Answer:
x = 23 , y = 21
Step-by-step explanation:
-6x + 7y = 9 -- (1)
2x - 2y = 4 -- (2)
(2) x 3 : 6x - 6y = 12 -- (2)'
(1) + (2)' : y = 21 -- (3)
Subtituting (3) into (2),
2x - 42 = 4
2x = 46
x = 23 -- (4)
According (3) and (4),
x = 23 , y = 21
If this helps you, please give brainliest!
b) 6 x (5 + 4) 1) 32 - (14 - 6) X 3 35 - {15 - (19 + 5)=3} 1) 5 {13 + 12 + 3 (2 x 2)
Answer:
your answer is 1275
Step-by-step explanation:
ccifufbfjrorwfeejeidiffgfkxxocyegdo
what is the solution to the system of equations?
2x-3y-z=-6,
4x-y-z=-2
-x+2y-2z=-9
Answer:
x=7/13, y=19/13, z=74/13
Step-by-step explanation:
Add or subtract multiples of equations to eliminate one variable. I picked z to eliminate.
Subtract the 1st equation from the 2nd equation.
2x + 2Y = 4 or x + y = 2 or y = -x + 2, then
Multiple the 2nd equation by 2 and subtract the 3rd equation.
9x - 4y = 5 then sub (-x + 2) for y from previous step.
9x - 4(-x +2) = 5
13x -2 = 5
13x = 7
x = 7/13
plug that into either of the step 1 equations to gey y.
y = -x + 2
y = -7/13 + 2
y = 19/13
then plug the found x and y into any one of the original equations to get z.
-x + 2y - 2z = -9
-7/13 + 2(19/13) - 2z = -9
31/13 - 2z = -9
-2z = -9 - 31/13
-2z = -117/13 - 31/13 = -148/13
z = 74/13
area of a parallelogram with a base of 7cm and a perpendicular height of 9 cm
Answer:
63
Step-by-step explanation:
A=bh=7·9=63
base times perpendicular height
Answer:
63
Step-by-step explanation:
7x9=63
you copied my answer on a different question.
and literally copied and pasted it and it's so obvious and i saw u change it
Help please will be marked as brainliest if correct.
Answer:
5
Step-by-step explanation:
Greater than 0
Less than 100
Is not 4, but is greater than four
Is less than 5.5
Must be a whole number
5 is the only whole number between 4 and 5.5
Use the following number line to determine if the expressions are true or false.
Answer:
[tex]{ \tt{a < b→true}} \\ { \bf{reason :because \: - 1 \: is \: less \: than \: 4.5 }}\\ \\ { \tt{ |a| > b →false}} \\ { \bf{reason :1 \: is \: not \: greater \: than \: 4.5 }}\\ \\ { \tt{a < |b| →true}}[/tex]
Answer:
true
false
true
Step-by-step explanation:
what's the explicit formula for 5,10,15,20,25,30
Answer:
[tex]a_{n}[/tex] = 5n
Step-by-step explanation:
There is a common difference d between consecutive terms
d = 10 - 5 = 15 - 10 = 20 - 15 = 25 - 20 = 30 - 25 = 5
This indicates the sequence is arithmetic with explicit formula
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 5 and d = 5 , then
[tex]a_{n}[/tex] = 5 + 5(n - 1) = 5 + 5n - 5 = 5n
The perimeter of the original rectangle is ______
The side length of the enlarged rectangle is ________
The perimeter of the enlarged rectangle is________
Answer:
perimter of original rectangle = 17. 6 mmside length of the enlarged rectangle = 23. 22 mmperimeter of the enlarged rectangle = 95. 04 mmStep-by-step explanation:
PERIMETER OF ORIGINAL RECTANGLE
Length of original rectangle = 4.5 mmWidth of original rectangle = 4.3 mmperimeter = 2 × ( length + width)
= 2 × ( 4.5 + 4.3)
= 2 × 8.8
= 17. 6 mm
SIDE LENGTH OF ENLARGED RECTANGLE
Width of original rectangle = 4. 5 mm Width of enlarged rectangle = 24.3 mmEnlargement factor = 24.3 / 4.5
= 5.4
Length of original rectangle = 4.5 mm Enlargement factor = 5.4Side length of enlarged rectangle
= original length × Enlargement factor
= 4.3 × 5.4
= 23. 22 mm
PERIMTER OF ENLARGED RECTANGLE
= 2 × ( enlarged ength + enlarged breadth)
= 2 × (23. 22 + 24. 3 )
= 95. 04 mm
Work out the value of
[tex]2 ^{3}x2 [/tex]
Answer:
Answer is 12
Step-by-step explanation:
ok 3x2=6 1ñ 2 12
ok 3
Need help on this question asap pleasee
Answer:
B
Step-by-step explanation:
9 divided by 4, then multiply by 12
Answer:
y = 2.25(12)
Step-by-step explanation:
$9 for 4 pizzas
$9/4 = $2.25
$9 for 4 pizzas is the same ratio as $2.25 per 1 pizza
To deliver x number of pizzas, the charge, y, is
y = 2.25x
For 12 pizzas, the delivery charge is
y = 2.25(12)
they have 46 row in a theater. there are 42 seats and 50 seats empty calculate how many person was watching the show.
Answer:
8 people watched the show
Step-by-step explanation:
50 - 42 = 8
What is the first step when factoring the trinomial .,
Answer:
Step 1: Set up a product of two ( ) where each will hold two terms. Step 2: Find the factors that go in the first positions. Step 3: Find the factors that go in the last positions. We need two numbers whose product is 9 and sum is 2.p explanation:
Answer:
A❤️✌️❤️✌️❤️Aaaaaa
the bag of skittles has 3 parts red skittles , 5 parts yellow skittles and 7 parts orange skittle. Represent this ratio three ways;visually, using ratio notation and using fraction notation
Step-by-step explanation:
Given that,
The bag of skittles has 3 parts red skittles, 5 parts yellow skittles and 7 parts orange skittle.
Ratio notation is= 3:5:7
Frction notation,
Red skittle[tex]=\dfrac{3}{3+5+7}=\dfrac{1}{5}[/tex]
Yellow skittle [tex]=\dfrac{5}{3+5+7}=\dfrac{1}{3}[/tex]
Orange skittle [tex]=\frac{7}{3+5+7}=\dfrac{7}{15}[/tex]
Hence, this is the required solution.
A rectangular vegetable farm measures 45 m by 15 m. It has also a path of 1m wide. What is the area of the path?
[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]
[tex]\huge\underline{\sf{\red{Problem:}}}[/tex]
A rectangular vegetable farm measures 45 m by 15 m. It has also a path of 1m wide. What is the area of the path?[tex]\underline{\sf{\red{Formula\:for\: area\: of \:rectangular\: form:}}}[/tex]
[tex]\quad\quad\quad\quad\boxed{\sf{\red{➢} \: \sf{a=l×b}} }[/tex]
[tex]\underline{\sf{\red{Given:}}}[/tex]
[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{Length\:of\:rectangular\:form = 45m} }[/tex]
[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{Breadth\:of\:rectangular\:form = 15m} }[/tex]
[tex]\underline{\sf{\red{Solution:}}}[/tex]
[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{a=l×b} }[/tex]
[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{a=45m×15m} }[/tex]
[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{a=\boxed{\sf{{675m}^{2}}}} }[/tex]
[tex]\underline{\sf{\red{For\:rectangular\: form\:with\:path:}}}[/tex]
[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{Length\:of\:rectangular\:form = 45m+2=47m} }[/tex]
[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{Breadth\:of\:rectangular\:form = 15m+2=17m} }[/tex]
[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{a=l×b} }[/tex]
[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{a=47m×17m} }[/tex]
[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{a=\boxed{\sf{{799m}^{2}}}} }[/tex]
[tex]\huge\underline{\sf{\red{Area\:of\:path:}}}[/tex]
[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{a={799m}^{2}-{675m}^{2}} }[/tex]
[tex]\quad\quad\quad\quad\boxed{\sf{\red{➢} \: \sf{a={124m}^{2}} }}[/tex]
[tex]\huge\underline{\sf{\red{Answer:}}}[/tex]
[tex]\huge\quad\quad\underline{\boxed{\sf{\red{a={124m}^{2}} }}}[/tex]
[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]
[tex]\sf{\red{︎✰}ShineBrighter\red{︎✰}}[/tex]
[tex]\sf{✍︎ C.Rose\red{❀}}[/tex]
ฅ^•ﻌ•^ฅ
What is the area of the yellow region?
Answer:
195 sq cm
Step-by-step explanation:
15 x 15 = 225
----------------------
3(8) + 2(3) = 30
----------------------
225 - 30 = 195 sq cm
Grade 10 Math. Solve for y. Will mark right answer brainliest :)
Answer:
y=5, y=[tex]\frac{38}{11}[/tex]
Step-by-step explanation:
Hi there!
We are given the equation
[tex]\frac{y+2}{y-3}[/tex]+[tex]\frac{y-1}{y-4}[/tex]=[tex]\frac{15}{2}[/tex] and we need to solve for y
first, we need to find the domain, which is which is the set of values that y CANNOT be, as the denominator of the fractions cannot be 0
which means that y-3≠0, or y≠3, and y-4≠0, or y≠4
[tex]\frac{y+2}{y-3}[/tex] and [tex]\frac{y-1}{y-4}[/tex] are algebraic fractions, meaning that they are fractions (notice the fraction bar), but BOTH the numerator and denominator have algebraic expressions
Nonetheless, they are still fractions, and we need to add them.
To add fractions, we need to find a common denominator
One of the easiest ways to find a common denominator is to multiply the denominators of the fractions together
Let's do that here;
on [tex]\frac{y+2}{y-3}[/tex], multiply the numerator and denominator by y-4
[tex]\frac{(y+2)(y-4)}{(y-3)(y-4)}[/tex]; simplify by multiplying the binomials together using FOIL to get:
[tex]\frac{y^{2}-2y-8}{y^{2}-7y+12}[/tex]
Now on [tex]\frac{y-1}{y-4}[/tex], multiply the numerator and denominator by y-3
[tex]\frac{(y-1)(y-3)}{(y-4)(y-3)}[/tex]; simplify by multiplying the binomials together using FOIL to get:
[tex]\frac{y^{2}-4y+3}{y^{2}-7y+12}[/tex]
now add [tex]\frac{y^{2}-2y-8}{y^{2}-7y+12}[/tex] and [tex]\frac{y^{2}-4y+3}{y^{2}-7y+12}[/tex] together
Remember: since they have the same denominator, we add the numerators together
[tex]\frac{y^{2}-2y-8+y^{2}-4y+3}{y^{2}-7y+12}[/tex]
simplify by combining like terms
the result is:
[tex]\frac{2y^{2}-6y-5}{y^{2}-7y+12}[/tex]
remember, that's set equal to [tex]\frac{15}{2}[/tex]
here is our equation now:
[tex]\frac{2y^{2}-6y-5}{y^{2}-7y+12}[/tex]=[tex]\frac{15}{2}[/tex]
it is a proportion, so you may cross multiply
2(2y²-6y-5)=15(y²-7y+12)
do the distributive property
4y²-12y-10=15y²-105y+180
subtract 4y² from both sides
-12y-10=11y²-105y+180
add 12 y to both sides
-10=11y²-93y+180
add 10 to both sides
11y²-93y+190=0
now we have a quadratic equation
Let's solve this using the quadratic formula
Recall that the quadratic formula is y=(-b±√(b²-4ac))/2a, where a, b, and c are the coefficients of the numbers in a quadratic equation
in this case,
a=11
b=-93
c=190
substitute into the formula
y=(93±√(8649-4(11*190))/2*11
simplify the part under the radical
y=(93±√289)/22
take the square root of 289
y=(93±17)/22
split into 2 separate equations:
y=[tex]\frac{93+17}{22}[/tex]
y=[tex]\frac{110}{22}[/tex]
y=5
and:
y=[tex]\frac{93-17}{22}[/tex]
y=[tex]\frac{76}{22}[/tex]
y=[tex]\frac{38}{11}[/tex]
Both numbers work in this case (remember: the domain is y≠3, y≠4)
So the answer is:
y=5, y=[tex]\frac{38}{11}[/tex]
Hope this helps! :)
HELPPP ASAPPP PLAESE HELPP
Answer:
first question answer is step 2 and second step is answer step 3, last one is step is answer step 1
Select the correct answer.
The elimination method is ideal for solving this system of equations. By which number must you multiply the second equation to eliminate the
y variable, and what is the solution for this system?
x+3y= 42
2x - y = 14
OA. Multiply the second equation by-3. The solution is x= 12, y=9.
OB. Multiply the second equation by -2. The solution is x = 12, y=10.
OC. Multiply the second equation by 2. The solution is x = 15, y = 9.
OD. Multiply the second equation by 3. The solution is x = 12, y = 10.
Answer:
Multiply the second equation by 3. The solution is x = 12, y = 10.
Step-by-step explanation:
The given equations are :
x+3y= 42 ....(1)
2x - y = 14 ...(2)
For elimination method,
Multiply the second equation by 3.
6x-3y=42 .....(3)
Adding equations (1) and (3).
x+3y+6x-3y=42+42
7x = 84
x = 12
Put the value of x in equation (1).
12+3y= 42
3y = 30
y = 10
So, x = 12 and y = 10. Hence, the correct option is (d).
what is the solution set of these system5x-2y=17 and 4x-7=13?
Answer:
x=5
y=4
Step-by-step explanation:
Step 1:
Let us solve for x using the [tex]4x-7=13[/tex] equation by isolating terms containing the variable:
[tex]4x-7=13\\4x=20\\\fbox{x=5}[/tex]
Great! x is 5... let's find y.
Step 2:
Since we know the value of x, we can use what we know to find y using the other equation:
[tex]5x-2y=17\\[/tex]
Given that x=5, we can replace x with 5.
[tex]5*5-2y=17\\25-2y=17\\2y=8\\\\\fbox{y=4}[/tex]
I hope this helps! Let me know if you have any questions :)
please help this is urgent
Write each function in vertex form.
State the coordinate of the turning point (vertex).
f(x) = x2 + 18x + 93
y = 3x2 - 66x + 368
g(x) = x2 - 12x + 45
5.
The cube root for three hundred and forty three is
Punca kuasa tiga bagi tiga ratus empat puluh tiga adalah
A. 343
B. 73
C. 3433
D. 7
D. 7
Hope this helps! :)
______________
Answer:
The cube root of 343 is 7.
Can you please help me with 10 and 11?
Answer:
Step-by-step explanation:
2/20 : 1/40 as a unit rate
Answer:
4 : 1
Step-by-step explanation:
To convert 2/20 : 1/40 to unit rate, we simplify the left side. So.
2/20 : 1/40 = 1/10 : 1/40
We now multiply both sides by 40.
So, 1/10 : 1/40 = 40 × 1/10 : 40 × 1/40 = 4 : 1
So, our unit rate is 4 : 1
Help me !! Use the image to complete the equation below
m angle APD.
Hope It's help you.
Step-by-step explanation:
yeah angle m is APD so yeah
If Albert owns x model airplanes and Maxim owns x + 13 model airplanes, then Albert and Maxim own___ model airplanes together. Albert owns ___ less model airplanes than Maxim.
Answer:
2x + 13
13
Step-by-step explanation:
Albert and Maxim own
x + (x + 13) = 2x + 13 model airplanes together
Albert owns
(x + 13) - x = 13 less model airplanes than Maxim.
Answer:
They own 2x+13 model airplanes together
Albert owns 13 less model airplanes than Maxim
add 8/9 + 7/9 Simplify the answer and write as a mixed number.
Answer:
[tex]1\frac{6}{9}[/tex]
Step-by-step explanation:
[tex]\frac{8}{9}+\frac{7}{9}[/tex]
[tex]\frac{8+7}{9}=\frac{15}{9}=1\frac{6}{9}[/tex]
What are the mensure of 1 angle and 2 angle? Show ur work or explain
Answer:
angle 1 = 105º
angle 2 = 75º
Step-by-step explanation:
angle 2 = 75º
corresponding angle to the 75º angle
angle 1 = 105º
it's supplementary to angle 2
180 - 75 = 105
factorize this equation . ײ-ײy²+×y
Answer:
x(x-x[tex]y^{2}[/tex]+y)
Step-by-step explanation:
Fred is five times as old as Grace. In eight years time, Fred will be three times as old as Grace. What are their ages?
Step-by-step explanation: in the question it is given that, Fred is five times as old as Grace, it means that the present age of Fred is 5 times the age of Grace. in the solution we have assumed Grace age to be X years. if Grace age is X years then the age of Fred is five times that of Greece age that is 5x years. now it is given in the question that in 8 years of time Fred's age will be three times as old as Grace. as it is given in the question as 8 years then it means that we have to add 8 years to both the present age of grace as well as Fred's age. now if we'll add 8 years in both grace age and frads age then it will be X + 8 years and 5 x + 8 years respectively. now it is said that in 8 years of time Fred's age will be three times of grace age. now to make it equal we have to put that three times in Grace age, so that three times of grace age will be equal to Fred's age. then you simply need to solve the equation As given in the solution then we will get X equal to 8. we have got Grace present age to be 8 years and Fred's present age to be 40 years uhmmmmmmmmmmmmmm i hope this hepls you do your work :D
Answer pleaseeeeee !!!
Answer:
B. Leg-Acute (LA)
E. Angle-Angle-Side (AAS)
Step-by-step explanation:
Congruence is the relationship between two or more shapes with respect to their common properties.
Comparing the properties of triangles LMN and OPQ, it would be observed that two angles are similar and one side.
So that the congruence theorems or postulates required are:
B. Leg-Acute (LA)
E. Angle-Angle-Side (AAS)
what is the proper seperation of factors for this equation ∛24n² × ∛36n²
Answer:
[tex]{ \tt{ \sqrt[3]{24 {n}^{2} } \times \sqrt[3]{36 {n}^{2} } }} \\ = { \tt{( {n}^{ \frac{2}{3} })( \sqrt[3]{864}) }}[/tex]