Using a system of equations, it is found that 1530 more novels have been bought in total.
For the system, we have that:
x is the number of novels.y is the number of dictionaries.The ratio of the number of novels to that of dictionaries is 2:3, hence:
[tex]\frac{x}{y} = \frac{2}{3}[/tex]
[tex]3x = 2y[/tex]
[tex]y = \frac{3x}{2}[/tex]
Total number of novels is 624, hence:
[tex]x = 624[/tex]
[tex]y = \frac{3}{2} \times 624 = 936[/tex]
Buys z more novels, and the ratio becomes [tex]\frac{7}{3}[/tex], hence:
[tex]\frac{624 + z}{923} = \frac{7}{3}[/tex]
[tex]1872 + 3z = 6461[/tex]
[tex]z = \frac{6461 - 1872}{3}[/tex]
[tex]z = 1530[/tex]
1530 more novels have been bought in total.
A similar problem is given at https://brainly.com/question/17096268
Bruno's Burgers has a cook to server ratio of 2 to 5. The total number of servers and cooks is 42. How many more servers does Bruno's Burgers employ than cooks?
Answer:
18
Step-by-step explanation:
2 to 5 2+5=7 42/7=6
6x2=12. cooks
6x5=30 servers
servers subtracted by cooks equals difference
30-12=18
Identify the initial amount a and the rate of growth r (as a percent) of the exponential function f(t) = 1500(1.074)t. Evaluate the
function when t=5. Round your answer to the nearest tenth.
A=
R=%
When t=5, f(5)=
The initial amount is the first number = 1500
Rate of growth is inside the parentheses and is added to 1, the rate of growth is 7.4%
Replace t with 5 and solve
1500(1.074) ^5 = $2143.45
Answer:
The growth rate is 7.4% and the initial amount is 1500. The answer when t=5 is 2143.45.
Step-by-step explanation:
Assuming this is actually supposed to be written as 1500*(1.074)^t, then this equation follows the standard growth form y = A(1+r)^t where A represents the initial amount, r represents the rate as a decimal, and t represents time. This means that 1500 (A) would be the initial amount, and if you subtract 1 from what's inside the paratheses, you will get the r rate as a decimal. To get this as a percent, simply multiply it by 100, so you will get 7.4% as your growth rate.
To find what the answer would be when t = 5, just plug in 5 for the value of t in the equation.
f(5) = 1500*(1.074^5)
f(5) = 1500*(1.42896)
f(5) = 2143.45
Match question I need help
Please.
Answer:
b
Step-by-step explanation:
Answer:
Step-by-step explanation:
Reduce 45/36 fraction into the
lowest terms.
Answer:
[tex] \frac{5}{4} [/tex]
Hello there! :)
45/36
Let's look for common factors:
45 is divisible by 3, 9 (I list the common factors here)
36 is divisible by 3, 9
Now, the greatest common factor (9) is the one we will use.
Divide 45 by 9:
5
36 by 9:
4
So the answer is 5/4.
Hope this helps!
~Just a determined gal
#CarryOnLearning
[tex]MysteriousNature[/tex]
Find x
Will be marked brainliest
Answer:
x = -49
Step-by-step explanation:
The sum of the angles of a triangle is 180°. Set up the following equation and solve for x.
[tex]-x-5+37+99=180\\\\-x+131=180\\\\-x=49\\\\x=-49[/tex]
NASA launches a rocket at t = 0 seconds. Its height, in meters above sea level, as a function of time is
given by h(t) = – 4.9t2 + 235t + 269.
Assuming that the rocket will splash down into the ocean, at what time does splashdown occur?
Use the graph below to find the slope of the line that goes through the points
|(1, 2) and (6,6).
Answer:
4/5
Step-by-step explanation:
m=y2-y1/x2-x1
=6-2/6-1
4/5
Jon makes 20 free throws in practice on
Monday. He makes 25% more free throws
on Friday than Monday. Enter the number
of free throws Jon makes on Friday.
Show your work.
Answer:
25 free throws on Friday.
Step-by-step explanation:
On Monday made 20 free throws
On Friday made 25% more free throws on Friday than Monday
On Friday made 20 free throws + 25% of Monday free throws
On Friday = Monday throws + 25% × Monday throws
On Friday = 20 + (.25 × 20)
On Friday = 20 + 5
On Friday = 25
You read 9.75 pages in your science book and 24.5 pages of a play for English class. It takes you 1.2 minutes to read each page of science and 0.8 of a minute to read each page of the play. How much time do you spend reading?
Answer:
9.75*1.2= 11.7min (time spent reading in science)
24.5*0.8=19.6min (time spent reading play)
19.6+11.7= 31.3min (total time spent reading)
A small publishing company is releasing a new book. The production costs will include a one-time fixed cost for editing and an additional cost for each book
printed. The total production cost C (in dollars) is given by the function C-550 +15.95N, where N is the number of books,
The total revenue earned (in dollars) from selling the books is given by the function R=31.90N.
Let P be the profit made (in dollars). Write an equation relating P to N. Simplify your answer as much as possible.
Please answer me ASAP I need an answer.
Answer:
P = 15.95N - 550Step-by-step explanation:
The profit is the difference between the revenue and the total cost:
P = R - CSubstitute values:
P = 31.90N - (550 + 15.95N)P = 31.90N - 15.95N - 550P = 15.95N - 550The difference between cost and revenue is profit
P=R-CP=31.90N-(15.95N+550)P=31.90N-15.95N-550P=15.95N-550what is the sequre of 9?
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
The square root of 9 is 3.
√9=3
Hope this helps :)
Ano po tawag dito pinapalipad po to lalagay nyo po yung shape fan blade sa stick tapos po lilipad.
Wag nyo po sagutin kung di po alam.
Mga tutors pasagot po di ko po kau mapili dahil Wala po pambayad
Answer:
Flower stick hahhhahaHaha
Answer this question fast pls
Answer:
Lemons ( 27 ) = Cups ( 9 )
Cups ( 50) = Lemons (30)
What is the slope of the line ?
Answer:
y = -3x + 4
Step-by-step explanation:
Use the slope intercept equation y = mx + b.
b is the y-intercept which is 4 in this equation.
The slope can be found from a graph using rise over run. This graph is decreasing so the slope is negative. Therefore, the slope is -3.
ill mark brainliest thanks
Answer:
x=10
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the opposite interior angles
6x-7 = 26+2x+7
Combine like terms
6x-7 = 2x+33
Subtract 2x
6x-7-2x =2x+33-2x
4x-7 = 33
Add 7 to each isde
4x-7 +7 = 33+7
4x=40
Divide by 4
4x/4 = 40/4
x=10
20 EASY POINTS PLUS BRAINLIEST IF YOU ANSWER THIS QUESTION
Mark me as Brainliest Please
what are the correct answers whoever answers it correctly gets brainlist
Answer:
So the answer is... Hold on... Ok i did my research and the answer is........
Step-by-step explanation:
1. Economic
The Industrial Revolution stimulated the hunt for colonies. First, colonies provided raw
materials. Second, colonies served as a market for surplus manufactured goods.
2. Political
Every country wanted national hegemony – that is, to be the No. 1 imperialist country in the
world. To achieve this, they wanted to control as much of the world as
possible. The nation’s greatness is measured by the quality and quantity
of its colonies. Folks wanted to plant the flag in as many places as
possible. Every country wanted recognition as a world power. They
wanted to improve their reputation among other European countries.
They wanted to increase their political power and prestige. Every country
was in competition with its rivals. You took territory – simply to prevent
your rival from getting it!
3. Military
Every imperialist country was worried about its own national security: The competition
among imperialist powers was vicious. One had to protect one’s own
country and its colonies. Every country wanted to gain military
advantage over its rivals. A colony could serve as a fueling station for
the Navy. A ship could stop and load up on supplies. Some spots in the
world, especially waterways, were strategically important. The Navy
was paramount: It must have freedom to travel to and from the
colonies.
4. Cultural
Social Darwinism was the prevailing belief in Europe. It explained why some countries were
rich and some were poor. People compete for survival. The strong survive.
The rich were naturally superior. The weak were unfit. Poverty was a sign of
being unfit. The poor were naturally inferior. The European colonizers were
the Superior Races. The African and Asian colonized were Inferior Races. The
Europeans regarded themselves as racially and culturally superior to the people
of Africa and Asia. Humanitarians argued that it was Europe’s noble duty to
uplift and enlighten the backward peoples. Belief in Anglo-Saxon superiority
was prevalent.
5. Religious
The “missionary impulse”: Christianity is superior to all other religions. We must
spread Christianity to Asia and Africa. Religion encouraged imperialism. People
felt they needed to acquire territory in order to Christianize people. A serious
moral issue – Christianity is in direct conflict with Social Darwinism. Under
Christianity, all people are equal in God’s eyes. Under Social Darwinism, the
Europeans are superior and the Africans and Asians are inferior. There was also a
certain element of hypocrisy: While the Europeans spoke of uplifting people, they
were actually motivated by profit and greed.
help me again due today there is more question after
Given equation
[tex]\\ \sf\longmapsto 42=6b[/tex]
[tex]\\ \sf\longmapsto 6b=42[/tex]
Take 6 to right[tex]\\ \sf\longmapsto b=\dfrac{42}{6}[/tex]
[tex]\\ \sf\longmapsto b=7[/tex]
Option D
PLEASE SHOW YOUR WORK!!!
Solve for y: 3^3 + 14 y- (25y - 13) = y + 7y - 9y
Answer:
y = 4
Step-by-step explanation:
3^3 + 14y - (25y - 13) = y + 7y - 9y
Exponents first.
27 + 14y - (25y - 13) = y + 7y - 9y
Distribute the negative sign from the parenthesis.
27 + 14y - 25y + 13 = y + 7y - 9y
Common terms.
27 + 13 = 40
14y - 25y = -11y
y + 7y - 9y = -y
40 - 11y = -y
Add 11 to both sides.
40 = 10y
Divide both sides by 10.
4 = y
Rearrange.
y = 4.
Add 4/9 +2/9 and simplify answer
Answer: 6/9 = 2/3
Step-by-step explanation: The answer is 2/3 or 6/9 is because you add 2 to 4 and that is 6 you keep the denominator the same because both fractions have the same denominator and you get 6/9, 6/9 is simplified to 2/3
Please find the value of each of the variables. Show all work.
Answer:
W=20 V=42 X=87
Step-by-step explanation:
all sides are equal meaning that two corners from across each other are equal so v is 42 and w 20 this also means x is 87 im not too sure about y
Dan bought a truck for $29,800. The value of the truck depreciated at a constant rate per year. The table shows the value of the truck after the first and second years: Year 1 2 Value (in dollars) 26,522 23,604.58 Which function best represents the value of the truck after t years? f(t) = 29,800(0.89)t f(t) = 26,522(0.89)t f(t) = 29,800(0.11)t f(t) = 26,522(0.11)t
Answer:
A) f(t) = 29,800(0.89)^t
Step-by-step explanation:The truck value decreases by 11% each year.
The present value of the truck was $29,800.
29,800 x 0.11 = 3,728 dollars lost from value.
29,800 - 3,728 = 26,522, the value of the truck after one year.
26,522 x 0.11 = 2,917.42 cash lost from value.
26,522 - 3,728 = 23,604.58, the value of the truck after two years.
Therefore, the answer is A) f(t) = 29,800(0.89)^t.
A runner is 7/8 mile from the finish line. If she can travel 3/8 mile per minute, how long will it take her to finish the race?
Answer:
2 1/3 minutesStep-by-step explanation:
Distance:
d = 7/8 mileSpeed:
s = 3/8 mpmTime:
t = d/st = 7/8 : 3/8 = 7/8 * 8/3 = 7/3 = 2 1/3 minAnswer:
Step-by-step explanation:
Find the slope given the coordinate points.
(12, 7) (-4, 2)
Answer as a fraction in reduced form.
Will mark brainliest if correct
5. Aaron sold 126 boxes of cookies. This is 14 more than twice the
number of boxes his sister, Victoria, sold. How many boxes of
cookies did Victoria sell?
Answer:
112
Step-by-step explanation:
Aaron = y
Victoria = x
y = 14 +x
126 = 14 + x
x = 112
Victoria sold 112 boxes of cookies
n-(m+n): use m= 2,and n=-3
Answer:
the answer is in the photo below
Write a polynomial function of the least degree that has roots of 3 and (4 + i).
Roots:
Polynomial Function:
Answer:
x³ - 11x² + 41x - 51Step-by-step explanation:
The least number of degree is 3 and the third root should be (4 - i) to make polynomial rational.
The polynomial is:
(x - 3)(x - (4 + i))(x - (4 + i)) = (x - 3)(x² -x(4 + i + 4 - i) + (4 + i)(4 - i)) = (x - 3)(x² - 8x + 16 - (-1)) = (x - 3)(x² - 8x + 17) = x³ - 8x² + 17x - 3x² + 24x - 51 = x³ - 11x² + 41x - 51Kiran wants to buy blueberries and raspberries to make a fruit tart. Blueberries cost $3.25 per pound and raspberries cost $2.50 per pound. How many pounds of fruit does he buy if he buys 2 pounds of blueberries and 1.5 pounds of raspberries? How many pounds of fruit does he buy if he buys x pounds of blueberries and y pounds of raspberries?
Answer:
$10.25 pounds of fruit
Step-by-step explanation:
3.25 x 2 = 6.5
2.50 x 1.5 = 3.75
3.75 + 6.5 = 10.25
Which ordered pair is a solution of the
equation?
Y= 32x+5
Step-by-step explanation:
where are the ordered pairs?
If g(x)=x^2-5x+8, find g(8)
Answer:
Option A) 32
Step-by-step explanation:
Given the quadratic function, g(x) = x²- 5x + 8:
In order to evaluate and determine the output value given g(8), substitute the input value into the function:
g(x) = x²- 5x + 8
g(8) = (8)²- 5(8) + 8
g(8) = 64 - 40 + 8
g(8) = 32
Therefore, the correct answer is Option A) 32.