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
Please help me, thanks
Answer:
D how many months until the total spent is the same for both gyms
Step-by-step explanation:
30m+50 = 10m+100
By setting the cost of gym A equal to gym B we are finding how many months it is when the cost is the same
Answer:
How many months until the total spent is same for both the gyms
Step-by-step explanation:
Then
GYmA=GYm B30m+50=10m+100We may solve it
20m=50m=5/2m=2.5monthsoption D
henry is designing a tablecloth for his dining room table. He wants to buy fabric in his favorite color to make the tablecloth. use the dimensions below to determine how much fabric he need to buy. 12 feet 7 feet
debbie used 40% of her flour for
cookies she started with 24 cups how many cups did debbie use?
Answer:
24 x 40% = 9.6
Step-by-step explanation:
the answer is Lil Debbie™ 9.6 cup used.
Please take a look at the picture
Answer:
B) -3/10 x -6
Step-by-step explanation:
-3/10 x -6=-3 x -6/10
When multiplying two negatives you get a positive.
Hope this helps :)
Find the surface area of this cubiod
Answer:
surface area is 2(lb + bh + lh)
I think this is the right formula
Answer:
Total surface area = 62 cm^2.
Step-by-step explanation:
There are 2 faces each of area 2 * 3 = 6, = 12 cm^2.
There are 2 faces each of area 10, = 20 cm^2.
There are 2 faces each of area 15, = 30 cm^2.
12 + 20 + 30 = 62 cm^2.
estimation for 5.24 - 2.14
Answer:
3.1
Step-by-step explanation:
lemme know if you want the explanation
If the value of a=2,y=3,find the value of x in ax/y=10
[tex]\dfrac{ax}y =10\\\\\implies \dfrac{2x}{3} = 10\\\\\implies 2x = 30\\\\\implies x = \dfrac{30}2 = 15[/tex]
Answer:
x = 15
Step-by-step explanation:
[Given] ax/y=10
[Rewrite] [tex]\frac{ax}{y} =10[/tex]
[Plug-in] [tex]\frac{(2)x}{(3)} =10[/tex]
[Simplify] [tex]\frac{2x}{3} =10[/tex]
[Multiply both sides by 3] 2x = 30
[Divide both sides by 2] x = 15
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
A A color printer prints 23 pages in 8 minutes.
How many minutes does it take per page?
Answer:
almost 3 pages
Step-by-step explanation:
take 23 divided by 8 =2.875
The sixth number 20210A is prime for only one digit A. What is A?
9514 1404 393
Answer:
A = 9
Step-by-step explanation:
Beyond the first few primes, all prime numbers end in one of the odd digits, 1, 3, 7, or 9. We can reduce this list by using a couple of simple divisibility rules.
The sum of the digits is 2+0+2+1+0+A = A+5. The number will be divisible by 3 if A+5 is divisible by 3. That will be the case for A=1 and A=7.
The sum of odd digits is A+1+0 = A+1. The sum of even digits is 0+2+2 = 4. When these sums are equal, the number is divisible by 11. That will be the case for A=3.
So, we have ruled out all digits except 9. If the number is prime it must be ...
202109
A = 9
_____
Additional comment
To make sure the number is prime, we would need to check divisibility by all primes less than √202109 ≈ 449.
Answer: 9
the answer is 9 because if i root 202109 i get about 446 and if its decimal it prime
Please help!
The black graph is the graph of
y = f(x). Choose the equation for the
red graph.
Answer:
it would be c because its moved 2x up
Step-by-step explanation:
Write the letter of the arrow that matches each probability word.
a)
*certain' is shown by the letter
b)
'evens' is shown by the letter
C)
'impossible' is shown by the letter
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
A. " Certain " is shown by letter E
B. " Even " is shown by letter C
C. " Impossible " is shown by letter A
Simplify.
5x+3(x+2)+3
A. 8x + 9
B. 5x + 8
C. 8x + 5
D. 6x + 8
Answer:
A- 8x+9
Step-by-step explanation:
------------------------------------------
5x + 3 (x + 2) + 3
5x + 3x + 6 + 3
8x + 6 + 3
8x + 9
<3
Multiply or divide. write fractions in simplest form.
