Fraction with numerator as prime number and denominator as a square number between 0.5 and 0.9 is equals to 7/9.
What is fraction?"Fraction is defined as the part of whole number divided into equal parts."
According to the question,
'x / y' represents the required fraction
'x' represents numerator of the given fraction
'y' represents denominator of the given fraction
Condition given,
0.5 < ( x / y) < 0.9
Denominator is squared number
Numerator is a prime number
(5 / 10) < ( 6 / 10) <( 7 / 10) < (7 / 9)< ( 9 / 10)
Hence, required fraction as per condition is ( 7 / 9).
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How many 60 degree angles does it take to make a full turn??
Answer:
6
Step-by-step explanation:
60x 6 =360
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The longest straight line that can be drawn to connect two point on the circumference of a circle whose radius is 9 inches is
Answer:
18 inches.
Step-by-step explanation:
We can connect two points of a circle in many ways, as you can see in the picture below.
The longest straight line that you can draw to connect two points is the diameter, that is, the straight line that passes through the center of the circle.
If the circle has 9 inches of radius the diameter will be 9+9 = 18 inches.
2
4-(28 divided 7)+111
In a box-and-whisker plot, the interquartile range is a measure of the spread of the middle half of the data. Find the interquartile range for the data set: 10, 3, 7, 6, 9, 12, 13
Walter had 2/4 yard of string. He used 3/6 of it on a school project. How much string did he use?
2/4 reduces to 1/2
3/6 reduces to 1/2
so he used 1/2 of 1/2 yard
1/2 * 1/2 = 1/4
he used 1/4 yard
What are the discontinuities of the function f(x) = the quantity of x squared plus 5 x plus 6, all over 2 x plus 16. ?
Answer:
Step-by-step explanation:
Since f(x) = (x^2 + 5x + 6) / (2x + 16)
For discontinuities, they can be found at where the slope does NOT exist
Take the derivative of f(x):
f'(x) = (x^2 + 16x + 34) / 2(x+8)^2
Apparently, when x= -8, f'(x) is NOT defined
Therefore, the discontinuity is uniquely located at x = -8
Use <,>,or = to compare 0.36 and 0.4.
Which expression is equivalent to 6(14)? 6(10 + 4) 6(10 + 14) 6(1 + 40) 6(10 + 40)
A restaurant catered a party for 40 people. A child’s dinner (c) cost $11 and an adult’s dinner (a) cost $20. The total cost of the dinner was $728. How many children and adults were at the party? Use the table to guess and check.
8 children and 32 adults
9 children and 31 adults
10 children and 30 adults
12 children and 28 adults
a+c=40
c=40-a
11c +20a=728
11(40-a)+20a=728
440-11a +20a=728
440+9a=728
9a = 288
a=288/9 = 32
32 adults
8 children
The average annual salary of the employees of a company in the year 2005 was $80,000. It increased by the same factor each year and in 2006, the average annual salary was $88,000. Let f(x) represent the average annual salary, in thousand dollars, after x years since 2005. Which of the following best represents the relationship between x and f(x)?
f(x) = 88(0.88)x
f(x) = 88(1.1)x
f(x) = 80(0.88)x
f(x) = 80(1.1)x
Answer: [tex]f(x) = 80 ( 1.1 ) ^x[/tex]
Step-by-step explanation:
Let the function that shows the average annual salary after x years since 2005 is,
[tex]f(x) = ab^x[/tex] ----- (1)
Where a and b are any unknown numbers.
For x = 0,
[tex]f(0) = ab^0= a[/tex]
But According to the question,
The average annual salary of the employees of a company in the year 2005 was $80,000.
Therefore, f(0)=80000 dollars.
⇒ a = 80000
From equation (1),
[tex]f(x) = 80000 b^x[/tex] ------- (2)
Now again according to the question,
In 2006, the average annual salary was $88,000
But the average annual salary in 2006 is [tex]f(1) = 80000 b^1[/tex]
⇒ [tex] 80000 b^1=88000[/tex]
⇒ b = 1.1
Putting the value of b in equation (2),
The average annual salary after x years since 2005 is,
[tex]f(x) = 80000 (1.1)^x[/tex] dollars
Or [tex]f(x) = 80 (1.1)^x[/tex] thousand dollars
Thus, Fourth Option is correct.
The averge temperature in Fairbanks, Alaska, in november is 2°F above zero. Write thiis temperture as an integer
Answer: Answer is 2
Step-by-step explanation:
A jacket costs $35 and has an 8 percent tax rate. Which expression will find the cost of the tax on the jacket
which statement is always true about an isosceles triangle A.it has 1 right angle B.it has 2 congruent angles C.it has no sides that are congruent D.the sum of all 3 angles in 360 degrees
It has 2 congruent angles, is always true about an isosceles triangle
What is Isosceles Triangle?
A triangle with two equal sides is said to be isosceles. Also equal are the two angles that face the two equal sides. In other terms, an isosceles triangle is a triangle with two sides that are the same length.
Angles of Isosceles Triangle:Contrary to the equal sides, two of the isosceles triangle's three angles have equal measures. One of the angles is therefore not equal. Assume that if we are given the measure of an unequal angle, we can quickly determine the other two angles using the angle sum property.
Properties of Isosceles Triangle:Since this triangle's two sides are equal, the base of the triangle is the side that is not equal.
The triangle's two equal sides' opposing angles are always equal.
The vertex (topmost point) of an isosceles triangle is where the altitude of the triangle is calculated.
The third angle of a right isosceles triangle is 90 degrees.
Hence, the answer (b) it has 2 congruent angles
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A decorator adds vases to a mantle to decorate. She wants to use 2 matching green vases, 3 matching blue vases, and 4 matching white vases. Find the total number of arrangements of vases that can be made.
288
140
1,260
362,880
Answer:
1,260
Step-by-step explanation:
Because it seemed right and I'm pretty sure it is
What is the slope of a line that is perpendicular to the line whose equation is 7x−3y=107x−3y=10?
Mr. Rifkin had 240 digital and manual cameras. After donating 82 digital cameras and 26 manual cameras, he had 3 times as many digital cameras as manual cameras left. How many digital cameras did he have first?
Mr. Rif-kin initially had 181 digital cameras.
Let's denote:
- [tex]\( x \)[/tex] as the initial number of digital cameras.
- [tex]\( y \)[/tex] as the initial number of manual cameras.
According to the given information:
1. Mr. Rif-kin had a total of 240 digital and manual cameras initially:
[tex]\[ x + y = 240 \][/tex]
2. After donating 82 digital cameras and 26 manual cameras, he had 3 times as many digital cameras as manual cameras left:
[tex]\[ (x - 82) = 3(y - 26) \][/tex]
We can set up a system of equations with these two equations and solve for [tex]\( x \)[/tex] and [tex]\( y \)[/tex].
1. From Equation 1:
[tex]\[ y = 240 - x \][/tex]
2. Substituting [tex]\( y \)[/tex] from Equation 1 into Equation 2:
[tex]$\begin{aligned} & x-82=3((240-x)-26) \\ & x-82=3(214-x) \\ & x-82=642-3 x \\ & 4 x=724 \\ & x=181\end{aligned}$[/tex]
Now that we have found [tex]\( x \)[/tex], we can find [tex]\( y \)[/tex] using Equation 1:
[tex]$\begin{aligned} & y=240-x \\ & y=240-181 \\ & y=59\end{aligned}$[/tex]
So, Mr. Rif-kin initially had [tex]\( 181 \)[/tex] digital cameras and [tex]\( 59 \)[/tex] manual cameras.
The complete question is here:
Mr. Rif-kin had 240 digital and manual cameras. After donating 82 digital cameras and 26 manual cameras, he had 3 times as many digital cameras as manual cameras left. How many digital cameras did he have at first?
A cylindrical well is 25 meters deep and has a diameter of 1.8 meters. Approximately how many cubic meters of soil were dug out to make the well?
(Use π = 3.14.)
10.17 cubic meters
21.19 cubic meters
63.59 cubic meters
70.65 cubic meters
Answer:
The answer is C. 63.59 cubic meters
Hope This Helps!
You have a 5" by 7" photo that you would like to have enlarged to fit an 8" by 10" frame. Would the two photographs be similar? Explain
The net of square pyramid is shown below. What is the surface area of the pyramid ?
Please help me!! find the solution of this system of equations -x + 5y=-18 5x - 9y= 10
The two jar are geometrically similar.The height are 25cm and 10cm.The diameter of the larger jar is 7.5cm.Find the diameter of the smaller jar.
25/10 = 7.5/x
75/25x
x=75/25 = 3
diameter of smaller jar = 3 cm
At Wayne College, 3/4 of the students are enrolled in an art class. Of the students enrolled in an art class, 1/4 are enrolled in a painting class. What fraction of the students at Wayne College are enrolled in a painting class?
(05.01)A company makes triangular plates for individual slices of pizza. For each plate, the base is 9 inches and the height is 14 inches. The area of the top of the plate is ____ inches squared.
Answer:
63
Step-by-step explanation:
How many toothpicks are used to create Figure 10? Describe how you found the answer.
Why do some merchants, particularly smaller businesses, set a minimum purchase of $10 for any credit card transaction, or simply refuse to take any sort of bank card from consumers?
Answer:
Just look at the one above me
Step-by-step explanation:
Antoine and Tess have a disagreement over how to compute a 15% gratuity on $46.00. Tess says, “It is easy to find 10% of 46 by moving the decimal point one place to the left to get $4.60. Do that twice. Then add the two amounts to get $4.60 + $4.60 = $9.20 for the 15% gratuity.”
Tess is correct about figuring 10% but he added 2 of them together which is like adding 10% +10% which is 20% not 15%.
he should have taken 1/2 of the 4.60 for 5% since 5 is half of 10
half of 4.60 = 2.30
then add that to the 4.60
4.60 +2.30 = 6.90 is 15%
Answer:Tess 20%
Step-by-step explanation:
What is the slope of a line that is perpendicular to the line whose equation is 8y−5x=118y−5x=11?
Answer:
The slope of a line that is perpendicular to the line whose equation is [tex]8y-5x=11[/tex] is [tex]m=-\frac{8}{5}[/tex]
Step-by-step explanation:
Given : Equation [tex]8y-5x=11[/tex]
To find : What is the slope of a line that is perpendicular to the line whose equation is given?
Solution :
First we find the slope of the given line,
The general slope form of line is [tex]y=mx+b[/tex] where m is the slope of the line and b is the y-intercept.
Re-write the given equation into general form,
[tex]8y-5x=11[/tex]
Take 5x to another side,
[tex]8y=5x+11[/tex]
Divide both side by 8,
[tex]y=\frac{5}{8}x+\frac{11}{8}[/tex]
On comparing with general form,
The slope of the line is [tex]m=\frac{5}{8}[/tex]
We know,
When two line are perpendicular one slope is negative reciprocal of another.
If the slope of line is [tex]m=\frac{5}{8}[/tex]
Then the slope of perpendicular line on this line is [tex]m=-\frac{8}{5}[/tex]
Therefore, The slope of a line that is perpendicular to the line whose equation is [tex]8y-5x=11[/tex] is [tex]m=-\frac{8}{5}[/tex]
John read the first 114 pages of a novel, which was 3 pages less than 1/3 of the novel. Write an equation to determine the total number of pages (p) in the novel. And find the total number of pages in the novel
Answer:
351
Step-by-step explanation:
If we add 3 pages to 114, we get a number that is [tex]\frac{1}{3}[/tex] the total number of pages in the novel (p). Thus, we can write:
[tex]114+3=\frac{1}{3}p[/tex]
Solving for p gives us the total number of pages in the novel. So:
[tex]114+3=\frac{1}{3}p\\117=\frac{1}{3}p\\p=\frac{117}{\frac{1}{3}}\\p=117*3=351[/tex]
Thus, total number of pages in the novel is 351.
Question 4(Multiple Choice Worth 5 points)
(05.03 MC)A graph is shown below:
A graph is shown. The values on the x axis are 0, 3, 6, 9, 12, and 15. The values on the y axis are 0, 9, 18, 27, 36, and 45. Points are shown on ordered pairs 0, 36 and 3, 27 and 6, 18 and 9, 9 and 12, 0. These points are connected by a line
What is the equation of the line in slope-intercept form?
y = 36x − 3
y = −3x + 36
y = −3x + 12
y = −12x + 3
Answer:
y = -3x + 36
Step-by-step explanation:
first let's start with a formula.
y = mx + b
m equals the slope and b equals the y intercept.
slope can also be indetified as a rate of change.
so, looking at the graph we can see that the y intercept is (0, 36) or 36 and the rate of change is 3 subtracted.
sorry if this is wrong im not too sure myself. and sorry this is 5 years late, but alas it's too late to turn back now since i have already wrote all this.
The Moon is about 240,000 miles from the Earth what is the distance written as a whole number multiplied by a power of 10