Answer: I'm assuming you want this problem simplified.
6x + 11 + 3x
Combine like terms: 9x + 11
Your expression now looks like: 9x + 11
There is nothing left to simplify, so you're done!
Hope this helps!
Answer:
9x+11
Step-by-step explanation:
6x + 11 + 3x
Combine like terms
9x+11
If a 15% discount is applied to a 15,000,000 car, what will its price be.
Answer:
$12,750,000
Step-by-step explanation:
15,000,000 x 0.15 = 2,250,000
15,000,000 - 2,250,000 = 12,750,000
Answer:
12750000Step-by-step explanation:
[tex]15\% \: discount \:on \: 15,000,000\\\\= \frac{15}{100} \times 15,000,000\\\\\\= \frac{225000000}{100}\\ \\= 2250000\\\\15 000 000 - 225 0000= 12750000[/tex]
Write an expression to represent the product of 6 and the square of a number plus 15.
Answer:
6x^2 + 15
Step-by-step explanation:
We don't know what the square of a number is, so we represent it as x^2
The first part tells us to find the product of 6 and the square of a number, so
6x^2
The second part tells us to add 15 so,
6x^2 + 15
The expression that should be represented is [tex]6x^2 + 15[/tex]
Given that
The product of 6.The square of number + 15.Based on the above information,
Let us assume the number should be x
So, from the above information, the expression should be [tex]6x^2 + 15[/tex]
Therefore we can conclude that The expression that should be represented is [tex]6x^2 + 15[/tex]
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Simplify the following: a) [ -6 +22 – 6 + 8 ] ÷ ( -9 ) b) 400 ÷ { 40 – (-2) -3 – ( -1)} c) 40 x -23 + 40 x -17 d) 1673 x 99 – (-1673) e) 490 x 98
Step-by-step explanation:
a) [ -6 +22 – 6 + 8 ] ÷ ( -9 )[ -6 +22 – 6 + 8 ] = 18
18 ÷ (-9) = -2
b) 400 ÷ { 40 – (-2) -3 – ( -1)}{40 – (-2) -3 – ( -1)} = { 40 + 2 -3 + 1} = 40
400 ÷ 40 = 10
c) 40 x -23 + 40 x -17(40 x 23) + (40 x -17)
920 + (-680)
= 240
d) 1673 x 99 – (-1673)(1673 x 99) + 1673
1673 x 100
= 167300
e) 490 x 98 = 48020Hope this helps ^-^
The estimated product of 20.7 and 9.18, after rounding both factors to the nearest whole number, is . The exact product of 20.7 and 9.18 has decimal places.
Answer:
Estimated=189
Exact=190.026
Step-by-step explanation:
Estimated values
20.7 to nearest whole number= 21
9.18 to nearest whole number= 9
Product means multiplication
Estimated product of 20.7 and 9.18
=21×9
=189
Exact product of 20.7 and 9.18
=20.7 × 9.18
=190.026
It has 3 decimal places
Answer:
The estimated product of 20.7 and 9.18, after rounding both factors to the nearest whole number,
is
✔ 189
.
The exact product of 20.7 and 9.18 has
✔ 3
decimal places.
Step-by-step explanation: Hope this helps(:
WILL GIVE BRAINLIEST AND 20 POINTS! PLEASE SHOW WORK!
How many different 8-digit phone numbers do not contain the digit 2? Assume that any digit in the phone number can be any of the remaining numbers. Use the Multiplication Principle of Counting to solve the problem.
The number of different 8 digit phone numbers we can have that do not contain the digit 2 is 43046721 numbers
Since there are 10 digits in our number system from 0 to 9, and we are looking for the number of different 8-digit phone numbers that do not contain the digit 2, we would be one digit short. So, for each digit position, we would have 10 - 1 digits = 9 digits.
Since we have 8 places for each digits, for the first place, we have 9 digits. For the second place, we have another 9 digits and so on till we get to the 8 th digit place.
So, for all 8 digit places, we have 9 × 9 × 9 × 9 × 9 × 9 × 9 × 9 × 9 = 9⁸.
