The number of hardback books that are on the bookshelf is 29 books.
Let the total number of books be T.Let the number of hardback books be H.Let the number of paperback books be P.Given the following data:
Total number of books = 36 booksTo determine the number of hardback books that are on the bookshelf:
Translating the word problem into an algebraic expression, we have;
The total number of books is:
[tex]T = H+P[/tex]
The number of hardback books is 15 more than twice the number of paperback books:
[tex]H =2P+15[/tex]
Substituting the given parameters into the formula, we have;
[tex]36 = 2P+15+P\\\\36=3P+15\\\\3P=36-15\\\\3P=21\\\\P=\frac{21}{3}[/tex]
P = 7 books
For number of hardback books:
[tex]H =2P+15\\\\H=2(7)+15\\\\H=14+15[/tex]
H = 29 books
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Please answer both please please I’ll give brainly
Answer:
4. 9
5. 5x
Step-by-step explanation:
its an isocoles
Chang made $156 for 13 hours of work at the same rate, how many hours would he have to work to make $108?
Answer:
9 hours
Step-by-step explanation:
"At the same rate" means time and wages are proportional.
time/wages = t/$108 = (13 h)/$156
t = 108(13 h)/156 . . . . . . . . . . . . . . . units of dollars cancel
t = 9 h
Chang would have to work 9 hours to make $108.
Find the area.
2 cm
2 cm
4 cm
Answer:
6 cm^2
Step-by-step explanation:
The area of the trapezoid is given by the formula ...
A = 1/2(b1 +b2)h
A = 1/2(4 cm +2 cm)(2 cm) = 6 square centimeters
Answer:
6 cm^2
Step-by-step explanation:
The area of the trapezoid is given by the formula ...
A = 1/2(b1 +b2)h
A = 1/2(4 cm +2 cm)(2 cm) = 6 square centimeters
please help,I WILL GIVE BRAINLIEST.
Ben participated in a race. During the first half of the race, he walked 3 miles and ran at a rate of 5 miles per hour for x hours. During the second half of the race, he walked for 2 miles and ran at a rate of 5.5 miles per hour for x hours. What equation could you write to solve for the number of hours Ben ran during each half of the race? Let y represent the number of miles in half the race. Write two equations, one for the first half of the race and one for the second half. How could you transform these two equations to be the same as the original equation you wrote to solve for x? What do you think this means about solving for the variables in a situation represented by two equations?
Answer:
During the first half of the race, he walked 3 miles and ran at a rate of 5 miles per hour for x hours.y = 5x + 3
During the second half of the race, he walked for 2 miles and ran at a rate of 5.5 miles per hour for x hours. y = 5.5x + 2
Then using both equations will be:
y = 5x + 3
y = 5.5x + 2
Subtract the equations
0.5x = 1
x = 1/0.5 = 2
Therefore, the value of y will be:
y = 5x + 3 = 5(2) + 3 = 13
Simplify the expression 4(-y+2) -3y
Answer:
−7y+8
Step-by-step explanation:
1. Simplify each term.
−4y+8−3y
2. Subtract 3y from −4y.
−7y+8
Hope this helps :D
Unit Rate
Madison can eat 12 eggs in 20 minutes. How many
eggs can she eat in 35 minutes?
Answer:
37
Step-by-step explanation:
38 + u actually thought lol
I need this answer
ASAP!
Remainder of 52,259 divided by 215
Answer:
14
Step-by-step explanation:
52,259 divided by 215 is 243.065116279
so we know that the nearest whole number is 243.
243x215 is 52,245
subtract 52,245 from 52,259 which gives you the remainder of 14
Please help question in pic
29. Martin has some dollar notes. 20% of the notes are $10 notes, 40% of
the remainder are $5 notes and the rest are $2 notes. He has a total
of $1026. How many notes does Martin have altogether?
Answer:
225 notesStep-by-step explanation:
Let the number of notes is x.
20% of notes is:
0.2x40% of the remainder is:
40% of 0.8x, so it is 0.8x*0.4 = 0.32xRemaining notes are:
x - 0.2x - 0.32x = 0.48xTotal of the notes:
0.2x*10 + 0.32x*5 + 0.48x*2 = 10262x + 1.6x + 0.96x = 10264.56x = 1026x = 1026/4.56x = 225Y=-3x+1 y+5=-3(x-2) what do the following two equations represent A)The same line B)Distinct parallel lines C)Perpendicular Lines D)Intersecting, but not perpendicular lines
Answer:
C) perpendicular lines
A ball is thrown upward from a height of 15 feet with an initial upward velocity of 5 feet per second. Use the formula b(t)= -16t^2 + 5t + 15 to find the time it takes for the ball to reach the maximum height of the ball. Round to the nearest tenth
A. 0.2 seconds
B. 0.1 seconds
C. 0.3 seconds
D. 0.9 seconds
Answer:
0.2 seconds
Step-by-step explanation:
The graph of b(t) = -16t^2 + 5t + 15 is a parabola opening downward. The maximum value of b(t) occurs at the vertex. The t-coordinate of the vertex is t = -5 / (2(-16)) = 5/32 = 0.15625 sec ≈ 0.2 sec.
Answer:
A) 0.2 seconds
Step-by-step explanation:
[tex]b(t)=-16t^2+5t+15[/tex]
[tex]v(t)=-32t+5[/tex] <-- Take the derivative
[tex]0=-32t+5[/tex] <-- Set equal to 0
[tex]-5=-32t[/tex]
[tex]\frac{5}{32}=t[/tex]
[tex]t=\frac{5}{32}[/tex]
[tex]t\approx0.2[/tex]
Therefore, it will take the ball about 0.2 seconds to reach its maximum height (which happens to be about 15.4 feet BTW).
Alternatively, another non-calculus approach is the fact that the parabola opens downward, and as such, the maximum of [tex]b(t)[/tex] occurs at the vertex where [tex]t=-\frac{b}{2a}[/tex], therefore [tex]t=-\frac{5}{2(-16)}=\frac{-5}{-32}=\frac{5}{32}\approx0.2[/tex]
a perfect score in bowling is 300 points. you get a perfect score if you knock down 120 pins in 10 frames. what are the decimal value and percent of the number of pins knocked down in a relation to a perfect score?
Answer:
number of pins to perfect score
120/300=40/100
percent means parts out of 100
40/100=40%
answer is 40% or 0.40
NOTE: To find the percentage we will multiply decimal value of number of know down pins to a perfect score by 100
Number of know down pins to a perfect score= 0.4 x 100
Number of know down pins to a perfect score=40%
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Graph the linear equation 3x - 4y = 12
What is the difference of the two polynomials? (7y2 6xy) â€"" (â€""2xy 3) 7y2 4xy â€"" 3 7y2 8xy â€"" 3 7y2 4xy 3 7y2 8xy 3.
Answer:
There is no difference
Step-by-step explanation:
The difference between the polynomials is 7y² + 8xy - 3
Polynomials are functions that have a degree of power greater than two.
According to the question we are to find the difference between the polynomials (7y2 + 6xy) - (-2xy + 3)
f(x, y) = (7y^2 + 6xy) - (-2xy + 3)
f(x, y) = 7y² + 6xy + 2xy - 3
f(x, y) = 7y² + 8xy - 3
Hence the difference between the polynomials is 7y² + 8xy - 3
Learn more on polynomials here: https://brainly.com/question/4142886
y = 2x + 7
3x - 4y = -13
A salesperson's commission rate is 4% what is the commission from the scale of 39,000 worth of furnaces?
Suppose sales would double. What would be true about the commission?
Answer:
3,120
Step-by-step explanation:
hope it will help you
Examples:
3x (coefficient is 3)
4t (coefficient is 4)
Review
Directions: Name the coefficient (s) in the following expressions:
1. 9s + 4t
2. 46rs + 10x
3. 18q + 14x
4. 10x + 14y
5. 17rs + 32x
6. 5x + 7y - 5z
7. 3ab + 70m
8. 3r + 20a + 10m
9. 7k + 16m
10. 7r + 5s
11. 9j + 120m
12. 12k + m
13. 6c + 15h + w
14. 2c - 19d + 12f
15. 3t + 14r - 31j
Answer:
1. 9 + 4
2. 46 + 10
3. 18 + 14
4. 10x+ 14
5. 17 + 32
6. 5 + 7- 5
7. 3 + 70
8. 3 + 20 + 10
9. 7 + 16
10. 7 + 5
11. 9 + 120
12. 12
13. 6 + 15 +
14. 2 - 19+ 12
15. 3 + 14 - 31
Step-by-step explanation:
Please answer the following question
(d+m)A=2
A= ?
Answer:
A is equal to 3
please mark me as brianleast
Find the sine of ∠D.
Write your answer as an integer or as a decimal rounded to the nearest hundredth.
We know
[tex]\\ \sf{:}\Rrightarrow sin\Theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]
Now
[tex]\\ \sf{:}\Rrightarrow sinD=\dfrac{FE}{DE}[/tex]
[tex]\\ \sf{:}\Rrightarrow sinD=\dfrac{55}{73}[/tex]
NEED HELP PLZ HELP ME ….
Answer:
R= -0.95
Step-by-step explanation:
HOPE THIS HELPS :)
How much does darma earn if she babysits 6 hours
Answer:
42$
Step-by-step explanation:
Since she earns 28 $ in 4 hours
Let the hour : X
4x=28
X=28/4
X=7
Since the question want 6 hours
Then she earns
6x7=42$
The ratio of three number is 5:6:7. If the sum of the numbers is 54. What
are the numbers?
[tex]5x + 6x + 7x = 54 \\ = > 18x = 54 \\ = > x = 3[/tex]
So, the numbers are (5 × 3) i.e., 15, (6 × 3), i.e., 18, (7 × 3), that is 21.Answer:
The numbers are 15, 18 and 21.
Hope you could get an idea from here.
Doubt clarification - use comment section.
9 13 / 16 + 10 3 / 8 =
A dress originally priced at 8080 dollars was put on sale for 25\%% off. If 10\% tax was added to the sale price, then the total selling price (in dollars) of the dress was
Answer: If the dress orginially priced at 8080 dollars and put for 25 percent, that means that you have to move the decimal point to the left twice which will result as 0.25 and 10 percent tax ends up as 0.10. Multiply the two and the product, you have to add to the 8080!
Step-by-step explanation:
The value of X is units in length.
Answer:
x=17.5 we do that 5*3.5 =17.5
Jennifer competed in a race that included running and biking. She ran 134 miles and bicycled 3.6 miles. Her total time was 0.7 hour. What was her approximate average speed in miles per hour?
Answer:
not 100% but i think 196
Step-by-step explanation:
you go 134+3.6 then just divide by 0.7
Kashira has 3/9 of a pizza and Laila gave her 1/3 of a pizza. How much pizza does Kashira have now? Please provide your answer in simplest form. (NVM FIGURED IT OUT)
Answer:4/9 pizzas
Step-by-step explanation:
Need Help....
I can't understand the question so please help me.....
[tex]for \: x \: such \: that \: 0 < x < \frac{\pi}{2}[/tex]
It is the expression
[tex] \frac{ \sqrt{1 - {cos}^{2}x } }{sin \: x} \:- \frac{ \sqrt{1 - {sin}^{2}x } }{cos \: x} \\ \\ is \: equivalent \: to:[/tex]
[tex]f.0 \\ g.1 \\ h.2 \\j. - tan \: x \\ k. \: sin \: 2x[/tex]
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If 0 < x < π/2, then both sin(x) and cos(x) are positive.
From the Pythagorean identity, we then have
cos²(x) + sin²(x) = 1
⇒ cos(x) = + √(1 - sin²(x)) and sin(x) = + √(1 - cos²(x))
Then
√(1 - cos²(x))/sin(x) = sin(x)/sin(x) = 1
and
√(1 - sin²(x))/cos(x) = cos(x)/cos(x) = 1
so that the overall expression reduces to
1 - 1 = 0
Brian has DVDs and CDs. The number of CDs he has can be modelled with the formula C = 2D + 11, where C represents the number of CDs and D represents the number DVDs. If he has 41 CDs, how many DVDs does he have?
Answer: 15 DVDs
Step-by-step explanation:
C = 2D + 11
41 = 2D + 11
2D = 30
D = 15 DVDs
Through the successful study of personal finance, an individual will be better prepared to calculate financial risks able to spend available assets. faced with long-term challenges. more likely to avoid high opportunity costs.
Answer:
A. better prepared to calculate financial risks
Step-by-step explanation:
Through the successful study of personal finance, an individual will be better prepared to calculate financial risks.
What is Personal Finance?Personal finance is a broad word that encompasses money management, as well as saving for the future. Personal finance also includes some of the following:
Budgeting, Banking,Insurance, andEstate preparation etcA successful study of personal finance can help in various ways such as:
Assisting in increasing our income stream and cash flows. Keeping track of our expenses and spending habits.Tax preparation and careful budgeting guarantee that our hard-earned money is not wasted on needless purchases.Learn more about personal finance here:
https://brainly.com/question/2961383