Three consecutive integers have a sum of 30. Which equation can be used to find x, the value of the smallest of the three numbers? (x + 1) + (x + 2) = 30 x + (x + 1) + (x + 2) = 30 x (x + 1) (x + 2) = 30 3 x (x + 1) (x + 2) = 30
Answer:x + (x +1) + (x +2)= 30.
Step-by-step explanation:Consecutive means one right after the other--such as 4,5,6. So the sum (add all the numbers together) must equal 30. So the equation should read
Hope this helps!
Answer:
The Answer is Option 3
Step-by-step explanation:
I got it right edge 2022
PLEASE HELP!!
Find the equation of the line that is perpendicular to the line
6x – 4y = 3 and passes through the point (6,-1).
(a) Find the slope of the given line 6x – 4y = 3.
(b) What is the slope of a line that is perpendicular to the above line?
(c) Now, find the equation of the perpendicular line that passes through (6,-1).
Answer:
a). y = 3/2x - 3/4 b).-2/3 c).y = -2/3x + 3
Step-by-step explanation:
a). 6x – 4y = 3
-4y = -6x + 3
y = 3/2x - 3/4
- The slope is 3/2.
b). The slope of a perpendicular line would be the opposite: -2/3
c). y = -2/3x + b
-1 = -2/3(6) + b
-1 = -4 + b
3 = b
y = -2/3x + 3
equation a. 100x-10x+270=5670
Answer:
60
Step-by-step explanation:
90x + 270= 5670
90x=5670-270
x=5400÷90
x=60
Answer:
x = 60
Step-by-step explanation:
1) 100x - 10x + 270 = 5670
2) 100(60) - 10(60) + 270 = 5670
3) 6000 - 600 + 270 = 5670
4) 5400 + 270 = 5670
5) 5670 = 5670
All I really did was input random numbers for the value of "x", then add 270 at the end of an equation. If that method works for me, it should work for everyone, including you.
Hope this helped buddy!
Write an algebraic expression that represents
“8 minus the quantity b divided by 6.”
Please help!!!I don’t know this
Step-by-step explanation:
I guess we are only talking about quadratic functions/equations here.
the world is not unified regarding what is the standard form of a quadratic equation.
but let's assume your teacher means
standard form
f(x) = y = ax² + bx + c
vertex form
f(x) = y = a(x - h)² + k
so, we are using the provided x, y coordinates to get a, b and c.
3.75 = a×0.125² + b×0.125 + c
3 3/4 = a×(1/8)² + b×(1/8) + c
15/4 = a/64 + b/8 + c
15×16/64 = a/64 + 8b/64 + 64c/64
=> 240 = a + 8b + 64c
4 = a×0.25² + b×0.25 + c
4 = a×(1/4)² + b×(1/4) + c
4 = a/16 + b/4 + c
4×16/16 = a/16 + 4b/16 + 16c/16
=> 64 = a + 4b + 16c
3 = a×0.5² + b×0.5 + c
3 = a×(1/2)² + b×(1/2) + c
3 = a/4 + b/2 + c
3×4/4 = a/4 + 2b/4 + 4c/4
=> 12 = a + 2b + 4c
we have now from the third equation
a = 12 - 2b - 4c
we put this into the second equation
64 = (12 - 2b - 4c) + 4b + 16c = 12 + 2b + 12c
32 = 6 + b + 6c
26 = b + 6c
b = 26 - 6c
and therefore
a = 12 - 2(26 - 6c) - 4c = 12 - 52 + 6c - 4c = 2c - 40
this a and b we use now in the first equation
240 = (2c - 40) + 8(26 - 6c) + 64c =
= 2c - 40 + 208 - 48c + 64c = 18c + 168
72 = 18c
c = 4
b = 26 - 6×4 = 26 - 24 = 2
a = 12 - 2×2 - 4×4 = 12 - 4 - 16 = -8
so, the standard form is
f(x) = y = -8x² + 2x + 4
the vertex form
we get this by transforming the standard form.
e.g. by competing the square :
y - 4 = -8x² + 2x = -8(x² - x×1/4)
y - 4 -8×(1/8)² = -8(x² -x×1/4 + (1/8)²)
y - 4 - 8/64 = -8(x - 1/8)²
y - 32/8 - 1/8 = -8(x - 1/8)²
y - 33/8 = -8(x - 1/8)²
y = -8(x - 1/8)² + 33/8
HELP PLS THIS IS IMPORTANT
Answer:
0.5 miles
Step-by-step explanation:
P(1,3) A(6,6) B(7,1)
PA = √(6-1)²+(6-3)² = √34 = 5.83
PB = √(7-1)² + (1-3)² = √40 = 6.32
PB-PA = 6.32 - 5.83 = 0.49 ≈ 0.5
what is a bar plot, and what do the vertical lines on a bar plot represent?
Answer:
If you know what a graph looks like, then it is similar looking if not almost the same. The vertical lines represent what ever your x value is, in example the number of toys you have to how much they cost(ed) your x value would be the number of toys you have.
Step-by-step explanation:
Answer: a bar plot is a type of graph. The vertical lines shows the amount/data.
May contain dates that show how many each day, month, year.
The way most teachers show this is with what people prefer like, favorite color, food, etc...
Step-by-step explanation:
This year, lashonda watched 85 movies. She thought that 34 of them were very good. If the movies she watched, what percentage did she think were very good
Answer:
40 percentage
Step-by-step explanation:
sana makatulong I'm not sure
Which situation BEST represents the equation below?
d!
john (y) is (2.5) times as big as his brother sam (x)
hope this helps
Solve for x: 3 - (2x - 5) < -4(x + 2) (1 point)
X<-8
O x>-3
X<-3
O
X-8
Answer:
4
Step-by-step explanation:
Answer:
i think its the first one i hope this helps
Step-by-step explanation:
How do i work out 91=5k+6
Step-by-step explanation:
91=5k+6
91-6=5k
85=5k
k=85/5
k=17.
hope this helps you, Ro'shanea..!
guys pls help me!!!!!!
someone help me pleasw
[tex] \bf \underline{Solution-} \\ [/tex]
[tex] \sf{ \sqrt[3]{ - 216} } \\ [/tex]
[tex] = \sf{ \sqrt[3]{ \bigg( \frac{1}{216} \bigg)} } \\ [/tex]
[tex] = \sf{ \sqrt[3]{ \bigg( \frac{1}{6} \bigg)^{3} } } \\ [/tex]
[tex] \sf{ = \bigg( \frac{1}{6} \bigg) ^{ \cancel3 \times \frac{1}{ \cancel3} } } \\ [/tex]
[tex] \sf = \bigg( \frac{1}{6} \bigg)^{1} \\ [/tex]
[tex] \sf = \frac{1}{6} \: \: \: \: Ans. \\ [/tex]
Anyone, please help I really need to know ?
A square pool has a volume of 1728
cubic feet and a depth of 3 feet. A 4.5
feet high fence will be built around the
pool and the materials used to build the
fence cost $4.50 per square foot. How
much will it cost to build this fence?
Answer:
Step-by-step explanation:
Area of square = (Length of side)
2
By putting the given values, we have:
1728
=
(length of side)
2
×
8
Solve for length of side,
Length of side of square base of pool =
√
1728
8
=
12
f
e
e
t
This gives us the dimensions around the pool, which is 18.73ft for each side. Thus, each side will be
12
×
3.5
f
e
e
t
2
of area, which equals
42
f
e
e
t
2
.
You have
4
sides to enclose the pool multiply this area by four, and you arrive at the square feet surrounding the pool:
42
×
4
=
168
f
e
e
t
2
What addition statement is shown?
Answer:
-3 + 5 = 2
Step-by-step explanation:
The value of the arrow on the numer line increased by 5 which resulted in a positive number which is 2.
pls need an answer
will give briainliest
5x+4y=24 plus 2x−7y=56 What is the answer
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Let's solve :
[tex]5x + 4y + 2x - 7y = 24 + 56[/tex]add the like terms :
[tex]7x - 3y = 80[/tex]what is the upper bound and lower bound for 35.7
Answer:
tried.. sry if it is wrong...
Step-by-step explanation:
some examples for u..
Mark me the Brainliest..PLS
y is directly proportional to the square of x y=9 x=4 it can be shown that y=6x^2 work out the value of y when x=7
Answer:
the answer is 294
Step-by-step explanation:
1. Please help me with this problem I will give you the brain thing and extra points
Which equation in standard form has a graph that passes through the point (0, -5) and has a slope of 3/4?
A)3x + 4y = -20
B)3x - 4y = 20
C)4x + 3y = 20
D)4x - 3y = -20
Answer:
B) 3x - 4y = 20
Step-by-step explanation:
We can eliminate C and D since 4(0) + 3(-5) = -15 (not 20) and 4(0) - 3(-5) = 15 (not -20)
Now we will determine the slopes for A and B to see which one is correct:
A) 3x + 4y = -20 -> 4y = -20 - 3x -> y = -5 - 3/4x -> y=-3/4x - 5 (not right)
B) 3x - 4y = 20 -> -4y = 20 - 3x -> y = -5 + 3/4x -> y = 3/4x - 5 (right)
Therefore, B is correct since the slope is 3/4 and passes through (0,-5)
Which postulate or theorem
proves that these two triangles are congruent?
A) HL Congruence Theorem
B) AAS Congruence Theorem
C) SAS Congruence Postulate
D) ASA Congruence Postulate
Answer:
C
Step-by-step explanation:
Express the product of (x + 1) and (3/2x+5/3)as a trinomial in simplest
form.
The product of the given expression (x + 1)(3/2x+5/3) is 3/2x² + 29x/6.
