Answer: k = 3
Step-by-step explanation:
Answer:
k=3
Step-by-step explanation:
26=6k+8-6+2k
combine all common integers from the same side, (8-6) and (6k+2k).
8-6=2
6k+2k=8
Which now translates the equation to 26=8k+2.
26=8k+2
continue by moving the (2) to the other side, do so by subtracting 26-2.
26-2=24
24=8k
Lastly, move the 8 to the other side of the equation by dividing 24/8.
24/8=3
Therefore, k=3
What is the constant of proportionality in the equation y = 0.41x?
Answer:
0.41
Step-by-step explanation:
because its 0.41 it cant be reduced or messed with so your answer is 0.41
5. Two-fifths of a number is -26. Find the number.
Answer:
x = -65
Step-by-step explanation:
To start off, we can create our equation. We know that "of" is just another word for multiply. We will then end up with [tex]\frac{2}{5}[/tex] * x = -26. To solve this equation, we will find [tex]\frac{2}{5}[/tex] of -26. To make things less confusing, lets take away the negative for now. 26 x 5 = 130 and 130 ÷ 2 is 65. We then add our negative back on and x = -65.
please help! the approximate path of a projectile launched from 100 m above the ground is given by f(×)= -5×^2+40+100, where f(×) represents the height × seconds after it is released into the air. use the info to answer the questions below. 1. what is the factored form of the equation? 2 how long will it take the projectile to reach the ground?
Answer:
Part 1) [tex]f(x)=-5(x-10)(x+2)[/tex]
Part 2) After 10 seconds.
Step-by-step explanation:
We have the function:
[tex]f(x)=-5x^2+40x+100[/tex]
Where f(x) represents the height x seconds after it is released into the air.
Part 1)
First, let's distribute a -5 out of the function:
[tex]f(x)=-5(x^2-8x-20)[/tex]
Now, let's factor. We want to pick two number that multiplies to -20 and adds to -8.
We can use -10 and 2. So:
[tex]f(x)=-5(x^2+2x-10x-20)[/tex]
Factor:
[tex]\begin{aligned}f(x)&=-5(x^2+2x-10x-20) \\ f(x)&=-5(x(x+2)-10(x+2)) \\ f(x)&=-5(x-10)(x+2) \end{aligned}[/tex]
Hence, our factored form is:
[tex]f(x)=-5(x-10)(x+2)[/tex]
Part 2)
We want to find after how many seconds does it take for the projectile to reach the ground.
If it reaches the ground, the height above the ground, f(x), will be 0.
So, we can set f(x) equal to 0 and solve for x. Instead of using the original equation, we can use the factored form. So:
[tex]0=-5(x-10)(x+2)[/tex]
Zero Product Property:
[tex]x-10=0\text{ or } x+2=0[/tex]
Solve for x:
[tex]x=10 \text{ or } x=-2[/tex]
Since x measures time, -2 does not make sense in this context.
Therefore, our solution is x=10.
So, after 10 seconds, the projectile will hit the ground.
A license plate is made of three letters and three numbers. How many different license plates are possible? (Recall there are 26 letters in the alphabet and 10 single digit numbers 0-9).
Using the permutations formula, it is found that: 11,232,000 different license plates are possible
----------------------------------------------------
The order in which the letters and the numbers appear is important(123ABC is a different plate than A123BC), which means that the permutations formula is used to solve this question.
----------------------------------------------------
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
----------------------------------------------------
In this question:
3 letters from a set of 26.3 digits from a set of 10.Thus:
[tex]T = P_{26,3}P_{10,3} = \frac{26!}{23!}\times\frac{10!}{7!} = 11,232,000[/tex]
11,232,000 different license plates are possible
A similar problem is given at https://brainly.com/question/16812463
What is the ratio of green stars to red stars? 4 green stars and 6 red stars
Answer:
2:3
Step-by-step explanation:
we have 4 green stars
and six red stars
as a ratio, it's
4:6
simplified
2:3
what is the solution for 36.16=17.56+5x
Answer:
x=3.72
Step-by-step explanation:
Answer: x = 3.72
Step-by-step explanation:
36.16 = 17.56 + 5x
-17.56 = -17.56
18.6 = 5x
Divide 18.6 by 5 and divide 5 by 5.
3.72 = x
Please help :)Please help :)Please help :)
Answer:
the first one is correct
Step-by-step explanation:
If TV and Wý are parallel lines and m<TUX = 122°, what is m<VUS? HELP ASAP
Answer:
m∠VUS = 122
Step-by-step explanation:
m∠TUX = 122°
∴m∠VUS = 122°(vertically opposite angles are equal)
hope this helps you!!
The solution is, m∠VUS = 122
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
We know that, a ray is a line that continues on forever inn one direction with a point at it's start.
here, we have,
from the diagram, we get,
m∠TUX = 122°
∴m∠VUS = 122°
(vertically opposite angles are equal)
Hence, The solution is, m∠VUS = 122.
To learn more on angle click:
brainly.com/question/28451077
#SPJ2
I need to know the value of X and how to get the value of X.
Answer:
2
Step-by-step explanation:
take three off.
x+x=4
2x=4
x=2.
Hope this helps :D
Help please, thanks :)
Answer:
60°
Step-by-step explanation:
Angle 1 is a vertical angle to 60° by the definition of a vertical angle.
Answer:
∠1 = 60°
Step-by-step explanation:
Find the value of x. X=
Answer:
109°
Step-by-step explanation:
there are two ways to slove this kind of questions.
simply,x = 64 + 45
or x = 180-(180 - 64- 45)
Mia bought 8 copies of the same book. She spent $32.
What was the cost of one book?
Answer:
rhe cost of one book was $4. 32/8=4
Step-by-step explanation:
32÷8=4 so mia spent 4 dollars
Can someone please help me with this and show work as well
Graph △ABC with vertices A(–6, 1), B(–3, 3), and C(–1, 0) and its image after the glide reflection.
Translation: (x, y) ---> (x + 1, y)
Reflection: (x, y) ----> in the x-axis
Help please it's for a test!!
Answer:
Translation: (x, y) ---> (x + 1, y)
Reflection: (x, y) ----> in the x-a
can someone help me
Answer:
16.25
Step-by-step explanation:
6.5 + 5 = 32.5/2 = 16.25
Solve this problem.
Don't answer if you don't know. NO IMPROPER ANSWERS.
Answer: 9.
Step-by-step explanation: First take 6 and divide it by 2, and then multiply by 3. This gets to the correct answer of 9.
Answer: The answer is 9.
Step-by-step explanation: First I take 6 divided by 2 and then I multiply by 3 to get the correct answer of 9. Or I could show you an equation that looks like this from: 6÷2(1+2) to 3*3=9; therefore, 1 is incorrect answer because it has an order of operations and 9 is the correct answer because it doesn’t have an order of the operations. I hoped this helps you! :D
Kevin ate 2/3 of a pizza and Louisa ate 1/12 of the same pizza. How
much pizza is left? *
Answer:
7/12
Step-by-step explanation:
multiply 2/3 by 4 on both the numerator and denominator which is 8/12
8/12-1/12=7/12 (final answer because it cannot be simplified)
If there are 420 students surveyed, which equation can be used to find the number of students s who prefer rap? Pop: 5/8 Jazz: 1/8 Rap: 1/4 Answers: A. 1/4s = 420 B. S = 1/4 * 420 C. S + 1/4 = 420 D. 420 + s = 1/4
Answer:
B. [tex]s=\dfrac{1}{4}\times420[/tex]
Step-by-step explanation:
Total number of students surveyed = 420
Of which only [tex]\dfrac{1}{4}[/tex] prefer rap.
So, the number of people who like rap is the product of the fraction of people who prefer rap and the total number of students.
[tex]\text{Number of students who prefer rap}=s=\dfrac{1}{4}\times420\\\Rightarrow s=105[/tex]
The number of students that prefer rap is 105
So the equation is [tex]s=\dfrac{1}{4}\times420[/tex].
does anyone know the answer to this? will give brainliest
Answer: a
Step-by-step explanation:
Answer:
the answer is d. it is written in scientific notation.
Step-by-step explanation:
have a nice day!
Find 3/7 • 9/10 as a fraction
Answer:
27/70
Step-by-step explanation:
This is simple: First, you multiply the numerators. 3x9 is 27. That is the numerator to your answer.
Next, you multiply the denominators. 7x10 is 70. That's the denominator to the answer.
Put them together and you get 27/70.
Hope I helped!!!
Quadrilateral JKLM was dilated according to the rule
DO,One-half(x,y)(one-half x, one-half y) to create the image quadrilateral J'K'L'M', which is shown on the graph.
On a coordinate plane, quadrilateral J prime K prime L prime M prime has points (0, negative 2), (3, 2), (6, negative 2), and (3, negative 6).
What are the coordinates of vertex J of the pre-image?
(0, -4)
(0, -1)
(0, 0)
(0, 4)
Answer:
b is the answer
Step-by-step explanation:
please help fast :(
A box contains five $1 bills, three $5 bills, one $10 bill and one $20 bill. Construct a PROBABILITY DISTRIBUTION for the data and DRAWA GRAPH. (Take a picture and submit with the test when you are done)
Answer:
Step-by-step explanation:
yes
The table shows the height of water in las pool as it is
being filled
Height of Water in a Pool
Time
(min)
2
4
6
8
10
Height
(in.)
8
12
16
20
24
The slope of the line through the points is 2. Which
statement describes how the slope relates to the height
of the water in the pool?
O The height of the water increases 2 inches per
minute
O The height of the water decreases 2 inches per
minute.
O The height of the water was 2 inches before any
water was added
The height of the water will be 2 inches when the
pool is filled
2x≤3x+2≤x+6 please could you answer this question
Which three lengths
cannot be the lengths of
the sides of a triangle?
a) 13, 11, 14
b) 17,5, 10
c) 21, 16, 14
d) 8, 9, 14
Answer:
B)
Step-by-step explanation:
You need to add the first 2 numbers and the answer needs to be bigger than the third number and if you add 10 + 5 will be 15 and the third number is 17, so the answer of this is the B
can you guys please help me with this and fast?
∛125?
Answer:
5
Step-by-step explanation:
125 breaks down into 5×5×5, which proves that it's 5.
Answer:
5 is the right answer
Step-by-step explanation:
On a recent day eight-year-olds were worth $11 and €32 where where is $44. Enter an equation of the Fort on a recent day eight euros worth $11 and €32 were where is $44. Enter an equation of the form Y equals KX to show the relationship between the number of euros and the value in dollars. Let why is a value in dollars and XB the number of euros
Answer:
sry
Step-by-step explanation:
i am new to this
174 i think
Answer:
174
Step-by-step explanation:
Delilah and a group of friends had excellent service at a restaurant. They would like to give the server a 25 percent gratuity on their $140 bill.
Answer:
Here we want to calculate the 25% of $140.
Well, first we assume that:
$140 = 100%.
Now, assuming that, we can write the equation:
X = 25%
Where X is the 25% of $140.
Then we have the equations:
$140 = 100%
X = 25%
Let's take the quotient between these equations:
$140/X = (100%/25%)
Now let's solve this for X:
X = (25%/100%)*$140 = 0.25*$140 = $35
Then the tip will be of $35
35
you have to split 140 into 4 parts which is division
your expression would be 140 divided by 4
please help , picture above!
Answer:
The Slope of the hypotenuse of triangle ABC is equal to the slope of the hypotenuse of triangle CDE
Step-by-step explanation:
AE is a continuous line with consistent slope.
AC is a segment of this line and is the hypotenuse of triangle ABC.
CE is also a segment of AE and is the hypotenuse of triangle CDE.
Hope this helps.
LaShawn solved the equation below to the determine the solution. 3 x minus 8 = negative x + 4 (x minus 2) How many solutions does LaShawn’s equation have? zero one two infinitely many
Answer: D
D-infinitely many
Step-by-step explanation:
Took the Analyzing Solutions quiz on Edge 2020
Answer: D
D-infinitely many
Step-by-step explanation:
Edge 2020