Answer:
x = 4
Step-by-step explanation:
Pull out like factors: 7x - 28 = 7 • (x - 4)
Solve: x-4 = 0
Add 4 to both sides of the equation: x = 4
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Nevaeh's car used 11 gallons to travel 352 miles. At what rate does the car use gas, in
miles per gallon?
Answer:
32
Step-by-step explanation:
divide 352 by 11
The required rate for Nevaeh's car uses 32 miles per gallon of gas.
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operations is called the arithmetic operator.
/ Division operation: Divides left-hand operand by right-hand operand
For example 4/2 = 2
The required rate of car use gas is the ratio of the total distance traveled by car to the number of used gallons for the car to reach its destination.
Here total distance traveled by car = 352 miles
And the number of used gallons = 11
the car uses gas = 352 miles / 11 gallons
the car uses gas = 32 miles per gallon
Therefore, the required rate for his car uses 32 miles per gallon of gas.
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Write the coordinates of the vertices after a reflection over the line y = 1.
*tuff scrolls
*looks at other hard things
been stuck on this for a bit
What is 5% of 40?
1
2
8
4
Answer:
The answer to your question is 2
Write an equation for the line with slope -5 and point (2,4).
The graph of the equation y = 1 x + 2 is displayed.
Which equations would intersect the orange line at the
y-intercept? Check all that apply.
Answer:
A. y = 7x + 2
C. y = 2 - ⁷/3x
D. y - 2 = 4x
Step-by-step explanation:
The equation of any line that would intersect the orange line at the y-intercept, 2, would have the same y-intercept value of 2.
Thus, from the options given, the following equations has y-intercept (b) of 2.
A. y = 7x + 2
C. y = 2 - ⁷/3x
D. y - 2 = 4x
All three equations have a y-intercept value, b, of 2.
Note: option D, y - 2 = 4x, can be rewritten as y = 4x + 2.
Answer: A/C/D
Step-by-step explanation: A. y = 7x + 2
C. y = 2 - ⁷/3x
D. y - 2 = 4x
Elena and Max used to rectangular wooden boards to make a set for the school play one board was 6 ft long and the other was 5 and 1/2 ft long the two boards had equal width the total area of the set was 60 and 3/8 square feet what was the width
Answer:the width is 5 1/4 ft
Step-by-step explanation:
Step 1
The area of a rectangle is given as Length x width
Therefore the area of the rectangular board = Length x width
The length of the first board =6ft
The length of the second board =5 1/2 ft (5.5ft) with both having a total area of 60 3/8 (60.375ft²). To find the width of the boards since both have equal width, we use the equation
Length x width of board A + Length x width of board B= area of board A and Board B
6w + 5.5w =60.375
Step 2---- Solving the equation
6w + 5.5w =60.375
11.5w = 60.375
w = 60.375/11.5
w= 5.25
Therefore the width of the two boards are 5.25 ft / 5 and 1/4 ft each
what is the distance between (-4,7) and (8,-9)
Answer:
(12,-16) i think sorry if its wrong
Step-by-step explanation:
Answer: 7
Step-by-step explanation:
4(x - 1) + 3 - 2 ÷ 2
Answer:
no solution with given parts of equation
Step-by-step explanation:
4(x-1)+3-2/2=n
4(x+1)+3-1=n
4(x+1)+2=n
4x+4+2=n
4x+6=n
Alternatively:
Slope = 4
x-intercept = -1.5
n-intercept = 6
Answer:
If you're looking for a simplified answer it would be: 4x-2
Step-by-step explanation:
need rn! please help, thx :)
Answer:
square root 8
Step-by-step explanation:
trust bro
a new pair of shoes for 60% off. what expression represents the total cost
Answer:
What was the origainal price?
Step-by-step explanation:
Which graph shows a proportional relationship that passes through the point (2, 1)?
A.
B.
C.
D.
The graph that shows a proportional relationship that passes through the point (2, 1) is Graph A.
Equation of a lineA line is defined as a shortest distance between two points. In order to determine the graph that shows a proportional relationship that passes through the point (2, 1), we will need to multiply the coordinate by a scale factor and determine whether the point is on the line.
