An expression which is equivalent to the given expression 18x² +14x + 7 is given by 14x + 18x² + 7.
As given in the question,
Given expression is :
18x² +14x + 7
Simplify all the optional expression to check which one is equivalent to given expression:
a. 7(18x² + 14x)
= 126x² + 98x
Not equivalent.
b. 14x + 18x²+ 7
Rearrange it
18x²+14x + 7 .
Equivalent.
c. 32x³ + 7
Degree is 3.
Not equivalent.
d. 18x²(14x + 7)
= 252x³ +126x²
Not equivalent.
Therefore, an equivalent expression of 18x²+14x + 7 is 14x + 18x²+ 7.
The complete question is:
Which of the following is an equivalent expression of 18x²+14x + 7?
7(18x² + 14x)
14x + 18x²+ 7
32x³ + 7
18x²(14x + 7)
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need help asap
do please asap
help
The diagram attached below shows the rectangles with the following:
a. Perimeter = 30 cm; b. Perimeter = 30 cm
c. Length = 8 cm; Width = 4 cm
Length = 10 cm; Width = 2 cm
Length = 7 cm; Width = 5 cm
What is the Perimeter of a Rectangle?A rectangle is a four sided shape that has two opposite sides that are parallel and equal to each other.
The perimeter of a rectangle is the sum total of all the four sides of the rectangle and can be calculated using the formula:
Perimeter of a rectangle =2(length + width).
3. a. The diagram of the rectangle that has the following parameters is shown as rectangle 1 in the image attached below, where:
Length of rectangle = 10 cm
Width of rectangle = 5 cm
Perimeter of rectangle 1 = 2(10 + 5) = 30 cm
b. Rectangle 2 in the diagram shows the parameters given:
Length of rectangle = 20 cm
Width of rectangle = 10 cm
Perimeter of rectangle 2 = 2(20 + 10) = 60 cm
c. Rectangles 3, 4 and 5 shows the different measures a rectangle with a perimeter of 24 cm can be:
Rectangle 3: Length = 8 cm; Width = 4 cm
Rectangle 4: Length = 10 cm; Width = 2 cm
Rectangle 4: Length = 7 cm; Width = 5 cm
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If there are 12 dogs and 42 cats at a pet daycare, fill out all of the possible ratios of
dogs to cats that could be made.
There are 12 dogs for every 42 cats (12:42 ratio)
There are
dogs for every cats try
Type in an equivalent ratio of dogs and cats.
Jupiter is 6.3 x 108 (630 million kilometers) from Earth. Calculate how long it would take to reach Jupiter if you traveled at
If you just want to conduct a flyby and aren't planning to stay, it will take you approximately 600 days, and if you want to enter orbit, it will take you about 2,000 days.
WHAT IS LIGHT YEAR ?Astronomical distances are expressed in terms of a light-year, which is also spelt light year. Its length is approximately 9.46 trillion kilometers, or 5.88 trillion miles.
HOW LONG IT WOULD TAKE TO REACH JUPITER FROM EARTH ?NASA's Pioneer 10 was the first spacecraft to ever travel across the distance between the Earth and Jupiter. On March 3, 1972, it was launched, and on December 3, 1973, it arrived. There were 640 days of flight time altogether.
However, Pioneer 10 was passing by while en route to study the outer solar system. Before NASA lost communication with it, the spacecraft traveled another 11 years into deep space after approaching the planet at a distance of 130,000 kilometers, where it snapped the first-ever close-up images of Jupiter.
Pioneer 11 launched and touched down one year later. It traveled there in 606 days, flying by Jupiter at a considerably closer distance (21,000 kilometers), and also stopped by Saturn.
The Voyager spacecraft arrived next. Voyager 1 arrived on March 5, 1979, in only 546 days, and Voyager 2 took 688 days.
Consequently, it will take between 550 and 650 days to complete a flyby.
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4.) Johnny played a video four times in a row. Each time he played he lost 15 points. How
many points did he lose in all after playing the games?
1-19
2-60
3-(-60)
4- (-19)
Please help with the questions provided in the pictures below
Answer:
the answer is gonna be d
Step-by-step explanation:
Determine the total surface area of the composite shape below
Answer:
118.558 cm^2
Step-by-step explanation:
Ok, a rectangular cube and a Cylinder.
Let's start with the rectangular cube.
SA= 2(lw + lh + wh)
total surface area = 94 cm^2
Now the Surface Area of the of the Cone.
