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The bicycle rental shop charges a fee of $6 It also charges $3 per hour that the bike is out if you rented the bike for h hours what expression describes the cost of renting the bicycle
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Final answer:
The cost of renting a bicycle is expressed as $6 + $3h, which includes a flat fee of $6 plus $3 for each hour the bike is rented.
Explanation:
The cost of renting a bicycle from the rental shop can be described by an algebraic expression that takes into account both the flat fee and the hourly charge. To calculate the total cost, you multiply the number of hours the bike is rented (h) by the hourly rate ($3) and then add the flat fee ($6).
Step-by-Step Calculation
Determine the hourly rental rate: $3 per hour.
Multiply the hourly rate by the number of hours the bike is rented: $3 x h.
Add the flat fee to the hourly charge: $6 + ($3 x h).
Therefore, the expression that describes the cost of renting the bicycle is $6 + $3h.
PLZ HELP ME!!!!!!!!!!
Which equation represents this situation?
José worked 2.5 hours more than William. Together, they worked a total of 22 hours. William worked h hours.
h+2.4=22h+2.4=22
h+5=22h+5=22
h+(h+2.5)=22h+(h+2.5)=22
h+(h−2.5)=22
Answers
h + 2.5 = Jose's hours because he worked 2.5 hours more than William, so you add 2.5 to William's hours (which is represented by h) to get Jose's hours
then you add them together..
The equation represents the given situation is h+h+2.5=22. Therefore, option C is the correct answer.
Given that, José worked 2.5 hours more than William. Together, they worked a total of 22 hours.
We need to find which equation represents this situation.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
William worked h hours.
Now, number of hours Jose worked = h+2.5
h+h+2.5=22
⇒2h+2.5=22
⇒2h=22-2.5
⇒2h=19.5
⇒h=9.75 hours
The equation represents the given situation is h+h+2.5=22. Therefore, option C is the correct answer.
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A rectangle is 15 cm long. Find the area and perimeter of the rectangle if it's width is 3/5 of the length
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15/5 = 3
3 x 3= 9. 9 cm is the width.
Perimeter: 15(2) + 9(2) = 48 cm
Area: 15(9) = 135 cm
The area of the rectangle is 135 [tex]cm^{2}[/tex], and the perimeter is 48 cm, given that the width is 3 / 5 of the rectangle's length which is 15 cm.
To find the area and perimeter of a rectangle where the width is 3/5 of the length, we apply the formulas. First, calculate the width:
Width = 3 / 5 × Length
Width = 3 / 5 × 15
Width = 9 cm
Now, calculate the area:
Area = Length × Width
Area = 15 cm × 9 cm
Area = 135 cm²
Next, calculate the perimeter:
Perimeter = 2 x (Length + Width)
Perimeter = 2 x (15 cm + 9 cm) = 2 x (24 cm)
Perimeter = 48 cm
The area of the rectangle is 135 cm2, and the perimeter is 48 cm.
PV = nRT
Solve the formula for the BOLD variable. Bold variable is T
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(PV) / (nR) = T
what's the slope, y intercept, and rate of change of y=2x+5?
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y intercept: 5
rate of change : 2/1
Answer:
Yes it is 5
Step-by-step explanation:
If the side lengths of a cube are 16 feet, what is the correct way to write the expression to represent the volume of the cube in exponential form?
Answers
Volume=16^3
Volume=4096
Answer:
16^3
Step-by-step explanation:
During a checkers game, there are 16 pieces left. The ratio of black to red is 3 : 5. How many black pieces are on the board?
Answers
2 x 3 = 6
6 black pieces
To find the number of black pieces in a checkers game with a black to red ratio of 3:5 and a total of 16 pieces, you can form and solve an algebraic equation, resulting in 6 black pieces.