Using a factor of 2;
New coordinate = 2(2, 1)
New coordinate = (4, 2)
From the given graph, you can see that the only graph that has the coordinate point (4, 2) is the Graph A.
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Remove all perfect squares from inside the square root √30b∧5
Answer:
[tex]b^{2}\sqrt{30b}[/tex]
Step-by-step explanation:
30 only has factors of 2×3×5, so the only perfect square here is [tex]b^{2}[/tex], and so you factor that out.
Point S is between R and T. If RS = 2x + 10, ST = x - 4, and RT = 4x - 10, find
the value of x.
Hint: Draw a picture!
O x = 16
O x = 8
O x = 10
O x = -14
Answer:
i dont really get your question tho
x + 8 = 20
How would I do this?
A.
Add 8 to both sides
B .
Multiply both sides by 8
C .
Divide both sides by 8
D .
Subtract 8 from both sides
Answer:
D. Subtract 8 from both sides
Step-by-step explanation:
you will have x= 12 which will be the answer :)
Answer:
D.
Subtract 8 from both sides
Step-by-step explanation:
Joanne was hired by a florist to make large boes for holidays wreaths each roll of ribbon has 20 yards joanne used 3 1/2 rolls of ribbons to make 15 bows how many feet of ribbon did she use to make each bow
Answer: Each bow needs 4.67 yards of ribbon.
Step-by-step explanation:
We know that each roll has 20 yd.
She used 3 + 1/2 rolls, then the total length used will be (3 + 1/2) times the length of each roll, this is:
(3 + 1/2)*20 yd = (6/2 + 1/2)*20yd = (7/2)*20yd = 70 yd.
With tose 70 yards of ribbon, she made 15 bows, then the length of ribbon used in each bow will be equal to the quotient between the total length used and the number of ribbons made with it, this is:
70yd/15 = 4.67 yards
Each bow needs 4.67 yards of ribbon.
Rick and Jon start walking from the same location. Rick starts 15 seconds before Jon and walks at a rate of 3 feet per second. Jon walks at a rate of 4 feet per second in the same direction as Rick. Which equation could you solve to find how long it will take Jon to catch up with Rick?
Answer:
hfjf fnnc v jud dbhj ejem emd jfbf
Step-by-step explanation:
Are the following lines parallel, perpendicular or neither?*
7x -8y = 64 and y = - 4x + 15
parallel
perpendicular
O neither
O both parallel and perpendicular
Answer:pAraell
Step-by-step explanation:
10 + 4a = a -23 i need to solve for a please help
Answer:
a = -11
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: Define
10 + 4a = a - 23
Step 2: Solve for a
Subtract a on both sides: 10 + 3a = -23Isolate a term: 3a = -33Isolate a: a = -11Step 3: Check
Plug in a into the original equation to verify it's a solution.
Substitute in a: 10 + 4(-11) = -11 - 23Multiply: 10 - 44 = -11 - 23Subtract: -34 = -34Here we see that -34 does indeed equal -34.
∴ a = -11 is the solution to the equation.
[tex]\sf{\bold{\green{\underline{\underline{Given}}}}} [/tex]
⠀⠀⠀
10 + 4a = a - 23 ______________________[tex]\sf{\bold{\green{\underline{\underline{To\:Find}}}}} [/tex]
⠀⠀
Value of a = ?? ______________________[tex]\sf{\bold{\green{\underline{\underline{Solution}}}}} [/tex]
⠀⠀⠀⠀
For solving such problems we must have a glance at BODMAS rule .
⠀⠀⠀⠀
Firstly , putting all the variables at left and putting all the constants at right
⠀⠀⠀⠀
4a - a = - 23 - 10
⠀⠀⠀⠀
Secondly , solving the variable side
⠀⠀⠀⠀
3a = -23 - 10
⠀⠀⠀⠀
Now , solving the constant side
⠀⠀⠀⠀
3a = - 33
⠀⠀⠀⠀
Thirdly isolating the variable
⠀⠀⠀⠀
a = -33 / 3
⠀⠀⠀⠀
a = - 11
______________________[tex]\sf{\bold{\green{\underline{\underline{Answer}}}}} [/tex]
⠀⠀⠀⠀
Value of a is -11A set of 6 water bottles are sold for 12. What is the unit cost per water bottle?
