Determine which statement is a true proportion.
A school library has 260 DVDs in its collection. Given that 45% of the DVDs are about science and 40% or about history how many of the DVDs are about other subjects?
39 DVDs are about other subjects.
To determine the number of DVDs about other subjects in the school library, we must first calculate the number of DVDs dedicated to science and history. We start by finding 45% of 260 DVDs for science and 40% of 260 DVDs for history.
Science DVDs: 45% of 260 = 0.45 * 260 = 117
History DVDs: 40% of 260 = 0.40 * 260 = 104
Adding the numbers of science and history DVDs gives us the total number of DVDs not about other subjects:
117 (Science) + 104 (History) = 221
To find the number about other subjects, we subtract the total number of science and history DVDs from the total collection:
260 (Total) - 221 (Science and History) = 39 DVDs about other subjects.
A company finds that on average, they use 43 minutes for each meeting.
An employee sketches a graph to show the total amount of time in minutes, T, used for m meetings. The graph shows the value of T for 1 to 5 meetings.
If the employee counts by 10's, what should be the largest value on the T-axis of his or her graph so that the scale is the most appropriate for the given information?
A. 10
B. 40
C. 50
D. 200
E. 210
F. 220
G. 250
Answer:
F. 220
Step-by-step explanation:
Showing the time for 1 to 5 meetings means we would go from 43(1) = 43 to 43(5) = 215 for the y-axis (time in minutes).
We are counting by 10s. The two closest tens to 215 are 210 and 220. However, in order to show 215 on the graph, we must go up to 220.
Answer: 220
Step-by-step explanation:
Make a conjecture about the relationship between a and b if ab=1
Answer:
a and b are reciprocals
Step-by-step explanation:
Multiplying a number by 4/5 then dividing by 2/5 is the same as multiplying by what number?
153 is the product of 9 and Chad height what is the answer
Write the following statement as a conditional. "All squares are rectangles."
The statement 'All squares are rectangles' written as a conditional is 'If a shape is a square, then it is a rectangle.' This forms a strict conditional that states the sufficiency of the condition of being a square for the necessity of being a rectangle.
When we are asked to write the statement 'All squares are rectangles' as a conditional, we are forming what is called a strict conditional. This type of conditional states that if the antecedent (the 'if' part) is true, then the consequent (the 'then' part) must also be true without any exceptions. In our example, the antecedent is the condition of being a square, and the consequent is the condition of being a rectangle.
Strict Conditional Example
If a shape is a square, then it is a rectangle. This expresses a clear relationship between two properties: being a square and being a rectangle. This conditional is considered strict because there are no exceptions to the rule; every square is, by definition, a rectangle.
If tan 0 = 12/5 and cos 0 = - 5/13 then what is sin 0
Helppppp! After 2 1/4 h, a chainsaw has used 2 13/16 gal of fuel.
How many gallons of fuel did the chainsaw use each hour?
Enter your answer as a mixed number in simplest form.
Answer:
[tex]1\frac{1}{4}[/tex]gallon/hour
Step-by-step explanation:
After [tex]2\frac{1}{4}[/tex] hour a chainsaw has used [tex]2\frac{13}{16}[/tex] gallons of fuel.
[tex]2\frac{1}{4}[/tex] hours = [tex]\frac{9}{4}[/tex] hours
[tex]2\frac{13}{16}[/tex] gallons = [tex]\frac{45}{16}[/tex] = 2.8125 gallons
The chainsaw used fuel after [tex]\frac{9}{4}[/tex] hours = [tex]\frac{45}{16}[/tex] gallons
The chainsaw used fuel in 1 hour = [tex]\frac{\frac{45}{16}}{\frac{9}{4}}[/tex]
= [tex]\frac{45}{16}[/tex] ÷ [tex]\frac{9}{4}[/tex]
= [tex]\frac{45}{16}[/tex] × [tex]\frac{4}{9}[/tex]
= [tex]\frac{180}{144}[/tex]
= [tex]\frac{90}{72}[/tex]
= [tex]\frac{30}{24}[/tex]
= [tex]\frac{15}{12}[/tex]
= [tex]\frac{5}{4}[/tex]
= [tex]1\frac{1}{4}[/tex] gallons of fuel
Chainsaw used [tex]1\frac{1}{4}[/tex] gallons of fuel in each hour
I really need help with this problem thank you.
Charlie wants to order lunch for his friends. He'll order 6 sandwiches and a $2 kid's meal for his little brother. Charlie has $32. How much can he spend on each sandwich is they are all the same price?
Choose two answers: One for inequality that models this situation and one for the correct answer.
A. Inequality: 6x+2 > ( greater than or equal too ) 32
B. Inequality: 6x+2 < ( less than or equal too ) 32
C. Answer: $13 or less
D. Answer: $5 or less
E. Inequality: 2x+6 < 32
F. Inequality: 2x+6 < ( less than or equal too ) 32
Inequality that models the given situation is given by 6x+2 ≤ 32.
Price of each sandwich is equals to $5 or less.
What is inequality?" Inequality is defined as the algebraic expression which represents the relation between the variables using the sign of inequality < , > , ≤ , ≥."
According to the question,
Given,
Number of sandwiches = 6
Amount spend on kids meal = $2
Total money with Charlie = $32
'x' represents the cost of each sandwich
As per the condition inequality is given by,
[tex]6x+2 \leq 32\\\\\implies 6x \leq 32 - 2\\\\ \implies 6x \leq 30 \\\\ \implies x \leq \frac{30}{6} \\\\\implies x\leq \$5[/tex]
Hence, Option(D) is the correct answer
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Jacinta is working on a jigsaw puzzle that has 403 pieces.she has completed 1/4 of the puzzle. About how many pieces she has placed in the puzzle
For $360, a rock-climbing gym offers yearly membership where members can climb as many days as they want and pay $4 per day for equipment rental. Nonmembers pay $10 per day to use the gym and $6 per day for equipment rental. Write an equation to find the number of visits after which the total cost for a member and the total cost for a nonmember are the same. Then solve the equation.
g=ca-b. what is a??????!!!!????
which equation has a slope of 2/3 and a y-intercept of 2
Regina has wet weather on about 3/10 of the days in a year. It has wet weather on about four times as many days as it has fog. On what fraction of the days of the year does Regina have fog?
Please answer and show the work how you got the answer.
The fraction of the days of the year Regina have fog will be 438.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that, Regina has wet weather on about 3/10 of the days in a year. It has wet weather on about four times as many days as it has fog.
We have to find the fraction of the days of the year Regina have fog,
From the given conditions,
wet weather = 3/10 × days in year
wet weather = 4 × days of fog
Combined both the equation,
3/10 × 365 = 4 × x
x=3×365/10×4
x=438
Thus, the fraction of the days of the year Regina have fog will be 438.
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Stanley is putting wallpaper strips on his bathroom walls that have a total area of 460 ft2. Each strip of wallpaper covers 22 square feet. How many strips of wallpaper will Stanley need to fully cover his walls? Write your answer using the correct number of significant digits.
Answer:
21
Step-by-step explanation:
We are given that Stanley is putting wallpaper strips on his bathroom walls that have a total area of 460 square feet.
Area of each strip =22 square feet
We have to find the number of strips of wallpapers will Stanley need to fully cover his walls.
In order to find the number of strips of wall papers we are dividing the area of walls by area of each strips
Number of strips of wall paper=[tex]\frac{460}{22}[/tex]
Number of strips of wall paper=20.909 =21 strips of wallpaper
Hence, Stanley will need strips of wallpaper to cover fully his walls=21
Suzanne can work 10 math problems in 15 minutes. How many can she work in an hour and a half?
How many degrees is 1/4 of a circle or 1/4 of a full turn? And how many degrees is 1/6 of a circle or 1/6 of a full turn ?
3918 divide 92 long divided
Solve for D.
4 - 3d = d - 8
You’ve just been trick-or-treating and snagged a big bar of chocolate! The bar is eight pieces high and nine pieces long. Can you work out how many times you have to break the bar so that it is separated into individual squares?
71
49
63
72
The bar of chocolate should be broken [tex]\boxed{\bf 71\text{\bf\ times}}[/tex], so that it is separated into individual squares.
Further explanation:
Given that the bar of chocolate is eight pieces high and nine pieces long.
First break the chocolate horizontally [tex]7\text{ times}[/tex] since, it is eight pieces high.
Now, the broken piece of chocolate is divided into nine single strips of eight pieces each.
Each nine single strip is broken [tex]8\text{ times}[/tex].
Therefore, total number of times the chocolate bar is broken is calculated as follows:
[tex]\begin{aligned}\text{Total number of times}&=7+(8\cdot 8)\\&=7+64\\&=71\end{aliogned}[/tex]
Thus, [tex]71\text{ times}[/tex] the bar of chocolate is broken so that it is separated into individual squares.
Now, break the chocolate vertically [tex]8\text{ times}[/tex] since, it is nine pieces long.
Now, the broken piece of chocolate is divided into nine single strips of nine pieces each.
Each nine single strip is broken [tex]7\text{ times}[/tex].
Therefore, total number of times the chocolate bar is broken is calculated as follows:
[tex]\begin{aligned}\text{Total number of times}&=8+(9\cdot 7)\\&=8+63\\&=71\end{aliogned}[/tex]
Thus, [tex]71\text{ times}[/tex] the bar of chocolate is broken so that it is separated into individual squares.
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Answer details:
Grade: Middle school
Subject: Mathematics
Chapter: Counting
Keywords: Trick, treating, snagged, big bar, chocolate, eight pieces, nine pieces, long, high, break, separated, individual, squares, 71, 72, 49, 56.
Convert 19 over 2 to a decimal using long division.
Answer:
9,5, The answer is 9.5...
plz answer my question. I will make it brainliest answer. have to answer both questions.
Stefan’s family rented a rototiller to prepare an area in their backyard for spring planting. The rental company charged an initial fee of $43 with an additional fee per hour. If they paid $64 after renting the rototiller for 7 hours, what was the hourly fee?
If h represents the hourly fee, which equation models this problem?
h + 43 = 64
h = 64 + 43
7h + 43 = 64
7h + 7 = 64
What was the hourly fee for the rototiller?
$2
$3
$4
$5
The graph of g(x) is the graph of f(x)=x+6 reflected across the x-axis. Which equation describes the function g?
A. g(x)=x−6
B. g(x)=−x−6
C. g(x)=−6x−6
D. g(x)=−x+6
I took the test and this was the answer
A train traveling south leaves the station at a constant rate of 62 kilometers per hour. A second train traveling north leaves the station at the same time traveling at a constant rate of 68 kilometers per hour. How many hours after the trains leave will they be 455 kilometers apart?
A 3.5
B.
4.5
C.
5.5
D.
6.5
Answer: 3.5 hours
Step-by-step explanation:
68 + 62 = 130
455 / 130 = 3.5
Hope this helps you! :)
Answer:
3.5
Step-by-step explanation:
I got it right on the test
A youth group earned $285 washing cars. The groups expenses were $79. How much profit did the group make washing cars?
Final answer:
The profit is calculated by subtracting the group's expenses from their total earnings, resulting in a profit of $206.
Explanation:
The student's question is about calculating the profit made by a youth group from washing cars. To find the profit, we subtract the group's expenses from their earnings. Here is the calculation:
Total earnings from car washing: $285.
Total expenses: $79.
To find the profit, subtract expenses from earnings: $285 - $79 = $206.
Therefore, the youth group made a profit of $206 from washing cars.
What is the product? Enter your answer as a fraction, in simplified form, in the box. 38⋅(−36)
The fraction is -1,3680/10.
The given expression is 38⋅(−36).
We need to find the product of the given numbers.
What is a fraction?In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, whereas the whole can be any number, a specific value, or a thing.
Now, 38⋅(−36)=-1,368
Multiply and divide the number by 10.
That is, -1,368 × 10/10
=-1,3680/10
Therefore, the fraction is -1,3680/10.
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16x0 + 2x2 • y –1 i need help because i dont know how to do it
how old is a man that lived 86753.09 seconds? report the answers in years.
what values of x satisfy the equation 0x = 0