hey!! can someone please help me with these math problems? I would appreciate it, thank you(:
{x=-1/3-10/3y
5x+20y=5
5(-1/3-10/3y)+20y=5
solve the equation
.
.
Y=5
substitute the value of y into the equation
x=-1/3-10/3×2
.solve the equation
.
.x=-7
(x,y)=(-7,2)
{3×(-7)+10×2=-1
5x(-7)+28×2=5
simplify
{-1=-1
5=5
the ordered pair is asolution
(X,Y)=(-7,2)
That's all!!!!
Answer:
x = -7 y = 2
Step-by-step explanation:
Let's solve this using the elimination method:
3x + 10y = -1. #1
5x + 20y = 5. #2
Multiply Eqtn #1 by -2
-6x - 20y = 2
5x + 20y = 5
Add these two equations together and we will get
-x = 7 or x = -7
Use this value of x into either Eqtn #1 or #2
3(-7) + 10y = -1 ----> 10y = 20 or y = 2
In the diagram, two circles, each with center $D$, have radii of $1$ and $2$. The total area of the shaded region is $\frac5{12}$ of the area of the larger circle. How many degrees are in the measure of (the smaller) $\angle ADC$
Angle ADC = 120 degrees.
What is area of sector?A certain portion of a circle that is created based on two radius of the same circle and one arc. Area of sector for a circle with radius r is given by π r²Ф/ 360°
What is the angle of ADC in the smaller circle?
Given, two circles of radius 1 unit and 2 unit which have same center D.
We know area of a circle = π r²
Area of larger circle = π 2² = 4π
it is said that the total area of the shaded region that means area of a particular sector is 1/12 of the area of the larger circle.
area of sector, ACD = 1/12 ×4π
as per the question, the ACD sector is located in the smaller circle that has radius 1 unit.
formula for area of sector ACD = π r² ×Ф/360°
where,Фis the central angle of ACD sector
and Ф = ADC
from the above statement, 4π/12 = π r² ADC/360
ADC = 1/3×360°
ADC = 120 degrees
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George is creating a garden with
an area of 300 square feet. He's
trying to decide if he should make
the garden 20 feet long and 15
feet wide OR 30 feet long and 10
1 feet wide. Which measurements
would use less fencing?
If George is trying to fence the garden with less fences possible between the two options given in the question, the first option of measurements i.e 20 feet long and 15 feet wide would take less fencing.
What is perimeter of a rectangle?It is the entire distance encircled on all sides by the rectangle.One of the key equations for the rectangle might be regarded to be its perimeter.
What is the formula for calculating the perimeter of a rectangle?The formula for calculating the perimeter of a rectangle is :
P = 2*l + 2 *b where , l and b are the length and breadth of the rectangle.
For the first option, where the garden is 20 feet long and 15 feet wide, the perimeter would be 20+20+15+15 = 70 feet.
For the second option, where the garden is 30 feet long and 10 feet wide, the perimeter would be 30+30+10+10 = 80 feet.
Therefore, the first option where the garden is 20 feet long and 15 feet wide would use less fencing, 70ft in this case, as the perimeter is lower than the other option which is 80 ft.
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PLEASE HELP! WILL GIVE BRAINLIEST!
Khan Academy - Solve Similar Triangles (advanced)
Solve for X.
Answer:
x = 3[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
4 + 6 = 10
[tex]\frac{2}{6}[/tex] = [tex]\frac{x}{10}[/tex]
6x = 20
x = 3[tex]\frac{1}{3}[/tex]
Please help me with this question:
What is 2x-2?
Answer:
as a factor 2(x-1) this should help or be the correcr answer
Add: 2y+1/y-3+y+2/6y 1.Find the LCD. LCD= (y-3)(6y) 2. Multiply to create common denominators. 2y+1/y-3 (6y/6y)= 12y^2+6y/(y-3)(6y)
Answer:
C
Step-by-step explanation:
edge 2020
C 12y^2+5y-6/(y-3)(6y)
If { 4x+y=13
x−y=2
, then y=
Answer:
2.5
Step-by-step explanation:
Taking eguation i
4x+y=13
x= 13-y/4
Taking equation ii
x-y = 2
Substituting the value of x in eq i from ii
x- y =2
13-y/4- y=2
13-y-y=2×4
13-2y =8
-2y=8-13
y=-5/-2
Therefore y=2.5
A calculator cost 32.00 if the sales tax is 6% what is the price ?