What are mathematical operations?A mathematical "operation" is the process of calculating a value using operands and a math operator.The supplied numbers or operands must follow specific guidelines associated with the math operator's symbol.Arithmetic operators perform the operations of addition, subtraction, multiplication, division, exponentiation, and modulus.So, (x + 1)(3/2x+5/3):
Now, solve as follows:
(x + 1)(3/2x+5/3)x(3/2x+5/3) + 1(3/2x+5/3)3/2x² + 5/3x + 3/2x + 5/33/2x² + 2(5)x + 3(3)x + 2(5)x/63/2x² + 10x + 9x + 10x/63/2x² + 29x/6Therefore, the product of the given expression is 3/2x² + 29x/6.
Know more about mathematical operations here:
brainly.com/question/20628271
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Hikers walk 3 miles east and then 2 miles north and take a water break. They continue
hiking 4 miles east and a final 2 miles south to their destination. What single
transformation took place from their starting position to their final destination? Use
mathematical language and create a graphic to explain your answer. Be sure to use a
straight edge and grid paper for your graphic to represent this problem.
The single transformation that took place from their starting position to their final destination is (x, y) ⇒ (x + 7, y)
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
Translation is the movement of a point either up, down, left or right in the coordinate plane.
Hikers walk 3 miles east and then 2 miles north and take a water break. Hence:
(x, y) ⇒ (x + 3, y + 2)
They continue hiking 4 miles east and a final 2 miles south to their destination:
(x, y) ⇒ (x + 3 + 4, y + 2 - 2) ⇒ (x + 7, y)
The single transformation that took place from their starting position to their final destination is (x, y) ⇒ (x + 7, y)
Find out more on transformation at: https://brainly.com/question/4289712
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ASAP please
please I need the answer with explanation I will mark brainiest if nonsense answers I will report
y = 110
X = 80
angle b is the same value as y so the value of that is 110
Kite total angle must be 360 so if you add 110+110+60 will give you 280. Minus that with 360 will give you X which is 80.
plz help me i need help
Answer:
its sooo far
Step-by-step explanation:
aka i cant read
The Sears Tower in Chicago is 1,454 feet tall. It is 204 feet taller than the Empire State Building in New York City. Use the equation e + 204 = 1,454 to find the height of the Empire State Building
PLS HELP WILL MARK YOU BRAINLIEST NO FAKE ANSWERS
a air balloon is at a height of 2,520 feet. it begins to descend at the rate of 140 feet per minute.
2. Find the expression for 2,5,8,10,15 minutes
Step-by-step explanation:
just think a little bit.
the balloon goes down 140 feet per minute.
how many feet will it have descended after 2 minutes ?
twice as much, right ?
after 5 minutes ? 8 minutes ? 10 minutes ? 15 minutes ?
we have to multiply.
simply because we need to maintain the value of the ratio feet/minute at all times.
so, when we multiply the "minute" part (by saying e.g. 5 minutes), we need to multiply the "feet" part with the same factor to keep the overall ratio the same. and then the resulting "feet" part gives us the answer.
so, after 2 minutes that means
140 ft / 1 min × 2/2 = 280 ft / 2 min
=> it descended 280 ft.
so, it's height is then at that moment
2520 - 280 = 2240 ft
5 minutes
140 ft / 1 min × 5/5 = 700 ft / 5 min
=> it descended 700 ft.
so, it's height is then at that moment
2520 - 700 = 1820 ft
and so on.
we see, that the general equation to determine the actual height (h) of the balloon depending on the passed number of minutes (m) is then
h = 2520 - 140m
so
2520 - 140×2 = 2240 ft
2520 - 140×5 = 1820 ft
2520 - 140×8 = 1400 ft
2520 - 140×10 = 1120 ft
2520 - 140×15 = 420 ft
Rey collected Three glasses of colored marbles.The first glass bas 27 red marbles the second one 36 green marbles and the third has 54 blue marbles he set the marbles into a set of boxes of each kind. What is the greatest number of marbles that he can put equally inside eaxh box
What is Asked:
What is Given:
What is operation:
What is number sentence:
What is Solution:
Check and look back:
■. What is asked: It asks us to find out the greatest number of marbles that rey can put equally inside each box.
■. What is it's Solution:
Before, i will start the solution first you shall need to know about, what is GCF ?GCF stands for the Greatest common factor. Now, i shall ask you: What is the GCF of 36 and 60. The ans will be: 12. How did i get answer 12 ? For that, find the factors of both numbers 36 and 60. then for finding GCF, multiply those factors which are common in both 36 and 60. ( See in the above attachment )■. Now the Solution Starts:
Find the GCF of 27, 36 and 54. ( See in my right side of the attachment ).You will find the GCF = 9. That means, 9 is the greatest number of marbles that he can put equally inside each box.Hence, the required ans: 9.Things you should know about:
What is HCF, GCD ( or GCF ) and LCF ? ( in my answer, I had explained GCF ).Don't confuse that HCF and GCF are same. HCF is mathematical term used in British English ( UK ) and GCF is also a mathematical term similar to HCF used in American English ( USA ). HCF = Highest Common Factor, GCF = Greatest Common Factor and LCF = Lowest Common Factor.If you find anymore doubts regarding on my answer. then plz send your queries to the comment section. i will help you ;))
I missed days when they were teaching this help pls will mark brainliest