Dawn reads 3.75 pages per day. At this rate, a favorite novel that she completes in 28 days contains 105 pages.
Explanation:This is a problem of rates and proportions.
Part A: To find out how many pages Dawn reads in a day, we divide the total pages she reads in 8 days by the number of days. Going by the data, if she reads 30 pages in 8 days, then, using the proportion, Dawn reads 30/8 = 3.75 pages per day.
Part B: To find out how many pages Dawn's favorite novel has, we multiply the rate (pages/day) by the number of days. So, if she takes 28 days to read the novel at a rate of 3.75 pages per day, then by using the multiplication principle, the novel has 3.75 pages/day * 28 days = 105 pages.
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The diameter of a circle is the same length as the side of a square . The perimeter of the square is 16 cm . Find the diameter of the circle . Then find the circumference of the circle in terms pie?
Write 70 in prime factor form
Determine the time needed to deliver 72 papers at a rate of nine papers in 18 minutes
Why do plants produce bright, colorful flowers and structures designed to disperse their seeds?
HELP YOU ONLY HAVE TO ANSWER 1 BUT YOU CAN DO ALL IF YOU WANT
1. Kim's age is twice that of her sister. When you add Kim's age to her sister's age, you get 36. How old is each sister?
(a) Write an equation that represents the situation. Explain any variable used.
(b) Solve the equation from Part (a). Show your work. State your solution as a complete sentence.
2. Solve each given equation and show your work. Tell whether it has one solution, an infinite number of solutions, or no solutions, and identify each equation as an identity, a contradiction, or neither.
(a) 6x + 4x - 6 = 24 + 9x
(b) 25 - 4x = 15 - 3x + 10 - x
(c) 4x + 8 = 2x + 7 + 2x - 20
3. At a bargain store, Tanya bought 3 items that each cost the same amount. Tony bought 4 items that each cost the same amount, but each was $2.25 less than the items that Tanya bought. Both Tanya and Tony paid the same amount of money. What was the individual cost of each person's items?
(a) Write an equation. Let x represent the cost of one of Tanya's items.
(b) Solve the equation. Show your work.
(c) Check your solution. Show your work.
(d) State the solution in complete sentences.
an auto transport truck holds 12 cars. A car dealer plans to bring in 1006 new cars in June and July. if an auto transport truck is filled for each delivery, except for the last one, how many full truckloads are needed and how many cars will be in the last truck?
divide 1006 by 12
1006 / 12 = 83.833
so 83 full trucks
83 *12 = 996
1006-996 = 10 cars will be on the last truck
To transport 1006 cars, 84 full truckloads are needed, with 10 cars in the last truck.
Explanation:To calculate the number of full truckloads needed, we divide the total number of cars (1006) by the number of cars a truck can hold (12).
1006 / 12 = 83.83...
Since we can't have a fraction of a truckload, we round up to the nearest whole number.
Therefore, we need 84 full truckloads.
To find the number of cars in the last truck, we subtract the number of cars in the full truckloads from the total number of cars.
1006 - (83 * 12) = 1006 - 996 = 10
So, the last truck will have 10 cars.
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1. Do you agree with Alex's choice of jobs? Why or why not? (1 point)
convert 86,000 cm to km. Show all of your work
7,231 divided by 24 is?
Solve the system of equations by substitution.
x + y =
x + 7y = 8
Identify the solutions of the inequality 11 ≤ p + 5.
all real numbers greater than 6
all real numbers less than or equal to 6
all real numbers greater than or equal to 6
all real numbers less than 6
If 1/72x=1/9 then what does 96/x equal???
find the value of x. the diagram is not to scale.
opposite angles are equal so where the 110 is outside the triangle, it is also 110 inside the triangle.
the 3 angles need to = 180
so you have 110 + 57 = 167
x = 180-167 = 13
x = 13
What is the answer to this equation 42 =7(z-3)
solve the equation for y
-4 ( y - 2 ) = -8
y = ??
15 points!
What is the equation of this graphed line?
Enter your answer in slope-intercept form in the box.
Answer:
[tex]y=2x+2[/tex]
Step-by-step explanation:
step 1
Find the slope
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
we have
[tex]A(-4,-6)\ B(2,6)[/tex]
Substitute the values
[tex]m=\frac{6+6}{2+4}[/tex]
[tex]m=\frac{12}{6}=2[/tex]
step 2
we know that
The equation of the line into slope intercept form is equal to
[tex]y=mx+b[/tex]
we have
[tex]m=2[/tex]
[tex]B(2,6)[/tex]
substitute and solve for b
[tex]y=mx+b[/tex] ------> [tex]6=(2*2)+b[/tex]
[tex]6=4+b[/tex]
[tex]b=2[/tex]
The equation of the line is equal to
[tex]y=2x+2[/tex]
The equation below shows the total volume (V),in cubic units, of 2 identical boxes with each side equal to s units:
V = 2s3
If s = 3.5 units, what is the value of V?
A: 21.0 cubic units
B: 24.5 cubic units
C: 36.75 cubic units
D: 85.75 cubic units
when [tex]$s = 3.5$[/tex] units, the total volume V of the two identical boxes is 85.75 cubic units. So option (d) is correct.
To find the total volume V of two identical boxes, we use the formula $V [tex]= 2s^3$[/tex], where s represents the length of a side of the box.
Given that s = 3.5 units, we substitute this value into the equation:
[tex]$$V = 2 \times (3.5)^3$$[/tex]
First, calculate the cube of 3.5:
[tex]$$(3.5)^3 = 3.5 \times 3.5 \times 3.5 = 42.875$$[/tex]
Now, multiply the result by 2 to find V:
[tex]$$V = 2 \times 42.875 = 85.75$$[/tex]
So, when [tex]$s = 3.5$[/tex] units, the total volume V of the two identical boxes is 85.75 cubic units.
Find f(2) if f(x) = 2x + 1. Plz help
A)
3
B)
5
C)
7
D)
9
Answer:
B) [tex]f(2)=5[/tex]
Step-by-step explanation:
1. Write the function given:
[tex]f(x)=2x+1[/tex]
2. Find f(2) means to evaluate the function when x=2, so you need to replace x with the number 2, that is:
Replacing x with the number 2:
[tex]f(2)=2*(2)+1[/tex]
Multypling numbers:
[tex]f(2)=4+1[/tex]
Adding the numbers:
[tex]f(2)=5[/tex]
Therefore the answer is B) 5
I need help with these three questions (please help me turn them into algebraic form) Thanks!
1.the quotient of five and the difference of a number and three
2.the product of a number and twenty decreased by eleven
3.the difference of thirty and a number, multiplied by two
6 times the sum of a number t and 5 is s
The verbal statement '6 times the sum of a number t and 5 is s' is translated into the algebraic equation 6(t + 5) = s, which is a linear equation used to solve for either t or s.
Explanation:The student's question involves creating an algebraic equation from a verbal statement. In this case, the expression '6 times the sum of a number t and 5 is s' can be translated into an algebraic equation. To do so, we first represent the sum of the number t and 5 as (t + 5). We then multiply this sum by 6 to represent '6 times the sum', which gives us the equation 6(t + 5) = s.
This equation allows us to solve for the number t when s is known, or vice versa. It is a basic linear equation that can be used in various mathematical problems to determine the value of s given a specific t, or to find t when s is known.
A tortoise is walking in the desert. It takes
4
minutes to walk
6.4
meters. What is its speed?
mia's garden is in the shape of a rectangle that measures about 29 meters long and 25 meters wide. what is the distance around mia's garden?
A stack of 8 books weighs 9.6 pounds. If each book weighs the same amount, how much does each book weigh?
44x10 to the power of 4
26,000 rounded to NEAREST ten thousand
The value after rounding 26,000 to its nearest ten thousands is 30,000.
Given,
26,000
We need to round to its nearest ten thousands.
What is the place value of a number?Example:
235678
8 - ones
7 - tens
6 - hundreds
5 - thousands
3 - ten thousands
2 - hundred thousands
Round 26,000 to its nearest ten thousand.
26,000
2 is in ten thousands place value.
So we need to round either to 20,000 or 30,000.
Since 26000 > 2499 we will round to 30,000.
= 30,000
Thus 30,000 is our answer.
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Do you agree or disagree with the statement: "A rise of -7°C" means "a fall of 7°C"? Explain.
Estimating division 83 into 235
round 241,63 to the nearest thousand
You are a member of darts team and they have won £1750 prize money in a competition. £70 is to be saved for a celebration party; the remainder is to be divided equally between the 14 team members. How much will you get ?
Item 9
Evaluate
(3−1)
3
+7(6)−
5
2
(3−1)3+7(6)−52
.
To evaluate the expression (3-1)³ + 7(6) - 5/2, simplify the components individually and then substitute the values back into the expression to find the final result of 47.5.
Evaluate the expression:
(3-1)³ + 7(6) - 5/2
First, we simplify the expression:
(3-1)³ = 2³ = 8
7(6) = 42
5/2 = 2.5
Substitute these values back into the expression: 8 + 42 - 2.5 = 47.5