Answer:
[tex]y = \frac{x}{36}[/tex]
Step-by-step explanation:
Given
Length of string = x inches
Required
Determine the length in yards
Represent the equivalent length with y
Such that
[tex]y = x\ inches[/tex]
Divide x by 36 to get equivalent in yards
[tex]y = \frac{1}{36} * x[/tex]
[tex]y = \frac{x}{36}[/tex]
Hence, the equivalent in yards is [tex]\frac{x}{36}[/tex]
The expression should be [tex]x \div 36[/tex]
The calculation is as follows;Here we need to divide x by 36 so that the equivalent in yards could come
[tex]=\frac{1}{36} \times x\\\\ = \frac{x}{36} [/tex]
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What is the value of the expression below when w equals
8?
W^2- 4w - 2
Answer:
When w =8. then...
8^2-4(8)-2.
64-32-2=30.
Answer:
Step-by-step explanation:
Plug in the value of w in the expression and use PEMDAS
w² - 4w - 2 = 8² - 4*8 - 2 {Need to calculate exponents}
= 64 - 4*8 - 2 {Now do multiplication}
= 64 - 32 - 2
= 32 - 2
= 30
1. A man pushes a lawn mower with a force of 30 lb exerted at an angle of 30° to the ground. Find the
horizontal and vertical component of the force.
Answer:
3
Step-by-step explanation:
The horizontal component of the force is 25.98 lb and the vertical component is 15 lb.
What is vector?A vector quantity has both magnitude and direction. It is added using parallelogram law of addition.
The sum of two vector quantities is always a vector quantity.
The sum of two vector quantities can vary from their scalar difference to their scalar addition.
Given that,
The force applied by the man is 30 lb.
The angle the force makes with ground is 30°.
For a vector A making angle x with the horizontal axis the horizontal and vertical component are given as,
The horizontal component is ACos(x)
And, the vertical component is ASin(x)
Thus, the horizontal and vertical component of the force are
Horizontal component = 30Cos(30°)
= 30 × √3 / 2
= 25.98
Vertical component = 30Sin(30°)
= 30 × √3/2
= 15
Hence, the horizontal and vertical components of the force are 25.98 lb and 15 lb respectively.
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A theater company is considering raising the price of its tickets. It currently charges $8.50 for each ticket and sells an average of 200 tickets for
each show. The company estimates that for each $0.25 increase in the price of the ticket, the average ticket sales will go down by 5 people,
Which equation could the company solve to find the number of price increases it could make, x, and still have a revenue of $1,700?
OA. -1.25.12 - 7.50 = 0
OB -- 1.25:2 – 7.50 – 1,700 = 0
Ос. -1.252 + 7.50 = 0
OD. -1.25_2 + 7.53 – 1,700 = 0
Answer:
The answer is c.
Step-by-step explanation:
Equation which represents the company solve to find the number of price increases it could make, x, and still have a revenue of $1,700 is equals to [tex]-1.25x^{2} +7.5x=0[/tex].
What is equation?" Equation is defined as the relation between the variables with the sign of equality."
According to the question,
'x' represents the price of the ticket
Given,
Total revenue = $1700
Current charges = $8.50
Number of average tickets sells =200
Estimate in increase in the price of each ticket = $0.25
Average sales goes down by 5 people
From the given information we get the equation,
[tex](200-5x)(8.5+0.25x)=\$1700[/tex]
⇒[tex]1700 -42.5x+50x-1.25x^{2} =1700[/tex]
⇒[tex]-1.25x^{2} +7.5x=0[/tex]
Hence, the equation for the given condition is equals to [tex]-1.25x^{2} +7.5x=0[/tex]
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Plz help me I need so much help
Answer:
see below
Step-by-step explanation:
We have to assume that the question is referring to the doubly-shaded length, the one that is 10 bright blue units long.
You can read the overall length of the shaded area as 5/4, from the markings.
For the next part, you need to count the number of units that are shaded bright blue (10) and the number that are shaded blue overall (15). As a fraction of those shaded blue overall, the ones shaded bright blue are 10/15 = 2/3.
