Answer:
x =-4
Step-by-step explanation:
[tex]12 - 3x = -6x[/tex]
Step 1 ; Collect like terms . (put the numbers with variables on one side of the equation and ordinary numbers on the other side )
[tex]12 =-6x+3x[/tex]
Note ; When a number is crossing over an equality sign ; the sign will always change
Step 2 ;
Simplify
[tex]-6x +3x =-3x\\\\ 12=-3x[/tex]
Step 3 ; Divide both sides of the equation by -3
[tex]\frac{12}{-3} = \frac{-3x}{-3} \\\\-4 = x[/tex]
Switch sides
[tex]x =-4[/tex]
4. A marathon is 42.195 km, how many miles is this
Answer:
26.2244 mi
Step-by-step explanation:
Step 1: Find conversion
1 mi = 1.609 km
Step 2: Use Dimensional Analysis
[tex]42.195 \hspace{2} km (\frac{1 \hspace{2} mi}{1.609 \hspace{2} km} )[/tex]
26.2244 mi
An interior designer charges $100 to visit a site, plus $55 to design each room. Identify a function that represents the total amount he charges for designing a certain number of rooms. What is the value of the function for an input of 6, and what does it represent?
Answer:
C(r) = 100 + 55r
C(6) = $430
Step-by-step explanation:
Fixed charges = $100
Charges per room = $55
A. function that represents the total amount he charges for designing a certain number of rooms.
Let
r = number of rooms
C = Total amount charged
C(r) = 100 + 55r
The function is C(r) = 100 + 55r
B. What is the value of the function for an input of 6, and what does it represent
C(r) = 100 + 55r
When r = 6
C(6) = 100 + 55 * 6
= 100 + 330
= 430
C(6) = $430
This means that the amount charged for 6 rooms is $430
alan has 12 books, vadim has 18 books. What is the ratio of the number of books they have altogether to the number of books Vadim has
Answer:
5 to 3 ratio
Step-by-step explanation:
Vadim has 18 books. The total books is 30.
30 to 18 simplified is 5 to 3.
0.03460 as a fraction.
Answer:
173/5000
Step-by-step explanation:
Tell me if correct
Answer:
91/2500
Step-by-step explanation:
Step 1:
0.03460/1
Step 2:
0.346/10
Step 3:
3.46/100
Step 4:
34.6/1000
Step 5:
346/10000
Answer:
91/2500
Hope This Helps :)
The student to faculty ratio at a small college is 17:3 the total number of students and faculty is 740. How many faculty members are there at the college?
Answer:
111
Step-by-step explanation:
It is given that the student to faculty ratio at a small college is 17:3.
Let number of students and faculty members are 17x and 3x respectively.
It is given that total number of students and faculty is 740.
[tex]17x+3x=740[/tex]
[tex]20x=740[/tex]
Divide both sides by 20.
[tex]x=37[/tex]
Number of student [tex]=17\times 37=629[/tex]
Number of faculty members [tex]=3\times 37=111[/tex]
Therefore, there are 111 faculty members at the college.
Answer:
102(D.)
Step-by-step explanation:
Find the distance d(A,B) between points A and B.
A(7-5); B(7,5)
Answer: d(A,B)=
Simplify your answer. Type an exact answer...
Answer:
The answer is 10 unitsStep-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
A(7-5); B(7,5)
The distance between them is
[tex]d = \sqrt{ ({7 - 7})^{2} + ({ - 5 - 5})^{2} } \\ = \sqrt{ {0}^{2} + ( { - 10})^{2} } \\ = \sqrt{100} [/tex]We have the final answer as
10 unitsHope this helps you
Jacob cut a 126 centimetre rope into 4 equal pieces. How long is each new piece of rope
Answer:
31.5 centimetre
Step-by-step explanation:
126/4 = 31.5
Which values are solutions to the inequality –3x – 4 < 2? Check all of the boxes that apply. -4 -2 0 3
Answer:
0 and 3
Step-by-step explanation:
all you have to do is plug the numbers for x
so -3 x 0=0
-3 x 3=-9 then minus 4 equals -13
the others are bigger than 2
Answer:
0 and 3
Step-by-step explanation:
Jeremy and Karina are playing the "Integer Card Game". Jeremy drew three cards, -1, 8, and - 3.
