Answer:
Step-by-step explanation:
x
+
2
y
=
6
Subtract
x
from both sides of the equation.
2
y
=
6
−
x
Divide each term by
2
and simplify.
Tap for more steps...
y
=
3
−
x
2
Answer:
x=2y-6
Step-by-step explanation:
To solve for x, we need to have one more equation, as there are two variables; x and y. But, we can still get it to this point.
First, we need to get x on to one side.
x=-2y-6
That is all we can do from here.
If you provide another corresponding equation, we can solve for x.
Hope this provides some guidance!!
~gloriouspurpose~
Tony is opening a pizza restaurant and needs to determine the amounts of ingredients he will use in his pizzas. He wants the amount of dough for a medium pizza to be 3/2 times the amount of dough for a small pizza. And, he wants the amount of dough for a large pizza to be 5/2 times the amount of dough for a small pizza. Also, the amount of dough used for one large pizza should to be equal to the amount of dough used for one medium and one small pizza. So, he needs to determine how much dough to use for a small pizza. Use this information to complete the following tasks.
Answer:
If the amount of dough for a small pizza is S, for a large pizza is L and for a medium pizza is M, we have the equations:
M = (3/2)*S
L = (5/2)*S
L = M + S
First, we can convine the second and third equation and get:
(5/2)*S = M + S
and now we can replace M by the first equation:
(5/2)S = (3/2)*S + S = 5/2 S
so we have a trivial equation, S can be any number, this means that the system of equation is not well constructed.
For example, if S = 1Kg then:
M = (3/2)kg
L = (5/2)kg = (3/2)kg + 1 kg = 5/2kg
Answer:
The equation for a small pizza is, 3/2s + s = 5/2s.
Next, to combine like terms the equation is, 5/2s = 5/2s.
After that, for opposite operations you write, 5/2s - 5/2s = 0.
When you combine the like terms for the last equation, you come up with,
0 = 0.
The small sized pizza does not have a specific size and is no longer part of the equation. Its' size can be anything, and the other sized pizzas will equal their equation towards the small pizza, still representing their same value.
Step-by-step explanation:
cheese + sauce + dough + lots of meat + fire = happiness/pizza
(HopE ThIs HeLPs)
Answer this as quick as possible please! (NO EXPLANATION REQUIRED!) <3
Answer: 9 Apples
Step-by-step explanation:
Given the following :
Total number of bags = 12
Mean of the distribution(m) = 8
Number of apples (x):
6 - - - - 7 - - - - 8 - - - - 9 - - - - 10
Frequency (f) :
1 - - - - 4 - - - - 2 - - - - 3 - - - - 1
Therefore :
Let number of apples in the 12th bag = y
Frequency of 12th bag : (12 - 11) = 1
Mean of distribution(m) :
Sum of ( f * x) / sum of f
Sum of (f * x) = (6*1)+(7*4)+(8*2)+(9*3)+(10*1)+(y*1)
Sum of (f * x) = (6+28+16+27+10+y) = 87 + y
Sum of f = 12
From :
m = Sum of ( f * x) / sum of f
8 = (87 + y) / 12
87 + y = 12 * 8
87 + y = 96
y = 96 - 87
y = 9
Number of apples in 12th bag is 9 apples
Triangle J K L is shown. Angle J K L is 120 degrees and angle K L J is 40 degrees. The length of K L is 2 and the length of J L is k. 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 value of k? Use the law of sines to find the answer.
Answer:
[tex]k \approx 5$ units[/tex]
Step-by-step explanation:
In Triangle JKL
[tex]\angle K=120^\circ\\\angle L=40^\circ\\KL=2\\JL=k[/tex]
We want to determine the approximate value of k using the law of sines.
[tex]\angle J+\angle K+\angle L=180^\circ $ (Sum of angles in a \triangle)\\\angle J+120^\circ+40^\circ=180^\circ \\\angle J=180^\circ-(120^\circ+40^\circ)=20^\circ[/tex]
Using Law of Sines
[tex]\dfrac{k}{\sin K} =\dfrac{j}{\sin J} \\\dfrac{k}{\sin 120} =\dfrac{2}{\sin 20} \\k=\sin 120 \times \dfrac{2}{\sin 20}\\k=5.06\\k \approx 5$ units[/tex]
Answer:
5.1
Step-by-step explanation:
Right on EDU
** BRAINLIEST IF ANSWERED**
The area of the regular hexagon is 50 in sq. What is the measure of the apothem? *
10 in
2 in
25 in
5 in
Answer:
Area of apothem is 8.33 inches
Step-by-step explanation:
Mathematically,
Area of hexagon = 1/2 * apothem * number of sides * length of side
Area = 50 in square
apothem = ?
number of sides = 6
Length of side = 2 inches
Substituting the values, we have;
50 = 1/2 * A * 6 * 2
50 = 6A
A = 50/6
A = 8.33 inches
1)Find the third side of a triangle when two sides of the triangle is 4 and the included angle measuring 89 degrees
2)you were asked by your teacher to add up the numbers 1 to 100. Please show all work
3)determine if the foci for the following ellipse are correct and explain your reasoning 7x2 + 8y2 = 30; foci: (sqrt11, 0), (-sqrt11, 0)
Answer:
1) The length of the third side is 5.607 units
2) The sum of the numbers from 1 to 100 is 5050
3) For the x-axis, foci: ((√15/28), 0) and (-(√15/28), 0)
For the y-axis, foci: (0, (√15/28)) and (0, -(√15/28))
Step-by-step explanation:
1) When two sides of the triangle are equal to 4 then the triangle is an isosceles triangle
Given that the included angle (the angle between the two sides) is 89°, we have;
The other two base angles are equal to {180 - 89)/2 = 91/2 = 45.5°
Therefore, we have from cosine rule;
a² = b² + c² - 2·b·c·cos(A)
We note that the angle opposite the third side is the included angle 89°, therefore, when we put a as the third side in the above equation, we have;
a² = 4² + 4² - 2×4×4×cos(89°)
a² = 31.44
a = 5.607
The length of the third side is 5.607 units
2) The numbers 1 to 100 form an arithmetic series with the first term, a = 1 and the common difference, d = 1 with the number of terms n = 100
The sum of an arithmetic progression, Sₙ, is given as follows;
[tex]S_n = \dfrac{n}{2}\cdot (2 \cdot a + (n - 1) d)[/tex]
Therefore, by plugging in the values, we have;
Sₙ = 100/2*(2*1 + (100 - 1)*1) = 100/2*(101) = 5050
The sum of the numbers from 1 to 100 is 5050
3) The foci of an ellipse 7·x² + 8·y² = 30 is found as follows;
Dividing both sides of the equation by 30 gives;
7/30·x² + 8/30·y² = 30/30
7/30·x² + 8/30·y² = 30/30
7/30·x² + 4/15·y² = 1
Which is of the form;
x²/a² + y²/b² = 1
For the x-axis we have
c² = a² - b²
c² = 30/7 - 15/4 = 15/28
h = 0, k = 0
Foci: ((√15/28), 0) and (-(√15/28), 0)
For the y-axis, we have;
x²/b² + y²/a² = 1
The foci are then (0, (√15/28)) and (0, -(√15/28)).
Jake’s Cameras purchased a digital camera at a wholesale cost of $80. They marked up the price 50 percent above the wholesale cost to use as their selling price. After every month that the camera didn’t sell, the store reduced the selling price by 25 percent. After how many monthly price reductions did the price dip below the wholesale cost?
Answer:
2 months
Step-by-step explanation:
$80 x 0.5 = $40
$80 + $40 = $120
$120 * 0.25 = $30
1st month - $120-$30 = $90
2nd month - $90-$22.5 = $67.5
Answer:
AFTER 2 MONTHS
Step-by-step explanation:
Please help ASAP. Plz answer top question thanks so much. Your help is much appreciated.
Answer:
It 7 hours and 5 minutes to complete the race because it would be 8 times 50 which equals 400 and 400 plus 250 which equals 650 and 650 divided by 60 is 7.5 which is 7 hours and 5 minutes I believe so 7.5 is the answer
Hope it helps :D
A school has 300 eighth-grade students and 200 ninth-grade students. The secretary randomly selects 12 eighth-grade students and 8 ninth-grade students to obtain a sample of size 20. What kind of sampling is this?
Simple random sampling
Stratified random sampling
Systematic sampling
Convenience sampling
Answer:
stratified random sampling
Step-by-step explanation:
PLZ HELP!!! BRAINLIEST AND POINTS!!!
