Answer:
The Correct Answer is [tex]\frac{11}{2}[/tex] (11/2)
Decimals Form: 5.5
Answer:
5 1/2 or 5.5
Step-by-step explanation:
11/5 ÷ 2/5
11/5 × 5/2 = 11/2 = 5 1/2
What are the solutions of X^2-8+16=11
Answer:
x = ±√3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsSolving quadraticsStep-by-step explanation:
Step 1: Define
Identify
x² - 8 + 16 = 11
Step 2: Solve for x
Combine like terms: x² + 8 = 11[Subtraction Property of Equality] Subtract 8 on both sides: x² = 3[Equality Property] Square root both sides: x = ±√3John measured two pieces of string. One piece measured 7/12 m and the other measured 4/7 m.
Select the true statement about the lengths of John's string.
1) 7/12= 0.58, 4/7= 0.57
they are about 1/2
2) 7/12 + 4/7 = 97/84= 1.15 approximately 1
which is 1m from the option
Write an expression in simplest form for the perimeter of a right triangle with leg lengths of 12a5 and 9a5.
Given:
The lengths of legs of a right triangle are [tex]12a^5[/tex] and [tex]9a^5[/tex].
To find:
The perimeter of a right triangle.
Solution:
In a right angle triangle,
[tex]Hypotenuse=\sqrt{Leg_1^2+Leg_2^2}[/tex]
[tex]Hypotenuse=\sqrt{(12a^5)^2+(9a^5)^2}[/tex]
[tex]Hypotenuse=\sqrt{144a^{10}+81a^{10}}[/tex]
[tex]Hypotenuse=\sqrt{225a^{10}}[/tex]
On further simplification, we get
[tex]Hypotenuse=\sqrt{(15a^{5})^2}[/tex]
[tex]Hypotenuse=15a^5[/tex]
Now, the perimeter of the triangle is the sum of all of its sides.
[tex]Perimeter=Leg_1+Leg_2+Hypotenuse[/tex]
[tex]Perimeter=12a^5+9a^5+15a^5[/tex]
[tex]Perimeter=36a^5[/tex]
Therefore, the perimeter of the right triangle is [tex]36a^5[/tex].
3p²q - 6pq² help me please .
3p²q - 6 pq²
3pq (p - 2q )
I think this is the solution
Please help me ASAP
Answer:
4. =3 ft
5. 2/1.25 lb
Answer:
4) 3 ft = 36in ⇔ [tex]\frac{36in}{12in}[/tex] = 3 inches
5) 2 lb = 32 oz ⇔ [tex]\frac{32oz}{20oz}[/tex] = 1.6 oz
How much would $600 be worth after 10 years, if it were invested at 4% interest compounded continuously? (Use the formula below and round your answer to the nearest cent.) A(t) = P▪︎e^rt
Answer:
600[tex]e^{10*.04}[/tex]
$895.09
Step-by-step explanation:
(2x–y)²–(y+2)²-----------
Answer:
4x² -4xy -4y -4
Step-by-step explanation:
[tex]\boxed{ {a}^{2} - {b}^{2} = (a + b)(a - b)}[/tex]
In this case, a= 2x -y and b= y +2.
(2x -y)² -(y +2)²
= (2x -y +y +2)[2x -y -(y +2)]
= (2x +2)(2x -y -y -2)
= (2x +2)(2x -2y -2)
= 2x(2x) +2x(-2y) +2x(-2) +2(2x) +2(-2y) +2(-2) (expand)
= 4x² -4xy -4x +4x -4y -4
= 4x² -4xy -4y -4
Alternatively, start by expanding the brackets.
[tex]\boxed{(a - b)^{2} = {a}^{2} - 2ab \: + {b}^{2} }[/tex]
[tex]\boxed{(a + b)^{2} = {a}^{2} + 2ab \: + {b}^{2} }[/tex]
(2x -y)² -(y +2)²
= 4x² -4xy +y² -(y² +4y +4)
= 4x² -4xy +y² -y² -4y -4 (expand)
= 4x² -4xy -4y -4 (simplify)
In the diagram, the figures are similar. Use proportions to find x.
Answer:
x~11
Step-by-step explanation:
22:17=14:x
22/17=14/x
22x=17*14
22x=238
22x/22=238/22
x=238/22
x=10.818181818181818
x~11
is this correct please help!
Answer:
Almost...
