Answer:
x = 8, y = 1.
Step-by-step explanation:
2x + 4y = 20
3x + 2y = 26 Multiply this equation by -2:
-6x - 4y = -52 Add this to the first equation:
-4x = -32
x = -32/-4
x = 8.
Plug x = 8 into the first equation:
2(8) + 4y = 20
4y = 20 - 16 = 4
y = 1.
If 5 deli sandwiches cost $29.75, how much will 8 sandwiches cost?
Question 10 options:
a)
$37.75
b)
$29.75
c)
$0.16
d)
$47.60
What is the solution to this equation?
x + 7 = 23
A. x = 30
B. x = 14
c. x= 16
D. x = 29
________________________________
Solution,
X+7=23
or,X=23-7
X=16
The value of X is 16.
Hope it helps
Good luck on your assignment
______________________________
Answer:
Step-by-step explanation:
x + 7 = 23
When doing this problem, the general goal is to make one side only have 'x'. To do that, subtract from one side the amount that you subtract from the other side.
x + 7 = 23
- 7 = -7 <-- This is where you remove from one side what you remove x + 0 = 16 from the other side.
Now that one side only has X, we can find the answer.
x = 16
What is the area of the garden in Plan B? (Type the numeric answer only).
Answer:
241.5 ft^2
Step-by-step explanation:
First, find the area of the deck. A = LW. L = 20, W = 16.
20 x 16 = 320.
Now that we have found the area of the deck, let's find the area of the garden. A = [tex]r^{2} \pi[/tex]. r = 5.
A = (pi)5^2
A = 25(pi) pi = 3.14
A = 78.5
Since the deck will not cover the garden, we must subtract the area of the garden from the total area of the deck.
320 - 78.5 = 241.5
What is the solution to the equation StartFraction 3 Over m + 3 EndFraction minus StartFraction m Over 3 minus m EndFraction = StartFraction m squared + 9 Over m squared minus 9 EndFraction? m = 3 m = 6 all real numbers no solution
Answer:
No solution.
Step-by-step explanation:
Given fraction is:
[tex]\dfrac{3}{m+3} -\dfrac{m}{3-m} = \dfrac{m^2+9}{m^2-9}\\\Rightarrow \dfrac{3}{m+3} +\dfrac{m}{m-3} = \dfrac{m^2+9}{m^2-9}\\\Rightarrow \dfrac{3\times (m-3)+ m(m+3)}{(m+3)(m-3)} = \dfrac{m^2+9}{m^2-9}\\\Rightarrow \dfrac{3 m-9+ m^2+3m}{m^2-9} = \dfrac{m^2+9}{m^2-9}\\\Rightarrow \dfrac{m^2-9+ 6m}{m^2-9} = \dfrac{m^2+9}{m^2-9}\\If\ m^2-9 \neq 0\ or\ m \neq 3\\\Rightarrow m^2-9+ 6m = m^2+9\\\Rightarrow 6m = 18\\\Rightarrow m = 3[/tex]
Formula used:
[tex](a+b)(a-b) = a^{2} -b^{2}[/tex]
But, the above equation was solved at the condition that:
[tex]m\neq 3[/tex]
So, there is no solution for the given equation.
Answer:
D on Edge2020 (No solution)
Step-by-step explanation:
If the graph of a rational function R has the horizontal asymptote y = 2, the degree of the numerator of R equals the degree of the denominator of R. True or False
Answer: TRUE
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
These are my last points. I just wanted to give them away so the first one to answer correctly get the last points.
Answer:
x=-3
Step-by-step explanation:
\left(5^3\right)^2\cdot 5^{x+4}=5^7
Apply\:exponent\:rule
x+10=7
x=-3
Answer:
x = -3
Step-by-step explanation:
(5^3)^2 · 5^(x+4) = 5^7
First of all, we simplify (5^3)^2. When you have an exponent in parentheses that is raised to another exponent that is outside the parentheses, you multiply the exponents.
(5^3)^2 = 5^(3·2) = 5^6
We cannot simplify 5^(x+4) or 5^7 any further, so our equation is now:
5^6 · 5^(x+4) = 5^7
We can divide 5^6 from both sides to get:
5^(x+4) = (5^7)/(5^6)
When exponents of like terms are divided we can subtract the exponents.
5^(x+4) = 5^(7-6)
5^(x+4) = 5^1
This last part is a bit trickier. When exponents of like terms are multiplied we add the exponents. We can use this knowledge to determine that 5^(x+4) is made up of 5^x · 5^4. Now we have:
5^x · 5^4 = 5^1
We can divide both sides by 5^4.
