Answers
Answer: I know two methods of solving both of the sums. One is the method of elimination, the other is method of substitution. You can do any of the given methods which is easier for you. Both methods will be shown below:
Method of Elimination1) 5x + y = 9 - - - - (i)
10x - 7y = - 18 - - - - (ii)
eq. (i) multiplied by 2
10x + 2y = 18 - - - - (i)
10x - 7y = - 18 - - - - (ii) {subtraction of eq. (ii) from eq. (i)}
0 + 9y = 36
y = 36/9
y = 4
From eq. (i),
5x + y = 9
-> 5x + 4 = 9
-> 5x = 9 - 4
-> x = 5/5
-> x = 1
So, x = 1 and y = 4
2) - 4x + 9y = 9 - - - - (i)
x - 3y = - 6 - - - - (ii)
eq. (ii) multiplied by 3
- 4x + 9y = 9 - - - - (i)
3x - 9y = - 18 - - (ii) {addition of eq. (ii) and eq. (i)}
- x + 0 = - 9
x = 9
From eq. (ii),
x - 3y = - 6
-> 9 - 3y = - 6
-> - 3y = -6-9
-> y = -15/-3
-> y = 5
So, x = 9 and y = 5
Method of Substitution1) 5x + y = 9 - - - - (i)
10x - 7y = - 18 - - - - (ii)
eq. (i)
5x + y = 9
-> y = 9 - 5x
Value of eq. (i) in eq. (ii)
10x - 7y = - 18
-> 10x - 7(9 - 5x) = - 18
-> 10x - 63 + 35x = - 18
-> 45x = - 18 + 63
-> x = 45/45
-> x = 1
From eq. (i),
5x + y = 9
-> 5 + y = 9
-> y = 9 - 5
-> y = 4
So, x = 1 and y = 4
2) - 4x + 9y = 9 - - - - (i)
x - 3y = - 6 - - - - (ii)
eq. (i)
- 4x + 9y = 9
-> - 4x = 9 - 9y
-> x = (9 - 9y) / -4
Value of eq. (i) in eq. (ii)
x - 3y = - 6
-> (9 - 9y) / -4 -3y = - 6
-> (9 - 9y + 12y) = - 6 * - 4
-> 3y = 24 - 9
-> y = 15/3
-> y = 5
From eq. (ii)
x - 3y = - 6
-> x - 3(5) = - 6
-> x - 15 = - 6
-> x = - 6 + 15
-> x = 9
So, x = 9 and y = 5
∩_∩
(„• ֊ •„)♡
┏━∪∪━━━━┓
hope it helped
┗━━━━━━━┛
Related Questions
the rock cycle is an explanation of the conservation of
A. Magma
B. Matter
C. Sediment
Answers
Answer:
B. Matter
Explanation:
When rocks break down and become smaller ex: mountains eventually becoming sand, the matter does not disappear or get destroyed, it becomes smaller particles, but the matter is always preserved.
Hope It Helps!!!
Answer:
matter
Step-by-step explanation:
The conservation of matter states that
matter is neither created nor endorsedHere big matters gets down into smaller pieces
but they are not destroyed
If a person who is 5 feet tall throws a ball into the air, the path can be modeled using the table of values, where x represents the time in seconds and y is the height of the ball in feet. x y 0 5 1 6.75 2 8 3 8.75 4 9 5 8.75 which quadratic equation models the data in the table?
Answers
The quadratic equation is y = -0.15x² + 2x + 5.5 , Option D is the correct answer.
The complete question is
If a person who is 5.5 feet tall throws a baseball into the air, the path can be modelled using the table of values, where x represents the time in seconds and y is the height of the ball in feet.
(table is in the photo below)
Which quadratic equation models the data in the table?
y= −0.25x2 + 2x + 5.5
y= −0.35x2 + 2x + 5.5
y= −0.27x2 + 3x + 5.5
y= −0.15x2 + 2x + 5.5
The quadratic equation represented by the table is y = -0.15x² + 2x + 5.5
What is an Equation ?When two algebraic expressions are linked with an equal sign , the expression formed is called an Equation.
The standard form of the Quadratic equation is
y = ax² + bx + c
here a, b and c are constants.
From the given data in the table
at point (0, 5.5)
5.5 = a(0)² + b(0) + c
at point (1, 7.35)
7.35 = a(1)² + b(1) + c
at point (2, 8.9)
8.9 = a(2)² + b(2) + c
The system of equations will be solved to determine the value of a,b and c
a= -0.15, b = 2, c = 5.5
Therefore , The quadratic equation is y = -0.15x² + 2x + 5.5 .
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Answer:
B) y= -0.25x^2 + 2x + 5
Step-by-step explanation:
I got it correct on test
PS: Can I have brainiest?
If the function f' has a continuous derivative on [0, c] then integral from 0 to c f"(x)dx=
Answers
The result follows from the fundamental theorem of calculus. Since [tex]f''(x)[/tex] is the derivative of [tex]f'(x)[/tex], we have
[tex]\displaystyle \int_0^c f''(x) \, dx = \boxed{f'(c) - f'(0)}[/tex]
(E)
A ship is stationary at sea.
A tugboat is 24km away at a bearing of 110°, and a yacht is 12km from the tugboat at a bearing of 085°.
Draw a scale diagram showing the positions of the three vessels.
Use a scale of 1 cm: 3 km.
Use your diagram to find the distance of the yacht from the ship to the nearest km.
Answers
The distance of the yacht from the ship is 35 km
How to determine the distance?See attachment for the diagram that represents the given parameters.
The distance of the yacht from the ship is then calculated using the following law of cosine.
YS^2 = ST^2 + YT^2 - 2 * ST * YT * cos(T)
This gives
YS^2 = 24^2 + 12^2 - 2 * 24 * 12 * cos(155)
Evaluate the exponents and the products
YS^2 = 576 + 144 + 522
Evaluate the sum
YS^2 = 1242
Take the square root of both sides
YS = 35
Hence, the distance of the yacht from the ship is 35 km
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2. Given that 5-6 ÷ 5p = 125º, find the value of 1/2p
Answers
Answer: -50
Step-by-step explanation:
5 - 6 / 5p = 125 degrees
1/2p = ?
First, subtract 5 from both sides, that way, the 5 on the left side will cancel out.
-6/5p = 125-5 degrees
-6/5p = 120 degrees
now, multiply 5p on both sides.
-6 = 120 * 5p degrees
-6 = 600p degrees
divide 600 on both sides
-6/600 = p degrees
-0.01 = p degrees
p = -0.01
1/2p = 1 / -0.02 = -50
Hope I helped!
HELP MEE ,25 POINTS !!!!
Celina says that each of the following expressions is actually a binomial in disguise:
5abc-2a^2+6abc
5x^3∙2x^2-10x^4+3x^5+3x∙(-2) x^4
(t+2)^2-4t
5(a-1)-10(a-1)+100(a-1)
(2πr-πr^2 )r-(2πr-πr^2)∙2r
Answers
Based on the four expressions written above (image attached) one can say that She is right about the remaining four expressions as they all can shown or expressed as binomials.
What is Binomial Distribution?
Binomial distribution is known to be a kind of probability distribution whos models or show the probability of getting one of two outcomes in any said number of points or parameters.
Note that:
5abc -2a² + 6abc
Add like terms
= 11abc - 2a²
5x³∙ 2x² -10x⁴ +3x⁵+ 3x∙(-2) x⁴
Simply
=5 . 2x³⁺² - -10x⁴ +3x⁵+ 3x∙ 2x⁴
=10x³⁺² -10x⁴ +3x⁵+ 3∙ 2xx⁴
= 7x⁵ + 10x⁴
(t+2)²-4t
Simply
= (t² + 2t.2 + 2²) - 4t
= (t² + 2t.2 + 4) - 4t
= t² + 4
The same applies for the rest. Therefore, one can say that Based on the four expressions written above (image attached) one can say that She is right about the remaining four expressions as they all can shown or expressed as binomials.
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An amusement park charges $7 for adults, $2 for youths, and $0.50 for children. if 150 people enter and pay a total of $100, find the numbers of adults, youths, and children. [hint: these numbers are nonnegative integers.]
Answers
The number of adults are 2 . the number of youths are 8
Given charge $7 for adults , $2 for youth and $0.50 for children
Let the number of adults , youths and children be x , y and z
Now it is given that there is total pay of 100
Therefore the equation formed is
7x + 2y +0.50 = 100
Now it is also given that 150 people enter
Therefore
x+y+z=150
x+y+z =150
14x+4y+z=200
Using argument matrix
[tex]\left[\begin{array}{ccc}1&1&1\\14&4&1\end{array}\right] \left[\begin{array}{ccc}150\\200\end{array}\right][/tex]
Corresponding system equation is
x+y+z=150
y+(13/10)z=190
Take z = m (arbitary)
y = 190 - 1.3 m
x = 150 - y
m = 140 x = 2 and y = 8
Hence The number of adults are 2 . the number of youths are 8
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A triangle has side lengths of (7x-4)(7x−4) centimeters, (x+3)(x+3) centimeters, and (3y+2)(3y+2) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
Answers
Answer:
This assumes that the question was meant to read:
"A triangle has side lengths of (7x−4) centimeters, (x+3) centimeters, and (3x+2) centimeters." And not "A triangle has side lengths of (7x-4)(7x−4) centimeters, (x+3)(x+3) centimeters, and (3y+2)(3y+2) centimeters."