$2.00 US Dollars is the answer
Given: -5x+2/7=-4; Prove: x=6
need to fill out a chart (picture provided) of the statements and reasons for this equation.
Please very urgent please give me a correct answer!
Answer:
20%, 40%, 60%, 80%
Step-by-step explanation:
what's the definition of electrolysis
Answer: chemical decomposition produced by passing an electric current through a liquid or solution containing ions. In chemistry and manufacturing, electrolysis is a technique that uses direct electric current to drive an otherwise non-spontaneous chemical reaction. Electrolysis is commercially important as a stage in the separation of elements from naturally occurring sources such as ores using an electrolytic cell. Electrolysis is used in industry for the production of many metals and non-metals (e.g., aluminium, magnesium, chlorine, and fluorine). Electrolysis is commonly employed for coating one metal with another. The method of coating one metal with another using an electric current is called electroplating.
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Write y= -1(x-4.5)^2 + 15.25 in standered form
Given:
The equation is
[tex]y=-1(x-4.5)^2+15.25[/tex]
To find:
The standard form of the given equation.
Solution:
We have,
[tex]y=-1(x-4.5)^2+15.25[/tex]
It is a quadratic equation.
The standard form of a quadratic equation is [tex]y=ax^2+bx+c[/tex]. So, we need to write the given equation in this form.
[tex]y=-(x-4.5)^2+15.25[/tex]
[tex]y=-[x^2-2(x)(4.5)+(-4.5)^2]+15.25[/tex] [tex][\because (a-b)^2=a^2-2ab+b^2][/tex]
[tex]y=-[x^2-9x+20.25]+15.25[/tex]
[tex]y=-x^2+9x-20.25+15.25[/tex]
[tex]y=-x^2+9x-5[/tex]
Therefore, the required equation in standard form is [tex]y=-x^2+9x-5[/tex].
In the figure below, ray MP and ray MQ both intersect line LN.
Answer:
x = 20°
Step-by-step explanation:
Lines and Angles
Rays PM and MQ divide the straight-line LN angle of 180° into three angles: 45°, 6x-5, and x.
Thus, we have:
45 + 6x - 5 + x = 180
Simplifying:
40 + 7x = 180
Subtracting 40:
7x = 180 - 40
7x = 140
Dividing by 7:
x = 140/7 = 20
x = 20°
Hannah wants to save 1/3 of her allowance each week to buy a new dress that costs $45.00. if her allowance is $6.00 each week, how many weeks will she have to save to buy the dress?? PLEASE HELP PLEASE ASAP!! WILL MARK BRAINLIEST!!!
Answer:
It will take 22.5 weeks for her to save up to buy the dress.
Step-by-step explanation:
1/3 of $6.00 is 2.
(6 ÷ 3 = 2)
So she's saving $2 each week.
Now we need to divide $45 by $2 to get the number of weeks.
45 ÷ 2 = 22.5
simplify 10x -(-7+6x)
The required simplified expression of the given expression 10x -(-7+6x) is 4x - 7.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
To simplify the expression 10x -(-7+6x), we can apply the distributive property of multiplication over addition and simplify the expression inside the brackets first.
-(-7+6x) = -1×(-7) + (-1)×6x
= 7 - 6x
Substituting this result into the original expression gives:
10x -(-7+6x) = 10x + 7 - 6x
Now we can combine like terms by adding the x terms and the constant terms separately:
= (10x - 6x) + 7
= 4x - 7
Therefore, 10x -(-7+6x) simplifies to 4x - 7.
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Help ASAP !
Help ASAP !
Help ASAP !
Answer:
21/40
Step-by-step explanation:
Answer:
0.525 or 21/40. Find the LCM between the denominators which is 40.
Three of seven students ate apples for lunch. What is the
ratio of students who ate apples for lunch to students who
did not eat apples for lunch?
Answer:
3:4 would be the answer
Step-by-step explanation:
you're welcome
What is the product of 3/5 times 2/7
Answer:
6/35
Step-by-step explanation:
3/5×2/7
6/35