Answer:
30m per gallon
Step-by-step explanation:
150m/5g= 30m/g
How much interest is earned on a principle of $838.50 invested at an interest rate of 19% for 6 years? Round to the nearest cent
Answer:
$956
Step-by-step explanation:
Interest = Principal(Rate)(Time)/100
Interest = 838.5(19)(6)/100)
Interest = $95589/100
Interest = $955.89
Interest = $956(to the nearest cent)(Answer)
Which set represents a function?
{(1, 3), (4, 5), (4, 9), (6, 19)}
{(-5, 6), (-3, 13), (-14, 30)}
{(12, 12), (12, 13), (12, 14)}
Answer: {(-5, 6), (-3, 13), (-14, 30)} is a function
{(12, 12), (12, 13), (12, 14)} and {(1, 3), (4, 5), (4, 9), (6, 19)} are not a function
Answer:
the second set
Step-by-step explanation:
You cannot have the same number in your domain twice.
Missing angels in triangles worksheet
Answer:
Try to find it !
Step-by-step explanation:
look at every spot you went to in the day ! retrace your steps !
angle 2 and angle 8 are...... because they are...... help me please!!!
Answer:
angle 2 and angle 8 are alternate interior angles
Step-by-step explanation:
PLEASE ANSWER ASSP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
x = -1.9
Step-by-step explanation:
3(x-8) = -29.7 Given
3x - 24 = -29.7 Distributive property
3x - 24 + 24 = -29.7 + 24 Addition property of equality
3x = -5.7
3x ÷ 3 = -5.7 ÷ 3 Division property of equality
x = -1.9 Answer
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
What’s the answer to this problem I’m really confused ?
Answer:
C
Step-by-step explanation:
sin= opposite/hypotenuse
On a coordinate plane, triangle A B C has points (negative 9, 3), (negative 9, 6), (0, 3) and triangle A double-prime B double-prime C double-prime has points (3, negative 1), (3, negative 2), and (0, negative 1). Which transformations could be performed to show that △ABC is similar to △A"B"C"? a reflection over the x-axis, then a dilation by a scale factor of 3 a reflection over the x-axis, then a dilation by a scale factor of One-third a 180° rotation about the origin, then a dilation by a scale factor of 3 a 180° rotation about the origin, then a dilation by a scale factor of One-third
Answer:
Option (4)
Step-by-step explanation:
Vertices of ΔABC are,
A → (-9, 3)
B → (-9, 6)
C → (0, 3)
If the given triangle is rotated 180° about the origin image triangle will have the vertices as,
Rule for the rotation,
(x, y) → (-x, -y)
A' → (9, -3)
B' → (9, -6)
C' → (0, -3)
If a point (x, y) is dilated by a scale factor of 'k',
Rule for the dilation,
(x, y) → (kx, ky)
Since, ΔA"B"C" is smaller than ΔABC,
Therefore, dilating ΔA'B'C' by a scale factor = [tex]\frac{1}{3}[/tex]
Image triangle ΔA"B"C" will be,
A" → (3, -1)
B" → (3, -2)
C" → (0, -1)
Therefore, Option (4) is the correct option.
Answer:
the guy above me is wrong the correct option is the second option
Step-by-step explanation:
i just got it wrong & it showed me the answer
HELP ME PLS !!!!!!!!!
If x = -1, then (x - 1)(2 - x) = ?
Find the inverse when f(x)=3x^2-3x-2
Answer:
The inverse of f(x) is [tex]f^{-1}[/tex](x) = ± [tex]\sqrt{\frac{x+\frac{11}{4}}{3}}[/tex] + [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
To find the inverse of the quadratic function f(x) = ax² + bx + c, you should put it in the vertex form f(x) = a(x - h)² + k, where
h = [tex]\frac{-b}{2a}[/tex] k is the vlue f at x = h∵ f(x) = 3x² - 3x - 2
→ Compare it with the 1st form above to find a and b
∴ a = 3 and b = -3
→ Use the rule of h to find it
∵ h = [tex]\frac{-(-3)}{2(3)}[/tex] = [tex]\frac{3}{6}[/tex] = [tex]\frac{1}{2}[/tex]
∴ h = [tex]\frac{1}{2}[/tex]
→ Substitute x by the value of h in f to find k
∵ k = 3( [tex]\frac{1}{2}[/tex])² - 3( [tex]\frac{1}{2}[/tex]) - 2
∴ k = [tex]-\frac{11}{4}[/tex]
→ Substitute the values of a, h, and k in the vertex form above
∵ f(x) = 3(x - [tex]\frac{1}{2}[/tex])² + [tex]-\frac{11}{4}[/tex]
∴ f(x) = 3(x - [tex]\frac{1}{2}[/tex])² - [tex]\frac{11}{4}[/tex]
Now let us find the inverse of f(x)
∵ f(x) = y
