The solution to this given system of equations is (x,y) = (0.4,15).
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
We are given that;
y - 13 = 5x
y - 5x = 12
Now,
To do this, we can add both equations together to eliminate x:
(y - 13) + (y - 5x) = 5x + 12 2y - 13 - 5x = 17 2y = 30 y = 15
Now that we have found y, we can substitute it into either equation to find x. For example:
15 - 13 = 5x 2 = 5x x = 0.4
Therefore, by the given system of equations the answer will be (x,y) = (0.4,15).
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Need help what’s the irrational number?
Answer:
B. √6
Step-by-step explanation:
Irrational number is a number that cannot be expressed in a form of fraction
2.5 = 5/2
√6 = 2.49...
1/2 = 1/2
√9 = 3/1
You earn $56 for washing 8 cars. How much do you earn for washing 3 cars?
Answer:
$21
Step-by-step explanation:
What is the greatest common factor of 42 and 15?
Answer:
3
Step-by-step explanation:
Answer:
Step-by-step explanation:
3
A car is traveling at a speed of 50 meters per second. What is the cars speed in kilometers per hour? How many kilometers will the car travel in 3 hours?
Answer:
180 kilometers per hour, 540 in 3 hours
An angle measures 160° less than the measure of its supplementary angle. What is the measure of each angle?
Answer:
The two angles are 10 degrees and 170 degrees.
Step-by-step explanation:
Supplementary angles add up to 180 degrees.
Let the angle be called "x", and the supplementary angle be called "180-x"
Converting words to math: x-160=180-x
Add x to both sides: 2x-160=180
Simplify: 2x=20
Divide by 2: x=10
Let me know if this helps!
. Rewrite the expression by using the Distributive Property: 8(5x - 4) *
Answer:
40x-32
Step-by-step explanation:
First, you multiply 8 time 5x which equals 40x. Next, you multiply 8 times 4 which equals 32, so it is 40x-32
PLEASE HELP ME I BEG OF YOU IF YOU HELP ME I WILL GIVE YOU BRAINTLIEST JUST PLEASE HELP ME "Julie goes to the sports store and spends $40.50 before tax. She buys a pair of shorts for $21.75 and 3 pairs of socks that each cost same amount. How Much does each pair of socks cost?" Please help me
Answer:
$6.25
Step-by-step explanation:
Ethan uses the function f(x) = 2x2 + 2x + 4 to track the temperature of a substance over 8 hours. You know that f(3) = 28 meaning that the temperature of the substance is 28°C when you plug in a 3 for x. What is the domain of Ethan’s function?
The domain of the function f(x) = 2x² + 2x + 4 is (-∞, ∞).
What is Quadratic equation?The polynomial equation whose highest degree is two is called a quadratic equation or sometimes just quadratics. It is expressed in the form of:
ax² + bx + c = 0
where x is the unknown variable and a, b and c are the constant terms.
You have the quadratic function
f(x) = 2x² + 2x + 4 ,
and remember that all quadratic functions are parabolas opening at point called the vertex.
Since you can plug any real number in our parabola here, its domain is all the real numbers, and this is true for all the quadratic functions of the form ax² + bx + c = 0.
Thus, in interval notation the domain of the function is (-∞, ∞).
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CAN SOMEONE HELP ME PLEASEEE
Answer:
a. 45 degrees
b. 315 degrees
c. 8π
d. π
e. 7π
f. 16π
g. 2π
Pleaseeeee I’ll mark u brainleast
Answer:
1: x = 10
2: x = 2
3: x = 5
4: x = -5
Step-by-step explanation:
At a sale, coats were sold for 52% of their original price. If the coats originally cost
$200 each, how much did a coat cost on sale?
Help me please
Answer:
Answer is 104
Step-by-step explanation:
The selling price of the coat is $104.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Original price = $200
Selling price.
= 52% of $200
= 52/100 x 200
= $104
Thus,
$104 is the selling price of the coat.
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Write in Slope Intercept form
Answer:
y=5/2x
Step-by-step explanation:
the y intercept is (0,0) so it isn't included in the equation. now we know the middle solution isn't correct. the points we use to find slope are (-2,-5) and (2,5) which ends up being 5/2.
The price of a watch was increased by 20% to £162.
What was the price before the increase?
Answer:
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How would you define slope?
Answer:
In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. ... Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line.
I need help i don't understand
Answer:
50%
Step-by-step explanation:
50% aaaaaa.................
29
2
Solve the inequality
- +3>
W
a.
c.
W <3 or w > 6
w <3 or w > 9
W <0 or w > 6
W <0 or w > 9
b.
d.
Step-by-step explanation:
Let's solve your inequality step-by-step.
2
w
+3>
29
w
3w+2
w
>
29
w
Let's find the critical points of the inequality.
