2x+3y=19 // 6x+2y=22
Answer:
(2, 5 )
Step-by-step explanation:
Given the 2 equations
2x + 3y = 19 → (1)
6x + 2y = 22 → (2)
Multiplying (1) by - 3 and adding to (2) will eliminate the x- term
- 6x - 9y = - 57 → (3)
Add (2) and (3) term by term to eliminate x
0 - 7y = - 35
- 7y = - 35 ( divide both sides by - 7 )
y = 5
Substitute y = 5 into either of the 2 equations and solve for x
Substituting into (1)
2x + 3(5) = 19
2x + 15 = 19 ( subtract 15 from both sides )
2x = 4 ( divide both sides by 2 )
x = 2
solution is (2, 5 )
The sum of two numbers is 71648.one of the number is 7 times the other.find the numbers
Answer
8956
explanation step by step
Answer: numbers are 8956 and 62692
Step-by-step explanation:
Let the numbers be x and 7x
ATQ
x + 7x = 71648
8x = 71648
x = 71648/8
x = 8956
Therefore the numbers are 8956 and 62692 respectively
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Determine the period.
Answer:
4
Step-by-step explanation:
The period is the length of one cycle.
By cycle, I mean the smallest piece that can be traced and copied over and over to form the whole graph. If you notice the graph starts at x=0 and the curve makes a complete cycle by x=4. The cycle starts over again at x=4 and ends at x=8. I hope you are seeing the graph looks exactly the same from x=0 to x=4 as x=4 to x=8.
The length of one cycle of this graph is 4.
The period of function is,
P = 4
Since, In order to find the period of a graph in general, first, find the period of the parent function, and divide that by the absolute value of the coefficient of the independent variable.
Here, Graph of function is shown.
Hence, The period of function is,
P = 4
Therefore, The period of function is,
P = 4
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HELP FAST PLEASE!!! NEED ANSWER IN LESS THAN 10 MINUTES!! WILL GIVE BRAINLIEST!!
1. Compute -2 to the power of -3 × -3 to the power of -2.
2. Compute 2^10 x 2^8 x 2^6 x 2^4 x 2^2 x 2^-1 x 2^-3 x 2^-5 x 2^-7 x 2x-9.
3. Compute 2^16 x 4^-8 x 8^4 x 16^-2
TYSM for your help!!
1. (-(2^(-3)))*(-(3^(-2.)))=0.01388888888
2. -294912
3. 16
Can someone please help me with writing a flowchart proof?
The two triangles are equivalent triangles
Flowchart proofs are organized with boxes and arrows.
The statements given are written in the box and the reason of that statement is written just below the box.
Every statement if flowchart proof complements other statement.
The correct answer is
∠AZ = ∠BX
The two triangles are equivalent triangles.
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Help me plz thank you
Answer:
1) Distance=Speed*time
90=(x+1)*(x)+(2x+5)(x-1)
90=x^2+x+2x^2-2x+5x-5
3x^2+4x-95=0
2) 3x^2+4x-95=0. Using quadratic formula, we get
x=(-4±sqrt(16-4*3*(-95)))/6, x=5 or - 19/5 but since x also represents time, it can't be negative.
3) Total time take she took for the journey is x+x-1=2x-1=2*5-1=9 hours
convierte los decimales a fracción:
a) 3, 1233333 =
b) 4, 3855555 =
c) 37, 22222 =
d) 16, 2929292929 =
e) 2, 33333333 =
(a) Let x = 3.12333…. Then 100x = 312.333… and 1000x = 3123.333…, so that
1000x - 100x = 3123.333… - 312.333…
==> 900x = 2811
==> x = 2811/900 = 937/300
(b) x = 4.38555… ==> 100x = 438.555… and 1000x = 4385.555…
==> 900x = 3947
==> x = 3947/900
(c) x = 37.222… ==> 10x = 372.222…
==> 9x = 335
==> x = 335/9
(d) x = 16.292929… ==> 100x = 1629.292929…
==> 99x = 1613
==> x = 1613/99
(e) x = 2.333… ==> 10x = 23.333…
==> 9x = 21
==> x = 21/9 = 7/3
2. For all real numbers x and y, (2x + 3y)² = ?
Answer:
Step-by-step explanation:
(a + b)² = a² + 2ab + b²
a = 2x ; b = 3y
(2x)²= 2x * 2x = 4x²
(3y)² =3y * 3y = 9y²
(2x + 3y)² = (2x)² + 2 *2x*3y + (3y)²
= 4x² + 12xy + 9y²
Does anyone know the answer
Answer:
It's False Because Hypotenuse will be the longest side of leg here
Round 96.1825899389 to 4 decimal places.
solve for the measure of y
Answer:
43°
Step-by-step explanation:
to calculate this angle you have to find the value of angle x because the two are equal since they originate from the same arc to find angle y,you subtract the sum of 90 and 47 by 180, because they form a triangle and the top part of that triangle is 90°( the angle at the circumference is half the angle at the center 180/2=90°)
90+47+x=180
x=180-137
x=43°
therefore y=43
I hope this helps
Find the Length of the missing side of the right Triangle using the Pythagorean Theorem. Round your answers to
the nearest tenth. Please show your work in the "Show your work" text box. Draw a Picture!
The size of a television screen is given by the length of the diagonal of
the screen. What size is a television screen that is 21.6 inches wide and
16.2 inches high?
Show Your Work
O 22.5 in
18.4 in
27 in
O 13.2 in
Answer:
27 inches
Step-by-step explanation:
We can use The Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
21.6 ^2 + 16.2^2 = c^2
466.56+262.44 = c^2
729 = c^2
Taking the square root of each side
sqrt(729) = sqrt(c^2)
27 = c
Identify the sample space of the probability experiment: shooting a free throw in basketball.
The sample space of the probability experiment: shooting a free throw in basketball. is [tex]n(X)=2[/tex] from the calculations below
Sample space:In probability theory, the sample space (also called sample description space of an experiment or random trial is the set of all possible outcomes of the experiment.
Let
The sample space for a player shooting single free throws be equal to X
Let Scored free throws be A
And missed free throws be B
Generally the possible outcomes is mathematically given as
[tex]X=(A,B)[/tex]
Therefore
In conclusion the Sample space of the probability experiment of shooting a free throw in basketball is
[tex]n(X)=2[/tex]
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Write the equation of the line that passes through the points (−4,1) and (−9,5). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Help plz
Step-by-step explanation:
gradient(m)=change in y/change in x
=5-1/-9-(-4)
=4/-9+4
=4/-5
equation now
y-y1=m(x-x1)
y-1=4/-5[x-(-4)]
y=4/-5(x+4)+1
y=-4/5x-16/5+1
y=-4/5x-21/5
Answer:
y = -4/5x - 11/5
Step-by-step explanation:
First, find the slope using the slope formula.
[tex]m=\frac{y_1-y_2}{x_1-x_2}\\\\m=\frac{1-5}{-4-(-9)}\\\\m=-\frac{4}{5}[/tex]
Then, use the point-slope formula and substitute the values for the variables. I'll use (-4, 1) in this instance.
[tex]y-y_1=m(x-x_1)\\\\y-1=-\frac{4}{5}(x+4)\\\\y-1=-\frac{4}{5}x-\frac{16}{5}\\\\y=-\frac{4}{5}x-\frac{11}{5}[/tex]
On another map, the distance between Saugerties and
Kingston is 2 inches. What would the distance from
Saugerties to Catskill be on this map?
Answer:
10miles
Step-by-step explanation:
Answer:
I have no clue what is going on wit dis g
I Need help!!!
There are 36 students on the
school's student council. A special homecoming dance committee is to be formed by
randomly selecting 8 students from student council. How many possible committees can be formed?
1,043,460
27,907,200
30,260,340
Answer:
this is your answer 30,260,340
What is the correct answer!
Answer:
The answer is B.
Step-by-step explanation:
Please let me know if you want an explanation for why this is the answer (comment on this). A lot of people don't actually read the explanations, so I wouldn't want to waste my time. However, if you would like it I would be more than happy to type one out for you. Thanks!
(w + 4)(w2 + 3 w-6)
find the product.
Answer:
6w+2
Step-by-step explanation:
Answer:
w^3 + 7w^2 + 6w - 24
Brainliest, please!
Step-by-step explanation:
(w + 4)(w^2 + 3w - 6)
w^3 + 3w^2 - 6w + 4w^2 + 12w - 24
w^3 + 7w^2 + 6w - 24
what's the volume of a rectangular prism if it has a length of 20 inches and a width of 12 inches and a height of 6 inches
Answer:
1440 in^3
Step-by-step explanation:
The formula for finding volume is l*h*w.
l*h*w is length multiplied my height multiplied my width. Lets use this formula to find the volume of the rectangular prism.
Here is the information we know about the rectangular prism:
the length is 20 inches
the height is 6 inches
the width is 12 inches
Lets put this information into the formula to find the volume of the rectangular prism. I will show the work in steps so it is easy to follow.
Step one: plug the given information into the formula.
l*h*w = 20*6*12
Step two: Solve the equation.
