Answer:
[tex]x = 3.875[/tex]
[tex]y = 2.375[/tex]
Step-by-step explanation:
See comment for complete question.
Given
A.
[tex]x + 3y = 11 => x + 3y = 11[/tex]
[tex]5x - y = 17 => 15x - 3y = 51[/tex]
[tex]16x = 62[/tex]
B.
[tex]x + 3y = 11[/tex]
[tex]16x = 62[/tex]
Required
Determine the values of x and y
The first equation in B is:
[tex]x + 3y = 11[/tex]
In (a): 5x - y = 17 is multiplied by 3, then added to x + 3y = 11.
So, the second equation is:
[tex]5x - y = 17[/tex]
Solving (a) & (b):
[tex]x + 3y = 11[/tex] --- (1)
[tex]5x - y = 17[/tex] ---- (2)
Make x the subject in (1)
[tex]x + 3y = 11[/tex]
[tex]x = 11 - 3y[/tex]
Substitute [tex]11 - 3y[/tex] for x in [tex]5x - y = 17[/tex]
[tex]5(11 - 3y) - y = 17[/tex]
Open bracket
[tex]55 - 15y - y = 17[/tex]
[tex]55 - 16y = 17[/tex]
Collect Like Terms
[tex]- 16y = 17-55[/tex]
[tex]- 16y = -38[/tex]
Solve for y
[tex]y = \frac{-38}{-16}[/tex]
[tex]y = \frac{38}{16}[/tex]
[tex]y = 2.375[/tex]
Substitute 2.375 for y in [tex]x = 11 - 3y[/tex]
[tex]x = 11 - 3 * 2.375[/tex]
[tex]x = 11 - 7.125[/tex]
[tex]x = 3.875[/tex]
Answer:
(4,3)
Step-by-step explanation:
I took the test.
A Spanish teacher shares 10 maracas equally between 6 students. The number of maracas that each student gets lies between what two whole numbers?
1 and 2
4 and 5
3 and 4
6 and 7
help me for brainlist please amelias
Answer:
b. V = 336 ft³
Step-by-step explanation:
[tex]V = \frac{1}{2}bhl\\b = 14\\h = 8\\l = 6\\V = \frac{1}{2}(14)(8)(6)\\V = 336 ft^{3}[/tex]
Work out the size of angle x
Answer:
angle x=10
Step-by-step explanation:
Simplify
5 + 2(3x − 4) − x
[tex]5x - 3[/tex]
Step-by-step explanation:
1) Expand by distributing terms.
[tex]5 + 6x - 8 - x[/tex]
2) Collect like terms.
[tex](5 - 8) + (6x - x)[/tex]
3) Simplify.
[tex] - 3 + 5x[/tex]
4) Regroup terms.
[tex]5x - 3[/tex]
Therefor the answer for this equation will be, 5x - 3.
Answer:
5x-3
Step-by-step explanation:
distribute 2 to 3x and -4
then you get 5+6x-8-x
combine like terms
5-8; 6x-x
you get: 5x-3
hopes this helps
Find 3 numbers in G.P whose sum is 28 and whose product is 512
Answer:
4, 8 and 16
Step-by-step explanation:
a/r ×a×ar =512
a^3 =512
a = cube root of 512
a=8
8/r+8+8r=28
8r^2+8=20r
8r^2-20r+8=0
8r^2-16r-4r+8=0
8r(r-2)-4(r-2)=0
(8r-4)(r-2)=0
r=2
8r=4
so r=2 or r=1/2
so of r is 2
8/2=4
and 8×2=16
If you get the answer just give me the full answer please. No matter the length.
Answer:
CD = 4
Step-by-step explanation:
I believe you know the geometric mean for altitudes?
CD = √AD * DB = √8 * 2 = √16 = 4
If you are not aware of this theorem, then use the similarity of triangles.
ADC ~ CDB
AD/DC = CD/DB (cross-multiply)
CD^2 = AD*DB,
CD = √AD * DB = √8 * 2 = √16 = 4
HELP URGENTLY NEEDED STUCK ON THIS FOR 2 DAYS!!!!! LOTS OF POINTS FOR PERSON WHO HELPS!!!
Jada is three years older than twice her brother’s age. Select all the equations that correctly represent the relationship between Jada’s age j and her brother’s age b.
Multiple select question.
A) j=2b+3
B) j=2(b+3)
C) j=b2−3
D) b=2j+3
E) b=j−32
F) b=j2−3
Answer:
A
Step-by-step explanation:
2b meaning two times the age then add three like the question says.
