Addition of 6q + 1 and q + 11 is 7q + 12
Solution:
Given that, we have to add the given two expressions
Given expressions are:
6q + 1 and q + 11
We have to add both the expressions
Addition of 6q + 1 and q + 11 = 6q + 1 + q + 11
Add the coefficients of same variable. Here "q" is present in two terms
Therefore, add 6q and q
Similarly, add the constants 1 and 11
Thus finally addition is done as:
[tex]6q + 1 + q + 11 = 7q +12[/tex]
Thus addition of 6q + 1 and q + 11 is 7q + 12
Find each value (1.2) 3
Answer: im not sure how you typed this but if its 1.2 x 3 then its 3.6
Step-by-step explanation:
On a coordinate plane, a straight line with a negative slope, labeled f of x, crosses the y-axis at (0, 4), and the x-axis at (4, 0). Which is true regarding the graphed function f(x)?
The graph of function f(x) that crosses the y-axis at (0, 4) and the x-axis at (4, 0) is a straight line with a negative slope, making option a correct.
Explanation:Considering the information given, the graph of the function f(x) intersects the y-axis at (0, 4) and the x-axis at (4, 0). By determining the slope of the line, which is the change in y divided by the change in x (rac{ ext{rise}}{ ext{run}}), we can conclude that the slope is negative because the line goes down as it goes right.
The slope is rac{0 - 4}{4 - 0} = -1.
Therefore, option a, stating it is a straight line with a negative slope, correctly describes the graph of function f(x).
Rewrite y = -x + 6 in standard form. Identify the x-intercept of the line.
Answer:
x+y=6
Step-by-step explanation:
The standard form equation is ax+by=c.
2x+3y=12
5x-y+13
Elimination form
To solve the system of equations using the elimination method, we want to eliminate one variable by multiplying the equations by different numbers so that we can add or subtract them to cancel out one variable. In this case, we can multiply the first equation by 5 and the second equation by 2 to cancel out the y variable.
Explanation:To solve the system of equations using the elimination method, we want to eliminate one variable by multiplying the equations by different numbers so that we can add or subtract them to cancel out one variable. In this case, we can multiply the first equation by 5 and the second equation by 2 to cancel out the y variable. After multiplying, we get:
10x + 15y = 60
10x - 2y = 26
Now we can subtract the equations to eliminate the y variable:
(10x + 15y) - (10x - 2y) = 60 - 26
17y = 34
y = 2
Substituting the value of y back into one of the original equations, we can solve for x:
2x + 3(2) = 12
2x + 6 = 12
2x = 6 - 6
2x = 6
x = 3
Therefore, the solution to the system of equations is x = 3 and y = 2.
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Final answer:
The elimination method in solving linear equations involves manipulating the equations to remove one variable, making it possible to solve for the other. It's a widely-used technique and usually applies to equations that are amenable to multiplication or subtraction for simplifying purposes.
Explanation:
The student seems to be asking about solving systems of linear equations using the elimination method. In this method, you manipulate the equations to eliminate one variable, allowing you to solve for the other. Elimination is particularly useful when equations are in a form that allows for straightforward manipulation, like when coefficients of variables are opposites or can be made so through multiplication.
For example, if we have the equations 7x - 2y = 24 and 3x + 9y = 30, we can multiply the first equation by 3 and the second by 7 and then subtract one from the other to eliminate the variable y:
21x - 6y = 72
21x + 63y = 210
Subtracting these two equations gives us:
-69y = -138
Which simplifies to y = 2. Once y is found, substitute it back into one of the original equations to solve for x.
[tex]\[21x - 6(2) = 72\]\[21x - 12 = 72\]Now, let's solve for \( x \):\[21x = 72 + 12 = 84\]\[x = \frac{84}{21} = 4\][/tex]
So, the solution to the system of equations is [tex]\( x = 4 \) and \( y = 2 \).[/tex]
A company is expanding its building area from 19,000 square feet to 24,320 square feet. What is the percentage increase of the area of the building space?
Answer:
28%
Step-by-step explanation:
Can someone help me out here?
