Answer: C
Step-by-step explanation:
[tex]2x+5y=5[/tex]
[tex]\mathrm{Subtract\:}2x\mathrm{\:from\:both\:sides}[/tex]
[tex]2x+5y-2x=5-2x[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]5y=5-2x[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}5[/tex]
[tex]\frac{5y}{5}=\frac{5}{5}-\frac{2x}{5}[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]\bf{y=-\frac{2}{5}x + 1}[/tex]
there are 374 students at a school. Each table in the cafeteria hold 16 students. What is the MINIMUM number of tables needed for all of the students to eat lunch at the same time
Answer: There should at least be 23 tables
Step-by-step explanation:
If there is 23 tables there will still be six students with nowhere to sit :)
Convert 5 3/4 to a decimal. Round to the nearest tenth.
Answer:
5.75
Step-by-step explanation:
Make denominator to 100 by multiplying by 25
4*25=100
3*25=75
75/100=.75
Winston-Salem is halfway between Boone and Raleigh. Burlington is halfway between Winston- Salem and Raleigh. If Boone is located at the coordinates (-1,3) and Raleigh is at (-5, 9), what are the coordinates of Burlington?
Answer:
The answer is (-4, 15/2)
Step-by-step explanation:
Let the Boone be x, Winston-Salem be y, Raleigh be z and Burlington be m.
We are given that Winston-Salem is halfway between Boone and Raleigh. Burlington is halfway between Winston- Salem and Raleigh.
If Boone is located at the coordinates (-1,3) and Raleigh is at (-5, 9).
We will use Midpoint Formula
[tex]( \frac{x _{1} + x _{2}}{2} , \frac{y _{1} + y _{2}}{2} ) \\ [/tex]
Where,
x₁ = (-1) and x₂ = (-5)
y₁ = 3 and y₂ = 9
Now, We will find Co-ordinates of y i.e., Winston-Salem.
So,
[tex] ( \frac{( - 1) + ( - 5)}{2} , \frac{3 + 9}{2} ) \\ [/tex]
[tex]( \frac{( - 1 - 5)}{2} , \frac{12}{2} ) \\ [/tex]
[tex]( \frac{ - 6}{2} , \frac{12}{2} ) \\ [/tex]
[tex]( - 3,6)[/tex]
Here, The coordinates of y i.e., Winston-Salem is (-3, 6).
Now, We will find Co-ordinates of m i.e., Burlington.
So,
Again, Using of Midpoint Formula;
Where,
x₁ = (-3) and x₂ = (-5)
y₁ = 6 and y₂ = 9
So,
[tex]( \frac{( - 3) + ( - 5)}{2} , \frac{6 + 9}{2} ) \\ [/tex]
[tex]( \frac{( - 3 - 5)}{2} , \frac{15}{2} ) \\ [/tex]
[tex]( \frac{( -8)}{2} , \frac{15}{2} ) \\ [/tex]
[tex]( - 4 , \frac{15}{2} ) \\ [/tex]
Thus, The coordinates of Burlington is (-4, 15/2).
23 10. Construct a quadratic equation whose roots are 1 and 2.A 3X-3x + 2-0 B. 3 + 3x - 2-0 C 22 + 3x - 2.0 D 2 - 3x +2=0 E.2x - 3x - 2 =0
Answer:
Step-by-step explanation:
Basic quadratic equation has this following form:
[tex](x-x_{1})(x-x_{2})=0[/tex]
where x1 and x2 are the roots.
For [tex]x_{1}=1[/tex] and [tex]x_{2}=2[/tex], we can find:
[tex](x-1)(x-2)=0 \rightarrow x^{2}-2x-x+2=0 \rightarrow x^{2}-3x+2=0[/tex]
Find the measure of the indicated arc
Step-by-step explanation:
we need the length of the arc ?
the length of the arc fully around the circle (360°) is the circumference of the circle : 2×pi×r
and the arc length for 123° is then
2×pi×r×123/360
but we would need r to calculate that. you did not provide that.
the only other thing that comes to mind is : the arc angle is indeed the angle at the center of the circle and is 123°.
i don't know how else to help you, as i cannot think of anything else you might need there.