So, the length shaded bright blue is 2/3 of the overall length of 5/4. It is represented by the product ...
[tex]\boxed{\dfrac{2}{3}\times\dfrac{5}{4}}[/tex]
I need to know what 1/5(6+3+1). And whatever is in the parentheses is to the second power
Answer:
20
Step-by-step explanation:
1/5(6+3+1)^2
PEMDAS says parentheses first
1/5(10)^2
Then exponents
1/5 *100
Then multiply
20
Answer:
[tex]\Huge \boxed{\mathrm{20}}[/tex]
Step-by-step explanation:
[tex]\Rightarrow \displaystyle \frac{1}{5} \cdot (6+3+1)^2[/tex]
Solve for the brackets or parenthesis first.
Adding the terms in the brackets or parenthesis.
[tex]\Rightarrow \displaystyle \frac{1}{5} \cdot (10)^2[/tex]
Solving for the exponent or power.
[tex]\Rightarrow \displaystyle \frac{1}{5} \cdot (100)[/tex]
Multiplying both terms.
[tex]\displaystyle \Rightarrow \frac{100}{5} \\ \\ \\ \\ \Rightarrow 20[/tex]
Write an expression to model the phrase:
Myles has $635 nd is earning $120 each
week as a lifeguard.
Answer:
[tex]Y= 120n+635[/tex]
Step-by-step explanation:
Alright!
we are expected to model the total amount of money Myles have\
firstly he has with him $635
and he is earning $120 weekly
Say the number of weeks he worked is given is n
and let the amount of money Myles will have after n weeks be y
hence we can now model the equation to represent how much Myles will have after n weeks
[tex]Y= 120n+635[/tex]
The expression is same as the equation for a straight line
i.e [tex]y= mx+c[/tex]
The temperature was 70 degrees. At noon, the temperature increased by 8 degrees. By evening, the temperature decreased by 8 degrees. What is the final temperature?
Answer:
The answer is 70 you would add the 8 degrees but them subtract it again
According to Euclidean geometry, a plane contains at least points that on the same line.
Answer:
According to Euclidean geometry,a plane contains at least THREE points that DO NOT LIE on the same line.
Step-by-step explanation:
Three non-collinear points (points not on a single line). A line and a point not on that line. Two distinct but intersecting lines.
According to Euclidean geometry, a plane contains at least; 3 Points
The 3 points; do not lie on the same line
In Euclidean Geometry, a plane is defined as a flat surface that extends infinitely in all directions. It further states that for any three non-collinear points, there exists exactly one plane passing through them.Now, planes can either be parallel or they can possibly intersect each other in a line and the three collinear points must not lie on the same lineIn conclusion, looking at the question we can say that a plane contains at least 3 points on the same line.
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(12x - 1.7) - (17x + 6.7) =
Answer:
-5x-8.14 is the correct answer
Step-by-step explanation:
First distribute the terms
12x - 1.7 - 17x -6.7 =
Then add/subtract similar terms
12x - 17x = -5x
-1.7 -6.7 = -8.14
so it's -5x -8.14
:)
Answer: -5x-8.4
Step-by-step explanation:
[tex]\left(12x-1.7\right)-\left(17x+6.7\right)[/tex]
remove the parentheses
[tex]12x-1.7-17x-6.7[/tex]
Simplify
Group like terms
[tex]12x-17x-1.7-6.7[/tex]
Add
[tex]12x-17x=-5x=[/tex]
[tex]-5x-1.7-6.7[/tex]
Subtract
[tex]-1.7-6.7=-8.4[/tex]
= [tex]-5x-8.4[/tex]
What is the range of h?
Answer:
-3 ≤y≤6
Step-by-step explanation:
The range is the output values or the y values
The y values go from -3 to 6 including these values
-3 ≤y≤6
Find the value of b. Then find the angle measures of the pentagon.
