Explanation: I would use the substitution method for this system
because one of the variables, x, is already isolated in the first equation.
Since our first equation states that x = 12 - y, 12 - y can be substituted
in for x in the second equation which becomes 2(12 - y) + 3y = 29.
Now we can solve this equation by first distributing the 2
through the parentheses to get 24 - 2y + 3y = 29 and you
should be able to easily finish solving from here to get y = 5.
Now substitute a 5 back in for the first equation to get
x = 12 - (5) or x = 7 which means that our solution is (7, 5).
result of 5 and 75 with dividid by 3
Answer:
your answer is 30
Step-by-step explanation:
I hope this help
Uma maneira de realizar a operação 9972 - 9 de forma rápida e correta é calculando 1 000 * 994, que é igual a 994 000. A igualdade que justifica esse fato está expressa em:
a) (a + b)² = a² + b² + 2ab
//
b) a² - b² = (a + b)(a - b)
//
c) a² - b² = (a - b)²
//
d) (a - b)² = a² - 2ab + b²
//
e) a² - b² = 1 000(a + b)
Answer:
a)
Step-by-step explanation:
HELP PLEASE!!!
Find the length of AB.
А.53.74
B.26.05
C.96.95
D.84.79
Answer:
Step-by-step explanation:
Sin 61 = 47/X
(X=AB)
X = 53.73764119
The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. The correct option is A.
What is Sine (Sinθ)?The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. It is given as,
Sin(θ) = Perpendicular/Hypotenuse
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The hypotenuse is the longest side of the triangle.
In the given triangle, for ∠B we can write the perpendicular is 47, and the hypotenuse is AB.
Using the Sine ratio for the angle B, we can writte,
Sin(∠B) = AC/AB
Sin(61°) = 47/AB
AB = 53.74 units
Hence, the correct option is A.
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Which table of ordered pairs represents a proportional relationship?
plss help!
Instructions: Find the measure of the indicated angle to the nearest degree.
4
?
16
Answer:
Sinx=4/16=1/4
x=Sin^-1(1/4)
? =14.47°
OAmalOHopeO
The measure of the unknown angle is approximately 14°.
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjacent/hypotenuse and
tan = opposite/adjacent.
From, The given diagram, With respect to the reference unknown angle,
the opposite side is 4 units and the hypotenuse is 16 units.
We know, sin = opposite/hypotenuse.
Therefore, sinФ = 4/16.
sinФ = 1/4.
Ф = sin⁻¹(1/4).
Ф = 14°.
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I NEED HELP PLEASE.....................................
Answer:
No
Step-by-step explanation:
The Rectangle A is occupied by 5 unit Squares on its length and 3 unit Squares on its width .....and we know one unit square in a grid is equal to 1 cm
hence.......A=L×W
Area = 5 unit Squares ×3 Unit Squares
Area of A= 15 unit Squares .
The Square B is occupied by 3 unit Square on each side thus.....Area =S×S
Area of B = 3 unit Squares × 3 Unit Squares
Area of B = 9 unit Squares.
Hence the answer is no ....9 isn't the double of 15
Which of the following is the discriminant of the polynomial below?
X2 +6X+8
A. 8
B. 6
C4
D. 26
can y’all help me out
Answer:
B: y = {-13, -5, 3, 15}
Step-by-step explanation:
Let's plug each x-value into this equation: f(x) = 4x + 3
Domain: {-4, -2, 0, 3}
First, let's start with -4:
f(x) = 4x + 3
y = 4x + 3
y = 4(-4) + 3
y = -16 + 3
y = -13
Next, let's do -2:
f(x) = 4x + 3
y = 4x + 3
y = 4(-2) + 3
y = -8 + 3
y = -5
After that, let's do 0:
f(x) = 4x + 3
y = 4x + 3
y = 4(0) + 3
y = 0 + 3
y = 3
Finally, let's do 3:
f(x) = 4x + 3
y = 4x + 3
y = 4(3) + 3
y = 12 + 3
y = 15
Now that we have all our y-values, let's set up the range:
Range (y-values): {-13, -5, 3, 15}
As you can see, the only answer choice that includes this range is B;
{-13, -5, 3, 15}.
5.
Krishna got on an elevator on the 12" floor and went up 3 floors. If he then went down 8 floors,
what floor is krishna now on?
Answer:
Krishna is at the 7th floor
Step-by-step explanation:
Given
[tex]Start = 12[/tex]
[tex]Up = 3[/tex]
[tex]Down = 8[/tex]
Required
The current floor
This is calculated as:
[tex]Floor = Start + Up - Down[/tex]
[tex]Floor = 12 + 3 - 8[/tex]
[tex]Floor = 7[/tex]
Aman age is 2 times of his son's age after 5 years sum of their age will be 70 find their present age
Answer:
aman's son's age = 20
aman's age = 40
Step-by-step explanation:
let aman's son's age be x
aman's age = 2x
2x+5+x+5 = 70
3x+10=70
3x = 60
x = 20
2x = 40
What’s the sum in the diagram, a + b + c =
Answer:
Answer is 360 degrees
Step-by-step explanation:
The sum of the exterior angles of a triangle is 360°.
Answer: 360 degrees
Step-by-step explanation:
You know that in a triangle is 180 degrees. In the diagram, the figure shows a, b, and c, outside of the triangle. Also, the a, b, and c makes a circle. The circle is 360 degrees, so when you add a, b, and c that will equal 360.
Find the missing segment in the image below
Answer:
? = 42
Step-by-step explanation:
24/8 = ?/14
cross mult
24/8 = x/14
336=8x
x = 42
For the following sequence determine the common difference (if it is an arithmetic sequence) or the common ratio (if it is a geometric sequence).