The answer is for this question is c
2(3x+2)+2(2x-1)
=10x+2
This is a polynomial
So the answer is c
How are ΔABC and ΔADE related?
Answer:
They are congruent
Step-by-step explanation:
the number 792 and 990, written as the product of their prime factors are 792 = 23 x 32 x 11 and 990 = 2 x 9 x 5 x 1. Hence, find the greatest whole number that can divide both 792 and 990 exactly.
Answer:
198
Step-by-step explanation:
VERY MAD NOONE WILL ANSWER ME
Answer: Only C
Step-by-step explanation:
Equation C simplified to 0 = 0, meaning x has no effect on the equation and cancels out. Thus, it can be any value.
what is the perimeter of P:(2,2) Q:(6,2) R:(6,5) S:(2,5)
Answer: 14
Step-by-step explanation:
P(6)- Q(2) = 4
Q(5) - R(2) = 3
R(6) - S(2) = 4
S(5) - P(2) = 3
4 + 3 + 4 + 3 = 14
Brainliest is appericiated!
Answer:
Perimeter = 14
Step-by-step explanation:
to find the perimeter first find the distance between the two points :
d=√((x2-x1)²+(y2-y1)²)
PQ:(2,2)(6,2)
d=√(6-2)^2+(2-2)^2
= √16=4
PQ=4
RS: (6,5),(2,5)
d=√(6-2)^2+(5-5)^2
d=4
RS=4
QR:(6,2),(6,5)
QR=3
SP(2,5),(2,2)
SP=3
perimeter=2length+2width
P=2l+2w
p=2(4)+2(3)
p=8+6=14
The coordinates of the vertices of a polygon are shown below. D(–4, 5), E(–1, 5), F(1, 2), and G(–1, –1) What type of polygon is this figure? heptagon hexagon octagon quadrilateral
Step-by-step explanation:
Since the polygon has four vertices (D,E,F and G), it is a quadrilateral (4 vertices).
Answer:quadrilateral
Step-by-step explanation:
It has four points, so it has four sides which makes it a quadrilateral.
what is the standard deviation of {0, 3, 1, 1, 0, 5, 1, 0, 3, 0},
Answer:
1.7
Step-by-step explanation:
Personnel selection. Suppose that 6 female and 6 male applicants have been successfully screened for 5 positions. If the 5 positions are filled at random from the 12 finalists, what is the probability of selecting (A) 3 females and 2 males? (B) 4 females and 1 male? (C) 5 females? (D) At least 4 females?
Answer:
The answer is below
Step-by-step explanation:
The possible ways of choosing r items from a total of n item is given as C(n,r) = [tex]\frac{n!}{(n-r)!r!}[/tex]
Suppose that 6 female and 6 male applicants have been successfully screened for 5 positions.
Since they are 12 finalists and only 5 positions, the total number of possible outcomes is:
[tex]Total\ number\ of \ outcome (n(s))=C(12,5)=\frac{12!}{(12-5)!5!} =792[/tex]
A) 3 females and 2 males
The possible ways of choosing 3 females and 2 males is given as:
[tex]n(e)=C(6,3)*C(6,2) = \frac{6!}{(6-3)!3!}* \frac{6!}{(6-2)!2!}=20*15=300[/tex]
probability of selecting 3 females and 2 males P(E) = [tex]\frac{n(e)}{n(s)}=\frac{300}{792}=0.379[/tex]
B) 4 females and 1 males
The possible ways of choosing 4 females and 1 males is given as:
[tex]n(e)=C(6,4)*C(6,1) = \frac{6!}{(6-4)!4!}* \frac{6!}{(6-1)!1!}=15*6=90[/tex]
probability of selecting 4 females and 1 males P(E) = [tex]\frac{n(e)}{n(s)}=\frac{90}{792}=0.1136[/tex]
C) 5 females
The possible ways of choosing 5 females is given as:
[tex]n(f)=C(6,5) = \frac{6!}{(6-5)!5!}=6[/tex]
probability of selecting 5 females = [tex]\frac{n(f)}{n(s)}=\frac{6}{792}[/tex]
(D) At least 4 females
This can be done by choosing 4 females out of 6 females i.e. C(6,4) , 5 females out of 6 females i.e C(6,5) and 1 male out of six male i.e (6,1)
The possible ways of choosing atleast 4 females is given as:
[tex]n(h)=C(6,5)*C(6,4)*C(6,1)= \frac{6!}{(6-5)!5!}* \frac{6!}{(6-4)!4!}* \frac{6!}{(6-1)!1!}=6*15*6=540[/tex]
probability of selecting atleast 4 females = [tex]\frac{n(h)}{n(s)}=\frac{540}{792}[/tex]