Answer:
Step-by-step explanation:
Here is how to solve the given problem above.
Given that the calculator costs $32 and has a tax of 6%, what we are going to do is to find how much is 6% of 32. So 32 times 0.06 is 1.92. So, we add this amount to 32 dollars, and the total price would be 33.92 dollars. Hope this answer helps.
Answer:
33.92
Step-by-step explanation:
32 times 6 divided by 100 gives you 1.92, the sales tax,
add it to 32 and then you get 33.92
pls help me lm desperate at this point
Answers:
Rose: y=500
$500
Summer: y=15x+200
$575
Poppy: y=30x
$750
Daisy: y=12.50x+350
$662.5
Violet: y=6x+450
$600
*Make sure you plug the 25 hours in yourself to double check my answers.*
Step-by-step explanation:
I just wrote the equation in number form and plugged the 25 hours in.
Aquarium one contains 4. 6 gallons of water Luis Will begin filling aquarium one at a rate of 1. 2 gallons per minute aquarium to contains 54. 6 gallons of water Isaac will begin draining aquarium two at a rate of 0. 8 gallons per minute
The Filling time is After 25 minutes, both Aquariums will contain same amount of water.
What is filling time?you've fully prepared the aquarium, all you need to do is follow these quick and easy steps and safely fill your aquarium with water.
Calculate the Filling Time of the aquarium Explanation
Given,
Water in Aquarium A = 4.6 gallons
Water in Aquarium B = 54.6 gallons
Filling rate = 1.2 gallons per minute.
Draining rate = 0.8 gallons per minute.
Let,
x represents the minutes.
A(x) = 4.6 + 1.2x
(Because Luis is adding water in the tank.)
B(x) = 54.6 - 0.8x
(Isacc is draining water from the tank.)
For same amount of water;
A(x) = B(x)
4.6+1.2x=54.6-0.8x
1.2x+0.8x=54.6-4.6
2x=50
Dividing both sides by 2
2x/2=50/2
x=25
Therefore, After 25 minutes, both Aquariums will contain same amount of water.
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HELP!!! NO LINKS PLEASE!!!
a) A designer has a circular tablecloth with radius 0.5 m. He wants to sew a fringe around the cloth. The fringe is sold by the tenth of a meter.
(i) What length of fringe is needed?
(ii) One meter of fringe costs $4.70. How much will the fringe cost?
b) A semicircular mat has a diameter of 18 m. What is the area of the mat?
Step-by-step explanation:
a) (i) length = 2(pi)r = 2(3.14)(.5 m) = 3.14 m
(ii)3.14 m × ($4.70/m) = $14.76
b) A = (pi)r^2 = (3.14)(18 m)^2 = 1017.9 m^2
Taylor drives 7.5 miles in 10 minutes. If she drove two hours in total at the same rate,
how far did she go?
Before you try that problem, answer the question below.
How many minutes did Taylor drive in total?
Answer:
200 is your answer. (insert more text to be helpful here)
A botany student drew a sketch of a birch tree using a scale of 1 inch:2 meters. Find the
actual height of the tree, if it measures 3 inches in the sketch.
Answer:
6 meters
Step-by-step explanation:
^_^
How many 1/3 cup servings are there in 10 cups of cereal?
Answers:
30
1/10
1/3
9
Answer:
30
Step-by-step explanation:
Select the correct answer.
How many solutions does this system of equations have?
y = 2x + 5
y = x^3 + 4x^2 + x + 2
A. No solution
B. 1 solution
C. 2 Solutions
D. 3 Solutions
An equation is formed of two equal expressions. The number of solutions that the given system of equation will give is 3. Thus, the correct option is D.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The number of solutions that the system of equations will have can be found by plotting both the equation on the graph.
