To find out how much money Roger saved in all, we need to determine the number of nickels and pennies he saved. We can then calculate the value of each type of coin and add them together.
Explanation:To find out how much money Roger saved in all, we need to first determine the number of nickels and pennies he saved. Let's assume the number of nickels is 'x'. According to the question, Roger saved 5 times as many nickels as pennies, so the number of pennies would be x/5.
Next, we are given that Roger saved 20 more pennies than nickels. This means that the number of pennies is 20 more than the number of nickels, or x/5 + 20.
To find the total amount of money saved, we need to calculate the value of the nickels and pennies and add them together. The value of x nickels is 5x cents, and the value of x/5 + 20 pennies is (x/5 + 20) * 1 cent. Adding these two amounts together, we get 5x cents + (x/5 + 20) cents. To simplify, we can combine the x/5 term and the 20 term, which gives us 5x + (x/5) + 20 cents.
Therefore, Roger saved a total of 5x + (x/5) + 20 cents.
Hanna walks 1 2/3 miles to school. After school she walks 1 1/2 mikes to work. How many miles does she walk before and after school?
Hanna walks a total of 3 1/6 miles before and after school.
To find how many miles Hanna walks before and after school, we can add the distances she walks to school and to work.
Distance to school = 1 2/3 miles
Distance to work = 1 1/2 miles
To find the total distance Hanna walks before and after school, add the two distances:
Total distance = 1 2/3 + 1 1/2
To add these fractions, we need to convert them to have a common denominator, which is 6:
1 2/3 = (3/3 + 2/3) = 5/3
1 1/2 = (3/2)
Now, we can add the fractions:
Total distance = 5/3 + 3/2
To add these fractions, we need to have a common denominator, which is 6:
Total distance = (5/3) * (2/2) + (3/2) * (3/3)
Total distance = 10/6 + 9/6
Now, add the fractions:
Total distance = 19/6
We can simplify this fraction:
Total distance = 3 1/6 miles
So, Hanna walks a total of 3 1/6 miles before and after school.
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212x−34(2x+5)=38
which one
a) x=−458
b) x=−338
c) x=418
d) x=538
Answer:
c
Step-by-step explanation:
Domain of the function of a graph with coordinates (-3,-2)
Answer:
Domain is -3
Step-by-step explanation:
Given that coordinate of a graph is (-3, -2)
We have to find out the domain.
We know that if A and B are two sets, a mapping from A to B is the subset of cartesian product AxB.
Domain is the set of values of A which have images in B.
Use the above definition.
We have A = {-3,...} and B = {-2,....}
The mapping is from -3 to -2
Hence domain is -3
Answer any of these questions and still get a good rating if you are correct. (Also this is multiplication with fractions)
1.What is the product in simplest form?
−8/9⋅5/6
2.What is the product?
Enter your answer as a fraction, in simplified form, in the box.
−4/5⋅10/16
3.(−2.1)⋅(−1.4)
stacey buys 6 pounds of chicken for $39. How much will she pay for 11 more pounds of chicken.
So she pays 6 lb of chicken for $39 then $39/6 = $6.30 is the price per pound.
11lb + 6lb = 17lb total of chicken then multiply it by the price per pound
17($6.50) = $110.50
Final answer:
Stacey will pay $71.50 for 11 more pounds of chicken.
Explanation:
To figure out how much Stacey will pay for 11 more pounds of chicken, we can use the given information that she bought 6 pounds of chicken for $39.
First, we need to find the cost of chicken per pound. To do this, we divide the total cost of chicken ($39) by the number of pounds (6). So, $39 / 6 = $6.50 per pound.Next, we can calculate the cost of 11 more pounds of chicken by multiplying the cost per pound ($6.50) by the number of pounds (11). So, $6.50 * 11 = $71.50.Therefore, Stacey will pay $71.50 for 11 more pounds of chicken.
Which expression is equivalent to 3/4 - 1/2?
Determine the measure of the unknown labeled angles in the diagram above
Find f if f(x)=23; 23= x²+7
The dimensions of a rectangle can be given by x+7 and x+2. If the area of the rectangle is 66 square inches, what are the dimensions of the rectangle?
to solve for the dimensions (x+7)(x+2)=66,
we can first use the foiling method to simplify the left side.
x^2 + 2x + 7x + 14 = 66
x^2 + 9x + 14 = 66
now, subtract 66 from both sides.
x^2 + 9x - 52 = 0
now, split this into two parentheses.
(x + 13)(x - 4)
since the root of -13 would give you negative values, x=4. This means that the dimensions of the rectangle are 11 and 6.
The dimensions of the rectangle is 11 by 6 inches
How to determine the dimensions?The dimensions are given as:
x + 7 and x + 2
The area is given as:
Area = 66
The area of a rectangle is:
Area = Length * Width
So, we have:
(x + 7) * (x + 2) = 66
Express 66 as 11 * 6
(x + 7) * (x + 2) = 11 * 6
By comparison, we have:
x + 7 = 11 and x + 2 = 6
Solve for x
x = 4 and x = 4
Substitute 4 for x in x + 7 and x + 2
x + 7 = 4 + 7 = 11
x + 2 = 4 + 2 = 6
Hence, the dimensions of the rectangle is 11 by 6 inches
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a baseball coach bought some bats and gloves for the school's baseball team.the bats cost $20 to $35,and gloves cost $30 to $60.which of this does not represent a reasonable total purchase price for 15 bats and 12 gloves
A.$1,350
B.$890
C.$1,200
D.$705
Max cost of 15 bats = 15 x 35 = $535
Min cost of 15 bats = 15 x 20 = $300
Max cost of 12 gloves = 12 x 60 = $720
Mix cost of 12 gloves = 12 x 30 = $360
Min total cost = 360 + 300 = $660
Max total cost = 535 + 720 = $1255
The range is from $660 to $1255
=============> Answer (A) is out of the range
Can some one help me plz??
Combine like terms to simplify the expression. 5x + 4 + 2x + 5
7x+9
5x+2x= 7x
5+4=9
7x + 9 is the result when combining like terms.
Answer:
7x+9
Step-by-step explanation:
Add the numbers
5x + 4 + 2x + 5
5x+9+2x
Combine like terms
5x+9+2x
7x+9
Solution:
7x+9
Solve this linear system by graphing
x-y=6
2x=12+2y
To solve the linear system by graphing, convert the equations to slope-intercept form, plot the lines, and find the point of intersection.
Explanation:To solve the given linear system by graphing, we need to graph both equations on the same coordinate plane and find the point of intersection.
Step 1: Convert both equations into slope-intercept form, y = mx + b.
Step 2: Plot the y-intercepts (b values) of both equations and use the slopes (m values) to draw the lines.
Step 3: The point where the lines intersect is the solution to the system of equations. In this case, the solution is x = 6 and y = 0.
−(7y+0.6)=3.6−y
PLEASE ANSWER QUICKLY
Answer:
y=-0.7
Step-by-step explanation:
−(7y+0.6)=3.6−y
-7y+-0.6=3.6−y
-6y+-0.6=3.6
-6y=4.2
y=-0.7
value of 3x^2 +4y^2 if x=2, y=1, and z= -3
[tex]3x^2+4y^2\\\\\text{Put the values of x=2, y=1 and z=-3 to the expression:}\\\\3(2^2)+4(1^2)=3(4)+4(1)=12+4=16[/tex]
Substituting the provided values of x and y into the equation 3x^2 +4y^2 gives a final result of 16.
Explanation:The question is asking for the value of the mathematical expression 3x^2 +4y^2 when x is 2 and y is 1. To find this, we substitute the values of x and y into the expression.
Substitute x = 2 into the equation: 3*(2)^2 = 3*4 = 12 Substitute y = 1 into the equation: 4*(1)^2 = 4*1 = 4 Add the results: 12 + 4 = 16
Therefore, the value of 3x^2 +4y^2 when x=2 and y=1 is 16.
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Write the numerical expression for the product of 8 and the sum of 9 and 11.3. Then evaluate it.
Solution: The numerical expression is [tex]8\times (9+11.3)[/tex] and the value of this expression is 162.4.
Explanation:
The sum of 9 and 11.3 is written as [tex](9+11.3)[/tex].
The product of 8 means the expression should multiply by 8.
According to the given information the the product of 8 and the sum of 9 and 11.3 is written as [tex]8\times (9+11.3)[/tex].
To evaluate the value of the expression first we have to add 9 and 11.3 after that multiply the result by 8.
[tex]8\times (9+11.3)=8\times (20.3)\\8\times (9+11.3)=162.4[/tex]
Therefore, the numerical expression is [tex]8\times (9+11.3)[/tex] and the value of this expression is 162.4.
Answer:
162.4
Step-by-step explanation:
To write the numerical expression for the product of 8 and the sum of 9 and 11.3 we need to follow these steps:
Sum of 9 and 11.3 is given as follows:
[tex](9+11.3)[/tex]
Now the product of 8 and the sum of 9 and 11.3 is:
[tex]8(9+11.3)[/tex]
So the required expression is:
[tex]8(9+11.3)[/tex]
Solving the above expression we get:
[tex]8(9+11.3)=8(20.3)=8 \times 20.3=162.4[/tex]
The cost of driving a car includes both fixed costs and mileage cost. Assume that a costs $176.10 per month for insurance and car payments and $0.25 per mile for gasoline, oil, and routine maintenance.
$176.10 per month for insurance and car payments and $0.25 per mile for gasoline, oil, and routine maintenance.
(a) find values for m and b so that y=mx+b Modells the monthly cost of driving the car X miles
(B) what does the value of b represents ?
Y=.25x+176.10 Y is the monthly cost and B would be the cost of the insurance every month. X is the amount of miles driven since the .25 stays constant but the amount of miles you drive in a month is different every month, Hence, needs to be a variable that can be adjusted,
A - The value of b, $176.10, represents the fixed costs like insurance and car payments, which remain constant regardless of the number of miles driven. B - It serves as the baseline monthly cost for driving the car.
(a) To model the monthly cost of driving the car (y) in terms of the number of miles driven (x), you can use the equation y = mx + b, where:
y represents the monthly cost of driving the car.
x represents the number of miles driven.
m represents the cost per mile for gasoline, oil, and routine maintenance, which is $0.25 in this case.
b represents the fixed costs, including insurance and car payments, which are $176.10 per month.
So, the values for m and b in this scenario are:
m = 0.25 (the cost per mile)
b = 176.10 (the fixed monthly costs)
Therefore, the equation to model the monthly cost of driving the car is:
y = 0.25x + 176.10
(b) The value of b, which is 176.10 in this equation, represents the fixed costs associated with driving the car. In this case, it includes the monthly insurance and car payment expenses. These are costs that do not depend on how many miles you drive.
Instead, they remain constant every month. So, b represents the baseline or starting point for the monthly cost of driving the car. Even if you were to drive zero miles in a month, you would still have to pay these fixed costs.
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Find n so that number sentence below is true and explain your answer, referencing the relevant properties of exponents
Ugh, I hate FLVS. I'm not exactly sure, but i know that 2 to the 12 power is 24, and 2 to the fourth power is 8. Sorry I'm not being very helpful.
Please help. I will reward brainly
Positive, 72 minus negative 9 is the same thing as 72+9, which equals 81. So the answer is positive
What does a represent?
A.foci
B. Minor axis
C. Major axis
S. Vertices.
Lamar is solving the equation x2−12x=−6 by completing the square. Which shows Lamar's next step and the solution to the equation?
To solve the equation x²−12x=−6, Lamar should first move the constant to the other side and complete the square, leading to x = 6 ±√30. This equation, which is a type of quadratic or second-order polynomial, may have two solutions, a typical characteristic of such equations.
Explanation:The equation presented is x²−12x=−6. To solve this equation by completing the square, we first move the constant term to the other side, which leads to x² - 12x = -6, or x² - 12x + 36 = -6 + 36. We added 36 on both sides because (12/2)² = 36, which is a step in completing the square for the equation. Thus, we have (x-6)² = 30. Now, solve for x: x - 6 = ±√30, so x = 6 ±√30.
This method, known as completing the square, is a typical approach to solving quadratic equations. The general quadratic equation ax²+bx+c = 0 can also be solved using the quadratic formula -b ± √(b² - 4ac) / 2a. With both methods, remember that a quadratic equation will usually have two solutions, as it is a second-order polynomial.
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Miss Kincaid is 65 inches of ribbon is your post to instantly 5 inches of ribbon how many students get a 5 inch piece of ribbon
To determine the number of 5-inch pieces of ribbon that can be obtained from a 65-inch ribbon, divide the total length by the length of each piece. So, 13 students can each get a 5-inch piece of ribbon from the 65-inch ribbon.
Explanation:To determine how many 5-inch pieces of ribbon can be obtained from 65 inches of ribbon, we divide the total length of the ribbon by the length of each piece. So, we divide 65 by 5:
Therefore, 13 students can each get a 5-inch piece of ribbon from the 65-inch ribbon.
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John and his family went out to eat at the bill of the food was $65 and it has a 20% tip what was the total cost other meal including the tip
$78
$65x.20=13
65+13=$78
Find the original price of a pair of shoes if the sale price is $45 after a 25% discount
$60
$45 is 75% of the original price. 75/3 is 25, so divide 45/3=15. $15 is 1/4 of the original price. 15*4=60
The original price of the pair of shoes is $60.
To find the original price of a pair of shoes, we can use the given information that the sale price is $45 after a 25% discount.
Let's assume the original price of the shoes is "x" dollars.
The discount of 25% means that the sale price is equal to 75% (100% - 25%) of the original price.
Mathematically, we can express this as:
Sale price = Original price * (Discount percentage in decimal form)
$45 = x * (0.75)
To find the original price (x), we divide both sides of the equation by 0.75:
$45 / 0.75 = x
x = $60
Therefore, the original price of the pair of shoes is $60.
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I really need some help so please help me!!!
I'll mark brainliest for the best answer please!!!
here is the options
2.50
20
the daily profit of the taxi cab driver
the initial fee before any miles are traveled
3
the cost per mile traveled
q-r=r, for r formula for the variable
3y^2/9y^4 state restrictions and simplify
Step 1. Take out the constants
3/9 y^2y^4
Step 2. Simplify 3/9 to 1/3
1/3 y^2y^4
Step 3. Simplify
y^2y^4/3
Step 4. Use the Product Rule
y^2 + 4/3
Step 5. Simplify 2 + 4 to 6
y^6/3
I need help solving this question
C.
Combine like terms when adding f(x) and g(x) 2x^2 + x^2 and 1 + (-7) = 3x^2 - 6
challenge questions 1
9)
[tex]\frac{24z^{5}y^{4}}{3z^{-2}y^{5}} = \frac{24}{3}*\frac{z^{5}}{z^{-2}}*\frac{y^{4}}{y^{5}} = \frac{8}{1} *\frac{z^{5+2}}{1}*\frac{1}{y^{5-4}} = \frac{8z^{7} }{y}[/tex]
11)
(a²b)³ = a²⁽³⁾b¹⁽³⁾ = a⁶b³
12)
The exponent tells you how many places to move the decimal. The positive/negative sign tells you which direction to move the decimal (negative is left, positive is right).
8.4 x 10⁻⁵ move the decimal 5 places to the left = 0.000084
Martha earns $12.47 per hour. John makes 3 times as much as Martha. How much does John earn per hour?
A.$36.00
B.$37.21
C.$37.41
D.$36.41
PLEASE HELP ME ASAP
The answer is C.37.41