Yo tenía $ 2.00. Mi mamá me dio $ 10.00. Mi papá me dio $ 30.00. Mi tía y mi tío me dieron $ 100.00. Yo tenía otros $ 5.00. Cuánto tenía? La respuesta correcta será eliminada. Gané contra: Vero verito
Answer:
$147
Step-by-step explanation:
$2.00+$10.00+$30.00+$100.00+$5.00
=$147
El dinero total que tenía será de $ 147.00
Dado lo siguiente
La cantidad tenía inicialmente = $ 2.00
La cantidad dada por mamá = $ 10.00
La cantidad recibida de papá = $ 30.00
La cantidad recibida del tío y la tía = $ 100.00
Si tuviera otros $ 5,00
La cantidad total que tenía será la suma de todo el dinero que tenía y los recaudados como se muestra:
Dinero total que tenía = $ 2,00 + $ 10,00 + $ 30,00 + $ 100,00 + $ 5,00
Dinero total que tenía = $ 147.00
Por lo tanto, el dinero total que tenía será de $ 147.00.
Obtenga más información aquí: https://brainly.com/question/22309443
What’s an constant in numbers
Answer:
Always the same variable.
Step-by-step explanation:
When the question says "x is always constant", it means that the x variable does not change, and it is always the same number.
Answer:
Step-by-step explanation:
In Algebra, a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number. Example: in "x + 5 = 9", 5 and 9 are constants.
It would take an hour for plane A to meet plane B. If the distance between them will be 200 miles in 45 minutes, how far are they now?
Answer: 125 miles
if you do the math you will get the same answer.
Answer:
800 miles
Step-by-step explanation:
42. Carmen spends 5 minutes, correct to the nearest minute, preparing one meal. She spends a total time
of T minutes preparing 30 meals. Between what limits does lie?
[2]
Answer:
4.5 < T < 5.5
Step-by-step explanation:
Nearest 5 minutes could be 4.5 to 5.49
The computation of the limits in between is shown below:
Now Multiply these numbers by 30
4.5 × 30 = 135
5.4 × 30 = 162
5.5 × 30 = 165
We can easily round 5.5 would to 6, since we cannot use 5.5.
Therefore
135 < T < 162
Therefore If the correct answer is 135 < T < 165
So it must be 4.5 < T < 5.5
Create two equations, one that will model a linear relation and one that will not (e.g., y = -3x +2, y = 4x2 -7). Describe the ways by which you could determine whether it is a linear relation. Include calculations, graphs, tables of values and anything else you feel will support your argument.
Answer:
linear: y = x + 1
non-linear: y = x² + 1
Step-by-step explanation:
In a linear relationship, from one pair (x1,y1) to other one (x2,y2) that satisfies the equation, there is a constant k, so that k = (y2 - y1)/(x2 - x1).
Equation: y = x + 1
Computing some points as an example:
x | y
0 | 1
1 | 2
2 | 3
3 | 4
(2-1)/(1-0) = (3-2)/(2-1) = (4-3)/(3-2) = 1. Therefore, the equation is linear.
Equation: y = x² + 1
Computing some points as an example:
x | y
0 | 1
1 | 2
2 | 5
3 | 10
(2-1)/(1-0) ≠ (5-2)/(2-1) ≠ (10-5)/(3-2). Therefore, the equation is not linear.
The lengths of the sides of a triangle are in the ratio 3:4:5. Find the lengths of the sides of this triangle if its perimeter is 96 cm.
Answer: 16 one side 32 second side 48 third side
Step-by-step explanation:
16;32;48
3;4;5
Answer:
24, 32, 40
Step-by-step explanation:
We know that the ratio of the sides is 3:4:5, and that total is 96.
First I tested out some numbers by multiplying them by 3, 4, and 5
Eventually I got to 8;
8×3:8×4:8×5 --> 24:32:40 --> 3:4:5
24+32+40=96
Meaning, the sides were 24, 32, and 40
Hope this helps, and good luck!
Let ƒ(x) = x^2 + 2x and g(x) = 2x. Evaluate the composition (ƒ ∘ g)(2).