-7x + 8, -12x + 12, -17x + 16, . . .
Possible anwers:
-5x + 4
5x + 4
-5x - 4
5x-4
Answer:
The first one is the answer.
Step-by-step explanation:
It's an arithmetic sequence. It has a common difference.
d = an - a_n-1
an = -12x + 12
a_n-1 = - 7x + 8
d = -12x + 12 - (-7x + 8)
d = -12x + 12 + 7x - 8
d = -5x + 4
Try it. Let's try for the third term
-12x + 12 - 5x + 4
- 17x + 15 which is exactly what the third term is.
THE LOGO SHOWN BELOW HAS A TOTAL AREA OF 125cm² AND THE SQUARE HAS SIDE LENGTH 5cm.CALCULATR THE WIDTH OF THE LOGO.
Answer:
Please show an image
Copy and complete the table.
Answer:
See pic below.
Step-by-step explanation:
for f(x)= -4x + 5, find f(x) when x = -2.
Answer:
13
Step-by-step explanation:
f(x)= -4x + 5
Let x = -2
f(-2) = -4(-2) +5
= 8+5
= 13
Step-by-step explanation:
x = - 2
f ( x ) = - 4x + 5
f ( - 2 )
= - 4 ( - 2 ) + 5
= 8 + 5
= 13
If patient's current ledger balance is $238.00, the patient's fees for today are $117 and the patient paid $100.00 today, what is the patient's new balance:
Answer:
$138
but if the 117 was paid it would be $21
Step-by-step explanation:
The patient's new balance is $255
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Given;
Patient's current ledger balance = $238.00
The patient's fees for today = $117
The patient paid $100.00 today
Now, balance including todays pay= $238.00+$117
=$355
Patient payed 100 so,
=355-100
=255
Therefore, the answer of this algebraic problem will be $255
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Can anyone help me with this?
8.6
Answer:
Solution given:
[tex]\bold{\sqrt{74}=8.60232526704≈8.6}[/tex]
Answer:
[tex]8.6[/tex]
Step-by-step explanation:
Step 1: Find the approximate value of [tex]\sqrt{74}[/tex]
[tex]\sqrt{74}[/tex]
[tex]\sqrt{74}[/tex] ≈ [tex]8.6[/tex]
Answer: [tex]8.6[/tex]
100 divided by 3.2 Thank u
Answer:
31.25
Step-by-step explanation:
125/4
= 31.25
20 laborers can complete the construction of building in 24 days .In how many days
would 16 laborers complete the construction?
7. In a survey of 468 tourists who visited Nepal during visit Nepal 2020 it was found that
275 visited Rara ,300 visited Bardiya and 56 tourist do not visit both the place .
(i) How many tourists were there who visited Rara as well as Bardiya ?
(ii) Represent the above information in venn diagram.
8. Two numbers are in the ratio 7:5 .When 10 is subtracted from each term their ratio
becomes 3:2.Find the numbers.
Answer:
20=24
8. =? Cross multply
Tìm nghiệm của đa thức sau:2x mũ 2-5x-3
7
Setting 3 equal to which ratio would result in a valid proportion?
9
49
18
42
织但
Answer:
000
Step-by-step explanation:
000
Can anyone help me with this it’s question 2 help please
Answer: 2x³ + 2x² + 36
Working:
= (2x + 6) × (x² - 2x + 6)
= 2x³ - 4x² + 12x + 6x² - 12x + 36
= 2x³ -4x² + 6x² +12x -12x +36
= 2x³ + 2x² + 36
Answered by Gauthmath must click thanks and mark brainliest
Please help me with this
Help: A marching band is rehearsing. 4/5 of the marching band members play percussion instruments. 4/6 of the percussionists play the snare drum. What fraction of all the band members play the snare drum.
Answer: 1.2/5 Marching band members play the snare drum.
Step-by-step explanation:
4/5 Band Members Play Percussion Instruments. (80%)
4/6 Play The Snare Drum. (66% of the 80%)
1/5 Band Members Do NOT play percussion. (20%)
80 - 66 = 14%
14 + 20 = 24%
1/5 = 20%
1.5/5 = 30%
1.2/5 = 24%
1.2/5 Marching band members play the snare drum.
please help me out :)
Answer:
534.0707511
Step-by-step explanation:
Answer:
534.07
Step-by-step explanation:
2 π r h +2 π r² =2•π•5•12 + 2•π•5² ≈ 534.0
I hope this will help you if not then sorry i have tried :)An angle measures 89.8° more than the measure of its complementary angle. What is the measure of each angle?
Complementary angles always are 90 degrees when added to each other, so:
x = angle 1
x + 89.8 = angle 2
x + x + 89.8 = 90
2x = 90 - 89.8
2x = 0.2
x = 0.1
angle 1 = 0.1 degrees
angle 2 = 0.1 + 89.8 = 89.9 degrees
if you want to check, just sum one to the other and see if they equal 90, like this: 89.9 + 0.1 = 90
Use the diagram. Solve for p.
Answer:
A the first one.
Step-by-step explanation:
Wy = 28
WX = 12
XY = WY - WZ
XY = 28 - 12
XY = 16
4P = 16
P = 16/4
P = 4
What is the value of l n e Superscript 4
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
The formula for the lateral surface area of a cone—that’s the surface that isn’t the base—is π × r × sqrt(h² + r²); h is the height of the cone and r is the radius of its base. A circular #2 pencil is 6 mm in diameter, and a pencil sharpener creates a cone-shaped end that is 20 mm in height. Find the surface area of the sharpened part of the pencil.
