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
If the terminal side of angle θ passes through a point on the unit circle in the first quadrant where y=2√2, what is the exact measure of θ? Give your answer in radians.
Answer:
Please double check the question
y = 2√2 is not on the unit circle
The exact measure of the angle is 45°. If the terminal side of angle θ passes through a point on the unit circle in the first quadrant where y=2√2,
How to get the angle?A Unit circle is defined as a circle having a radius of 1 unit and having its center at the origin.
We know that the terminal side passes through a point of the form (√2/2, y).
Notice that the point is on the unit circle, so its module must be equal to 1, so we can write:
[tex]1=\sqrt{(\dfrac{\sqrt{2}}{2})^2+y^2}[/tex]
[tex]1^2=\dfrac{2}{4}+y^2[/tex]
[tex]1-\dfrac{1}{2}=y^2[/tex]
[tex]Y=\dfrac{1}{\sqrt{2}}[/tex]
We know that y is positive because the point is on the first quadrant.
Now, we know that our point is:
(√2/2, 1/√2)
And we can rewrite:
√2/2 = 1/√2
So the point is:
( 1/√2, 1/√2)
Finally, remember that a point (x, y), the angle that represents it is given by:
θ = Atan(y/x).
Then in this case, we have:
θ = Atan(1/√2/1/√2) = Atan(1) = 45°
If you want to learn more about angles, you can read:
brainly.com/question/17972372
BRAINLIEST TO WHOEVER ANSWERS RIGHT
Answer:
the answer is -1 have a great day!
Step-by-step explanation:
Answer:
its D
D = IStep-by-step explanation:
The powers of i repeat in cycle of 4. For example, here are the first 4:
1: i
2: -1
3: -i
4: 1
If a number is divisible by 4, i to the power of that number would be 1. So, i^20 is 1, but we are multiplying it by i again, so the answer would be 1 * i = i
Got the answer from aklee18oo from brainly give him some credit
What is the leading coefficient of the polynomial f (x) defined below? f (x) = 9x^3 - 7x
well, first off let's check which term has the highest degree, hmmm in this case it has to be the x³, so that's the leading term and its coefficient is 9.
For the student council meeting after school, Mr. Aggie brought 7 loaves of homemade raisin bread. Each loaf was cut into 20 equal pieces. The sixth grade students ate 1 whole loaf and 4 slices of raisin bread. The seventh grade students ate 9 slices of raisin bread. The eighth grade students ate 6 slices of raisin bread. Which expression below can be used to show the amount of raisin bread eaten by the student council members?
Answer:
proportion of ratio will be used
Answer:
C. 1 4/10 + 9/10 + 6/10
got it right
Determine the total of each rectangle.Each number inside the rectangle represent the area of the smaller rectangle while each number along the side represents the length of the position on the side
Answer:
Hmmm, maybe this?
Step-by-step explanation:
19+0.12x=0.16x
This whole entire unit is pretty simple, but apparently my brain won't think.
Could you please help?
Answer:
0.04x = 19
x = 475
Step-by-step explanation:
19 + 0.12x = 0.16x
Take away 0.12x from both sides
19 = 0.04x
Divide 19 by 0.04 to find x
x = 475
Answer:
475
Step-by-step explanation:
First, you have to simplify the equation by moving all the like terms to one side of the equal sign.
This entails the taking of 0.12x to the right side of the equal sign.
Remember, when we take anything over the equal sign if it was a positive sign like in this case, it becomes a negative one and the opposite is true if the sign was negative.
So we have
19=0.16x - 0.12x
We then simplify further and get the equation
19=0.04x
To obtain the true value of x, we divide both sides of the equation by 0.04x as follows:
19/0.04=0.04x/0.04
We then find that
x= 475
solve pls brainliest
Answer:
for the first one it 2
3
12
Please take a look at the picture
Answer:B
Step-by-step explanation:
A: cannot be because it’s the same but the -m is not equal .
B: is the same as ,and B: because 2 (minus number) = right number .
C:Is nOne oF the AboVe
Sorry if explanation is not clear but yes it’s is 99% B ;)
But I do think it is wrong…
Hope you have a. Great day!
:)
What would the answer be
Answer:
B.
Step-by-step explanation:
process of elimination. the red dot is not a 1/4 of the number of lines, so it cant be 12.25, 13.625 is impossible because it has a value less than 13, and 12.625 is impossible as well because it has a value less than 12.5 therefore 12.375 is the best answer, and the only correct answer
indicate which property is illustrated below. 10 x + 11 x=(-10 + 11) x
Answer:
distributive property
Step-by-step explanation:
I ASSUME that you meant to lead the equation with a negative sign.
- 10x + 11x = (-10 + 11)x
ayo is 37 years old and Abdul salami is 6 years old. how many years ago was the product of their ages 96
Factorise
x2 + 11x + 28
Answer:
[tex]\huge\boxed{(x+7)(x+4)}[/tex]
Step-by-step explanation:
To factor a polynomial expression with a degree of 2, simply look at the second and last term (11x and 28). Discard the x and you are left with 11 and 28.
To factor the equation, simply find two numbers that add to 11, and multiply to 28, 4 and 7. Then, simply use those two numbers to make the terms.
Hope it helps :) and let me know if you want me to elaborate.
Does anyone know this?
Answer:
I think 7.6 i remember i had something like this
Step-by-step explanation:
Select the equation which represents the equation solved for y.
−20x+5y=35
y=4x+7
y=−4x+7
y=−4x−7
y=4x−7
A check for two hundred fifty dollars as a withdrawal:
A check for $250 serves as an instruction to the bank to withdraw that amount from the account holder's balance and provide it to the recipient upon deposit or cashing.
When a check is written for two hundred fifty dollars ($250) as a withdrawal, it means that the individual is requesting a withdrawal of $250 from their account using a check.
The check serves as a formal written order instructing the bank to pay the specified amount, which in this case is $250, to the person or entity named on the check. The account holder will typically write the check and provide it to the recipient as a means of transferring funds.
The recipient can then deposit or cash the check at their bank, and the bank will process the transaction by deducting $250 from the account holder's bank balance and providing the recipient with the requested funds.
for such more question on transaction
https://brainly.com/question/1016861
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8x + 1/3 = 2/3 what is the answer?
Answer:
1/24
Step-by-step explanation:
8x + 1/3 = 2/3
- 1/3 - 1/3
8x = 1/3
8x/8 = (1/3)/8
x = 1/24
1. Mark each of the following graphs as (a) a function, but not one-to-one, (b) one-to-one function, or (c) not a function. In each case, explain how you know. (1 point each)
Answer:
(a) a function, but not one-to-one
Step-by-step explanation:
The graph is of a function if it passes the vertical line test: a vertical line intersects the graph in at most 1 point.
The function is one-to-one if it passes the horizontal line test: a horizontal line intersects the graph in at most 1 point.
__
Here, the graph consists of a series of non-overlapping horizontal lines. It passes the vertical line test (is a function), but a horizontal line can intersect the graph in an infinite number of points (is not one-to-one).
The graph is a function, but not one-to-one.
In order to join a dance class at Dancing’s Lily’s Academy, you must pay a $335 annual fee plus $13.75 for each class you attend. You plan to spend $500 dollars on your dance classes. Write and solve an equation for how many dance classes you will take.
Answer:
12
Step-by-step explanation:
335 + 13.75x = 500
Subtract 335 from each side
13.75x = 165
Divide each side by 13.75
x = 12
You can attend 12 dance classes with $500.
9514 1404 393
Answer:
12 classes
Step-by-step explanation:
The total cost for c classes will be ...
335 + 13.75c = 500
13.75c = 165 . . . . . . . . . .subtract 335
c = 12 . . . . . . . . . . . divide by 13.75
You will take 12 classes.
PLS HELP WILL MARK BRAINLIEST
I really need help with my question!
Answer:
4
Step-by-step explanation:
because the others are shown wrong in 2 there are 5 tally marks and in 10 there are 6 telly marks
Answer: i just did this and its 4
Step-by-step explanation:
im dum as fudge
Please answer number 8
Answer:
d q knows
Step-by-step explanation:
sory need points
2yx= 4 is it a linear function?
Answer:
No, it is not a linear function, rather a rational function
Step-by-step explanation:
Because the term on the left-hand side contains both x and y, then neither variable varies directly with the other, hence, it's a rational function:
2yx=4
yx=2
y=2/x
Calcular la masa que tiene un cuerpo que se le aplica una fuerza que empuja al lado derecho de 230 N y otra fuerza que empuja al lado izquierdo de - 150N. Considerar que la aceleración que adquiere es de 2 m/s2.
Answer:
Calculate the mass of a body that is applied with a force that pushes the right side of 230 N and another force that pushes the left side of - 150N. Consider that the acceleration it acquires is 2 m / s2.
Step-by-step explanation:
230 e dos
) 11. Last week, Raj camned $58. He spent $12 and saved the rest Nlichael earned 583 and Saved $20. Who saved the greater percent of his earnings
plz answer this question fast
what is the meaning of decimal explain
Answer:
ddecimal is a fraction
Step-by-step explanation:
Oh a decimal is a fraction written in a special form
1. 6 km = ___ m
2. 8m = _____ km
3. 1dL = _____ mL
4. 30 kg = ____ g
5. 34 mg = ____ g.
!!!!!!!
Answer:
[tex]1)6000m \\ \\ 2)0.008km \\ \\\ 3)100ml \\ \ \\ 4)30000g \\ \\ 5)0.034g[/tex]
MARK ME AS A BRAINLIST PLZ
A bullet train can travel at 170 miles per hour. Will a graph representing distance in miles compared to time in hours show a proportional relationship? Explain
Answer:
yes
Step-by-step explanation:
the relationship between the hours and miles traveled is a direct relationship therefor would be able to be graphed as a linear function.
The expression 13x + 5 represents the number of marbles you have after purchasing 13 bags of marbles.
What does the term 13x represent?
What does 5 represent?
What does x represent
1 1/16 divided by 1 1/16
Answer:
1
Step-by-step explanation: