I assume your question was to simplify the following fraction ;
[tex]{:\implies \quad \sf \dfrac{4a+3}{5}-\dfrac{2a+3}{3}}[/tex]
Taking LCM will yield ;
[tex]{:\implies \quad \sf \dfrac{3(4a+3)-5(2a+3)}{15}}[/tex]
[tex]{:\implies \quad \sf \dfrac{12a+9-10a-15}{15}}[/tex]
[tex]{:\implies \quad \boxed{\bf \dfrac{2a-6}{15}}}[/tex]
This is the required answer
Which counterexample shows that the conjecture "Every parallelogram is also a rectangle" is false?
A. A square is both a rhombus and a parallelogram.
B. A pentagon has five sides but is not a parallelogram.
C. A rectangle is a parallelogram.
D. A rhombus is a parallelogram but is not a rectangle.
Answer:
D
Step-by-step explanation:
A doesn't work because a square is not a rhombus
B is out of context
C is true
D makes the most sense to the original question
solve this system of equations using substitution, show your work (ANSWER QUICK PLEASE)
Answer:
[tex]\boxed{\sf{y=-5 \quad x=-18}}[/tex]Step-by-step explanation:
The terms x and y must be substituted to isolate one side of the equation.
y=5/6x+10 and -x+6y=-12First, you have to substitute by the y=5/6x+10.
[tex]\sf{-x+6\left(\dfrac{5}{6}x+10\right)=-12}[/tex]
Solve.
[tex]\sf{4x+60=-12}[/tex]
Subtract by 60 from both sides.
4x+60-60=-12-60
Solve.
4x=-72
Divide by 4 from both sides.
4x/4=-72/4
Solve.
Divide the numbers from left to right.
-72/4=-18
x=-18
Substitute: x=-18
[tex]\sf{y=\dfrac{5}{6}\left(-18\right)+10}[/tex]
Solve.
y=5/6(-18)+10=-5
y=-5
Therefore, the solution is y=-5 and x=-18, which is our answer.I hope this helps you! Let me know if my answer is wrong or not.
simplify 1/2+3/4-2/7×(1/3+2)
Answer:
the answer is 7/12..
thank u
PLEASE HELPP QUICK!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
See below.
Step-by-step explanation:
Vertical angles can be found by adding the two degrees, and if they equal 180, they are vertical.
94 and 86
119 and 61
-hope it helps
Marcelle and Amia each buy two “Treat Dispenser” shirts from Ava’s website for $22 each. They live in South Dakota, where the sales tax is 6.4%. Marcelle calculates his total bill by finding the sales tax for each individual shirt, multiplying by 2, and then adding it to the retail price of both shirts. Amia calculates her bill by adding up the total cost of both shirts, finding the sales tax of the sum, and then adding it to the retail price of both shirts. Whose method is correct, and what was the total bill for each of their orders?
Answer: Amia is correct
Step-by-step explanation:
the total bill would be $46.82
There are 63 female performers in a dance recital. the ratio of men to women is 5:9. how many men are in the dance recital?
Bonjour !
Please solve My maths problem.
If X = 2y +6, then find the value of x³ - 8y³ - 36xy -216.
Hint - answer is 0
Kindly Show steps
I desperately need help with this question.
Correct person will be appreciated and brainlist will be awarded
Irellevant answer won't be tolerated and will be reported immediately.
Thank you in. advance !
y = 1
Step-by-step explanation:
X = 2y + 6
X³ - 8y³ - 36xy - 216 = 0
(subsitute)
(2y + 6)³ - 8y³ - 36(2y + 6)y -216 = 0
(concentrate on first part)
(2y + 6)(2y + 6)(2y + 6)
(4y² + 12y + 12y + 36)(2y + 6)
(4y² + 24y + 36)(2y + 6)
8y³ + 24y² + 48y² + 144y + 72y + 216
(back to full equation)
8y³ + 72y² + 216y + 216 - 8y³ - 36(2y + 6)y - 216 = 0
(factor the last part)
-36(2y + 6)y
y(-72y - 216)
-72y² - 216y
(back to main equation)
8y³ + 72y² + 216y + 216 - 8y³ - 72y² - 216y - 216 = 0
(start to cancel out)
8y³ and -8y³ cancel
72y² + 216y + 216 - 72y² - 216y - 216 = 0
72y² and -72y² cancel
216y + 216 - 216y - 216 = 0
216y and -216y cancel
216 - 216 = 0
those cancel
0y = 0
add 1 to both sides
y = 1.
(I hope this helped)
if a new baseball is labeled $36 what would the new price be if the sign above said 41% off
Answer:
$24.24
Step-by-step explanation:
0.41 x 36 = 14.76
36 - 14.76 =21.24
Hope this helps :)
1. Three friends are at a restaurant for dinner. They decide to split the $90. 00 check equally among the three of them. A. If they decide to leave a 20% tip, what will the total bill be?
b. What will each person pay if the total bill including tip is divided by three?
Answer:
1A.)The tip would be $18, thus meaning the total will shoot up to 108$.
1B.) Divide 3 by 18, and you get $6 per person.
Step-by-step explanation:
Hope this helps!~
The total bill with the tip will be $108.00. Considering this value each person will pay $36.00
PercentageThe percentage is the given definition for a fraction whose denominator is equal to 100. It is represented by %. See the example: [tex]\frac{20}{100}=\frac{1}{5}=0.2*100=20\%[/tex]
The question gives:
3 friendstotal bill without the tip - $90.0020% tipLetter AFor solving this item you should sum the value of the total bill without the tip with the value equivalent to a 20% tip.
Tip=[tex]\frac{20*90}{100} =\frac{1800}{100}=18[/tex]
Total bill= 18+90=108
Letter BFor solving this item you should divide the value of the total bill with the tip by 3 (friends).
Individual Payment= 108/3 = 36
Read more about the percentage here:
brainly.com/question/24304697
Find the surface area and volume of the figure.
(Round to the nearest teeth as needed)
Answer:
Volume;
Let's find the volume of the hemisphere above,
Formula for hemisphere volume:
V = 2/3πr
Where pi(π) is 22/7 or 3.14, and 'r' is the radius.
(extra info:) D/2 = radius
So, diameter in this case is 6,
6/2 = 3 is the radius.
Replace values:-
V = 2/3πr
V = 2/3 x 3.14(3)
V = 2/3 x 9.42
V = 18.84/3
V = 6.28 feet is the volume for the hemisphere.
Now the cylinder's volume,
Cylinder volume formula:
V = π[tex]r^{2}[/tex]h
Where pi(π) is 22/7 or 3.14, 'r' is the radius which is being squared, and 'h' is the height.
Replace values (we figured out radius is 3);
V = π[tex]r^{2}[/tex]h
V = 3.14(3^2) x 10
V = 3.14(9) x 10
V = 28.26 x 10
V = 282.6 feet is the volume of the cylinder.
Add our volumes:-
6.28 + 282.6
= 288.88 feet is our volume.
Surface area;
Now the surface area formula of the cylinder is:
SA = 2πrh(lateral area) + 2π[tex]r^{2}[/tex](area of circle)
Replace values:
SA = 2πrh + 2π[tex]r^{2}[/tex]
SA = 2(3.14) x 10 + 2(3.14) x 3^2
SA = 6.28 x 10 + 6.28 x 9
SA = 62.8 + 56.52
SA = 119.32 is the surface area of the cylinder.
Now the surface area formula of the hemisphere;
SA = 3πr²
Replace values;
SA = 3πr²
SA = 3(3.14) x 3^2
SA = 9.42 x 9
SA = 84.78 is the surface area of the hemisphere.
Add the areas;
119.32 + 84.78
= 204.1 feet is the surface area.
What is the measure of x? Please help asap!
[tex]4x + x = 180[/tex]
[tex]5x = 180[/tex]
[tex]x = \frac{180}{5} = 36[/tex]
Answer:
36
Step-by-step explanation:
This is a Linear Pair. Adjacent (next to) angles that form a straight line. A good rule of thumb for 90% of Geometry, angle relationships are usually either supplementary or congruent. In this case, since they together form a straight line, they are supplementary.
x + 4x = 180
5x = 180
180/5 = 36
If you plug these numbers in, you have a 36 degree angle and a 144 degree angle (sum of 180). Easy way to check your work if ever unsure.
Find the area of the figure below. Use 3.14 to approximate .
Round your answer to the nearest tenth.
Answer:
145.1 m^2
Step-by-step explanation:
(8x15)+(3.14x8)
120+25.12
145.12
round
145.1
Help me please. Don't mind that I answered it, I put whatever so that I can move on to the next page. Show how you did the work!
Answer:
true false false
Step-by-step explanation:
3,4,5 is a common triangle (proof sqrt(3^2+4^2) = 5)
5,6,7 cant exist sqrt(5^2+6^2) doesnt equal 7
5,5,10 cant exist sqrt(5^2+5^2) doesnt equal 10
In the 2004 Summer Olympics, the U.S. won 11 more medals than Russia. Together they won 195 medals. How many medals did the U.S. win?
Answer:
The U.S. won 101 medals.
Step-by-step explanation:
101
Hope it helped and have a great day!
Find the missing dimension. Use the scale 1 : 15.
Actual Figure skater Height: 67. 5 in.
Answer:
4.5 inches
Step-by-step explanation:
1/15 of 67.5
This is if you are looking for the proportional height. That's all I can solve with given this info.
help me please i so need help
Answer:
9
It is 9 because 9 is the only number that multiplied by itself is 81.
HELP ME PLEASE! 20 POINTS!!!
In terms of π, what is the volume of the sphere? Refer to your STAAR 8th Grade Math Reference Sheet for the appropriate formula.
Question 6 options:
360π cubic feet
1800π cubic feet
27000π cubic feet
36000π cubic feet
Answer:
is in the shape of a sphere
diameter = 60 feet
radius = r = 60/2 = 30 feet
Step-by-step explanation:
volume of sphere = 4/3 × π × r³
= 4/3 × π × 30³
=4/3π × 27,000
= 36000π cubic feet
Answer:
36000π cubic feet
Step-by-step explanation:
Given :
Diameter of sphere = 60 feetSolving :
Volume = 4/3πr³But 2r = d or r = d/2Therefore, volume is :⇒ 4/3π(d/2)³⇒ 4/24πd³⇒ 1/6πd³⇒ 1/6 x 60 x 60 x 60 x π⇒ 10 x 3600π⇒ 36000π cubic feetFind the area of each figure.
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Area of a Parallelogram is ~
[tex]\qquad \sf \dashrightarrow \:base \times height[/tex]
[tex]\qquad \sf \dashrightarrow \:7 \times 5[/tex]
[tex]\qquad \sf \dashrightarrow \:35 \: {cm}^{2} [/tex]
find the sum of first 40 terms of 11+14+17+...
Answer:
S₄₀ = 2780
Step-by-step explanation:
there is a common difference between consecutive terms in the sequence, that is
14 - 11 = 17 - 14 = 3
this indicates the sequence is arithmetic with sum to n terms
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
here a₁ = 11 and d = 3 , then
S₄₀ = [tex]\frac{40}{2}[/tex] [ (2 × 11) + (39 × 3) ]
= 20( 22 + 117)
= 20 × 139
= 2780
please help me? it is school related i promise
Answer:
$96.25
Step-by-step explanation:
In the morning, this worker was in for a total of 4 hours. Since the wage is $11/hr, we have to multiply 4 by 11.
11 * 4 = 44
In the afternoon, they worked for 4 hours and 45 minutes. Now, we have to multiply 4 3/4 (which is the fraction form of 4 hours and 45 mins) by 11.
11 * 4 3/4 = 52.25
Now, to find the total pay, we add together both the morning and afternoon pays.
44 + 52.25 = 96.25
Therefore, the total pay is $96.25
I hope this helps!! Have a lovely day!! :)
Answer:
$96.25
Step-by-step explanation:
Hours worked in the morning = 12:00 - 8:00
= 4 hours
Hours worked in the afternoon = 17:30 - 12:45
= 4 hours 45 minutes
Total hours worked = 4:00 + 4:45
= 8 hours 45 minutes
[tex]=8\dfrac{45}{60} \ hours\\\\= 8\dfrac{3}{4}\\\\\\= \dfrac{35}{4} hours[/tex]
Wage = [tex]\dfrac{35}{4}*11[/tex]
= $96.25
Hello people ~
Factorise: x^2 + 7x + 12
Step-by-step explanation:
x^2 + (4+3)X + 12
x^2 + 4x + 3X + 12
X (X + 4) + 3 ( X + 4)
( X + 3) (X +4)
Solving steps:
[tex]\sf \rightarrow x^2\:+\:7x\:+\:12[/tex]
breakdown the following
[tex]\sf \rightarrow x^2\:+\:3x + 4x\:+\:12[/tex]
break the expressions into groups
[tex]\sf \rightarrow \left(x^2+3x\right)+\left(4x+12\right)[/tex]
factor the following
[tex]\rightarrow \sf x\left(x+3\right)+4\left(x+3\right)[/tex]
factor the common term: (x+3)
[tex]\rightarrow \sf \left(x+3\right)\left(x+4\right)[/tex]
Please help I was able to do the hard part but I don’t know how to crack the code
Step-by-step explanation:
what do you mean by "the hard part" ?
anyway,
we need to sum the numbers in every column creating 5 sums.
then we need to multiply these 5 numbers (product) and divide the result by 16 (we need 1/16 of that product).
so, we have
5 + 1 = 6
1 + 6 + 4 + 8 = 19
2 + 1 + 3 = 6
2 + 5 = 7
1 + 0 + 7 = 8
6×19×6×7×8 = 38,304
38,304 / 16 = 2394
that is your code : 2394
The height of a triangle is six times the base. Write an expression for the area of the triangle and let x be the base.
Answer:
If
Hight = 6×base
And
Base = X
Then
Hight = 6 × X
Which is equivalent to
Hight = 6X
A card is drawn from the cards numbered from 8 to 27, find the probability that drawn card is divisible by 6 or 7 without remainder.
Answer:
1/4
Step-by-step explanation:
from 8 to 27, there are 5 number that are divisible by 6 or 7.
=> 12,14,18,21,24
=> number of favourable outcomes = 5
=> numer of possible outcomes = 20
probability = no. of favourable outcomes/ no. of possible outcomes
=> probability = 5/20
=> 5/20 = 1/4
The following structure is composed of three right rectangular prisms: two that each measure 12 inches by 10 inches by 5 inches and one right rectangular prism that measures 10 inches by 8 inches by 36 inches. What is the total volume of the structure? Show your work and/or explain your reasoning..
The volume of the stucture made from three rectangular prism is 4080 ft³
What is volume?Volume is the amount of space occupied by a three dimensional shape or object.
The volume of the rectangular prism = length * width * height = 12 * 10 * 5 = 600 ft³
The volume of the other prism = length * width * height = 10 * 8 * 36 = 2880 ft³
Volume of the structure = 600 ft³ + 600 ft³ + 2880 ft³ = 4080 ft³
The volume of the stucture made from three rectangular prism is 4080 ft³
Find out more on volume at: https://brainly.com/question/12410983
help help i need it can you?
Karissa rides her bicycle for 4 hours and is 22 miles from her house. After riding for 8 hours, she is
42 miles away
What is Karissa's average rate during her trip?
__ miles per hour
Answer:
5.5
Step-by-step explanation:
We nned to divide to solve this!!
22/4 = 5.5
She is going 5.5 mph!!
Have an amazing day!!
Please rate and mark brainliest!!!!
Please help I will give brainliest.
Answer:
See below
Step-by-step explanation:
1. Two numbers that multiply to 17 and add to 18.
17 x 1 = 1717 + 1 = 181 and 172. Two numbers that multiply to 36 and add to -20.
-18 x -2 = 36-18 + -2 = -20-18 and -2simplify the expressions by applying the properties of potentiation...
Answer:
[tex] \dfrac{x^5}{y^{10}} [/tex]
Step-by-step explanation:
[tex] \dfrac{x^2y^{-6}}{x^{-3}y^4} = [/tex]
[tex] = x^{2 - (-3)}y^{-6 - 4} [/tex]
[tex] = x^5y^{-10} [/tex]
[tex] = \dfrac{x^5}{y^{10}} [/tex]
Suppose $500 is divided into two bank accounts. One account pays 15% simple interest per year and the other pays 10%. After three years there is a total of $200 in interest between the two accounts. How much was invested into the bank account that pays 15% simple interest (rounded to the nearest cent)?
Answer:
x = amount invested in the 15% account
x*.15*3 + (500-x)*.1*3 = 200
x = 333.33
so, 500-333.33 = 166.67 at 10%
Step-by-step explanation:
Answer:
x = amount invested in the 15% account
x*.15*3 + (500-x)*.1*3 = 200
x = 333.33
so, 500-333.33 = 166.67 at 10%
Step-by-step explanation:
sorry if i did it wrong