A=2πrh+2πr^2
A=2πrh+2πr^2=2·π·1·5+2·π·1^2≈37.69911 cm^2
Since the cone is standing on top of the rectangular cube, we need to deduct just the area of the circle.
A=πr2=π·12≈3.14159 cm^2
So, 84 cm^2 + 37.69911 cm^2 - 3.14159 cm^2
Sum the quantities:
84 cm^2 + 37.6991 cm^2 - 3.14159 cm^2
Sum the numbers 84 + 37.7 - 3.142 = 118.558:
Answer: 118.558 cm^2
pls help ASAP
A jeweler wants to make a silver alloy to be used to make necklaces. How many ounces of a silver alloy that costs $5.50 per ounce should be mixed with one that costs $8.00 per ounce to make a new 20-ounce alloy that costs $7.00 per ounce?
$5.50 grade oz
$8.00 grade oz
Thank you :)
Answer and Explanation:
Let x be the total weight of the silver alloy costing $3.50 per ounce and y be the the total weight of the other that costs $7.00 per ounce.
The total weight of the resulting alloy is 30 ounces.
x+y=30x+y=30
Each ounce of the mixture must cost $6.30. The total cost of the resulting silver alloy is:
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8 ounces of silver alloy that costs $5.50 per ounce should be mixed with 12 ounces of silver alloy that costs $8.00 per ounce to make a new 20-ounce alloy that costs $7.00 per ounce.
What are Linear Equations?Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.
Let x be the number of ounces of silver alloy which costs $5.50 per ounce and y be the number of ounces of silver alloy that costs $8.00 per ounce.
We have,
x + y = 20
5.50x + 8.00y = 7 × 20
From the first equation, x = 20 - y
Substituting this in the second equation,
5.5 (20 - y) + 8y = 140
(5.5 × 20) - 5.5y + 8y = 140
110 + 2.5y = 140
2.5y = 30
y = 12
x = 20 - y = 20 - 12 = 8
Hence the number of $5.50 cost per ounce silver alloy used is 8 ounces and the other alloy used is 12 ounces.
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what is the answer for D
Answer:
Where's a photo or sum??
what is 859x85 i need help is way to hard lmk if u know
Answer: 73015
Step-by-step explanation:
multiply both of them together
If someone could help me with these two problems please.
( will mark brainliest if correct )
Answer:
1st- x=140°
2nd-x=90°
Step-by-step explanation:
The interior angle of a 9 -sided polygon is 140x9=1260
divide by 9
The interior angles of a triangle always add up to 180
90°each
Sanjay bought 4 packages of bottled water. A package contains 25 bottles of water that cost $1.20 each. Sanjay can use the
calculation below to find the total cost of the water.
4 x (25 x 1.2)
How can Sanjay simplify the calculation using only the associative property of multiplication?
Drag and drop the appropriate number or expression into each
According to the associative property of multiplication, the expression to find the cost will be (1.2 × 25) × 4 based on the property and the value is $120.
How to illustrate the information?It should be noted that the associative property of multiplication simply means that when multiplying three numbers, the answer will be the same regardless of how the numbers are grouped.
In this case, Sanjay bought 4 packages of bottled water and a package contains 25 bottles of water that cost $1.20 each.
From the information, the expression is illustrated as 4 x (25 x 1.2). It should be noted that this can also be written as (1.2 × 25) × 4 based on the property and the answer will be $120.
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The graph of the equation 2x-3y=7 is a line. Find the x- and y-intercepts and graph the line using these two points.
x-intercept, 7/2
y-intercept, -7/3
What is intercept?The points where a line crosses an axis are known as the x-intercept and the y-intercept, respectively. the location on the y axis where a graph crosses it. • x = 0 at the same location. An intercept in mathematics is a location on the y-axis through which the line's slope passes. It is a place on the y-axis where a straight line or a curve crosses. This is reflected in the equation for a line, which is written as y = mx+c, where m denotes slope and c denotes the y-intercept.
Given that,
The graph of the equation 2x-3y=7 is a line.
2x-3y=7
Divide 7 on both sides
2x/7- 3y/7=1
[tex]\frac{x}{7/2}- \frac{y}{7/3} =1[/tex]
x-intercept, 7/2
y-intercept, -7/3
Therefore, x-intercept, 7/2, y-intercept, -7/3.
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what are the coordinates of point A? Enter an exact value or doubt to the nearest hundredth.
The coordinate of Point A is ([tex]\frac{1}{2} ,\frac{\sqrt{3} }{2}[/tex])
Given in the question;
From the figure,
To see the graph:
To find the coordinates of point A.