What are the roots of the equation x²= 5x+6
Answer: -1 and +6
Step-by-step explanation:
Given :
[tex]x^{2}[/tex] = 5x + 6
re - writing the equation , we have
[tex]x^{2}[/tex] - 5x - 6 = 0
We will look for two factors that when multiplied will give -6[tex]x^{2}[/tex] and when added will give -5. The factors are +x and -6x
Then the equation becomes :
[tex]x^{2}[/tex] -6x + x - 6 = 0
factorizing , we have
x (x-6)+1(x-6) = 0
(x-6)(x+1) = 0
Therefore :
x - 6 = 0 or x + 1 = 0
Therefore :
x = 6 or x = -1
Therefore : the rots of the equation are -1 and +6
Find the values of angles x, y,and z.
51°
60°
389
Ox=91°; y = 51°; z = 31°
x=89°; y = 91°; z=0°
x= 60°; y = 120°; z = 31°
x = 91°; y = 89°; z = 31°
Answer:
The value of x, y and z are:
[tex]x=91^{0}, y = 89^{0}, z=31^{0}[/tex]
Step-by-step explanation:
Label the image as given below.
Consider the triangle ABC.
Use the property: Sum of angles of a triangle is [tex]180^{0}[/tex], to determine the value of x as follows:
[tex]51^{0} +38^{0}+x =180^{0}\\x=91^{0}[/tex]
Use the property: Sum of angles on a straight line is [tex]180^{0}[/tex], to determine the value of y as follows:
[tex]x+y=180^{0}\\91^{0} + y = 180^{0}\\y=89^{0}[/tex]
Consider the triangle ADC.
Use the property: Sum of angles of a triangle is [tex]180^{0}[/tex], to determine the value of z as follows:
[tex]60^{0} + 89^{0} + z = 180^{0}\\z = 31^{0}[/tex]
Answer:
∠x = 91°
∠y = 89°
∠z = 31°
Step-by-step explanation:
the sum of the interior angles of a triangle is 180°the measure of third angle = the sum of the interior angles - the sum of two anglesx = 180 - (51 + 38) = 91
∠x = 91°
the measure of ∠x and ∠y are on the straight line and they are both equal 180°then to find the value of y = 180 - x
y = 180 - 91 = 89
∠y = 89°
z = 180 - (60 + 89) = 31
∠z = 31°
Dion shares 1/3 cup of nuts equally with his brother.
How much does each person get?
Enter your answer as a fraction in simplest form by filling in the boxes.
_/_cups
Each person will get [tex]\frac{1}{6}[/tex] cups of nuts.
Step-by-step explanation:
Given,
Quantity of nuts to share = 1/3 cups of nuts
As Dion will share this with his brother, it means,
1 share of Dion, 1 share of his brother = 2 shares
We will divide the quantity of nuts with 2.
Share of each person = [tex]\frac{1}{3}*\frac{1}{2}[/tex]
Share of each person = [tex]\frac{1}{6}[/tex] cups of nuts
Each person will get [tex]\frac{1}{6}[/tex] cups of nuts.
Keywords: fraction, division
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Answer: 6=1/6(9)
Step-by-step explanation:
Many times does 5 go into 125
Answer:
25 times
Step-by-step explanation:
125÷5 = 25
5 goes into 125 exactly 25 times. This result is obtained by dividing 125 by 5. The answer is 25.
To determine how many times the number 5 goes into 125, we need to perform division:
Set up the division problem: 125 divided by 5.Divide 125 by 5.This means if you divide 125 by 5, the result is 25, showing that 5 fits into 125 exactly 25 times.
Use the row of numbers shown below to generate 12 random numbers between 01 and 99.
25060 12315 86244 97348 36173 32710 80033 16160
Answer:
Below is the complete answer.
Step-by-step explanation:
Given the row of numbers
25060 12315 86244 97348 36173 32710 80033 16160
As we have to generate 12 random numbers between 01 and 99 from the above row of numbers.