The correct answer would be
To find the area of the base, multiply 15 times 16 then divide by 2
Then multiply by 19 to find the volume of the shape
Step-by-step explanation:
The base is a triangle
The area of a triangle = base length times height divided by 2
The triangle has a base length of 16 and a height of 15
So to find the area of the base we multiply 15 times 16 and divide that by 2
The volume of a prism is equal to the area of the base times the length of the prism
The length of the prism is 19 so we would then multiply by 19
if i made 11$ an hour working at publix how much would i have in 4 year's?
i need to know because me and my friend plan to work at publix as soon as we turn 14 and in 4 year's when we turn 18 we want to have enough to move into an apartment/house right away
Answer:
40*52*11*4 = $91,520
But I am skeptical that you would earn dollars where you would be working... I assume that you do not work in the is because 11 dollars per hour is written at $11/hr not 11$ /hr, thus I assume that you do not live anywhere that pays in U.S. dollars.
Step-by-step explanation:
Answer: $385440 if you work non stop, for every hour of those 4 years
Step-by-step explanation: 24 hours in a day, 24*365=8760
8760*4=35040 total hours.
Now if we multiply that by 11, because you get 11 dollars an hour,
35040*11= $385440 in total
But that's not counting items you may buy, and it also assumes you work every hour of every day. If you want a more realistic amount, you're gonna have to specify the hours that you work.
How many cups of chocolate would Linda need for 2 cups of cream
What additional information is needed to prove the triangles are congruent by HL?
Answer:
bce is 90
Step-by-step explanation:
A positive
B negative
C none
D multiple
Answer:
Step-by-step explanation:
The letter c
Please help me ASAP
Answer:
no
Step-by-step explanation:
no
Determine the equation of the line perpendicular to y = 1/5x – 7 and passes through the point (-3,6).
Answer:
y = -5x - 9
Step-by-step explanation:
y = -5x + b
6 = -5(-3) + b
6 = 15 + b
b = -9
Help
Will
Give
BRIANLIST
Answer
what is the equation of a line that is perpendicular to y=1/2x+1 and passes through the point of (8,0)?
Answer:
D. y= -2x+16
Step-by-step explanation:
the slope = -1÷½ = -2
the equation :
y-0= -2(x-8)
y = -2x+16
Find the value of x in the isosceles triangle shown below.
Answer:
x = [tex]\sqrt{26}[/tex]
Step-by-step explanation:
using pythagoras theorem
here [tex]\sqrt{13}[/tex] and [tex]\sqrt{13}[/tex] are the legs of the right angled triangle and x is hypotenuse.
a^2 + b^2 = c^2
[tex](\sqrt{ 13 })^2 + (\sqrt{13})^2 = x^2[/tex]
13 + 13 = x^2
26 = x^2
[tex]\sqrt{26}[/tex] = x
Answer:
answer would be c
Step-by-step explanation:
hope this helps
Which of the following is an equation of the line that passes through the point (1, 1) and has a slope of 2?
Answer:
You didn't provide " the following" from which to choose.
Here are two solutions
y = 2x - 1
y - 1 = 2(x - 1)
What is the surface area of this cone?
A) 161pi ft^2
B) 49pi ft^2
C) 112pi ft^2
D) 125pi ft^2
Answer:
I think it's C. cause I multipled 16 by 7
Use the number line to find the measure of SV please help
Answer:
8
Step-by-step explanation:
count up from where s is (-7) to where v is (1) there are 8 numbers in between them. making that he length
Answer:
S= -7 to V= 1 so your answer is 8
ANSWER IS C
Which number line represents the solution to 2.5 – 1.2x < 6.5 – 3.2x?
1.) A number line from negative 5 to 5 in increments of 1. An open circle is at 4 and a bold line starts at 4 and is pointing to the left.
2.) A number line from negative 5 to 5 in increments of 1. An open circle is at 4 and a bold line starts at 4 and is pointing to the right.
3.) A number line from negative 5 to 5 in increments of 1. An open circle is at 2 and a bold line starts at 4 and is pointing to the left.
4.) A number line from negative 5 to 5 in increments of 1. An open circle is at 2 and a bold line starts at 4 and is pointing to the right.
Answer:
x <2
Step-by-step explanation:
2.5 – 1.2x < 6.5 – 3.2x
Add 3.2x to each side
2.5 – 1.2x+3.2x < 6.5 – 3.2x+3.2x
2.5 +2x < 6.5
Subtract 2.5 from each side
2.5+2x-2.5<6.5-2.5
2x<4
Divide by 2
2x/2 < 4/2
x <2
. In an enlargement with scale factor 2, which of the following statements is not true?
A. Each length is multiplied by 2
B. Each angle remains the same
C. The shape of the figure does not change.
D. The size of the figure does not change
Answer:
option B , C , D
Step-by-step explanation:
Enlargemet is a rule which transfers an object into an object of the same form by enlarging its size in a given ration.
