factory A has printed 700 books and Prints 50 new books every week. Factory has printed 300 books and prints 100 books every week. How many weeks will it be before a factory B has printed as many books as Factory A?
Rewrite the following equation in slope-intercept form. 3x − 18y = 20 Write your answer using integers, proper fractions, and improper fractions in simplest form.
****UGRENT****A popular board game company hired a group of students to build a gigantic float for an upcoming parade. The main attraction of the float will be two large number cubes. The side length of each number cube must be 18 ft.
How much material is need to cover all sides of both number cubes?
Answer:3,888
Step-by-step explanation: hope I helped
Player Points
Travis 6
Marcus 7
James 17
Taylor 2
Hector 1
Julio 22
Jonah 8
Chris 11
Scott 14
The chart shows the number of points different players scored during a game. What is the ratio of Julio's points to Jonah's points?
A) 1 : 2
B) 2 : 1
C) 4 : 11
D) 11 : 4
5 years = ______ months
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP!!!!!!!
WILL GIVE BRAINLIEST AND 15 POINTS!!!
EXPLAIN HOW YOU GOT EVERYTHING, INCLUDING VALUES FOR A, B, C AND D!!!!!!!!!!!!!!!!!!! PLZZZZZZZZZZZZ
Using the two functions listed below, insert numbers in place of the letters a, b, c, and d so that f(x) and g(x) are inverses.
f(x)= x+a
------
b
g(x)=cx−d
Answer:
[tex]a = 2; \ d = 2; \ c=1; \ b=1[/tex]
Step-by-step explanation:
Two functions are inverse where their composition results in a variable only:
[tex]f(g(x))=x[/tex]
So, we have to insert the right numbers in place of letters a, b, c and d, to fulfil this definition. Those value would be: [tex]a = 2; \ d = 2; \ c=1; \ b=1[/tex]
Replacing these values, we have:
[tex]f(x)=x+2[/tex]
[tex]g(x)=1x-2=x-2[/tex]
Applying the composition [tex]f(g(x))[/tex]:
[tex]f(g(x))=\frac{cx-d+a}{b}[/tex]
We observe that with this values, these functions are inverse, because it composition results x.
[tex]f(g(x))=\frac{1x-2+2}{1}=x[/tex]
Therefore, the values are [tex]a = 2; \ d = 2; \ c=1; \ b=1[/tex]
Please help find the area of this just need answer no work is needed
Find the perimeter of a semi-circle with the diameter of 4 feet please.
If the height is 4.41 inches and the volume is 0.734, what will the side length of the pyramid’s base be? Is the number rational or irrational? Why?
The side length of the pyramid's base is approximately 0.7071 inches, and it is an irrational number.
To find the side length of the pyramid's base, we need to use the formula for the volume of a pyramid, which is given by:
[tex]\[ V = \frac{1}{3}Bh \][/tex]
where V is the volume, B is the area of the base, and h is the height of the pyramid.
Given that the volume V is 0.734 cubic inches and the height h is 4.41 inches, we can rearrange the formula to solve for the area of the base B :
[tex]\[ B = \frac{3V}{h} \][/tex]
Substituting the given values:
[tex]\[ B = \frac{3 \times 0.734}{4.41} \] \[ B = \frac{2.202}{4.41} \] \[ B \approx 0.5 \text{ square inches} \][/tex]
Now, assuming the base is a square (since we are looking for the side length), the area of the base B is also equal to the side length squared:
[tex]\[ B = s^2 \][/tex]
where \( s \) is the side length of the base. Therefore:
[tex]\[ s^2 = 0.5 \][/tex]
Taking the square root of both sides:
[tex]\[ s = \sqrt{0.5} \] \[ s \approx 0.7071 \text{ inches} \][/tex]
The side length of the pyramid's base is approximately 0.7071 inches.
To determine if this number is rational or irrational, we consider the definition of rational numbers. A rational number is one that can be expressed as the quotient of two integers. The square root of 0.5 can be rewritten as:
[tex]\[ s = \sqrt{0.5} = \sqrt{\frac{1}{2}} = \frac{\sqrt{1}}{\sqrt{2}} = \frac{1}{\sqrt{2}} \][/tex]
To rationalize the denominator, we multiply the numerator and the denominator by [tex]\( \sqrt{2} \)[/tex]:
[tex]\[ s = \frac{1}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = \frac{\sqrt{2}}{2} \][/tex]
Since [tex]\( \sqrt{2} \)[/tex] is an irrational number, the side length s is also irrational because it cannot be expressed as the quotient of two integers.
Use ratio box to solve problem
Five hundred fifty students attended the assembly. If the ratio of boys to girls in the assembly was 5 to 6, how many girls attended the assembly
Final answer:
To find the number of girls attending an assembly given a boys-to-girls ratio, divide the total students by the total parts of the ratio and then multiply by the girls' part of the ratio. 300 girls attended the assembly.
Explanation:
Ratios provide us with comparative information. In this case, the ratio of boys to girls is 5 to 6. To find the number of girls, we need to divide the total students by the total parts of the ratio (5 + 6) and then multiply by the girls' part of the ratio:
Calculate total parts of the ratio: 5 (boys) + 6 (girls) = 11.
Divide total students by total parts of the ratio: 550 / 11 = 50.
Multiply by the girls' part of the ratio: 50 (students per part) * 6 (girls) = 300 girls attended the assembly.
Bryce has two small buckets each containing numbered tiles. The tiles in bucket A are the odd numbers from 1 to 31, one tile per number. The tiles in bucket B are the even numbers from 2 to 32, one tile per number. Bryce draws one tile from bucket A. On the number line below "Bucket A," select the point that represents the probability of drawing a tile that is a prime number from bucket A. He then draws one tile from bucket B. On the number line below "Bucket B," select the point that represents the probability of drawing a tile that is evenly divisible by 6 from bucket B.
total number of prime numbers in bucket A = 10( 3 5 7 11 13 17 19 23 29 31)
Probability = favorable outcomes/ total outcomes = 10/31
total number of numbers evenly divisible by 6 in bucket B = 5(6 12 18 24 30)
probability = 5/31
Howard planted a tree in his front yard six months, one week, and two days ago. If today is August 13th, what day did Howard plant the tree in his yard?
A. February 4
B. February 13
C. February 20
D. February 22
Answer: February 4
Step-by-step explanation:
I WILL GIVE BRAINLIEST!!!!
A line is shown on the coordinate grid.
Which is the equation of this line?
Question 5 options:
y = -1/3 X + 3
y = -3x - 1
y = 1/3 X - 1
y = 3x + 3
are the expressions 3(y+1) and 3y+3 equivalent for any value of y? explain.
What is 555.555 rounded to the nearest hundredth?
Which shows the decimal 0.14 repeated expressed as a fraction in simplest form?
if a 42.9ft tall flagpole casts a 253.1ft long shadow then how long is the shadow that a 6.2ft tall woman casts?
Which formula can be used to describe the sequence? , −4, −24, −144,...
Answer:
[tex]An= -4(6)^{n-1}[/tex]
Step-by-step explanation:
−4, −24, −144,...
There is no common difference
-24/-4= 6
-144/ -24= 6
common ratio = 6
when there is a common ratio then it is an Geometric sequence
[tex]An= a1(r)^{n-1}[/tex]
a1 is the first term = -4
r is the common ratio = 6
Formula becomes
[tex]An= -4(6)^{n-1}[/tex]
PLEASE HELP ME!!! Will mark brainliest
a) A two-digit number is 18 more than that number reversed. What could that number be? List all possibilities.
b) The sum of digits in a two-digit number is 14. If you double the reversed number and add the result to the original number, the sum would be 222. Find the original number.
c) The sum of the digits of an odd 2-digit number is 17. What is the number?
Hey! I am stuck on this, it's for class. I've been struggling with this for quite some time. So, if you have the chance. Click the picture and tell me if it's true or false using that table thingy. Now, you don't need do explain if you don't want to. But, I just need the answer, and yeah. Just tell me if it's true or false. Thanks!! :-)
A swimming pool is Mark down to 695 from 1225,what is the percent markdown?
what value of x satisfies 3x + 2 = 14?
there are 33 seventh graders and 27 eighth graders in band, and 9 members of the band play trumpet. What decimal describes the portion of band members that play trumpet?
The sum of three consecutive numbers is 57, what is the largest of these numbers
Answer:
18
Step-by-step explanation:
it is good
If a quadrilateral has sides that measure 4 in. and angles that all measure 90°, we can consider the quadrilateral to be a/an
Can someone please help
Carrie is buying bulk candy for a high school fundraiser. She buys 1000 candy bars for $350. What is the unit cost per candy bar?
A) $.30
B) $.35
C) $.45
D) $1.35
Someone plz help me with These questions :u have to solve for x and show work
4/9x+1/5x=87
-3.8x-5.9x=223.1
x+0.15x=3.45
-3/5x-7/10x+1/2x=-56
Which graph shows a proportional relationship?
A graph that shows a proportional relationship include the following; A. graph A.
What is a proportional relationship?In Mathematics and Geometry, a proportional relationship is a type of relationship that passes through the origin (0, 0) and produces equivalent ratios as represented by the following mathematical equation:
y = kx
Where:
y represents the y-variable.x represents the x-variable.k is the constant of proportionality.In conclusion, the characteristics for a graph that shows a proportional relationship include the following:
A straight line can be drawn through its points.
The straight line connecting the points passes through the origin.
Read more on proportional relationship here: brainly.com/question/28350476
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7 yd 2 ft = How many feet ?