Answer:
(3, 2 )
Step-by-step explanation:
Given the 2 equations
4x + y = 14 → (1)
5x + 2y = 19 → (2)
Multiplying (1) by - 2 and adding to (2) will eliminate the y- term
- 8x - 2y = - 28 → (3)
Add (2) and (3) term by term to eliminate y
- 3x + 0 = - 9
- 3x = - 9 ( divide both sides by - 3 )
x = 3
Substitute x = 3 into either of the 2 equations and solve for y
Substituting into (1)
4(3) + y = 14
12 + y = 14 ( subtract 12 from both sides )
y = 2
solution is (3, 2 )
Step-by-step explanation:
[tex] \underline{ \underline{ \text{USING \: ELIMINATION \: METHOD}}}[/tex]
[tex] \underline{ \underline{ \text{ Solution}}} : [/tex]
[tex] \text{4x + y = 14 - - - - - (i)}[/tex][tex] \text{5x + 2y = 19 \: - - - - - (ii)}[/tex]Multiply equation ( i ) by 2 & Subtract from ( ii ). The equation ( i ) now becomes 8x +2y = 28 { 2 ( 4x + y ) = 2 × 14 }. Remember that while subtracting the sign of each term of equation ( i ) changes and now , it becomes -8x-2y = -28.
[tex] \text{5x + 2y = 19}[/tex]
[tex] \text{ - 8x - 2y = - 28}[/tex]
_____________________
[tex] \text{ - 3x = - 9}[/tex]
Solve for x :
⤑ [tex] \tt{x = \frac{ - 9}{ - 3}} [/tex]
⤑ [tex] \tt{x = 3}[/tex]
Now , substitute the value of x in equation ( ii ) :
⟼ [tex] \text{5 × \: 3 + 2y = 19}[/tex]
⟼ [tex] \text{15 + 2y = 19} [/tex]
⟼ [tex] \text{2y = 19 - 15}[/tex]
⟼ [tex] \text{2y = 4}[/tex]
⟼ [tex] \text{y = 2}[/tex]
[tex] \pink{ \boxed{ \boxed{ \tt{⤿ \: Our \: final \: answer : \boxed{ \boxed{ \tt{x = 3 \: and \: y = 4}}}}}}}[/tex]
Hope I helped ! ツ
Have a wonderful day night ! ♡
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Five thousand two and five hundred twenty-three millionths in decimal form
Answer:
5,002.0523
Step-by-step explanation:
Hope this helps!
please help
solve c+23-16=100
Answer:
c=93
=23-16=7
7+93=100
hence proved
Someone plz help me I will give brainliest!!
Answer
well sorry cant answer the other question see if it works on here
Step-by-step explanation:
Prove that each of the expressions below are equivalent by evaluating the expressions given. Given g = 3.
15g-2(2g+6) and 11g-12
Answer with Step-by-step explanation:
We are given that
g=3
[tex]15g-2(2g+6)[/tex] and [tex]11g-12[/tex]
We have to prove that two expressions are equivalent by evaluating the expressions given
[tex]15g-2(2g+6)[/tex]
Substitute the value of g in the given expression
[tex]=15(3)-2(2(3)+6)[/tex]
[tex]=45-2(6+6)[/tex]
[tex]=45-2(12)[/tex]
[tex]=45-24[/tex]
[tex]=21[/tex]
[tex]11g-12[/tex]
Substitute the value of g in the given expression
[tex]=11(3)-12[/tex]
[tex]=33-12[/tex]
[tex]=21[/tex]
Hence,
15g-2(2g+6) = 11g-12 when g=3
What is the range of possible sizes for side x in triangle side lengths of 8.0 and 4.0?
Answer:
4<x<12
Step-by-step explanation:
8.0+4.0=12.0
8.0-4.0=4.0 or 4
The rules of triangles is that it must be less than the sum you had when you first added 8.0and 4.0 which was 12
So therefore , 4< x < 12
and I also got it right on khan academy lol
The square below has an area of x^2-10x+25 square meters
what expression represents the length of one side of the square?
Answer:
Answer: Expression that represents the length of one side of the square is x - 5.
Simplify 5 1/3•5 2/3
Answer:
17 7/9 or 17.7
Step-by-step explanation:
HELP ME PLZZZZZZ MARKING BRAINLIEST
Answer:
14
Hope this helps!
