Answer:
x = - [tex]\frac{7}{4}[/tex]
Step-by-step explanation:
Given
20x + 12 = 4x - 16 ( subtract 4x from both sides )
16x + 12 = - 16 ( subtract 12 from both sides )
16x = - 28 ( divide both sides by 16 )
x = [tex]\frac{-28}{16}[/tex] = - [tex]\frac{7}{4}[/tex] [ = - 1.75 ]
On a coordinate plane the vertices of a triangle are A(-1, 4), B(-3,2), and C(0, -1). Find the coordinates of the
midpoint of side AB.
A)
(3,-2)
B)
(-2,3)
(2, -3)
D)
(2, 1)
Answer:
B) (-2,3)
Step-by-step explanation:
Graph all your points. No count the distance from point A to B. divide in half .
Which term can be used in the blank of 36x3−22x2−__ so the greatest common factor of the resulting polynomial is 2x? Select two options. 2 4xy 12x 24 44y
Answer:
4xy and 12x
Step-by-step explanation:
In this question, we are to select which of the options to put into the blank space that will make the greatest common factor of the polynomial 2x. We are to select two options
Now, looking at the blank space, we should understand that , any answer we shall be choosing shall be an answer that contains x alongside the number.
This makes 24 and 44y out of the way.
Now let’s look at 4xy and 12x. Let’s insert them into the blank space;
36x^3-22x^2 - 4xy which gives : 2x(18x^2-11x-2y)
and 36x^3-22x^2-12x = 2x(18x^2-11x-6)
The reason why we will not use 44y and 24 is because 2x is not a factor of either.
Answer:
Answer:4xy and 12x
Step-by-step explanation:
The could both be a product of 2x
If s(x) = x - 7 and t(x) = 4x2 – X + 3, which expression is equivalent to (tºs)(x)?
Answer:
4x² - 57x + 206
Step-by-step explanation:
To evaluate (t ￮ s)(x), substitute x = s(x) into t(x) , that is
t(x - 7)
= 4(x - 7)² - (x - 7) + 3 ← expand (x - 7)² using FOIL
= 4(x² - 14x + 49) - x + 7 + 3
= 4x² - 56x + 196 - x + 10 ← collect like terms )
= 4x² - 57x + 206
A cube has a volume of 216 cubic inches. What is the length of each edge of the cube?
Volume of a cube = (edge)^3
In this problem,
Volume = 216in^2
Edge = ?
Let's plug our values into the formula above.
216in^3 = (edge)^3
Take the cbrt of both sides.
6in = edge
The length of each edge = 6in
Answer:
[tex]\boxed {\tt 6 \ centimeters}[/tex]
Step-by-step explanation:
The volume of a cube can be found using the following formula:
[tex]v=s^3[/tex]
where [tex]s[/tex] is the side length, or edge.
We know the volume is 216 cubic inches. We can substitute 216 cm³ in for [tex]v[/tex], the volume.
[tex]216 \ cm^3 = s^3[/tex]
We want to find the side length. Therefore, we must isolate the variable, [tex]s[/tex].
s is being cubed. The inverse of a cube is the cube root. Take the cube root of both sides of the equation.
[tex]\sqrt[3]{216 \ cm^3} =\sqrt[3]{s^3}[/tex]
[tex]\sqrt[3]{216 \ cm^3} =s[/tex]
[tex]6 \ cm=s[/tex]
The length of each edge of the cube is 6 centimeters.
Question: List the six comparison symbols.
I’m really bad at math
= < > ≥ ≤ ≠
I think there’s more but those are the basics
A golf ball is hit with a club from the ground on a flat surface. The height of the ball, h(t), in feet, t seconds, after it was hit can be modeled by the function h(t)=40t-16t2
Answer:
Step-by-step explanation:
The question is incomplete. Find the complete question a=below;
A golf ball is hit with a club from the ground on a flat surface. The height of the ball, h(t), in feet, t seconds, after it was hit can be modeled by the function h(t)=40t-16t2. After how many seconds does the golf ball strike the ground?
