Answer:
n = 6
Step-by-step explanation:
5n = 30
Divide each side by 5
5n/5 = 30/5
n = 6
Answer:
n = 6
Step-by-step explanation:
5n = 30
Divide each side by 5
5n/5 = 30/5
n = 6
Filling up a tank of gas costs $36.96. If the tank holds 16.5 gallons of gas, then how much d
each gallon cost?
Answer:
$2.24 per Gallon
Step-by-step explanation:
36.96 divided by 16.5 is 2.24, then to check that multiple 2.24 by 16.5 and you get the total cost of 36.96. Hope this helps.
determine if the given equations are functions or not function
x = 3, y² = -5x -12, x² + y² =81. are all not functions. the others are functions.
Step-by-step explanation:
I just did it
A function assigns the values. The correct options are C and E.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
An equation is said to be a function if for each different value of x(input) it should give a different output. Therefore, for different inputs of x, the value of the output y should be different and unique. Also, the values if the equation produces the same output for two values of x it also said to be a function.
A.)
x = 3, since for every value of x the value is 3, which is not possible. Hence, this is not a function.
B.)
x² + y² = 81
For the given equation if the value of x is given as 0, the value of y will be,
x² + y² = 81
0² + y² = 81
y² = 81
y = ±√81
y = -9, 9
Hence, this can not be a function.
C.) y = -x + 11
For the given equation if the value of x is kept anything the value of y will be different. Thus, this is a function.
D.)
y² = -5x - 12
For the given equation if the value of x is given as less than -2.4, there will be two values of y. Thus, the given equation is not a function.
E.)
y = 2x² - 6x + 4
The given function will return will the same value of y for 2 different values of x. Hence, this is a function.
F.)
y = -7
Since the given equation can only have the value of y as 7. Therefore, it is not a function.
Hence, the equations that are a function are y = -x + 11 and y = 2x² - 6x + 4.
Learn more about Function:
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25-2z-10z=-3(4z+8)-1
solve and how many solutions ?
Answer:
No Solutions
Step-by-step explanation:
Step 1:
25 - 2z - 10z = - 3 ( 4z + 8 ) - 1 Equation/Given
Step 2:
25 - 12z = - 12z - 25 Combine Like Terms/Multiply
Step 3:
25 = - 25 Add 12z on both sides
Answer:
No Solutions
Hope This Helps :)
What is the value of the expression (x – 2y) (x + 2y) when x= 4 and y=1/2
Answer:
15
Step-by-step explanation:
First you would plug in the 4 and 1/2 in the x and y's places, making the expression (4 - 2 (1/2))*(4 + 2 (1/2). Then you solve (below).
(4 - 2 (1/2))*(4 + 2 (1/2)
(4 - 1)*(4 + 1)
(3)*(5)
15
Hope this helped! If you have any questions, feel free to message me :)
solve the equation. 4.6g +9+1.6g +21 what is g
Answer:
= 6.2g+9
Step-by-step explanation:
WILL MARK BRAINLIEST PLZ ANSWER FAST GUYS AND GIRLS. Don't mind the second question. You can answer it if you want that will help me.
Answer:
1. 10d + 5n = 85
2. look at graph or graph coordinates (0, 17) and (8.5, 0) and make a line through them
3. 17 nickels since its only nickels, on the graph you see where the line hits the y-axis which is 17.
4. 8.5 dimes since its only dimes, on the graph you see where the line meets the x-axis which is 8.5
Step-by-step explanation:
y-axis is nickels
x-axis is dimes
What strategy would be the best to solve this problem? Ann-Marie bought apples. She kept one-third for herself and gave the rest to 4 friends. Each friend got 2 apples. How many apples did Ann-Marie buy? A. guess, check and revise B. work backwards C. use a formula D. look for patterns
Answer:
D. Look for patterns
Step-by-step explanation:
To solve :
Assume number of apples bought = x
Fraction kept = 1/3 of x
Fraction shared = (x - x/3) = (3x - x) /3 = 2x/3
Number of people who shared (2x/3) = 4 with each getting 2
Total number shared = 4 * 2 = 8
Fraction shared = total shared
2x/3 = 8
Multiply both sides by 3
(2x/3) * 3 = 8 * 3
2x = 24
x = 12
Hence, Anne-Marie purchased 12 apples
What is the y intercept of this graph?. What is the slope?
Answer:
y intercept is -3
slope is 4
y=4x-3
Step-by-step explanation:
10) Which of the following best represents the
range of the graph below?