Remember
If k > 1 , the given object is enlarged. Since the scale fator (k) is 2 and it is greater than 1 the size of the figure enlarges . So according to this definition option B , c and d are incorrect.
only option A satisfies . So out of all these statements only option A is true.
formula :
(x , y) = (kx , ky) ( k means scale factor)
here scale factor is multiplied to the coordinate x and y.
since the scale factor is 2 it means that the length or the value of both x and y coordinate is multiplied by 2.So, it is true . And rest are not true.
A watch that originally cost $110 has been marked down to $88. What was the percent of the markdown ?
12%
10%
25%
20%
Answer:
20%
Step-by-step explanation:
When calculating percents, it is important to divide by the initial value, not the end value. The formula for calculating percents is
[tex]\frac{finalvalue - inititalvalue}{initialvalue} * 100[/tex]
Plugging our values into this formula, we get
[tex]\frac{88-110}{110} * 100 = 20[/tex] as our answer.
Which of the following best describes the term postulate?
A. A statement that is not officially defined but that is understood to be common sense
B. A precise statement of the qualities of an idea, object, or process
C. A logical arrangement of deductions that leads to the conclusion that a statement is always true
D. A statement that is assumed to be true without proof
Answer:
D. A statement that is assumed to be true without proof
Step-by-step explanation:
Factorx^2 + x - 6, asappp
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: ( \: x - 2 \: )( \: x + 3 \: )}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] {x}^{2} + x - 6[/tex]
➼[tex] \: {x}^{2} + 3x - 2x - 6[/tex]
Taking [tex]x[/tex] as common from first two terms and 2 from last two terms, we have
➼[tex] \: x \: ( \: x + 3 \: ) - 2 \: ( \: x + 3 \: )[/tex]
Taking the factor [tex](x+3)[/tex] as common,
➼[tex] \: ( \: x - 2 \: )( \: x + 3 \: )[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
Find the direct variation equation
Answers:
The direct variation equation is y = 5xIf x = 4, then y = 20=================================================
Explanation:
Let's say that the letter k replaces the green box
We have the equation y = kx
Plug in (x,y) = (7,35) to get the equation 35 = k*7
Dividing both sides by 7 leads to k = 5
Therefore, the direct variation equation is y = 5x
We can check this by plugging in x = 7
y = 5x
y = 5*7
y = 35
So x = 7 leads to y = 35 as expected.
-------------
Do the same for x = 4
y = 5x
y = 5*4
y = 20 when x = 4
Side note: direct variation equations always go through the origin.
Answer:
20
Step-by-step explanation:
if y varies directly with x, then it takes the form y=mx
to find m, substitute in the values of x and y to get 35=m*7 and simplify to get that m=5
then the equation becomes y=5x
substitute in the value they gave for x which is 4 to get y=5*4
to get that y=20
Can someone please help I really need these points
Given:
Two chords intersect each other inside the circle.
To find:
The value of x.
Solution:
According to intersecting chords theorem, if two chords intersect each other inside the circle, then the product of two segments of one chord is equal to the product of two segments of second chord.
In the given circle,
[tex]AE\times CE=BE\times DE[/tex]
[tex](3x-11)\times (5x-4)=(x+2)\times (-x+17)[/tex]
[tex]15x^2-12x-55x+44=-x^2+17x-2x+34[/tex]
[tex]15x^2-67x+44+x^2-15x-34=0[/tex]
[tex]16x^2-82x+10=0[/tex]
Divide both sides by 2.
[tex]8x^2-41x+5=0[/tex]
Splitting the middle term, we get
[tex]8x^2-40x-x+5=0[/tex]
[tex]8x(x-5)-1(x-5)=0[/tex]
[tex](8x-1)(x-5)=0[/tex]
Using zero product property, we get
[tex](8x-1)=0[/tex] or [tex](x-5)=0[/tex]
[tex]x=\dfrac{1}{8}[/tex] or [tex]x=5[/tex]
For [tex]x=\dfrac{1}{8}[/tex], the side AE is negative. So, [tex]x=\dfrac{1}{8}[/tex] is not possible.
Therefore, the required solution is [tex]x=5[/tex].
(4 × 5) × 7 = 7 × _________ (4 × 7) 20 (7 - 5) (5 + 7)
Answer:
I think the answer is 5 hope it helps
What is the inverse of the statement below?
x →y
A. -X
B. y = x
C. y = x
O D. -x=y
Help plz
Answer:
d -x=y the awnssr may not be correct but I tried so