The solution of the equation 2(4-3x)+5(2x-3) = 20-5x+9 is 3.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is 2(4-3x)+5(2x-3) = 20-5x+9
x is the variable in the equation.
Plus and minus are the operators
Apply distributive property.
8-12x+10x-15=20-5x+9
Take the variable terms on one side and constants on other side
5x-12x+10x=20-8-15+9
3x=6
Divide both sides by 3
x=2
Hence, the solution of the equation 2(4-3x)+5(2x-3) = 20-5x+9 is 3.
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9p - p + 8q - 40 + 12q
Answer: 8p+20q-40
Step-by-step explanation:
Answer:
8p+20q-40Step-by-step explanation:
[tex]9p - p + 8q - 40 + 12q[/tex]
Collect like terms and simplify
[tex]9p - p + 8q + 12q - 40 \\ 8p + 20q - 40[/tex]
A bicycle shop advertised all mountain bikes priced at a 1/3
discount. If the original price is $432, what is the sales
price?
Answer:
$288
Step-by-step explanation:
1/3 of a discount is = 2/3 of price
Multiply 432 by 2/3 and get 288.
Answer:
$288
Step-by-step explanation:
A 1/3 discount is .3333333... percent and so you simplify to .33 or 33% of a discount.
Multiply 432x.33 = 144
Subtract 432-144 to get 288 as you answer
_____________________________________
Answer:what is this
Step-by-step explanation:
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Question 11 of 11 -
Geo S5-6_FSQ_OL_FY21
Question: 1
Triangle ABC is rotated 180 degrees around point B and then dilated to form triangle DBE as shown.
с
D
A
B
E
Which postulate or theorem establishes that the triangles are similar?
Answer:
AA similarity
Step-by-step explanation:
Your question is not well presented.
See attachment
Given
Triangles ABC and DBE
Required
Which postulate supports the similarities of ABC and DBE
At the first transformation (180 degrees rotation) both triangles maintain SSS and AAA relationships. i.e Side-Side-Side and Angle-Angle-Angle
This is so because rotations do not alter the side lengths; neither does it alter the angles.
When the second transformation (dilation) takes place, the lengths of both triangles ABC and DBE become different because dilation alters side lengths.
However, angle measurements remain unaltered.
Hence, AAA similarity answers the question
Marco needs to buy some cat food At the nearest store, 3 bags of cat food cost $16.50. How muc
would Marco spend on 5 bags of cat food?
what is -6=x/18 please
Answer: -108
Step-by-step explanation:
-6 = x/18
-6 * 18 = x
-108 = x
Evaluate each expression
1-(-8)
A
,
B
and
C
are points on a circle with
A
C
as a diameter.
A
B
C
is a right-angled triangle.
Work out the total area of the regions shaded in the diagram.
Give your answer correct to 1 decimal place.
Answer:
Area of the shaded portion = 54.5 cm²
Step-by-step explanation:
Solve first for the area of the circle:
[tex]area \: of \: circle = \pi {r}^{2} \\ = \pi( \frac{d}{2} )^{2} \\ = \pi( \frac{10}{2} )^{2} \\ = 25\pi \: or \: 78.5398 {cm}^{2} [/tex]
Then, compute for the area of the triangle:
[tex]area \: of \: triangle = \frac{1}{2} \times base \times height \\ = \frac{1}{2} ( {8})(6) \\ = 24 {cm}^{2} [/tex]
Since we only needed the shaded portion, we have to subtract the area of the triangle from the area of the circle
[tex]25\pi {cm}^{2} - 24 {cm}^{2} = 54.5398 {cm}^{2} [/tex]
what is 8 x 23
+ 6
3 + 2
Answer:
8x23 +6+3+2 = 195
Step-by-step explanation:
used PEMDAS <3 hope this helps
What is a system of equations?
Answer:
A system of equations is a set of equations which are collectively satisfied by one solution of the variables.
Which table represents the function y = 4x - 3?
Answer:
B
Step-by-step explanation:
Answer:
Second table (B)
Input: 0, 1, 2
Output: -3, 1, 5
Explanation:
Given the 2D linear equation y = 4x - 3,
y must represent the output because it is the dependent variable, so x must represent the input because it is a independent variable.
what is the ordered pair to y=7x-2
PLS PLS HELP ME I WILL GIVE BRAINLIST AND SO MANY POINTS PLS HELP ME
Answer:
Both are circle equations. One is for area, one is for circumference.
Step-by-step explanation:
Both are circle equations. One is for area, one is for circumference.
Find the value of x. Round to the nearest tenth if necessary.
Answer:
x
Step-by-step explanation:
What is 365 divide by 3
Answer:
121.666667
Step-by-step explanation:
When 365 is divided by 3 the result or quotient is 121.66.
To calculate 365 divided by 3, we can perform long division:
Set up the division problem.
Determine how many times 3 can fit into the first digit of the dividend (3). The answer is 1.
Bring down the next digit (6) to the right of 3.
Determine how many times 3 can fit into the new number (36). The answer is 12.
Now, bring down the next digit (5) to the right of 12.
Determine how many times 3 can fit into the new number (53). The answer is 17.
Since there are no more digits to bring down, the division is complete.
The final result is: 365 ÷ 3
= 121.666...
Hence, 365 is divided by 3 to get 121.66.
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James drove to the lake and back the trip there took four hours and the trip back took six hours he average 20 mph faster on the trip there on on the return tip find Jameses average speed on the trip
Answer: 60 mph
Step-by-step explanation:
Question wants the speed to the lake.
It took James 4 hours to get to the lake and he drove at a speed 20 mph faster than when he came back.
It took him 6 hours to come back.
Assuming the speed James used on the return trip is x:
Expression for distance is:
4(x + 20) = 6x
4x + 80 = 6x
2x = 80
x = 80/2
x = 40 mph
Speed to the lake = 40 + 20
= 60 mph
Sols the system 2x+y = 1 y = -2x^2+3x+1
Answer:y=(-2x+1) (x+1)
Step-by-step explanation:
2x+y=-2x^2 +3x+1
y=-2x^2+x+1
y=-2x^2 -2x+x+1
y=-2x(x+1) +1(x+1)
y=(-2x+1) (x+1)
a bus traveled for 540 miles in 12 hours. was it traveling at a faster or slower rate than the car? show your work to explain
Answer:
It is at 45. So you need to determine is it faster of slower. You didn't put the whole question.
Step-by-step explanation:
Which number is equivalent to?
what does 3w =30 mean a. 6 b.9 c.10 d.12
Answer:
w = 10
Step-by-step explanation:
3w = 30
Divide each side by 3
3w/3 = 30/3
w = 10
Answer: Correct answer is c.10
Step-by-step explanation:
3w = 30 (It means you divide)
/3 /3 (You would divide both sides by 3)
w=10 (Then you're left with your answer w=10)
The pendulum swings at an arc of 30 cm and its successive swings reduced to 10% of the previous swings. What is the total distance travelled by the pendulum after 5 swings? This problem is an example of what sequence?
Answer:
[tex]S_g= 33.333cm[/tex]
Step-by-step explanation:
From the question we are told that
Arc of 30 cm
10% reduction after each swing
Generally sum of geometric sequence is given by the equation
[tex]S_g=\frac{a(1-r^n)}{1-r}[/tex]
Mathematically solving for total distance traveled we have
[tex]S_g=\frac{30(1-(0.10^5)}{1-(0.10)}[/tex]
[tex]S_g=\frac{30}{0.9}[/tex]
Therefore the total distance traveled by the pendulum after 5 swings
[tex]S_g= 33.333cm[/tex]
Jacob paid $89.59 for a portable e-book reader plus 9% tax. What is the cost of the
e-book reader including tax?
Answer:
$97.65
Step-by-step explanation:
$89.59 + $8.06 = $97.65
plz answer only if correct!!
HELp please!!!!!!!!!!!!!!!!!!!!!!11
Answer:
it’s 15x+30y-220
Step-by-step explanation:
Because you distribute and then you add the like terms
I need help solving this practice question
[tex]3x-9=45\\3x=45+9\\3x=54\\x=18[/tex]
Fun fact
Bananas are curved because they grow towards the sun ☀️
Answer: the answer is 18
Step-by-step explanation:
Sally sells sea-shells by the seashore. After 6 days, she has made
$16. After 17 days, she has made $60. How much does Sally
make each day?
Answer:
the right answer is$2.66
Which of the following tables represents a function?
Answer:
The third table
Step-by-step explanation:
It's the third table because each input does not repeat, so it means all of the inputs are unique
Repeating inputs (x) make it not a function
As their is no mention of test assuming it's not a test question
Solution
Now
As per definition of function
Every domain has an unique rangef(x)=yThing we have to see here is x values must not repeated more than once
In table 3
It follows the definationTable 3 is a function
A football player has made 80% of the field goals he has attempted in his career. If he
attempts 45 field goals in a season, how many would he be expected to make?
PLEASE ANWSER SERIOUSLY
Answer:
im pretty sure its 56.25 cus 45= 80% of 56.25
Step-by-step explanation:
Answer these 2 Questions for 10 points
1) Find the slope of the line that passes through these two points:
(13, 1) and (1, 10)
2) Find the slope of the line that passes through these two points:
(14,-14) and (10,-14)