5^x = (5^1)/(5^4)
We simplify the right side by the same way we did earlier when we divided exponents:
5^x = 5^(1-4)
5^x = 5^-3
We can see that x = -3, but using logarithms, we can finish isolating x. Taking the log base 5 of both sides, we get:
x = log₅(5^-3)
If you don't already know, log₅(5^-3) means what exponent do you raise 5 to in order to get 5^-3. After stating it like this, we can clearly see that log₅(5^-3) equals -3.
So x = -3
Another way we could have solved the logarithm is by using one of the laws of exponents. In this case, we would use logₐ(x^y) = y(logₐm). This would give us:
x = -3(log₅5)
x = -3(1)
x = -3
Either way works.
Which algebraic expression represents the oference of 54 and a number?
2
Answer:
84
Step-by-step explanation:
Write the equation of the line passing through the points (10, 50) and (25, 20).
To write the equation, we need the slope and y-intercept.
Remember that slope is the same as rate of change
or the change in y over the change in x.
Start by setting up a table with x and y values
which I have provided below.
Filling out our table, our given points are (10, 50) and (25, 20).
In the y column, we can see that the value of y
goes from 50 to 20 so it decreases by -30.
This means that the change in y is -30.
In the x column, we can see that the value of x goes from 10 to 25
so it increases by 15 which means that the change in x is 15.
So the rate of change is -30/15 which simplifies to -2.
To find b, we can use any ordered pair
in our table as the values for x and y.
Let's use the first ordered pair.
So we have 50 = -2(10) + b.
Solving from here, we get 50 = -20 + b.
Now add 20 to both sides to get 70 = b.
So if our slope is -2 and our y-intercept is 70,
we can substitute these values into our formula.
This gives us y = -2x + 70.
WILL MARK BRAINLIEST!!!!!!!!! Please fill out the chart and tell which last name belongs to who and which place they came in!
Answer:
See bolded below
Step-by-step explanation:
Our first clue is that Baker is a girl, as this person was referred to as a she. Now she claims to have been placed higher if she didn't eat that blueberry pie, which means she is not first place. Our second clue is that Patrick ranked higher than Davis but lower than Natalie. Patrick and Davis are first and last names, which means they do not go together. And of course Davis is lower than Natalie. Coaster's father was proud of her daughter's ability to eat so much pie, so Coaster must be a girl's last name. There are only two girls, Analee and Natalie, so Coaster should be one of their names. This girl Coaster must have ranked first place. Analee ranked lower than Adam. If this is true, it should be that Natalie is associated with Coaster, considering she is the only girl that could have ranked first place! Lastly, Conner didn't rank last place;
[tex]Baker - she, Baker - Not 1st\\Patrick \neq Davis, Patrick > Davis, Patrick < Natalie,\\Natalie Coaster - 1st Place,\\Analee Baker[/tex]
Thus, we can conclude the following;
Natalie Coaster - 1st Place,
Patrick Adams - 2nd Place,
Analee Baker - 3rd Place,
Connor Davis - 4th Place
Will mark as Brainlist
Does the equation represent a direct variation? If so, find the constant of variation.
4x -5y = 0
a. yes; k = -5 b. no c. yes; k = 4/5 d. yes; k = - 4
The answer :
4/5
Step-by-step explanation:
4x-5y=0
subtract 4x on both the sides
4x-4x-5y = 0-4x
-5y = -4x
divide by -5 on both the sides
-5y/-5 = -4x/-5
y =( 4/5 )x
If a quadrilateral has exactly 2 lines of symmetry, and both are angle bisectors, then which statement would be true?
The figure must be an isosceles trapezoid because it has 2 congruent base angles.
The figure must be a rectangle because all rectangles have exactly 2 lines of symmetry.
The figure could be a rhombus because the 2 lines of symmetry bisect the angles.
The figure could be a square because the diagonals of a square bisect the right angles.
Answer:
the figure could be a rhombus because the 2 lines of symmetry bisect the angles
Step-by-step explanation:
Option C is correct. , if a quadrilateral has exactly 2 lines of symmetry, and both are angle bisectors, the figure could be a rhombus because the 2 lines of symmetry bisect the angles.
Quadrilaterals are figures with four sides and angles. Examples of quadrilateral include:
RectangleSquarerhombusA line of symmetry is a line that divides a shape such that they become mirror images of each other.
Hence, if a quadrilateral has exactly 2 lines of symmetry, and both are angle bisectors, from the options, the figure could be a rhombus because the 2 lines of symmetry bisect the angles (divides the angles equally).
