Answer:
about 72 dollars
Step-by-step explanation
"about" tells us to round our numbers. Therefore, 7.8 becomes 8. As each pound is $8.99, we multiply the two and get 71.92, which is "about" 72.
Answer:
$72
Step-by-step explanation:
To find the cost, multiply the price per pound by the number of pounds.
8.99(7.8)
= 70.12
This is closest to $72
Which term can be used in the blank of 36x3−22x2−__ so the greatest common factor of the resulting polynomial is 2x? Select two options.
2
4xy
12x
24
44y
Answer:
[tex]4xy[/tex][tex]12x[/tex]-------------
[tex]36x^3,\:22x^2,\:4xy[/tex]
Factor 36x³
[tex]2\cdot \:2\cdot \:3\cdot \:3\cdot \:x\cdot \:x\cdot \:x\\[/tex]Factor 22x²
[tex]11\cdot \:2\cdot \:x\cdot \:x[/tex]Factor 4xy
[tex]2\cdot \:2\cdot \:x\cdot \:y[/tex]Common factor
[tex]2x[/tex]---------------------
[tex]36x^3-22x^2-12x[/tex]
Factor 36x³
[tex]2\cdot \:2\cdot \:3\cdot \:3\cdot \:x\cdot \:x\cdot \:x[/tex]Factor 22x²
[tex]11\cdot \:2\cdot \:x\cdot \:x[/tex]Factor 12x
[tex]2\cdot \:2\cdot \:3\cdot \:x[/tex]Common factor
[tex]2x[/tex]OAmalOHopeO
The roots of the quadratic equation x^2/a^2-b^2=a+b/a-b are
The Line segments are translated 2 units to the left to form A’B’ and C’D’. Which statement describes A’B’ and C’D’?
Answer:
Line segments A'B' and C'D' do not intersect and are the same distance apart as AB and CD.
Step-by-step explanation:
Two Fair six-sided dice are rolled and the face values are added. What is the probability of obtaining an even number less than 7?
Answer:
The probability is 1/4
Step-by-step explanation:
In this question, we are interested in calculating the probability of obtaining even numbers which are less than 7, when two fair six-sided dice are rolled.
Now, mathematically the probability will be;
number of even numbers less than 7/total number of outcomes
Firstly, the total number of outcomes is 36. Now to get the number of even numbers less than 7, we need to construct tables that could show our sample space.
Please check attachment for this.
Now from the constructed table, we can find the number of even numbers less than 7.
By counting, we can see that the we have 9 even numbers which are less than 7
Thus, the probability of selecting an even number which is less than 7 is;
9/36 = 1/4
help me find x please
Answer:
[tex]3\sqrt{3}[/tex]
[tex]\left(\frac{\left(6\cdot \:\:\:sin\left(30\right)\right)}{sin\left(90\right)}\right)^2+x^2=36[/tex]
Step-by-step explanation:
Trevor thought there would only be 8 teams in the soccer tournament, but there were 17. What was his percent error?
Answer:
Around 52.94%
Step-by-step explanation:
We can use the percentage error formula, which is
[tex]\frac{|approx-exact|}{exact}\cdot100[/tex].
The approximated value was 8, however the exact value was 17, so we can substitute inside the equation.
[tex]\frac{|8-17|}{17}\cdot100 \\\\\frac{|-9|}{17}\cdot100 \\\\\frac{9}{17}\cdot100 \\\\0.5294...\cdot100 \\\\52.94[/tex]
Hope this helped!
Solve the simultaneous equations
! ! 5x+3y=41
! ! 2x+3y=20
Answer:
1) x= 7 and y =2
Step-by-step explanation:
mark me as brainliest please
Answer:
x =7
y =2
eqn 1 - eqn2
5x-2x=3x
3y-3y=0
41-20=21
3x=21
x=7
in eqn 1;
5×7)+3y=41
35+3y=41
3y=6
y=2
after allowing 5 percent discount on the marked price of a radio 10 percent vat is charged on it , then its price became rs 1672 .how much amount was given in the discount
Answer:
Marked price= RS 1600
Discount= RS 80
Step-by-step explanation:
Let
x= the marked price
Discount= 5%
Discount = 5% of x
=0.05x
Cost after discount = x-0.05x
= 0.95x
Vat=10%
=0.1
Cost of the radio including vat=0.95x + 0.1(0.95x)
=0.95x + 0.095x
=1.045x
Price became rs 1672
Therefore,
1.045x=1672
Divide both sides by 1.045
x= RS 1600
Discount=5% of 1600
=0.05 * 1600
=rs 80
Dimitri and Jillian were trying to solve the equation:(x+1)(x+3)=12(x+1)(x+3)=12(x+1)(x+3)=12left parenthesis, x, plus, 1, right parenthesis, left parenthesis, x, plus, 3, right parenthesis, equals, 12Dimitri said, "The left-hand side is factored, so I'll use the zero product property."Jillian said, "I'll multiply (x+1)(x+3)(x+1)(x+3)(x+1)(x+3)left parenthesis, x, plus, 1, right parenthesis, left parenthesis, x, plus, 3, right parenthesis and rewrite the equation as x2+4x+3=12x^2+4x+3=12x2+4x+3=12x, squared, plus, 4, x, plus, 3, equals, 12. Then I'll solve using the quadratic formula with a=1a=1a=1a, equals, 1, b=4b=4b=4b, equals, 4, and c=3c=3c=3c, equals, 3.Whose solution strategy would work?Choose 1 answer:Choose 1 answer:(Choice A)AOnly Dimitri's(Choice B)BOnly Jillian's(Choice C)CBoth(Choice D)DNeither
Answer:
D. NeitherStep-by-step explanation:
The equation that Dimitri and Jillian were trying to solve is expressed as
(x+1)(x+3) = 12. They are both solving this equation to get the value of x.
Based on the their suggestion, Jillian strategy would have been the best and the only one that will work for us in solving the equation but he didn't take cognizance of 12 when using the formula in his second step hence None of them are correct. The following steps should have been taken;
Step 1: Multiply out the expression (x+1)(x+3)
= (x+1)(x+3)
= x(x)+ 3x+x+1(3)
= x² + 3x + x + 3
= x² + 4x + 3
He got x² + 4x + 3 on expansion
Step 2: He should have rewrote the equation as shown;
x² + 4x + 3 = 12
x² + 4x + 3 -12 = 0
x² + 4x -9 = 0
Step 3: He used the quadratic formula to factorize the expression x² + 4x + 3 where a = 1, b = 4 anad c = -9
x = (-b±√b²-4ac)/2a
x = (-4±√(4)²-4(1)(-9))/2(1)
x = -4±√16+36/2
x = (-4±2√13)/2
x = (-4+2√13)/2 or (-4-2√13)/2
x = -2+√13 or -2-√13
Hence Neither of them is correct. Jillian is almost correct but he should have equated the equation to zero by taking 12 into consideration before factorizing.
Are the ratios 1:2 and 13:18 equivalent?
Answer:
No.
Step-by-step explanation:
If I multiplied 2 by 9 to get 18, I would have to do the same to the 1. This would make the ratio 9:18, not 13:18.
Therefore, these two ratios are not equivalent.
Answer:
123456789101112131415161718192021222324252627282930
44 pounds is equivalent to_____^a0 kilograms.
Answer:
19.504
Step-by-step explanation:
divide the mass value by 2.205
PLEASE HELP ASAP!!!! A survey was taken of students in math classes to find out how many hours per day students spend on social media. The survey results for the first-, second-, and third-period classes are as follows: First period: 2, 4, 3, 1, 0, 2, 1, 3, 1, 4, 9, 2, 4, 3, 0 Second period: 3, 2, 3, 1, 3, 4, 2, 4, 3, 1, 0, 2, 3, 1, 2 Third period: 4, 5, 3, 4, 2, 3, 4, 1, 8, 2, 3, 1, 0, 2, 1, 3 Which is the best measure of center for second period, and why? Mean, because there are no outliers that affect the center Median, because there is one outlier that affects the center Interquartile range, because there is one outlier that affects the center Standard deviation, because there are no outliers that affect the center
Answer:
Answer: D : Median, because there is 1 outlier that affects the center
Step-by-step explanation:
Mean and median terms are use to measure the central tendency in a data set.