∴ y = 3(x - [tex]\frac{1}{2}[/tex])² - [tex]\frac{11}{4}[/tex]
→ Switch x and y
∵ x = 3(y - [tex]\frac{1}{2}[/tex])² - [tex]\frac{11}{4}[/tex]
→ Add [tex]\frac{11}{4}[/tex] to both sides
∴ x + [tex]\frac{11}{4}[/tex] = 3(y - [tex]\frac{1}{2}[/tex])²
→ Divide both sides by 3
∵ [tex]\frac{x+\frac{11}{4}}{3}[/tex] = (y - [tex]\frac{1}{2}[/tex])²
→ Take √ for both sides
∴ ± [tex]\sqrt{\frac{x+\frac{11}{4}}{3}}[/tex] = y - [tex]\frac{1}{2}[/tex]
→ Add [tex]\frac{1}{2}[/tex] to both sides
∴ ± [tex]\sqrt{\frac{x+\frac{11}{4}}{3}}[/tex] + [tex]\frac{1}{2}[/tex] = y
→ Replace y by [tex]f^{-1}[/tex](x)
∴ [tex]f^{-1}[/tex](x) = ± [tex]\sqrt{\frac{x+\frac{11}{4}}{3}}[/tex] + [tex]\frac{1}{2}[/tex]
∴ The inverse of f(x) is [tex]f^{-1}[/tex](x) = ± [tex]\sqrt{\frac{x+\frac{11}{4}}{3}}[/tex] + [tex]\frac{1}{2}[/tex]
Solve for y
*show your work *
6. -6 + 2y= -x
7. 3y - 6x = 15
8. 2x + 4y = 8
9. 3x -3y = 3
10. 1/2y - 4x = 2
Answer: 1)2x=4 -> 4/2 = 2 so x=2
2) y=0
3) x=3
4) 2y + (3*3y) = -15
11y=-15
y = -15/11
5) 4x + 7x + 63 = 19
11x = -44
x = -4
Step-by-step explanation:
How do I solve 1.5 to the -2 power or 1.5^-2 (its an exponent) I have had to repost this like 3 times IF YOU ARE NOT SURE THEN DONT ANSWER the answer is .4 repeating if your explanation does not get that move along
Answer:
see explanation
Step-by-step explanation:
Using the rule of exponents
[tex]a^{-m}[/tex] ⇔ [tex]\frac{1}{a^{m} }[/tex] , then
[tex]1.5^{-2}[/tex]
= [tex]\frac{1}{1.5^{2} }[/tex]
= [tex]\frac{1}{2.25}[/tex]
= 0.4444.....
A large cube has a volume of 1 cubic unit. A small cube has a volume of 1 27 of a cubic unit. What is the difference between the edge length of the large cube and the edge length of the small cube?
Given:
Volume of Large cube = 1 cubic unit
Volume of small cube = [tex]\dfrac{1}{27}[/tex] cubic unit
To find:
The difference between the edge length of the large cube and the edge length of the small cube.
Solution:
Let the edges of large and small cubes are [tex]a_1[/tex] and [tex]a_2[/tex] respectively.
We know that, volume of a cube is
[tex]V=(edge)^3[/tex]
Volume of Large cube = 1 cubic unit
[tex](a_1)^3=1[/tex]
Taking cube root on both sides, we get
[tex]a_1=1[/tex]
So, edge of large cube is 1 unit.
Volume of small cube = [tex]\dfrac{1}{27}[/tex] cubic unit
[tex](a_2)^3=\dfrac{1}{27}[/tex]
Taking cube root on both sides, we get
[tex]a_2=\dfrac{1}{3}[/tex]
So, edge of large cube is [tex]\dfrac{1}{3}[/tex] unit.
Now, difference between them is
[tex]d=a_1-a-2[/tex]
[tex]d=1-\dfrac{1}{3}[/tex]
[tex]d=\dfrac{3-1}{3}[/tex]
[tex]d=\dfrac{2}{3}[/tex]
Therefore, the difference between the edge length of the large cube and the edge length of the small cube is [tex]\dfrac{2}{3}[/tex] unit.
Will give brainliest, Please help!!
A man walking his dog went around the neighborhood (1 mile) in 20 minutes. What was his speed?
Answer:
what?
Step-by-step explanation:
On an assembly line that is 150 feet long, there is a work station every 15 feet. The first station is at the very beginning of the line. How many work stations are there?
Select the correct locations on the graph.
Select the lines that represent functions.
Answer:
uhh i think
Step-by-step explanation:
just the horizontal and the diagonal
can i have brainliest plz
Answer:
b,c
Step-by-step explanation:
hello, the answer to this is / and ----- or b and c I got this right on my test :)
John's Mathematics exam mark this year is increased by 5% to 84. Find his Mathematics exam mark
last year.
Answer:
80%
Step-by-step explanation:
Let's call the past exam mark m,
m*105%=84
m*105/100=84
m=84/(105/100)
m=80
Hope this helps!
Answer:
80
Step-by-step explanation:
new value = 84
old value = n
can use percent change formula: (new value - old value) / old value = 5/100
[tex]\frac{84-n}{n}[/tex] = [tex]\frac{5}{100}[/tex]
cross-multiply (you can simplify 5/100 to be 1/20 first): 20(84 - n) = n
1680 - 20n = n
1680 = 21n
n = 80
70% of 350 is what number?