3w+2
w
=
29
w
3w+2=29(Multiply both sides by w)
3w2+2w=29w(Multiply both sides by w)
3w2+2w−29w=29w−29w(Subtract 29w from both sides)3w2−27w=0
3w(w−9)=0(Factor left side of equation)
3w=0 or w−9=0(Set factors equal to 0)
w=0 or w=9
Check possible critical points.
w=0(Doesn't work in original equation)
w=9(Works in original equation)Answer:
w<0 or w>9
What is the ratio of a:b, knowing that a-b / a+b = 3/5
Answer
i am going to give you 2 answer
1. solving for A is: A=3/5 -b
2. solving for B is: B=3/5 -a
Step-by-step explanation:
correct me if I'm wrong
let me know if it's correct or not
Answer:
soo what is the answer
Step-by-step explanation:
Ashton plays three games of checkers with his grandmother. Identify the
sample space (the correct list possible outcomes) for Ashton's results.
W = win, L = loss
The notation WLL means Ashton won the first game, lost the second game,
and lost the third game.
A. {WWWW, WLWL, LLLL}
B. {WW, WL, LW, LL}
C. {WWW, WWL, WLW, WLL, LWW, LWL, LLW, LLL)
D. {WWW, WWL, LLL}
Answer:
C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
1. 30-70h=30
2. 300+70h=-30
3. 300-70h=-30
4. 300+70h=30
Help please i always get the numbers mixed up.
Alexa has a points card for a movie theater. She receives 25 rewards points just for signing up. She earns 4.5 points for each visit to the movie theater. She needs 61 points for a free movie ticket. How many visits must Alexa make to earn a free movie ticket?
Answer:
8
Step-by-step explanation:
25+ (4.5 x 8)
25+ 36
=61.
She needs 8 visits
Answer:
8
Step-by-step explanation:
61 - 25 = 36
36 divided by 4.5 = 8
Rewrite with positive exponents: 7^-3
Answer:
1/7^3 (One over seven thirds)
Step-by-step explanation:
Travis wants to build a small rectangular fence. He has enough material to build a fence that has a perimeter of 100 feet. Let x represent the length of the fence in feet.
Travis wants to use all of the available materials. What values of x will fence in an area of at least 600 square feet?
Answer:
x=250?
Step-by-step explanation:
you being vague bro
Find the slope of the line passing through the points (7, 8) and (7,-9).
Answer:
the slope is undefined
Step-by-step explanation:
[tex]m = \frac{-9 - 8}{7-7} \\m = \frac{-17}{0 }\\m = DNE[/tex]
Is y=-3/4x + 8 linear?
Answer:
Yes
Step-by-step explanation:
Answer:
yes it is
Step-by-step explanation:
Sunita creates a scale model of an aeroplane. The scale of the model is 4 cm to 15 m. Sunita's model has a wingspan of 17 cm. What is the wingspan of the real aeroplane?
Answer:
36.43m
Step-by-step explanation:
Let the wingspan of the real aeroplane = x
The scale of the model is 4 cm to 15 m.
= 4: 15 = 4/15.
Sunita's model has a wingspan of 17cm.
Hence:
4cm/15m = 17cm/xm
Cross Multiply
4x = 15 × 17
4x = 255
x = 255/4
x = 36.428571429 m
Approximately = 36.43 m
Therefore, the wingspan of the real aeroplane is 36.43m
Use quadrilateral ABCD. What value for m DAB would show ABCD is a parallelogram?
Answer:
m∠DAB = 101°
x = 7
y = 12
Step-by-step explanation:
Properties of a parallelogram,
1). Opposite sides of a parallelogram are equal and parallel.
2). Opposite interior angles are equal in measure.
3). Consecutive interior angles are supplementary.
By the first property,
BC ≅ AD
2x + 4 = 3x - 3
3x - 2x = 4 + 3
x = 7
AB ≅ CD
2y + 10 = 3y - 2
3y - 2y = 10 + 2
y = 12
By second property,
m∠ABC = m∠ADC
2z + 15 = 3z - 17
3z - 2z = 15 + 17
z = 32
Therefore, m∠ADC = (3z - 17)°
= 3(32) - 17
= 96 - 17
= 79°
By third property,
m∠ADC + m∠DAB = 180°
79° + m∠DAB = 180°
m∠DAB = 180° - 79°
m∠DAB = 101°
John rode 2 kilometers on his bike. His sister Sally rode 6,000 meters on her bike. How many more kilometers did Sally ride?
Answer:
I don't understand, please write again
Answer:
Sally rode 4 kilometers more than her brother.
Step-by-step explanation:
1,000 meters = 1 kilometer
So if you convert Sally's meters into kilometers, you get 6 kilometers. John rode 2 kilometers so you do 6 kilometers - 2 kilometers = 4 kilometers.
Now you got your answer!
Hope this helped.
Step 3: Equations and Inequalities Unit Test
6. Solve for j.
j - 18 = 43
Answer:
j = 61
Step-by-step explanation:
j - 18 = 61
Step One: Add your addend and your total together.
18 + 43 = 61
Step Two/Check: Subtract your original total with one of your original addend to get the second original addend you had before.
61 - 18 = 43
Answer:
j = 61
Geometry/proportions
Solve for x.
Answer: x=19
Step-by-step explanation:
a triangle always=60 so
14+12+15=41
41-60
=19
Answer:
x=19 makanya belajar jangan maen game gitu aja susah amat