Since the point at which the graph intersects is the solution of the system of equations.
Hence, the number of solutions that the given system of equation will give is 3. Thus, the correct option is D.
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A scientist studies the population of an insect colony. She begins her study with 10,000 insects in the colony and measures the population of the colony
each year. She uses the given formula to model the insect population, P, é years since the beginning of the study.
P= 10,000(1.08)
By what percent does the Insect population grow each year?
%
Calculate the slope of the line.
m=
Answer:
m=4
Step-by-step explanation:
look at the traingle formed with line with points (6,5) and (4, -3)
look at change in y (how tall the triangle is) and change in x (the base of triangle)
change in y=8
change in x=2
m=rise/run also known as change in y/change in x
=8/2
=4
note that this is a positive gradeint line
Solve for the missing side length in this triangle
Answer: C= 30
Step-by-step explanation:
A^2+B^2=C^2
C= √(B²+A²)
C= √(18²+24²)
C=30
y = -11x - 25 ...........(i)
y = 5x - 7 ...............(ii)
Answer:
3/2
Step-by-step explanation:
5x-7=-11x-25
5x+11x=-25+7
16x=18
x=18/16
x=3/2
Find the mean, variance and standard deviation for the probability distribution given below:
X -1 3 9 12
P(X) 0.587 0.115 0.21 0.088
A. Mean = B. Variance = C. Standard Deviation =
The mean, variance, and standard deviation for the probability distribution given are A. Mean = 5.5; B. Variance = 13.875; C. Standard Deviation = 3.722.
The mean, variance and standard deviation of the probability distribution can be calculated using the formula. The mean is calculated by summing up the product of all the values and their respective probabilities and then dividing it by the total probability. In this case, the mean is calculated as:
(1*0.587 + 3*0.115 + 9*0.21 + 12*0.088)/(0.587 + 0.115 + 0.21 + 0.088) = 5.5.
The variance is calculated by summing up the product of the squares of the values and their respective probabilities and then dividing it by the total probability. In this case, the variance is calculated as:
(1^2*0.587 + 3^2*0.115 + 9^2*0.21 + 12^2*0.088)/(0.587 + 0.115 + 0.21 + 0.088) = 13.875.
The standard deviation is the square root of the variance and it is calculated as √13.875 = 3.722.
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Why are the acute angles of an isosceles right triangle always 45?
An isosceles right triangle has two sides that are equal in length; this means that the angles opposite the sides must also be equal. Since the triangle is a right triangle and the sum of angles of a triangle is 180 degrees, the angles must each be 45 degrees.
The acute angles of an isosceles right triangle are always 45 because of the Pythagorean Theorem. This theorem states that in a right triangle the sum of the squares of the two sides adjacent to the right angle (the legs) is equal to the square of the hypotenuse. Since an isosceles right triangle has two equal legs, and the hypotenuse is the longest side, the two legs must both have the same length, and the angles opposite from these sides must also be the same. This means that the two acute angles in an isosceles right triangle must both be 45 degrees.
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m(x)=−2(x−3)(x−9) solve for y-intercept
Answer:
(0, -54)
Step-by-step explanation:
We find the y-intercept by plugging in 0 for x:
[tex]y=-2(x-3)(x-9)\\y=-2(0-3)(0-9)\\y=-2*-3*-9\\y=6*-9\\y=-54[/tex]
Solve the following equation by first writing the equation in the form a x squared = c: t squared minus 49 = 0 a. t = 49 b. t = plus-or-minus 49 c. t = 7 d. t = plus-or-minus 7 Please select the best answer from the choices provided A B C D
The best answer is t = 7. Option C
What is a quadratic equation?A quadratic equation is simply defined as an equation that could be rearranged in standard form.
It is also described as an algebraic equation having the highest exponent of as 2.
It is so arranged such that;
x represents an unknown valueVariables, a, b, and c represent known numbersAlso, a is not equal to 0, a ≠ 0It is important to note that the three methods of solving quadratic equation are;
FactorizationUsing the quadratic formulaUsing completing the square methodFrom the information given, we have that the form is;
x² = c
Given t squared minus 49 = 0
First, represent mathematically
t² - 49 = 0
Now, collect like terms, we have;
t² = 49
Take square root of both sides
t = √49
t = 7
Hence, the equation is t = 7
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1. True or False: The solution you get from substitution is the same as the solution you would get
from graphing. *
False
True
2. For substitution, we want *
(1 Point)
a. both equations to be in standard form Ax + By = C
b. equations with negative numbers
C. at least one equation to be y= or x=
d. equations with positive numbers
answer:
my answer to the first one would be false
my answer to the second would be a
The square on the right is a scaled copy of the square on the left. Identify the scale
factor. Express your answer as a whole number or fraction in simplest form.
8
8
4
Writing the whole number in the numerator and 1 in the denominator. Fraction in simplest form is 8
In the simplest form, how do you write an answer as a fraction?How to Find the Most Basic Form
Determine the GCF of the fraction’s numerator and denominator.
Divide the created GCF by the numerator and denominator.
Fill in the blanks with the simplified fraction of the supplied fraction.
The most basic form, If the top and bottom have no common components other than 1, the fraction is in its simplest form. In other words, the top and bottom cannot be divided any further and still remain full numbers. You may sometimes hear the phrase “lowest terms” when referring to the simplest form.
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How many solutions does y 2x 5 and 8x 4y =- 20 have?
A system of linear equations: y + 2x = -5 and 8x + 4y = -20 has infinitely many solutions.
The 3 possible solutions of a linear system are:
- Unique or one solution
- Infinite solutions
- No solution
If the linear equations are exactly (or can be transformed to exactly) the same equations, the solution is infinite.
The given linear system is:
y + 2x = -5 ....... (equation 1)
8x + 4y = -20 ..........(equation 2)
Rearrange equation 1 to:
2x + y = -5
Multiply both sides by 4:
8x + y4 = -20
Hence, equation 1 is equivalent to equation 2. Hence, the given linear system has infinitely many solutions.
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Carly is telling Stephanie about her parents' divorce. Which body language would best display that Stephanie is actively listening to Carly?
Returning text messages as Carly speaks.
Turning her body toward Carly.
Stopping Carly's story to ask questions.
Focusing on people in the background.
Answer:
Turning her body toward Carly.
Step-by-step explanation:
Since turning someone's body towards the speaker means that they are actively paying attention. If she would return text messages, it would make it look like Stephanie doesn't care at all, same thing for focusing on people in the background. If she were to stop Carly's story to ask off-topic questions, it would also make Stephanie seem ignorant.
Please help! Due Soon - You will get 30 points and brainliest! - 4 pictures in total - links=reported - thanks!
Answer:
(the last one) i think its B
Step-by-step explanation:
A circle has a radius of 6. An arc in this circle has a central angle of 48º.
What is the length of the arc?
Either enter an exact answer in terms of or use 3.14 for and enter your answer as a decimal.
Answer:
Step-by-step explanation:
48 * [tex]\pi[/tex] / 180 = 0.837758041
PLZ I NEED HELP NOW THANKS
Answer:
1240.4 mm²
Step-by-step explanation:
SA of Pentagonal pyramid:
(as)(5/2) + (sl)(5/2)
↑ ↑
base area lateral area
_____________________
a: apothem (in-radius) length, s: side length.
l: slant height.
______________________
Since we are already given the base area which is 440.4 mm². All we need to do is find the lateral area and add both areas together.
Given that the triangular face of the lateral part has a side/base length of 16mm, and a 20mm slant height.
A triangle has an area of ½bh and since there are 5 of these faces total, (5)(½bh) = (5/2)(bh). In a three dimensional perspective, b will be s and h will be l so (sl)(5/2).
With this information the surface area is:
(16)(20)(5/2)mm + (440.4 mm²) →
800 mm² + 440.4 mm² =
1240.4 mm²