What is 1 + 1 x 3 Whoever answers it to
Answer:
It equals 4
Step-by-step explanation:
1 + 1 x 3=4
Answer:
I think it equals 4
Step-by-step explanation:
1 + 1 x 3=4
An arrow is shot vertically upward at a rate of 190 feet per second from ground level. Use the projectile formula
h
=
−
16
t
2
+
v
0
t
+
h
0
h
=
-
16
t
2
+
v
0
t
+
h
0
to determine when the height of the arrow will be 471 feet.
The height of the arrow will be 471 feet at 8.35s and 3.53s
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
h represent the height of the arrow after t seconds.
h(t) = -16t² + v₀t + h₀
v₀ is the initial velocity = 190 ft/s, h₀ is the initial height = 0m, hence:
h(t) = -16t² + 190t
At 471 feet:
471 = -16t² + 190t
0 = -16t² + 190t - 471
t = 8.35 or 3.53
The height of the arrow will be 471 feet at 8.35s and 3.53s
Find out more on equation at: https://brainly.com/question/2972832
X + 2x + 8 = X = 10 + 6
Answer:
x = 8/3
Decimal form: 2.66666666667
Step-by-step explanation:
Given:
[tex]x+2x+8=10+6[/tex]
Solution:
[tex]\mathrm{Add\:similar\:terms:}\:x+2x=3[/tex]
[tex]3x+8=10+6[/tex]
[tex]\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}[/tex]
[tex]3x+8-8=16-8[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]3x=8[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}3[/tex]
[tex]\frac{3x}{3}=\frac{8}{3}[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]x=\frac{8}{3}[/tex]
[tex]x=2.66666666667[/tex]
~lenvy~
Answer/Step-by-step explanation:
Base on the given we are..
Solving for x:
Solve:
X + 2x + 8 = X = 10 + 6 {x+2x= 3x}
3x + 8 = 10 + 6 {10+6=16}
3x + 8-8=16-8 {16-8=8}
3x = 8 {divide both sides by same term}
3x/3 = 8/3
Therefore,
x = 8/3
Decimal form = 2.66666666667
[RevyBreeze]
What will be the angle A?
Answer: 30 degrees
Step-by-step explanation:
Each of two computers can process bills at 160/min a newer model can process bills at 200/min after the first two computers have worked 1.5 min they are joined by the third computer how long will it take fromthe time the first two computers are turned on to process 1780
How does finding a pattern for a rule change if you subtract instead of add?
Answer:
When you subtract, the numbers decrease however when you add the numbers increase.
Step-by-step explanation: Theres the answer but is it multiple choice? if so than you can give me the choices and ill tell you the answer. But i hope this helped and if u need anything u can ask!
Huntington Medical Center purchased a used low-field MRI scanner 2 years ago for $445,000. Its operating cost is $350,000 per year and it can be sold for $150,000 anytime in the next 3 years. The Center’s director is considering replacing the presently owned MRI scanner with a state-of-the-art 3 Tesla machine that will cost $2 million.The operating cost of the new machine will be $280,000 per year, but it will generate extra revenue that is expected to amount to $550,000 per year. The new unit can probably be sold for $875,000 3 years from now. You have been asked to determine how much the presently owned scanner would have to be worth on the open market for the AW values of the two machines to be the same over a 3-year planning period. The Center’s MARR is 10% per year.
The worth of the old scanner machine in the open market will be $86601.60.
How to calculate the worth on open market?To calculate the worth of the scanner on the open market, it's important to compare the values of the machines.
The calculation of the worth of the scanner goes thus:
Let the worth be represented by x.
x(A/P,10%, 3) - 350000 + 150000(A/F, 10%, 3) = 2000000(A/P, 10%, 3) + 270000 + 875000(A/F, 10%, 3)
= 0.4021x - 350000 + 45315 = -804200 + 270000 + 264337.50
0.4021x = 34822.50
Divide by 0.4021
x = 34822.60/0.4021
x = 86601.60
Therefore, the worth is $86601.60.
Learn more about open market on:
https://brainly.com/question/1426204
find the area bounded by the Curves y=4-x² and y
The area bounded by the Curves y=4-x² and y = 2x + 1 is 10 1/3 units.
