Answer:
x = -5/7
y = 16/7
Step-by-step explanation:
3x + 4y = 7
3x + 4(x+3) = 7
3x + 4(x) + 4(3) = 7
3x + 4x + 12 = 7
7x + 12 = 7
7x + 12 - 12 = 7 - 12
7x = -5
7x ÷ 7 = -5 ÷ 7
x = -5/7
---------------------------------------
x + 3 = y
(-5/7) + 3 = y
16/7 = y
-----------------------------------------
3x + 4y = 7
3(-5/7) + 4(16/7) = 7
-15/7 + 64/7 = 7
7 = 7
The required value of the x and y by substitution method is -5/7 and 16/7 respectively.
Given,
System of equation
x+3=y
3x+4y=7
To solve using the substitution method.
The equation is the values of two functions that are equal.
What are functions?Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
x + 3 = y - - - - -(1)
3x + 4y = 7 - - - -(2)
from equation 1 substitute y in equation 2
3x + 4( x +3 ) = 7
3x + 4x + 12 = 7
7x = 7 - 12
7x = -5
x = -5/7
put this x on equation 1
-5/7 +3 = y
y = 16/7
Thus the required value of the x and y by substitution is -5/7 and 16/7 respectively.
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Some one help please
Find the angle measure that of each missing angle
Step-by-step explanation:
122+v=180
v=180-122
v=58
w+61=180
w=180-61
w=119
61+58+y=180
119+y=180
y=180-119
y=61
61+x=180
x=180-61
x=119
j=180
Solve 5r + 7s = 15 for s
Answer:
Here it is:
:P
Answer:
s=15/7 - 5r/7
Step-by-step explanation:
pls help me with this multiple choice ! thank u
Answer:
The answer will be C x=14 and y=7
Step-by-step explanation:
Hope this HElped
can someone help me find the prerimter of this shape
Answer:
114
Step-by-step explanation:
If this answer helped you then please mark it as brainliest so I can get to the next rank
The original rectangle is 120 centimeters. Calculate the length of a rectangle that is 72% shorter.
What is the answer
Answer:
33.6 cm
Step-by-step explanation:
120 x 0.72 = 86.4
120 - 86.4 = 33.6
The new rectangle which is 72% shorter is 21.6 centimeters.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given The original rectangle is 120 centimeters.
And the new rectangle is 72% shorter or (100 - 72)% = 18% of the original rectangle which is,
= (18/100)×120 centimeters.
= 21.6 centimeters.
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18 decreased 12%
NEED HELP ASAP
Answer:
17.88
Step-by-step explanation:
18- 12/ 100=
447/24=
then simplify
Answer:
20.16
Step-by-step explanation:- 12% × 18 =
- 12 ÷ 100 × 18 =
- 12 × 18 ÷ 100 =
- 216 ÷ 100 =
- 2.16
Why did the student dislike the average teacher
Answer:
The teacher disliked her average student because he was like all the other students???
Charlotte invests £5000.
The bank pays 10% interest for the first year and then y% every year after that.
After three years, Charlotte has £5610.55
Calculate y
Answer:
y = 1%
Step-by-step explanation:
From the formula;
Interest; i = PRT/100
P = £5000
R = 10%
After 1 year, we have;
i = 5000 × 10 × 1/100 = £500
Amount is now; 5000 + 500 = £5500
Since interest rate is now y% every year after the first one, then;
After 2nd year;
i = (5500 × y × 1)/100
i = 55y
So amount is now;
5500 + 55y
After 3rd year, interest is now;
i = (5500 + 55y) × y × 1/100
i = 55 + 0.55y²
Amount is now;
(5500 + 55y) + (55 + 0.55y²)
Since she has £5610.55 after 3 years, then;
(5500 + 55y) + (55 + 0.55y²) = 5610.55
0.55y² + 55y + 5555 - 5610.55 = 0
0.55y² + 55y - 55.55 = 0
From quadratic formula, y = 1%
find an equivalent expression for the given expression: 36x + 24
4 (9x + 8)
12 (3x + 3)
4 (9x + 7)
2 (18x + 12)
The equivalent expression for the given expression 36x + 24 is 2 (18x + 12). Option D
What are algebraic expressions?Algebraic expressions are defined as expressions made of mathematical operation like;
MultiplicationAdditionSubtractionDivisionBracketParenthesis, etcThese expressions also consist of terms, coefficients, variables, factors and constants.
What is factorization?Factorization can be defined as a mathematical method of writing a number or mathematical element as a product of several other factors.
Note also that equivalent expressions have the s
Given the expression;
36x + 24
Factorize common term, we have
2(18x + 12)
Thus, the equivalent expression is 2(18x + 12)
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Why is math so hard to learn?