6
(b +45)
(2b - 90)
90°
Sum of angle
measures: 540°
The sum of angles in a shape is the addition of all angles in the shape. The value of b is 90.
From the attached pentagon, we have:
[tex]Sum = 540^o[/tex] -- sum of angles.
This means that:
[tex]Sum = b + \frac 32b + 2b - 90 + 90 + b + 45[/tex]
Collect like terms
[tex]Sum = b + \frac 32b + 2b + b- 90 + 90 + 45[/tex]
Evaluate like terms
[tex]Sum = \frac{11}2b +45[/tex]
Substitute 540 for sum
[tex]\frac{11}2b +45 = 540[/tex]
Collect like terms
[tex]\frac{11}2b =-45 + 540[/tex]
[tex]\frac{11}2b =495[/tex]
Isolate b
[tex]b =495 \times \frac 2{11}[/tex]
[tex]b =\frac {990}{11}[/tex]
[tex]b =90^o[/tex]
Hence, the value of b is 90.
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Evaluate the following expression, let a = -1, b = 3, and c = 0
10a
lla +4
Answer:-10,-7
Step-by-step explanation:
10*-1=-10
11*-1+4=-7
URGENT!
B is the midpoint of line segment AC. If AB = 4x + 1 and AC = 5x + 20, find the length of BC.
Answer: 25 units.
Step-by-step explanation:
Given: B is the midpoint of line segment AC.
[tex]\Rightarrow\ AB=\dfrac{AC}{2}[/tex]
If [tex]AB = 4x + 1[/tex] and [tex]AC = 5x + 20[/tex], then we have
[tex]4x+1=\dfrac{5x+20}{2}[/tex]
Multiply 2 on both sides, we get
[tex]2(4x+1)=5x+20\\\\\Rightarrow\ 8x+2=5x+20\\\\\Rightarrow\ 8x-5x=20-2\\\\\Rightarrow\ 3x=18\\\\\Rightarrow\ x= 6[/tex]
Now, AC = 5(6)+20 =30+20=50 units
Then, BC= [tex]\dfrac{50}{2}=25\text{ units}[/tex]
Hence, the length of BC is 25 units.
Question 7 (1 point) If square PQRS with vertices P (2, 6), Q (6, 5), R (5, 1) and S (1, 2) is rotated 180 degrees, what are the coordinates of S' ? Blank 1: Blank 2: Blank 3: Blank 4:
Answer:
S'(-1, -2)
Step-by-step explanation:
Coordinates of the vertices of the square PQRS have been given as P(2, 6), Q(6, 5), R(5, 1) and S(1, 2)
Rule to rotate a point by 180° about the origin,
(x, y) → (-x, -y)
By this rule new coordinates of the image will be,
P(2, 6) → P'(-2, -6)
Q(6, 5) → Q'(-6, -5)
R(5, 1) → R'(-5, -1)
S(1, 2) → S'(-1, -2)
Therefore, coordinates of S' will be (-1, -2).
Please help
Marcus went to the county fair, where he paid to enter and was charged for each ride. This is modeled by the expression 2x + 7. Identify and interpret the constant in the expression. Explain.
What does –5(–2) equal? I’ll give brainiest
Answer:
Um... positive ten.
Step-by-step explanation:
negative * negative= positive. So the answer is ten.
Answer:
10
Step-by-step explanation:
● -5 (-2)
● (-5) × (-2)
The product of two negative numbers is a positive number
● 5×2
● 10
(1+√3) (3-√3)
[tex]simplify[/tex]
Answer:
2√3
Step-by-step explanation:
Multiply these binomials in the usual way:
(1 +√3)(3 -√3) = 1(3 -√3) +√3(3 -√3)
= 3 -√3 +3√3 -3 = (3 -3) +√3(-1 +3)
= 2√3
e:f = 2:3 and f:g = 5:4 work our e:g
Answer:
5/6
Step-by-step explanation:
e/f = 2/3
Then
e= 2f/3
f/g = 5/4
Then
g= 4f/5
So
e/g= 2f/3 / 4f/5 = 1/3 * 5/2 = 5/6
Answer:
5/6
Step-by-step explanation:
e/f = 2/3 After that e= 2f/3 f/g = 5/4 So then g= 4f/5 at last
e/g= 2f/3 / 4f/5 = 1/3 x 5/2 = 5/6Hailey bought 10 chicken wings for $6. What was the cost of the wings in wings per dollar?