What is area?Area is the amount of space occupied by a two dimensional shape or object.
y = 4 - x² and y = 2x + 1
4 - x² = 2x + 1
x² + 2x - 3 = 0
(x + 3)(x - 1) = 0
x = -3; or x = 1
The area (A) is given by:
[tex]A=\int\limits^1_{-3} {x^2+2x-3} \, dx \\\\A=10\frac{1}{3}[/tex]
The area bounded by the Curves y=4-x² and y = 2x + 1 is 10 1/3 units.
Find out more on area at: https://brainly.com/question/25292087
Determine the value of x if the mode is 18
n/52 = 180/120 = n
18/n = 21/28 =n
n/4 = 24/6 =n
10/16 = n/56=n
solve each propotion
Answer:
1. n/52 = 180/120
180/120 = 1.5
n/52 = 1.5
Multiply 52 on both sides to simplify:
n=78
2. 18/n = 21/28
21/28 = 0.75
18/n = 0.75
Multiply n on both sides to remove
fraction: 18 = 0.75n and divide both sides
by 0.75 to simplify again.
n=24
3. n/4 = 24/6
24/6 = 4
n/4 = 4
Multiply 4 by both sides to simplify:
n=16
4. n/56 = 10/16
10/16 = 0.625
n/56 = 0.625
Multiply 56 on both sides to simplify:
n=35
Step-by-step explanation:
Please help, has t toy cars. Zachary has 3 times as many toy cars as Oliver. Write an expression
that shows how many toy cars Zachary has.
Answer:
z=3t
Step-by-step explanation:
multiply it by 3
Which graph represents an exponential function?
Answer:
the linear graph man
please why ask ezzy questions
least to greatest 52, 63, 55, 56, 62, 54, 59, 60, 53, 61, 88
Answer:
52, 53, 54, 55, 56, 59, 60, 61, 62, 88
Step-by-step explanation:
You need to start from 52 to 88 (least to greatest) and then you will get answer.
Which of the following number sentences is an example of the associative property? Select all that apply.
[tex](1\frac{2}{5}*3\frac{1}{2} )*4=1\frac{2}{5} (3\frac{1}{2} *4)[/tex]
[tex]2.5*(1.8+6.3)=(2.5*1.8)+(2.5*6.3)[/tex]
10(4.6 × 3) = (10 × 4.6) × 3
6.3 × 1 = 6.3
Associative property:-
a+(b+c)=(a+b)+cLets check one by one
#1
Here the rule is
(ab)c=a(bc)Hence Yes associative property
#2
Here the rule is
a(b+c)=ab+acHence no it's distributive property
#3
a(bc)=(ab)cYes
#4
ab=baNo
Associative property meaning rearranging the parentheses in an expression which will not change the result.
✔A)
[tex]\rightarrow \sf (1\dfrac{2}{5} \ x \ 3\dfrac{1}{2} ) \ x \ 4 = 1\dfrac{2}{5} (3\dfrac{1}{2} \ x \ 4 )[/tex]
[tex]\rightarrow \sf \dfrac{98}{5} = \dfrac{98}{5}[/tex]
This uses associate property as it is rearranged in a different way and result same.
B)
[tex]\rightarrow \sf 2.5 \ x \ (1.8 +6.3) = (2.5 \ x \ 1.8)+(2.5 \ x \ 6.3 )[/tex]
This property is called distributive property. a(b + c) = a(b) + a(c)
✔C)
[tex]\sf \rightarrow 10(4.6 \ x \ 3) = (10 \ x \ 4.6) \ x \ 3[/tex]
[tex]\sf \rightarrow 138 = 138[/tex]
associate property as the following is rearranged inside the parentheses
D)
[tex]\rightarrow \sf 6.3 \ x \ 1 = 6.3[/tex]
This does not fall under any method or else multiplicative identity property.
Help picture below problem 16
Answer:
40
Step-by-step explanation:
A straight angle is basically just a straight line, and it equals 180 degrees. Angle FPG is a straight angle.
To find the measure of angle DPE, we have to add together the other angles in the straight angle (which would be Angle FPD and Angle EPG) and then subtract that from 180 (measure of a straight angle).
Let's add Angle FPD and Angle EPG.
105 + 35 = 140
Now, let's subtract that from 180.