Mean is the best measure of center if there is no outlier present in the data otherwise median is the best measure of center if there is outlier present because outliers effects the means value of a data but not the median value.
In the third period, there is an outlier present as 8 that affects the center, then the best measure of center for third period must be Median.
If C.P. = Rs. 480, S.P. =Rs.528 find profit and profit percent
In this question first you should find profit amount by using formula and you should use profit amount in profit percentage formula then you should calculate it
An angle measures 51.4° less than the measure of its complementary angle. What is the measure of each angle?
Answer:
70.7 deg, 19.3 deg
Step-by-step explanation:
The sum of the measures of complementary angles is 90 deg.
One angle measures x.
The other angles measures 51.4 deg less than x, or x - 51.4.
The sum of their measures equals 90.
x + x - 51.4 = 90
2x - 51.4 = 90
2x = 141.4
x = 70.7
x - 51.4 = 70.7 - 51.4 = 19.3
Answer: 70.7 deg, 19.3 deg
can someone pls help me on number 4
Answer:
Step-by-step explanation:
Do this by converting the numbers to decimals
9 1/4 inches / 12 inches / foot = .770833 feet to 6 decimal places.
9.770833 feet is the length of the given board.
11.25 inches = 11.25 / 12 = 0.9375 feet
So the amount of board used is 9.770833/0.9375 = 10. 42222 feet used in cutting up the board.
Therefore there is 10.42222187 board cut up. The decimal is the remainder.
0.42222187 * 12 = 5.066 inches or rounded to 5 inches.
A triangular tent has a perimeter of 29 meters. Side a is 3 meters shorter than twice side b and side c is 4 meters longer than side b, Find the length of side b.
A) 11 meters
B) 14 meters
C) 9 meters
D) 7 meters
Answer:
D) 7 meters
Step-by-step explanation:
So I would start this off by plugging in the variables into side B. So if we were to plug 7 into B there would be 22 meters left of the perimeter. Therefore meaning 22 between A and C. Now A is 3 meters shorter than TWICE of B. So 7 times 2 is 14 and 14 minus 3 is 11. now we have 11 and 7 which equals 18. 29 minus 18 giving us 11 left. 11 is C. Now it says c is 4 meters longer than B so it 7 plus 4 is 11. And everything adds up. HOPE THIS HELPS.
Answer:
Side b=7 meters
Step-by-step explanation:
Given:
Perimeter of triangle=29m
Side a=2b-3
Side b=b
Side c=4+b
To find:
Side b
Solution:
P of triangle=a+b+c
29=2b-3+b+4+b
29=2b+b+b+4-3
29=4b+1
29-1=4b
b=28/4
b=7m
I hope my answer is right.
It costs $0.0015 to leave a lightbulb on for an hour. How much would it cost
to have a lightbulb on for a month? (Helpful conversions: There are 24 hours
in a day, and there are 30 days in a month).
04 Name the
Name the property
1(-15) X (-56)
1) (-72) X 26 26 X4-72)
m) 3% (-40) X 32 X 11-463) X32
(-15) X 105 (-15) X (100$;]-1-15) %100 f15XSI
Answer:
integers integers OK ok ok ok ok ok okWhat is the midpoint of a line segment connecting the points (−4,6) and (8,2) Need answer fast
Answer:
-12 & -18
Step-by-step explanation:
Answer:
Step-by-step explanation:
For what values of x will the square and the rectangle is shown below have the
same perimeter?
Perimeter of square = Perimeter of rectangle
=> 4(side) = 2(length + width)
=> 4(x+5) = 2[(x+3)+(x+7)]
=> 4(x+5) = 2[x+3+x+7]
=> 4x + 20 = 2x + 6 + 2x + 14
=> 4x + 20 = 4x + 20
=> 4x - 4x + 20 = 20
=> 20 = 20
So, any real number is the solution of this equation. It means that for every real number as x, the perimeter of the square will be same as the perimeter of the rectangle.
