Answers
Step-by-step explanation:
1. x/3-2=6
x-6=18
x=18+6
x=24
2. x/5+1=5
x+5=25
x=25-5
x=20
Answer:
x = 24 , x = 20
Step-by-step explanation:
(a)
[tex]\frac{x}{3}[/tex] - 2 = 6 ( add 2 to both sides )
[tex]\frac{x}{3}[/tex] = 8 ( multiply both sides by 3 to clear the fraction )
x = 24
(b)
[tex]\frac{x}{5}[/tex] + 1 = 5 ( subtract 1 from both sides )
[tex]\frac{x}{5}[/tex] = 4 ( multiply both sides by 5 to clear the fraction )
x = 20
Related Questions
Jenna works a job where her pay varies directly with the number of hours she has worked. In one week, she worked 35 hours and made $274.75. How many hours would she need to work in order to earn $337.55?
Answers
337.55/7.85= 43 hours
what is the domain and range of {(3, 6, (5, 7), (7, 7), (8, 9)} ?
Answers
So, the domain is {3, 5, 7, 8}
So, the range is {6,7,7}
Explanation:
The domain is all the x-coordinates and the range is all the y-coordinates in any given point in the form (x, y).
£42 is shared equally between 3 friends.
How much does each friend get?
Answers
Given that £ 42 is distributed among 3 friends.
So, each will get
[tex] = 42 \div 3 \\ = £14[/tex]HELP ME PLEASEEEEEEEEEEEEEEEEEEEEEEEEE!!!
Answers
Answer:
Step-by-step explanation:
from the given information, I would say they are all false since congruent means they are identical in form, whereas these are similar parrellelograms since potentially if you upscaled one it would be close to the other
What is the relation between the sine and cosine values of angles in each quadrant? How would you use the 60° angle to find sine and cosine of 120°, 240°, and 300°? What angles could we find sine and cosine for using information for π/4 and π/6?
Answers
The angles, 60°, [tex]\displaystyle \frac{\pi}{4}[/tex] and [tex]\displaystyle \frac{\pi}{6}[/tex] are special angles that have known trigonometric ratio values.
First part;
The sine and cosine gives the coordinates of the tip of the radius of a unit circle as it rotates P(cos(θ), sin(θ))Second part;
With the knowledge of the sine and cosine of 60°, we have; sin(60°) = sin(120°), sin(240°) = -sin(60°), sin(300°) = -sin(60°)cos(120°) = -cos(60°), cos(240°) = -cos(60°), cos(300°) = cos(60°)Third part;
[tex]\displaystyle \frac{\pi}{4}[/tex] can be used to find the sine and cosine of [tex]\displaystyle \frac{3 \cdot \pi}{4}[/tex], [tex]\displaystyle \frac{5 \cdot \pi}{4}[/tex], and [tex]\displaystyle \frac{7 \cdot \pi}{4}[/tex] [tex]\displaystyle \frac{\pi}{6}[/tex], can be used to find the sine and cosine of [tex]\displaystyle \frac{5 \cdot \pi}{6}[/tex], [tex]\displaystyle \frac{7 \cdot \pi}{6}[/tex], and [tex]\displaystyle \frac{11 \cdot \pi}{6}[/tex]Reasons:
First Part;
Considering a unit circle with the center at the origin of the graph, we have;
The sine of the angle, θ, rotated by the radius is the vertical distance of a point P on the circle which is the location of the radius, from the horizontal axis.