-2/7 divided by (-8/21)
please help with this problem i will mark you brainliest :)
Answer:
3/4
Step-by-step explanation:
(-2/7) / (-8/21)
When dividing by a fraction flip it over and multiply
(-2/7) * (-21/8)
Cancel 2 and 8
(-1/7) * (-21/4)
Cancel 7 and 21
(-1/1) * (-3/4)
multiply
3/4
(X-2)(5x+6)
Multiply using Distributive property
[tex](x-2)(5x+6)\\\\=x(5x+6) -2(5x+6)\\\\= 5x^2 +6x -10x -12 \\\\=5x^2 -4x-12[/tex]
5x-10x+6x-12
-`9x-12
i believe so
solve pls brainliest
answer I think it
21/16
hop it helps
A radio station runs a promotion at an auto show with a money box with 12 $100 tickets, 11 $50 tickets, and 11 $25 tickets. The box contains an additional 20
"dummy" tickets with no value. Three tickets are randomly drawn. Find the probability that exactly two $100 prizes and no other money winners are chosen.
Answer:
I wanna have fun sike lol
Step-by-step explanation:
g What are the dimensions that will maximize the area of the window if you have 20 ft total for the perimeter of the window
If 14 out of 20 students in a college classroom are make, what percentage of the class is composed of men?
Answer:
70% of the class is composed of men.
Step-by-step explanation:
14: 20*100 =
(14*100): 20 =
1400: 20 = 70
The result of a division problem is the a ) divisor . b ) quotient . c ) factor . d ) remainder .
Answer:
b) quotient
Step-by-step explanation:
divisor is the number/value you are dividing with.
A remainder is a number that remains after you divide.
A factor is a number that can divide into a number or numbers without leaving a remainder
help 1234567891011121314151617181920
whoever answers ets brainliest, 5 stars, and a thanks. pls help asap!
evaluate: (5/6 + 2/3) - (3/4 + 1/12)
answer as a fraction in simplest form
Given info:- Evaluate: [(5/6 + 2/3) - (3/4 + 1/12)] and find the Evaluated form = ?
Solution:-
Given fractional expression: [(5/6 + 2/3) - (3/4 + 1/12)]
Take the LCM of denominator 3 and 6 is 6.
Again take the LCM of denominator 4 and 12 is 12.
so,
⟼ [(5+4)/6 - (9+1)/12]
⟼ [9/6 - 10/12]
Now, take the LCM of the denominator 9 and 12 is 36.
⟼ [(54-30)/36]
Now, reduce the fraction by extracting and cancaling out with 2.
⟼ [24÷2/36÷2]
⟼ 12/18
⟼ 6÷3/9÷3
⟼ 2/3
Answer↓
Therefore, Evaluated form is 2/3.
Read more:
Similar questions
Question 1 Evaluate (5 + 2)2 − 40 + 3 6 11 12 34 -------------------------------------------------------------------------------- Question 2 Evaluate 7 + 52 • 4...
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What is the nth term of each linear pattern?
a) 5.4, 8.4, 11.4, 14.4, 17.4...
b) 85, 80, 75, 70...
c) 38 1/2, 43 1/2, 48 1/2, 53 1/2, 58 1/2
A couple goes to a restaurant for dinner. Below is a probability table in which X is the
amount (dollars) on the meal spent by the husband and Y is the amount spent by the
wife.
X = 15
X = 20
X = 25
Y = 15
0.20
0.15
0.05
Y = 20
0.15
0.15
0.10
Y = 25
0.05
0.10
0.05
a. (7 pts) What is the probability that this couple spends 45 dollars or more?
b. (7 pts) Suppose that the restaurant is currently running a promotion with a
10% discount if the total amount spent by a table is 45 dollars or more.
What is expected total amount the couple actually has to pay?
Using the probability table, it is found that:
a) There is a 0.25 = 25% probability that this couple spends 45 dollars or more.
b) The expected amount the couple actually has to pay is $36.85.
From the table, the probabilities of each total cost are:
[tex]P(X = 30) = P(X = 15|Y = 15) = 0.2[/tex]
[tex]P(X = 35) = P(X = 15|Y = 20) + P(X = 20|Y = 15) = 0.15 + 0.15 = 0.3[/tex]
[tex]P(X = 40) = P(X = 15|Y = 25) + P(X = 20|Y = 20) + P(X = 25|Y = 15) = 0.05 + 0.15 + 0.05 = 0.25[/tex]
[tex]P(X = 45) = P(X = 20|Y = 25) + P(X = 25|Y = 20) = 0.1 + 0.1 = 0.2[/tex]
[tex]P(X = 50) = P(X = 25|Y = 25) = 0.05[/tex]
Item a:
This probability is:
[tex]P(X \geq 45) = P(X = 45) + P(X = 50) = 0.2 + 0.05 = 0.25[/tex]
There is a 0.25 = 25% probability that this couple spends 45 dollars or more.
Item b:
The expected value is the sum of each outcome multiplied by it's respective probability.
For X = 45 and X = 50, the value is multiplied by 0.9, due to the discount.Hence:
[tex]E(X) = 0.2(30) + 0.3(35) + 0.25(40) + 0.9[0.2(45) + 0.05(50)] = 36.85[/tex]
The expected amount the couple actually has to pay is $36.85.
A similar problem is given at https://brainly.com/question/24855677
Elizabeth recently bought a new bike, and she has started biking to and from work. The
round-trip distance is 9 kilometers.
Write an equation that shows the relationship between the number of round trips, x, and
the total number of kilometers Elizabeth has biked, y.
Answer:
the answer is 9x
Step-by-step explanation:
y=9x is the relationship between the number of round trips, x, and the total number of kilometers Elizabeth has biked, y.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that,
Elizabeth recently bought a new bike, and she has started biking to and from work.
The round-trip distance is 9 kilometers.
We need to find an equation that shows the relationship between the number of round trips, x, and the total number of kilometers Elizabeth has biked, y.
y=9x
Hence y=9x is the relationship between the number of round trips, x, and the total number of kilometers Elizabeth has biked, y.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
suppose you have $20 in your bank account. you start saving $5 each week. your friend has $5 in his account and is saving $10 each week. assume neither of you make any withdrawals.
Answer:
Question is missing
Step-by-step explanation:
Question missing
: Một khu đất 20 ha người ta trồng hai loại cây ngô và khoai. Năng suất của ngô tính theo x ha được (5-x/4) tấn trên 1 ha và năng suất của khoai tính theo y ha được (7-y/4) tấn trên 1 ha. Xác định diện tích trồng từng loại cây để sản lượng thu được là lớn nhất.
What is the probability of selecting a red jack from a deck of cards?
Answer:
There's 2 red jacks in a deck and 2 black queens in a deck so you have a total of 4 possible cards out of a 52 total in a deck so that would be 4/52 or 1/13 of the time. Statistically 7.6% of the time you will get a red jack or a black queen.
Step-by-step explanation:
A farmer wants to increase the area of His rectangular pen but keep the pen a rectangular shape. He decides to a 5.7 yards of fencing
to the width of the pen but the length will remain 9.5 yards. The new area will be 77.9 square yards.
Which can be used to determine the original width of the pen?
5.7 (W+9.5) = 77.9
S95219
9.5 (W + 5.7) = 77.9
Using the equation for the area of a rectangle, the original width of the pen is determined by:
9.5 (W + 5.7) = 77.9
The area of a rectangle of length l and width w is given by:
[tex]A = lw[/tex]
In this problem:
Increases the width by 5.7 yards, hence [tex]w = w + 5.7[/tex], in which w is the original width.The length remains at 9.5 yards, hence [tex]l = 9.5[/tex].The area is of 77.9 square yards, hence [tex]A = 77.9[/tex]Then:
[tex]A = lw[/tex]
[tex]9.5(w + 5.7) = 77.9[/tex]
For a similar problem, also involving the area of a rectangle, you can check https://brainly.com/question/10489198
Select all ratios equivalent to 4:16.
3:12
6:48
5:4
Answer
Step-by-step explanation:
neither
brainlest
can someone please help me with my last question?
answer choices are -165, -120, 165, 120
Answer:
120
Step-by-step explanation:
If you graph out the two triangles, you can see that the rotation is close to an angle of 90 - 120 degrees. And the rotation is going counterclockwise into the positives (graph quadrant IV).