Now, According to the question and picture :
Point A is on the unit circle and
The angle between point A and the origin and
The X - axis is [tex]\frac{\pi }{3}[/tex] = 60°.
The radius of the unit circle is 1.
So, the x - coordinate of point A is :
X cos 60° = 1/2
The Y coordinate of point A is :
X sin 60° = [tex]\frac{\sqrt{3} }{2}[/tex]
Hence, The coordinate of Point A is ([tex]\frac{1}{2} ,\frac{\sqrt{3} }{2}[/tex]).
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Out of 260 students, 140students like Dashain, 150students
like Tihar and 120 students do not like these festivals.
Represent the above information in a venn-diagram.
find the number of students who like both festivals.
How many students like only one festivals.
Step-by-step explanation:
students who like both festivals
140+150=290
290-260=30
=30
students who like one festival
260-150=110
=110
Hector left his house at (-7,11) on a map of coleville and walked to the zoo at (-7,3) from there he walked east to his friends house. He walked a total distance of 25... if each unit on the map represents one block, what are the coordinates of Hectors friends house?
The coordinates of Hector's friend's house are (18,3).
What is the Coordinate System?A Cartesian coordinate system or coordinate system can be used to locate any point, and that point can then be shown as an ordered pair (x, y) known as coordinates. The origin, symbolized by the letter "O," is the point where the two number lines cross. The X-axis and Y-axis of a number line are the horizontal and vertical axes, respectively.Given:
Coordinates of Hector's house = (-7,11)
Coordinates of zoo = (-7,3)
He walked a total distance of 25 blocks from the zoo towards the east.
This means that he walked horizontally on the y-axis to reach his friend's house. So, the y-coordinate remains 3 and only the x-coordinate varies.
To find the coordinates of Hector's friend's house,
As given each unit on the map represents one block.
25 units = 25 blocks
Adding 25 units to the x- coordinate of the zoo keeping the y-coordinate same to obtain the required coordinates.
- 7 + 25 = 18
Therefore, the coordinates of Hector's friend's house are (18,3).
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help me please help help
According to the solving the following equation:
The standard form: x³ + 3x² - 6x - 8
degree: 3
constant term: 8
How are polynomials created?A polynomial is a mathematical equation made up of variables, constants, and exponents that are mixed using addition, subtraction, multiplication, and division operations.
What are the polynomial's rules?No part of an algebraic expression should be - Variables' square roots. variable powers that are fractional. variable powers that are negative. variables in any fraction's denominator.
According to the given data:Given polynomial, (x + 4) (x - 2) (x + 1)
Keeping the third bracket constant while simplifying the first two results in,
= (x² - 2x + 4x - 8)(x +1 )
= (x² + 2x - 8)(x+1)
On further simplifying we get,
= x³ + 2x² +x² -8x +2x -8
= x³ + 3x² - 6x - 8
So, the standard form is x³ + 3x² - 6x - 8 , degree is 3, leading co-efficient is 1 and the constant term is -8
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Find the equation of the line that is parallel to the line y = -3x + 2 and passes through the point (-8 , 1). Write the equation in the point slope form.
Please help !!
(College Algebra)
Answer:
y - 1 = - 3(x + 8)
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 3x + 2 ← is in slope- intercept form
with slope m = - 3
• Parallel lines have equal slopes
the equation ofa line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
here m = - 3 and (a, b ) = (- 8, 1 ) , then
y - 1 = - 3( x - (- 8) ) , that is
y - 1 = - 3(x + 8)
In September, a website had 12,719 visitors. In October, the website had 24,150 more visitors
than it did in September. The website had the same number of visitors in November as it did in
October. How many visitors did the website have in September, October, and November
combined?
Answer:
86457
Step-by-step explanation:
Find measure of angle g rounded to the nearest degree
We need to know about trigonometry to solve this problem. The measure of angle G is 27.9°
Trigonometry is related to functions of angles and their applications. There are six main functions of an angle, sine, cosine, secant,cosecant,tangent and cotangent. Here in this question we know the measure of all the sides of the triangle, and the angle T is 90°. We will be using the function tangent(tan) to solve for angle G. The base of the triangle is RG and the height is TR.
RG=8 TR=15
tan G=base/height=RG/TR=8/15=0.533
G=[tex]tan^{-1}[/tex] 0.53=27.9°
Therefore the measure of the angle G is 27.9°.