Minimum Value = 01
Maximum Value = 99
25060
Lets take 25060 as seed in the calculator as
25060 ➡️ rand
[tex]randInt(1,99,12)[/tex]
Which will generate the following 12 random numbers between 01 and 99.
85 90 62 45 26 97 40 55 67 17 10 32
12315
Lets take 12315 as seed in the calculator as
12315 ➡️ rand
[tex]randInt(1,99,12)[/tex]
Which will generate the following 12 random numbers between 01 and 99.
33 20 26 68 73 09 46 14 82 74 17 04
86244
Lets take 86244 as seed in the calculator as
86244 ➡️ rand
[tex]randInt(1,99,12)[/tex]
Which will generate the following 12 random numbers between 01 and 99.
54 93 02 50 37 01 86 51 38 28 23 36
97348
Lets take 97348 as seed in the calculator as
97348 ➡️ rand
[tex]randInt(1,99,12)[/tex]
Which will generate the following 12 random numbers between 01 and 99.
04 79 01 86 51 02 50 37 38 28 23 36
36173
Lets take 36173 as seed in the calculator as
36173 ➡️ rand
[tex]randInt(1,99,12)[/tex]
Which will generate the following 12 random numbers between 01 and 99.
13 03 28 17 14 31 98 47 40 48 68 19
32710
Lets take 32710 as seed in the calculator as
32710 ➡️ rand
[tex]randInt(1,99,12)[/tex]
Which will generate the following 12 random numbers between 01 and 99.
22 80 42 03 27 89 98 46 14 31 72 56
80033
Lets take 80033 as seed in the calculator as
80033 ➡️ rand
[tex]randInt(1,99,12)[/tex]
Which will generate the following 12 random numbers between 01 and 99.
29 86 51 01 23 64 37 36 35 72 14 59
16160
Lets take 16160 as seed in the calculator as
16160 ➡️ rand
[tex]randInt(1,99,12)[/tex]
Which will generate the following 12 random numbers between 01 and 99.
93 54 72 58 30 14 48 87 99 95 83 29
Keywords: number, random number generator
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A truck enters a highway driving 60 miles per hour a car enters the highway at the same place 9 minutes later and drive 68 miles per hour in the same direction from the time the car enters the highway how long will it take the car to pass the truck
The time taken by car to pass the truck is 1.125 hours
Solution:
A truck enters a highway driving 60 miles per hour a car
The car enters the highway at the same place 9 minutes later and drive 68 miles per hour in the same direction from the time the car enters the highway
Let us first convert 9 minutes to hours
[tex]1 \text{ minute } = \frac{1}{60} \text{ hour }[/tex]
[tex]9 \text{ minute } = \frac{9}{60} = \frac{3}{20} \text{ hours }[/tex]
Let the truck covers 'x' m distance in time 't' hour the car will take [t -(3/20)] hour to cover the same distance 'x'
We know that,
[tex]Distance = Speed \times Time[/tex]
For truck : [tex]x = 60t[/tex] ----------- eqn 1
For car: [tex]x = 68 \times (t - \frac{3}{20})[/tex] ------------ eqn 2
From equations (i) and (ii)
[tex]60t = 68 \times(t-\frac{3}{20})\\\\60t = 68t-10.2\\\\68t - 60t = 10.2\\\\8t = 10.2\\\\t = 1.275[/tex]
Thus the time taken by car to pass the truck is:[tex]t - \frac{3}{20} = 1.275 - \frac{3}{20} = 1.275 - 0.15 = 1.125[/tex]
Thus the time taken by car to pass the truck is 1.125 hours
solve the inequality.
x\6 <1
Answer:
x < 6
Step-by-step explanation:
treat it as a normal equation
Please help!!!!!! just 7 and 8
Which of the following would likely weigh about 8 pounds?
A. newborn baby
B. mother whale
C. large dog
D. professional football player
Which would you most likely measure using inches?