Paul and Karina both collect old Nintendo video games. Paul has 72 video games so far and is collecting four each month. Karina has 120 video games so far and is collecting two each month. After how many months will Paul and Karina have the same number of video games? How many video games will each have?
24 months
168 games
Step-by-step explanation:72 + 4m = 120 + 2m
4m - 2m = 120 - 72
2m = 48
m = 48 : 2
m = 24 months
After how many months will Paul and Karina have the same number of video games ?24 months
How many video games will each have ?72 + 4×24 = 72 + 96 = 168 games
120 + 2×24 = 120 + 48 = 168 games
Mrs.Ruiz bought 4 14 pounds of sliced of ham for $17. At that rate, what is the cost of 1 pound of sliced ham
Answer:
Cost of 1 pound if sliced ham = $4
Step-by-step explanation:
Mrs. Ruiz bought 4 1/4 pounds of sliced ham for $17. At that rate, what is the cost of 1 pound of sliced ham?
Total pounds of ham bought= 4 1/4 pounds
Total cost = $17
what is the cost of 1 pound of sliced ham
Cost of 1 pound if sliced ham = Total cost of 4 1/4 sliced ham / 4 1/4
= $17 ÷ 17/4
= 17 × 4/17
= 4
Note:4 1/4 = 17/4
Cost of 1 pound if sliced ham = $4
Check:
4 1/4 pounds × $4 per pound
= 17/4 × 4
= $17
Translate the sentence into an inequality.
A number y increased by 6 is less than or equal to - 15.
Answer:
y ≤ -21
Step-by-step explanation:
y+6≤-15
y≤-21
Hope this helps!
Answer: y + 6 <_ -15
- 6 -6
y <_ -21
decrease 216 by 37 1/2%
Step-by-step explanation:
In this question we need to decrease 216 by [tex]37\dfrac{1}{2}\%[/tex] or 37.5 %.
For this, firstly find 37.5 % of 216.
[tex]37.5\%\ \text{of}\ 216=\dfrac{37.5}{100}\times 216\\\\=81[/tex]
Now subtracting 81 from 216 to find decrease of 216 by 37.5 %.
So,
216-81 = 135
Hence, 135 is the decrease of 216 by 37.5 %.
The percentage decrease of 216 by 37 1/2% be is 135
Given:
Original value = 216
Percentage decrease = 37 ½%
Decrease = 37 ½% of 216
= 75/2 ÷ 100 × 216
= 37.5 / 100 × 216
= 0.375 × 216
= 81
New value = Original value - Decrease
= 216 - 81
= 135
Therefore, the percentage decrease of 216 by 37 1/2% be is 135
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There are two 3-digit numbers $n$ having the property that $n$ is divisible by 11 and $\dfrac{n}{11}$ is equal to the sum of the squares of the digits of $n$. Find both values of $n.$ You may submit them in either order.
Answer:
550 and 803
Step-by-step explanation:
Let the number be N = abc
Then:
abc/11 = (a² + b² + c²) ⇒ abc = 11(a² + b² + c²)There are:
1000 - 100 = 900 3-digit numbersOut of 900 numbers:
1000/11 - 100/11 = 81 are divisible by 11The easiest and simplest way is to try them all.
The trial reveals 550 and 803, so this is the answer.
Given A(1, 5) and B(3, 13), find AB.
[tex]\dag\bf\:A(x_1,y_1)=(1,5)[/tex]
[tex]\dag\bf\:B(x_2,y_2)=(3,13)[/tex]
We have to find distance between point A and point B[tex].[/tex]
[tex]\bigstar\:\boxed{\bf{AB=\sqrt{(x_2-x_1)^2+(y_2+y_1)^2}}}[/tex]
[tex]:\implies\tt\:AB=\sqrt{(3-1)^2+(13-5)^2}[/tex]
[tex]:\implies\tt\:AB=\sqrt{(2)^2+(8)^2}[/tex]
[tex]:\implies\tt\:AB=\sqrt{4+64}[/tex]
[tex]:\implies\tt\:AB=\sqrt{68}[/tex]
[tex]:\implies\tt\:AB=\sqrt{4(17)}[/tex]
[tex]:\implies\underline{\boxed{\bf{\red{AB=2\sqrt{17}\:unit}}}}[/tex]
A wheel with a radius of 19 meters is moving forward at 164.95 meters per second. How fast is the wheel rotating in radians per second?
Answer:
8.68 radians per second.
Step-by-step explanation:
The circumference of the wheel is 2 π r
= 38π meters.
So that is 164.95 / 38π of full turns of the wheel.
1 turn of the wheel = 2π radians , so the answer is
(164.95 / 38π) * 2π
= 164.95 / 19
= 8.68 radians per second.
If their is 17 boys and 16 girls what is the percent of girl in the class
Answer:
48.484848 repeating %
Step-by-step explanation:
The total number in the class is
17+16 = 33
Percent girls is girls/total = 16/33 =.48484848 = 48.484848 repeating %
∠A and ∠B are complementary angles. The measure of ∠A=4x° and the measure of ∠B=50°. Find m∠A. * i dont understand can someone help?
Answer:
m>a is 40
Step-by-step explanation:
4x + 50 = 90
4x = 40
x = 10
10*4 = 40
M>A = 40
You work at a craft store that sells paint kits. The kits have 4 thin paintbrushes for every 6 thick brushes. What is
ratio of thick paintbrushes to thin paintbrushes? a.2:3
b.3:2
c.2:4
d.6:10
e.10:6
Answer:
b. 3:2
Step-by-step explanation:
thick paintbrushes : thin paintbrushes
6 : 4 (both can be divide by 2,so we simplifiy by dividing both with 2)
3 : 2
The solution is Option B.
The ratio of thick paintbrushes to thin paintbrushes is 3 : 2
What is Proportion?
The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
Given data ,
Let the equation be represented as A
Now , the value of A is calculated as
Let the number of thin paintbrushes in the kit be = x
The value of x = 4
Let the number of thick paintbrushes in the kit be = y
The value of y = 6
Now , the proportion is given by
The ratio of thick paintbrushes to thin paintbrushes = number of thick paintbrushes in the kit / number of thin paintbrushes in the kit
Substituting the values in the equation , we get
The ratio of thick paintbrushes to thin paintbrushes = 6 / 4
The ratio of thick paintbrushes to thin paintbrushes = 3 / 2
The ratio of thick paintbrushes to thin paintbrushes = 3 : 2
Therefore , the value of A is 3 / 2
Hence , the ratio of the paintbrushes is 3 : 2
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What are the coordinates of the point on the directed line segment from (-3, -9) to (4,5)
Answer:
(2, 1 )
Step-by-step explanation:
Using the Section formula
For endpoints (x₁, y₁ ) and (x₂, y₂ ) partitioned in the ratio m : n
Then coordinates of point are
[ [tex]\frac{mx_{2}+nx_{1} }{m+n}[/tex] , [tex]\frac{my_{2}+ny_{1} }{m+n}[/tex] ]
Here m = 5, n = 2, (x₁, y₁ ) = (- 3, - 9), (x₂, y₂ ) = (4, 5), thus partitioned point
= [ [tex]\frac{5(4)+2(-3)}{5+2}[/tex] , [tex]\frac{5(5)+2(-9)}{5+2}[/tex] ]
= [ [tex]\frac{20-6}{7}[/tex] , [tex]\frac{25-18}{7}[/tex] ]
= ( [tex]\frac{14}{7}[/tex] , [tex]\frac{7}{7}[/tex] )
= (2, 1 )