Answer:
The other rational number is [tex]\dfrac{14}{27}[/tex].
Step-by-step explanation:
First rational number is [tex]\dfrac{-2}{3}[/tex]
Let other rational number is [tex]\dfrac{x}{y}[/tex]
The product of two rational numbers is [tex]\dfrac{-28}{81}[/tex]
According to question,
[tex]\dfrac{x}{y}\times \dfrac{-2}{3}=\dfrac{-28}{81}[/tex]
Multiplying both sides by (-3/2) such that,
[tex]\dfrac{x}{y}\times \dfrac{-2}{3}\times \dfrac{-3}{2}=\dfrac{-28}{81}\times \dfrac{-3}{2}\\\\\dfrac{x}{y}=\dfrac{14}{27}[/tex]
So, the other rational number is [tex]\dfrac{14}{27}[/tex].
Answer:
The other rational number is . 14
Step-by-step explanation:
Which book should they choose for the district?
Answer:
A
Step-by-step explanation:
While the obvious answer might be Book B because that had the most amount of teachers that approved it, I looked at it a different way. I think that the best book has the greatest percentage of teachers approved compared to the total teachers who reviewed the book. Let's apply this to the 4 books.
A: Approved = 8 Total = 9 8/9 = 88%
B: Approved = 24 Total = 29 24/29 = 83%
C: Approved = 12 Total = 16 12/16 = 75%
D: Approved = 20 Total = 26 20/26 = 77%
As you can see, Book A should be chosen because it has the highest percentage. I hope this helps and makes sense!
Plzz help me with thsi quistion
Answer:
98 ft
Step-by-step explanation:
14x7
=98 ft
Answer:
98 ft
Step-by-step explanation:
Which of the following values is the solution to the equation
-16 + x = -30 ?
1.)-2
2.)-14
3.)-480
4.)-46
Answer:
Step-by-step explanation:
x - 16 = -30
x = -14
Answer:
3.
Step-by-step explanation:-16 + x = -30
If one discount point costs the borrower 1% of the loan amount and increases the lender's yeild by ⅛ of 1 percent how many discount points must be purchased to lower the interest rate by 1 percent
Answer:
He has to buy 8 of course
Step-by-step explanation:
ERRE
Which point-slope equation represents a line that passes through (3, -2) with a slope of ?
y-3=-(x + 2)
y-2 = (x-3)
y+2=-(x - 3)
y+3 = (x + 2)
Answer:
the answer is y+2=(x-3). It wasn't clear what the slope was supposed to be but if it is -1 then the third option is correct. Hope this helps :)
Answer:
aaku is right its the 3rd option why are you people rating his answer 2 stars it caused me to get the answer wrong
Step-by-step explanation:
What does 3 to the zero power equal?
Answer:
1
Step-by-step explanation:
any number to the power 0 is equal to 1
Answer: 1
Step-by-step explanation:
n^0 = 1
any number raise to zero is one
A die is rolled. What is the probability that the result is less than 3?
Answer:
1/6 if the die is 6 sided
Step-by-step explanation:
it wold have a 1/6 chance to land on 3 if the die is 6 sided
Use the work shown below to find the simplified product. StartFraction 25 x squared Over 2 x + 6 EndFraction times StartFraction 2 Over 5 x EndFraction StartFraction 25 x squared Over 2 (x + 3) EndFraction times StartFraction 2 Over 5 x EndFraction Choose the simplified product.
Answer:
c
Step-by-step explanation:
:)
Answer:
C.
Step-by-step explanation:
5x/x+ 3
simplify 15x-3(2x+4)
Answer:
9x−12
Step-by-step explanation:
Answer:
[tex] = 9x - 12[/tex]
Step-by-step explanation:
[tex]15x - 3(2x + 4) \\ 15x - 6x - 12 \\ = 9x - 12[/tex]
a fair coin is tossed five times. Calculate the probability of obtaining
at least one head.
Answer:
Step-by-step explanation:
dont know sorry
Answer:
1/5
Step-by-step explanation:
There are 5 heads so the provability of having one head is 1/5
Stephanie is comparing web sites for downloading music. One charges a $5 membership fee plus $0.50 per song. Another charges $1.00 per song but no membership fee. Write and solve an equation to find how many songs Stephanie would have to buy to spend the same amount on both web sites. Which of the following shows the correct number of songs?
Answer: She would need to listen to 6 songs. 5+0.50*2=1*6
Step-by-step explanation: The first website has a $5 mebership fee plus 0.50 cents per song which means 5 + 0.50 *2 equals $6. The other website is $1 per song no membership fee.
Malcolm and Ravi raced each other.
The average of their maximum speeds was km/h260 if doubled Malcolm's maximum speed would be km/h80 more than Ravi's maximum speed.
What were Malcolm's and Ravi's maximum speeds?
Answer:
ravi's is 440 and malcolm's is 520 i think
Step-by-step explanation:
Which equation can be used to find the surface area of the cylinder?
d = 6 cm
h = 14 cm
S= 2(14)2 + 25(14)(6)
S=2(3)2 + 2(3)(14)
S=28(6)2 + 25(6)(14)
S=2643)2 +27(3)(14)
Answer:
S = π( 2(9) + 2(3)(14))
Step-by-step explanation:
Here we are to select which of the options best describe the equation that could be used to find the surface area of the cylinder.
Mathematically,
the surface area of a cylinder can be calculated using the formula
S = 2 π r^2 + 2 π rh
from the question, we have r as d/2 = 6/2 = 3cm and h = 14cm
We plug these two values into the equation above
Thus, we have
S = 2 * π * 3^2 + 2 * π * 3 * 14
S = π( 2(9) + 2(3)(14))
Let m = 6x + 5.
Which equation is equivalent to (6x + 5)2 – 10 = -18x – 15 in terms of m?
Answer:
m² + 3m - 10 = 0
Step-by-step explanation:
Given
(6x + 5)² - 10 = - 18x - 15 ← factor out - 3 from each term
(6x + 5)² - 10 = - 3(6x + 5)
Now let m = 6x + 5 in the equation, that is
m² - 10 = - 3m ( add 3m to both sides )
m² + 3m - 10 = 0
Answer:
m = 2
Step-by-step explanation:
(6x + 5)2 – 10 = -18x – 15
12x + 10 - 10 = -18x - 15
12x + 18x = -15
30x = -15
x = -15/30
x = -1/2
m = 6x + 5
m = 6(-1/2) + 5
m = -3 + 5
m = 2
If you are making a complementary angle and one angle is 70 degrees. What must the other angle measure?
Answer:
20 degrees
Step-by-step explanation:
complementary angles sum up to 90 degrees
Answer:
[tex]20 \: \: degrees[/tex]
Step-by-step explanation:
complementary angles mean either of two angles whose sum is 90°.
[tex]x + 70 = 90 \\ x = 90 - 70 \\ x = 20 \: \: degrees[/tex]
Please help
Algebra 1
Look at the photo below...
horizontal line: x=9
vertical line: y=3
You can plug it into the application demos to see it visually just put y=3 on one line and x=9 on the other
write a function in the form y=mx+b for the line that contains the points (-8.3, -5.2) and (6.4,9.5)
Answer:
y = x + 3.1
Step-by-step explanation:
As we move from (-8.3, -5.2) to (6.4,9.5), the horizontal change ("run") is 14.7 and the vertical change is 14.7. Thus, the slope is m = rise / run = 14.7 / 14.7 = 1.
Write out y = mx + b. Because m = 1, we have
9.5 = 1(6.4) + b, or 9.5 = 6.4 + b, with the result that b = 3.1
and so the desired equation is y = x + 3.1
Find the size of each interior angle of a regular polygon of 15 sides.
Answer :
156°
Explanation :
Each triangle has an angle sum of 180 degrees.
The sum of the interior angles of the 15 sided polygon =
(n-2)180°
(n-2)180°
(15-2) × 180°
13 × 180 = 2340 °
Since the 15 sided polygon is regular, this total is shared equally among the 15 interior angles. Each interior angle must have a measure of
2340° ÷ 15 = 156 °each
Katie wants to collect over 100100100 seashells. She already has 343434 seashells in her collection. Each day, she finds 121212 more seashells on the beach. Katie can use fractions of days to find seashells.
Write an inequality to determine the number of days, ddd, it will take Katie to collect over 100100100 seashells.
Graph the solution set to this inequality.
Answer:
34+12d>100
Step-by-step explanation:
there u go
please help !!
use this set of points to help answer 11a and 11b:
(0,9) (2,8) (4,7) (6,6) (8,5)
11a. Write a point that could be added so that the set of points represents a function.
11b. Write a point that could be added so that the set of points does not represent a function.
Answer:
11a. (1, 1)
11b. (2, 2)
Step-by-step explanation:
A function cannot have an x-value that produces multiple different y-values. A function can have a y-value that produces multiple different x-values.
For this question, you could put in a number of different points and still get the right answer. If you work through this problem yourself again and pick different points from mine, it doesn't mean that it is wrong. As long as it follows the rules stated above, you will get the correct answer.
11a. (1, 1)
This is an x-value that was not stated in the data set. This means that, as far as we know, there is only one y-value for the x-value of 1.
11b. (2, 2)
This is an x-value that was stated in the data set. This means that for the x-value of 2, there are two y-values: 2 and 8.
whats the radius for the circle? x^2+2x+y^2+4y-6=0
Answer:
r = [tex]\sqrt{11}[/tex]
Step-by-step explanation:
So we need to complete the square for both parts of the equation
First though we can add the 6 to the other side so we have x² + 2x + y² + 4y = 6
So first we can complete the square for x² + 2x
To do so we need to use [tex](\frac{b}{2} )^{2}[/tex] to figure out the number we need to add to both sides
In this case our b is 2, so substituting this in we get [tex](\frac{2}{2} )^{2} =(1)^{2} =1[/tex]
Here we add 1 to both sides and now we have x² + 2x + 1 + y² + 4y = 6 + 1
Now we can follow the same steps to complete the square for y² + 4y
Here our b is 4, so substituting this in we get [tex](\frac{4}{2} )^{2}=(2)^{2} =4[/tex]
Now we add 4 to both sides and now we have x² + 2x + 1 + y² + 4y + 4 = 6 + 1 + 4
Now condensing everything we have (x + 1)² + (y + 2)² = 11
The formula for a circle is (x - h)² + (y - k)² = r²
In our equation we have r² = 11
To find the radius we need to take the square root of both sides [tex]\sqrt{r^{2}} =\sqrt{11}[/tex] to get r = [tex]\sqrt{11}[/tex]
Geoff thinks of a number. He deducts five from it and the divides the result by three. His answer is 25. what number did he start with?
Answer:
80
Step-by-step explanation:
Geoff's number is 80. We can figure this out by reversing the steps.
Instead of dividing, we can multiply 3 by 25 to get the number in which 5 was subtracted to get that number.
3 x 25 = 75
75 + 5 = 80
Therefore, Geoff's number is 80.
Answer:80
Step-by-step explanation:
SHOW WORK FOR BRAINLEST!
Are the two figures similar? If so, give the scale factor of the first figure to the second figure.
Answer:
Step-by-step explanation:
The scale factor is 2/3
2/3=2*2/2*3=4/6
2/3=2*3/3*3=6/9
The two figures are similar and the scale factor of the first figure to the second figure is [tex]\frac{2}{3}[/tex]
What is Scale factor?The scale factor is a measure for similar figures, who look the same but have different scales or measures.
From the given figure take the same sides of both figure
Width = [tex]\frac{6}{9}=\frac{2}{3}[/tex]
Length = [tex]\frac{4}{6}=\frac{2}{3}[/tex]
Height = [tex]\frac{2}{3}[/tex]
Therefore the scale factor is [tex]\frac{2}{3}[/tex]
Hence, the two figures are similar and the scale factor of the first figure to the second figure is [tex]\frac{2}{3}[/tex]
Learn more about Scale factor here
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What is the distance between ( 8 , − 3 ) (8,−3)left parenthesis, 8, comma, minus, 3, right parenthesis and ( 4 , − 7 ) (4,−7)left parenthesis, 4, comma, minus, 7, right parenthesis?
Given Information:
Point 1 = (8, −3)
Point 2 = (4, −7)
Required Information:
Distance between points = d = ?
Answer:
Distance between points = d = √32 = 5.657
Step-by-step explanation:
We are given two points,
(x₁, y₁) = (8, −3)
(x₂, y₂) = (4, −7)
We are asked to find the distance between these two points.
The distance is given by
[tex]d = \sqrt{(x_2 - x_1)^2 +(y_2 - y_1)^2 }[/tex]
Substitute the given coordinates into above equation
[tex]d = \sqrt{(x_2 - x_1)^2 +(y_2 - y_1)^2 } \\\\d = \sqrt{(4 - 8)^2 +(-7 - (-3))^2 } \\\\d = \sqrt{(-4)^2 +(-7 +3)^2 } \\\\d = \sqrt{(-4)^2 +(-4)^2 } \\\\d = \sqrt{16 +16 } \\\\d = \sqrt{32} \\\\d = 5.657[/tex]
Therefore, the distance between (8, −3) and (4, −7) is 5.657 units.
Answer:
32 square
Step-by-step explanation:
Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .
Formula for the area of a quarter circle: A = (pi x r^2) / 4
A = (pi x 1^2) / 4
A = 1pi / 4
A = 0.79 square centimeters
Hope this helps! :)
Answer these maybe? I’m confused
Step-by-step explanation:
c) j = 95 degree (similar triangle)
d) jk/4 = 4.6/9.2
jk/4 = 1/2
jk = ?
Answer:
angle k = 30.4
Step-by-step explanation:
Large triangle :
95 + 15 = 110
180 - 110 = 70 degrees
Now, the second triangle is 2.3 times larger than the first one.
(9.2 divide 4 = 2.3)
so, 70 degrees divided by 2.3 = 30.4
Jose is x years old. His brother, Felipe, is 2 years older than Jose. Their aunt, Maria, is three times as old as Felipe. Write and simplify an algebraic expression to show Maria’s age in years. (Hint: your answer will not be a number...it will be an algebraic expression)
Answer:
3(x + 2) = 3(x) + 3(2)
= 3x + 6
Step-by-step explanation:
Which expression is equivalent to 8 x minus 12 y + 32?
A.16 (0.5 x minus 4 y + 32)
B.16 (0.5 x minus 0.75 y + 32)
C.16 (0.5 x minus 0.75 y + 2)
D.16 (0.5 x + 4 y + 2)
Answer:
Because is said
Step-by-step explanation:
C
I need to pass this please any help is appreciated
Answer:
GF = GE so GE = 7x-3
Answer:
GE = 38
Step-by-step explanation:
6x + 2 = 7x - 3
6x + 5 = 7x
5 = x
Put the variable into the equation of GF, since GF and GE make a square therefore are equal.
7(5) - 3
GE = 38
Remove all perfect squares from inside the square root√450
I need an answer ASAP please.
Answer:
[tex]\sqrt{450}= 21.21[/tex]
Step-by-step explanation:
[tex]\sqrt{450}=\sqrt{225*2}=15\sqrt{2}=21.21[/tex]
The required expression is 15√2.
In mathematics to operate and interpret the function to make function simple or more understandable is called simplification.
Simplification
= √450
=√3*3*5*5*2
=3*5√2
=15√2
Thus, the required expression is 15√2.
Study more about simplification here:
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