A. width of a road
B. length of a hallway
C. length of your nose
D. distance in the moon
Complete the statement. 8 c = _ pt
A. 1
B. 2
C. 4
D. 16
7 3/5 ft = _ yd
A. 15 1/5
B.3 4/5
C.2 8/15
D. 22 4/5
Answer:
Around 8 pounds: A,NewBorn Baby (I was 7.8 pounds)
Most likely used in inches: C,length of your nose
Complete the statement. 8 c = C,4pt
7 3/5 ft = C
Little Explanation:
Around 8 pounds is a newborn because I was about 8 pounds, a large dog would weigh WAYYY more than that!
We might measure nose length with inches. Centimeter might be used occasionally, but inches is more common. (proccess of elimination)
2 Cups = 1 pint. 8 divided by 2 is 4.
1 yard is 3 feet, therefore you can only think it's 2 8/15
Contact for questions!!!
Final answer:
A newborn baby typically weighs 8 pounds. Inches are ideal for measuring the length of your nose. 8 cups convert to 4 pints and 7 3/5 feet is equivalent to 2 8/15 yards.
Explanation:
Understanding Weights and Measurements
Out of the given options, a newborn baby is likely to weigh about 8 pounds. This rules out the mother whale, large dog, and professional football player, as they all typically weigh significantly more than 8 pounds.
When it comes to measuring in inches, the length of your nose is the most appropriate of the given options. Width of a road, the length of a hallway, and the distance to the moon are all too large and would be better measured in feet, meters, or miles respectively.
For the conversion of cups to pints, we know that there are 2 cups in a pint. Therefore, 8 cups is equal to 4 pints because 8 divided by 2 equals 4.
Lastly, converting feet to yards for 7 3/5 feet to yards, we use the fact that 1 yard is equal to 3 feet. So, we divide 7 3/5 by 3, which gives us 2 8/15 yards.
What is the product of (5x + 1)(5x - 1)?
O
O
O
A. 10x2-1
B. 10x2 + 10x-1
C. 25x2 + 10x-1
O
D. 25x2 - 1
Answer:
D) 25x^2-1
Step-by-step explanation:
(5x+1)(5x-1)
25x^2+5x-5x-1
25x^2-1
Doris wants to hang a mirror that is 14 3/4 inches wide in the center of a wall that is 25 inches wide what width
which should be on each side of the mirror
To center a 14 3/4-inch-wide mirror on a 25-inch-wide wall, subtract the mirror's width from the wall's width and divide by two. There should be 5.125 inches of space on each side of the mirror.
Explanation:Doris wants to make sure the mirror that is 14 3/4 inches wide is centered on a wall that is 25 inches wide. To find the width that should be on each side of the mirror, we need to subtract the width of the mirror from the width of the wall and divide the result by two. The calculation looks like this:
Width of the wall: 25 inchesWidth of the mirror: 14 3/4 inches (which is 14.75 inches in decimal)Space on each side: (25 inches - 14.75 inches) / 2 = 5.125 inchesTherefore, there should be 5.125 inches of space on each side of the mirror.
The table shows the number of bathrooms in some selected houses and apartments.
1 Bathroom 2 Bathrooms
Apartment 44 18
House 24 70
Drag and drop the correct percentage to complete each statement.
Of the apartments, about __ have 1 bathroom and about __ have 2 bathrooms.
Answer: 1 bathroom 44/62=71% 2 bathrooms 18/62=29%
Step-by-step explanation:
Answer:
Of the apartments, about 71% have 1 bathroom and about 29% have 2 bathrooms.
Step-by-step explanation: i took the test it was right :)
Find the x and y intercepts of the line 8y=2x-4
Answer:
Step-by-step explanation:
Hdheidncnfjxhxjd
Answer: Just do 2x4 to get the answer.
Step-by-step explanation:
A certain paint is sold in both 1-gal cans and 1-qt cans. The gallon can cost $13 and the quart can cost $5. How much more do you save per gallon by buying the larger cans?
