Answer:
(a) ratio of all books to new books is 17 : 8
or in quotient form: 17/8
(b) ratio of all books to used books is 17 : 9
or in quotient form: 17/9
Step-by-step explanation:
Number of new books = 8
Number of used books = 9
Total number of books = 17
Recall also that ratios are written with the symbol ":" in between the first quantity and then the second quantity, thus the symbol ":" replacing the word "to". For example "Ratio of a to b is written with the symbology:
a : b
which can also be translated to the quotient expression: a/b
Then the requested ratio of
(a) all books to new books is 17 : 8
or in quotient form: 17/8
(b) all books to used books is 17 : 9
or in quotient form: 17/9
Add or subtract (5x^2 + x-3) - (-2x^3 + 4)
Answer:
Step-by-step explanation:
(5x^2 + x-3) - (-2x^3 + 4)=2x³+5x²+x-7
Answer:
2x^3 +5x^2 +x -7
Step-by-step explanation:
(5x^2 + x-3) - (-2x^3 + 4)
Distribute the minus sign
(5x^2 + x-3) +2x^3 - 4
Combine like terms
2x^3 +5x^2 +x -7
The ratio x:y is 3:1
Which of the following statements is correct?
1)x is 3/4 of y
2) y is 1/3 of x
3) x is 1/3 of y
4) y is 1/4 of x
y is ⅓ of x
step by step explanation.ratio of x to y is 3:1
x=¾
y=¼
¼÷¾=⅓
that means y is ⅓ of x
to confirm the answer.when you take¾×⅓=¼.
Answer:
Its B
Step-by-step explanation:
Is 1.273 15688 natural number an integer a whole number a rational number
Answer:
It's rational number
Step-by-step explanation:
Natural numbers are the positive integers also known as whole numbers.
Which is the value of this expression when x = negative 2 and y = negative 3? 10 x cubed y squared Negative 720 Negative 360 360 720
Answer:
Step-by-step explanation:
10x^3y^2
10(-2)^3 * (-3)^2 = -720
Answer: Negative 720
Step-by-step explanation:
-2 * -2 * -2 = -8
10 * -8 = -80
-3 * -3 = 9
-80 * 9 = -720
is the sum of (5x - 6) + (x + 2) 6x-4?
Answer:
Yes.
Step-by-step explanation:
Because the terms inside the parentheses are fully simplified, we can just add up the terms:
(5x - 6) + (x + 2) =
5x - 6 + x + 2 =
5x + x - 6 + 2 =
6x - 4
Find a. Roud to the nearest tenth:
2cm
15*
a
105*
c
Answer:
So since we use law of sines. We can get 2 fractions equal to eachother but first we need to solve for missing angle. That would be 180-105-15 = 60
So now we can get a fraction. So that means that sin(105)/2 = sin(60)/a
Then we do recipricol. 2/sin(105) = a/sin(60)
multiply by sin(60) both sides.
2sin(60)/sin(105) = a
round and solve and we get a is equal to
1.7931 or 1.8
Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .
Answer:
B. x + 0.2x
Step-by-step explanation:
0.2 is equal to 20%
x represents the amount of dollars, and 20% of x would be written as 0.2x.
The 20% of x would be added to the money before the 20%, so, the answer is b, x + 0.2x.
pls help me with this if you know it also to explain it thanks Solve the equation -21 + 70n = 77 for n.
Answer:
n = 1 2/5
Step-by-step explanation:
-21 + 70n = 77
Add 21 to each side
-21+21 + 70n = 77 +21
70n = 98
Divide each side by 70
70n/70 = 98/70
n =98/70
n = 70/70 +28/70
n = 1 + 2/5
n = 1 2/5
Answer:
This would also be known as 7/5
Step-by-step explanation:
The person above included the mixed number but I just thought it would be nice to save some of the math for some people. Have a good day !!
Simplify the expression.
4(-8x + 5) - (-33x - 26) =
Answer: x=-46
Step-by-step explanation:
Assuming the expression equals 0 (I'm not sure since you didn't explicitly state that, but I inferred for the sake of answering the question):
4(-8x+5)-(-33x-26)=0
-32x+20+33x+26=0
1x+46=0
x=-46
Hope that helps!
Answer:
x+46
Step-by-step explanation:
I used distribution for the first half of the equation, and got -32x+20. I used the negative on the second and mad it positive: 33x+26. I combine like terms, adding 33 to -32, got 1, then added 20 and 26. My answer was as listed above.
Hope this helped!
this is my question -- solve x^2+5x+6=0
Answer:
x = -2,-3
Step-by-step explanation:
Solve the equation by factorizing.
To factorize this equation, you have to find the two numbers that adds up to 5 and multiplies to 6.
This one is obvious, but for others you may use trial and error.
After finding the 2 numbers: 2 and 3.
Present them in this format:
(x+3) ( x+2) = 0
You may check if this is correct using the distribution method.
After this,
you have to solve it individually.
for example:
x+3 = 0
x = -3
x+2 = 0
x = -2.
Thus, x has 2 different values: -3, -2.
You may check this by substituting x with either of these values.
Please mark brainiest
factories fully the flowing
[tex]x^{2} +3x \\2x^{2} -8x \\6x+9x^{2} \\12x^{3} -4x^{2}[/tex]
Answer:
Given below:)
Step-by-step explanation:
1) (x)(x+3)
2) (2x)(x-4)
3) (3x)(2+3x)
4) (4x^2)(3x+1)
I have factorised all of them by taking the common factor out of each
Can someone please help me??
Answer:
A∪B = {0,1,3,5,6,7,9}
A∩B = {3}
Step-by-step explanation:
A = {1,3,5,7}
B = {0,3,6,9}
Now
A∪B is a union (unity) of both sets
A∪B = {0,1,3,5,6,7,9}
Now
A∩B is the intersection(common elements) of both sets
A∩B = {3}
Answer:
Step-by-step explanation:
A ={1, 3 , 5 , 7}
B= {0, 3 , 6 , 9}
A U B is a set of all distinct elements that are in A or B
A U B = {0, 1 , 3 , 5 , 6 , 7 , 9}
A ∩ B is a set of all distinct elements that are in both A & B
A ∩ B = {3}
Identify the percent of change as an increase or decrease. Then find the percent of change, rounding to the nearest tenth of a percent, if necessary.
60 cars to 24 cars
Answer:
-60% decrease
Step-by-step explanation:
60 is the old value and 24 is the new value.
percent change = [tex]\frac{new - old}{|old|}[/tex] x 100%
so for this problem, you can substitute the values given in the formula:
percent change = [tex]\frac{60-24}{|60|}[/tex] x 100% = [tex]\frac{-36}{60}[/tex] x 100% =
-60% (decrease)
I have a test in 2 days please do quickly!!! What is a ratio???!!??
Answer:
A ratio is when 2 values that come from related things are compared in the form of x:y
Answer:
comparison between things
Step-by-step explanation:
for example:
16 girls and 8 boys in a class room
the ratio would be 2:1 (girls:boys)
Suppose figure A underwent a dilation to produce figure B. Are figure A and figure B similar?
Answer:
Figure A and B are still congruent to each other. the only change is the size of the shape.
Step-by-step explanation:
Yes, figure A and figure B similar because even though their side lengths are different, their internal angles are the same.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
Suppose figure A underwent a dilation to produce figure B.
Now, A dilation is a transformation that produces an image that is the same shape as the original, but is a different size
if Dilation factor N then image Size is multiplied by N
if Scale factor < 1 then image get reduced
if scale factor > 1 then image get enlarged
scale factor = 1 lead to Same size image
Hence, Figure A and figure B similar because even though their side lengths are different, their internal angles are the same.
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what is question 67?
Answer:
create a graph
Step-by-step explanation:
you have to make a line on the graph using the function
Please help me simplify these expressions
Answer:
32•z^4•s^7
20w^9
Step-by-step explanation:
We simply use the multiplication law of indices to work these out.
1. 8zs^2 * 4z^3s^5 = 32 * z^(1+3) * s^(2+5) = 32•z^4•s^7
2. 5w^5 * 4w^4 = 20 * w^5 + 4 = 20w^9
Simplify this algebraic expression completely.
8y-2(y + 4)
A. 6y + 4
B. 6y + 2
C. 6y-8
D. 6y - 4
Answer:
C.) 6y-8
Step-by-step explanation:
8y-2(y+4)
8y-2y-8
6y-8
So answer is C
Answer:
Option C
Step-by-step explanation:
[tex]8y-2(y+4)\\\\\text{Distribute:}\left \{ {{-2*y=-2y} \atop {-2*4=-8}} \right. \\8y-2y-8\\\text {Combine like terms:}\\8y-2y=6y\\\text {We are left with:}\\\boxed {6y-8}\\\text {This is the simplest form of the equation. Option C should be the correct answer.}[/tex]
Which is a zero of the quadratic function f(x) = 16x2 + 32x − 9? x = –5.25 x = –2.25 x = –1.25 x = –0.25
Answer:
answer b -2.25
Step-by-step explanation:
The zero of the quadratic function f(x) = 16x2 + 32x − 9 is -2.25
How to determine the zero?We have:
f(x) = 16x^2 + 32x - 9
Next, we test the options.
x = –5.25
f(-5.25) = 16(-5.25)^2 + 32(-5.25) - 9
Evaluate
f(-5.25) = 264 --- this is false
x = –2.25
f(-2.25) = 16(-2.25)^2 + 32(-2.25) - 9
Evaluate
f(-2.25) = 0 ---- this is true
Hence, the zero of the quadratic function f(x) = 16x2 + 32x − 9 is -2.25
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Share £90 in the ratio 1:5
Answer:
the answer is
Step-by-step explanation:
if we take a and b as two pupil to share the money,then a gets
$15 and b gets $75
sum of the ratio is=6
a =1/6×$90
=$15
b=5/6×$90
=$75
Please explain and show work. In the function f(x)=cosx, f(x) is multiplied by a factor of 3, x is replaced with 4x and 5 is added to the function. Explain the effects this has on the graph of the function (i.e. horizontally, vertically, compressed, stretched, etc.).
