Answer:
Step-by-step explanation:
Here's what we know:
1/6 + 2/5 + x = 1 (the fractions read plus the 60 pages (currently an unknown fraction) makes one whole book)
First we need a common denominator. LCD is 30:
5/30 + 12/30 + x = 1
18/30 + x = 1
Subtract:
x = 30/30 - 18/30
x = 12/30
Now we have an equivalency. 60 pages out of the whole book is equal to 12/30. Or:
60/y = 12/30
Cross multiply:
60 * 30 = 12y
Divide both sides by 12:
60 * 30 / 12 = y
Factor out a 6:
10 * 30 / 2 = y
Factor out 2:
10 * 15 = y
150 = y
There are 150 pages in the book.
try this!!!!!!!
Simplify to create an equivalent expression. 617 - 3y) + 6(y + 1)
Answer:
623+3y
Step-by-step explanation:
You distribute the 6 then you add the ys and the numbers together
Is quadrilateral ABCD a rectangle why or why not?
Answer:
Yes, quadrilateral ABCD is rectangle.
Step-by-step explanation:
This is because by looking at the terminology of ABCD, there are 4 variables in total together. This is also because when you see 4 variables together as one, it is a 4 sided quadrilateral.
Feel free to give brainliest.
Have an amazing day!
On the coordinate plane, what is the distance between (4,1) and (5, 1)?
2 points
y-axis
64
$
4
3
1
X-axis
-6
5 4 3 2 1
1 2
3
4.5
-4
1 Unit
4 Units
5 Units
Answer: Sure,
Step-by-step explanation: d
=
√
17
or
d
=
4.1
rounded to the nearest 10th
Explanation:
The formula for calculating the distance between two points is:
d
=
√
(
x
2
−
x
1
)
2
+
(
y
2
−
y
1
)
2
Substituting the two points from the problem and calculating gives the distance as:
d
=
√
(
1
−
2
)
2
+
(
−
5
−
−
1
)
2
d
=
√
(
−
1
)
2
+
(
−
4
)
2
d
=
√
1
+
16
d
=
√
17
d
=
4.1
rounded to the nearest 10th
:)
Answer:
The correct answer is C.
Which is the value of this expression when a = 5 and k=-2?
*
32a-2
75
9
* 25
25
9
75
Answer: it’s A
Step-by-step explanation: I got it right, hope it helps ✨
The value of the expression [tex](\frac{3^{2}a^{-2} }{3a^{-1} } )^{k}[/tex] when a = 5 and k = -2 is [tex]\frac{25}{9}[/tex]
How to substitute and get the value of an expression?The expression is as follows:
[tex](\frac{3^{2}a^{-2} }{3a^{-1} } )^{k}[/tex]
using law of indices
Hence,
when a = 5, k = -2
[tex](\frac{3^{2}a^{-2} }{3a^{-1} } )^{k} = (\frac{9(5^{-2} )}{3(5^{-1} )})^{-2}[/tex]
Then,
[tex](\frac{9(5^{-2} )}{3(5^{-1} )})^{-2}=(\frac{\frac{9}{25} }{\frac{3}{5} } )^{-2}[/tex]
[tex](\frac{\frac{9}{25} }{\frac{3}{5} } )^{-2}=(\frac{9}{25} (\frac{5}{3}))^{-2}[/tex]
[tex](\frac{9}{25} (\frac{5}{3}))^{-2}=(\frac{3}{5})^{-2}[/tex]
[tex](\frac{3}{5})^{-2}=\frac{25}{9}[/tex]
Therefore, the value of the expression is 25 / 9
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4ym - a =z
Solve for M
Answer:
m=z/4y + a/4y
Step-by-step explanation:
[tex] \sqrt[4]{(132) \div (143)} - 2[/tex]
simplify plz fast
Answer:
Step-by-step explanation:
Answer:
fourth root of 12*13^3
-------------------------------- - 2
13
Step-by-step explanation:
First focus on the 132/143 expression inside the 4th root function.
132/143 = 12/13
and so we have:
fourth root of 12/13 - 2
We must rationalize the denominator of the expression shown above. In other words, 12/13 must be rewritten so that the denominator is the fourth power of 13. To do this, multiply that 12 by 13^3 and that 13 by 13^3:
12*13^3
fourth root of { -------------- }
13^3*13
This simplifies to:
fourth root of 12*13^3
--------------------------------
13
To obtain the final answer, subtract 2 as shown in the original problem:
fourth root of 12*13^3
-------------------------------- - 2
13
This table gives a few (x, y) pairs of a line in the coordinate plane.
x...........y
48 -30
61 -45
74 -60
What is the x-intercept of the line?
Answer:
The x-intercept is : (22, 0)
Step-by-step explanation:
From the table values, we determine that it is a straight line as there is a constant change in x and y values.
i.e.
Any previous value of y can be obtained by subtracting 15 from the successor y value.
i.e.
60 - 15 = 45
45 - 15 = 30
so if continue, we can also determine some of the other values of y such as
30 - 15 = 15
15 - 15 = 0
Also, there is a constant change in x values. so, any previous value of x is obtained by subtracting 13 from the successor x value.
i.e.
74-13 = 61
61-13 = 48
48-13=35
35-13=22
So, from the above analysis, we determine that when the value of y = 0, the value of x = 22.
We also know that the x-intercept is the point where the line crosses the x-axis. At this point y = 0.
so, at y = 0, the value of x = 22.
Therefore, the x-intercept is : (22, 0)
Answer:
(22, 0)
Step-by-step explanation:
I got it right on khan
12. A total of 96 pints of blood were collected at the blood drive. How many quarts is this?
Answer: 48
Step-by-step explanation: conversion of pints to quarts will give you 48
In 96 pints, there are equivalent 48 quarts.
What is a expression? What is a mathematical equation?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.We have a total of 96 pints of blood were collected at the blood drive.
1 pint = 0.5 quart
So, in 96 pints, there will be (96 x 0.5) = 48 quarts.
Therefore, in 96 pints, there are equivalent 48 quarts.
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What postulate is this SSS, ASA, AAS, or SAS? Will give brainliest to the correct answer, no trolls!!!
Answer:
SSS (side, side, side) SSS stands for "side, side, side" and means that we have two triangles with all three sides equal. ...
SAS (side, angle, side) ...
ASA (angle, side, angle) ...
AAS (angle, angle, side) ...
HL (hypotenuse, leg)
Step-by-step explanation:
Javier recibe $8.10 USD por cada pagina que traduce del español a l ingles. El mes pasado recibió un pago total de $550.8 USD. ¿Cuántas ´paginas tradujo en el mes?
A number y multiplied by —3 is less than
ore
Write this word sentence as an inequality.
An inequality is
Answer:
-3y < -2/5
Step-by-step explanation:
Multiplied means times
-3y
is less than means <
-3y < -2/5
What is the inequality shown?
Answer:
-4<_ 3
Step-by-step explanation:
Michael read 135 pages in 1 1/2hours. Select all of the rates that are equivalent to this rate.
Answer:
A
Step-by-step explanation:
The ratio of the number of boys to the number of girls in a class is 5 to 7. How many boys are there if there are 21 girls?
The function y= 19,800/x is a rational function. Use this function to answer each question. What are the asymptotes of the function? Check all the apply. • x=0 • x= 19,800 • y= 0 • y= 19,800
Answer:
Step-by-step explanation:
Given the function y = 19800/x
Vertical asymptote occurs at when f(x) = 0 where;
f(x) is the denominator of the given function.
From the expression given: f(x) = x
Since f(x) => 0, hence x = 0
To get the horizontal asymptote, we will look at the degree of the numerator and denominator. If the degree of numerator is less than the denominator, the horizontal asymptote will be zero. From the function, we can see that the degree of the numerator is zero (being a constant) and that of the denominator is 1.
Since 0<1, hence the horizontal asymptote is 0
x = 0, y = 0
Answer:
x = 0
y = 0
second question is b
third question is b
and forth is c
Step-by-step explanation:
What is the slope of a line parallel to the line whose equation is 2x + y = 6. Fully
reduce your answer.
6 divided by 2/3 = tell me thee answer in fraction form
Answer:
There wouldn't be a fraction form because its a whole number which is 9
Samantha puts an initial $500 into a savings account. The account has a 4% annual compound interest rate. What is the function that best represents Samantha's account and how much does she have in savings after 5 years?
Answer:
$608.32Step-by-step explanation:
Step one:
given data
principal P= $500
rate r= 4%= 0.04
time t= 5years
Step two:
The function that best represents Samantha's account
A=P(1+r)^t
substituting and solving for A, which is the final amount
A=500(1+0.04)^5
A=500(1.04)^5
A=500*1.2166
A=608.32
Thus, she has in savings after 5 years $608.32
Gina is using a grid to plan where to dig her garden. She has drawn this figure.
10
9
8
7
3
2
1
0 1 2
8 9 10
Gina decides to reflect her drawing so that Point G is at (1, 1). Which of the
following points will be a corner of her garden?
r
A (6,6)
B. (5, 1)
C. (0,0)
D. (5,7)
A player located 18.6 ft from the basket launches a successful jump shot from a height of 10 ft (level with the rim of the basket), at an angle θ = 36º and an initial velocity of v = 25 ft/s. Find the change of distance Δs of the toss if the angle changes by an amount Δθ. Hint: Use the following fact derived from Newton's Laws: An object released at an angle θ with initial velocity v ft/s travels a total distance [tex]s=\frac{1}{32} v^{2} sin(2\theta)[/tex]
Answer:
Step-by-step explanation:
You suck free points
The change of the distance travelled by the ball when the angle of launch
changes can be found by linear approximation.
The change in the distance, Δs, when the angle changes by Δθ in radians is approximately 0.211·Δθ.Reasons:
The distance of the player from the basket = 18.6 ft.
Height from which the jump shot is launched = 10 ft.
Angle of the jump shot = 36°
The initial velocity = 25 ft./s
According to Newton's Law of motion, the distance an object travels when
released at an angle θ, with an initial velocity, v, is given by the following
horizontal range formula equation;
[tex]s = \dfrac{1}{32} \cdot v^2 \cdot sin(2 \cdot \theta)[/tex]
[tex]\dfrac{ds}{d\theta} =\dfrac{d}{d\theta } \left( \dfrac{1}{32} \cdot v^2 \cdot sin(2 \cdot \theta) \right)= \dfrac{v^2 \cdot cos(2 \cdot \theta)}{16}[/tex]
By linear approximation, we have;
[tex]\Delta s = \dfrac{ds}{d\theta} \times \Delta \theta[/tex]
Which gives;
[tex]\Delta s =\dfrac{25^2 \cdot cos(2 \times 36^{\circ})}{16}\times \Delta \theta \approx 12.07 \times \Delta \theta[/tex]
360° = 2·π radians
[tex]12.07 ^{\circ} = \dfrac{2 \cdot \pi}{360} \times 12.07 \approx 0.211 \ radians[/tex]
Δs ≈ 0.211·Δθ
Therefore;
The change in the distance, Δs, when the angle changes by Δθ is 0.211·Δθ.
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The population of a town was 5000 in 2010. The population grows at a rate of 1.4% annually.
(a) Use the exponential growth model to write an equation that estimates the population t years after 2010.
(b) Estimate the population of the town in 2022. Show your work.
Answer:
a) P = 5000(1.014)^y
b) 5,908
Step-by-step explanation:
Here, we want to write an exponential growth model;
a)The model will be represented as;
P = 5000( 1.014)^y
where P is the population at a particular year after 2010
y is the number of years after 2010
b.) For 2022;
y = 2022-2010 = 12
P = 5000(1.014)^12
P = 5,908 approximately
Please help me ! I will mark brainlist
Answer:
900
Step-by-step explanation:
I used the box method
Answer:
ha
Step-by-step explanation:
PLZ ANSWER!! ONLY ANSWER IF YOU ARE CORRECT!!
At the bottom of a mountain, a ski lift starts four feet above the ground. At the top of the mountain, the lift is 1356 feet higher. If the lift ascends 1 foot for every 4 feet it travels west, how far west of the starting position is the lift at the top of the mountain?
PLEASE HELP ASAP ill be very thankful
Answer:
5,424 ft.
Step-by-step explanation:
For every 1 foot the ski lift goes up by, it travels west 4 feet. So, because we know that the lift will be 1,356 feet higher at the top of the mountain, all we have to do is multiple 1,356 by 4.
1,356 * 4 = 5,424 ft.
I hope this helps. :)
an electrician charges a set fee of $150 for every house call and then charges an additional $70 per hour. write an equation for c, in terms of t, representing the total cost of the electricians services if the electrician spends t hours at the house working.
Answer:
y = 70x + 150
Step-by-step explanation:
y-intercept: 150
slope: 70x
Let x represent the amount of hours the electrician spent in the house.
Answer:
C=150+70t
Step-by-step explanation:
In this equation, C stands for the total cost, and t stands for the number of hours worked. Since 150 is a set fee it must be a constant in the equation and to must be added to the hourly cost. 70 must be multiplied by t because the electrician charges 70 dollars for every hour he works. Then, both the set fee plus the hourly fee together equal the total cost.
for a school field trip there must be 20 students to 2 adults, 30 students to 3 adults, and 60 students to 6 adults. identify the student to adult ratio.
Answer:
7
Step-by-step explanation:
...
Help me plz AM SO STUPID AT MATH!!!!U WILL GET BRAINLIEST !
Answer:
91.98 (I was wrong the first time.)
Step-by-step explanation:
I looked up how to find the volume(Picture 1)
Length of cube: 7.3m
Height of cube: 6m
Width of cube: 2.1m
(Picture 2)
When you add them all up you get 91.98
Answer:
54.39
Step-by-step explanation:
33.6 + 20.79
54.39
Find the measure of m<CED
Answer:
I think it might be 4072 I forget how to do this kind of math sorry.
Step-by-step explanation:
I please need help finding the value of x.
Answer:
x = 7
Step-by-step explanation:
If DF = FE , then m∠D = m∠E ⇒ 5x = 3x + 14
2x = 14 ⇒ x = 7
please helpp mecwith this question
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[tex] \frac{1}{R} = \frac{1}{8} + \frac{1}{12} \\ [/tex]
[tex] \frac{1}{R} = \frac{1 \times 3}{8 \times 3} + \frac{1 \times 2}{12 \times 2} \\ [/tex]
[tex] \frac{1}{R} = \frac{3}{24} + \frac{2}{24} \\ [/tex]
[tex] \frac{1}{R} = \frac{3 + 2}{24} \\ [/tex]
[tex] \frac{1}{R} = \frac{5}{24} \\ [/tex]
Inverse both sides
[tex] \frac{R}{1} = \frac{24}{5} \\ [/tex]
[tex]R = \frac{24 \times 2}{5 \times 2} \\ [/tex]
[tex]R = \frac{48}{10} \\ [/tex]
[tex]R = 4.8 \: \: Ω[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
The correct answer is (( B )) .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️