Answer:
142 pages
Step-by-step explanation:
The parameters given are
First page of part of the book available = 143
The last is numbered with the digits 143
Since the book is said to have been split into two parts with, we have that one part of the book starts from the beginning, while the other part continue from the first part stops
Number on the pages on the first part = from 1 to number on the first page on the second part - 1
Hence, the part of the book available is the second part and the number of pages in the first part = 1 to 142 or 142 pages.
The ratio of a to b is 3 to 1, and the ratio of b to c is 1 to 5. What is the value of 2a+3b/ 4b+3c?
A. 3/16
B. 9/19
C. 1/2
D. 5/7
E. 18/19
Answer:
B
Step-by-step explanation:
Expressing the ratios as fractions, that is
[tex]\frac{a}{b}[/tex] = [tex]\frac{3}{1}[/tex] ( cross- multiply )
a = 3b
[tex]\frac{b}{c}[/tex] = [tex]\frac{1}{5}[/tex] ( cross- multiply )
c = 5b
------------------------------------------
Given
[tex]\frac{2a+3b}{4b+3c}[/tex] , substitute values from above for a and c
= [tex]\frac{2(3b)+3b}{4b+3(5b)}[/tex]
= [tex]\frac{6b+3b}{4b+15b}[/tex]
= [tex]\frac{9b}{19b}[/tex] ← cancel b on numerator/ denominator
= [tex]\frac{9}{19}[/tex] → B
Wendy and her friend Sandra went to dinner. Their total food bill was $25.00. The tax was 7%. How much was the tax? How much was the bill including the tax?
Answer:
the answer is 175
Step-by-step explanation:
you will do 2500*7/100
The ratio of ages of kissi and esinam is 3:5 and esinam is 3:5 The sum of ages of all 3 is 147 years.whats the age difference between oldest and youngest ?
Answer:
48 years.
Step-by-step explanation:
Consider the complete question is "The ratio of ages of kissi and esinam is 3:5 and that of esinam and lariba is 3:5. The sum of ages of all 3 is 147 years. whats the age difference between oldest and youngest ?"
It is given that
Kissi : Esinam = 3:5 = 9:15
Esinam : Lariba = 3:5 = 15:25
So, the combined ratio is Kissi : Esinam : Lariba = 9:15:25
Let ages of Kissi, Esinam, Lariba are 9x, 15x and 25x.
Sum of ages of all 3 is 147 years.
[tex]9x+15x+25x=147[/tex]
[tex]49x=147[/tex]
[tex]x=3[/tex]
The value of x is 3. So, the age of all three are
[tex]Kissi=9x=9(3)=27[/tex]
[tex]Esinam=15x=15(3)=45[/tex]
[tex]Lariba=25x=25(3)=75[/tex]
Since Lariba is oldest and Kissi is youngest, therefore, the difference between their ages is
[tex]75-27=48[/tex]
Hence, difference between oldest and youngest is 48 years.
solve the equation x square - 9+20=0
Answer:
[tex]\sqrt{11i}[/tex]
Step-by-step explanation:
x^2-9+20 = 0
x^2+11 = 0
x^2 = -11
x = [tex]\sqrt{-11} \\\sqrt{11i} \\[/tex]
Which numbers are written in scientific notation check all that apply
Answer:
2.7 x 10⁻³
6.1 x 10⁵
9.582 x 10⁶
Step-by-step explanation:
The first digits part should be more or equal 1 and less 10
Answer:
Step-by-step explanation:
B c and d
Jacob traveled 171 miles in 3.8 hours. He wants to know how many miles he traveled in one hour, so he set up this problem: 171 divided by 3.8 Jacob started by multiplying the divisor and the dividend by 10. This is the new problem: 1710 divided by 38 Use long division to find the quotient. 0.45 4.5 45 450
See the attached picture
Answer:
45
Step-by-step explanation:
(i just highlighting the answer from the other person's paper)
A recent school survey found that 8 out of 10 students plan to go to college after graduating high school. At that rate, how many of the 2540 students at the local high school plan to go to college?
Answer:
1960
Step-by-step explanation:
8 out of 10 is 80% or 0.8. 0.8 * 2540 = 1960 students.
Answer:2032
Step-by-step explanation:
8 out of 10 is 80% or 0.8 then 2540 times 0.8=2023
Use the fact that d = rt to write the system of equations that represents the scenario. Let x be the speed of Aro's paddling and let y be the speed of the river. Upstream: 5.2 = ( ) Downstream: 5.2 = ( )
Answer:
Answer: upstream: 5.2= (x-y) 5
Downstream: 5.2= (x+y) 2.5
Step-by-step explanation:
The equations for upstream and downstream motion for time [t] seconds are -
5.2 = (x - y) t
AND
5.2 = (x - y) t
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line in point slope form can be also written as-
[tex]y-y_{1}=m\left(x-x_{1}\right)[/tex]
We have the following problem -
Let x be the speed of Aro's paddling and let y be the speed of the river. Upstream: 5.2 = ( ) Downstream: 5.2 = ( )
We can write the equations for upstream and downstream motion for time [t] seconds as -
Upstream - (Opposing motion)
5.2 = (x - y) t
Downstream - (Supporting motion)
5.2= (x + y) (t/2)
Therefore, the equations for upstream and downstream motion for time [t] seconds are -
5.2 = (x - y) t
AND
5.2 = (x - y) t
To solve more questions on system of equations , visit the link below-
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Carol is y years old and her daughter is 25 years younger.find carols present age if sum of ages in 6 years time is 75
Indicar a qué propiedad pertenece cada uno de los siguientes casos: -7,5 + 3/2 = -6 3√2 + 2√2 = 5√2 (1/2) + (3 + √8)
Joey is at the pet store wanting to purchase a puppy. The cost of the puppy is $65. He will need to purchase supplies for his new puppy. The puppy food and training pads are the same price. If Joey spends $97 on this total purchase, how much would the puppy food and training pads cost? Explain your answer.
Answer:
97 - 65 = $32 for both the puppy food and training pads
32 / 2 = $16 for the puppy food and $16 for the training pads
2) The fish population in a local stream is decreasing at a rate of 3% per year. The population in 2005 was 48,000. What is the population now?
Answer:
30396 fish.
Step-by-step explanation:
We are in 2020, that is, 15 years have passed since 2005, to calculate the population it would be:
The first year there would be 48,000, then each year it decreases by 3%, that is, the first one was like this:
48000 - 48000 * 0.03
That is to say:
48000 * (1 - 0.03)
Now, depending on the year number it would be:
48000 * (1-0.03) ^ n
But how were 15 years n = 15, then:
48000 * (1-0.03) ^ 15 = 30396.057
The fish population would be 30396 fish.
Which equation is equivalent to -2(2 − 2x) = 4 − 8(1 − x)
0 = 4x
8 = 4x
4 = -4x
16 = -4x
Answer:
8 = 4x OR 0 = 4x
Step-by-step explanation:
I not %100 sure or it could be 0 = 4x
EITHERONE
i hate math bro please help me
Answer:
D
Step-by-step explanation:
D is the correct answer, (-y, x)
solve the system of simultaneos equations using substitution method. 2/x-3/x=1 equation one 1/x-2/y= 2. equation two
Answer:
First solve the first one
2/x -3/x = 1
Multiply through by x
2/x×x -3/x×x = x
You will get
2 - 3 = x
x = - 1
Substitute x into the second Equation
1/x - 2/y = 2
x = 1
1/1 -2/y = 2
-2/y = 2-1
-2/y = 1
y = -2
Therefore x = - 1 and y = - 2
Hope this helps.
3x^2 -5x -2=0
help factor left side please!!
y’all i didn’t sleep at all last night and i cannot remember how to factor the first half of the equation help me out asap please guys
Answer:
Step-by-step explanation:
1. Find two numbers that add to make the coefficient of x (in this case, -5) and that multiply to make the constant term multiplied by the coefficient of x^2 (in this case, -2 x 3 = -6)
Two numbers that work are -6 and +1
-6 x +1 = -6
-6 + -1 = -5
2. Split the middle term into the two numbers that you found.
3x^2 -6x +x -2 = 0
I've put the -6 on the left side because in our next step, when we factorise, it will be easier than having the numbers the other way around.
3. Factorise the left side by taking out common factors from each pair. The pairs I'm talking about here are '3x^2 and -6x', and 'x and -2'
3x (x-2) +1 (x-2) = 0
4. You now have two numbers both being multiplied by the term x-2. We can rearrange this equation to give us two brackets being multiplied by each other.
(3x + 1) (x-2) = 0
5. According to the Null Factor Law, if two terms are multiplied together and the result is 0, then one of those terms must be 0. Make both terms equal to 0 and solve each for x.
3x + 1 = 0 x-2 = 0
3x = -1 x = 2
x = -1/3
6. The solutions to this equation are x = 2 and x = -1/3
Answer:
Step-by-step explanation:
Start by separating (not factoring) -5x. For example, we might get {-2x, - 3x} (note how these combine to produce -5x). Might have to try several combinations to find the right one.
Then 3x^2 -5x -2=0 could possibly be x(3x - 2) - (3x - 2), or
x(3x - 2) - 1(3x - 2).
Notice how the factor (3x - 2) shows up twice. If we factor out (3x - 2) we are left with (x - 1). We check these results by multiplying (3x - 2) and (x - 1) together, so we can be sure that the result is the original 3x^2 -5x -2=0.
(3x - 2)(x - 1) = 3x^2 - 3x - 2x + 1 results in 3x^2 - 5x + 2. Unfortunately, the sign of that 2 is incorrect; we'd hoped for -2, not +2.
To check this further, I used synthetic division with 1 as divisor; the remainder is -4, which tells us that (x - 1) is not a factor of 3x^2 -5x -2=0.
Please double check to ensure that you have copied this problem down correctly.
How do I solve this ?
Answer:
Base is 5/6
Step-by-step explanation:
We calculate the area of a triangle by multiplying height to the base and that divided by two
Let's call the base X
5/36 cm^2 = 1/3 × X ÷ 2 multiply both sides of the equation by 2
2 × 5/36 = 1/3 × X ÷ 2 × 2
5/18 = X/3 now divide both sides by 3
5/18 ÷ 3 = X/3 ÷ 3
X = 5/6
1⁄7 + 1⁄2 + 3⁄4 =jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj
Answer:j=39/28 or 1.392857 or 1 11/28
Step-by-step explanation:
I assume that you are looking for j
1⁄7 + 1⁄2 + 3⁄4=j
9/14+3/4
39/28
Is ½% greater than or less that one hundredth?
Answer:
1/2 Is Greater
Step-by-step explanation:
If you have HALF of 100 you have have 50. If you have 1/100 of 100 you have 1. Therefore, 50>1, so 1/2 is greater.
Find the value of x (3x-9) (x + 7)
Answer:
x=-3 and x=-7
Step-by-step explanation:
Answer:
23
Step-by-step explanation:
i just took the test, its 23
What is the length of EF?
Answer:
5
Step-by-step explanation:
the measure DF is 7
DE = 2
to get EF, you have to subtract 2 from 7
7 - 2 = 5
Answer with steps by step please
Answer:
a is 1
Step-by-step explanation:
[tex]a+\dfrac{1}{a}=2[/tex]
Multiply both sides by a:
[tex]a^2+1=2a[/tex]
Move everything to one side:
[tex]a^2-2a+1=0[/tex]
Factor:
[tex](a-1)^2=0[/tex]
By the zero product rule, a is 1.
Therefore, the expression is true, because:
[tex](1)^2+\dfrac{1}{a^2}=a^4+\dfrac{1}{a^4}=1+1=2[/tex]
Hope this helps!
How do I solve this problem?
Answer:
x = 12
Step-by-step explanation:
(whole secant) x (external part) = (whole secant) x (external part)
(6+x) *6 = (4+23) * 4
(6+x) *6 = 27*4
6(6+x) = 108
Divide each side by 6
6+x =18
Subtract 6 from each side
6+x-6 =18-6
x = 12
Simplify the radical expression.
Answer:
x^4y^9, the second option.
Step-by-step explanation:
A radical sign over an expression also means the expression is to the power of 1/2. In other words, the square root of n=n^1/2
(x^8y^18)^1/2
You divide the powers by 2
x^4y^9 is the answer
Answer:
b
Step-by-step explanation:
A town's population is 33.950. About 100 people move out of the town cach month. Each month, 125 people on average move into town. A nearby
town has a population of 35,700. It has no one moving in and an average of 150 people moving away every month. In about how many months will the
populations of the towns be equal? Pick the correct equation to model the situation. Then solve the equation and answer the question,
A. 125m-100m+35,700-33,950-150m
B. 125m-100m+33,950-35,700-150m
C. 125m+100m+35,700-33,950+150m
D. 125m+100m+33,950-35,700+150m
The correct equation is choice letter
months
The towns will have equal populations in about
The equaitons are y = 25m + 33950 and y = 150m + 35700. Then the number of months will be 10 months. Then the correct option is B.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Let 'm' be the number of months and 'y' be the population. Then the equations are given as,
y = (125 - 100) m + 33,950
y = 25m + 33950 ...1
y = 150m + 35700 ...2
From equations 1 and 2, then we have
150m + 35700 = (125 - 100) m + 33950
125m - 100m + 33950 - 35700 - 150m = 0
175m = 1750
m = 10 months
The equaitons are y = 25m + 33950 and y = 150m + 35700. Then the number of months will be 10 months. Then the correct option is B.
More about the linear equation link is given below.
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How to factor 3x^2-10x-8?
[tex]answer \\(x - 4)(3x + 2) \\ solution \\ {3x}^{2} - 10x - 8 \\ = {3x}^{2} - (12 - 2)x - 8 \\ = {3x}^{2} - 12x + 2x - 8 \\ = 3x(x - 4) + 2(x - 4) \\ = (x - 4)(3x + 2) \\ hope \: it \: helps[/tex]
Answer:
Step-by-step explanation:
how do you know if a transfomation is rotation translation or reflection
Answer:
Step-by-step explanation:
Translation: You move the shape by moving the points on the shape by the number, it changes the location of the shape.
Reflection: There is a line of reflection and the shape will be reflected by that, like a mirror, so it will be the same shape, same size.
Rotation: There is a point of rotation and the shape will just move around that point and will change the positioning if the shape. Always has coordinates
If the pattern rule is defined by the equation `t = 6n`, where `t` is the term value and `n` is the term number, what is the one hundredth term?
Answer:
600
Step-by-step explanation:
Given
equation t = 6n
n is term number
we have to find 100th term.
Thus, term number is 100
substituting 100 in place of n in equation t=6n , we can find the value of 100th term
t = 6*100 = 600
Thus, 100th term is 600.
Which diagram represents a line of symmetry for the regular pentagon?
The correct answer is Pentagon 2 or B
Explanation:
In mathematics and related disciplines, a line of symmetry is a line that divides a figure, for example, a triangle, circle, or pentagon into two symmetrical or equal sides. This means you can fold the image following the line and both sides will be identical. This occurs in the second pentagon because the line that begins in the top of the figure divides it into two equal sides. Indeed each of the sides includes half of the base and two angles that coincide if you fold the figure following line.
Answer:
its b
Step-by-step explanation:
literally the only one you can fold in half
2) Find the probability of rolling a 2 or smaller.
There are 6 numbers in one die.
There are 2 numbers that are less than or equal to 2, they are 1 and 2
The probability of something happening is the number of chances / total number
The probability would be 2/6, which can be reduced to 1/3