Your graph will actually look like an oscillation (wave), it will be more compressed horizontally. As the value of x increases withe very whole number, your graph will compress horizontally. More like in the image below.
The value of b when solving the equation 2 (6 + 12) = 16 is:
Answer:
Step-by-step explanation:
2(6+12)=16
2 X 6 + 2 X 12
12 + 24
26 = 16
HOPE U GE5T IT
If f ( x ) f ( x ) is a linear function, f ( − 5 ) = 0 f ( - 5 ) = 0 , and f ( 2 ) = 4 f ( 2 ) = 4 , find an equation for f ( x ) f ( x )
f(x)=________
================================================
Explanation:
We have
f(-5) = 0 and f(2) = 4
This means the two points (-5,0) and (2,4) are on this line
----------
Find the slope of the line through (x1,y1) = (-5,0) and (x2,y2) = (2,4)
m = (y2 - y1)/(x2 - x1)
m = (4 - 0)/(2 - (-5))
m = (4 - 0)/(2 + 5)
m = 4/7 is the slope
----------
Plug m = 4/7 and (x1,y1) = (-5,0) into the point-slope formula. Solve for y.
y - y1 = m(x - x1)
y - 0 = (4/7)(x - (-5))
y = (4/7)(x + 5)
y = (4/7)x + (4/7)*5
y = (4/7)x + 20/7
f(x) = (4/7)x + 20/7
This linear equation has a slope of 4/7 and a y intercept of 20/7.
The equation for f ( x ) would be; f(x) = (4/7)x + 20/7
What is the slope?The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
We are given f(-5) = 0 and f(2) = 4
This means the two points (-5,0) and (2,4) are on this line
To Find the slope of the line through (x1,y1) = (-5,0) and (x2,y2) = (2,4)
m = (y2 - y1)/(x2 - x1)
m = (4 - 0)/(2 - (-5))
m = (4 - 0)/(2 + 5)
m = 4/7 is the slope
Then substitute m = 4/7 and (x1,y1) = (-5,0) into the point-slope formula. Solve for y;
y - y1 = m(x - x1)
y - 0 = (4/7)(x - (-5))
y = (4/7)(x + 5)
y = (4/7)x + (4/7)*5
y = (4/7)x + 20/7
f(x) = (4/7)x + 20/7
The linear equation has a slope of 4/7 and a y intercept of 20/7.
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Please help meeee !!
Answer:
The answer is B
Q1.work out the sum of the interior angles of a pentagon.
Q2.work out the size of one interior angle of a regular octagon.
Q3.work out the size of one exterior angle of a regular hexagon
Answer:
Question 1:
The sum of interior angles of a polygon can be found by the following formula:
(n-2) × 180
Where n is the no. of sides
A pentagon has 5 sides
So,
= (5-2) × 180
= (3) × 180
= 540 degrees
Question 2:
Since The sum of interior angles of a regular octagon is 1080 and the total interior angle are 8
So, Measure of interior angle = [tex]\frac{1080}{8}[/tex]
Measure of interior angle = 135 degrees
Question 3:
Since, one interior angle in a hexagon measures 120 degrees.
So,
The interior angle should be subtracted by 180 to get the exterior angle.
Exterior angle = 180-120
Exterior Angle = 60 degrees
help please, I don't know it please
Answer:
second payment from the left
Step-by-step explanation:
A car loan should decrease as time passes when you make regular payments
This should be the second payment from the left
Urgent! please help!
(row 1-2) Select if each situation represents a nonlinear function, a linear function, or not a function.
Answer:
Table 1 is definetely non-linear thats because if 10 - 8
then you multiply both sides by 4 you get 40 - 32 but instead of 32 it says 23.
Table 2 is also non-linear because if 8 - 4 that means y=x/2 but for 20-16 it should be 20-10 if it was linear but its not
BOTH ARE NON-LINEAR
Classify the following triangle. Check all that apply.
If 7+5x+9=−3x , then x=−2 . Drag and drop the reasons to correctly complete each box.
Answer:
Where are the reasons and boxes? Could you repost with more information or a picture please? Thank you!
Step-by-step explanation:
A box is filled with9 yellow cards,2 red cards, and 9 blue cards. A card is chosen at random from the box. What is the probability that the card is not red? Write your answer as a fraction in simplest form.
Answer: 9/10
Step-by-step explanation:
Total cards are 20
Out of these, only 2 are red. So, the probability of the card not being red is 18/20 = 9/10
Answer:
Brainliest here! >:D
Step-by-step explanation:
the is a total of 20 cards
2 of them of red
so 18 of the 20 (18/20) is not red
so the probability theroticatily is 9/10 or 90%
