Answer:
100cm
Step-by-step explanation:
since the circumference is 20cm and formula for finding a circumference of a circle is c=2(pi)r, where r is radius and pi is constant value which is equivalent to 22/7. so the radius of 20cm circumference is 3.1847 by using this eqn c/2(pi)=r. now the calculated radius will b multiply by 5 to get 15.92cm which is put in cirumference formula i.e. c=2(pi)r we get 100cm circumference.
what equation is equivalent to 3(2x-5)=4(x+3)
Answer:
6x-15 = 4x+12
Step-by-step explanation:
3*2x = 6x
3*-5 = -15
4*x=4x
4*3=12
6x-15 = 4x+12
Answer:
6x - 15 = 4x + 12
Explanation:
Simplify 3 * 2x = 6x. 3 * -5 = -15. 4 * x = 4x. And 4 * 3 = 12. Then just put 'em together! :D
What’s the answer to this equation?
Answer:
Part A) The graph in the attached figure
Part B) see the explanation
Step-by-step explanation:
Part A) Graph the function
we have the quadratic function
[tex]y=3x^2-12x-36[/tex]
This is a vertical parabola open upward
The vertex is a minimum
using a graphing tool
The graph in the attached figure
Part B) What are the values of a, b and c?
we know that
The values of a and b represent the x-intercepts of the quadratic equation
The x-intercepts are
(-2,0) and (6,0)
so
[tex]a=-2\\b=6[/tex]
Find the value of c
we know that
The x-coordinate of the vertex in a vertical parabola is equal to the midpoint of the roots
so
The value of c is equal to
[tex]c=\frac{a+b}{2}[/tex]
substitute the given values
[tex]c=\frac{-2+6}{2}=2[/tex]
see the attached figure
What is the change that occurs to the parent function f(x) = x^2 given the function f(x) = (x + 1)^2 - 5.
How should I prove this???
What is 926 divided by 38? and also what is its remainder
Hello!
The answer to your problem is 24 R 14 (R for remainder)
Here is my work show.
Answer: 24.37
Step-by-step explanation:
926/36 = 24.3684
Rounded = 24.37
Prince Humperdinck has 17 henchmen. Unfortunately, all but six die. How many henchmen does he have left?
Answer:
6
Step-by-step explanation:
The question might be trying to be tricky. If Prince Humperdinck has 17 henchmen and ALL BUT 6 die. That means that 6 are alive.
22.4 divide by 134.4
Brandy drove three times as far as Trisha. Together, they drove 48 miles. Which equation below can be used to find the number of miles Trisha drove?
48=4x can be used to determine the miles covered by Trisha that is 12 miles.
Total distance covered comprises the sum of distances covered by individual entities. Sum means adding like terms in mathematics.
Given, the total number of miles covered by both of them, t= 48 miles
If miles covered by Trisha = x
Then, miles covered by Brandy = 3x (as Brandy drove three times as far as Trisha ).
The total distance covered comprises miles covered by Trisha as well as Brandy.
t=x+3x
On adding the like terms.
t=4x
Substituting t=48,
48=4x
Dividing 4 both sides of the equation,
48/4=4x/4
12=x
x=12 miles
So, the Number of miles Trisha drove is 12.
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A store starts the day with 36 packages of juice boxes. Each package contains the
same number of juice boxes. By the end of the day, there are only 8 packages of
juice boxes left.
Part A
Write an expression with two terms to represent the number of juice boxes the
store sold.
Part B
Simplify your expression to create an equivalent expression.
Step-by-step explanation:
Given:
Number of packets at the beginning of the day, Nb = 36 packets
Number of packets at the end of the day, Ne = 8 packets
A.
Number of packets sold, Ns = Nb - Ne
36 - Number of packets sold, Ns = Ne
8 = 36 - Ns
Ns = 28
B.
8 = 36 - Ns
8 = 36 - 28
Final answer:
The expression representing the number of juice boxes sold is 28 multiplied by x, where x is the number of juice boxes per package. Since x is unknown, the expression cannot be simplified further and remains as 28 × x.
Explanation:
Part A: Representing the Number of Juice Boxes Sold
To represent the number of juice boxes sold, let's denote the number of juice boxes in each package as x. The store started with 36 packages and ended with 8. We are looking for the number of juice boxes in the packages that were sold. The expression is:
28 × x (since 36 - 8 = 28, and 28 packages were sold)
Part B: Simplifying the Expression
To simplify the expression, we do not have further information to simplify 28 × x more because x represents an unknown number of juice boxes per package. The simplified expression remains as:
28 × x
What must be the length of ZY in order for ZY to be tangent
to circle X at point Y?
14 units
15 units
16 units
17 units
Answer:
15 units
Step-by-step explanation:
The picture of the question in the attached figure
we know that
Triangle XYZ is a right triangle, because segment ZY is tangent to circle X at point Y
so
Applying the Pythagorean Theorem
[tex]XZ^2=XY^2+ZY^2[/tex]
we have
[tex]XZ=8+9=17\ units\\XY=8\ units[/tex]
substitute the given values
[tex]17^2=8^2+ZY^2[/tex]
[tex]ZY^2=289-64\\ZY^2=225\\ZY=15\ units[/tex]
Answer:
15
Step-by-step explanation:
PLEASE ANSWER
For Saturday’s debate tournament, Sarah ordered 3 cookies for each student participant and a tray of 30 cookies for the sponsors’ hospitality room. This relationship can be expressed by the function C = 3s + 30, where s is the number of student participants and C is the number of cookies ordered. Which is the dependent quantity in this functional relationship?
A. The number of cookies ordered
B. The number of trays ordered
C. The number of student participants
D. The number of sponsors
Answer:
A
Step-by-step explanation:
The cookies ordered is the dependent quantity/variable because the other variables don't depend on anything that is quantifiable.
The dependent quantity in this functional relationship is A. The number of cookies ordered.
A dependent quantity simply refers to the quantity that depends on another quantity or is determined by another quantity.
Based on the information given, the dependent quantity in this functional relationship is the number of cookies ordered since it depends on other factors such as the number of trays and students.
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the point A ( 5,3) translate 3 to the right and 1 down. what is the new point? (x,y)----> (x+3,4-1)
Answer:
(8, 2) OR (x + 3, y - 1)
Step-by-step explanation:
Step 1: Add 3 to 5 and subtract 1 from 3
(5 + 3, 3 - 1)
(8, 2) OR (x + 3, y - 1)
Answer: (8, 2) OR (x + 3, y - 1)
Solve proportion S/84=3/21
Answer:
S=21
Step-by-step explanation:
First cross multiply, next divide. I hope this helped!
Answer: S = 12
Step-by-step explanation:
S/84 =3/21
Cross multiply to find the value of S
21 x S= 84 x 3
21S= 252
S= 252/21
S= 12
The measure of Mis 57°. What is the measure of its complementary angle?
A 33
B90°
C123
D180°
Answer:
A 33°
Step-by-step explanation:
Complementary angle of 57° = 90° - 57° = 33°
Barry was born with 10 fingers . Every year , the numbers of fingers does not change .
Answer:
HE will have 10 fingers
Step-by-step explanation:
How many interior angles does a star have
five acute angles: the rest of this text does not matter.
A wise man once said, “400 reduced by 4 times my age is 168.” What is his age?
Answer: the man is 58!
Step-by-step explanation: please mark brainliest
we could use this equation
168=400-4a an a= uknown age
-400 -400
-232=-4a
divide by -4 on both sides to get the variable by itself
58=a
a=58
and to double check we can do this
168=400-4(58) by susbtuting the variable
168=400-232
168=168 correct
The sum of three consecutive even numbers is 522.find the number
Answer: 172, 174 and 176
Step-by-step explanation:
Since they are even numbers,
Let x be the number, x + 2 be the second number and x +4 the third number
can think of this as x+(x+2)+(x+4)=522
so you get 3x=522-6
3x= 516
so x=172
If x is 172, second number is 174 and third number is 176
How do you multiply 342 and 13.5
Answer:
Step-by-step explanation: first multiply 342 and 135
then put the decimal just before the ones digit.
answer is
4617.0
please mark as brainliest
Find the composite area of the shaded region
Answer:
what region
Step-by-step explanation:
2x+15=145
Solve for x
Answer:
Step-by-step explanation:2x=145-15
2x=130
X=130/2
X=65
What is the value of x ?
A : 15
B : 30
C: 45
D : 60
Answer:
A
Step-by-step explanation:
So that is a 90 degree angle and there is an angle of 30. 30-90 is 60. 60 divided by 4 is 15. So thus the answer is A,15.
Answer:
15
Step-by-step explanation:
90 is right angle
90 - 30 = 60
60 / 4 = 15 <---- theres the answer
hope i helped
Determine whether the two expressions are equivalent. If so, tell what property is applied.
(20 – 4) – 2 and 20 – (4 – 2)
Both expressions (20 – 4) – 2 and 20 – (4 – 2) are equivalent, simplifying to 14. The equivalence exemplifies the Associative Property of Addition.
The question asks to determine whether the two expressions (20 – 4) – 2 and 20 – (4 – 2) are equivalent, and if so, to identify the property applied. To determine equivalence, we need to simplify both expressions. The first expression, (20 – 4) – 2, simplifies to 16 – 2 which equals 14. The second expression, 20 – (4 – 2), simplifies to 20 – 2 which also equals 14. Therefore, both expressions are equivalent, and the property applied here is the Associative Property of Addition, which allows us to change the grouping of the numbers we're adding (or subtracting, in this case) without changing the result.
A 20 packet box of detergent sells for $5.49. What is the unit rate
Answer:$0.27
Step-by-step explanation:
20=$5.49
1=20/5.49
1=$0.2745
A movie theater sells small and large boxes of popcorn.
• A small box of popcorn costs $1.50.
• A large box of popcorn costs $4.00.
• A total of 25 boxes of popcorn were sold totaling $75.00.
How many large boxes of popcorn were sold?
A 6
B. 10
C.
12
D.
15
There 15 large boxes of popcorn were sold. The option D is correct.
We need to determine the number of large boxes of popcorn sold. Let's denote the number of small boxes as s and the number of large boxes as l. We are given the following information:
The cost of a small box of popcorn is $1.50.
The cost of a large box of popcorn is $4.00.
A total of 25 boxes of popcorn were sold.
The total revenue from popcorn sales was $75.00.
We can set up two equations based on this information:
s + l = 25 (the total number of boxes sold)
1.50s + 4.00l = 75.00 (total revenue from sales)
Let's solve for l using these equations. Multiplying the first equation by 1.50 gives us:
1.50s + 1.50l = 37.50
Subtracting this from the second equation:
(1.50s + 4.00l) - (1.50s + 1.50l) = 75.00 - 37.50
2.50l = 37.50
l = 37.50 / 2.50
l = 15
2x + y = 3
4x + 3y = 1
Answer:
x = 4, y = -5 OR (4, -5)
Step-by-step explanation:
Step 1: Solve for y in the first equation
2x + y - 2x = 3 - 2x
y = 3 - 2x
Step 2: Plug in that into the second equation to get x
4x + 3(3 - 2x) = 1
4x + 9 - 6x = 1
-2x + 9 - 9 = 1 - 9
-2x / -2 = -8 / -2
x = 4
Step 3: Use x to find y
y = 3 - 2(4)
y = 3 - 8
y = -5
Answer: x = 4, y = -5 OR (4, -5)
An electronics store reduced the price of a TV from $1000 to $880. What was the percent of decrease?
Answer:
12% decrease
Step-by-step explanation:
think of 1000 as 100% and thin 880 as 88% subtract those 12%
The price decrease from $1000 to $880 represents a 12% decrease. This is figured out by taking the difference in price, dividing it by the original price, and then multiplying by 100%.
Explanation:The percentage decrease is calculated by taking the difference in price divided by the original price, and then multiplying by 100 to get a percentage. In this case, the difference in price is the original price minus the sale price. This would be $1000 - $880 = $120. So, the formula would be ($120/$1000)*100. The calculated percentage decrease is 12%, meaning the price of the TV has been reduced by 12%.
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Triangle A B C has centroid G. Lines are drawn from each point through the centroid to the midpoint of the opposite side to form line segments A E, B F, and C D. The length of line segment A G is 2 x + 10, the length of line segment F G is 2 x minus 1, and the length of line segment G B is 3 x + 6.
G is the centroid of triangle ABC.
What is the length of AE?
units
Answer:
The length of AE is 39 units.
Step-by-step explanation:
Given:
G is the centroid of a triangle ABC.
Lines are drawn from each point through the centroid to the midpoint of the opposite side to form line segments AE, BF, and CD.
The length of line segment A G is 2 x + 10, the length of line segment F G is 2 x minus 1, and the length of line segment G B is 3 x + 6
To Find: Length of the AE.
The centroid of the triangle is always cut the line in the ratio of 2:1. For clarification, the image is provided.
Hence,
G divides the line BF into a 2:1 ratio.
Thus,
[tex]\begin{aligned}&2FG=BG\\&2(2x-1)=3x+6\\&4x-2=3x+6\\&x=8 \end{aligned}[/tex]
Also,
G divides the line AE into a 2:1 ratio.
Therefore,
[tex]AG=2GE\\GE=AG/2[/tex]
Line segment AE is the sum of AG and GE.
Thus,
[tex]AE=AG+GE\\AE=AG+AG/2\\AE=3AG/2\\AE=3(2x+10)/2\\AE=39[/tex]
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The length of AE is 9 units.
Given that G is the centroid, it divides each median into two segments with the ratio of 2:1, where the longer segment is toward the vertex and the shorter segment is toward the midpoint of the opposite side.
Let's denote the length of AG as a, the length of BG as b, and the length of FG as c. According to the given information:
1. AG = 2x + 10
2. FG = 2x - 1
3. BG = 3x + 6
We know that AG = 2GE and BG = 2GE. Thus:
[tex]\[ AG = 2GE \implies GE = \frac{AG}{2} = \frac{2x + 10}{2} = x + 5 \]\[ BG = 2GE \implies GE = \frac{BG}{2} = \frac{3x + 6}{2} = \frac{3}{2}x + 3 \][/tex]
Since GE is common, we can equate the expressions:
[tex]\[ x + 5 = \frac{3}{2}x + 3 \][/tex]
Solving for x:
[tex]\[ \frac{1}{2}x = 2 \][/tex]
x = 4
Now that we've found the value of x, we can substitute it back into the expressions for AG and FG to find their lengths:
AG = 2x + 10 = 2(4) + 10 = 18
FG = 2x - 1 = 2(4) - 1 = 7
Now, we know that AE = AG - GE:
AE = AG - GE = 18 - (x + 5) = 18 - (4 + 5) = 18 - 9 = 9
So, the length of AE is 9 units.
How do u graph y=15x+35?
Hey there!
This is slope intercept form, where y=mx+b, where b is the y-intercept (where the line hits the y-axis) and the slope (rate of change).
If you wanted to graph this line, we can see that the y intercept in 35. Therefore, our line is going have one point on (0,35). Our slope is 15, which is positive, showing that our line will go up. Because the slope is fifteen, for every single increase of 1 there is in x, there will be an increase of 15 in y. This will give us points like (1,15) (2,30) (3,45). Therefore, this will be a very steep line.
You can use this info to graph your line.
Answer:
PLS PASS BRAINLIEST
Step-by-step explanation:
put the first point on 35 on y axis
now count 15 from 35 which is 50 and move one to the right
which is (50,1)
and keep on reapeting that
Mary needs to ship a cubed shaped box to her aunt Lucy. She needs to find the volume of the box to know if she has enough room for a ring that she is sending. Find the volume of a cube with a side length of \frac{1}{2}1 2 an inch. Use the formula V = s3, where s is the side length of the cube.
Answer:
[tex]0.125 \ in^3[/tex]
Step-by-step explanation:
Given the sides of the cube as 0.5 inch.
#the volume of a cube is calculated as the product of the three sides:
[tex]V=s^3, \ \ \ \ s=0.5in\\\\V=0.5\ in\times 0.5\ in\times 0.5\ in\\\\V=(0.5\ in)^3\\\\V=0.125\ in^3[/tex]
Hence, the volume of Mary's cube is 0.125 cubic inches