The cosine of the angle, θ, is the horizontal distance of P from the vertical axis, such that we have;
The coordinates of point P = (cos(θ), sin(θ))
In the four quadrant, we have;
First Quadrant; All trigonometric ratios are positive
Second Quadrant; sine is positive
Third Quadrant; Tan is positive
Fourth Quadrant; Cosine is positive
Second part;
We have; At 120°, the point P is the same elevation from the horizontal axis, therefore;
sin(60°) = sin(120°) = 0.5·√3
However, the x-coordinate of the point P is in the negative direction, therefore, we get;
cos(120°) = -cos(60°) = -0.5
Similarly from the quadrant relationship, we have;
240° is in the third quadrant, and it is 60° below the negative horizontal line, therefore;
sin(240°) = -sin(60°) = -0.5·√3
cos(240°) = -cos(60°) = -0.5
300° is in the fourth quadrant, and it is 60° below the positive x-axis, therefore;
sin(300°) is negative and cos(300°) is positive
Which gives;
sin(300°) = -sin(60°) = -0.5·√3
cos(300°) = cos(60°) = 0.5
Third part;
[tex]\displaystyle \frac{\pi}{4} =45^{\circ}[/tex]
[tex]\displaystyle \frac{\pi}{6} =30^{\circ}[/tex]
The sine and cosine of 45° can be used to find the sine and cosine of (180° + 45°) = 225°, (360° - 45°) = 315°
Also, due to the mid location of the angle 45° on the quadrant, we have;
Another angles is the sines and cosine of (90° + 45°) = 135°
Therefore, [tex]\displaystyle \frac{\pi}{4}[/tex], can be used to find the sine and cosine of 135°, 225°, and 315°
[tex]\displaystyle 135^{\circ} = \mathbf{\frac{3 \cdot \pi}{4}}[/tex], [tex]\displaystyle 225^{\circ} = \frac{5 \cdot \pi}{4}[/tex], [tex]\displaystyle 315^{\circ} = \frac{7 \cdot \pi}{4}[/tex]
Therefore,
[tex]\displaystyle \frac{\pi}{4}[/tex] can be used to find the sine and cosine of [tex]\displaystyle \mathbf{\frac{3 \cdot \pi}{4}}[/tex], [tex]\displaystyle \mathbf{\frac{5 \cdot \pi}{4}}[/tex], and [tex]\displaystyle \mathbf{ \frac{7 \cdot \pi}{4}}[/tex]
Similarly, the sine and cosine of, [tex]\displaystyle \frac{\pi}{6}[/tex] = 30° can be used to find the sine and cosine of 150°, 210°, and 330°.
[tex]\displaystyle 150^{\circ} = \frac{5 \cdot \pi}{6}[/tex], [tex]\displaystyle 210^{\circ} = \frac{7 \cdot \pi}{6}[/tex], and [tex]\displaystyle 330^{\circ} = \frac{11 \cdot \pi}{6}[/tex]
[tex]\displaystyle \frac{\pi}{6}[/tex], can be used to find the sine and cosine of [tex]\displaystyle \mathbf{ \frac{5 \cdot \pi}{6}}[/tex], [tex]\displaystyle \mathbf{ \frac{7 \cdot \pi}{6}}[/tex], and [tex]\displaystyle \mathbf{\frac{11 \cdot \pi}{6}}[/tex]
Learn more about the sine and cosine of angles here:
https://brainly.com/question/4372174
Answer:
Step-by-step explanation:
The cosine value of an angle is the x coordinate of the point the angle corresponds to on the unit circle, and the sine value of an angle is the y coordinate of that point. 120, 240, and 300 all form 60 degree reference angles which in turn forms 30-60-90 triangles which help to find the sine and cosine of these corresponding angles. Pi/4 radians converts to 45 degrees which forms a 45-45-90 special triangle on the unit circle which has its own known trigonometric ratio. Pi/6 radians converts to 30 degrees which forms a 30-60-90 triangle on the unit circle which also has a known trigonometric ratio. These ratios help find the sine and cosine of the angles on the unit circle which corresponds to a point on the coordinate plane.
A square has sides of length 36.5 yards. What is the area?
Answers
Answer:
1332.25 yd²
Step-by-step explanation:
To find the area, you do length times width. Since it is a square and each side is 36.5, you do 36.5 * 36.5 to find the area.
36.5 * 36.5=1332.25
HELLPPP
I need help asappp
Answers
Answer:
(8,5)
Step-by-step explanation:
x=8
5*8-2y=30
40-2y=30 . subtract 40 from both sides
-2y=-10 . divide both sides by-2
y=5
Help please !!!!!!!!!!
Answers
Answer:
35.5225685536425675555
Answer:
67 and 82
Step-by-step explanation:
The values of Y are increasing by 15 everytime, so to find the fourth value we do 52+15 which equals to 67 and then to find the fifth value we do 67+15 which equals to 82. Hope this helps.
Please help with this !
Answers
Answer:
16 m
Step-by-step explanation:
12² + b² = 20²
I hope this helps!
Answer:
b = 16 m
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is
b² + 12² = 20²
b² + 144 = 400 ( subtract 144 from both sides )
b² = 256 ( take square root of both sides )
b = [tex]\sqrt{256}[/tex] = 16 m
Annika sells 6-inch pies for $5.00 and 8-inch pies for $9.00 each. Last week she sold twice as many 6 inch pies as she did 8-inch pies. She made $133.00 from her sales. Annika defined x as the number of 6 inch pies she sold and y as the number of 8-inch pies she sold. She wrote the system below.
6 x + 8 y = 133. 2 x = y.
Which statements about the system are true? Check all that apply.
1. Since the cost for each pie is $5 and $9, the first equation should be 5 x + 9 y = 133.
2. Since the 8-inch pies are 2 inches larger, the second equation should be x + 2 = y.
Since there are fewer 8-inch pies, the second equation should be x = 2 y to balance the values.
3. The first equation is correct because 6x represents the money earned for 6-inch pies and 8y represents the money earned for 8-inch pies.
Answers
Answer:
The number 3 is more accurate
Answer:
Since the cost for each pie is $5 and $9, the first equation should be 5x+9y=133
Since there are fewer 8-inch pies, the second equation should be x=2y to balance the values.
Step-by-step explanation:
What is the difference between the yearly wages of the highest paying job and lowest paying job, assuming Araceli will be paid for working 40 hours a week, 52 weeks a year
Answers
Answer:
Is there a picture?? I need a picture
Step-by-step explanation:
Identify the horizontal asymptote of f(x) =4x/7
y = 0
y = 2/3
y=1
No horizontal asymptote
Answers
Answer:
y = 1
Step-by-step explanation:
To find the Horizontal Asymptote, you have to look at the degree of the numerator and denominator.
[tex]h(x) = \frac{x^n}{x^m}[/tex]
If n < m, then y = 0If n = m, y = coefficient of [tex]x^n[/tex] divided by the coefficient of [tex]x^m[/tex]If n > m, then there is no Horizontal AsymptoteAlan draws the two triangles below.
Alan claims that the two triangles are similar. Which of the following methods could he use to prove his claim? Select TWO that apply.
A
show that all pairs of corresponding sides are congruent
B
show that the triangles are congruent, as all congruent triangles are similar
C
show that a sequence of rigid motions and dilations carries one triangle onto the other triangle
D
show that all pairs of corresponding angles are congruent and all corresponding sides are
Answers
Answer:
A & D
Step-by-step explanation:
Both use SSS to prove triangles congruent.
Therefore, if all three sides of two triangles are the same, then the triangles are said to be congruent. If we have a side, an angle between the sides, and then another side that is congruent, we know they are congruent. In other words, side, angle, side.
"If and only if the following two conditions are met, two triangles are congruent.
Three corresponding sides have the same value.
The measurements of the three related angles are all equal."
given instance,
Think about the triangles PQR and ABC.
If A = P, B = Q, and C = R
AB = PQ, BC = QR, and AC = PR as well.
If ABC and PQR are congruent triangles, then ABC PQR is the way to write it.
As a result, the following are true statements concerning congruent triangles:
The length of each of the three pairs of corresponding sides is the same.
The three pairs of comparable angles in each case are all of the same size.
To learn more about Congruent triangle refer to:
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PLEASE HELP
Timmy has a collection of 95 coins consisting of
dimes and nickels in his piggy bank. The total value of his
bank is $6.50. How many dimes are in his collection? How
many
nickels are in the collection?
Answers
Answer:
35 dimes and 60 nickels
Step-by-step explanation:
let d = # of dimes and n = # of nickels
We know that Timmy has a total of 95 coins, consisting of dimes and nickels
So d + n = 95
The total value of his bank is $6.50
A dime is worth $0.10 and a nickel is work $0.05
So 0.10d + 0.05n = $6.50
Note that we've just created a system of equations that we can solve
We have the two equations
0.10d + 0.05n = 6.50 and d + n = 95
There are many different methods we can use to solve this system but the easiest way in this situation is probably going to be the substitution method.
First we are going to want to rearrange the terms of the second equations so that one of the variables are defined.
d + n = 95
- subtract d from both sides -
n = 95 - d
We now defined "n"
Now that we have defined one of the variables we can plug in ( or substitute ) the value of it into the other equation. Once we substitute it we can solve for the other variable.
0.10d + 0.05n = 6.50
n = 95 - d
0.10d + 0.05(95 - d) = 6.50
we now solve for d
0.10d + 0.05(95 - d) = 6.50
step 1 distribute the 0.05
0.05 * 95 = 4.75 and 0.05 * -d = -0.05d
0.10d + 4.75 - 0.05d = 6.50
step 2 combine like terms 0.10d - 0.05d = 0.05d
0.05d + 4.75 = 6.50
step 3 subtract 4.75 from both sides
0.05d = 1.75
step 4 divide both sides by 0.05
0.05d / 0.05 = d and 1.75 / 0.05 = 35
d = 35
Now that we have found the value of one variable we can plug it into one of the equations and solve for the other variable ( note that the equation that we use does not matter, we will acquire the same answer )
d + n = 95
d = 35
35 + n = 95
subtract 35 from both sides
n = 60
We can conclude that he has 35 dimes and 60 nickels
(PLS HELP) The proportional relationship between the number of inches a candle has burned away, b, at any time in hours, t, can be represented by the equation b=1.75t. At what rate does the candle burn, in inches per hour?