The ball strikes the ground when the height h(t) = 0. To get the time wen the golf ball strikes the ground, we will substiute h = 0 into the modeled equation and calculate t as shown;
h(t)=40t-16t2
0 h(t)=40t-16t2
40t-16t² = 0
add 16t² to both side
40t-16t²+16t² = 0+16t²
40t = 16t²
40 = 16t
divide both sides by 16
t = 40/16.
t = 2.5secs
Hence the golf ball hit the ground after 2.5secs
Answer:
when the ball is hit as 0 second it has a height of 0 feet (because it hasnt done anything yet). The ball's height increases until it reaches its maximum height of 40 feet after 1.25 seconds (40t= 2.5/2). The balls height then decreases until it reaches 2.5 seconds after it was hit.
can you plz help me with this question 2p=74
Answer:
p = 37
Step-by-step explanation:
divide 2 on both sides:
p = 37
Hope this helps!
Answer:
p=37
Step-by-step explanation:
74 ÷ 2 = 37
2×37 = 74
74 = 74
make me brainliest pls
(a) A color printer prints 16 pages in 9 minutes.
How many minutes does it take per page?
| minutes per page
6. Edward bought 23.4 pounds of potatoes and 26.1 pounds of carrots.
How many pounds of vegetables did he buy in all? *
O 49.5 pounds
O 50 pounds
O 50.5 pounds
O 63.3 pounds
Answer:
49.5 lbs.
Step-by-step explanation:
23.4 + 26.1 equals 49.5 pounds
Hopefully this helps you :)
pls mark brainlest ;)
If m/n = 3, what does 2n/m equal?
(Hard) A composite number n is called a Carmichael number bn−1 ≡ 1 (mod n) for every number b such ... Base case: When n = 2 the formula a + c ≡ b + d (mod m) was already given. ... The sequence goes 1, 3, 7, 15, 31,... guess that it is equal to 2n+1 − 1. ... Prove (now using induction on n) that fm|fmn for all n ≥ 1.
Answer:
That would be n[tex]\geq 1\\[/tex]
Step-by-step explanation:
Find the x-values for which f(x) = g(x)
if you know that f(x) = x2 and g(x) = 9.
Answer: X = 3
x2 = 9
x = 3
Step-by-step explanation:
All you have to do is divide!
Find the midpoint of the line segment joining the points (-1, -2) and (-3, 13).
The midpoint is
(Simplify your answer. Type an ordered pair)
A mid-point divides a line segment into 2 equal parts . Hence the line is divided in 1 : 1 ratio.
Let
x(1) = -1
y(1) = -2
x(2) = -3
y(2) = 13
So according to Section formula , cordinate of the mid - point (x' , y') =
[tex](x' , y') = ( \frac{ {x}^{1} + {x}^{2} }{2} , \frac{{y}^{1} + {y}^{2} }{2} )[/tex]
So using the formula & putting the values above
[tex]( \frac{ - 1 - 3}{2} , \frac{ - 2 + 13}{2} )[/tex]
[tex] = > ( \frac{ - 4}{2} , \frac{11}{2} )[/tex]
[tex] = > ( - 2 , 5.5)[/tex]
So the mid - point is (-2 , 5.5)
Which ratios are equivalent to 8 : 12? Select all that apply. A 4 : 6 B 12 : 8 C 16 : 20 D 24 : 36 E 56 : 84
Answer:
A, D, E
Step-by-step explanation:
like with division if you multiply the same thing on both sides it is still equal
The ratios are equivalent to 8 : 12 are A 4 : 6 , D 24 : 36 and E 56 : 84.
Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.
What is the ratio of two quantities?Suppose that we've got two quantities with measurements as 'a' and 'b'
Then, their ratio(ratio of a to b) a:b
We usually cancel out the common factors from both the numerator and the denominator of the fraction we obtained. Numerator is the upper quantity in the fraction and denominator is the lower quantity in the fraction).
Suppose that we've got a = 8, and b= 12,
[tex]a:b = 8 : 12\\\\ = \dfrac{8}{12} = \dfrac{2 \times 4}{2 \times 6} \\= \dfrac{2}{3} \\\\a : b = 2 : 3[/tex]
So, the ratios are equivalent to 8 : 12
A 4 : 6
D 24 : 36
E 56 : 84
Remember that the ratio should always be taken of quantities with same unit of measurement. Also, ratio is a unitless(no units) quantity.
