The books have been sorted into fiction and nonfiction. The number of fiction books is 5 less than 4 times the number of nonfiction books. The books are 70% fiction. Choose the equation that best represents this scenario.
x over quantity 4 times x minus 5 end quantity equals 30 over 100
x over quantity 4 times x minus 5 end quantity equals 30 over 70
The number of fiction books are 7 and number of non fiction books are 3 respectively
let
number of fiction books = x
number of non fiction books = y
x = 4y - 5
Total books = z
x = 70% of z
y = 30% of z
x + y = z
4y - 5 + 30%(z) = z
4y - 5 + 0.3z = z
4y - 5 = z - 0.3z
4y - 5 = 0.7x
4y - 5 = 0.7z
4(0.3z) - 5 = 0.7z
1.2z - 5 = 0.7z
-5 = 0.7z - 1.2z
-5 = - 0.5z
z = -5/-0.5
z = 10
Therefore,
the number of non fiction = 30% of z
= 0.3 × 10
= 3
number of fiction = 70% of z
= 0.7 × 10
= 7
Learn more about equation:
https://brainly.com/question/16450098
Bab needs help with complex numbers
A taxi service charges $1.00 for the first 1/10 of a mile and $0.10 for each additional 1/10 of a mile after that. fill in the table.
distance traveled
(miles)
9/10
2
3 1/10
10
price
?
(dollars)
Is this a proportional relationship?
Type yes or no
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Answer:
$1.80, 2.90, 4.00, 10.90
not proportional
Step-by-step explanation:
For some distance d, we have a charge f(d) that is ...
[tex]f(d)=\begin{cases}1.00&0\le d\le0.1\\1.00+0.10\cdot\dfrac{(d-0.1)}{0.10}&0.1<d\end{cases}[/tex]
for d > 0.1, this simplifies to d +0.9.
Then the charges are ...
[tex]\begin{array}{cc}\underline{\text{miles}}&\underline{\text{charge}}\\9/10&1.80\\2&2.90\\3\ 1/10&4.00\\10&10.90\end{array}[/tex]
The different relation for the first 1/10 mile indicates ...
the relationship is not proportional.
Please help and explain if you can the answer because I don’t know what I’m doing
Answer:
Step-by-step explanation:
Find the values of x, y, and z angle measurements
Find the product using formula ...
formula = ( a + b ) ( a - b )
a) 1.2 × 2.8
Step-by-step explanation:
1.2 × 2.8
(2 - 0.8 )(2 + 0.8)
2² - (0.8)²
4 - 0.64
3.36
[tex]\begin{gathered}1.2 \times 2.8 \\ = (2 - 0.8)(2 + 0.8) \\ = {(2)}^{2} - {(0.8)}^{2} \\ = 4 - 0.64 \\ = 3.36\end{gathered}
[/tex]
Answer:3.36
Hope it helps.
Do comment if you have any query.
What is 2346 to the power of 3?
Answer:
12911717736
Step-by-step explanation:
"236" to the power of 3 is the same thing as multiply 236 by itself 3 times.
236 · 236 · 236 55696 · 236 12911717736Therefore, the answer is 12911717736.
Answer:
12911717736
Step-by-step explanation:
You're basically multiplying 2346 by itself 3 times which is why you get 12911717736
What is the name of the process you use to rewrite a quadratic function from standard form into vertex form?
Graphing the transformation
Completing the square
Creating vertex form
Transforming the parent function.
Answer:
completing the square
Step-by-step explanation:
You can change a quadratic equation from standard form to vertex form by completing the square!
Find the inverse function of f informally.
Answer:
What is f?
Step-by-step explanation:
13. Perry drew a design for a number cube
and marked it with the given dimensions,
Find the surface area of the design.
Answer:
150 cm square
Hope this helps!
1. A cylindrical jar has a radius of 5 inches and a height of 9 inches. The jar is filled with marbles that have a volume of 20 in3. Use 3.14 for pi. Show work. Complete sentences.
a. What is the volume of the jar?
b. How many whole marbles can fit in the jar?
who ever gets the right answer will get brainliest ;)
Answer:
a. Volume = π15.02 9.0=6361.73
b. I am very sorry, I don't know
Step-by-step explanation:
HIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII
Answer:
The x-intercept is a point on the x-axis where the line crosses the x-axis and you can easily find it at point (-7, 0) because the line crosses the x-axis there.
Similarly, the y-intercept is a point on the y-axis where the line crosses the y-axis and you can easily find it at point (0, 2) because the line crosses the y-axis there.
Susie catches 15 butterflies and lets 6 butterflies go for three days in a row
Answer:
Sorry don't report pls I need the points
Step-by-step explanation:
you want to frame a photo from your trip to send home selective frame that suitable for a photo with a perimeter of 70 cm
The population of a city decreases by 1.1% per year. If this year's population is
79,000, what will next year's population be, to the nearest individual?
Answer:
Step-by-step explanation:
100% - 1.1% = 98.9% = 0.989
79000(0.989)¹ = 78,131
or
1.1% = 0.011
79000(0.011) = 869
79000 - 869 = 78,131
It took Jasmine 1 day and 4 hours to travel 1,960 miles. What was her average speed in miles per
hour?
Answer:
it took Jasmine 479 miles per hour
C*C*C=???
helpp me with this
Check the picture below.
amir is buying tickets for the $120 million lottery. If he buys tickets with his brother
Answer:
$20 million.
Step-by-step explanation:
Amir is buying tickets for the $120 million lotteries. If he buys tickets with his brother, then they will split the money equally. But he is also considering buying tickets with his brother’s four friends, and they will each get
The illustration provided in the question is an example of an inverse variation.
What is an inverse proportion?
When there is an inverse proportion, as one of the variable increases, the other variable decreases. As the number of people who share the money increases, the amount of money each person would get would become smaller.
The formula used to represent inverse proportion is:
y = k/x
• y = dependent variable
• x = independent variable
• k = constant of proportionality
Here is the complete question: Amir is buying tickets for the million lottery. If he buys tickets with his brother, then they will split the money equally. But he is also considering buying tickets with his brother's four friends, and they will each get million. Is this an example of direct, inverse, or joint variation?Joint variationInverse variationDirect variation
To learn more about inverse proportion , please check: https://brainly.com/question/25748643
Julie withdrew $64 from her savings account. After the withdrawal she has $127. How much money did julie have before she made the withdrawal?
Answer:
191
Step-by-step explanation:
All you have to do is 127+64 to get the total before the withdrawal.
Which expression is equivalent to (1/square root y)^-1/5
Answer:
y^(1/10).
Step-by-step explanation:
(1/√y)^-1/5
= (y ^-1/2)^-1/5
= y^(-1/2 * -1/5)
= y^(1/10)
Answer:
Step-by-step explanation:
(1/sqrt(y) )^-1/5 To get rid of the minus, turn the sqrt(y) over.
(sqrt(y))^1/5 Represent the square root of y as y^(1/2)
(y^(1/2))^(1/5) Multiply the powers
y ^ 1/10
Kobina sells apple pies for 10gh each.kojo sells beverages for ghc1 each.if kobina sells 23 apple pies and kojo sells 17 beverages,what is the total in sales for both producs combined?
Answer:
680
Step-by-step explanation:
Based on the given conditions, formulate: 17 × ( 23 + 17 )
Calculate the sum or difference: 17 × 40
Calculate the product or quotient: 680
get the result: 680
Answer: 680
(Hope this helps can I pls have brainlist (crown)☺️)
(1 point)
Write the complex number z= -7-10i in polar form: z = r(cos (theta)+ i sin (theta)) where r= and 0 =
The angle should satisfy 0<=theta<=2pi
Answer:
When a complex number z is written in its polar form,z = r(cos theta + i sin theta), the nonnegative number r is called the magnitude, or modulus, of z.
In mathematics, magnitude is the size of a mathematical object, a property by which the object can be compared as larger as or smaller than other objects of the same kind. More formally, an object's magnitude is an ordering (or ranking) of the class of objects to which it belongs.
I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.
BETWEEN WHAT TWO INTEGERS IS THE SECOND ZERO?
Answer:
between 2 and 3
Step-by-step explanation:
see how it crosses the x axis a little after 2, so it's between 2 and 3
Independent Task:
Directions:Write the digit in it's place.
1.) 0.34600
______tenths
______thousandths
______hundred thousandths
______hundredths
2.) 20.00642
_______thousandths
_______hundredths
_______hundredths thousandths
Answer:
1. tenths = 0.3
thousandths = 0.346
hundred thousandths = 0.34600
hundredths = 0.35
2. thousandths = 20.006
hundredths = 20.01
hundred thousandths = 20.00642
Step-by-step explanation:
Hope it helps
Need help !! From mathematics only
Answer:
1) 9h² - 3h + 2h² when h= -1
11h²- 3h
11(-1)²-3(-1)
11+3
14
2) -6m + 3t +2m² when m= 3 and t=-1
-6( 3) +3(-1)+2(3)²
-18 -3 +18
-3
3) 7g² - 2c³/ 3g - c² when g=2 and c= -1
7(2)² - 2(-1)³ / 3(2) - (-1)²
28 +2 / 6-1
30/5
6
Given 4(3x-8)=52 prove x=7
Please help me
Answer:
4(3x-8)=52
divide both sides by 4
4/4(3x-8)=52/4
3x-8=13
add both sides by 8
3x-8+8=13+8
3x=21
divide both sides by 3
3x/3=21/3
x=7
Step-by-step explanation:
Step-by-step explanation:
4( 3x-8) = 52
12x - 32 = 52
Group all like terms
12x = 52 + 32
12x = 84
Divide both sides by 12
12/12x = 84/12
x = 7
Therefore, x = 7.
Hope it helps. Please mark me brainliest.
What is 4a I will give brainiest to whoever’s is first
Suppose all counting numbers are arranged in columns as shown below. Under what letter will the number 2019 appear?
Answer: b
Step-by-step explanation:
Suppose that u⃗ =⟨8,−2⟩ and v⃗ =⟨5,−5⟩. What is the angle between u⃗ and v⃗ , rounded to the nearest degree?
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Answer:
31°
Step-by-step explanation:
One way to find the difference angle is to look at the angle of the quotient. We can use complex numbers to represent the vectors for the purpose of that math. The magnitude is not important in this problem, so we do not have to finish the division.
(8 -2i)/(5 -5i) = (8 -2i)(5 +5i)/((5 -5i)(5 +5i)) = (40 -10i +40i +10)/( )
The numerator is 50 +30i, which has an angle of ...
arctan(30/50) ≈ 30.96° ≈ 31°
_____
Additional comment
Effectively, we have found the angle as the angle of the product of one vector with the conjugate of the other, when written as complex numbers. In vector terms, you might use the definition of the dot product. That seems to take a lot more math.
u·v = |u|×|v|×cos(θ)
θ = arccos(u·v/(|u|×|v|))
θ = arccos((8·5 +(-2)(-5))/√((8² +(-2)²)(5² +(-5)²))) = arccos(50/√3400)
What is the slope of the line x=6
Answer:
undefined
Step-by-step explanation:
Vertical lines never have a defined slope as you can never divide a number by zero
The equation of a line in standard form is:
y
=
m
x
+
b
Where
m
is our slope
b
is our y-intercept
In our case we are only given
x
=
6
x
=
6
is a vertical line therefore the slope is undefined.