Answer:
(3, - 4 )
Step-by-step explanation:
Given the 2 equations
5x + 2y = 7 → (1)
4x + y = 8 → (2)
Rearrange (2) expressing y in terms of x by subtracting 4x from both sides
y = 8 - 4x → (3)
Substitute y = 8 - 4x into (1)
5x + 2(8 - 4x) = 7 ← distribute and simplify left side
5x + 16 - 8x = 7
16 - 3x = 7 ( subtract 16 from both sides )
- 3x = - 9 ( divide both sides by - 3 )
x = 3
Substitute x = 3 into (3) for corresponding value of y
y = 8 - 4(3) = 8 - 12 = - 4
solution is (3, - 4 )
What is the area of kite QRST? If necessary, round to the nearest tenth.
Answer:
Area of kite = 17 feet²
Step-by-step explanation:
Given:
For big triangle;
Length of base = 5.2 feet
Length of height = 2.5 feet
For small triangle;
Length of base = 1.6 feet
Length of height = 2.5 feet
Find:
Area of kite
Computation:
Area of kite = 2[Area of big tringle] + 2[Area of small triangle]
Area of kite = 2[(1/2)(b)(h)] + 2[(1/2)(B)(H)]
Area of kite = [(5.2)(2.5)] + [(1.6)(2.5)]
Area of kite = 13 + 4
Area of kite = 17 feet²
Please help pic is below!
Answer:
I cant explain it but I'm going to say 6 I haven't done this in a while but I say 6
WRITE THE RATIO: A cookie recipe calls for 1 cup of flour to make 24 cookies. Create a proportion to show how many cups of flour are needed to make 36 cookies
Answer:
1&(1/2) or 1.5 or 3/2 cups flour needed for 36 cookies
Step-by-step explanation:
Flour : Cookie ratio (Flour needed to make particular cookie) = 1 : 24
1 cup flour make 24 cookies, so 1/2 cup floor make 12 (half) cookies.
So, 1&(1/2) or 1.5 or 3/2 cups would make 24 + 12, ie = 36 cookies
AlternativelyMultiplying numerator & denominator of fractional ratio 1 : 24 with 1.5 each
(1 x 1.5) : (24 x 1.5)
It implies 1.5 : 36 flour cookie ratio
what is the length and width of a bedroom
Answer:
Well it depends on what your talking about because it could be a big room, small room, we dont know there is no numbers no nothing so sorry I cant help you
Step-by-step explanation:
What is angle m1, m2 and m3?
can some help me plz
Answer:
The answer is A.
Step-by-step explanation:
How does making a frequency table or line plot help you see which value occurs most often in a data set? NO LINKS
Answer:
DONT USE THE LINKKKKK
Step-by-step explanation:
i'll give you a brainliestt
If P and Q are two sets then n( P-Q) means ?
[tex]\huge{\mathbb{ \tt{ANSWER}}}[/tex]
I shall use the symbol U for union
^ for intersection
~ for complement
----------------------------------------------------------------------------------------------------
The property of set subtraction states that for any sets X and Y, X-Y = X ^ Y~
That is in words, X throw away Y is the same as the intersection of X and the complement of Y
or X and anything NOT in Y
At the SET level, the proof looks like this:
(P-Q) U (Q-P) = « given
(P^Q~) U (Q ^ P~) = « property of set subtraction
(P U Q) ^ (P U P~) ^ (Q~ U Q) ^ (Q~ U P~) = « distributive property
(P u Q) ^ (Q~ U P~) = « Union of any set with it's complement is the universal
set which gets dropped by any intersection of a non-universal set
(P u Q ) ^ (Q ^ P)~ = « De Morgan's Law
(P u Q) - (Q ^ P) = « property of set subtraction
(P u Q) - (P ^ Q) « commutative property
----------------------------------------------------------------------------------------------------At the ELEMENT level, the proof looks like this:
» Proves left side is subset of right side
If x is in (P-Q) U (Q-P) then x is in (P-Q) OR x is in (Q-P)
If x is in P-Q then x is in P but not in Q.
Then X is in P U Q.
Since x is not in Q, x is NOT in P ^ Q
Hence x is in P U Q but NOT in P^Q, which
means it is an element if (P U Q) - (P ^ Q)
Therefore x is an element of the set defined by the right side, which means (P-Q) U (Q-P) is a subset of (P U Q) - (P ^ Q)
« proves right side is subset of the left side
If x is an element of (P U Q) - (P ^ Q) then
x is in (P U Q) but NOT in (P^Q)
Since x is in P U Q, x is in P OR x is in Q.
Since x is NOT in (P^Q) then x is NOT in BOTH P and Q.
Hence x is in either P or Q but not both.
If x is in P, then x is not in Q, so x is in P-Q.
Therefore x is in (P-Q) U (Q-P).if x is in Q, then x is not in P, so x is in Q-P.Therefore x is in (Q-P) U (P-Q).There x is an element of set defined by the left side, which menas (P u Q)-(P ^Q) is a subset of (P-Q) U (Q-P).
#CarryOnLearning
#LetsEnjoyTheSummer
»X x K i m 0 2 x Xhello please help thanks
Answer:
its the first one !
Step-by-step explanation:
100 students participate in sport or music.60 participate in sports and 50 participate in music. How many students participate in both activities?Using Venn-diagram,find the number of students who participate only in music.
Answer:
since there's only 100 students how can 60 participate in sport and 50 participate in music, that must mean there is 110 students right?
A rectangle has vertices A(0, 0), B(0, 9), C(4, 9), and D(4, 0). What is the perimeter of the rectangle
Answer:
26 units
Step-by-step explanation:
A rectangle has vertices A(0, 0), B(0, 9), C(4, 9), and D(4, 0). What is the perimeter of the rectangle
We have to find the length of the sides of the rectangle using the formula below
= √(x2 - x1)² + (y2 - y1)² when given vertices (x1, y1) and (x2, y2)
For side AB
A(0, 0), B(0, 9)
= √(0 - 0)² + (9 - 0)²
= √0 + 81
= √81
= 9 units
For side BC
B(0, 9), C(4, 9)
= √(4 - 0)² + (9 - 9)²
= √4² + 0²
= √16
= 4 units
For side CD
C(4, 9), and D(4, 0)
= √(4 - 4)² + (9 - 0)²
= √0² + 9²
= √81
= 9 units
For side AD
A(0, 0), D(4, 0).
= √(4 - 0)² + (0 - 0)²
= √4² + 0
= √16
= 4 units
We can see than
AB = CD = 9 units
BC = AD = 4 units
The perimeter of a rectangle = 2(L + W)
From the above calculation
Length = 4 units
Width = 9 units
Perimeter = 2(4 + 9) units
= 2 × 13 units
= 26 units
What is the simplified version of Square root of 3÷512
Answer:
(1/32)√6
Step-by-step explanation:
Symbolically, this is
√(3/512) 3
which can be rewritten as √(-------------
2√256
The advantage of doing this is that 256 is a perfect square. We now have:
3 √3 √3√2 √6 √6
√(-----------) = ------------ = ------------ = ---------- = ----------
2(256) 16√2 16(√2)² 16(2) 32
Someone answer quick and right.
13points
Answer:
no
Step-by-step explanation:
How much is half of a full circle
Answer:
180 degrees? 360 degrees is a full circle
Step-by-step explanation:
If it took 4 hours to clean 10 houses, how many houses could be cleaned in 8 hours?
Answer:
20
(10 in 4) x 2
10 in 4 & 10 in 4
10 + 10
4 + 4
20 in 8
State True or False. Justify if the statement is False.
Charles Babbage introduced the concept of zero (0).
please answer fast
Answer:
false. very simple hope it helps
hellohello, this needs to be turned in tomorrow so if you could help, i would really appreciate it. :]
Answer: Im pretty sure it's true and is that Karl Jacobs as your profile pic if so i love it and i love him.
1 point
Emily is baking chocolate cupcakes. Each batch of cupcakes requires cups of cocoa. If Emily has 3
cups of cocoa, how many batches of cupcakes will she be able to make?
how many cups does she have? you didn't day
slove the following
equation without with out transporting I)5y +10=4y-10
The number of hamburgers, x, and the number of sodas,y, that shaquille can purchase with $12 is represented by the inequality 4x + 2y _<12. Which coordinate pair(s) (x,y) represent a possible number of hamburgers and sodas shaquille can purchase? Select all that apply
Answer:
there are many corridinate pairs. but the best ones can go from (3,0) to (0,6)
Step-by-step explanation:
any dot on this line should be a coordinate pair to represnt the possible numbers of hamburgers and sodas.
Given the data set of height (inches) for 12 students, calculate the mean: 60, 64, 66, 68, 70, 71, 72, 73, 78, 71, 65, 69
select all expressions that are equivalent to 3x - 2 (x - ) - 1
A.) -9 + x
B.) x + 7
C.) 3x - 2x - 8 - 1
D.) 3x - 2x + 8 - 1
Answer:
a
Step-by-step explanation:
Seventy-two percent of the shareholders in a service corporation are women. If the
corporation is owned by 12,000 people, how many shareholders are men?
Answer:
Super easy, 3360
Step-by-step explanation:
just multiply the total amount by the missing percentage and BOOM you got your answer
0.28 times 12,000 and boom problem solved
now go read a book
Find the sum of 7x + 3 and 4x2 -5.
Answer:
[tex]4x^2+7x-2[/tex]
Step-by-step explanation:
group like terms: [tex]4x^2+7x+3-5[/tex]
subtract 5 from 3: 3-5=-2
[tex]4x^2+7x-2[/tex]
A baseball has a diameter of 3.5 inches. Find the volume of the baseball. Round your answer to the nearest tenth. Use 3.14 for π. The volume of the baseball is about in3.
PLS HELP,, TIMED (SERIOUS ANSWERS PLS)
Which statement correctly interprets Limit of StartFraction 28 x minus 10 x squared Over 4 x squared minus 1 EndFraction as x approaches plus-or-minus infinity?
Answer:
D on ED
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Edge 2022
The 5-foot pole casts a shadow of 3 feet. The building casts a shadow of 12 feet. What is the height of the building?
Answer:
20 ft
Step-by-step explanation:
Because your are scaling the shadow by 4, you have to scale the height by 4
Answer: 20 foot tall.
Step-by-step explanation: the shadow of the pole is 3 feet. and the shadow from the building is 12 feet.
12 can be divided by 3, 4 times. we know for every 3 foot shadow, the actual object is 5 feet tall.
we just multiply 5 by 4 to get 20.
we can also check our work by dividing 3 by 5. this is 0.6.
then we divide 12 by 20. that is also 0.6.
hence that is the answer.
Find the value of the expression (3x – 12) - (xy - 10) for x = 3 and y = 6.
O 4
0 -3
0 - 4
-2
Step-by-step explanation:
answer is -11 after you simplifying
What is the circumference of a circle with a diameter of 40 in?
Answer:
126 in²
Step-by-step explanation:
C = πd when the diameter is known. If the diameter is 40 in, then the radius is half that, or 20 in.
Then the circumference of a circle with a diameter of 40 in is
C = (40 in)π. This works out to approximately 126 in²