Answer:
why does math even exist
Step-by-step explanation:
- 11x - 19 = - 41
solve for x
Answer:
-11x -19 = -41
We need to add 19 to both sides then divide to find x.
_____________________
1)) so -11x -19 + 19 = -41 + 19
2)) -11x = -22
3)) -11x/-11 = -22/-11
x = 2
GL!
(side note, i dont usually ask, but it would be great if you could mark me brainliest so I can level up <33)
Answer:
x = 2
Step-by-step explanation:
-11x - 19 = -41
Add 19 to both sides of the equation:
-11x - 19 + 19 = -41 + 19
-11x = -22
Divide both sides by -11
-11x/-11 = -22/-11
x = 2
ngths. Find Complete the fact Triangle. Write
er field. the fact family
70 yd
X,
6
7
Answer:
1
Step-by-step explanation:
Which equation can be used to solve for the value
of x?
Answer:
the orange one
Step-by-step explanation:
the bottom angles are gonna be the same and a triangle is 180 degrees total so
Dilate tge solid citcle by a scale factor of?
Given the function h(x)=-x^2+x+4, determine the average rate of change of the function over the interval −1≤x≤5.
Answer:
average rate of change of h(x) on −1 ≤ x ≤ 5 is then 5
Step-by-step explanation:
change in h(x)
average rate of change = ------------------------
change in x
Calculate h(x) at the interval endpoints: -1 ≤ x ≤ 5, and then subtract h(5) from h(-1):
h(5) = (5)² + 5 + 4 = 34
h(-1) = (-1)² -1 + 4 = 4
change in h(x) = 34 - 4 = 30
change in x: 5 - (-1) = 6 30
average rate of change of h(x) on −1≤x≤5 is then ------------- = 5
6
what is the value of x?
Answer:
x = 9
Step-by-step explanation:
12^2+x^2 = 15^2
==> x = 9
Answer:
9
Step-by-step explanation:
x = [tex]\sqrt{c^{2} - a^{2} }[/tex]
x = [tex]\sqrt{15^{2} - 12^{2} }[/tex]
x = [tex]\sqrt{225 - 144}[/tex]
x = [tex]\sqrt{81}[/tex]
x = 9
Please help!
Find the indicated side of the
right triangle.
60°
Х
3
30°
x = [?]
Enter
Answer:
x = 6
Step-by-step explanation:
sin 30° = 3/x
0.5 = 3/x
.5x = 3
x = 3/.5
x = 6
The indicated side of the right-angled triangle is 6.
What is a right-angled triangle?A triangle is said to be right-angled if one of its inner angles is 90 degrees, or if any one of its angles is a right angle.
Given:
The triangle is a right-angled triangle.
So, we know,
SinФ = perpendicular / hypotenuse.
And here, perpendicular = 3 unit
And hypotenuse = x unit
Substituting the values,
Sin30° = 3/x
1/2 = 3/x
x = 6
Therefore, the value of x is 6.
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: Scottie is standing next to a lighthouse on the edge of a cliff overlooking the ocean. The cliff is 30 meters above sea level, and the lighthouse has a height of 15 meters. There is a man fishing in a boat directly below Scottie who has hooked a fish that is 10 meters below the surface of the water.
Complete question :
Scottie is standing next to a lighthouse on the edge of a cliff overlooking the ocean. The cliff is 30 meters above sea level, and the lighthouse has a height of 15 meters. There is a man fishing in a boat directly below Scottie who has hooked a fish that is 10 meters below the surface of the water.
a. Use positive and negative numbers to represent the locations in relation to sea level.
Scottie =
Top of the lighthouse =
The boat =
The fish =
b. How far is Scottie from the fish?
meters.
Answer:
Scottie = +30 m
Lighthouse = +45m
Boat = 0
Fish = - 10m
40 m
Step-by-step explanation:
Scottie = 30m ( height of the cliff) since he is standing on it's edge
Top of lighthouse = since, lighthouse is located on top of the cliff ; height of cliff + height of light house = (30 + 15) = 45m
The boat = 0 (on the surface of water) ; this is the sea level surface or point
The fish = - 10 m (10 meters below the water surface).
Distance between scottie and fish :
30 m - ( - 10m)
30m + 10m
= 40 m
subtract the sum of all prime numbers between 10 and 20 from the sum of all composite number between 10 and 20 what is it
Answer:
18
Step-by-step explanation:
A pendulum is swinging back and forth. After ttt seconds, the horizontal distance from the bob to the place where it was released is given by \qquad H(t) = 7 - 7 \cos \left(\dfrac{2\pi (t-2)}{20}\right)H(t)=7−7cos( 20 2π(t−2) )H, left parenthesis, t, right parenthesis, equals, 7, minus, 7, cosine, left parenthesis, start fraction, 2, pi, left parenthesis, t, minus, 2, right parenthesis, divided by, 20, end fraction, right parenthesis. How often does the bob cross its midline? Give an exact answer
Answer:
Every 10 seconds
Step-by-step explanation:
The bob crosses its midline whenever cos(2π(t-2)/20)=0.
Since cosθ=0 when θ=±π/2 + 2πn, we can find then the bob crosses its midline by solving:
2π(t-2)/20 = ±π/2 + 2πn
t-2 = ±5+20n
The solutions are when t = -3, 7, 17, 27, 37, ...
Therefore, the bob passes its midline every 10 seconds.
find the area of the following compound shape. Pleaseeee helppp. Its urgent!!
Answer:
(bd×ac)÷2
108÷2
54cm^2
Step-by-step explanation:
hope u like the ans
Answer:
54cm
Step-by-step explanation:
AC = 9cm
BD = 12 cm
Area of rhombus = 1/2 × AC × BD
= 1/2× 9×12
= 9× 6
= 54 cm
Simplify the following expression.
(9x2 - 2x + 7) + (4x2 + 7x + 2)
A.
13x2 + 5x + 9
B.
5x2 + 5x + 5
C.
13x2 + 9x - 9
D.
13x2 + 9x + 9
Step-by-step explanation:
(9x2 - 2x +7) +(4x2+7x +2)
9x2 - 2x +7 +4x2 +7x +2
13x2 +5x +9
Answer:
A. 13x2 + 5x + 9
Step-by-step explanation:
use math-way it helps with problems like this
Suppose the line of best fit is drawn for some data points. If the mean of the x-coordinates of the points is -8, and the mean of the y-coordinates of the points is 10, the line must pass through which of these points?
Answer: 10
Step-by-step explanation:
Answer:
(-8, 10)
Step-by-step explanation:
A P E X
HELP, this is really hard and i’m struggling
Answer:
B or 2
Step-by-step explanation:
Because 2 and 4 are alternative interior angles that means that they are equal, but on the inside of the traversal (Parallels AB and CD)
Hope this helped :)
Answer:
it should be angle 2 and 4
Step-by-step explanation:
since 2 and 4 are interior angles they are the same and congruent so they have to be equal for the line to be parallel
Find (f x g)(2)? Thanks
Let me break this up.
Note: (f o g)(2) = f(g(2)).
Note: g(2) = (2, 2) means when x is 2 y is 2.
In other words, g(2) is 2.
We know that f(g(2)) = f(2).
You can see that f(2) = -3. This is given in the point (2, -3).
So, f(g(2)) = -3.
Done.
Peter and Jane have some money in the ratio 1:3
Jane has £12 more than Peter how much money does Peter have?
Answer:
Peter has 6 dollars.
Step-by-step explanation:
The ratio is 1:3, meaning Jane has 3x more money than Peter. Or, Peter has 1/3 as much money as Jane. You know that Jane has 12 dollars more than Peter so you can think of scenarios. Because it is a 1/3 the answer for Peters money has to be 1/3 of Janes, so Peter has 6 dollars, and Jane has 12 more, so Jane has 18 dollars.
PLEASE HELP WILL GIVE BRAINLIEST
Answer: The answer is B.
Step-by-step explanation: This is because the x-axis is days, and the y-axis is pounds. The option B states that Winnie eats 5 pounds of dog food in 2 days, while actually the dog eats 2 pounds of dog food in 5 days.
Answer:
Its B!
Step-by-step explanation:
The X axis represents days and the Y axis represents pounds! 5 is the X axis and 2 is the Y axis! So to make the sentence true, it would be (2,5).
Hope this helps, and don't forget to follow!
What is 18 out of 720 ?
Write as a percent .
Round to the nearest tenth
Answer:
18/720 =2.5% that is the answer
Answer:
2.5%
Step-by-step explanation:
To find what percent a part is of the whole, divide the part by the whole and multiply by 100%.
18/720 * 100% = 2.5%
a circle is drawn through (3,2),(-1,-2) and (5,-4).find the:(a) coordinates of the centre of the circle,(b) radius of the circle,(c) equation of the circle,showing
working.
Answer:
Step-by-step explanation:
The distance from the centre to any point on the circle is called the 'radius'. ... (i) Find the centre and radius of the circle (x-2)2+(y + 5)2 =9. ... Find the equation of the circle which has the line segment from a(-4, 3) to b(2, 1) as diameter. ... b and c. 22. Find the equation of the circle with centre (1, 3) and having the line 3x + 4y ...