A) -2 y <3
B) y
ya
C) y2-3
D) All real numbers
PLEASE HELP ASAP! VERY DESPERATE
Michelle is making a poster for a class presentation. She plans to have four sections of information, each with a different background color. The diagram shows the lengths and widths of each section, where a is the length of the red section. Which expression for the area of the poster is written as the sum of the areas of each colored section? (answer choices are in the screenshot provided. thanks! <3)
Answer:
first option
Step-by-step explanation:
the area of a rectangle is
base*height
[tex]Purple=(3)\times(a)\\\\=3a\\\\\\Green=(\frac{1}{2})\times(3)\\\\=\frac{3}{2}\\\\\\Red=1\times a\\\\=a\\\\\\Yellow=\frac{1}{2}\times 1\\\\=\frac{1}{2}[/tex]
so the sum is
[tex]\Sigma A=3a+a+\frac{3}{2}+\frac{1}{2}[/tex]
which is the first option
The expression for the area of the poster is written as the sum of the areas of each colored section is 3a + a + 3 1/2 + 1/2
Area of a rectangle = length × width
Purple color:
Area = length × width
= 3 × a
= 3a
Red color:
Area = length × width
= 1 × a
= a
Green color:
Area = length × width
= 3 × 1/2
= 3 1/2
Yellow color:
Area = length × width
= 1 × 1/2
= 1/2
Sum of the areas = purple + red + green + yellow
= 3a + a + 3 1/2 + 1/2
Therefore, expression for the area of the poster is written as the sum of the areas of each colored section is 3a + a + 3 1/2 + 1/2
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Write the following number in scientific notation: 0.0008228
PLEASE HELP QUICK
Answer:
0.0008228 to standard form =
8.228 x 10^-4
Answer please 1st and second
Someone please help me
320÷b∙20 and 320÷(b∙20) for b=4
Answer:
Step-by-4vttbrbwtetbb4tbtb44tny4ny4nyn4tbryn4y
step explanation:
Olly took a taxi 12 miles and paid $8.40. The cab driver charges $0.45 per mile after a flat fee. How much would it cost if Olly needed to take the taxi for 25 miles?
Answer:
$14.25
Step-by-step explanation:
12 x 0.45 = 5.4
8.40-5.40=3
3 is the flat fee
3+(0.45 x 25) = 14.25
Answer:
$14.25
Step-by-step explanation:
8.40 = .45(12) + b
8.40 = 5.4 + b
b = 3
b = .45(25) + 3
b = 11.25 + 3
b = 14.25
Lincoln Cook has a check for $295.50 and a check for $6.25. He also has a $10.00 bill
He would like to receive $5.00 in cash and deposit the rest of the money in his say-
ings account. What is the total deposit?
Step-by-step explanation:
First, we need to add all the checks and money he has.
295.50
10.00
6.25
+________
3 6 1 . 7 5
Total- $361.75
Now, we have to subtract 5 from this.
361.75
5.00
-______
3 5 6 . 7 5
The total deposit is $356.75
Answer:
$306.75 is the right answer i just took the test.
Step-by-step explanation:
1/3 kilograms 2/3 what is the unit rate
P(5. - 5), y=3x+3
Write an equation for the line in point-slope form
Answer:
M= 3
Step-by-step explanation:
l2ecdnienofnweucon fuovnewdionsdv wqueijncqodi
Answer:
y+5 =3(x-5)
Step-by-step explanation:
The point slope form of an equation is : y-y₁ = m(x-x₁)
Given in the question ;
x₁= 5
y₁ = -5
y= 3x+3 where m=3
The equation is :
y-y₁ = m(x-x₁)
y--5 =3(x-5)
y+5 =3(x-5) ----equation of the line in point-slope form.
The difference between a number x and 3 is at least nine Write an inequality for the following sentence.
Answer:
3 - x ≥ 9
Step-by-step explanation:
At least in inequality means greater than or equal to (≥)
Difference in mathematics means subtraction
The difference between a number x and 3
3 - x
is at least nine
3 - x ≥ 9
The inequality for the sentence is
3 - x ≥ 9
solve.
5-(x-6)=-7+3(-x+2)
Answer:
x=-6
Step-by-step explanation:
For this equation, when we remove the parenthesis, we get 5-x+6=-7+-3x+6.
Then we simplify both sides of the equation, so we get 11-x=-1-3x. When we separate the numbers and variables, we get -12=-2x. -12/2 = -6.
The parent function f(x) = x^2 is vertically stretched by a scale factor of 2, translated 14 units right, and 6 units up. Which equation below represents the new equation? 1. G(x) = 2(x-14)^2 + 6 2. G(x) = 1/2 (x-14)^2 = 6 3. G(x) = 2(x-14)^2 - 6 4. G(x) = 2(x+14)^2 + 6
Answer:
[tex](1)\; G(x)=2(x-14)^2+6[/tex]
Step-by-step explanation:
Assuming, right and up are positive directions.
The given parent function, [tex]f(x)=x^2[/tex]
Let [tex]f_1(x)[/tex] be the function when the parent function is stretched by a scale factor of 2.
So, [tex]f_1(x)=2f(x)[/tex]
[tex]\Rightarrow f_1(x)=2x^2[/tex]
Let [tex]f_2(x)[/tex] be the function when [tex]f_1(x)[/tex] is translated [tex]14[/tex] units right.
So, [tex]f_2(x)=f_1(x-14)[/tex]
[tex]\Rightarrow f_2(x)=2(x-14)^2[/tex]
Again, let [tex]f_3(x)[/tex] be the function when [tex]f_2(x)[/tex] is translated 4 units up.
So, [tex]f_3(x)=f_2(x)+6[/tex]
[tex]\Rightarrow f_3(x)=2(x-14)^2+6[/tex]
So, the resulting function, [tex]f_3(x)=G(x)=2(x-14)^2+6[/tex].
Hence, option (1) is correct.
What is the missing reason in the proof?
given
transitive property
alternate interior angles theorem
converse alternate interior angles theorem
Answer:
c, alternate interior angles theorem
Step-by-step explanation:
if 1 is equal to 3, and 3 is equal to 2 by alternate interior angles theorem, then that should also apply to angle 1.
Find the equation of the line that passes through (2,8) and (6,48)
Answer: m = 10
.........................
A car increases, then decreases, its speed. Which table could represent the speed of the car? A 2-column table with 5 rows. The first column is labeled time (minutes) with entries 5, 6, 7, 8, 9. The second column is labeled speed (miles per hour) with entries 45, 43, 41, 42, 43. A 2-column table with 5 rows. The first column is labeled time (minutes) with entries 5, 6, 7, 8, 9. The second column is labeled speed (miles per hour) with entries 45, 47, 49, 48, 47. A 2-column table with 5 rows. The first column is labeled time (minutes) with entries 5, 6, 7, 8, 9. The second column is labeled speed (miles per hour) with entries 45, 45, 45, 43, 41. A 2-column table with 5 rows. The first column is labeled time (minutes) with entries 5, 6, 7, 8, 9. The second column is labeled speed (miles per hour) with entries 45, 43, 41, 41, 41.
Answer:
The speed increases (45—>47—>49) then decreases (48—>47) over time.
Step-by-step explanation:
HOPE THIS HELPED ✨
Answer: The speed increases (45—>47—>49) then decreases (48—>47) over time.
The annual profit at a chain of stores is normally distributed with a mean of $61,000 and a standard
deviation of $23,000. The stores in the top 5% of annual profit were rewarded with a celebration. What
was the annual profit required to have a party?
Answer: $98,835.
Step-by-step explanation:
Given: Annual profit at a chain of stores is normally distributed with a mean ([tex]\mu[/tex]) of $61,000 and a standard deviation([tex]\sigma[/tex]) of $23,000.
Let [tex]x[/tex] denoted the profit.
Let [tex]x_0[/tex] be the minimum profit required to have a party.
The stores in the top 5% (i.e. 0.05) of annual profit were rewarded with a celebration.
i.e. [tex]P(x>x_0)=0.05[/tex]
[tex]\Rightarrow\ P(\dfrac{x-\mu}{\sigma}>\dfrac{x_0-61000}{23000})=0.05\\\\\Rightarrow\ P(z>\dfrac{x_0-61000}{23000})=0.05\ \ \ [z=\dfrac{x-\mu}{\sigma}]\\\\\Rightarrow\ \dfrac{x_0-61000}{23000}=1.645\ \ [\text{critical z-value for p-value 0.05=1.645}]\\\\\Rightarrow\ x_0-61000 =1.645\times 23000\\\\\Rightarrow\ x_0-61000 =37835\\\\\Rightarrow\ x_0=37835+61000\\\\\Rightarrow\ x_0=98835[/tex]
Hence, the annual profit required to have a party was $98,835.
HELP BAD DAY
Write as an expression:twice the product of the squares of x and y
with the product of the cube of a and the square of b
Answer:
the square root of 2(x^3 * x^2)
Step-by-step explanation:
twice means 2 and product means either division or multiplication (multiplication in this scenario because twice means multiply). cubed means to the third power
Twice a number increased by 4 is at least 10 more than the number
Answer:
the twice as number increased by 4 is at least 10 more than a number .
2x + 4 ≥ x + 10
x ≥ 6
Step-by-step explanation:
Mark Brainliest
Answer:
2n+4 >= 10 + n
Step-by-step explanation:
solve for n , but remember the rules of dealing with inaqualities
15 points!
What is the correct answer for Claire's problem? Explain where she went wrong.
Answer:
it would be y=50+25x
Step-by-step explanation:
There is an extra $25 per room, and since we dont know how many rooms she has cleaned, we can use x to represent that amount. So for x amount of rooms, it will be an extra $25
.4 ÷ 28.08 Dividing Decimals , Divide to the nearest Tenth??
I Will Give You 10 Points
Answer:
0
Step-by-step explanation:
The answer is 0.01424, but if you round it to the nearest tenth, you would end up with 0.
how do you solve u = 3a/2 solving for a
Answer:
Step-by-step explanation:
a=2a/3. ✌️