20*6*12 = 120*12 = 1440
And there you have it! Our final answer is 1440 in^3.
I hope this helps!
there are 3468 apples in a basket how many children can share them equally
Answer:
3468 children.
Step-by-step explanation:
One apple per person.
Almost done with this lesson! A little more help ASAP pls!!!
Answer:
10.8
Step-by-step explanation:
√(5-(-5))² + (8 -4)²
√10² + 4²
√100+16
√116 = 10.8
[tex]\\ \sf\longmapsto CD=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\\ \sf\longmapsto CD=\sqrt{(5+5)^2+(8-4)^2}[/tex]
[tex]\\ \sf\longmapsto CD=\sqrt{(10)^2+(4)^2}[/tex]
[tex]\\ \sf\longmapsto CD=\sqrt{100+16}[/tex]
[tex]\\ \sf\longmapsto CD=\sqrt{116}[/tex]
[tex]\\ \sf\longmapsto CD=10.4[/tex]
Geometry, please answer question ASAP
Answer:
length = 11 ft
breathe = 5 ft
perimeter of rectangle = lxb
= 11ft x 5ft
= 55 ft
the answer is 55 ft
Answer:
Perimeter of rectangle = 2(l+b)
=2(11+5)
=2x16=32ft
Simplify
1/3(1 - 1/4)*
Enter your answer , as a simplified fraction in the box
Answer:
1/4
Step-by-step explanation:
1/3(1 - 1/4)
Parentheses first
1/3 (4/4-1/4)
1/3 (3/4)
Rewritng
1/4 *3/3
1/4
Answer:
3/12 or 0,25
Step-by-step explanation:
D= -2
E = [1 2]
17. Multiply matrix D by matrix E.
A. 2
B. [
48]
5 101
C.-2-4
1 2
D.
5-2 1
4 2
Answer:
here's the answer to your question
One number is six times another number. Their difference is 35. Whàt are the two numbers?
Answer:
7 and 42
Step-by-step explanation:
The difference 35 is actually equivalent to 5 units if you draw it out into a model, thus 35 divide 5 is 7 and the other number is 7x6 which is 42
Find the volume of this object.
Use 3 for it.
Volume of a Cylinder
V= Tr2h
Volume of a Cone
V= Tr?
3
8 in
4 in
13 in
V~ [?]in3
We are required to find the volume of the object which comprises of a cylinder and a cone
The volume of the object is 108 in³
Volume of a cylinder = πr²h
π = 3
r = diameter / 2 = 4 in / 2 = 2 in
h = 8 in
Volume of a cylinder = πr²h
= 3 × (2 in)² × 8 in
= 3 × 4 in² × 8 in
= 96 in³
Volume of a cone = πr²h/3
= (3 × (2 in)² × 3 in) / 3
= (3 × 4 in² × 3 in) / 3
= 36 in³ / 3
= 12 in³
The volume of the object can be found by adding the volume of the cylinder and the volume of the cone
Total volume = Volume of a cylinder + Volume of a cone
= 96 in³ + 12 in³
= 108 in³
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Violet is playing a board game with her friends. She earns 78 points during the game, and she receives a game-end bonus for achieving her secret objective. With her bonus, Violet came in second place with 91 points. Let b be the number of points Violet earned for the game-end bonus. Write and solve an equation for b.
Answer:
13
Step-by-step explanation:
78 + b = 91 Equation: Subtract 78 from both sides.
b = 91 - 78
b = 13
You don't need her position in the game or the fact that 91 placed her second.
[2] (c) Another bag contains 15 red beads and 10 yellow beads. Ariana picks a bead at random, records its colour and replaces it in the bag. She then picks another bead at random. (1) Find the probability that she picks two red beads. [2] (ii) Find the probability that she does not pick two red beads. (0)
Answer:
(c)
Total number of beads:
15 + 10 = 25(i)
Probability of 2 red:
P(RR) = 15/25*15/25 = 9/25(ii)
Probability of no 2 red:
P(R'R') = 1 - 9/25 = 16/25A. Find x
B. Find the measure of angle b
C. Find the measure of angle c
Answer:
3, 50 and 70
Step-by-step explanation:
Using exterior angle property, we have 15x+5+22x+4=120, 37x+9=120. x=3
B=15x+5=50
C=22x+4=70
This polygon is a Quadrilateral (4 sided
2
figure). Based on the interior angle sum,
find the value of x.
80 degrees
to
60 degrees
xº
to
O 100 degrees
O 110 degrees
Answer:
Step-by-step explanation:
3x° + 60° = 360°
3x = 360 - 60
3x = 300
x° = 100°