Learn more here: https://brainly.com/question/19670823
Lance is tracking the progress of his plant's growth. Today the plant is
5 cm high. The plant grows 1.5 cm per day. Which equation below
represents the height of the plant (h) after d days?
Answer:
h = 5 + 1.5d
Step-by-step explanation:
Question 3 of 10
2 Points
Which is the best definition of an exterior angle of a triangle?
O A. An angle that is complementary to one of the interior angles of
the triangle
B. An angle that is formed by two segments that are not sides of the
triangle
C. An angle that forms a linear pair with one of the interior angles of
the triangle
O D. An angle that is formed by two segments that are sides of the
triangle
Answer:
an interior angle is an angle inside a shape, while an exterior angle is an angle made by the side of a shape and a line drawn out from an adjacent side. The sum of the interior angles of a triangle is always 180. ... An exterior angle is equal to the sum of the non-adjacent interior angles.
Step-by-step explanation:
Answer:
An angel that forms a linear pair with okie of the interior angels of the triangle
Step-by-step explanation:
The ratio of adults to children at an amusement park is 3 to 5. If there are 225 children, how many adults are at the amusement park?
A. 360
B. 45
C. 135
D. 75
Answer:
C
Step-by-step explanation:
Answer:
C 135.
Step-by-step explanation:
For every 3 adults there are 5 children therefore by proportion if there are 225 children there are 225 * 3/5
= 45 * 3
= 135 adults.
Which expression does not represent "the sum of n and 6"? n + 6 6 n 6 + n
Answer:
Step-by-step explanation:
6n because 6n it's 6 times n
______________________________
Hey!!
Answer: 6n
6n does not represent "the sum of n and 6"
6n represents "the product of n and 6"
Hope it helps..
Good luck on your assignment
___________________________
The circumference of the earth is given.
What is the diameter of earth? Round your answer to the nearest tenth. Use 3.14 for π.
Enter your answer in the box below.
____miles
Answer:
Diameter of the earth is 7930.25 miles
Step-by-step explanation:
To find the diameter of the earth, we will follow the steps below:
first write the formula of the circumference
c = 2πr ---------------------------------------------------------------------------------------------(1)
where r is the radius and c is the circumference
from the diagram below, circumference is given to be 24901 miles
π = 3.14
substitute the value of c and π into equation (1) and solve for r
c = 2πr
24901 = 2 × 3.14× r
24901 = 6.28 r
Divide both-side pf the equation by 6.28
24901/6.28 = 6.28 r/6.28
3965.1274≈ r to the nearest tenth
r≈ 3965.1274 miles
But diameter = 2r
diameter = 2 × 3965.1274
diameter ≈ 7930.25 to the nearest tenth
Diameter of the earth is 7930.25 miles
Answer:
7930.3milesStep-by-step explanation:
The earth is spherical in shape. The formula for calculating the circumference of a sphere is πd where d is thee diameter of the earth.
C = πd
Given C = 24, 901miles and π = 3.14, on substituting,
24, 901 = 3.14d
d = 24,901/3.14
d = 7930.255
d ≈ 7930.3miles to the nearest tenth
The table below represents a proportional relationship. The unit rate of the relationship is
Answer:
the unit rate is 3
Please help I am being timed
Answer: She earned 868,5 in total last week.
Step-by-step explanation:
18 x 40 = 720 --> earned during the first 40 hours of work
27 x 5,5 = 148,5
148,5 + 720 = 868,5--> total
Answer:
$868.50
Step-by-step explanation:
She worked for 40 hours and gained $18 per hour. That equals $720. She then worked for 5.5 more hours gaining $27 an hour. That equals $148.5. Add those together and you get $148.50.
Can someone help me on this? I really need help badly.
Answer:
To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. Apothem = a segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side.
Step-by-step explanation:
To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. Apothem = a segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side.
AB is a diameter of circle C. What is the degree measure of x?
The coordinate grid shows points a through k. Which points are solutions to the system of inequalities 2x+y 8 please help this is my last resort
Answer:
The points that verify the system of inequalities are:
point E, pointF, and point G.
Step-by-step explanation:
Please see the attached image that illustrates the boundary lines in your system of inequalities.
The boundary line for the inequality [tex]2x+y<10[/tex] is depicted in green, while the boundary line for the inequality [tex]2x-4y>8[/tex] is depicted in red.