If the revision is correct, the perimeter is 11x + 1 cm
=============================================
If the question was correctly written, then answer is:
50x^2 - 50x + 9y^2 + 12 y + 29
===============
Step-by-step explanation:
(7x-4) cm
+ (x+3) cm
+ (3x+2) cm
11x + 1 cm
If the question was correctly written as is, then:
(7x-4)(7x−4) = 49x^2 - 56x + 16
+(x+3)(x+3) = + x^2 + 6x + 9
+(3y+2)(3y+2) = +9y^2 + 12 y + 4
50x^2 - 50x + 9y^2 + 12 y + 29 cm
The perimeter of triangle 8x+ 3y + 1.
What is Perimeter of Triangle?The complete length of a triangle's boundary is referred to as its perimeter. A triangle is a polygon with three sides, and there are various varieties of triangles depending on how big the sides and angles are.
The basic formula used to calculate the perimeter of a triangle is:
Perimeter = sum of the three sides
Given:
sides of triangle (7x-4) centimeters, (x+3) centimeters, and (3y+2).
Now, perimeter of triangle
= 7x-4 + x+ 3 + 3y+ 2
=8x + 3y + 5-4
=8x+ 3y + 1
Hence, the perimeter of triangle 8x+ 3y + 1.
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On a coordinate plane, a right triangle has points A (negative 5, negative 6), B (negative 5, negative 2), C (negative 2, negative 2). Examine the right triangle ABC. Which rise and run would create a similar right triangle on the same line? a rise of 6 and a run of 8 a rise of 8 and a run of 6 a rise of 6 and a run of 5 a rise of 5 and a run of 6
Answers
A rise of 8 and a run of 6. Then the correct option is B.
What is a coordinate geometry?Coordinate geometry is the study of geometry using the points in space.
On a coordinate plane, a right triangle has points A (-5, -6), B (-5, -2), and C (-2, -2).
The distance between AB will be
AB² = (-5 + 5)² + (-2 + 4)²
AB² = 4²
AB = 4
The distance between BC will be
BC² = (-2 + 5)² + (-2 + 2)²
BC² = 3²
BC = 3
Then the rise and run will be
rise / run = 4 / 3
Then this can be written as
rise / run = 8 / 6
Then the correct option is B.
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Which of the following is equivalent to 5√12 - 2√27?
Answers
Answer:
A. 4 root 3
Step-by-step explanation:
PLEASE ANSWER ASAP!!!!!!!
A cheesecake has equally sized slices. Each slice is a different flavor. The diameter of the cheesecake is 10 inches, and the area of the slice of blueberry cheesecake is 25π16 square inches.
How many slices does the cheesecake have?
Answers
A cheesecake has equally sized slices. Each slice is a different flavor. The cheesecake has 12 slices.
What is the area of the circle?
The area of the circle is defined as the product of the pie and the square of the radius.
The area of the circle = πr²
In order to calculate the total area of the cheesecake, since it's a circle its area is given by:
cheesecake area = πr²
cheesecake area = π(10/2)² = π(5)²
cheesecake area = 25 π square inches
Therefore the number of slices is the ratio of the cheesecake total area by the area of each slice:
The number of slices = 25 π/(25 π/12)
The number of slices = 12
The cheesecake has 12 slices.
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Answer: 12 slices
Step-by-step explanation:
im a year late woo hoo
Which points are solutions to the linear inequality y < 0.5x 2? select three options. (–3, –2) (–2, 1) (–1, –2) (–1, 2) (1, –2)
Answers
The points which are solutions to the linear inequality are; (-3, -2), (-1, -2) and (1, -2)
What is inequality?A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
For (–3, –2)-2 < 0.5(-3) + 2
-2 < 0.5 (satisfied)
For (–2, 1)1 < 0.5(-2) + 2
1 < 1 (Not satisfied)
For (–1, –2)-2 < 0.5(-1) + 2
-2 < 1.5 (Satisfied)
For (–1, 2)2 < 0.5(-1) + 2
2 < 1.5 (Not satisfied)
For (1, –2)-2 < 0.5(1) + 2
-2 < 1.5 (Satisfied)
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Taylor walks 7 miles in 2 hours. At what unit rate does Taylor walk?
O A.
OB.
O C.
O D.
2 miles
7 hours
7/2 miles
1 hour
7 miles
2 hours.
2 hours
7 miles
SUBMIT
Answers
Answer:
B. 7/2 miles per 1 hour
Step-by-step explanation:
The unit rate in this case ,means ,
the number of miles for every 1 hour
Since Taylor walks 7 miles in 2 hours
Then
He walks 7/2 miles in 1 hour
Thus
The unit rate that Taylor walks at is :
7/2 miles per 1 hour
If T(x) = x + 0.14x, then find the value of T(290).
Answers
The value if T(290) is 330.6
What is equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign.
Given:
T(x) = x + 0.14x
T ( 290)= 290+ 0.14* 290
= 290+ 40.6
= 330.6
Hence, the value of T(290) is 330.6.
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how many times does the quadratic function below intersect the x-axis?
y=x^2+10x+25
Answers
y = x^2+10x+25
0 = x^2+10x+25
Factor the right hand side
0 = (x+5)(x+5)
x + 5 = 0
x = - 5
Therefore, the quadratic equation intersects the x-axis at one point (x = -5)
Answer:
A. 1
Step-by-step explanation:
To find the x-intercept, substitute 0 for y and solve for x.
x-intercept(s): (-5,0)
Considering (-5,0) is the only intersection on the x-axis, 1 is your answer.
If you want a visual of this, I recommend you use the Desmos graphing calculator to input your equation. It will show you what the curved line looks like.
Help needed
a hunid points :)
Answers
Answer:
the answer is C, 5a^6b
Step-by-step explanation:
Help... will give you 20 points if you answer
Answers
Answer:
(-3,5) (-3,3) (-8,3)
Step-by-step explanation:
Answer:
(-3,5) , (-3,3) , (-8,3)
Step-by-step explanation:
bye, bye!!
Dr. Smith and Dr. Jones want to study the effects on a patient's arthritis that curl in the patient believes that he was she use a new ointment the control group consists of the patient who chooses to visit Dr. Smith about arthritis and they receiving an appointment with no medical value the experimental group consists of the patients who chooses to visit Dr. Jones about the right s and they receive the new ointments is this study experimental or observational
Answers
Answer:I think observational
Step-by-step explanation:They want to study it so they trying it on people who are willing so they are looking closely to what happens.
Pls help. !!!!!!!!!!!!!!!!!! (Give steps if you can)
Answers
Answer:
[tex]144 cm^{2}[/tex]
Step-by-step explanation:
Step 1: Find the true length of each side
We know that the perimeter is 56cm and the ratio of AD:AB:DC:BC is 5:12:6:5. It is safe to assume that this ratio is the simplified version, which means that if we multiply each of these numbers by a scale factor of [tex]x[/tex], then we get the true length of each side, so we would get [tex]5x, 12x, 6x, 5x[/tex] for the sides. We also know that when we add these numbers, we get the perimeter, which is 56. So, we can create the equation [tex]5x + 12x + 6x + 5x = 56[/tex]. Then, solve the equation for x, which would be 2, and go back and multiply each number with 2 to get the following:
AD = 5*2 = 10cm, AB = 12*2 = 24cm, DC = 6*2 = 12cm, BC = 5*2 = 10cm
Step 2: Calculate the Height
Now we know the lengths of each side, lets take a look at the formula for the area of a trapezium: [tex]\frac{base_{1} + base_2}{2}*height[/tex]. So, the next step would be to calculate the height. We can draw the height by drawing a line straight down from the vertex D and another straight down from the vertex C. These lines are both the height, and will be the exact same length. We can calculate that the height is 8 because AB is 24 cm, but the length from the height at vertex D to the height at vertex C is 12 cm, so that means that the base of each triangle is 12/2 = 6 cm. Then we can use Pythagorean theorem to figure out that the height is 8cm.
Step 3: Calculate the Area
Lastly, we can calculate the area. The formula is [tex]\frac{base_{1} + base_2}{2}*height[/tex]. In this case, the numbers would be [tex]\frac{12 + 24}{2} * 8 = 144cm^{2}[/tex]
I know this is a lot, so let me know if you have any questions!
What's the circumference of a circle with a diameter of 18 inches? Use 3.14 for I. T What's the circumference of a circle with a diameter of 18 inches ? Use 3.14 for I. T
Answers
Answer:
56.52 inches
Step-by-step explanation:
pi is the ratio of the circumference to the diameter so you can simply multiply the diameter by pi to get the circumference which is 3.14 * 18 = 56.52
_3x_13 =_7x+15 what is the an
Answers
Answer:
x = -7Step-by-step explanation:
_3x_13 =_7x+15 what is the anSWER?
assuming that the underscore is a minus and you are looking for the x value.
-3x - 13 = -7 + 15
-3x = -7 + 15 + 13
-3x = 8 + 13
-3x = 21
x = -7
---------------
check
-3 * (-7) - 13 = -7 + 15
21 - 13 = 8
8 = 8
the answer is good
I need help please! What’s the answer?
Answers
Answer:
x = 17.32 units
Step-by-step explanation:
In a right triangle tan (angle) = opposite leg / adjacent leg...
for this triangle tan 27° = 34 / x
then x = 34 tan 27° = 17.32 units
Which expression represents the product of negative three-fourths x and –8x?
Answers
Answer:
6x²
Step-by-step explanation:
[tex]-\frac{3}{4} x\times \left( -8x\right) =\frac{3}{4} x\times 8x[/tex]
[tex]=\frac{3}{4} \times 8\times x\times x[/tex]
[tex]=\frac{24}{4} \times x^{2}[/tex]
[tex]=6x^2[/tex]
The table below shows the results of a survey that asked 1052 adults from a certain country if they favored or opposed a tax to fund education. A person is selected at
random. Complete parts (a) through (c).
(a) Find the probability that the person opposed the tax or is female.
P(opposed the tax or is female) =
(Round to the nearest thousandth as needed.)
(b) Find the probability that the person supports the tax or is male.
P(supports the tax or is male) =
(Round to the nearest thousandth as needed.)
(c) Find the probability that the person is not unsure or is female.
P(is not unsure or is female)=
(Round to the nearest thousandth as needed.)
Answers
The complete options are P(opposed the tax or is female) = 0.28, b. P(supports the tax or is male) = 0.15, c. P(is not unsure or is female) 0.025.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
(a) The probability that the person opposed the tax or is female.
P(opposed the tax or is female) = 298 / 1052 = 0.28
(b) The probability that the person supports the tax or is male.
P(supports the tax or is male) = 168/1052 = 0.15
(c) The probability that the person is not unsure or is female.
P(is not unsure or is female) = 27 / 1052 = 0.025
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Please help asap thanks so much!
Answers
Answer:
see the attachment photo!
Which relation is a function?
{(-4,-7), (-9, 5), (4, -2), (-9, 0)}
{(-7, -7), (-2, 5), (−1, 6), (-2, −5)}
{(0, 1), (3, 2), (5, -3), (0, 2)}
{(-3, -2), (-1, 3), (0, -2), (3, 4)}
Answers
Answer:
Here's a little trick I learned in 8th grade. The first numbers don't matter all that matters are the 2nd numbers, and if you have 2 of the same kind of numbers then it's not a function so your answer would be B.
-16p+37=49-21p what is the answer
Answers
Answer:
p = 12/5Step-by-step explanation:
-16p+37=49-21p what is the answer?
-16p + 37 = 49 - 21p
-16p + 21p = 49 - 37
5p = 12p =
p = 12/5
Find x.
x + 30
3x-30
Answers
The bases of the trapezoid are parallel and the legs are congruent, which means the interior angles are congruent as well.
An equation can be set up where x+30 = 3x-30.
Add 30 to both sides (from right to left side); Subtract x from both sides (from left to right side).
60=2x
Divide both sides by 2 and:
30=x.
Here is a picture showing my work:
What is the value of the expression below?
27−−√3
A
3
B
9
C
24
D
81
Answers
Answer:
I don't see a correct answer. See below.
Step-by-step explanation:
Thanks for clarifying the question. But if 27√3 is the correct expression, I don't see an answer option that fits.
√3 = 1.732
27*(1.732) = 46.77
But all the answer options are whole numbers. The presence of√3 makes it difficult to find an expression that would result in a whole number. Expressions such as:
27/√9 = 9, or
√27/√3 = 3
would be more consistent with producing a whole number result.
I hope this helps.
in an isosceles triangle, the perimeter is 75 cm and one of the sides is 25 cm. Find all its sides. can you find all angles of the triangles?
Answers
Answer:
all angles of the triangles is 60
Step-by-step explanation:
the perimeter = 2*side of an isosceles triangle + bottom edge
----> bottom edge = the perimeter - 2*side of an isosceles triangle =25
----> This is an equilateral triangle ----> all angles of the triangles is 60