Answer:
245
Step-by-step explanation:
What is 70 percent (calculated percentage %) of number 350? Answer: 245.
One tank is filling at a rate of 5/8 gallon per 7/10 hour. A second tank is filling at a rate of 5/9 gallon per 2/3 hour. Which tank is filling faster?
Answer:
First tanks
Step-by-step explanation:
Rate for the first tank
One tank is filling at a rate of 5/8 gallon per 7/10 hour.
= 5/8 gallon ÷ 7/10 hour
= 5/8 ×10/7 (gallon/hour)
= 25/28 gallon/hour
= 0.8928571429 gallon /hour
Rate for the second tank
A second tank is filling at a rate of 5/9 gallon per 2/3 hour.
5/9 gallon ÷ 2/3 hour
5/9 × 3/2 (gallon per hour)
= 5/6 (gallon per hour)
= 0.8333333333 gallon/hoir
The tank that is filling faster the first tank at the rate of 0.8928571429 gallon /hour
Mr. Thompson drew a rectangle on the chalkboard with a length to width ratio of 5 to 2. He asked students to draw a rectangle with the same ratio of length to width in their journals. Audrey plans to draw a rectangle with a width of 6 centimeters. What length should Audrey's rectangle have?
Answer:
15 centimeters
Step-by-step explanation:
Ratio of Mr. Thompson rectangle = length : width
= 5 : 2
Audrey plans to draw a rectangle with a width of 6 centimeters.
Ratio of Audrey rectangle = length : width
= x centimeters : 6 centimeters
Equate the two ratios to find the value of x
5 : 2 = x : 6
Cross product
5 * 6 = 2 * x
30 = 2x
Divide both sides by 2
x = 30 / 2
= 15
x = 15 centimeters
Audrey's rectangle should have a length of 15 centimeters
Answer:
15
Step-by-step explanation:
Solve the equation
2x-1/4
+
X/3
= 2
Answer:
The answer is x=27/28
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
The solution of the expression is,
⇒ x = 27/28
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 2x - 1/4 + x/3 = 2
Now, Solve the expression as;
⇒ 2x - 1/4 + x/3 = 2
⇒ 2x + x/3 = 2 + 1/4
⇒ 7x/3 = 9/4
⇒ 7x = 27/4
⇒ x = 27/28
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
What is the distance formula?
Pls ANSER WHOEVER ANSWERS FIRST GETS BRAINLIEST!!!!!!!!!
Shelby bought 6½ pounds of hamburger meat to make hamburger
patties. However, 4⅔ pounds of the hamburger had to be thrown away.
How much of the hamburger meat did not get thrown away?
Answer:
1.83 was not thrown away
Answer:
2 1/6
Step-by-step explanation:
6 1/2 - 4 2/3 = 2 1/6
Helplsieedgoodgradeplspls
Answer:
He would need to walk the dog 6 more times because 8 times 11 is 88 and if he has already walked the dog 5 times you would subtract that from 11 to get 6. So the answer would be 6
Step-by-step explanation:
8·11= 88
11-5= 6
Pls help me with this math
Answer:pi^4
Step-by-step explanation:
When you divide exponents, you subtract them. So you would subtract 11-7=4. The exponent would be 4 and base would be ok. Brainlist please!
Select the correct answer
Answer:
1/49
Step-by-step explanation:
multiplying two of these, as long as the bases are the same, which is true here, you can add the exponents
so the exponents would be
-5/6 + (-7/6)=-5/6-7/6=-12/6=-2
7^-2=1/49
Answer:
Step-by-step explanation:
1/49
The difference of y and 8.1 is 20.
Flnd the value of y.
Answer:
y = 28.1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Set Up Equation
"Difference" is subtraction
"y" is y
"8.1" is 8.1
"is" is equal
"20" is 20
y - 8.1 = 20
Step 2: Solve for y
Add 8.1 to both sides: y = 28.1A student says that the sum difference, product and quotient of two
are always integers. Do you agree? Explain
Answer:
The quotient of two integers may not always be an integer.
Therefore, I do not agree when a student says that the sum difference, product, and quotient of two are always integers.
Step-by-step explanation:
The student is not largely correct!
The sum, difference, and product of two integers is indeed always an integer.
But, the quotient of two integers may not always be an integer.
For example, the quotient of integers 4 and 2 will be an integer.i.e.
4/2 = 2
But, if we take the quotient of 2 and 3, the result will not be an integer.i.e.
2/3 = 0.67
Therefore, I do not agree when a student says that the sum difference, product, and quotient of two are always integers.
A survey of 100 doctors revealed that 2 out of every 5 doctors recommended Brand M deodorant. Based on these results, how many doctors did NOT recommend Brand M?
Answer:
40
Step-by-step explanation:
5 x 5 is 25 so 2 x 5, 20 times makes 40
math please help me
answer choice
This system has no solutions.
(5/8, 14)
This system has infinitely many solutions.
(−5/8, 4)
Answer:
What do you mean? It could be both, in different ways.