By solving for y in each inequality, we understand which half-plane should be considered for the inequality:
First inequality (green boundary line) :
[tex]2x+y<10\\y=10-2x[/tex]
This means that we are to consider the points below the green boundary line.
Second inequality (red boundary line) :
[tex]2x-4y >8\\2x-8>4y\\y<\frac{1}{2} x-2[/tex]
This means we have to consider the points below the red boundary line.
Recall as well that both conditions we arrived at have to be satisfied by the points that are solutions of both inequalities.
From the image, we can see that there are only three points that reside at the same time below the green and the red boundary lines. These points are: point E, pointF, and point G.
On the other hand, we have two points that lie on a boundary line (point J and H), but they should be ignored, since the system of inequalities contain just inequality symbols < or >, and not the "equal" sign.
If x is 5, then 6x = _____. 30 x 5 x 30
Answer:
6x = 30
Step-by-step explanation:
6x
Let x = 5
6*5 = 30
6x = 30
________________________________
Hey!!!
Solution,
X=5
Now,
6x
=6*5
=30
So the right answer is 30.
please see the attached picture for full solution
hope it helps
Good luck on your assignment
______________________________
Show that (−3) × (−4) = +12 using the distributive property.
-3x-4= +12
X negative 3 and 4 then add +12 to it.
Triangle G H F is shown. Angle F G H is a right angle. The length of G H is 28 and the length of hypotenuse F H is 40.
Law of sines: StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction = StartFraction sine (uppercase C) Over c EndFraction
What is the approximate measure of angle F? Use the law of sines to find the answer.
11.5°
44.4°
68.0°
81.9°
Answer:
44.4
Step-by-step explanation:
right on edge
plz plz plz i really need this will mark bianleast
Triangle DEF is to be translated left 2 units, up 4 units.
What are the vertices of the translated triangle?
D'(–1, 5), E'(3, 2), and F'(5, 8)
D'(–1, –3), E'(3, –6), and F'(5, 0)
D'(–5, 5), E'(–1, 2), and F'(1, 8)
D'(–5, –3), E'(–1, –6), and F'(1, 0)
What is the volume of this triangular prism?
A right triangular prism with a height of 13 meters, width of 6 meters, and length of 5 meters.
182 m^3
195 m^3
210 m^3
390 m^3
Answer:
195
Step-by-step explanation
since its 13 times 6 times 5 that is 390, but u have to do one half for triangles so its 195 i think
2y+ 18x = 2x(x +9)
Please show work!
Answer:
Step-by-step explanation:
[tex]2y+18x=2x\left(x+9\right)\\Parabola\:standard\:equation\\4p\left(yk\right)=\left(xh\right)^2\:\mathrm{\:is\:the\:standard\:equation\:for\:an\:up-down\:facing\:parabola\:with\:vertex\:at}\:\left(h,\:k\right), \\\mathrm{and\:a\:focal\:length\:}\:|p|\\\mathrm{Rewrite}\:2y+18x=2x\left(x+9\right)\:\mathrm{in\:the\:standard\:form}\\2y+18x=2x\left(x+9\right)\\\mathrm{Rewrite\:as}\\2y=2x\left(x+9\right)-18x\\\mathrm{Divide\:by}\:2\\y=x^2\\\mathrm{Rewrite\:in\:standard\:form}[/tex][tex]4\cdot \frac{1}{4}\left(y-0\right)=\left(x-0\right)^2\\Therefore\:parabola\:properties\:are:\\\left(h,\:k\right)=\left(0,\:0\right),\:p=\frac{1}{4}[/tex]
Stephanie uses 4 cups of flour to make 10 tortillas. How many cups of flour will she use to make 25 tortillas?
Answer: 10 cups
Step-by-step explanation:
10 tortillas = 4 cups
25 tortilas = 25/10 x 4 = 10 cups
Answer:
10 cups
Step-by-step explanation:
Let's use a ratio:
cups : tortillas
4 : 10
2 : 5
10 : 25
Stephanie needs 10 cups of flour.
What is the relationship between the diameter and the circumference of a circle?
A. Diameter is about 2x the circumference.
B. Circumference is about 2x the diameter.*** My choice.
C. Diameter is about 3x the circumference
D. Circumference is about 3x the diameter.
Answer:
Thje answer is D.
Step-by-step explanation:
The circumference is always 22/7 times longer (about 3.14)
A POLE DANCER MAKES $16.29 PER HOUR. SHE EARNS A TOTAL OF $800. HOW MANY HOURS DOES SHE WORK?
Answer:49.10988336
Step-by-step explanation:
800 divided 16.29
800÷16.29=49.10988336