So, the number of different 8 digit phone numbers we can have that do not contain the digit 2 is 9⁸ numbers = 43046721 numbers.
Thus, the number of different 8 digit phone numbers we can have that do not contain the digit 2 is 43046721 numbers.
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PLEASE help me with this question! This is really urgent! No nonsense answers please.
Answer:
Last statement is the true one: AH congruent with AB
Step-by-step explanation:
Since the FG is congruent with KC, then the central angles defined by this chords are the same. and since the segments AH and AB are perpendicular to the segments GF and KC respectively (intersecting them at exactly half of their length), they form right angle triangles of which the hypotenuse is the actual radius of the circle, one of the legs of these triangles is half of the segments GF and KC of equal length. Then the third legs of those right angle triangles (AH and AB) must be equal as well.
What are the amplitude, period, phase shift, and midline of f(x) = 7 cos(2x + π) − 3? (6 points) Amplitude = −3; period: π; phase shift: x = negative pi over 2 ; midline: y = 3 Amplitude: 7; period: π; phase shift: x = negative pi over 2 ; midline: y = −3 Amplitude: 7; period: 2π; phase shift: x = pi over 2 ; midline: y = 3 Amplitude: −3; period: 2π; phase shift: x = pi over 2 ; midline: y = −3
Answer:
So the amplitude is 7
The period is pi
The phase shift is negative pi/2
The midline is -3
Step-by-step explanation:
A trigonometric function is the same as
[tex]f(x) = a \cos(b(x + c)) - d[/tex]
Where a is the amplitude, 2 pi/ absolute value of b is the period, c is the phase shift, and d is the vertical shift or midline.
Given the function
[tex]7 \cos(2x + \pi) - 3[/tex]
The amplitude is 7, and the midline is -3. The period is
[tex] \frac{2\pi}{2} = \pi[/tex]
The phase shift is
[tex]2x + \pi = 0[/tex]
[tex]2x = - \pi[/tex]
[tex]x = - \frac{\pi}{2} [/tex]
So the amplitude is 7
The period is pi
The phase shift is negative pi/2
The midline is -3.
A chocolate company has a new candy bar in the shape of a prism whose base is a 1-inch equilateral triangle and whose sides are rectangles that measure 1 inch by 2 inches. These prisms will be packed in a box that has a regular hexagonal base with 2-inch edges, and rectangular sides that are 6 inches tall. How many candy bars fit in such a box
5 times the quantity 7 minus a number f in an algebraic expression.
Answer:
(5*7)-f
Step-by-step explanation:
Algebraic expression for the given statement is [tex]5 \cdot 7 -f[/tex]
Algebraic expressionAlgebraic expression is the combination of terms that consists of numbers and variables connected by arithmetic operators.
Given statement is 5 times the quantity 7 minus a number f in an algebraic expression.
We need to write it in an algebraic expression
5 times a quantity. for product we use multiplication sign
For addition we use + sign and for difference we use minus sign .
5 times the quantity 7 means 5 multiplied by 7
[tex]5 \cdot 7[/tex]
5 times the quantity 7 minus a number f
subtract f from the expression we got
[tex]5 \cdot 7 -f[/tex]
Algebraic expression for the given statement is [tex]5 \cdot 7 -f[/tex]
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Determine if the product CA is defined, state it’s dimensions not the product
Answer:
Dimensions of the product matrix = (3 × 3)
Step-by-step explanation:
If matrix P having dimensions (m × n) and matrix Q having dimensions (n × r) are multiplied,
Dimensions of the product matrix PQ will have the dimensions as (m × r).
That means product of the two matrices are defined when columns of first matrix P is equal to the rows of the second matrix Q.
Following this rule,
Dimensions of matrix A = (2 × 3)
[ Rows × Columns]
Dimensions of matrix B = (3 × 3) [Rows of B = 3, columns of B = 3]
Dimensions of matrix C = (3 × 2) [Rows of C = 3, columns of C = 2]
Since columns of C and rows of A are equal.
Therefore, product of C and A is defined.
Product of the matrices C & A will have the dimensions as (3 × 3).
Solve.
d+e= 2
d-e = 4
Use the substitution method.
O There are an infinite number of solutions.
O There is no solution.
О
The solution is
(3. – 1).
(5, 1)
O The solution is
Step-by-step explanation:
let d+e=2 be equation 1
let d-e=4 be equation 2
lets make d the subject in equa 1
d = 2-e equation 3
put equation 3 in 2
2-e=4
e=2-4
e=-2
put e=-2 in equa 1
d-2=2
d=4
e is -2 and d is 4
What is an equation of the line that passes through the point (-5,-4) and is
perpendicular to the line 53 + 6y = 36?
Answer:
Submit Answer
attempt 1 out of 2
Answer:
6,25
Step-by-step explanation:
Find an angle such that is 4 times its complement equals 200°
Answer:
144°
Step-by-step explanation:
Complement angles add up to 180°
Therefore.....
x=4(180-x)
x=720-4x
5x=720
x=144°
When the sum of two angles measures up to 90° then these angles are known as complementary angles of each other. The measure of the given angle is 40.
What are Complementary Angle?When the sum of two angles measures up to 90° then these angles are known as complementary angles of each other.
for example, ∠x + ∠y = 90°, therefore, the ∠x and ∠y are the complementary angles of each other.
Let the given angle be represented by x.
Now, the complement of this angle will be,
Complement angle = (90 - x)
Further, it is given that 4 times the complement of this angle is equal to 200°. Therefore, we can write,
4(90 - x) = 200
360 - 4x = 200
-4x = -360 + 200
-4x = -160
x = -160 / -4
x = 40
Hence, the measure of the given angle is 40.
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At Pontotoc Middle School there are only
7th and 8th graders. There are 15x + 13xy + 10y
students. There are 8x + 8xy + 8y 8th graders.
How many 7th graders are there?
Answer:
So what we need to do is find out how many are left after taking away the 8th graders.
15x - 8x = 7x
so we have part of that
7x
Then 13xy - 8xy
5xy
10y - 8y
2y
this means that for 7th graders its
7x + 5xy + 2y
Step-by-step explanation:
Answer:
7x + 5xy + 2y is the number of 7th graders in the school.
Step-by-step explanation:
We are told that the total number of students is 15x + 13xy + 10y for both, 7th and 8th grade. We are also told that there are 8x + 8xy + 8y 8th graders. Incase you weren't able to figure out by this detail, we need to subtract to find the answer. We need to subtract the total students, 15x + 13xy + 10y, from the 8th graders, 8x + 8xy + 8y.
The steps would look like this:
15x + 13xy + 10y
— 8x + 8xy + 8y
---------------------------
7x + 5xy + 2y
15 - 8 = 7
13 - 8 = 5
10 - 8 = 2
8) There are 2116 students in a school .In how many equal rows and columns can they be arranged for a drill display?
Answer:
46
Explanation:
root of 2116
=46×46
Therefore 46 columns and 46 rows
Answer:
46 rows, 46 columns.
Step-by-step explanation:
First factor 2116:
2) 2116
2 } 2058
23 ) 529
23
2116 = 2*2*23*23
= 46 * 46
Please help!! 20 points
(-78) + 69 =
Answer:
-9
Step-by-step explanation:
Since the signs are different, subtract the two numbers and take the sign of the larger number
78 - 69
9
Since 78 is the larger number and it was negative
-9
Answer:
-9
Step-by-step explanation:
-78+69
=-9
happy to help
Which of the following is most likely the next step in the series?
A.
B.
C.
D.
Answer:
C
Step-by-step explanation:
The amount of sides on the shape are increasing, like 4, 5, 6, so the best answer should be 7 sides for the next shape, however there is no shape that is 7, so C which has 8 sides is the next best answer.
Most likely the next step in the series is hectogon. Therefore, option A is the correct answer.
What is the pattern?A pattern in mathematics is an arrangement of numbers, shapes, colours and other elements that repeat. This arrangement can be related to any event or object. When a group of numbers is organised in a certain way, it is referred to as a pattern. Patterns can also be referred to as a series.
