4. Tom made a square measuring 8 feet by 8 feet, and had 18 friends stand inside it as if they are watching a band
at a small club. Find the ratio of this number to the rectangle's area. Choose the appropriate label for this ratio.
Answer:
9 people per 32 square ft
(or 9:32)
Step-by-step explanation:
First find the area:
8*8=64 sqr ft
Next create a ratio
18 people to 64'sqr
Now we try reducing
18/2 = 9
64/2 = 32
So the final ratio is 9 people per 32 square ft
9:32
Hope this helps! :)
George did the following problem. See if you can spot the error. HINT: Order of operations was used to solve this problem. - 8 • - 3 + 27 ÷ 3 - 8 + 24 ÷ 3 - 8 + 8 = 0
Answer:
Step-by-step explanation:
oh yea he misplaced the 8
A force of 120 N is applied to an object that accelerates at a rate of 2 m/sec2. What is the mass of the object?
Answer:
This is my answer is
Force=mass × acceleration.
120=mass × 2.
120=2m.
mass=60kg
I need the following solutions to the following equations.
3(4x-3) -19=8x -4
-6y+14=32-4y
-28+5-3x=2-2x
Answer:
x = 6
y = -9
x = -25
Step-by-step explanation:
1st Equation
Step 1: Write out equation
3(4x - 3) - 19 = 8x - 4
Step 2: Solve
12x - 9 - 19 = 8x - 4
12x - 28 = 8x - 4
4x - 28 = -4
4x = 24
x = 6
2nd Equation
Step 1: Write out equation
-6y + 14 = 32 - 4y
Step 2: Solve
-2y + 14 = 32
-2y = 18
y = -9
3rd Equation
Step 1: Write out equation
-28 + 5 - 3x = 2 - 2x
Step 2: Solve
-23 - 3x = 2 - 2x
-23 = 2 + x
-25 = x
x = -25
Brenden runs six times a week for thirty minutes and lifts three times a week for twenty minutes. Write a mathematical expression for the number of hours Brenden works out in a week.
Answer: [tex]\frac{6(#30)+3(20)}{60}[/tex]
Step-by-step explanation:
6(30)+3(20)
=180+60
= 240/60
=4 hours
Kimberly went to a new animated monster movie yesterday afternoon. When she went into
the movie theater, the outside temperature was -8°F. By the time she left the theater, the
temperature had decreased by 6°F.
What was the temperature when Kimberly left the theater?
Explanation:
Draw a vertical number line. At the center is 0. Anything above this marker represents positive temperatures. Anything below 0 is negative. So we'll have -8 below 0. Move 6 spaces down to go from -8 to -14. You can think of it as moving 6 floors down a building to go from basement level 8 to basement level 14.
Identity the slope
of the line below.
y = -2x +3
Your answer
Answer:
-2
Step-by-step explanation:
3 would be your y intercept
-2 is your slope
Answer:
-2
Step-by-step explanation:
[tex]Slope =m\\\\y = -2x +3\\y =\:\:mx+b\\\\m = -2[/tex]
Becky is tossing a six-sided number cube labeled 1, 2, 3, 4, 5, and 6. What is the probability of tossing 6 two times in a row? A. 1 36 B. 1 6 C. 1 3 D. 1 2
Answer:
A. 1/36
Step-by-step explanation:
The probability of Becky tossing 6, 2 times in a row is given by the following ways:
1. If you toss the die the first time you get an odd of 1/6
2. If you toss the die the second time you get another odd of 1/6
3. You multiply by odds 1/6 with 1/6
= 1/6 x 1/6
= 1/36
Therefore option a answers the question correctly.
The height of a triangle is 4 inches. Greater than twice it's base. The area of the triangle is no more than 168 in.². Which any quality can be used to find the possible lengths, x, of the base of the triangle
Step-by-step explanation:
this problem seeks to test our knowledge on word problems and algebra
Solution
let the base be x, and
the height h = 2x+4
We know that area of a triangle is given as
[tex]A= \frac{1}{2} b*h[/tex]
substituting our given values we have
[tex]168= \frac{1}{2} x*(2x+4)\\\\168= \frac{2x^2+4x}{2} \\\\168= x^2+2x\\\\[/tex]
re-arranging we have
[tex]x^2+2x-168=0\\\\[/tex]
we can now find two factors that will add up to give 2 and multiply to give -168
they are 14 and -12
[tex]x^2-14x+12x-168=0\\\\x(x-14)+12(x- 14)=0\\\\x+12=0\\\\x=-12\\\\x-14=0\\\\x=14[/tex]
The possible base of the triangle is 14 in
and the height is
[tex]h= 2x+4\\\\h=2(14)+4\\\\h= 28+4\\\\\h= 32 in[/tex]
Which expression converts 100 inches per minute to feet per minute?
100 Inches
I minute
60 minutes
1 hour
100 inches
1 minute
1 hour
60 minutes
100 inches
1 minute
1 foot
12 inches
100 inches
1 minute
12 inches
1 foot
A clothing company dyes cotton clothes in a huge container. They pour liquid dye into the container at a constant rate. How many ounces of dye do they pour into the container in 22 minutes
Answer:
Sorry, but I will need more info to solve this problem. Like how many oz they pour in for each load or how often they do a load.
What fractions are equal to 2/3
Answer:
Step-by-step explanation: yes
Answer: 4/6, 6/9, 8/12, 10/15 are all fractions equal to 2/3.
Step-by-step explanation: If you multiply both numerator and denominator in the fraction by any number, the new multiplied fraction will still be equal to the original fraction because fractions are proportionate.
For example: you can multiply 2/3 by 3.
2 x 3 = 6
3 x 3 = 9
6/9 is equal to 2/3 because the proportions are the same.
Another example: you can multiply 2/3 by 4.
2 x 4 = 8
3 x 4 = 12
8/12 is equal to 2/3 because, like before, the proportions are the same.
3/2x-2/3x=2 please help!!!
Answer:
NO SOLUTION
Step-by-step explanation:
3/2x-2/3x=2
find the common denominater which is 6 and whatever you do to the bottom you have to do to the top, in turn you'll get
6/6x-6/6x=2
In this case since their both the same you subtract x from x and when you do that you get,
NO SOLUTION = 2
Answer:
x= 12/5 =2.400
Step-by-step explanation:
Sorry if i'm wrong but i hope i'm not hope u get a good grade : )
Please help me with my homework my homework question
Answer:
(B) Subtract 3x from both sides of the equation, and then divide both sides by 2.
Can't read the second question fully.
(A) 0.53
Step-by-step explanation:
Number 1:
If we have the equation [tex]3x + 2 = 5x[/tex], our first goal is to get rid of the x term on one side.
To do this we can subtract 3x from both sides. This leaves our equation to [tex]2=2x[/tex]. To find x, we want to divide both sides by 2 since 2x divided by 2 is just x. Our goal is to isolate x. This leaves [tex]x=1[/tex].
I couldn't read Number 2 fully - I'm sorry :c
Number 3:
Given the equation [tex]3(x+0.2)=2.2[/tex], we want to isolate x on one side.
To do this, we first apply the distributive property to the left side.
[tex]3x + 0.6 = 2.2[/tex]
Now subtract 0.6 from both sides:
[tex]3x=1.6[/tex]
And divide both sides by 3.
[tex]x=0.5\overline{3}[/tex]
This rounds to 0.53.
Hope this helped!
Answer:
B
28.78
A
Step-by-step explanation:
Equation
3x + 2 = 5x
The first step is to subtract 3x from both sides.
3x - 3x + 2 = 5x - 3x
2 = 2x
The next step is to divide by two. That's the 2 in front of the two x.
2/2 = 2x/2
1 = x
So the answer must be B
The others are just not done in the right order and give wrong answers.
==================
Sorry didn't see the other two.
================
problem 2
Janette
Total Cost 555.28
4 Tires (4*122.57) 488.28 (Subtract)
Installation 65.00
Monique
Total Cost 585.34
Tires (4*136.71) 546.84 (Subtract)
Installation 38.50
Difference 26.50 (Subtract from 65)
Problem 3
3(x + 0.2) = 2.2
3x + 0.6 = 2.2
3x + 0.6 - 0.6 = 2.2 - 0.6
3x = 1.6
x = 1.6/3
x = 0.53
This table represents the proportional relationship between the number of boxes and the number of magnetic cubes held by the boxes. Cubes Boxes Number of cubes 1 n 5 625 8 1,000 What is the unknown value representing the unit rate?
Answer:
125
explanation:
I took the 2020 mathematics edg test
Answer:
B) 125
Step-by-step explanation:
I took the quiz.
12=15(z-1/5) does anybody know how to solve this
Answer:
-15
Step-by-step explanation:
help pls. explain what that means. I
forgot so much I apologise.
Answer:
Your answer would Be A.
Step-by-step explanation:
Answer:
The answer is A
Step-by-step explanation:
i dont unsterstand irrational numbers
An irrational number cannot be expressed as a ratio between two numbers and it cannot be written as a simple fraction because there is not a finite number of numbers when written as a decimal. Instead, the numbers in the decimal would go on forever, without repeating.
Answer:
Irrational number does not terminate and do not repeat. I hope this can make you understand what does irrational number is. Hope it helps you
Step-by-step explanation:
You have $250 comma 000 in an IRA (Individual Retirement Account) at the time you retire. You have the option of investing this money in two funds: Fund A pays 2.4% annually and Fund B pays 7.4% annually. How should you divide your money between Fund A and Fund B to produce an annual interest income of $9 comma 000?
Answer:
$190,000 goes to fund A while $60,000 goes to fund B to earn an annual interest income of $9,000
Step-by-step explanation:
Here, we are interested in knowing the way the money should be divided between the interest rates to give an annual interest totaling $9,000.
Let’s have the amount going to Fund A as $x while $y is the amount going to Fund B.
Although, we do not know the value of these amounts, we know that they both total $250,000
Thus, mathematically;
x + y = 250,000 •••••••••••(i)
Now also, let’s work with the percentages to get the interests:
For fund A;
2.4% of x = interest
2.4/100 * x = 2.4x/100
For fund B;
7.4% * y = interest
7.4/100 * y = interest
7.4y/100 = interest
Adding both gives a total of $9,000
Mathematically, that would be;
2.4x/100 + 7.4y/100 = 9,000
Multiply through by 100;
2.4x + 7.4y = 900,000 •••••••(ii)
From i, x = 250,000 -y
Substitute this into ii
2.4(250,000-y) + 7.4y = 900,000
600,000 -2.4y + 7.4y = 900,000
Collecting like terms, we have;
7.4y-2.4y = 900,000-600,000
5y = 300,000
y = 300,000/5
y = $60,000
But x = 250,000 - y
x = 250,000 - 60,000
x = $190,000
David flips a coin and rolls a standard number cube. Find the probability that the coin will show heads and the cube will show a three. Write the probability as a fraction in simplest form.
A square image of an object on a video game has an initial side length of 25 pixels. To make the object appear closer, the side length of the square is increased by 10 pixels per second. This length change is represented by the function s(t) = 25 + 10t, where t is time in seconds. If the area of the square is A(s) = sa, find the formula for the area as a function of time, and then determine A(s(3)). A(t) equals +2+ t + 625 The area of the square image after 3 seconds is square pixels.
Answer: A(t) = 100t^2 + 500t + 625
3,025 square pixels
Step-by-step explanation:
A function assigns the values. The area of the square image after 3 seconds is 3,025 sq. pixels.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
A.) The area of the video game will be,
A(s) = [s(t)]²
A(s) = (25+10t)²
A(s) = 625 + 100t² + 500t
A(s) = 100t² + 500t +625
B.) The value of A(s(3)) will be,
A(s(t)) = 100(25+10t)² + 500(25+10t) + 625
A(s(t)) = 10,000t² + 50,000t + 62,500 + 12,500 + 5,000t + 625
A(s(t)) = 10,000t² + 55,000t + 75,625
A(s(3)) = 10,000(3)² + 55,000(3) + 75,625
A(s(3)) = 270,000 + 165,000 + 75,625
A(s(3)) = 510,625
The area of the square image after 3 seconds is,
A(s) = 100t² + 500t +625
A(3) = 100(3)² + 500(3) +625
A(3) = 900 + 1500 +625
A(3) = 3,025
Hence, The area of the square image after 3 seconds is 3,025 sq. pixels.
Learn more about Function:
https://brainly.com/question/5245372
#SPJ2
What is the value of the expression below when y=6y=6? y^2 -5y-4 y 2 −5y−4
Answer:
2
Step-by-step explanation:
Given expression:
y^2 - 5y - 4
y = 6
Substitute y = 6 into the expression
y^2 - 5y - 4
6^2 - 5(6) - 4
(6*6) - (5*6) - 4
36 - 30 - 4
36 - 34
2
The value of the expression y^2 - 5y - 4 is 2 when y = 6
what is the expression of “the sum of n and the sum of 8 and 6?”
Answer:
n+8+6
Sum means = and and means + so n+8+6
What is the degree for this polynomial 4ry2 + 3x
5
Answer:
I hope your question is 4x²+3x+5, then the degree of this polynomial is 2
Help please | | | This is geometry by the way
Answer:
21). WX = 10
22). VW = 22
23). WY = 20
24). VX = 32
25). WZ = 30
26). VY = 42
Step-by-step explanation:
In the figure attached,
V, W, X, Y and Z are collinear.
VZ = 52, XZ = 20 and WX = XY = YZ
21). Since XZ = 20
XY + YZ = 20
WX + WX = 20 [Since, XY = WX = YZ]
2(WX) = 20
WX = 10
22). VZ = VW + WX + XY + YZ = 52
VW + 3(YZ) = 52 [Since, WX = XY = YZ]
VW + [tex]3(\frac{XZ}{2})[/tex] = 52
VW + [tex]\frac{3}{2}\times 20[/tex] = 52
VW = 52 - 30 = 22
23). WY = WX + XY
= 2(WX)
= 20
24). VX = VW + WX
= 22 + 10
= 32
25). WZ = 3(WX)
= 30
26). VY = VZ - YZ
= 52 - 10
= 42
The diagram shows the amount of fabric that Christine needs to make 1 tablecloth, including the fabric that will hang over the sides. The fabric costs $1.50 per square foot. Christine plans to make 1 tablecloth for each of the 4 seasons of the year. What is the total cost of the fabric that Christine needs for the tablecloths?
what diagram?? I would multiply 1.50 by 4 then multiply 6.00 by the total surface area to get the total cost.
2/3c=18 what does c equal to
Answer: 27
Step-by-step explanation:
Answer:
c = 27
Step-by-step explanation:
Solve for c:
(2 c)/3 = 18
Hint: | Multiply both sides by a constant to simplify the equation.
Multiply both sides of (2 c)/3 = 18 by 3/2:
(3×2 c)/(2×3) = 3/2×18
Hint: | Express 3/2×2/3 as a single fraction.
3/2×2/3 = (3×2)/(2×3):
(3×2)/(2×3) c = 3/2×18
Hint: | Express 3/2×18 as a single fraction.
3/2×18 = (3×18)/2:
(3×2 c)/(2×3) = (3×18)/2
Hint: | Cancel common terms in the numerator and denominator of (3×2 c)/(2×3).
(3×2 c)/(2×3) = (2×3)/(2×3)×c = c:
c = (3×18)/2
Hint: | In (3×18)/2, divide 18 in the numerator by 2 in the denominator.
18/2 = (2×9)/2 = 9:
c = 3×9
Hint: | Multiply 3 and 9 together.
3×9 = 27:
Answer: c = 27
It also says “what is located 5 units from point M”
Answer:
[tex]\Large \boxed{\mathrm{Point \ C}}[/tex]
Step-by-step explanation:
Point C is located 5 units from points M.
Point C : (-1, 6)
Point M : (-6, 6)
Distance between two points:
[tex]d=\sqrt{(x_2-x_1)^2 +(y_2-y_1)^2 }[/tex]
[tex]d=\sqrt{(-6-(-1))^2 +(6-6)^2 }[/tex]
[tex]d=\sqrt{(-5)^2 +(0)^2 }[/tex]
[tex]d = \sqrt{25} =5[/tex]
The distance between Point C and point M is 5 units.
Answer:point B
Step-by-step explanation:
A car accelerates from 0 to 75 km/hr in 8 s. What is the car’s acceleration?
The acceleration formula is [tex]a=\frac{v-v_0}{t}[/tex]
Plug in the values we know.
[tex]a=\frac{75-0}{8}[/tex]
[tex]a=\frac{75}{8}[/tex]
[tex]a=9.375[/tex]
The car's acceleration is 9.375[tex]\frac{m}{s^2}[/tex]
First solve for x, then find ∡RQW. ∡WQP=139+x, ∡RQW=31+x & ∡RQP=152°
Answer:
[tex]x = -9[/tex]
[tex]RQW = 22[/tex]
Step-by-step explanation:
Given
[tex]WQP = 139 + x[/tex]
[tex]RQW = 31 + x[/tex]
[tex]RQP = 152[/tex]
Required
Determine x and WQP
From the attachment;
[tex]RQP = RQW + WQP[/tex]
Substitute 152 for RQP, 31 + x for RQW, 139 + x for WQP
[tex]152 = 31 + x + 139 + x[/tex]
Collect Like Terms
[tex]152 - 31 - 139 = x + x[/tex]
[tex]-18 = 2x[/tex]
Divide both sides by 2
[tex]\frac{-18}{2} = x[/tex]
[tex]x = -9[/tex]
To solve for RQW; substitute -9 for x in RQW = 31 + x
[tex]RQW = 31 + (-9)[/tex]
[tex]RQW = 31 -9[/tex]
[tex]RQW = 22[/tex]