowboys cornerback. Together they cost the Cowboys $12.867 million. How much did each player make?
Troy Aikman make 6667000 and Deion Sanders makes 6200000 for the Cowboys cornerback.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
Troy Aikman, the quarterback for the Dallas Cowboys, earned $0.467 million more than Deion Sanders
Let Deion Sanders earning is x.
Troy Aikman earning is x+467000
Together they cost the Cowboys $12.867 million
x+x+467000=12867000
2x+467000=12867000
Subtract 467000 on both sides
2x=12867000-467000
2x=12400000
Divide both sides by 2
x=6200000
So Troy Aikman make 6200000+467000=6667000 and
Deion Sanders makes 6200000
Hence Troy Aikman make 6667000 and Deion Sanders makes 6200000 for the Cowboys cornerback.
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Which sequence of transformations creates a similar, but not congruent, triangle?
Rotation and translation
Reflection and rotation
Dilation and rotation
Translation and reflection
Answer:
I checked and D isn't the right answer I tried it on the test and got it wrong but I guessed the second time and I got it right so the real answer is Dilation and rotation.
Which of the points shown below are on the line given by the equation y = 5x? Check all that apply.
A. Point A: (5, -1)
B. Point B: (1, 5)
C. Point C: (0, 0)
D. Point D: (-3, 2)
The correct Options are B and C.
What is Function of graph ?The collection of all points in the plane with the form (x, f(x)) that make up a function f's graph. We may alternatively say that the graph of f is the graph of y = f. (x). As a result, the graph of an equation is a particular instance of the graph of a function. Allow f(x) to equal x2 - 3.The graph is a function if a vertical line drawn across it is moved and only ever touches it at one point.To solve y = 5x we check all options in equation by value putting.
let y = 5x .......................(1)
Put point A ( 5, -1) in equation (1)
So, x = 5 & y = -1
y = 5x ⇒ -1 = 5 ×5= 25
Put point B (1,5) in equation (1)
So, x = 1 & y = 5
y = 5x ⇒ 5 = 5 × 1 = 5
Put point C (0,0) in equation (1)
x = 0 & y = 0
y = 5x ⇒ 0 = 5 × 0 =0
Put point D ( -3 ,2) in equation (1)
x = -3 & y = 2
y = 5x ⇒ 2 = -3× 2 = -6
In all these points , B & C points are have same value on both side.
So, we can say that b&c are the points which are shown on the line.
Therefore, The correct Options are B and C.
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break apart and distribute to solve 72÷8
72÷8=(40÷8)+(32÷8)
9=5+4
9=9
Answer:
72 ÷ 8 is equal to 9
Step-by-step explanation:
If we want to solve 72 ÷ 8 by breaking apart and distributing, the first step is to write the number ''72'' as the sum or subtraction of two numbers that are divisible by ''8''.
We can write :
[tex]72 = 40+32[/tex]
If we replace this last expression in the original one :
72 ÷ 8 = (40 + 32) ÷ 8 (II)
Now in (II) we can use the distributive property of the division :
(40 + 32) ÷ 8 = (40 ÷ 8) + (32 ÷ 8) (III)
Finally, we need to solve the expression (III) :
(40 ÷ 8) + (32 ÷ 8) = 5 + 4 = 9
We find that 72 ÷ 8 is 9 by breaking apart and then distributing.
In 1991, the federal minimum wage rate was $4.25 per hour. In 1997, it was increased to $5.15. Find the annual rate of change in the federal minimum wage rate from 1991 to 1997
The annual rate of change in the federal minimum wage rate from 1991 to 1997 is $0.15 per year.
Explanation:The annual rate of change in the federal minimum wage rate from 1991 to 1997 can be found by calculating the difference between the final and initial values, and then dividing it by the number of years.
Initial value in 1991: $4.25
Final value in 1997: $5.15
Difference: $5.15 - $4.25 = $0.90
Number of years: 1997 - 1991 = 6 years
Annual rate of change: $0.90 / 6 = $0.15
Therefore, the annual rate of change in the federal minimum wage rate from 1991 to 1997 is $0.15 per year.
Suppose f is continuous on [1,5] and the only solutions of the equation f(X)= 6 are x=1 and x=4. If f(2)=8, explain why f(3)>6. ...?
Given the conditions of the continuous function f and the equation f(X) = 6 where X = 1 and X = 4, f(3) must be greater than 6 because of the utilization of the Intermediate Value Theorem.
Explanation:The question is about the function f which is continuous on the interval [1,5]. The given conditions are that the solutions of the equation f(X) = 6 are x = 1 and x = 4 and that f(2) = 8 which is greater than 6. By the Intermediate Value Theorem (IVT), since f is continuous on [1,5] and f(2) = 8 > 6 and we have that f(x) = 6 for x = 1 and x = 4, then by the IVT we should have a point f(c) = 6 for some c in the interval (2,4). Hence, it means that f(3) could be equal to 6 or be more than 6, but since we know the only solutions are x = 1 and x = 4, f(3) cannot be equal to 6 and thus f(3) must be greater than 6.
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In which case do you need to reverse the inequality sign when solving an inequality?
when adding or subtracting a negative number
when multiplying or dividing by a negative number
when there is a line under the equality symbol
where there is no line under the equality symbol
Goran rented a truck for one day. there was a base fee of $15.99, and there was an additional charge of 96 cents for each mile driven. goran had to pay $288.63 when he returned the truck. for how many miles did he drive the truck?
How many days equals 7344 minutes??
Answer:
as a decimal: 5.1
The area of a triangle is 25 sq cm and the base of the triangle is 5 cm. Which equation could be used to find the height of the triangle?
A.
B.
C.
D.
40 is rounded to the nearest whole write down the maximum possible length it could have been
The maximum length the number could have been before being rounded down to 40 is just under 40.5 since that is the point at which it would round up to 41.
Explanation:The question pertains to rounding numbers to the nearest whole number. When rounding the number 40 to the nearest whole, we'd like to find the maximum length it could have been before rounding down. The process of rounding will round a number to the nearest whole number based on the decimal value. For instance, if you are rounding to the nearest whole number, a number with a decimal part of 0.5 or higher will round up, while a number with a decimal part of less than 0.5 will round down.
Given that 40 is already a whole number, this implies it could have been rounded down from a number up to one decimal less than 40.5 since any number 40.5 and above would round up to 41. Hence, the maximum possible length it could have been before rounding down is just under 40.5.
Charlie needs to simplify the
Answer:
d
Step-by-step explanation:
Traveling at 45 miles per hour, how many minutes, rounded to the nearest whole number, does it take to drive 240 miles from Orlando to Miami?
a. 5
b. 195
c. 285
d. 320
Two numbers are 10 units away in different directions from their midpoint, m, on a number line. The product of the numbers is –99.
Which equation can be used to find m, the midpoint of the two numbers?
(m – 5)(m + 5) = 99
(m – 10)(m + 10) = 99
m2 – 25 = –99
m2 – 100 = –99
The equation can be used to find m, is [tex]m^{2} -100 = -99[/tex].
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
According to the given question.
We have two numbers.
Both are 10 m away from their midpoint, m.
Therefore,
If the first number is ( m + 10).
Then the second number will (m-10).
Also it is given that the product of these two numbers is 99.
⇒ [tex]( m + 10)( m - 10) = -99[/tex]
⇒ [tex]m^{2} -10m + 10m -100 = -99[/tex]
⇒ [tex]m^{2} - 100 = -99[/tex]
Hence, the equation can be used to find m, is [tex]m^{2} -100 = -99[/tex].
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