Answers
Answer:
candle burns 1 inch every 1 3/4 hours or 1 inch every 1 hour, 45 minutes
Step-by-step explanation:
if powerades are $2.50 and nachos are $3 there was 38 items sold and the total price was $102.50 how many powerades and nachos were sold
Answers
Answer:
15 Nachos and 23 Powerades were sold.
Brainliest is appreciated. (The crown)
Please help it’s multiple choice! No links
Answers
Answer:
Option A, B, and D are true.
Explanation:
A coefficient is the number that is being multiplied by a variable. For example, in 7b, 7 would be the coefficient.
Terms are the numbers used in the equation. For example, in 3 + 2, 3 and 2 would be the terms.
3n and 5m are not coefficients as there are variables included. 3n and 5m are examples of a variable.
A constant is a number that is not multiplied by a variable. For example, in 8x + 3 + 2b, 3 would be the constant.
Hope this helped :)
I NEED HELP WITH MATH PLEASEEE??!
Answers
Answer:
y = -x +2
Step-by-step explanation:
The slope can be found from the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (6 -5)/(-4 -(-3)) = 1/-1 = -1
The y-intercept can be found from ...
b = y -mx
b = 5 -(-1)(-3) = 2
The slope-intercept equation for the line is ...
y = mx +b
y = -x +2 . . . . use the values of m and b we found
If x = 4 and y = -2, the value of 1/2 xy2 is
Answers
Answer:
8
Step-by-step explanation:
Substitute the given values into the expression
[tex]\frac{1}{2}[/tex] xy²
= [tex]\frac{1}{2}[/tex] × 4 × (- 2)²
= 2 × 4
= 8
5y-8(5y+2)=-(25y+46)
Answers
Multiply so there are no parentheses
5y-40y+16=-25y-46
Add 40y to both sides
5y+16=15y-46
Add 46 to both sides
5y+62=15y
Subtract 5y from both sides
62=10y
Divide both sides by 10
6.2=y
Palawbhehrht awnser yes or mo
Answers
Answer:
yes
Step-by-step explanation:
What is the slope of the line that passes through the pair of points?
(-7,8), (-4, 20)
0 -4
0.25
0.33
Answers
Answer:
4
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(20-8)/(-4-(-7))
m=12/(-4+7)
m=12/3
m=4
Which statement is correct?
Answers
Answer:
The domain of the graph is all real numbers less than or equal to 0.
Hope this helps! :D
2x + 3 for x=3
PLEASE I NEED A ANSWER
Answers
Answer:
9
Step-by-step explanation:
2 times 3 = 6
6+3=9
Richard's living room is 8 yards wide and 8 yards long. He wants to install pink carpet that costs $1.00 per square yard. How much will it cost to buy enough carpet for the living room?
Answers
Answer:
$64.00
Step-by-step explanation:
8x8=64 (64 yards)
64x1=64
It would cost 64 dollars to buy enough carpet for the living room.
Michaels test scores for this semester were 83,80,91,74,66,99,87,72,95,98. What was the median of his scores
Answers
Answer:
85
Step-by-step explanation:
Write the numbers in order
66, 72, 74, 80, 83, 87, 91, 95, 98, 99
Find the middle number
83 and 87 are in the middle, so find the mean of them. 83+87= 170
170/2 = 85.
Answer:
I added a little extra in case! Mark me brainleast
Step-by-step explanation:
Mean 84.5
Median 85
Mode 83, 80, 91, 74, 66, 99, 87, 72, 95, 98.
Range 33
Minimum 66
Maximum 99
75 basketballs cost $1,143.75. Find the cost of 26 basketballs.
Answers
Why are there certain question where you multiply to a power and some you don't. Like tree diagrams. This is for probability of compound events.
Answers
Compound probabilities that required AND use multiplication
How to determine the reason?The probability of compound events is of two types
The one that require ANDThe one that require ORAs a general rule, the AND probability require products
Take for instance
P(A and B) = P(A) and P(B)
This gives
P(A and B) = P(A) * P(B)
So, compound probabilities that required AND use multiplication
Read more about compound probabilities at:
https://brainly.com/question/1553768
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The Kim family just bought 7 crates of eggs, and each crate had 12 eggs. The family already had 9 eggs in their refrigerator. How many eggs do they have now?
Answers
Find the number of eggs in 7 crates:
1 crate = 12 eggs
7 crates = 12 x 7 = 84 eggs
Add the 8 eggs in their fridge:
84 + 8 = 92 eggs
Answer:
93
Step-by-step explanation:
7*12=84
84+9=93
Which of the following are solutions to the equation below?
Check all that apply.
(5x + 1)2 = 7
O A. x =
7-1
5
B. X=--
V6
5
O c. x=
x=
- 1
D. x=
67| ఈ
E. X=
-7
-1
5
OF. x=
-V7-1
5