Answer:
The answer is option D.
Step-by-step explanation:
f(x) = x² + 2x
g(x) = 2x
To find (ƒ ∘ g)(2) first find (ƒ ∘ g)
To find (ƒ ∘ g) wherever you see x in f(x) replace it with g(x)
That's
(ƒ ∘ g) = (2x)² + 2(2x)
= 4x² + 4x
Substitute 2 into the expression
That's
(ƒ ∘ g)(2) = 4(2)² + 4(2)
= 4(4) + 8
= 16 + 8
= 24
Hope this helps you.
Antonio invests 3000 at .10 interest compounded semianually for 12 years. Use the compound interest formula to calculate the compound amount for his investment
Answer:
A=9675.299
Step-by-step explanation:
A=p(1+r)^t
A compound amount
P is the principle amount invested
r : rate ( semiannually is 0.5 )
t=years ( semiannually 12*2=24)
A=3000(1+0.10/2)^24
A=9675.299
Can someone please help me please I really need help please help
Answer:
K'(4, -4)L'(8, -4)M'(8, 8)N'(4, 8)Step-by-step explanation:
Dilation centered at the origin multiplies every coordinate value by the scale factor.
K(1, -1) ⇒ K' = 4(1, -1) = (4, -4)
L(2, -1) ⇒ L' = 4(2, -1) = (8, -4)
M(2, 2) ⇒ M' = 4(2, 2) = (8, 8)
N(1, 2) ⇒ N' = 4(1, 2) = (4, 8)
If an apple has a mass of 25 kg and a momentum of 50 kg-m/s
south, what is its velocity?
O 5 m/s south
O 125 m/s north
0 0.2 m/s south
2 m/s south
Answer:
2m/s south
Step-by-step explanation:
p = mv
Where p is the momentum, m is the mass, while v is the velocity.
Given that
m = 25kg
v = ?
p = 50kgm/s
Substituting the values into the formula.
50kgm/s = 25×v
50kgm/s = 25v
Divide both sides by 25
v = 50/25
v = 2m/s
From the option list, the answer is
2m/s south
The polynomial equation x cubed + x squared = negative 9 x minus 9 has complex roots plus-or-minus 3 i. What is the other root? Use a graphing calculator and a system of equations.
Answer:
-1,3i,-3i
Step-by-step explanation:
X^3+x^2=-9x-9
x^3+x^2+9x+9=0
x^2(x+1)+9(x+1)=0 factorize by taking x+1 common factor
(x+1)(x^2+9)=0
x+1=0 then x=-1
(x^2+9)=0 then x=+ 0r - 3i
Answer: -1 is the correct answer
Step-by-step explanation:
Hello does anybody know what the answer to this question is : 32² x 4 Will give brainliest :)
Answer:
4096
Step-by-step explanation:
used a calculator but u always do indicies first due to bidmas
Answer:
4096
Step-by-step explanation:
The little two on top of the 32 means squared or that we need to multiply 32 by itself.
So 32*32 equals 1024
Then we multiply it by 4 to give us 4096.
plz help !! write two real world situations that you can model using the exponential function f(x)=2 to the power of x
Answer:
Two real world situations are shown below.
Step-by-step explanation:
Initial population of a certain bacteria is 1 thousand and the population doubles in each hour. So, population of bacteria (in thousands) after x hours is
[tex]f(x)=1(2)^x[/tex]
[tex]f(x)=(2)^x[/tex]
A person invests 1 lakh rupees in shares and the amount is twice at the end of each year. So, total amount (in lakhs) after x years is
[tex]f(x)=1(2)^x[/tex]
[tex]f(x)=(2)^x[/tex]
BRAINLIEST! HELP ASAP MATH PLSSS
Answer: The answer would be the second one.
Step-by-step explanation:
It is hard to explain but, I made and equation that would go with the problem which would be 2 points for every goal plus the free goals for every goal. (2g+f) and in then end it should all equal 15 so the equation so far would be 2g+f =15. This then leave you with three answers left. then I had plugged in a random number to solve it. g and f exacly should be the same number because for every goal you get a free point so if you get one goal then one extra point, if three goals then three extra points. so if you plug in 5 then 2 times 5 plus 5 is 15. The similarities between g and f is if you subtract them it is always going to be zero. Which makes the second answer correct for this problem.