If 58 books are checked out of a class library, and 42 books are left on the
shelves, how many books in total belong to the class library?
T-Mobile was having a sale where the price of a new phone was 25% off the original price of $1000. How much is the sale price of the phone? *
Answer:
The phone is $750
Step-by-step explanation:
1000 divided by 25% is 250. 1000 minus 250 is 750. Hoped this helped
5/8 divided by 1 1/3 =?
PLEASE HELPPPPPP
Bob and 3 friends went to the movies and spent an equal amount on a ticket and food. Each friend paid $18. How much was the total bill? Hint: b/4 = $18
A. $22
B. $6
C. $24
D. $72
Answer:
D. $72
Step-by-step explanation:
18 times 4 equals 72
Answer:
$72
Step-by-step explanation:
Multiply cost by number or friends, INCLUDING BOB, making it 4 people rather than three
18 * 4 = 72
What is the slope of (4,2) and (0,-1)
Step-by-step explanation:
The slope is m = -3 / -4 = 0.75
17. Find the value of x and y. PLEASE HELPPP!!!!
Answer:
x=30, y=5
Step-by-step explanation:
in the first triangle, with 3 congruent angles, Since their angles are congruent l, there sides are also as well. So 8y=40 y=5. This is a right triangle so angle x and the adjacent red angle both form 90 degrees. Since the red angle is a equal angular triangle. It measures 60 degrees so 60+x=90 x=30
The Sognefjord is the deepest fjord in Norway at 1,308 metres (4,291 ft) If a submersible floating on the surface was to dive vertically at a rate of 35 meters a minute, how many minutes would it have been diving when it reached a point 48 meters from the bottom of the fjord?
Answer:
36 minutes
Step-by-step explanation:
Depth of the fjord = 1308 m
Rate at which the submersible dives = 35 meters/minute
Distance to the bottom of the fjord should be 48 m
Distance the submersible has to go underwater is [tex]1308-48=1260\ \text{m}[/tex]
Time is found by dividing the distance the submersible has to go underwater by rate at which the submersible dives
[tex]\dfrac{1263}{35}=36\ \text{minutes}[/tex]
The time taken by the submersible to dive the required distance is 36 minutes.
Lara has $12 in quarters. Write and solve an equation that can be used to solve for the number of quarters, q, she has. Lara has quarters
Answer:
Equation = 12 * 4Lara has 48 quartersStep-by-step explanation:
Lara has $12 in quarters.
4 quarters make a dollar.
To find the number of quarters she has therefore, you need to multiply the $12 by the 4 quarters in a dollar to find out the number of quarters in $12.
= 12 * 4
= 48 quarters
Use the gcf and the distributive property to express the sum as a product 18+27
Answer:
45
Step-by-step explanation:
18+27=9(2+3)=9(5)=45
The sum of the numbers 18 and 27 will be 45.
What is the greatest common factor?The largest factor of the two numbers which divides both the numbers is called as greatest common factor or GCF. The greatest common multiple is the common number multiplied by both numbers.
The distributive property of binary operations in mathematics generalizes the distributive law, which states that in elementary algebra, equality is always true.
Given sum is 18 + 27. The greatest common multiple between the two numbers is 9 take it common and then solve.
E = 18+27
E =9(2+3)
E =9(5)=45
Therefore, the sum of the numbers 18 and 27 will be 45.
To know more about GCF follow
https://brainly.com/question/219464
#SPJ6
a trader sold a wrist watch for 3150 after giving a 10% discount find the marked price of the Watch
Step-by-step explanation:
[tex]{ \frac{10}{100} \times 3150 = 315[/tex]
Classify the polynomial according to its degree and number of terms.
9
constant monomial
sixth-degree monomial
linear binomial
sixth-degree binomial
Answer:
constant monomial
Step-by-step explanation:
The polynomial, 9, has 1 term and its degree is 0. Therefore, the polynomial is a constant monomial.
The given expression is a constant monomial. Therefore, option A is the correct answer.
What is the polynomial?A polynomial is a type of algebraic expression in which the exponents of all variables should be a whole number. The exponents of the variables in any polynomial have to be a non-negative integer. A polynomial comprises constants and variables, but we cannot perform division operations by a variable in polynomials.