The given series has square, pentagon and hexagon.
We know that, square has 4 sides, pentagon has 5 sides and hexagon has 6 sides.
So, the next figure in the series must have 7 sides.
Thus, 7 sided figure is called has hectogon and septagon.
Therefore, option A is the correct answer.
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plz help with equation of the circle will award fastest CORRECT answer with brainliest
Answer:
[tex](x-1)^2+(y-2)^2=6.25[/tex]
Step-by-step explanation:
The equation for a circle is given by:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where (h,k) is the center and r is the radius.
The center is the red dot, which is (1,2). Thus, h=1 and k=2.
To find the radius, you need to use the distance formula. We are given two coordinates: the center (red dot) at (1,2) and a blue dot on the circle at (2.5,4). Find the radius by using the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Let (1,2) be x₁ and y₁ and let (2.5,4) be x₂ and y₂. Therefore:
[tex]d=\sqrt{(2.5-1)^2+(4-2)^2}\\d=\sqrt{(1.5)^2+2^2}\\d=\sqrt{2.25+4}\\d=\sqrt{6.25}=2.5[/tex]
Thus, r is 2.5.
Plugging these numbers into the equation, we have:
[tex](x-h)^2+(y-k)^2=r^2\\(x-1)^2+(y-2)^2=2.5^2\\(x-1)^2+(y-2)^2=6.25[/tex]
the vertex form of a function is g(x)=(x-3)^2+9
Answer:
(3,9) is the answer.
Step-by-step explanation:
mister Limbu bought a bicycle for Rs2500 and he labelled it's price 20 Percent above the cost price if he allows 10percent disc
ount to a customer, find his profit percent
Answer: 8%
Step-by-step explanation:
Purchase Price is $2500
Ticket Price is $2500(1 + 20%)
= $2500(1.2)
= $3000
Discounted Price is $3000(1 - 10%)
= $3000(0.9)
= $2700
The profit made is $2700 - $2500 = $200
Profit Percentage is Profit ÷ Purchase Price: [tex]\dfrac{200}{2500}=0.8=\large\boxed{8\%}[/tex]
-4.1=8(y-5) it says solve equation
[tex]\text{Solve for y:}\\\\-4.1=8(y-5)\\\\\text{Use the distributive property}\\\\-4.1=8y-40\\\\\text{Add 40 to both sides}\\\\35.9=8y\\\\\text{Divide by 8}\\\\\boxed{4.4875=y}\\\\[/tex]
max drove 460 miles in 8 hours at a constant speed. How long would it take him to drive 661.25 miles at that speed? speed=d/t Time =d/s
Answer:
x = 11.5 hours
Step-by-step explanation:
Set up a proportion:
[tex]\frac{460}{8}[/tex] = [tex]\frac{661.25}{x}[/tex]
661.25/460 = 1.4375
Multiply 8 by 1.4375 to find x:
8(1.4375) = 11.5
x = 11.5 hours
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Given that f(x)=-x+4 and g(x)=-2x-3, solve for f(g(x)) when x=2.
Answer:11
Step-by-step explanation:
g(2)=-7
f(-7)=11
Answer:
f(g(x))= 11
Step-by-step explanation:
This question asks us to find f(g(x)) when x=2. Therefore, we can substitute 2 in for x.
f(g(x)), x=2
f(g(2))
First, we must find g(2).
We know that g(x)= -2x-3. We can plug 2 in for each x and solve.
g(x)= -2x -3, x=2
g(2)= -2(2)-3
First, multiply -2 and 2.
g(2)= -4-3
Then, subtract 3 from -4.
g(2)= -7
Let's return to our function: f(g(2)). We know that g(2)= -7. Thus, we can substitute -7 in for g(2).
f(g(2)), g(2)= -7
f(-7)
Now we must find f(-7). We know that f(x)= -x+4. We can plug -7 in for x and solve.
f(x)= -x+4 , x= -7
f(-7)= -(-7) +4
f(-7)= 7+4
Add 7 and 4
f(-7)= 11
Our final answer is: f(g(x))= 11
Translate this into an equation 4 times a number divided by eight is three
Answer:
Here is the equation 4x6/8=3
Answer:
4 x q ÷ 8 = 3
4 x 6 ÷ 8 = 3
(24) ÷ 8 = 3
Can someone help me solve parts (a) and (c) please? Thank you!
a) 4x +6
Add up all the sides to calculate perimeter
Answer:
a) 6x + 6
b) 15 x 24
c) see explanation
Step-by-step explanation:
a) 2x + x + 3 + 2x + x + 3 = 6x + 6
b) 6x + 6 = 78
6x = 72
x = 12
2(12) = 24
(12) + 3 = 15
15 x 24
c) 2x(x + 3) = 2x² + 6x
2(12)² + 6(12) = 288 + 72 = 360
15 x 24 is also 360
What is the equation for the line of symmetry in this figure?
Hey there! I'm happy to help!
A line of symmetry is a line that cuts a figure in half so that it is the same on both sides. We cannot do a vertical line because one side is different than another. We could do a horizontal line where y=3 the whole time. This would cut the shape in half so it is the same on both sides.
Therefore, the equation for the line of symmetry in this figure is y=3.
Have a wonderful day! :D
The horizontal line y = 3 is the required equation of line that makes the symmetric figure.
What is a line of symmetry?A line of symmetry is a line that splits a figure in two and makes the two halves identical.
In the given figure,
One side is different from the other, we are unable to draw a vertical line.
A horizontal line with y = 3 throughout could be drawn. This would split the form in half, making both sides identical.
Therefore, line y = 3 is the equation of line that will make figure symmetric.
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The cost of hat, pants, and sweater is $225. The pant cost $10 more than hat, and the sweater cost $10 more than the pants. What is the cost of the hat ?
Answer:
$65
Step-by-step explanation:
Let x represent the cost of the hat.
Since the pants cost $10 more than the hat, the cost can be represented by x + 10.
Since the sweater cost $10 more than the pants, the cost can be represented by x + 20.
Create an equation adding these all together and setting it equal to 225, then solve for x:
(x) + (x + 10) + (x + 20) = 225
3x + 30 = 225
3x = 195
x = 65
So, the hat cost $65
land and sea corporation has just purchased some shoreline property, and according to their calculations it will cost 2.5 times as much to develop the land as much as it did to buy it. If land and sea believe it will end up spending a combined total of $13,457,500 on both the land and its developments, how much must be the land alone have cost?
Answer:
5,383,000 / *improvments cost 8,074,500
Step-by-step explanation:
if 2.5 is by 'times' then,
13,457,500 / 2.5 =
5,383,000
Which means the cost of the land is 5,383,000
To check just multiply:
5,383,000 x 2.5 = 13,457,500
*Extra
13,457,500 - 5,383,000
= the cost of improvements = 8,074,500
Hope this helps, and have a good day :)
Answer:
$3,845,000
Step-by-step explanation:
Land cost = lDevelopment cost = dTotal cost = $13,457,500As per given:
d= 2.5 lThen total is:
l+2.5l= 134575003.5l= 13457500l= 13457500/3.5l= $3845000Cost of the land alone is $3,845,000
If the area of the figure is 16 square centimeters, what is the height of the triangle?
Answer:
3.2 cm = h
Step-by-step explanation:
The area of a triangle is
A = 1/2 bh
where b is the base and h is the height
b = 10 and the area is 16
16 =1/2 *10 *h
16 = 5h
Divide each side by 5
16/5 = 5h/5
3.2 cm = h
Josie has 43 animal books and 29 art books. She puts all the books on 8 shelves. She puts the same number of books on each shelf.
How many books does Josie put on each shelf? Enter the answer in the box.
books
Answer:
9 books
Explanation:
Number of animal books = 43
Number of art books = 29
So, total number of books
= Number of animal books + Number of art books
= 43 + 29
= 72
Number of books in each shelf, if divided equally
= Total number of books/Number of shelfs
= 72/8
= 9
So, each shelf has 9 books in it.