The answer is -3/2. ( I used the formula y/x)
Paulo is buying tennis balls that are on sale for 5% off. He uses the expressions t − 0.05t to determine the sale price of the tennis balls. What is an equivalent expression that Paulo could also use to determine the sale price?
Answer:
0.95t
Step-by-step explanation:
Given expression:
t − 0.05t
The equivalent expression could be found by factorizing the expression
t − 0.05t
= t ( 1 - 0.05)
= t (0.95)
= 0.95t
Check
When t = 2
t − 0.05t
= 2 - 0.05(2)
= 2 - 0.1
= 1.9
When t = 2
0.95t
= 0.95(2)
= 1.9
Therefore, the equivalent expression to t − 0.05t is 0.95t
A real horse is 1.8 m high. A statue of the horse is 3 m high. What is the ratio of the height of the horse to the height of the statue
What is the domain of f(x)= (1/3)^x
O A. All real numbers
O B. x>0
O C. x< 0
O D. y > 0
Answer:
All real values
Step-by-step explanation:
Given
[tex]f(x) = (\frac{1}{3})^x[/tex]
Required
Determine the domain
The domain of a function are the values of x that makes the function to be defined.
From the given function, we can see that no single value of x will make the function become undefined.
Hence, the domain is:
x = (-∞, +∞)
In other words, the domain implies that all real numbers.
Hence:
Option (A) answers the question.
Write the number in scientific notation
307,000,000
Answer:
3.07×10^8
Step-by-step explanation:
:)
hope this helps
Answer: 307,000,000 in scientific notation is 3.07 × 10^8.
In a school with 400 students, a random sample of 40 students were asked which fruit is their favorite. Their responses are shown below.
Apple - 10
Banana - 12
Peach - 8
Pear - 6
Strawberries - 4
Using proportional reasoning, about how many students in the school would you expect to select an pear as their favorite fruit?
Answer:
60
Step-by-step explanation:
divide 400 by 40 you get the answer 10
now multiply 6 by 10 you get the answer 60 thats is the total pear fruit
The screen on Brianna's new phone is 2.65 cm. Long. What mixed number represents the length of the phone screen ?
Answer:
2 13/20 cm
Step-by-step explanation:
The screen on Brianna's new phone is 2.65 cm. Long. What mixed number represents the length of the phone screen ?
From the above question, we are converting, from decimal to mixed number , hence:
2.65 has 2 decimal places
Hence:
2.65 cm = (265/100)cm
= ( 2 + 65/100) cm
= ( 2 13/20 )cm
The mixed number that represents the length of the phone screen is 2 13/20 cm
Jim is saving money to buy a game. So far he saved $36, which is three-fourths of the total cost of the game. How much does the game cost?
Answer:
$48
Step-by-step explanation:
Because he has 3/4 you would divide 36 by 3 whick is 12 then multiply by 4 to get the total of $48
Answer:
$48 :)
Step-by-step explanation:
Plz, Help me with this question.
Answer:
F. 10
Step-by-step explanation:
6d - 2c
6 * 3 - 2 * 4
18 - 8
10
I WILL MARK BRAINLYEST
3. Solve the equation:
3/4z-10=-3(1/4z+1/3)
-6
6
7 1/3
13.5
Answer:
The solution for your question is X=6
Describe and correct the error made in finding BC in the diagram Shown. (Hint: It is an Isosceles triangle)
Answer:
BC = 5
Step-by-step explanation:
Since it is an isosceles, it is the base angles that are equal
Since the base angles are equal, then the sides facing these angles are equal
Mathematically, what we are supposed to have as equals should be AB and BC since they are the sides facing the base angles
Thus, BC should be 5
Pleaseeee helpppp !!!!!! Will mark Brianliest !!!!!!!!!!!!
Answer:
NQ=15
Step-by-step explanation:
To solve this we can use the side-splitter theorem.
NS/SR=NP/PQ
PQ=x since we do not know it's value
now to subsitute the given/known values.
12/78=2/x
solve for x using cross multiplication.
12x=156
x=13
PQ=13
NQ= PQ+NP
NP=2
NQ=13+2
NQ=15
The length of NQ is 15.
Find the dot product of the given vectors.
u= -5i + 3j
v=3i + 4i
Answer:
[tex]\mathbf{a}\cdot \mathbf{b}=-3[/tex]
Step-by-step explanation:
The dot product of vectors.
Given two vectors a and b in their rectangular form:
[tex]\mathbf{a}= a_x\mathbf{i}+a_y\mathbf{j}[/tex]
[tex]\mathbf{b}= b_x\mathbf{i}+b_y\mathbf{j}[/tex]
The dot product of the vectors is a scalar with value:
[tex]\mathbf{a}\cdot \mathbf{b}=a_x.a_y+b_x.b_y[/tex]
The given vectors are:
[tex]\mathbf{u}= -5\mathbf{i}+3\mathbf{j}[/tex]
[tex]\mathbf{v}= 3\mathbf{i}+4\mathbf{j}[/tex]
Calculating the dot product:
[tex]\mathbf{a}\cdot \mathbf{b}=(-5)(3)+(3)(4)=-15+12=-3[/tex]
[tex]\mathbf{a}\cdot \mathbf{b}=-3[/tex]
If (x+2) is a factor of 3x^2-4kx-4k^2, then find the value(s) of k
Answer:
The values of k will be:
[tex]k=-1,\:k=3[/tex]
Step-by-step explanation:
Let the expression of polynomial P be
[tex]P\left(x\right)=3x^2-4kx-4k^2[/tex]
Let the expression if the polynomial Q be
[tex]\:Q\left(x\right)=\:\left(x+2\right)\:[/tex]
Plug in Q(x) = 0
0 = x+2
x = -2
As (x+2) is a factor of 3x²-4kx-4k²
substitute x = -2 in the the polynomial
3x²-4kx-4k² = 0
[tex]3\left(-2\right)^2-4k\left(-2\right)-4k^2\:=0[/tex]
[tex]12+8k-4k^2=0[/tex]
Write in the standard form ax²+bx+c = 0
[tex]-4k^2+8k+12=0[/tex]
Factor out common term -4
[tex]-4\left(k^2-2k-3\right)=0[/tex]
Factor k²-2k-3: (k+1)(k-3)
[tex]-4\left(k+1\right)\left(k-3\right)=0[/tex]
Using the zero factor principle
if ab=0, then a=0 or b=0 (or both a=0 and b=0)
[tex]k+1=0\quad \mathrm{or}\quad \:k-3=0[/tex]
solving k+1=0
k+1 = 0
k = -1
solving k-3=0
k-3=0
k = 3
Thus, the values of k will be:
[tex]k=-1,\:k=3[/tex]
19. The numerator of a fraction is 1 less than the denominator.
When both numerator and denominator are increased by 2,
the fraction is increased by 1/12Find the original fraction.
Let the original fraction be
[tex]\dfrac{n-1}{n}[/tex]
Now let's increase both numerator and denominator by 2:
[tex]\dfrac{n+1}{n+2}[/tex]
This produces a 1/12 increase:
[tex]\dfrac{n+1}{n+2}-\dfrac{n-1}{n}=\dfrac{1}{12}[/tex]
The left hand side can be rearranged as
[tex]\dfrac{2}{n^2+2n}=\dfrac{1}{12}[/tex]
Invert both sides:
[tex]\dfrac{n^2+2n}{2}=12 \iff n^2+2n=24[/tex]
Solve the quadratic equation:
[tex]n^2+2n-24=0 \iff n=-6 \lor n=4[/tex]
So, in the first case, the original fraction is
[tex]\dfrac{n-1}{n}=\dfrac{-6-1}{-6}=\dfrac{7}{6}[/tex]
In the second case, we have
[tex]\dfrac{n-1}{n}=\dfrac{4-1}{4}=\dfrac{3}{4}[/tex]
Who's ur favorite song artist?
Elise says, "If you subtract 12 from my number and multiply the difference by - 3, the result is - 54."
What is Elise's number?
Elise's number is?
10 POINTS + BRAINLIST IF RIGHT
Answer:30
Step-by-step explanation:
Steps below. I formed an equation out of the word problem.
Brenda and Melissa each have a band. Brenda's band plays songs in sets of 4 and Melissa's band plays songs in sets of 6. After performing together, both bands realize that they have played the same number of songs. What is the smallest number of songs each band could have performed?
Answer:
12 songs
Step-by-step explanation:
Brenda's band plays songs in sets of 4
Melissa's band plays songs in sets of 6.
After performing together, both bands realize that they have played the same number of songs.
What is the smallest number of songs each band could have performed?
The smallest number of songs each band could have performed can be calculated by finding the lowest common multiple of 4 and 6
4 = 8, 12, 16, 20, 24, 28, 32, 36, 40
6 = 12, 18, 24, 30, 36, 42
The lowest common multiple of 4 and 6 is 12
The smallest number of songs each band could have performed is 12 dongs
What is the volume, in cubic cm, of a rectangular prism with a height of 10cm, a width of 4cm, and a length of 6cm?
Henry's potato vine is growing like crazy! When he planted it, it was 2 inches long. Two weeks later it was 5 inches long. At 6 weeks, it was 11 inches long.
Answer:
[tex]y = \frac{3}{2}x +2[/tex]
Step-by-step explanation:
Required:
Write an equation to represent this situation
Let x represents the number of weeks and y represents the growth.
When he planted it:
[tex](x_1,y_1) = (0,2)[/tex]
Two weeks later:
[tex](x_2,y_2) = (2,5)[/tex]
At 6 weeks:
[tex](x_3,y_3) = (6,11)[/tex]
Start by calculating the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{5-2}{2-0}[/tex]
[tex]m = \frac{3}{2}[/tex]
Then calculate the equation using:
[tex]y - y_3 = m(x - x_3)[/tex]
[tex]y - 11 = \frac{3}{2}(x - 6)[/tex]
[tex]y - 11 = \frac{3}{2}x - 9[/tex]
Solve for y
[tex]y = \frac{3}{2}x - 9+11[/tex]
[tex]y = \frac{3}{2}x +2[/tex]
Solve the system of equation by elimination.
Answer:
Step-by-step explanation:
Write all the equations in standard form cleared of decimals or fractions.
Choose a variable to eliminate; then choose any two of the three equations and eliminate the chosen variable.
Select a different set of two equations and eliminate the same variable as in Step 2.
Solve the two equations from steps 2 and 3 for the two variables they contain.
What is 2/5 ÷ 3 and 1/10
Answer:
0.13 and 0.1 hope it will help you..
please help me with this
Answer:
B
Step-by-step explanation:
Find the slope of the line that passes through (10, 10) and (3, 1).
Answer:
-7/-9 pretty sure
Step-by-step explanation:
x2-x1
y2-y1
3-10= -7
1-10= -9
It took Sheldon 17 5/6 minutes to walk to Raj's house. The bus ride home took Sheldon 4 5/8 minutes. How many more minutes did it take Sheldon to walk than to take the bus?
Answer:
it will take her [tex]13\frac{5}{24}[/tex] minutes more to walk down to Raj's House
Step-by-step explanation:
It took Sheldon [tex]17 \frac{5}{6}[/tex] minutes to walk to Raj's house
It also took Sheldon [tex]4\frac{5}{8}[/tex] minutes to use the bus.
To get the time difference between the two transport mechanisms, we subtract their different time durations.
This will be
[tex]17\frac{5}{6} - 4\frac{5}{8}=317/24[/tex]
We can convert this to Mixed fractions as shown [tex]13\frac{5}{24}[/tex] minutes.
Therefore, it will take her [tex]13\frac{5}{24}[/tex] minutes more to walk down to Raj's House
As a cold front moved into a city, the temperature decreased by 32°F at a rate of
2°F per minute. For how long was the temperature decreasing?
A 64 minutes
B 30 minutes
C 32 minutes
D 16 minutes
Answer:
D. 16
Step-by-step explanation:
32/2 = 16
Find the value of x in the parallelogram.
Answer:
Since it's a parallelogram, the length of AD and BC are the same.
Hence, [tex]x + 21 = 12x - 1[/tex].
[tex]x + 21 = 12x - 1[/tex]
[tex]12x - x = 21 + 1[/tex]
[tex]11x = 22[/tex]
[tex]x = 2[/tex]
Therefore, x = 2.
Step-by-step explanation:
Hope this helped!
What is the first operation in the problem below? 5.5 - (7.4 +9.5÷1.2) x 2 A.Addition B. Subtraction C. Multiplication D. Division
Answer:
C) Multiplication
Step-by-step explanation:
You would want to remember PEMDAS. you would want to multiply the the parentheses first.
At a day care center a researcher asks children to list their five favorite toys from most favorite to least favorite. What level of measurement is represented in this example
Answer:
Ordinal
Step-by-step explanation:
The ordinal measurement level means the arrangement of the number so that it could tell the position of something in the list
Since in the question it is mentioned that the day care center ask the children for listing their five favorite toys and the arrangement could be done from most favorite to least favorite
So this represent the ordinal measurement level
whats the answeer giving brainliest
Answer:
B
Step-by-step explanation:
3+5+7=3+7+5
What is the answer? Please Answer it?
Answer:
2, 5
Step-by-step explanation:
hope this helps
please mark me brainliest