Learn more about ratio here:
brainly.com/question/186659
#SPJ2
having problems with geometry homework, help me please
Answer:
[tex]XZ=146[/tex]
Step-by-step explanation:
Since [tex]M[/tex] is the midpoint of segment [tex]XZ[/tex]:
[tex]XM+MZ=XZ[/tex]
[tex]XM=MZ[/tex]
Identify your known values:
[tex]XM=2x+35\\MZ=5x-22\\[/tex]
Solve for [tex]x[/tex]:
[tex]2x+35=5x-22[/tex]
Subtract [tex]35[/tex] from both sides of the equation:
[tex]2x=5x-57[/tex]
Subtract [tex]5x[/tex] from both sides of the equation:
[tex]-3x=-57[/tex]
Divide by the coefficient of [tex]x[/tex], which is [tex]-3[/tex]:
[tex]x=19[/tex]
Substitute:
[tex]XM=2(19)+35\\MZ=5(19)-22[/tex]
Solve:
[tex]XM=73\\MZ=73[/tex]
Again, we know:
[tex]XM+MZ=XZ[/tex]
Therefore:
[tex]XZ=73+73[/tex]
Solve:
[tex]XZ=146[/tex]
What is 39,404,000 expressed in scientific notation?
Answer:
3.9404×10^7
Im not sure how to explain it.
A canoe rental service charges a transportation fee and $8 dollars an hour to rent a canoe. Mary and Joe rented a canoe for 6 hours, and the total cost for was $68.
Answer:
transportation fee= $20
Step-by-step explanation:
Giving the following information:
A canoe rental service charges a transportation fee and $8 an hour to rent a canoe. Mary and Joe rented a canoe for 6 hours, and the total cost was $68.
To calculate the transportation fee, first, we need to calculate the total rent cost for 6 hours.
Rent cost= 6*8= $48
Now, the transportation fee:
transportation fee= 68 - 48
transportation fee= $20
Joyce’s teacher asks her to write the sequence formed by the number of red squares in each picture for the first five pictures. What sequence should Joyce write?
Answer:
Joyce should write [tex]1,8,64,512,4096[/tex]
Step-by-step explanation:
Let's analyze the procedure of how the pictures are formed.
Her teacher said the images were created by taking a red square, dividing it into 9 smaller squares, and removing the center square.
For the first two images we can see and count that there is 1 red square in the first picture and 8 red squares in the second picture.
For the third image, there are 8 squares formed by 8 red squares each one.
The number of red squares is 8 x 8 = 64
We can write the sequence as
1 , 8 , 64 ⇒ 1 , 8 , [tex]8^{2}[/tex]
For the fourth picture we can do the same reasoning and figure out that there are 8 x 8 x 8 = 512 red squares in the fourth image.
The sequence so far is
1 , 8 , 64 , 512 ⇒ 1 , 8 , [tex]8^{2}[/tex] , [tex]8^{3}[/tex]
We can generalize the sequence and write that the sequence is :
[tex]8^{n}[/tex] with [tex]n[/tex] ∈ IN ⇒ The first five numbers will be
[tex]8^{0},8^{1},8^{2},8^{3},8^{4}[/tex] = [tex]1,8,64,512,4096[/tex]
the sum of two consecutive even number's is 66. find the numbers.
Answer:
[tex]32\ and\ 34.[/tex]
Step-by-step explanation:
Let x be the smaller number.
The next even number will be (x + 2).
[tex]x+x+2=66[/tex]
[tex]2x+2=66[/tex]
Subtract 2 from both sides:
[tex]2x+2-2=66-2[/tex]
[tex]2x=64[/tex]
Divide both sides by 2:
[tex]\frac{2x}{2}=\frac{64}{2}[/tex]
[tex]x=32[/tex]
The smaller number is 32.
Larger number [tex]=32+2=34[/tex]
Which set of angle measures could be the interior angles of a triangle? A. 15°, 48°, 27° B. 56°, 45°, 46° C. 42°, 84°, 64° D. 93°, 29°, 58°
Answer:
D. 93°, 29°, 58°
Step-by-step explanation:
In a triangle we can only have 3 Interior angles.
