Final answer:
The total length of the string before being cut was 319 cm. The bookstore, given the ratio of 6:5:9 for fiction books, textbooks, and workbooks, sold a total of 1650 fiction books and textbooks in a month.
Explanation:
Answer to String Ratio Problem
Let's represent the length of the longest piece of string as 5x, the medium piece as 4x, and the shortest piece as 2x, based on the given ratio 5:4:2. According to the problem, the longest piece is 87 cm longer than the shortest piece. Thus, we have:
5x - 2x = 87 cm
3x = 87 cm
x = 29 cm
Now, to find the total length of the string before cutting, we add up all the pieces:
Total length = 5x + 4x + 2x = 11x = 11(29 cm) = 319 cm
So, the string was 319 cm long before it was cut.
Answer to Bookstore Ratio Problem
In the bookstore problem, we're given the ratio of fiction books, textbooks, and workbooks sold as 6:5:9, respectively, and that 1350 workbooks were sold. If we denote the common ratio multiplier as y, we can represent the amounts of each as follows:
Fiction books = 6y, Textbooks = 5y, Workbooks = 9y = 1350
To find y, we solve 9y = 1350:
y = 150
Now, we can calculate the total number of fiction books and textbooks sold:
Fiction books = 6y = 6(150) = 900
Textbooks = 5y = 5(150) = 750
Total fiction books and textbooks = 900 + 750 = 1650
The bookstore sold a total of 1650 fiction books and textbooks.
write a related subtraction fact for 7+3=10
Sam wants to know how long it will take to fill his baby pool that holds 24 gallons. After 1 minute, there are 2 gallons of water in the pool. He plots the points (0,0) and (1,2) on his coordinate plane. What is the x-value of the point (x, 24)?
Answer:
(12,24)Step-by-step explanation:
Givens
The pool holds 24 gallons.The rate is 2 gallons of water per minute.The line that represents the problem passes through points (0,0) and (1,2).We can deduct the equation that represents this problem using the point-slope formula
[tex]y-y_{1} =m(x-x_{1} )\\y-2=2(x-1)\\y=2x-2+2\\y=2x[/tex]
So, for [tex]y=24[/tex], we have
[tex]y=2x\\24=2x\\x=\frac{24}{2}\\ x=12[/tex]
Therefore, after 12 minutes there were 24 gallons of water in the pool. The right answer is (12,24).
28 divided by 7 add 2 mutiply 3 equals ?
write a rule for the linear function in the table.
a. f(x) = -3x - 4
b. f(x) = -1/3x - 4
c. f(x) = x - 7
d. f(x) = 3x + 4
Answer:
i dont know
Step-by-step explanation:
How do you find and use the greatest common factor of two whole numbers
The greatest common factor of two whole numbers can be found by an example given.
How to find Greatest common factor?Greatest common factor, as the name implies, is greatest among all common factors among the quantities given.
We can factorize the quantities in smallest relative factors possible (one level of factors over which all quantities can form themselves), and collect as many common factors as we could. Those would be together compose as GCF(Greatest common factor).
For example;
we have the 52, and 24, for a number that can go into both that is the largest possible for my example
That would be 4 since, no number greater can go into both, while 2 would be a option it would not be the greatest.
Therefore, the greatest common factor of two whole numbers can be found by an example given.
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The 16 pound turkey cost $14.24 what was the price per pound
Help me with number 7 plz
A telephone company charges a monthly rate plus a rate per minute of usage.
Answer:
Step-by-step explanation:
dude really put what i typed as a question.
At 2:30 am the temperature in Joelle is 3 F. The temperature drops 3/4 of a degree in 30 min. What is the temperature on Joelle at 3:00am?
Answer: B. [tex]=2.25^{\circ}F[/tex]
Step-by-step explanation:
Given: At 2:30 am the temperature in Joelle is 3 F.
The temperature drops 3/4 of a degree in 30 min.
3/4 of a degree= [tex]\frac{3}{4}\times1^{\circ}F=\frac{3}{4}=0.75^{\circ}F[/tex]
Therefore, the temperature on Joelle after 30 min= [tex]3^{\circ}F-\frac{3}{4}\ of\ 1^{\circ}F[/tex]
[tex]=3^{\circ}F-0.75^{\circ}F[/tex]
[tex]=2.25^{\circ}F[/tex]
Thus, the temperature on Joelle at 3:00am=[tex]=2.25^{\circ}F[/tex]
Solve for y in terms of x 2/3y-4=x
Answer:
y = 3/2x + 6
Step-by-step explanation:
2/3y - 4 = x
2/3y = x + 4
y = 3/2(x) + 4*3/2
y = 3/2x + 6
hence the answer is y = 3/2x + 6
hope this helps
Write the point-slope form of the equation of the line that passes through the points (-3, 5) and (-1, 4). Include your work in your final answer.
Answer:
y-5=-1/2(x+3)
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(4-5)/(-1-(-3))
m=-1/(-1+3)
m=-1/2
y-y1=m(x-x1)
y-5=-1/2(x-(-3))
y-5=-1/2(x+3)
Find the percent of the total area under the standard normal curve between the given z-scores. z= -1.10 and z= -0.36
To find the percent between two z-scores under the standard normal curve, subtract the individual areas. In this case, the percentage between z = -1.10 and z = -0.36 is 1.72%.
To find the percent of the total area under the standard normal curve between z-scores, you need to first calculate the difference between the two areas to the left of each z-score. Given that the area to the left of z = -1.10 is 0.3446 and the area to the left of z = -0.36 is 0.3618, you can find the percent between them by subtracting these values: 0.3618 - 0.3446 = 0.0172 or 1.72%.
Melanie prepared 7 1/2 tablespoons of her spice mixture she is 1/4 tablespoon to make a batch of barbecue sauce estimate the number of batches of barbecue sauce she can make by using the spice mixture
Answer: There are 30 batches of barbeque sauce that she can make by using the spice mixture.
Step-by-step explanation:
Since we have given that
Number of tablespoons of her spice mixture = [tex]7\dfrac{1}{2}=\dfrac{15}{2}[/tex]
Number of tablespoons to make a batch of barbeque sauce = [tex]\dfrac{1}{4}[/tex]
so, the number of batches of barbeque sauce would be
[tex]\dfrac{15}{2}\div \dfrac{1}{4}\\\\=\dfrac{15}{2}\times 4\\\\=15\times 2\\\\=30[/tex]
Hence, there are 30 batches of barbeque sauce that she can make by using the spice mixture.
A class is selling magazines as a fund raiser. Of the 500 magazines sold, Amy sold 1/9 of them. Garret sold 0.145 of the magazines. Robbie sold 12/100 of the magazines, and Carlita sold 0.095 of the magazines. Who sold the most magazines?
Find the circumference of the circle in terms of pi.
A. 39 in
B. 1521 in.
C. 78 in
D. 156 in
The circumference of the circle with radius [tex] r [/tex] is given by [tex] P=2\pi r [/tex]. When [tex] r=39\;in [/tex],
[tex] P=2\pi (39)\\
P=78\pi \;in [/tex]
Correct choice is (C).
Answer:
Option C is correct
78 π inches
Step-by-step explanation:
Circumference (C) of a circle is given by:
[tex]C = 2 \pi r[/tex] .....[1]
where, r is the radius of the circle.
As per the statement:
From the given figure;
radius of the circle(r) = 39 in.
Substitute this value in [1] we have;
[tex]C = 2 \cdot \pi \cdot 39 = 78 \pi[/tex]
Therefore, the value of circumference of the circle in terms of pi is, [tex]78 \pi in.[/tex]
Select the function that represents an arithmetic sequence.A(n) = P(1 + i)n – 1, where n is a positive integer B.A(n) = P + (n – 1)i • P, where n is any real number C.A(n) = P(1 + i)n – 1, where n is any real number D.A(n) = P + (n – 1)i • P, where n is a positive integer
Evaluate the expression 14x + y when x = 11 and y = 20.
which two lines are parallel? 1) 4y=3x-4 2)4y=-1-3x 3) 4y+3x=-1
The height of four boys measured 152.0 cm. 150.75 cm,149.5 cm, and 149.25 cm. Bradley is the tallest, Calvin is taller than Josh, but shorter than Mark. Josh is the shortest. What is Mark's height
Answer:
150.75 cm
Step-by-step explanation:
Given heights,
152.0 cm, 150.75 cm, 149.5 cm, and 149.25,
∵ Calvin is taller than Josh, but shorter than Mark,
The increasing order of heights,
Josh < Calvin < Mark,
Also, Bradley is the tallest,
That is, the height of Bradley is the greater than Josh, Calvin and Mark,
So, the final increasing order of heights,
Josh < Calvin < Mark < Bradley
∵ 149.25 < 149.5 < 150.75 < 152.0
Hence, the height of Mark is 150.75.
73 is 20% of what number
Please answer All!!! (first part)
the line has the same slope as 3x-y=5 and the same y-intercept as the graph of 4y-7x=16
what is the equation in standard form?
8,473,227 round to the nearest 100,000
Divide.
−10÷5
Drag and drop the correct number into the box to complete the sentence.
The quotient is .
Round 0.955 inches to the nearest tenth of an inch
The nearest tenth is the first digit after the decimal point. The round 0.955 inches to the nearest tenth of an inch is 1.0 inches.
Given 0.995 inches
round to the nearest tenth of an inch.
This means round to the nearest first decimal point and to include the actual first decimal point (and that decimal point only, the tenth place).
We are given the number 0.955. This is given to the nearest thousands.
We examine the tenth place at 0.9.
So we know our choices are
What is the nearest tenth?The nearest tenth is the first digit after the decimal point.
0.9 (round down to the nearest tenths place) or 1.0 (round up to the nearest tenths place).
We examine the number 0.955 and look to the next value, the hundredths place
If that digit is 5 or greater we round up and the correct answer is 1.0.
If that number is 4 or less (i.e. 0 to 4), we round down and the correct answer is 0.9.
In the case of our give value: 0.955.
The digit to the right of 9 is 5 so, as previously mentioned,
we round up to 1.0.
Therefore, The round 0.955 inches to the nearest tenth of an inch is 1.0 inches.
The answer is 1.0 inches.
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After a car is purchased, the value of a new car decreases $4000 each year. After 3 years, the car is worth $18000.
Write an equation that represents the value V (in dollars) of the car x years after it is purchased.
Answer:
Original - 4000x
so, after 3 years we have:
Original - 12000 = 18000
=> Original = $30,000
Step-by-step explanation:
Which table represents a function.
Let x be the number of boys in a family of 4 children. Determine the values of the variable x. please answer.
Twelve large bottles of water cost $9. How much would 7 bottles of water cost?
The length of a rectangle is 13 feet. The width is 9 feet. What is the perimeter of the rectangle?