What is the sum of the cards in his hand?m?
Answer:
3
Step-by-step explanation:
Answer:
-1 + 8 + (-3) = 4
Step-by-step explanation:
A product at the grocery store is priced $12.84 for 6 ounces. What is the cost per ounce?
Answer:
Step-by-step explanation:
$12.84/6 = $2.14 per ounce
5 x [3 x (-2) - 10] i need the answer step by step please
Answer:
-80
Step-by-step explanation:
5×(-6 - 10)
5×(-16)
-80
solve by using BODMAS rule
Answer: -80
First step is to calculate everything inside the brackets = [3× (-2) -10] = [(-6) - 10] = [(-16)] then we now multiply the number outside the brackets with the number inside the brackets which = 5[-16] = -80.
The volume of a box is 400 in.³ if the height is 10 inches and the length is 8 inches what is the width of the box
Answer:
5
Step-by-step explanation:
Step 1:
10 × 8 × x = 400
Step 2:
80 × x = 400
Step 3:
x = 400 ÷ 80
Answer:
x = 5
Hope This Helps :)
(f- g)(x) =
A. x2 + x-4
B. x2 + x + 4
C. 12- X+6
D. x2+x+6
Step-by-step explanation:
I rlly think it is c.12-×+4
PLEASE HELP QUESTION IS ON THE ATTACHMENT !!
Answer:
C.
Step-by-step explanation:
The Robinson family is having new carpet installed in the dining room the carpet cost $299 for insulation and $15 for each square yard how many square yards of carpet can be installed at the total cost is $674
Subtract the fee from the total:
674 - 299 = 375
Now divide by the cost per square yard:
375 / 15 = 25
The answer is 25 square yards.
Answer:
45 square yards
Step-by-step explanation:
divide 674 by 15
what is the correct domain of h
the correct domain oh h is C
lines L and M are parallel lines cut by the transversals line t. which angle is congruent to angle 5
Answer:
When two lines are cut by a transversal, the pairs of angles on one side of the transversal and inside the two lines are called the consecutive interior angles . If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles formed are supplementary
Step-by-step explanation:
Answer:
It is 34 degrees.
Step-by-step explanation:
Got it right on the quiz. Good luck.
Edit: The link led to a different question but others may want the answer to the quiz they looked for so here is the answer to that question.
Q: Lines l and m are parallel. When they are cut by the two transversals below, a triangle is formed.
Parallel lines l and m are intersected by lines s and t. A triangle has angles 1, 2, 40 degrees. The exterior angle to angle 1 is 74 degrees.
What is Measure of angle 2
34 degrees
40 degrees
74 degrees
146 degrees
A: 34 Degrees
YR 8 MATHS PLS HELP!!!!!!
Answer:
6.54
Step-by-step explanation:
you have to add up all of the numbers then divide by how many numbers there are to get the mean
Answer:
6.54
Step-by-step explanation:
Add up all thee numbers:
11+11+5+6+6+11+04+8+2+5+7+9=85
Divide by how many numbers there are:
85/13=6.538
6.54
What is the answer? 1/2 + 1/7 =?
Answer:
9/14
Step-by-step explanation:
Just Multiply the numerator and denominator of both fraction with the opposite denominator for the denominators to become the same. Since they have aa common denominator, you can just add the numerators to get 9/14.
A ____________________number can be expresses as a/b where a and b are integers and b does not equal 0.
Answer:
Rational Number
Step-by-step explanation:
A rational number : A number that can be in the form of
q /p , where p and q are integers and q is not equal to zero.
Answer:
A rational number : A number that can be in the form of p/q, where p and q are integers and q is not equal to zero
Step-by-step explanation:
Plz Mark me as brainliest
Which two ratios represent quantities that are proportional?
A 22/33 and 14/21
B 48/60 and 35/42
C 25/28 and 5/7
D 16/13 and 13/16
Please help
The two ratios represent proportional quantities is A: 22/3 and 14/21 = 1/3
When do two ratios form a proportion?Two ratios form a proportion if the simplified form of both ratios comes out as the same ratio. Suppose that we've got two quantities with measurements as 'a' and 'b' Then, their ratio(ratio of a to b) a:b
We usually cancel out the common factors from both the numerator and the denominator of the fraction we obtained. Remember that the ratio should always be taken of quantities with the same unit of measurement. Also, the ratio is a unitless(no units) quantity.
A.) 22/33 and 14/21
Here. the two ratios represent quantities that are proportional to 1/3.
B.) 48/60 and 35/42
Here. the two ratios represent quantities that are not proportional.
C.) 25/28 and 5/7
Here. the two ratios represent quantities that are not proportional.
D.) 16/13 and 13/16
Here. the two ratios represent quantities that are not proportional.
Hence, The two ratios represent proportional quantities is A: 22/3 and 14/21 = 1/3
Learn more about ratios here:
brainly.com/question/186659
#SPJ5
use the real number line shown below to complete each statement.
The letter best represents −0.1525.
The letter best represents 9
5
.
The letter best represents −1
5
.
Answer:
the letter best represents -15.
b - -0.1525
f - 9/5
a - -1/5
Write the polynomial in standard form, then give the leading coefficient.
Answer:
-3y^8+18y^5+10y is the standard form of the equation. The leading coeficients are -3, 18 and 10
Step-by-step explanation:
The highest power awlays goes at the beginning of the equation. In this situation the highest power is 8, followed by 5 and then by 1. Usually the 1 as a power is not written. The leading coeficients are the numbers infront each term. If there is -4xy, the leading coeficient is -4.
Two integers have a sum of -11 and a difference of 5. What are the two
integers?
(23 points!!)
Answer:
x = -3
y = -6
Step-by-step explanation:
x+y = -11
x-y = 5
x+y+x-y= -6
2x= -6
x = -3
y = -6
Rewrite the equation for x, and express its value in terms of a. 3/a x - 4 = 20
For this case, we must clear variable "x" from the given equation, expressed in terms of "a".
We have:
3/a x-4=20
By clearing "x" we have:
Adding 4 to both sides of the equation:
3/a x = 20 + 4
Multiplying by a/3 on both sides of the equation:
x=24a/3
x=8a
So, x=8a
Answer:
x=8a
Write an equation that would model the tile pattern above where x represents the figure number and y represents the number of tiles
The equation that would model the tile pattern above where x represents the figure number and y represents the number of tiles is y = 2x + 5.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The three figures are shown in the picture.
After analysis:
2(3) + 1 = 7
2(4) + 1 = 9
2(5) + 1 = 11
The standard form:
y = 2(x+2) + 1
y = 2x + 4 + 1
y = 2x + 5
Thus, the equation that would model the tile pattern above where x represents the figure number and y represents the number of tiles is y = 2x + 5.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ2
A negative plus a negative is a positive true or false
Answer:
False
Explanation:
If you take any negative number (ex. -1 and -2) and you add them together:
(-1) + (-2) it would still equal a negative number (-3).
which equation is a function of x ? A. x=5 B. x=y squared +9 C. x squared=y D. x squared=y squared +16
Answer:
I am pretty sure it is C: x squared equals y.
Step-by-step explanation:
The phrase "function of x" means that y depends on the value of x.
The only option where I think this is the case is C.
Answer:
I think it is C
Hope this Helps!
17-||-9|+3|
Can anyone help me out?
Answer:
Step-by-step explanation:
Step 1:
17 - 9 + 3
Step 2:
8 + 3
Answer:
11
Absolute Value turns everything positive.
Hope This Helps :)
A triangle with vertices at A(0,0), B(0,4), and C(6,0) is dilated to yield a triangle with vertices at A(0,0), B(0,10) and C(15,0). The origin is the center of dilation. What is the scale factor of the dilation?
A. 1.5
B. 2
C. 2.5
D. 3
Answer:
The scale of dilation is 2.5
Step-by-step explanation:
K · ( 0, 0 ) = ( 0 , 0 )
k · ( 0 , 4 ) = ( 0 , 10 )
k · ( 6, 0 ) = ( 15, 0 )
k = 15/6 = 10/4 = 2.5
The scale of dilation is 2.5