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A table shows temperature changes over a period of a week.
a. Why would a circle graph inaccurately display the data?
b. Which type of graph would best display the data?
a) A circle graph inaccurately displays the data because the data is not about parts of a whole.
b) Line graph would best display the data.
What are circle graphs?A circle is divided into sectors that each represent a component of a whole to create a circle graph, which is a visual representation of data.
What are line graphs?An individual data point is connected by a line in a line graph, sometimes referred to as a line plot or a line chart. A line graph shows numerical values over a predetermined period of time.
a) Since circle graphs are designed to depict data consisting of parts of a whole, a data set consisting of temperature variations over the course of a week would be wrongly displayed by one.
b) Since line graphs are the most appropriate for a data set that is tied to time, a line graph would be the most effective way to display the given data.
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Andrea is buying some new shirts and sweaters. She is able to buy 5 shirts and 3
sweaters for $89 or she is able to buy 9 shirts and 8 sweaters for $207. How much
does a shirt cost? How much does a sweater cost?
Answer: Shirt = $7 and Sweater = $18
Step-by-step explanation:
5 Shirts, 3 sweaters = $89 (1)
9 Shirts, 8 sweaters = $207 (2)
1 Shirt = $?
1 Sweater = $?
Shirts = x
sweaters = y
(1) -> 5x + 3y = 89
(2) -> 9x + 8y = 207
(1) * 8 = 40x + 24y = $712
(2) * 3 = 27x + 24y = $621
(1) single out 24y -> 24y = $712 - 40x
put value of 24 y into (2)
(2) -> 27x + $712 - 40x = $621
Now solve
-13x = $-91
remove negative -> 13x = $91
x = $7
So a shirt is $7
And we can put $7 into (1) at the start -> 5(7) + 3(y) = $89
35 + 3y = $89
3y = $54
y = $18
Hence x = $7 and y = $18
So Shirt = $7 and Sweater = $18
A ball is thrown into the air with an upward volocitt o 12ft/se. The equation for the ball’s heigh (h) at any time (t) is h (t) =-4t^2+12t+5 find the time(s) at which the ball reaches a height of 10ft. Express solutions as decimals rounded to tenths place. Separate solutions with a comma with leaving any space
The required time at which the ball reaches a height of 10 ft is 0.5 sec.
Given that,
A ball is thrown into the air with an upward velocity o 12ft/s. The equation for the ball’s height (h) at any time (t) is h (t) =-4t^2+12t+5 find the time(s) at which the ball reaches a height of 10ft.
Here,
Given equation,
h(t) =-4t²+12t+5
For height 10 ft time,
10 = -4t² + 12t + 5
4t² - 12t + 5 = 0
4t² -10t - 2t + 5 = 0
2t(2t - 5) - 1(2t - 5) = 0
(2t-1)(2t -5) = 0
t = 1/2, 5/2 (5/2 can be negelected)
Thus, the required time at which the ball reaches a height of 10 ft is 0.5 sec.
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ken and hamid run around a track it takes ken 80 seconds to complete a lap it takes hamid 60 seconds to complete a lap how many laps would they have won to both meet on the starting line
When Ken and Hamid race around a track, Ken completes a lap in 80 seconds while Hamid completes a lap in 60 seconds. ken will run 3 laps where as Hamid will run 4 laps.
Given that,
When Ken and Hamid race around a track, Ken completes a lap in 80 seconds while Hamid completes a lap in 60 seconds.
We have to find if they had faced off on the starting line, how many laps would they have won.
We have to find the LCM of the 80 and 60.
The prefix "LCM" stands for "Least Common Multiple." The smallest multiple that two or more numbers share is known as the least common multiple.
LCM of 80 and 60 is 240
240=80×3
ken will complete 3 laps.
240=60×4
Hamid will complete 4 laps.
Therefore, ken will complete 3 laps where as Hamid will complete 4 laps.
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Is the Ordered Pair (3. – 2) a solution to the following equation? 3x - 2y = 13
Yes, the Ordered Pair is a solution to the equation.