180 - 140 = 40
So, the measure of Angle DPE is 40. I hope this helps! Have a lovely day! (i basically just copy-and-pasted my answer to problem 17 because it was the same answer as this lol)
If two chords are the same distance from the center of a circle, then they are ______.
Answer:
1 is the answer to have the distance same
Rhombus J K L M is shown. The length of J K is 2 x + 4 and the length of J M is 3 x.
What is the length of a side of rhombus JKLM?
4 units
8 units
12 units
16 units
Answer:
12 units
Step-by-step explanation:
Properties of Rhombus:
1. length of all sides are equal.
2. Diagonals bisect each other at right angles
As the length of all sides are equal,
JM = JK
3x = 2x + 4
Subtract 2x from both sides,
3x - 2x = 4
x = 4
JM = 3*4 = 12 units
Compared with the graph of the parent function,
which equation shows a vertical stretch by a factor
of 6, a shift of 7 units right, and a reflection over the
X-axis?
Step-by-step explanation:
as I don't see any equations or graphs here I can only answer in general :
f(x) is the patent function.
g(x) is the transformed function.
g(x) = -6f(x-7)
the "-" reflects the curve over the x-axis (what was positive is now negative and vice versa).
the factor 6 stretches the curve up and down by the factor 6 (everything is now 6 times larger or smaller).
and the argument "x-7" relates x (for the new function) with "x-7", meaning that now things are happening at x, that were originally happening at x-7, so they happen now "later" (more to the right on the x-axis) than before - hence a shift to the right.
Answer:
its D
Step-by-step explanation:
took the test :)
7*8/10 product lies between what numbers
Answer:
5 and 6.
Step-by-step explanation:
7*8 is 56. 56 divided by 10 is 5 6/10
Need help Please! Quick
Answer:
please see photo for details
120 feet is to 150 feet as 8 feet is to ten feet write the proportion HELP PLEASE!!! AND PLEASE SHOW HOW TO DO IT
Answer:
Step-by-step explanation:
120/150 = 0.8
8/10 = 0.8
8x15=120
10x15=150
The circumference of the base of a cone is 24 inches. The slant height of the cone is 20 inches.
What is the surface area of the cone? Express the answer in terms of .
240 square inches
384 square inches
480 square inches
624 square inches
The surface area of a cone with circumference base of 24π inches and slant height of 20 inches is 384π inches² in terms of π.
Surface area of a conesurface area = πr(r + l)
where
r = radiusl = slant heightTherefore,
l = 20 inches
24π = 2πr
r = 12
Therefore,
surface area = π(12)(12 + 20)
surface area = 12π(12 + 20)
surface area = 12π × 32
surface area = 384π inches²
learn more on surface area here: https://brainly.com/question/2847956
Answer:
B) 384 π square inches
Step-by-step explanation:
E2020
how many roots does y=x2-6x+9 have
Answer:
One root ; x = 3
Step-by-step explanation:
( a ± b )² = a² ± 2ab + b²
~~~~~~~~~
y = x² - 6x + 9
x² - 6x + 9 = x² - 2(x)(3) + 3² = ( x - 3 )²
( x - 3 )² = 0 ⇒ x - 3 = 0 ⇒ x = 3
-3/5m + 8 = 20
what is the answer of m
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: - \frac{ 3}{5} m + 8 = 20[/tex]
[tex]\qquad \sf \dashrightarrow \: - \frac{ 3}{5} m = 20 - 8[/tex]
[tex]\qquad \sf \dashrightarrow \: - \frac{ 3}{5} m =12[/tex]
[tex]\qquad \sf \dashrightarrow \: - \frac{ }{} m =12 \times \frac{5}{3} [/tex]
[tex]\qquad \sf \dashrightarrow \: - m = 4 \times 5[/tex]
[tex]\qquad \sf \dashrightarrow \:m = - 20[/tex]
➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖
Algebra: Right answer pls
Which statement about the graph of y = 4 (1.25)× is true?
The coordinates of the x-intercept are (4, 0)
The coordinates of the y- internet are (0, 4) (ʀɤɢʜʈ Åɴswɛɾ)
The equation of the asymptote is x = 4
The graph includes the point (0, 1.25)
Answer: B
Step-by-step explanation: