Answers
Related Questions
How to write an expression to represent a number g divided by 5
Answers
Answer:
g ÷ 5
Step-by-step explanation:
Variable: g
Operation: Division (represented as ÷)
Constant: 5
Put together the equation:
g ÷ 5
Hope this helps :)
The tires on your bicycle have a diameter of 20 inches. How many rotations does each tire make when you travel 500 feet?
Answers
Answer:
Rotations of tire to travel 500 feet: 95.54
Step-by-step explanation:
Circumference = 20 x 3.14 = 62.8 in
500 feet = 500 x 12 inches = 6,000 in
Rotations = 6000 / 62.8 = 95.54 rotations of tire
what is the measure of its complementary angle.
Answers
Answer:
78.6 degrees.
Step-by-step explanation:
Complementary angles add up to 90 degrees. So just take 11.4 from 90.
90 - 11.4 = 78.6
1) 4x - 5y = -22
-2x + 5y = 26
Answers
(2,6)
Equation form:
X=2, y=6
X=2
Explanation: simultaneous equations
4x-5y=-22.....1
-2x+5y=26.....2
Add equation 2 to equation 1
2x=4
Divide both sides by two
X=2
when a curve and a line meet at a point, are their gradient equal?
Answers
Check the picture below.
the slope goes by several names
• average rate of change
• rate of change
• deltaY over deltaX
• Δy over Δx
• rise over run
• gradient
• constant of proportionality
however, is the same cat wearing different costumes.
well, by the definition of a derivative, the slope at the point is f'(a), and any tangent line going through it will also have the same exact slope, keeping in mind that a straight line has a constant slope.
und
circumference - 150 m
What is the measure of its radius?
Answers
Answer:
The radius is 75m
Answer:
[tex]2\pi \times r = 150 \\ 6.2831r = 150 \\ \frac{6. 2831r}{6.2831} = \frac{150}{6.831} \\ r = 23.87cm[/tex]
A local hamburger shop sold a combined total of 518 hamburgers and cheeseburgers on Tuesday. There were 68 more cheeseburgers sold than hamburgers.
How many hamburgers were sold on Tuesday?
hamburgers
Answers
Final answer:
To find the number of hamburgers sold, we set x as the number of hamburgers and x + 68 as the number of cheeseburgers, given that the total sold was 518. The equation x + (x + 68) = 518 is solved to find that 225 hamburgers were sold.
Explanation:
To solve this problem, let's use algebra. Let x be the number of hamburgers, then the number of cheeseburgers would be x + 68 since there were 68 more cheeseburgers sold than hamburgers. Given that the total number of hamburgers and cheeseburgers sold is 518, we can set up the following equation:
x + (x + 68) = 518
Solving for x we get:
2x + 68 = 518
2x = 518 - 68
2x = 450
x = 225
So, the hamburger shop sold 225 hamburgers on Tuesday.
Which of the following is a solution of x^2 + 5x = -2?
Answers
Answer:
x= -0.4385 or -4.5615
Step-by-step explanation:
x²+5x+2=0
Using almighty formula;
a=1, b=5, c=2
x = [ -b± √( b^2 - 4ac)]/2a
x= -5±√(25-8)/2
x=(-5±4.123)/2
Therefore x=(-5+4.123)/2 or (-5-4.123)/2
x= -0.4385 or -4.5615
The solutions are [tex]\(x = \frac{{-5 + \sqrt{17}}}{2}\) and \(x = \frac{{-5 - \sqrt{17}}}{2}\).[/tex]
To find the solution of the equation [tex]\(x^2 + 5x = -2\), we need to solve for \(x\).[/tex]
Let's rearrange the equation to bring all terms to one side:
[tex]\[x^2 + 5x + 2 = 0\][/tex]
Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. Let's use the quadratic formula:
[tex]\[x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}}\][/tex]
In our equation, [tex]\(a = 1\), \(b = 5\), and \(c = 2\).[/tex]
[tex]\[x = \frac{{-5 \pm \sqrt{{5^2 - 4(1)(2)}}}}{{2(1)}}\]\[x = \frac{{-5 \pm \sqrt{{25 - 8}}}}{2}\]\[x = \frac{{-5 \pm \sqrt{{17}}}}{2}\][/tex]
So, the solutions are:
[tex]\[x_1 = \frac{{-5 + \sqrt{{17}}}}{2}\]\[x_2 = \frac{{-5 - \sqrt{{17}}}}{2}\][/tex]
Thus, [tex]\(x = \frac{{-5 + \sqrt{{17}}}}{2}\) or \(x = \frac{{-5 - \sqrt{{17}}}}{2}\). These are the solutions to the equation \(x^2 + 5x = -2\).[/tex]
Complete the statements below that show y = x2 + 2x - 1 being converted to vertex form.
Answers
Answer: (-1,-2) Sowwy if im wrong
Step-by-step explanation:
Answer:
1 and 1
Step-by-step explanation:
A circle passes through point (-2, -1) and its center is at (2, -1). Which equation represents the circle?
Answers
Answer:
[tex]\text{A)}\qquad (x-2)^2+(y+1)^2=16[/tex]
Step-by-step explanation:
The formula for a circle of radius r centered at (h, k) is ...
(x -h)^2 +(y -k)^2 = r^2
Both of the given points are on the line y=-1. The distance between them is the difference of their x-coordinates, 2 -(-2) = 4. So, the radius of the circle is 4 and the equation becomes ...
(x -2)^2 +(y -(-1))^2 = 4^2
(x -2)^2 +(y +1)^2 = 16 . . . . . . . . . matches choice A
None of this makes sense
Answers
The volume of the cone is:
V=Sb×h/3=(pi×r²)×h/3, where Sb is the area of the base (circle of radius r) and h is the height.
V=pi×r²×h/3=pi×1.5²×5/3=11.775in³
The closest indicated value is the first one, 11.78in³
Someone help Solve 1/3/5 = a/20
Answers
If your question is 1/3 divided by 5
1/3 divided by 5/1 reciprocal and change the sign
1/3 • 1/5
1/15=a/20
Cross multiply. 15a=20
a=20/15
a=4/3
If your question is 1 divided by 3/5
1/1•5/3
5/3=a/20
100=3a
a=33.333333333 or 100/3
If your question is 1 divided by 3 divided by 5
1/1•1/3•1/5
1/15=a/20
20/15
a=4/3
Sorry if this was all confusing. Hopefully I helped even a little bit
Solve this problem : (X-3)^2
Answers
Answer:
x^2 - 6x + 9
Step-by-step explanation:
(x - 3)^2
(x - 3)(x - 3)
x^2 - 3x - 3x + 9
x^2 - 6x + 9
Answer:x^2-6x+9
Step-by-step explanation:
(x-3)^2=(x-3)(x-3)=x^2-3x-3x+9
Collect like terms
X^2-6x+9
a cone shaped pile of saw dust has a base diameter of 26 feet and is 10 feet tall find the volume of the pile
Answers
The formula to the volume of cone is πr²h. Pi x 13² x 10 = 5309.29158457.
is 419108 divisible by 4?
Answers
Answer:
419,108 is divisible by 4
Step-by-step explanation:
419,108 is divisible by 4, if there is an integer 'n' such that 419,108 = 'n' × 4.
Answer:
yes
Step-by-step explanation:
At the end of the number 419108 the last 2 digits 08 which is 8 can be divided by 4.
This is a rule the last 2 digits e.g 1,248 the 48 can be divided by 4.
A container is in the shape of a cylinder with a hemisphere on the top. The cylinder has radius 5 cm and height 8 cm. The hemisphere has the same radius as the cylinder.
What is the total surface area of the container? Give your answer in cm2 correct to 3 significant figures.
Answers
The total surface area is given by:
The base of the cylinderThe lateral surface of the cylinderThe surface of the hemishpereThe base of the cylinder is a circle with radius 5cm, so its area is
[tex]A=\pi r^2=25\pi[/tex]
The lateral surface of the cylinder is a rectangle whose base is the circumference of the base circle, and whose height is the height of the cylinder. So, its area is
[tex]A=b\cdot h=2\pi r\cdot h = 10\pi\cdot 8=80\pi[/tex]
Finally, the surface of a sphere is given by
[tex]A=4\pi r^2[/tex]
so, half that surface will be
[tex]A=2\pi r^2=50\pi[/tex]
And the total surface area will be the sum of the three areas:
[tex]A=25\pi+80\pi+50\pi = 155\pi[/tex]
Answer:
Total surface area of the figure[tex]=486.7cm^2[/tex]
Step-by-step explanation:
Total surface area of the figure= Surface area of cylinder + Area of the top hemisphere
[tex]r= 5cm\\\\h= 8cm[/tex]
Area of the cylinder with the side walls and the the bottom:
[tex]A=(2*\pi* r*h)+(\pi *r^2)[/tex]
[tex]=(2*3.14*5*8)+(3.14*5*5)\\\\ =251.2+78.5\\\\ = 329.7 cm^2[/tex]
Area of the top hemisphere:
[tex]2*\pi *r^2[/tex]
[tex]=2*3.14*5*5[/tex]
Area of the top hemisphere= [tex]157 cm^2[/tex]
Total surface area of the figure [tex]= 329.7+157\\\\[/tex]
[tex]=486.7cm^2[/tex]
What is the first step in financial planning?
A.
maintaining a log of all your expenses
B.
understanding what you want
C.
preparing a balance sheet
D.
attaching a goal cost to every goal
E.
attaching a time frame to every goal
Reset Next
Answers
Answer:
I think E hope it can help
What is the area of the figure?
Enter your answer in the box.
Answers
The area of the figure is 112 square inches.
Step-by-step explanation:
Step 1:
To calculate the value of the composite shape we first divide it into shapes that we know.
In this case, the composite shape consists of a triangle and a square attached below it.
If we can calculate the individual areas of the two shapes we should be able to calculate the area of the composite shape.
Step 2:
The triangle has a base length [tex]=10-6=4[/tex] inches and the height is [tex]16-10=6[/tex] inches.
The area of the triangle [tex]= \frac{1}{2} (b)(h) = \frac{1}{2} (4)(6) = 12.[/tex]
The area of the triangle is 12 square inches.
Step 3:
The area of a square is the square of its side length. The given square has a side length of 10 inches.
The area of the square [tex]= a^{2} = 10^{2} = 100.[/tex]
The area of the square is 100 square inches.
Step 4:
Now we calculate the area of the entire figure by adding the areas of the triangle and the square.
Area of the figure [tex]= 100 + 12 = 112.[/tex]
So the area of the figure is 112 square inches.
Given: 2x + 3y = 6. When x has a value of zero, the y value is 2.
Answers
The statement is true. When x has a value of zero, the y value is 2. So option (a) is correct.
To determine whether the statement is true or false, let's first analyze the given equation:
2x + 3y = 6
We're given that when x = 0, y = 2. We can use this information to solve for y:
2(0) + 3y = 6
0 + 3y = 6
3y = 6
y = 6/3
y = 2
This confirms that when x = 0, y does indeed equal 2. So, the given information is consistent with the equation. Therefore, the statement "When x has a value of zero, the y value is 2" is true.
To summarize:
Given the equation 2x + 3y = 6, when x = 0, y = 2.
Proof:
2(0) + 3(2) = 6
0 + 6 = 6
6 = 6
Thus, when x is 0, y is indeed 2, verifying the statement as true.
Complete Question:
Given: 2x+3y=6. When x has a value of zero, the y value is 2.
(a) True
(b) False
f (x) = -3x – 4.
f (2/3)=
Answers
Answer:
f(2/3)=-6
Step-by-step explanation:
f(x) =-3x-4
x=2/3 then
f(2/3)=-3*(2/3)-4=-6/3-4=-2-4=-6
What is the measure of
Answers
Answer:
Angle QPU = 110
Step-by-step explanation:
Since angle QPU & RPQ are supplementary angles, they add up to 180 degrees. So take 180 - 70 which gives you 110.
Answer:
Step-by-step explanation:
Note, line UPR is a straight line
Also, angle on a straight line is 180
Therefore,
<QPU and <QPR are supplementary
<QPU+<QPR=180
Given that <QPR=70°
<QPU+70=180
Subtract 70° from both sides of the equation
<QPU=180 -70
<QPU=110
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
no solution
Step-by-step explanation:
no solution
10²÷0.00541 helpssssss
Answers
Answer:
The answer would be 18484.2883549
Step-by-step explanation:
Firstly, you'll simplify 10².
10²÷0.00541 ---> 100 ÷ 0.00541
Then, you'll divide 100 by 0.00541.
100 ÷ 0.00541 ---> 18484.2883549
Answer:
18484.28835
Hope this helps
-Amelia The Unknown
Archaeologists want to determine the probability of a certain number of students finding a fossil during an expedition.
The probability of an individual finding a fossil is 22%. What determines the number of successful trials in this study?
the probability of an individual finding a fossil
the probability of an individual not finding a fossil
the number of individuals surveyed who found a fossil
the number of individuals whom the archaeologists surveys
Answers
Step-by-step explanation:
what is the answer to 8/3 divided by 10/3?
Answers
Answer:
24/30
Step-by-step explanation:8/3 times 3/10. Multiply across. Always flip the 2nd fraction when dividing fractions then multiply
Answer:
4/5
Step-by-step explanation:
8/3 divided by 10/3
Remember, Keep Change Flip.
8/3 x 3/10
= 24/30
= 4/5
The sum of four consecutive even integers is-28
Answers
Answer:
-10, -8, -6, -4
Step-by-step explanation:
Perhaps you want to know what they are.
__
The odd number between the middle two is their average value: -28/4 = -7.
The integers are -10, -8, -6, -4.
Answer: The even integers are -10, -8, -6 and -4
Step-by-step explanation:
Let the smallest of the even integers be represented by x, the other three will therefore be x +2, x +4 and x+6
Thus, x + (x+2) + (x+4) + (x+6) = -28
4x + 12= -28
Make x the subject of the equation
4x= -28 - 12
4x= -40
x = -10,
since the x = -10,
x + 2= -10 + 2= -8
x + 4= -10 +4 = -6
x + 6= -10 + 6= -4
I hope this helps.
Are ratios 7/4 and 42/24 equivalent
Answers
42/24 = 42/24 or 7/4 = 42/24 so yes
Step-by-step explanation:
they're equivalent
42 and 24 are multiple of 6
so 42/24
42/6 is 7
24/6 is 4
fraction is 7/4 so YES
You are adding 6[tex]\frac{3}{4}[/tex] + 3[tex]\frac{2}{3}[/tex] using fraction strips. Explain how you rename the fraction part of the sum.
Answers
Step 2: Multiply the numerators by the same number that you multiplied the denominators by to find the new numerators. You should get 9/12 + 8/12
Step 3: Add the fractions. You should get 17/12 which equals 1 5/12
Step 4: add the whole number. You should get 9
Step 5: add the whole numbers and the fraction. 9 + 1 5/12. You should end up with 10 5/12.
Answer:
10 5/12
Fraction part: 5/12
Step-by-step explanation:
6¾ + 3⅔
6 + 3 + ¾ + ⅔
9 + [3(3) + 4(2)]/12 12 is the LCM
9 + (9+8)/12
9 + 17/12
9 + (12+5)/12
9 + 1 + 5/12
10 5/12
Help, please! Image + question. below!
Answers
Answer: The answer is 4) 4x*3 +4x^2 where x = 6,13
4x^3 = 6.13 x 6.13 x 6.13 =230 +4x^2 =
=232.7+ 49.04 = 282.1 cube
The answer is 281.1 when x=6.13
Step-by-step explanation:
Answer:
A, B & C
Step-by-step explanation:
Edge 2020 assignment
A 1,000 gallon pool (no top) with a rectangular base will be constructed such that the length of the base is twice the width. Find the dimensions (length, width, and height) of the pool that minimize the amount of material needed to construct it.
Answers
Answer:
W = 4.646 ft
L = 9.292 ft
H = 3.097 ft
Step-by-step explanation:
Let's say the L is the length, W is the width, and H is the height.
The volume of the pool is:
V = LWH
The area of the pool is:
A = LW + 2LH + 2WH
L = 2W, so substituting:
V = (2W)WH
V = 2W²H
A = (2W)W + 2(2W)H + 2WH
A = 2W² + 4WH + 2WH
A = 2W² + 6WH
Solving for H in the first equation and substituting into the second:
H = V/(2W²)
A = 2W² + 3V/W
Find dA/dW and set to 0.
dA/dW = 4W − 3V/W²
0 = 4W − 3V/W²
4W = 3V/W²
4W³ = 3V
W = ∛(¾V)
V = 1000 gallons or 133.7 ft³.
W = ∛(¾(133.7 ft³))
W = 4.646 ft
So L = 9.292 ft and H = 3.097 ft.