Answer:
x = 4
Step-by-step explanation:
2x − y = 11 ⇒ -y = - 2x +11 ⇒ y = 2x - 11
x + 3y = -5
x + 3(2x - 11) = -5
x + 6x - 33 = -5
+33 +33
7x = 28
÷7 ÷7
x = 4
The solution of x in the system of linear equations is x = 4
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
2x - y = 11 be equation (1)
x + 3y = -5 be equation (2)
Multiply equation (1) by 3 , we get
6x - 3y = 33 be equation (3)
Adding equation (2) from equation , we get
7x = 28
Divide by 7 on both sides , we get
x = 4
Hence , the equation is solved and x = 4
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please help I'll give brainliest
Alice is going to invest some money for 5 years.
She can choose from two options:
Investment A: 2.7% compound interest per annum
Investment B: 2.8% simple interest per annum
Which investment should Alice choose
Answer:
Option AStep-by-step explanation:
Let the amount be P
Compound interest:
P*(1 + 0.027)^5 = P*1.1425 roundedSimple interest:
P*(1 + 0.028*5) = P*1.14Alice should choose compound interest, Option A
Florance made an apple pie, she used 7/8 of a tablespoon of cinnamon and 3/4 of a tablespoon of nutmeg
Answer:
1 5/8
Step-by-step explanation:
Write an equation of the line that passes through the given points.
(2,6) (-4,-2)
Answer:
y = 8/6x + 10/3
Step-by-step explanation:
You find the slope (m) first which is
Change of y over change of x
(6) - (-2) over (2)- (-4)
8/6 = m
Then you plug it into the equation y = mx + b
y = (8/6)x + b
Now you pick any of the set of points to plug in for x and y to solve for b
(6) = (8/6)(2) + b
6 = 8/3 + b
b = 10/3
Then plug into the equation for just m and b to get the equation of the line that passes thru both sets of points.
y = 8/6x + 10/3
The wildflowers began blooming by my house at the beginning of March. The first week there were 88 blooms. After week two, there were 176 flowers in bloom. If the flowers continue to bloom at the same rate each week, how many flowers will there be after 6 weeks?
Answer:528
Step-by-step explanation:
This one is just like the other one but different numbers. if you add 88 and 88 you get 176 so that means 88 blooms each week soooooo if you multiply 88 x 6 you would get 528
cups of water fill 4 identical water bottles. How many cups fill each bottle?
Answer:
.8 or 4/5ths cup
Step-by-step explanation:
divide number of bottles by cups
4 1/2 is 4.5
5 5/8 is 5.625
4.5/5.625 = .8 (or 4/5ths)
10 builders can build a house in 20 days. How many builders
will you need build the house in 10 days?
Answer:
20 builders
Step-by-step explanation:
Answer: 20 builders.
Step-by-step explanation: For 10 builders to build a house in 20 days, the ratio is 1:2. For builders to build a house in 10 days, the ratio is x:10. You then cross multiply 1:2 and x:10. Then x=20 so 20 builders.
help im confused!! i need to find the x
Can someone help me on 2/3-3/8 show work
Answer:
It is 7/24
Step-by-step explanation:
So first you want a common denominator so we have to find the least common multiple of 3 and 8, which is 24.
Next you have to multiply the same to the numerator, I usually go by the phrase whatever you do to the bottom you do to the top. So 8 times 2 is 16 and 3 times 3 is nine.
Everything changed should be 16/24-9/24
then we do 16-9 is 7 and you never subtract the denominators so 2/3-3/8 is 7/24
A regular octagonal pyramid. Each side of the base is 6 cm long. it has a height of 10cm. Find the surface area of the pyramid
9514 1404 393
Answer:
470.16 cm²
Step-by-step explanation:
The apothem of the base is used for two purposes: to find the area of the base, and to find the slant height of each face.
The apothem of the base for side length s is ...
s/2 = a·tan(π/8)
a = s/(2·tan(π/8)) ≈ 7.24 cm
The slant height of a triangular face is found using the Pythagorean theorem. The apothem of the base and the height are legs of the right triangle whose hypotenuse is the slant height. For slant height x, we have ...
x² = 10² + a² = 100 +52.46
x ≈ √152.46 ≈ 12.35
__
The area of the 8 triangular faces will be ...
A = 1/2Px . . . . where P is the perimeter of the pyramid
The area of the base will be ...
A = 1/2Pa
So, the total surface area is ...
A = 1/2P(a + x) = (1/2)(8)(6 cm)(7.24 +12.35 cm) ≈ 470.16 cm²
The answer is 470.16 cm²
What is the answer???
Answer:
A. Translation, Translation
Step-by-step explanation:
The pre-image was translated 1 unit up then it was translated 4 unit to the right.
Lesson 4-1 Solving Systems of Equations by Graphing
Answer:
Where's the question?
Step-by-step explanation:
Answer:
we cant answer it theres no backup to the question
Step-by-step explanation:
hi waht is m⁵×m⁴ in algebra maths
Answer:
m⁹
Step-by-step explanation:
In such questions , when any two or more numbers with exponents are multiplied and their bases are equal , the exponents of all the numbers add up . So ,
[tex]m^{5} \times m^{4} = m^{5+4} = m^{9}[/tex]
I am a solution . My number cubed is equal to - 64 . What number am I?
Answer:
-4
Step-by-step explanation:
-4^3 = -64
please help me please will give brainliest to
Answer:
D) (1, -1)
Step-by-step explanation:
point G corresponds with point L
the coordinates of pt G are (2, -2) so take 1/2 of each to get (1, -1)
what's the answer please
THIS IS NOT THE ANSWER, IT'S AN EXAMPLE!!
(You didn't show the numbers that were given for me to answer this. BUT in the example, it shows you how to solve it. Just replace the numbers I put with the ones you were given. If you want me to solve it still, please comment the numbers on this for the answer)
Example; First, write the formula.
A=bh
Next, substitute in the values you have been given.
A=6×2
Then, do the multiplication.
A=12
The answer is 12 sq. cm.
35 - 21 + 6m write a equivalent expression for this
Answer:
6m+14Step-by-step explanation:
[tex]35 - 21 + 6m[/tex]
Simplify : Subtract
[tex]35 - 21 = 14 \\ 14 + 6m \\ 6m + 14[/tex]
Can someone plz help me like please
Answer:
1000 pennies 100 is 1 10th 400 makes 500 which is half of 1000
Right=20 points and I'll answer one of urs
Answer:
40
Step-by-step explanation:
so (48/120)× 100%=40%
WHATS THE ANSWER PLEASE HURRY
Answer:
2.2 * 2.2 = 4.84
4.84 * 6 = 29.04
how do i answer this please?
Answer:
a) [tex]5\sqrt{3} + 3\sqrt{5}[/tex]
b) [tex]4(\sqrt{2} + \sqrt{7})[/tex]
Step-by-step explanation:
a) [tex]9\sqrt{3} - 4\sqrt{3} +\sqrt{5} + 2\sqrt{5}[/tex]
Taking √3 & √5 common respectively,
[tex]=> \sqrt{3} (9 - 4) + \sqrt{5} (1 + 2)[/tex]
[tex]=> 5\sqrt{3} + 3\sqrt{5}[/tex]
b) [tex]10\sqrt{2} + 4\sqrt{7} - 6\sqrt{2}[/tex]
Taking √2 common ,
[tex]=> \sqrt{2} (10-6) + 4\sqrt{7}[/tex]
[tex]=> 4\sqrt{2} + 4\sqrt{7}[/tex]
Taking 4 common ,
[tex]=> 4(\sqrt{2} + \sqrt{7})[/tex]
Please Help :(
Evaluate the expression when x = 9:
5|6−x|
A)−30
B)10
C)15
D)75
Answer:
it is C
Step-by-step explanation:
Its c because i had the exact same problem
(5) Find the value of the variable. The diagram is not to scale.
Answer:
x = 19 degrees
Step-by-step explanation:
180 - 114 = 66
180 - 66 = 114
Other triangle angle is 114 degrees
114 + 47 = 161
180 - 161 = 19
x = 19 degrees
Pls help me it’s overdue!!!
Answer:
Step-by-step explanation:
a = 1935 / 5 is the change
b = 1960 / 10 is the change
c = 1950 / 20 is the change
They are all increasing i'd assume they all went threw a positive change
Janice paid $820 plus 7% sales tax for her airfare. How much did she pay in total for her airfare?
Answer:
877.40
Step-by-step explanation:
solve the equation y=5x+3,x²-y³+45=0
Answer:
y=3.5572205
x=0.1114441
Step-by-step explanation:
Which equation represents a line which is perpendicular to the line 5x + 2y = 12?
Answer:
y = ²/₅ x - 3Step-by-step explanation:
Changing to slope-intercept form:
5x + 2y = 12 {subtract 5x from both sides}
2y = -5x + 12 {divide both sides by 2}
y = -⁵/₂ x + 6
y=m₁x+b₁ ⊥ y=m₂x+b₂ ⇔ m₁×m₂ = -1
{Two lines are perpendicular if the product of theirs slopes is equal -1}
y =-⁵/₂ x + 1 ⇒ m₁ = -⁵/₂
-⁵/₂× m₂ = -1 ⇒ m₂ = ²/₅
So, any line perpendicular to 5x + 2y = 12 must have slope m =²/₅
how do i solve this question?
Answer:
[tex]x = 18[/tex]
[tex]y = 6\sqrt{3}[/tex]
Step-by-step explanation:
Trigonometric Ratios
The ratios of the sides of a right triangle are called trigonometric ratios. The longest side of a right triangle is called the hypotenuse and the other two sides are called the legs.
Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides as follows:
Cosine Ratio
[tex]\displaystyle \cos\theta=\frac{\text{adjacent leg}}{\text{hypotenuse}}[/tex]
Sine Ratio
[tex]\displaystyle \sin\theta=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]
Consider the angle of θ=30°, then we can write:
[tex]\displaystyle \cos 30^\circ=\frac{x}{12\sqrt{3}}[/tex]
Solving for x:
[tex]x=12\sqrt{3}\cos 30^\circ[/tex]
Since:
[tex]\cos 30^\circ=\frac{\sqrt{3}}{2}[/tex]
Then:
[tex]x=12\sqrt{3}\cdot \frac{\sqrt{3}}{2}[/tex]
[tex]x = 18[/tex]
Now apply the sine:
[tex]\displaystyle \sin 30^\circ=\frac{y}{12\sqrt{3}}[/tex]
Solving for y:
[tex]y=12\sqrt{3}\sin 30^\circ[/tex]
Since:
[tex]\sin 30^\circ=\frac{1}{2}[/tex]
Then:
[tex]y=12\sqrt{3}\cdot \frac{1}{2}[/tex]
[tex]y = 6\sqrt{3}[/tex]
Answer:
[tex]x = 18[/tex]
[tex]y = 6\sqrt{3}[/tex]
Frank is making a dog bed from a pattern. The picture shows the length and width of the piece of fabric he needs. Which is the area of the piece of fabric?
Answer:
252 square feet
Step-by-step explanation:
Sarah peeled 84 oranges in 7 hours. At that rate, how many oranges would she peel in 15 minutes?
Which of these triangles appears notto be congruent to any others shown
here? Check all that apply.
A. Triangle A
B. Triangle B
C. Triangle C
D. Triangle D
E. Triangle E
F. Triangle F