Answer:
x = 6 cm
Step-by-step explanation:
Volume of a rectangular prism = length × width × height
Length = 5 cm
Width = (x + 12) cm
Height = (x + 6) cm
Volume of a rectangular prism = 1,080 cubic centimeter
Volume of a rectangular prism = length × width × height
1080 = 5 * (x+12) * (x+6)
1080 = 5 (x^2 + 6x + 12x + 72
1080 = 5 (x^2 + 18x + 72)
1080 = 5x^2 + 90x + 360
Divide through by 5
216 = x^2 + 18x + 72
Subtract 216 from both sides
x^2 + 18x + 72 - 216= 0
x^2 + 18x - 144 = 0
Using factorization method to solve the quadratic equation
x^2 + 24x - 6x - 144 = 0
x( x+ 24) - 6 ( x + 24) = 0
(x + 24) (x - 6) = 0
x + 24 = 0
x = -24
x - 6 = 0
x = 6
x = -24 or 6
x can not be a negative value , so, x = 6 cm
A line is represented by the equation y = 3x - 7. Which of the following statements about the line is TRUE?
A. The y-intercept is 7.
B. The "rise over run" is equivalent to
1/3
.
C. The point (1, 4) lies on the line.
D. The line has a positive slope
Answer: The "rise over run" is equivalent to 1/3
Step-by-step explanation:
Since the m variable in the equation is 3, the line is going to be wider, there for it will go up 1 and 3 to the right with each point on the line, therefore the answer is B.
The requried slope of the line is 3, which is a positive number. Therefore, the line has a positive slope, and option D is true.
What is the equation?The equation is the relationship between variables and represented as y = ax + b.
Here,
A.
The y-intercept is -7.
The equation y = 3x - 7 is in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. Therefore, the y-intercept of this line is -7, not 7, as given in option A.
B.
The "rise over run" is equivalent to 3. Option B is not correct.
C.
point (1, 4) lies on the line.
To check whether the point (1, 4) lies on the line, we can substitute x = 1 and y = 4 into the equation y = 3x - 7 and see if the equation is true:
y = 3x - 7
4 = 3(1) - 7
4 = -4
Since the equation is not true, the point (1, 4) does not lie on the line, and option C is false.
D.
The line has a positive slope.
As we determined earlier, the slope of the line is 3, which is a positive number. Therefore, the line has a positive slope, and option D is true.
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Which of the following decimal
comparisons is true?
A. 64.699 > 64.999
B. 20.45 = 27.45
C. 36.63 < 36.631
D. 247.008 < 247.006
Answer:
C
Step-by-step explanation:
because you it is greater
-7 2/3+ -5 1/2+8 3/4
Answer:
-4 5/12
Step-by-step explanation:
Can anyone tell me a step by step of this or how u got the answer
Answer:
Translation Followed by Rotation
Step-by-step explanation:
Figure 1 is Translated to the right, becoming figure 2. Figure 2 is then rotated to become figure 3.
Hope it helped :)
At Zach's auto shop each mechanic can change the oil 3 cars per hour. Zach can have up to 4 mechanics working at a time. In a relationship between number of oil changes per hour and number of mechanics working identify the independent variable dependent variable domain and range
Answer:
We know that:
Each mechanic can change the oil of 3 cars per hour.
The number of mechanics can change between 0 and a maximum of 4.
Then we can write the variable:
Y = number of oil changes per hour.
Y = 3*X
Where X is the number of mechanics working.
The independent variable is X (number of mechanics), because is the one that Zach can change, and the dependent is Y (number of oil changes) because this depends on the value of X.
Now, the domain will be: {0, 1, 2, 3, 4}
The possible numbers of mechanics working at the same time.
And for the range we must replace those values in our equation, and see the possible values of Y.
Y(0) = 3*0 = 0
Y(1) = 3*1 = 3
Y(2) = 3*2 = 6
Y(3) = 3*3 = 9
Y(4) = 3*4 = 12
Then the range is: {0, 3, 6, 9, 12}
The perimeter is 40 ft and the length is 12 ft what is the width
Answer:
40-24=16 16/2 = 8
Step-by-step explanation:
The width is 8 ftThis year, Ryan watched 55 movies. He thought that 33 of them were very good. Of the movies he watched, what percentage did he think were very good?
PLEASE HELP ASAP!!!! NO LINKS PLEASE!
Answer:
55 MOVIES???!! ok here's the answer: 33 is 60 percent of 55 = 60
Step-by-step explanation:
A store has fifteen 2 liter bottles of soda on the shelf. How many milliliters of soda does the store have?
Answer:
30,000 milliliters
Step-by-step explanation:
There are 15 2-liter bottles, so you must get the total number of liters by multiplying 15 and 2 to get 30. Then, because there are 1,000 milliliters per liter, you multiply 30 by 1,000 to get 30,000 milliliters total.
Help !!!! Its A Math Question . . A regular polygon with n sides has ____ lines of symmetry.
Question options:
10
100
n
0
Answer:
The number of line symmetry in a regular polygon of n sides is 'n'. For example a regular pentagon has 5 line symmetry,Hexagon has 6 line symmetry etc.
Step-by-step explanation: hope this help =)
Answer:
n
Step-by-step explanation:
A regular polygon with n sides has ____ lines of symmetry.
A square has 4 lines of symmetry
A pentagon has 5 lines of symmetry
A n-agon will have n lines of symmetry
Pharaoh has 240 color pencils. Of those pencils, there are red pencils and green ones. The numbers of red pencils are three times as many as the green pencils. How many red pencils?
Answer:
80 red pencils
Step-by-step explanation:
240/3=80
What is 2 and 3 mix together?
Answer:
if you mean by addition its 5 and if its multiplication then its 6
Step-by-step explanation:
A group of 65 baseball players were surveyed about which hand they favor for batting. The data from the survey are shown in the Venn diagram. Determine the value for each variable in the two-way table. A = b = c = d = e =.
The value of A is 7, the value of B is 31, the value of C is 28, the value of D is 13, and the value of E is 65.
What are Sets?Sets are the collection of well-defined elements. A set is represented by a capital letter symbol and the number of elements in the finite set is shown as curly bracket {..}. Venn diagrams are a representation of the sets by the diagram.
A group of 65 baseball players was surveyed about which hand they favor for batting. The data from the survey are shown in the Venn diagram.
The table is shown below.
More about the sets link is given below.
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Answer:
Step-by-step explanation:
A=7 B=31 C=28 D=13 E=65
The cost of laying wood floors consists of a base price of $250, plus $3.50 for each square foot installed. Define the variable
Let s = the base price of laying wood floors
Let s = the cost of each square foot
Let S = each square foot of wood installed
Let s = $250
Answer:
Let s = each square foot of wood installed
Step-by-step explanation:
Total cost of laying wood = base price + price for each square foot installed
Base price = $250
Price for each square foot installed = $3.50
Let
s = number of each square foot installed
Total cost of laying wood = $250 + $3.50s
The correct answer is
Let s = each square foot of wood installed
Which relation is a function?
How many fluid ounces are in 5 cups
Answer:
40 fluid ounces
Step-by-step explanation:
Adam needs four new tires for his car. He has a choice of high performance tires that cost $189 each or economy tires that cost $92 each. How much will he save by buying four economy tires rather than four high performance tires?
$368
$756
$97
$388
$460
Answer:
388
Step-by-step explanation:
You will multiply both 189x4=756 and 92x4=368 and subtract it and you will get 388
Need help on these questions ASAP please and thank you ! (:
Graph the line.
x = 3
Explanation: I would do this problem by setting up a chart.
For the equation x = 3, if we set up a chart for x and y,
since x must be equal to 3, the random values we
choose in this problem are not for x, they are for y.
If we had an equation like y = 2x + 3, then we would pick values for x
and plug them into the equation to get y, but here, x is our only value.
So let's choose the values 1, 0, and -1 for y.
For each of these values, x must be equal to 3.
So we have the points (3, 1), (3,0), and (3, -1).
Notice that our graph is a vertical line, as I showed this below.
I need help with number 9 through 16 The instructions are on the blanks label the difference of two squares as D in the perfect square trinominals as P factor each expression 20 POINTS CORRECT ANSWER GETS BRAINLIEST!!!!!!!!!!!!!!
Answer: Need better instructions Sorry
Step-by-step explanation:
Plz help!
6y + 2 = 9y + 14
Solve for y.
Answer:y=-4.6667
Step-by-step explanation:
Answer: y= -4
Step-by-step explanation:
6y + 2 = 9y + 14 Subtract 2 from both sides
-2 -2
6y = 9y + 12 Subtract 9y from both sides
-9y -9y
-3y = 12 Divide both sides by -3
y= -4
There are 5 cakes in a box.
The box and cakes weigh 300 grams altogether.
The box weighs 25 grams.
Each cake weighs the same.
What does each cake weigh? |
grams.
Help!!!
Answer:
35g
Step-by-step explanation:
given,altogether 300g
box weight is 25 gram
know we know that
1 cake weight and box =300/5
1 cake weight =60 gram -25gram
cake weight =35g
Can you describe the pattern of the number of dots as a function of the Picture number? Tell how you got your
answer.
Answer:
In order to describe the pattern of the number of dots as a function of the picture number you have to take the average values of each number and find the line of best fit between each dot. This gives you a function, such as, f(x) = mx+b.
Denisa’s savings account balance increased from $50 to $80. By what percentage did the balance increase?
Answer:
Step-by-step explanation:
All you have to do here is divide 80 by 50.
80/50 = 8/5 = 1.6
Therefore if you convert this into a percentage:
1.6 = 160%
This means that her balance increased by 160%.
!Choose the correct word for the following definitions:)!
An amount that is part of a whole ?
)A,proportion B,unit rate C,Ratio D,Rate
Answer:A- Proportion
Step-by-step explanation:
Zack is creating a 5 digit password for his computer. For the first three digits, he chooses different letters of the alphabet.
For the last two digits, he chooses a different number
between 0-9. How many passwords are possible?
Answer:
460
Step-by-step explanation:
The total number of passwords possible is given by the permutation equation A = 26 x 25 x 24 x 10 x 9
What are Permutations?A permutation is an ordered arrangement.
The number of ordered arrangements of r objects taken from n unlike objects is:
Permutation nPr = ( n )! / ( n - r )!
Given data ,
Let the total number of passwords be represented as A
Now , the equation will be
The number of digits in the password = 5 digits
For the first three digits, he chooses different letters of the alphabet
So , total number of digits that are alphabets out of the 26 alphabets = 3
For the last two digits, he chooses a different number
between 0-9
The total number of digits that are numbers out of the 10 numbers = 2
So , the permutation will be
A = 26P3 x 10P2
Substituting the values in the equation , we get
The total number of passwords A = ( 26 )! / ( 26 - 3 )! x ( 10 )! / ( 10 - 2 )!
On simplifying the equation , we get
The total number of passwords A = ( 26 )! / ( 23 )! x ( 10 )! / ( 8 )!
And ,
The total number of passwords A = 26 x 25 x 24 x 10 x 9
Therefore , the value of A is 14,04,000
Hence , the permutation is 26P3 x 10P2
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EASY MATH QUESTION PLEASE HELP:
Step-by-step explanation:
a, b, c are real number
Then,
Always True statements are -
abc = cbaa(b + c) = ab + ac(b - c)a = ab - acAnswer:
ABC are real numbers
Step-by-step explanation:
Slope of 2 and y-intercept of −7
Find the equation of the line in slope-intercept form.
Answer:
y=2x-7
Step-by-step explanation:
2 would equal M because m is your slope.
-7 would be your y intercept
following y=mx+b
The required equation of the line is given as y = 2x -7.
Given that,
The slope of 2 and y-intercept of −7
The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
The equation of the line is given as.
y = mx + c
Substitute the value in the equation,
y = 2x - 7
Thus, the required equation of the line is given as y = 2x -7.
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Can anyone solve this correctly?
Answer:
21.06 square feet
Module 20 lesson 1 Algebra 1 volume 2
Answer:
7 CA I don't know what you think of the year
Does the input value x = 1 have a real output in the function
f(x) = -√ x - 10 + 11?
Answer:
y = 0
Step-by-step explanation:
-√ x - 10 + 11
-√ 1 - 10 + 11
-1 - 10 + 11
-11 + 11
If x = 1 then y(output) = 0
sorry if it's wrong.