NEED HELP ASAP PLS PLS PLS 30 POINTS PLSSS
it’s algebra 2
Answer:
if the ratio is 7/10 then do 10/400 and it will be 28 days
Step-by-step explanation:
Complete the square to find the missing term c.
x^2 – 12x + c
GIVING BRAINLIEST! Please help.
A wooden right circular cylinder with diameter 9 cm and height 9 cm is topped with a hemisphere. The surface area, in cm^2, of the resulting shape is...
a) 141.75pie
b) 182.25pie
c) 162pie
d) 405pie
e) 18.25 + 60.75pie
Answer: answer is d
Step-by-step explanation:
i would explain but im helping 7 other people rn
When 12 is multiplied by a number , the result is 72 which equation fits the statement ? X/12-72 12x=72 12+x=72 12/x=72
Answer:wef
Step-by-step explanation:
Answer:
Its B
Step-by-step explanation:
Write the equation of the line in slope-intercept form.
The equation of the line in slope-intercept form is
Answer:
y = -4/3 x + 2
Step-by-step explanation:
Let us assume the equation given is 3y + 4x = 6
The standard form in slope-intercept form is y = mx+c
m is the slope
c is the intercept
Make y the subject of the formula
3y + 4x = 6
3y = -4x + 6
Divide through by 3
3y/3 = -4/3 x + 6/3
y = -4/3 x + 2
Hence the equation of the line in slope-intercept form is y = -4/3 x + 2
A mistake was made in the steps shown to simplify the expression. Which step includes the mistake?
Answer:
the answer
Step-by-step explanation:
the answer :7
I BET NO ONE KNOWS THIS What is the number of moles of Ba(NO3)2 in 135 g Ba(NO3)2? _____ mol Ba(NO3)2
Answer:
261.3368
Step-by-step explanation:
please help me with this question and if you don't know it, pls don't answer. thank you!
the directions are: determine whether the triangles are similar by AA, SSS, SAS, or not similar. if the troubles are similar, write a valid similarity statement.
Answer:
The triangles are similar because angle N=angle E and angle F=angle H.
Angle-Angle (AA or AAA) Similarity theorem: If any two angles of a triangle are equal to any two angles of another triangle, then the two triangles are similar to each other.
Step-by-step explanation:
Find the product. Write the product in simplest form.
8 X
5/7
Answer:
Simplify above fraction
56
6
Common divisor of (56, 6) is 2
Divide both numerator & denominator by gcd value 2
56
6
=
56
÷
2
6
÷
2
=
28
3
8
3
×
7
2
=
28
3
Step-by-step explanation:
Round your answer to the nearest hundredth
Answer:
15.01
Step-by-step explanation:
Tangent=Opposite/adjacent
Tan(65)=?/7
Tangent of 65 x 7=
15.01
A bird flies 5 miles per hour for 2 hours.
How far, in feet, does the bird travel in 2 hours?
Answer:
since u have the answer already i will just tell you a story
Step-by-step explanation:
once upon a time there were 3 little pigs and those pigs hated each other
so one day when there mother kicked them out of the house because they ate all of her pie, they had to go out and live on the streets. One pig got hungry so he ate a little kitten that was crossing the street. THE END.
hope u liked my story
Dave is going to roll a die 60 times and see how often 1 falls.
According to the theoretical probability, how many shots must Dave make to expect to get 1?
Answer:
1,2,3,4,5,6 possibilities, so 1,3,5 are odd. 3/6 probability. consecutive rolls mean multiplication. 3/6 times 3/6 times.... a total of 5 times.
Step-by-step explanation:
Answer:
=1/6 x 60
=10
He should expect about 10 roles to show a 1.
Falling rock on another planet was detected as moving at the following speeds, corresponding to the time suggested in the table, which equation Can be used to find the speed of the rock at T seconds?
Answer:
B. s = 24t
Step-by-step explanation:
Since s varies directly with t, therefore, equation that will represent the relationship would take the form of s = my
m = rate of change
✔️Find the rate of change:
Rate of change using two given pairs, (0.5, 12) and (2.5, 60),
Rate of change (m) = ∆s/∆t = (60 - 12)/(2.5 - 0.5) = 48/2 = 24
✔️Substitute m = 24 into s = mt
s = 24t
Given the equation of line y = -2x : Does the point M( 1/2 , 1) belong to the graph?
PLEASE HELP ME! I promise to mark brainliest if you give me the correct answer. Thank you!!