Don’t know. Someone help a person!Ty
Answer:
3rd option
Step-by-step explanation:
8x³ - 27y³ ← is a difference of cubes and factors in general as
a³ - b³ = (a - b)(a² + ab + b²)
8x³ - 27y³
= (2x)³ - (3y)³
= (2x - 3y)((2x)² + 2x(3y) + (3y)²) , that is
= (2x - 3y)(4x² + 6xy + 9y²)
Look at this cone:
,,
We know
[tex]\boxed{\sf \star TSA_{(Cone)}=\pi r(r+\ell)}[/tex]
[tex]\\ \sf\longmapsto TSA_{(Old\:Cone)}=2
\dfrac{22}{7}\times 2(2+3)[/tex]
[tex]\\ \sf\longmapsto TSA_{(Old\:Cone)}=\dfrac{44}{7}(5)[/tex]
[tex]\\ \sf\longmapsto TSA_{(Old\:Cone)}=\dfrac{220}{7}[/tex]
[tex]\\ \sf\longmapsto TSA_{(Old\:Cone)}=31.4ft^2[/tex]
Now
New slant height =2(3)=6cmNew radius=2(2)=4cm[tex]\\ \sf\longmapsto TSA_{(New\:Cone)}=\dfrac{22}{7}\times 4(4+6)[/tex]
[tex]\\ \sf\longmapsto TSA_{(New\:Cone)}=\dfrac{88}{7}(10)[/tex]
[tex]\\ \sf\longmapsto TSA_{(New\:Cone)}=\dfrac{880}{7}[/tex]
[tex]\\ \sf\longmapsto TSA_{(New\:Cone)}=125.7cm^2[/tex]
So
[tex]\\ \sf\longmapsto \dfrac{TSA_{(New\:Cone)}}{TSA_{(Old\:Cone)}}=\dfrac{125.7}{31.4}[/tex]
[tex]\\ \sf\longmapsto \dfrac{TSA_{(New\:Cone)}}{TSA_{(Old\:Cone)}}=\dfrac{4}{1}[/tex]
[tex]\\ \sf\longmapsto\underline{\boxed{\bf{ {TSA_{(New\:Cone)}}:{TSA_{(Old\:Cone)}}=4:1}}}[/tex]
What is the volume of the sphere below?
500/3 π units
Step-by-step explanation
first state the formula wic is 4/3πr^3 then after u multiply 4 times the radius wic is
4×5^3
=500/3π units
a shopkeeper allows 10% discount on his goods to make 20% profit, if he sold a watch for Rs.10170 with 13% vat, by what percent is the discount to be increased to make only 12% profit
Answer:
16% of MP
Step-by-step explanation:
Key concepts to learn :
Discount is always applied on marked price.
Profit = SP - CP
VAT is applied on Selling Price
SP = 10170/113 x 100 = 9000
If profit is 20% then :
CP = 9000/120 x 100 = 7500
MP = 9000/90 x 100 = 10000
For 12% profit, SP = 7500 x 112/100 = 8400
=> SP = 8400/10000 x 100 = 84% of MP
=> Discount = 16% of MP
The length of a rectangle is three times its breadth if the breadth is decreased by 2 m and breadth increased by 4 m the area of the rectangle is decreased by 1/3
a) form a quadratic equation
Answer:
Let the breadth is x, then the length is 3x.
The area is:
A = lw = 3x*x = 3x²The breadth is decreased by 2 m:
w = x - 2The length is increased by 4m:
l = 3x + 4The area is now:
(x - 2)(3x + 4) = 3x² - 1/3(3x²)3x² + 4x - 6x - 8 = 2x²x² - 2x - 8 = 0x² - 2x + 1 = 9(x - 1)² = 3²x - 1 = 3x = 4The breadth was 4 m and the length 12 m
i need to know the area
Answer:
I got option 1.
Step-by-step explanation:
See pictures
there are 3468 apples in a basket how many children can share them equally
Answer:
3468 children.
Step-by-step explanation:
One apple per person.
In circle O, AC and BD are diameters. Circle O is shown. Line segments B D and A C are diameters. A radius is drawn to cut angle C O C into 2 equal angle measures of x. Angles A O C and B O C also have angle measure x. What is mArc A B?
Answer:
120
Step-by-step explanation:
Got it right on the assigment
Answer:
c. 120
Step-by-step explanation:
Jak policzyc: [tex](2x^2)^2[/tex] ?
I also need to know this one pretty soon pleaseee
Answer:
128
Step-by-step explanation: