Answer:
x = -2; y = 3
Step-by-step explanation:
5x + 4y = 2 (1)
3x + 3y = 3 (2)
Multiply (1) by 3 and (2) by 4
15x + 12y = 6 (3)
12x + 12y = 12 (4)
Subtract (4) from (3)
15x - 12x = 6 - 12
3x = -6
x = -6/3
x = -2
Substitute x = -2 into (1)
5x + 4y = 2
5(-2) + 4y = 2
-10 + 4y = 2
4y = 2 +10
4y = 12
y = 12/4
y = 3
The first error is when he multiplied equation (2) by 4
He didn't multiply the right hand side of the equation by 4
3x + 3y = 3 ×4
12x + 12y = 12
But he wrote
12x + 12y = 3
The the next error is subtracting the left hand side of the equation and adding the right hand side
15x + 12y = 6
12x + 12y = 3
He wrote
3x = 9
Instead of 3x = 3
In triangle AEC, G is the centroid. If EG= 6, find GB
Answer:
3
Step-by-step explanation:
its 3
Answer:
Step-by-step explanation:
What is the value of x?
Answer:
B, x=5
Step-by-step explanation:
Both triangles are similar with a ratio of 22.5/9
so using that an equation can be created like this, [tex]\frac{22.9}{9}[/tex] = [tex]\frac{23.5}{x+4.4}[/tex]
If simplified, 22.9(x + 4.44) = 23.5(9)
22.5x + 99 = 211.5
22.5x = 112.5
x = 5
Todd is a seller. I have sold a gold ring for $ 78 and earned 10% commission. How much commission did he earn?
Answer: 7.8 commission
Step-by-step explanation:
78/10=7.8
which ordered pair is a solution to the system of inequalities? {y>−2x+y≤4 (−2, −3) (0, −4) (1, 3) (1, 5)
Answer:
(0, -4)
Step-by-step explanation:
Given the inequality expression
y>−2x+y≤4
This can be splitted into
y>−2x+y .... 1
and -2x+y≤4 .... 2
From1;
y>−2x+y
y - y >−2x
0 >−2x
-2x < 0
x > 0/-2
x>0
Substitute x = 0 into 2
-2(0)+ y ≤4
y≤4
Hence the solution is (0, -4)
Answer:
The answer would be (1,3)
Step-by-step explanation:
What is the value of x in the equation 3(x − 2) + 5 = 2(5x − 4)
Answer:
x = 1
Step-by-step explanation:
3(x − 2) + 5 = 2(5x − 4)
Distributive property
3 * x - 3 * 2 + 5 = 2 * 5x - 2 * 4
3x - 6 + 5 = 10x - 8
Combine like terms
3x - 1 = 10x - 8
Add 8 on both sides
3x - 1 + 8 = 10x - 8 + 8
3x + 7 = 10x
Subtract 3x on both sides
3x - 3x + 7 = 10x - 3x
7 = 7x
Divide by 7 on both sides to isolate the variable
7/7 = 7x/7
1 = x
Check
3(x − 2) + 5 = 2(5x − 4)
Replace the "x" with 1
3 ( 1 - 2 ) + 5 = 2 ( 5 * 1 - 4)
3 * -1 + 5 = 2 * 1
2 = 2
Correct
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Step-by-step explanation:
3(x - 2) + 5 = 2(5x - 4)
3x - 2 + 5 = 10x - 8
3x + 3 = 10x - 8
3x = 10x - 8 - 3
3x = 10x - 11
3x + 11 = 10x
11 = 10x - 3x
11 = 7x
11/7 = x
therefore, x = 1 4/ 7 ( mixed fraction form)
Does anyone know this?
Given that the area of rectangle IJKL is 500 units?
what are its length and width?
1
5x
J
K
8x
1 = 101.5 units, w = 162 4 units
1=35 8 units, w = 23 units
1 = 100 units, w = 62 5 units
1 = 28 units, w = 175 units
Answer:
d. 17.5 and 28 units
Step-by-step explanation:
An area of a rectangle is length times width. 8x times 5x = 40x^2. 40x^2 is eqaul to 500. After dividing by 40 and taking the square root of the quotient, x is approximately 3.54. 5 times 3.54 and 8 times 3.54 will yield approximately 17.5 and 28 units.
What is the factored form of X^2 - 11x + 10 ?
Answer:
(x -10)(x-1)
Step-by-step explanation:
Consider the form x^2 + bx + c. Find the pair of integers whose product is c and whose sum is b in this case whose product is 10 and whose sum is -11.
3. A saving's account began with a balance of $250. The relationship between the number of
deposits, x, and the balance in the account, y, is represented by the equation
75x - y = -250. What is the rate of change of the balance with respect to the number of
deposits?
А
B
$50 per deposit
$75 per deposit
$175 per deposit
$250 per deposit
C
D
What is the percent of change if 36 is decreased to 24?
Answer:
0.33
Step-by-step explanation:
can you please help me
Answer:
i would say none of the above can i get brainlest
Step-by-step explanation:
Every hour at work, you are able to pick the same number of apples. If in the 2nd hour of work, you have picked 220 apples, and by the 4th hour, you have picked 440 apples, what is the rate at which you pick the apples?
Answer:
110 apples an hour divide 440 by 4 and 220 by 2
Step-by-step explanation:
Answer:
110 apples per hour
Step-by-step explanation:
hope it helps!
A pizza costs $11 and $1.50 per topping.
What is the fixed cost?
Answer:
7.33
Step-by-step explanation:
Michele is starting a new pool-cleaning business it cost her 85 to purchase supplies Michele charges 40$ each time she cleans the pool which equation can be use to determine the profit y Michele earns after she cleans x pools?
A y=40r-85
B y=40r+85
C y=85r-40
D y=85r+40
Which of the following best describes the slope of the line below?
Dale baked 2 brownies with nuts on top and 3 brownies without nuts. What is the ratio of
the number of brownies without nuts to the number of brownies with nuts on top?
Answer:
3:2
Step-by-step explanation:
Find the measure of angle x in the figure below: A. 95 B. 55 C. 30 D. 85
Answer:
B.
Step-by-step explanation:
Answer: A. 95
Step-by-step explanation: The angles in a triangle are supposed to add up to 180 degrees, 55+30= 85 and 85+95 is 180.
Someone pls help me
If y varies directly with x, and y is 84 when x
is 16, find x when y is 21.
Answer:
X=4
Step-by-step explanation:
What is the slope for this graph?
Dana is planning to drive 400 miles from
New York to Boston and back. Dana's
hybrid car can travel 50 miles on 1 gallon
of fuel. Biodiesel fuel costs $4.45 per
gallon.
Part A: How many gallons of fuel does
Dana need to purchase for the 400-mile
trip? Explain your reasoning.
Part B: Dana can take a high-speed train
to Boston instead of driving. A round-trip
train ticket costs $95. Is it cheaper for
Dana to take the train or to drive? How
much cheaper? Explain your reasoning.
Answer:
A. 8 gallons
B. Drive by car is $59.4 cheaper than travel by train
Step-by-step explanation:
According to the scenario, given data are as follows,
Total drive = 400 miles
Total drive per gallon = 50 miles
Fuel cost per gallon = $4.45
A. So, Total fuel required to drive 400 miles can be calculated as follows,
Total fuel required = Total drive ÷ Total drive per gallon
By putting value, we get,
Total fuel required = 400 ÷ 50
= 8 gallons
B. Total cost if drive by car = 8 gallons × $4.45 = $35.6
Cost if travel by train = $95
Hence it is clearly shows that drive by car is much cheaper than travel by train.
Cost saved by travel by car = $95 - $35.6 = $59.4
So, drive by car is $59.4 cheaper than travel by train.
how do u solve 5(x-4)=3x+4
Which ordered pair is a solution of the equation?
y = 3x+5
Answer:
Step-by-step explanation:
Y=1/3y+-5/3
To make a cup of tea, 35.5mL of milk is added to 65.45mL of plain tea. How much milk-tea is there in the cup?
Answer 29.95 your welcome.
Step-by-step explanation:
Ok so you will just need to subtract 65.45-35.5 and get your answer.
Ps could have used a calculator.
can some one help me with this
Answer:
x = 20
Step-by-step explanation:
first, you would take all of the angles and add them up to 180
2x+40+100=180
second, we combine like terms
2x+140=180
third, we solve for x
2x+140=180
-140 -140
2x=40
x=20
i hope this helps!
Answer:
X=20
Step-by-step explanation:
the total angle degree of a triangle is always 180 so we have two point 100 and 40 add those and you get 140 so you have 40 left but that angle says 2 X so 2x is 40 so ÷ 2 to get 1x which is 20
A tree is currently 8 feet tall and grows 3 feet per year . Model this scenario with an arithmetic sequence in explicit form.
Don't think this is technically math
Solve for x:
4(1-x)+3x=-2(x+1)
Answer:
Solve for x by simplifying both sides of the equation, then isolating the variable.
x = − 6
Step-by-step explanation:
I hope this helps! Have a nice day!
Which set of numbers could not represent the lengths of the sides of a right triangles?
A. {1, 3, sqrt10}
B. {2, 3, 4}
C. {3, 4, 5}
D. {8, 15, 17}
Answer:
B. 2,3,4
Step-by-step explanation:
Using the Pythagorean Theorem:
A. 1^2+3^2=(sqrt10^2)
B. 2^2+3^2not equal to 4^2
C. 3^3+4^2=5^2
D. 8^2+15^2=17^2
The set of numbers {2, 3, 4} could not represent the lengths of the sides of a right triangles.
The correct option is an option (B).
What is Pythagorean triples?"For integers a, b, c if a² + b² = c², then these integers are called as Pythagorean triples they can be denoted as (a, b, c)"
What is Pythagoras theorem?"For a right triangle,
c² = a² + b², where c is the hypotenuse and a, b are any two sides of the right triangle."
What is hypotenuse?"It is the lonest side of the right triangle."
For given example,
We need to find the set of numbers that could not represent the lengths of the sides of a right triangles.
If the set of numbers is not Pythagorean triple then it would not represent the lengths of the sides of a right triangles.
A) {1, 3, √10}
let a = 1, b = 3, c = √10
⇒ c² = (√10)²
⇒ c² = 10
Consider, a² + b² = 1² + 3²
⇒ a² + b² = 1 + 9
⇒ a² + b² = 10
⇒ a² + b² = c²
This means, these numbers are Pythagorean triple.
So, these numbers represents the lengths of the sides of the right triangle with hypotenuse √10 unit and other two sides are 1 unit and 3 units.
B) {2 ,3, 4}
let a = 2, b = 3, c = 4
⇒ c² = (4)²
⇒ c² = 16
Consider, a² + b² = 2² + 3²
⇒ a² + b² = 4 + 9
⇒ a² + b² = 13
⇒ a² + b² ≠ c²
This means, these numbers are not a Pythagorean triple.
So, these numbers does not represent the lengths of the sides of the right triangle.
C) {3, 4, 5}
let a = 3, b = 4, c = 5
⇒ c² = (5)²
⇒ c² = 25
Consider, a² + b² = 3² + 4²
⇒ a² + b² = 9 + 16
⇒ a² + b² = 25
⇒ a² + b² = c²
This means, these numbers are Pythagorean triple.
Hence, these numbers represents the lengths of the sides of the right triangle with hypotenuse 5 units and other two sides are 3 units and 4 units.
D) {8, 15, 17}
let a = 8, b = 15, c = 17
⇒ c² = (17)²
⇒ c² = 289
Consider, a² + b² = 8² + 15²
⇒ a² + b² = 64 + 225
⇒ a² + b² = 289
⇒ a² + b² = c²
This means, these numbers are Pythagorean triple.
So, these numbers represents the lengths of the sides of the right triangle with hypotenuse 17 units and other two sides are 8 units and 15 units.
Therefore, the set of numbers {2, 3, 4} could not represent the lengths of the sides of a right triangles.
The correct option is an option (B).
Learn more about Pythagorean triple here:
https://brainly.com/question/15190643
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Mr. Yardley's car can travel 28 miles on a gallon of
gasoline. The car has an 18-gallon gasoline tank.
Which is the best estimate of the maximum distance
the car can travel on a full tank of gasoline?
A
400 mi
B
600 mi
С
800 mi
D
1,000 mi
Answer:
D
Step-by-step explanation:
1 gallon can run a car up to 60 miles so i would guess 1000
A wire is attached to the top of a tower that is 100 feet tall. The wire is attached to the ground 40 feet of the tower What is the angle of elevation by the wire and the ground to the nearest whole number of degrees?
a= 21
b=68
c=24
d=66
Answer:
5/2
Step-by-step explanation:
i hope this is the answer