No, the Ordered Pair is NOT a solution to the equation.
greastest common factour and the distrabutive property 18+24
Answer:
6(3 + 4)
Step-by-step explanation:
GCF of 18 and 24 is 6
6 (3 + 4)
I hope this helps!
pls help i need you
this is a maths question and i really hope the first person to see this question solves it
The percentage profit on the cost of the skirt is 11.1%
Here, the cost of gloves is £4
And the profit on gloves is 100% which will be equal to 4
The selling price of gloves will be = 8
As given in the question,
The total selling price of both items is £48
So, the selling price of a skirt will be = 48-8
= 40
Now, let the Total Cost of both items be x
Then, x*120÷5= 48
On solving the equation we get the x= 40
So, the cost price of the skirt will be = 40 - 4 = 36
Profit percentage of the skirt =( Selling price - cost price÷ cost price)*100
= (40-36÷ 36)*100
=(4÷ 36)*100
= 11.1℅
Hence, the profit percentage on the skirt will be 11.1℅
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16 Oz for $2,24 ounces for $3
Using Unitary Method 16 Oz for $2,24 ounces for $3 is a true statement.
As given in the question,
16 Oz for $2,24 ounces for $3 is solved by Unitary Method as follows:
16 Oz for $2
24 ounces for $3
Above statement is true.
If $2 fetches 16 Oz
then $1 will fetch 8 Oz
hence $3 will fetch 24 Oz (by Unitary Method)
Thus the given statement is true.
Alternately, the statement can be verified to be true or false as follows:
16 Oz for $2
1 Oz for $(2/16)
24 Oz for $ (24x2/16) = $3
Therefore, the given statement is valid and true. The Unitary Method has been applied either way to check the validity of the given statement and found to be valid (true). It is worthwhile to mention that Oz stands for ounces (abbreviation)
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Which angle relationships are correct? check all that apply. ∠1 and ∠8 are alternate exterior angles. ∠4 and ∠6 are same side interior angles. ∠5 and ∠7 are vertical angles. ∠2 and ∠8 are corresponding angles. ∠3 and ∠6 are alternate interior angles.
A) ∠1 and ∠8 are alternate exterior angles
B) ∠4 and ∠6 are same side interior angles
E) ∠3 and ∠6 are alternate interior angles
Let's check the each options.
A) ∠1 and ∠8 are alternate exterior angles
The exterior angles are ∠1, ∠2, ∠7 and ∠8.
This is correct.
B) ∠4 and ∠6 are same side interior angles.
∠4 and ∠6 are inside the line m and n, they are in the same side, you can see it on the figure.
This is correct
C) ∠5 and ∠7 are vertical angles
∠5 and ∠7 are supplementary angles.
This is not correct.
D) ∠2 and ∠8 are corresponding angles
These are same side of exterior angles.
This is not correct.
E) ∠3 and ∠6 are alternate interior angles
These are interior angles and alternative to each other.
This is correct.
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Tickets to a Broadway show cost $40 for adults and $10 for children. The total receipts for 1420 tickets at one performance were $41,800. How many adult and how many child tickets were sold?
The number of adult tickets sold is 920 , and the number of child tickets sold is 500 .
In the question ,
it is given that
ticket cost for adult = $40
ticket cost for children = $10
and the number of total tickets sold is 1420
let the number of adult tickets sold = x
and the number of children ticket sold = y
According to the question
total tickets sold = number of adult tickets sold+ number of children ticket sold
Substituting the values, we get
x+y = 1420
y = 1420 - x ...(i)
the total receipts for adult tickets= $40x
the total receipts for children tickets= $10y
given that total amount of tickets sold = $41800
According to the question
40x + 10y = 41800
Substituting the value of y from equation(i) , we get
40x + 10(1420-x) = 41800
40x + 14200 - 10x = 41800
30x + 14200 = 41800
30x = 27600
x = 920
and y = 1420 - 920
y = 500
Therefore , the number of adult tickets sold is 920, and the number of child tickets sold is 500 .
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The slope of MN¯¯¯¯¯¯¯ is −3.
Which segments are parallel to MN¯¯¯¯¯¯¯?
The segments are parallel to TU and WX
So, The correct options are 2 and 3
Given,
The slope of MN is -3
To find the which segments are parallel to MN?
Now, According to the given options:
We know that,
The slope of parallel lines are always equal. Therefore the line which have slope -3 is parallel to MN.
The formula to find the slope is:
m = [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]
Now, Slope for PQ,
[tex]m_{1} = \frac{7-6}{8-3}[/tex] = 1/5
Slope for TU,
[tex]m_{2} = \frac{10-1}{5-8} =[/tex] -3
Slope for WX,
[tex]m_{3} = \frac{0-6}{4-2} = \frac{-6}{2} =[/tex] -3
Slope for RS,
[tex]m_{4} = \frac{2-3}{4-1} =[/tex] -1/3
Therefore, The segments are parallel to TU and WX
So, The correct options are 2 and 3
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