To determine the number of black pieces in a checkers game when given the total pieces and the ratio of black to red pieces, you can set up a proportion. With a total of 16 pieces and a ratio of 3:5 black to red, we can use algebra to find the answer. Let's denote the number of black pieces as 'b' and the number of red pieces as 'r'.
According to the ratio, we have b/r = 3/5. We also know that b + r = 16 because the total number of pieces is 16. By cross-multiplying the ratio, we get 5b = 3r. We can substitute r with 16 - b in this equation (from our total) to get: 5b = 3(16 - b).
Solving this, we have: 5b = 48 - 3b which simplifies to 8b = 48. Thus, b = 48/8, which means there are 6 black pieces on the board.
leona grew 7/8 of an inch this year. her sister grew 3/4 of an inch. who grew more.
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Leona 7/8
that would mean Leona grew more.
Hope that's helps!
A store is having a sale where winter clothes are 60% of the original price. A sweater is on sale for$30. What was the original price
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0.6*x = 30
30/0.6 = x
x = 50
The original price is $50
How many thirds are in - 4 2/3
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The number of thirds in ( -4 2/3 ) is given by the equation A = -14
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the number be represented as n
And , the value of n = - 4 2/3
On simplifying the equation , we get
n = ( -12 -2 ) / 3
n = -14/3
Now , the number of thirds in the number n is A = n / ( 1/3 )
Substituting the values in the equation , we get
A = ( -14/3 ) / ( 1/3 )
On simplifying the equation , we get
A = -14
Hence , the equation is A = -14
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More the 50 but less than 70 with multiples of 4 and 7
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2^3*7=56 is the only possibility
What is 634 divided by 29
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21.862069
Any calculator can give you this answer. If you need to use long division, do it normally. The first number you do will equal zero, but that is normal.
Is √65 between 6 and 7 on a number line
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a golf practice range has 245 balls. the owner bought a carton of golf ball. how many golf balls does the owner have after buying the carton? 12 balls ti a box 15 boxes to a crate 5 crates to a carton
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1. Solve: |x| = 5
{-5}
{-5, 5}
{5}
{-1, 5}
2. Solve: | m + 8| = 16
{-24, 8}
{8, 16}
{8}
{-24}
3. Solve: |2n - 3| = 5
{1, -4}
{-1, 1}
{-1, 4}
{1, 4}
4. Solve: |x/3 + 1| = 6
{-21, 15}
{-7, 15}
{-15, 21}
{7, 15}
5. Solve |2 - 3x| = 7.
{-3, 5/3}
{-3, 15}
{-5/3, 3}
{-15, 3}
6. Solve |2y - 2| = y.
{2/3, 2}
{1/3, 2}
{2, 5}
{2, 3}
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___________
1) [B]: {-5, 5}
2) [A]: {-24, 8}
3) [C]: {-1, 4}
4) [A]: {-21, 15}
5) [C]: {-5/3, 3}
6) [A]: {⅔, 2}
____________
Explanation:
_________________
2) "Solve: | m + 8| = 16 "; Assuming we are to solve for "m"; we would use:
____________
"Case 1" and "Case 2" scenarios;
_______________
since we need to find the value for "m" when:
__________________
Case 1: (m + 8) = 16; AND:
_____________
Case 2: - (m + 8) = 16 .
_________________
→ Let's solve, starting with Case 1:
_____________________
m + 8 = 16; → Subtract "8" from EACH SIDE of the equation;
_____________________
→ m + 8 − 8 = 16 − 8 ; → To get: → m = 8
______________
→ Let us solve for "Case 2" :
____________
- (m + 8) = 16 ;
__________________________
Note the distributive property of multiplication:
_____________________
→ a*(b + c) = ab + ac ;
___________________________
→ As such: - (m + 8) = 16 ;
____________________________
Consider this equation as:
_____________________
- 1(m + 8) = 16 ;
_______________________
→ Note the "-1" is implied, since anything multiplied by "1" is that same thing. The "negative" in the "negative 1" comes from the "negative sign" already present.
_________________________
→ - 1(m + 8) = 16 ; → (-1*m) + (-1*8) = 16 ;
→ -1m + (-8) = 16 ; → Rewrite as: -1m − 8 = 16 ;
_______________
→ Add "8" to EACH SIDE of the equation ; → -1m − 8 + 8 = 16 + 8 ;
→ to get: -1m = 24 ;
________________
→ Divide EACH SIDE of the equation by "-1"; to isolate "m" on one side of the equation; & to solve for "m" ; → -1m / -1 = 24 / -1 ; → m = -24
_____________
So we have: m = 8; and m = -24 ; which is: "Answer choice: [A]: {-24, 8}" .
_____________________
3) Given: |2n - 3| = 5 ; Solve for "n" ;
_______________
Case 1: 2n − 3 = 5 ;
_______________
→ Add "3" to EACH side of the equation; 2n − 3 + 3 = 5 + 3 ; → 2n = 8 ;
→ Now, divide EACH SIDE of the equation by "2"; to isolate "n" on one side of the equation; and to solve for "n"; → 2n / 2 = 8 / 2 ; → n = 4 .
__________
Case 2: - (2n − 3) = 5 ;
_________________
Simplify: - (2n − 3); → - 1(2n − 3) = (-1*2n) − (-1*3) = -2n − (-3) = -2n + 3 ;
_________________
→ Rewrite the equation, "- (2n − 3) = 5 " ; as:
→ -2n + 3 = 5; → Now, subtract "3" from EACH side of the equation:
→ -2n + 3 − 3 = 5 − 3 ; → -2n = 2 ;
_____________
→ Divide EACH SIDE of the equation by "-2"; to isolate "n" on one side of the equation; and to solve for "n" ; → -2n / -2 = 2 / -2 ; → n = -1 .
→ So, n = 4, AND -1; which is: Answer choice: [C]: {-1, 4} .
__________________________
4) Given: |x/3 + 1| = 6 ; Solve for "x";
____________
Case 1: (x/3) + 1 = 6; Subtract "1" from EACH side of the equation;
_______________
→ (x/3) + 1 − 1 = 6 − 1 ; → (x/3) = 5 ; → x = 5*3 = 15
_____________
Case 2: - [ (x/3) + 1] = 6; → -1 [(x/3) + 1] = 6 ; → [-1*(x/3) ] + (-1*1) = 6 ;
______________
→ - (x/3) + (-1) = 6 ; → - (x/3) − 1 = 6 ;
→ Add "1" to EACH side of the equation:
→ - (x/3) − 1 + 1 = 6 + 1 ; → - (x/3) − 1 + 1 = 6 + 1 ;
→ - (x/3) = 7 ↔ -x / 3 = 7; -1x = 7*3 ; → -1x = 21;
____________
→ Divide EACH SIDE of the equation by "-1"; to isolate "x" on one side of the equation; & to solve for "x" ;
____________
→ -1x / -1 = 21 / -1 ; → x = -21;
So, x = 15, AND -21; which is: Answer choice: [A]: {-21, 15} .
_____________
5) Given: |2 − 3x| = 7 ; Solve for "x";
__________
Case 1: (2 − 3x) = 7
______________
Given: 2 − 3x = 7 ; → Subtract "2" from EACH side of the equation;
______________
→ 2 − 3x − 2 = 7 − 2 ; → to get: -3x = 5 ;
____________
→ Now, divide EACH side of the equation by "-3"; to isolate "x" on one side of the equation; and to solve for "x" ; → -3x / =3 = 5/ -3 = - (5/3).