Answer:
no it does not belong to the graph
Step-by-step explanation:
plug in the x-coordinate and see if it gives you the y-coordinate (1). if 1 is what comes out, then it is not a point on the graph.
y = -2(1/2)
y = -1
y = -1 when x = 1/2, which is not 1 so it does not belong to the graph
WILL GIVE BRAINLEST
The length of a violin string varies indirectly with the frequency of vibrations of the string. When the length is 50 centimeters, the frequency is 2 Hz.
What is the frequency of a string 40 centimeters long?
Answer:
1.6 Hz
Step-by-step explanation:
I know this was posted a week ago, but, if you still need help:
You can set up a proportion, as follows.
50 / 2 = 40 / x => where x = frequency in Hz,
x = 2*40/50 = 80/50 = 8/5 = 1.6 Hz
Simple Question.
Subtract 2x2 – 1 from 4x2 + 2
Answer:
5 ig
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
4x2= 8
8+2= 10
------
2x2 = 4
4-1=
3
-----
10-3=7
anyone know what this 3 ⅞ x 3/10 = ?
EXACT FORM:
[tex] \frac{93}{80} [/tex]
OR,
MIXED NUMBER FORM:
[tex]1 \frac{13}{80} [/tex]
BOTH ANSWERS ARE CORRECT!
HOPE THIS HELPS!! :)
If a shadow of a tree is 15 feet long. What is the height of the tree in feet
A rectangular piece of land has an area of 3/4 square mile. The land is 2 1/2 miles long. What is its width
Given:
A rectangular piece of land has an area of [tex]\dfrac{3}{4}[/tex] square mile.
The land is [tex]2\dfrac{1}{2}[/tex] miles long.
To find:
The width of the rectangular land.
Solution:
We have,
Area of a rectangle = [tex]\dfrac{3}{4}[/tex] square mile.
Length = [tex]2\dfrac{1}{2}[/tex] miles
We know that, area of a rectangle is
[tex]A=l\times b[/tex]
[tex]\dfrac{3}{4}=2\dfrac{1}{2}\times b[/tex]
[tex]\dfrac{3}{4}=\dfrac{2(2)+1}{2}b[/tex]
[tex]\dfrac{3}{4}=\dfrac{5}{2}b[/tex]
Multiply both sides by [tex]\dfrac{2}{5}[/tex], we get
[tex]\dfrac{2}{5}\times \dfrac{3}{4}=\dfrac{2}{5}\times \dfrac{5}{2}b[/tex]
[tex]\dfrac{6}{20}=b[/tex]
[tex]\dfrac{3}{10}=b[/tex]
Therefore, the width of the land is [tex]\dfrac{3}{10}[/tex] miles.
Find f^-1(x) where
f(x) = 3x+2/x
Given:
Consider the function is
[tex]f(x)=\dfrac{3x+2}{x}[/tex]
To find:
The inverse of the function, .i.e., [tex]f^{-1}(x)[/tex].
Solution:
We have,
[tex]f(x)=\dfrac{3x+2}{x}[/tex]
Putting f(x)=y, we get
[tex]x=\dfrac{3y+2}{y}[/tex]
Isolate the variable y.
[tex]xy=3y+2[/tex]
[tex]xy-3y=2[/tex]
[tex]y(x-3)=2[/tex]
[tex]y=\dfrac{2}{x-3}[/tex]
Putting [tex]y=f^{-1}(x)[/tex], we get
[tex]f^{-1}(x)=\dfrac{2}{x-3}[/tex]
Therefore, the inverse function is [tex]f^{-1}(x)=\dfrac{2}{x-3}[/tex].
Please help! how do i know if it’s sin, cos, or tan if they’ve already given me all three numbers ?
Answer:
Here you can use any!
sin x = 64/80
cos x = 48/80
tan x = 64/48
Find the missing side of the triangle
Answer:
25 in
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 EqualityTrigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
a is a leg b is another leg c is the hypotenuseStep-by-step explanation:
Step 1: Identify
Leg a = 24
Leg b = 7 in
Leg c = x
Step 2: Solve for x
Substitute in variables [Pythagorean Theorem]: 24² + 7² = x²Evaluate exponents: 576 + 49 = x²Add: 625 = x²[Equality Property] Square root both sides: 25 = xRewrite/Rearrange: x = 25Hello, I need help. thank you
Answer:
B
Step-by-step explanation:
all you need to do is add 5 to the y for example ( -5, 5) add 5 to the (x,5) to make ( -5,10). As you can see only the y value is shifting, not the x value, that's why you need to add 5 to all the y values.
So the answer here is B.
Answer:
B
Step-by-step explanation:
The answer is B because 5 units up from 5 is 10. A and B both have a y coordinate of 5 and the answer letter B is the only one that mention 10 as a y coordinate twice