Here given expression is 9.
A constant monomial is a term with only a constant number. There is no variable in a constant monomial.
So, 9 is a constant monomial.
The given expression is a constant monomial. Therefore, option A is the correct answer.
To learn more about the polynomials visit:
brainly.com/question/20121808.
#SPJ2
580 books were delivered to a warehouse and 29 were found to be damaged.
What percentage were damaged?
Answer:
I think it's would be 5%
Step-by-step explanation:
Since 29 Books are damaged we do 29/580 and then get 0.05 and multiply by 100 and get 5 percent
round 164.58 to the nearest whole number.
can someone please help? And can you also explain how to do it, because I forgot the steps on how to do it
Answer:
option 3) EF= -7 FG= -7
Step-by-step explanation
X= 1/2
EF= 2X-8
= 2 X 1/2 -8
=1 - 8
EF = -7
FG= 4X -9
= 4X 1/2
2 - 9
FG = -7
this solid has a circular base no edges and one vertex
Answer: Cone
Step-by-step explanation: What solid figure has a circular base and one vertex?
what is the simplified radical to this question (32x)6/5
On each coordinate plane, the parent function f(x) = |x| is represented by a dashed line and a translation is represented by a solid line. Which graph represents the translation g(x) = |x + 2| as a solid line? Why is it C???
The adding a value to x shifts the graph that many places to the left.
In g(x) you are adding 2 to x, so the graph moves 2 units to the left.
See attached image.
Answer:
c got a 100
Step-by-step explanation:
(8p2 −5p4 −2p3)+(4p3 +2p2 −2p4)
Answer: −
7p^4 + 2p^3 + 10p^2
Step-by-step explanation:
Two interior angles of a triangle each measure 34. What is the measure of the third interior
angle?
564
Answer:
112
Step-by-step explanation:
The interior angles of triangles always add up to 180 so you first add the two interior angles which are already given to get 68 then after that you subtract it from 180 to get the answer of 112.
Hope this helps :) if it did pleaae mark as branliest...
Pleaseeee helpp answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answer:
x = 7; y = 11
Step-by-step explanation:
AB = x
AB = CD
CD = 7 so....
x = 7
AD = y + x
AD = BC
BC = 18 so...
y + x = 18
y + 7 = 18 subtract 7 from 18
y = 11
Answer:
x = 7
y = 11
Step-by-step explanation:
Do you see those little arrow marks? Those indicate that if a side has those marks, they have the same length. If a side with one arrow is 7 units long, then it means that x = 7, because the side with x also has one arrow. Then, just plug in 7 into the y+x equation, and set it equal to the other side. (18).
y + 7 = 18; subtract 7 from both sides, to get x = 7; y = 11.
Hope this helps! Feel free to give me Brainliest if you feel this helped. Have a good day, and good luck on your assignment. :)
Need help no work shown=a big fat 0
Need 22,23,and24
26 if can
Answer:
22.)
m/8 = 15/24
8×15= 120
120÷24= 5
m=5
23.)9/p = 4/48
9×48= 432
432÷4=108
p=108
24.) 10.50÷3= 3.50
thats $3.50 per pizza.
9 pizzas= $31.50
plus one pizza aka, 31.50+3.50= $35
therefore, 10 pizzas would cost $35
26.) 5/2 = d-2/4
cross multiply:
5×4=2(d-2)
20= 2(d-2) divide both sides by 2
20÷2 = 2(d-2)÷2
10= d-2 exchange places with d and 10 and change signs
-d= -2-10
-d=-12 change the sign on both sides when the variable is negative.
d=12
In a recent year, 23.7% of all registered doctors were female. If there were 54,400 female registered doctors that year, what was the total number of registered doctors? Round your answer to the nearest whole number.
Answer:Total number of registered doctors=229, 536
Step-by-step explanation:
Let the total number of registered doctors be represented as x
Such that 23.7 % of female registered doctors is totals 54,400
To find the total number of registered doctors, we use the equation
23.7% x -= 54,400
Solving the equation we have
0.237 x x= 54,400
x= 54,400/0.237
x= 229, 535.86 rounded to 229, 536
x=Total number of registered doctors=229, 536