________
→Case 2: -(2 − 3x) = 7 ; Simplify,
________________________
Note: The distributive property of multiplication:
→ a*(b + c) = ab + ac ; AND: → a*(b − c) = ab − ac ;
__________
→ - (2 − 3x) = 7 ; → -1(2 − 3x) = 7 ; → (-1*2) − (-1*3x) = 7 ;
_________
→ - 2 − (-3x) = 7 ; → - 2 + 3x = 7 ; → Add "2" to EACH side of the equation ;
→ - 2 + 3x + 2 = 7 + 2 ; → 3x = 9 ;
____
→ Now, divide EACH side of the equation by "3"; to isolate "x" on one side of the equation; and to solve for "x" ; → 3x / 3 = 9 / 3 ; x = 3;
_____
So, x = - 5/3; AND 3; which is: Answer choice: [C]: {-5/3, 3} .
________________________
6) Given: |2y − 2| = y ; Solve for "y";
____________
Case 1: 2y − 2 = y;
__________
→ Subtract "y" from EACH SIDE of the equation;
___________
→ 2y − 2 = y ; → 2y − 2 − y = y − y ; → y − 2 = 0 ;
_____________
→ Add "2" to EACH SIDE of the equation; to isolate "y" on one side of the equation; & to solve for "y" ; → y − 2 + 2 = 0 + 2 ; → y = 2
________________
Case 2: - (2y − 2) = y
_________________________
→ Simplify: - (2y − 2); → -1(2y − 2) = (-1*2y) − (-1*2) = -2y - (-2) = -2y + 2 ;
→ Rewrite: - (2y − 2) = y ; as: → -2y + 2 = y ;
→ Add "2y" to EACH SIDE of the equation:
→ -2y + 2 + 2y = y + 2y ; → 2 = 3y ;
→ Now, divide EACH side of the equation by "3"; to isolate "y" on one side of the equation & to solve for "y" ;
→ 2 / 3 = 3y / 3 ; → ⅔ = y ↔ y = ⅔ ; so y = 2, AND ⅔; which is:
→ Answer choice: [A]: {⅔, 2}
________________
write a numerator that makes the statement true..
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any number less than 6 in numerator will work
since 6/10=.6
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a scuba diver dives to a depth of 50 feet, sinks 12 feet, then rises 20 feet. what is the diver's final position relative to sea level?
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We start at the point 0. We go down to the point -50, after the diver dives down to a depth of 50 feet. "Sink" is to go down, so we go down to -62 because -50-12=-62. "Rise" is to go up, so we go up to -42 because -62+20=-42.
The diver's final position relative to sea level would be at 42 feet.
A number k increased by 7 is 34
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How many 3/4 are in 7/8
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To determine how many 3/4 are in 7/8, you would divide the first fraction by the second, which involves multiplying 7/8 by the reciprocal of 3/4 (which is 4/3), resulting in approximately 1.17.
Explanation:To find out how many 3/4 are in 7/8, you have to divide 7/8 by 3/4. Division in fractions requires the multiplication of the first fraction by the reciprocal of the second fraction.
So, the reciprocal of 3/4 is 4/3. Now, you multiply 7/8 by 4/3 to get:
(7/8) * (4/3) = 7*4 / 8*3 = 28/24
Simplify the fraction 28/24 by dividing both numbers by their greatest common divisor, which is 4, resulting in the fraction 7/6.
So, there are 7/6, or about 1.17 times of 3/4 in 7/8.
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solve and SHOW WORK
A fax machine can transmit 48 pages in 6 minutes.
a.) How many pages can the fax machine transmit per minute?
b.) How many pages can the fax machine transmit in 10 minutes?
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b.) We can write a proportion and just solve for how many pages the fax machine can transmit knowing the unit rate of 8 pages per minute. (I prefer the latter option.) So we just multiply: [tex]\text{8 pages per minute } \times \text{ 10 minutes} = \text{80 pages} [/tex]
b. 8/1 x 10 = 80 pages in ten minute.
What is something times 4 equal 40
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Compare the minimum,maximum,and median of the box plot
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A box plot graphically represents a dataset with five key points, including the minimum, median, and maximum values, which provide insights into the dataset's range, central tendency, and distribution.
A box plot, or box-and-whisker plot, is a graphical representation of a dataset that includes five key data points: the minimum value, the first quartile (Q1), the median (Q2 or second quartile), the third quartile (Q3), and the maximum value.
The minimum and maximum values determine the ends of the whiskers on the plot and give a visual representation of the range of the dataset. The first and third quartiles represent the edges of the box and span the interquartile range (IQR), which encompasses the middle 50% of the data. The median is represented by a line within the box and indicates the central value of the dataset.
When comparing the minimum, maximum, and median values on a box plot, we are essentially examining the range of the data, its central tendency, and its spread. The position of the median within the box can indicate skewness in the data, with a median closer to the lower quartile suggesting a right skew and a median closer to the upper quartile suggesting a left skew.
What is 30% of 32.95
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30% =30/100=0.30
'of' means multiply
30% of 32.95 means
0.3 times 32.95=9.885
30% of 32.95=9.885
3+4(10-8)? I have to simplify
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so we start with the order so its parenthesis so 10 minus 8 is to and are the question now looks like this: 3 + 4 2
Now when are two numbers together and they don't have a sign we multiplied together.
it looks like 3+4x2
Now we multiply because we follow the rule.
now it looks like this: 3+8
Now 3 plus 8 is 11 so your answer is 11
Hope I had helped.
The simplified form of the expression 3 + 4(10 - 8) is 11.
Here, we have,
To simplify the expression 3 + 4(10 - 8), you can follow the order of operations, which is often remembered using the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction):
Step 1:
Start by evaluating the expression inside the parentheses: 10 - 8 = 2.
Now, the expression becomes 3 + 4(2).
Step 2:
Next, perform the multiplication: 4 * 2 = 8.
The expression now becomes 3 + 8.
Step 3:
Finally, perform the addition: 3 + 8 = 11.
Therefore, the simplified form of the expression 3 + 4(10 - 8) is 11.
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A movie rental website charges $5.00 per month for membership and $1.25 per movie.
Marisa has $18.50 this month to spend on movie rentals. How many movies can she view this month?
She thinks she can afford 11 movies in 1 month. What mistake could she be making?
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let the variable m stand for the amount of movies andrew rents.
5.00+1.25m=16.25
Now that we have our equation, we can just solve it like any other equation.
To do this, first, we would subtract 5.00 from both sides, resulting in the equation
1.25m=11.25
Next, we would divide both sides by 1.25, resulting in your final answer
m=9.
This means that Andrew rented 9 movies if his total was 16.25
three diferent fractions that are all equivalent to 2/3 and that have an odd denominator list three fractions that the students might have given
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Which figures are similar?
A.
B ~ D and A ~ C
B.
A ~ C
C.
B ~ D and E ~ F
D.
B ~ D and E ~ F and A ~ C
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The Algebraic Phrase is c + 6. What is the Verbal Phrase ?
The Algebraic Phrase is 6d. What is the Verbal Phrase?
The Algebraic Phrase is p + 12 =18. What is the Verbal Phrase?
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2) the verbal phrase would be: six times a number
3) the verbal phrase would be: a number plus twelve equals eighteen
Answer:
1) the verbal phrase would be: a number plus six
2) the verbal phrase would be: six times a number
3) the verbal phrase would be: a number plus twelve equals eighteen
the united states gets about 39% of its energy from petroleum. Express 39% as a decimal.
Answers
So, 39%->.39
What equation is graphed in this figure? HELP PLEASE
A .y−4=−23(x+2)y−4=−23(x+2)
B. y+1=−23(x−3)y+1=−23(x−3)
C. y+2=−32(x−2)y+2=−32(x−2)
D. y−3=32(x+1)
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The Correct Answer Would Be C. y+2=−32(x−2)y+2=−32(x−2)
Just Took The Test Got 100%
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