The sum of the Interior angles in a triangle = 180°
Adding up the given Interior angles in the above question:
A. 15°, 48°, 27°
= 15° + 48° + 27°
= 90°
90° ≠ 180°
Option A is wrong
B. 56°, 45°, 46°
= 56 ° + 45° + 46°
= 147°
147° ≠ 180°
Option B is wrong
C. 42°, 84°, 64°
= 42° + 84° + 64°
= 190°
= 190° ≠ 180°
Option C is wrong.
D. 93°, 29°, 58°
93° + 29° + 58°
= 180°
180° = 180°
Option D is the correct Option.
Therefore, the set of angle measures that could be the interior angles of a triangle is Option D. 93°, 29°, 58°
two integers with different signs that have the sum of -25
Answer:
When adding integers with the same sign, the sum is equal to the sum of the absolute values of each addend and has the sign common to the addends. Both addends are positive, so the sum is positive. Both addends are negative, so the sum is negative
Step-by-step explanation:
1. Given that point M is the midpoint of AC , find the coordinates of the missing
endpoint when you are given one endpoint and the coordinates of the midpoint.
M(-2, 2) and A(2,8)
Given:
Coordinates of point A are (2,8).
Point M(-2,2) is the midpoint of AC.
To find:
The coordinates of C.
Solution:
Let the coordinates of point C are (a,b).
Formula for midpoint:
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
Using the above formula, the midpoint of A(2,8) and C(a,b) is
[tex]M=\left(\dfrac{2+a}{2},\dfrac{8+b}{2}\right)[/tex]
[tex](-2,2)=\left(\dfrac{2+a}{2},\dfrac{8+b}{2}\right)[/tex]
On comparing both sides, we get
[tex]\dfrac{2+a}{2}=-2[/tex]
[tex]2+a=-4[/tex]
[tex]a=-4-2[/tex]
[tex]a=-6[/tex]
and,
[tex]\dfrac{8+b}{2}=2[/tex]
[tex]8+b=4[/tex]
[tex]b=4-8[/tex]
[tex]b=-4[/tex]
Therefore, the coordinates of point c are (-6,-4).
A passenger car weighs 4.5x10 units. Which unit of measure was used? grams ounces O pounds 0 tons
Answer:
C, pounds
Step-by-step explanation:
grams and ounces are automatically out because they just don't make sense, and a car can't weigh 4500 tons, it would be too heavy to drive.
hope this helps!!!
Write 43% as a decimal.
Answer:
0.43
Step-by-step explanation:
It's easy if you think of 43% as a decimal if you base it off 100. For example lets write a fraction about it: [tex]\frac{43}{100}[/tex]. A decimal you can think of the same way. 0.43 is the same as saying 43% of 100 or 43/100.
Dana has 2 more sweets than dhabia, dhabia has double the amount of sweets than ameera. Translate this sum into an algebraic expression.
Ammera's sweet= A
Dhabia's sweet= B
Dana's sweet= C
Ax2=B+2=C
Jan joined the dining club at the local cafe for a fee of $29.95. being a member entitles her to save $2.50 every time she buys lunch. so far, Jan calculates that she has saved a total of $12.55 by joining the club. write and solve an equation to find out how many times Jan has eaten lunch at the cafe
Answer:
17 lunches
Step-by-step explanation:
please help! I'm not really sure what the answer is.
Answer:
The Answer is B (2x[tex]10^{9}[/tex],7x[tex]10^{-1}[/tex],8x[tex]10^{-8}[/tex],9x[tex]10^{-9}[/tex])
Step-by-step explanation:
It is the largest to smallest.
Pls help plssssssssss
Answer:
Step-by-step explanation:
Hi!
I already solved it here.
https://brainly.com/question/17314856
Bill eats 3 slices of cornbread for breakfast that contain a total of 543 calories. How many
calories does each slice contain?
Can someone help me with this please
Answer:
1
Step-by-step explanation:
[tex]11 {x}^{2} = 1 \times 11 \times x \times x \\ 4 {a}^{3} = 1 \times 2 \times 2 \times a\times a \times a \\ common \: factor = 1 \\ \therefore \: GCF \: of \: 11 {x}^{2} \: and \: 4 {a}^{2} = 1[/tex]
(-5, 4) and (4,1)
What is the distance between the two points rounded to the nearest tenth
Answer:
AB=9.49
Step-by-step explanation:
plz mark as brainliest if it helps