Answer:
8% or 80%
Step-by-step explanation:
$13.00 - $5.00 = $8.00
What value of X make this equation true? Negative 2X -10 equals 5X -3
Answer:
c
Step-by-step explanation:
c
Answer: x=-2+1/3
Step-by-step explanation:
We move all terms to the left:
2x-10-(5x-3)=0
We get rid of parentheses
2x-5x+3-10=0
We add all the numbers together, and all the variables
-3x-7=0
We move all terms containing x to the left, all other terms to the right
-3x=7x=7/-3x=-2+1/3
A dog pen is 18
feet wide. Its length
is twice the width.
What is the total
perimeter of the
pen?
Answer:
108 ft
Step-by-step explanation:
18x2=36
36+36+18+18=108
Perimeter is the total added amount that surrounds the shape.
The length of the dog pen is twice the width, hence 36 feet. Using the formula for perimeter of a rectangle, the total perimeter of the pen is 108 feet.
Explanation:To calculate the perimeter of a rectangle, we use the formula 2(length + width). Given the width of the dog pen is 18 feet, and the length is twice the width, we first calculate the length: 2 * 18 feet = 36 feet. With that, we can now calculate the perimeter: 2(18 feet + 36 feet) = 2 * 54 feet = 108 feet. Therefore, the total perimeter of the dog pen is 108 feet.
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50
decreased by
twice vidya's
height
Answer
Step-by-step explanation:
Let Vidya's height be x
2x - 50
30 pts!!! Simplify the expression (6^2)^4
[tex](6^{2})^{4}[/tex] is the same as [tex]6^{8}[/tex]
[tex]6^{8}[/tex] = 1,679,616
One number is 5 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 730, find the numbers.
Answer:
the number 1.46
Step-by-step explanation:
because 5×100×1.46=730
Name
9. Bayshore Elementary students
collected $3,200 for new library
books. Each of the 8 classes collected
the same amount. How much did each
claşs collect?
Answer: $ 400
Step-by-step explanation:
Amount collected for new library = $ 3,200 and there are 8 classes and they collected the same amount. This means that each class will collect
3200/ 8 = $400
PLEASE I HAVE SO MUCH WORK TN
Which of the following figures can also be classified as a parallelogram?
Select all that apply.
square
trapezoid
rhombus
right triangle
rectangle
pentagon
Figures that can also be classified as a parallelogram include a square, rhombus, and rectangle due to their properties of having parallel opposite sides and specific angle characteristics.
Explanation:Among the given figures, the ones that can also be classified as a parallelogram are square, rhombus, and rectangle. A parallelogram is defined as a quadrilateral with both pairs of opposite sides parallel. A square is a parallelogram with all sides equal in length and all angles equal to 90 degrees.
A rhombus is a parallelogram with all four sides of equal length; moreover, the diagonals of a rhombus are always perpendicular to each other due to the properties of the scalar product of vectors.
A rectangle is a parallelogram with opposite sides equal and all angles equal to 90 degrees. A trapezoid, right triangle, and pentagon do not fit the definition of a parallelogram because they do not have both pairs of opposite sides that are parallel.
A daycare center has 4 infants and 11 toddlers. What fraction of the children is infants?
StartFraction 4 Over 15 EndFraction
StartFraction 4 Over 11 EndFraction
StartFraction 11 Over 15 EndFraction
StartFraction 11 Over 4 EndFraction
Answer:
Option A [tex]\frac{4}{15\\}[/tex]
Step-by-step explanation:
4 infants + 11 toddlers = 15 children
4 infants / 15 children = [tex]\frac{4}{15}[/tex]
Answer:
The answer is B, or the second option: The sequence is recursive and can be represented by the function f(n + 1) = f(n) + f of n plus 1 equals f of n plus StartFraction 3 Over 8 EndFraction..
Step-by-step explanation:
What is the sum of – 95 and its additive inverse?
Answer:
0
Step-by-step explanation:
In mathematics, the additive inverse of a number a is the number that, when added to a, yields zero. This number is also known as the opposite, sign change, and negation.
Hence, -96 + 96 = 0
one dozen golf balls have a mass of 551.16g.calculate the mass of one golf ball
Answer: Each golf ball weights 45.93g
Step-by-step explanation:
divide 551.16 by 12
Answer:
Step-by-step explanation: