Answer:
66.6(repeating)
Step-by-step explanation:
The ratio of the sides are 3:8.
The other pentagon's ratio is 25:x
To find the ratio, you need to divide 25 by 3 and then multiply that number to 8, which gets you 66.6 repeating
At Open Skate Night, admission is $3.75 with a membership card and $5.00 without a membership card. Skate rentals are $3.00. The Moores paid $6 more for skate rentals than the Cotters did. Together, the two families paid $42 for skate rentals. How many pairs of skates did the Moores rent? The Moores rented 9 pairs of skates.
Answer: 8 skates
Step-by-step explanation:
Given that:
Skate rental = $3
Let number of skates rented by cotters = x
Hence, amount paid by cotters = 3x
The Moores paid $6 more
Moores amount = 3x + 6
Combined amount paid = 42
3x + 3x + 6 = 42
6x + 6 = 42
6x = 42 - 6
6x = 36
x = 36 / 6
x = 6
Hence, amount spent by the Moore's:
3x + 6
3(6) + 6 = 18 + 6 = $24
Cost per skate rental = $3
Hence x number of skates rented by the Moore's = $24 / 3 = 8 skates
3. Jackson answered 80o of the questions on his Science test correctly. Colton scored 10
out of 12. Who scored the highest score?
Answer:
i think they both scored the same
Answer:
Colton did.
Step-by-step explanation:
Jack's score was 80%.
Colton got a score of 83.33...
I got Colton's score by solving 10/12.
For the lunch special at a high school cafeteria, students can get either salad or french fries as a side order. The following table shows the number of each side order for the lunch specials purchased on one day, classified by the grade of the student
Grade 9
Grade 10
Grade 11
Grade 12
Total
Salad
37
34
21
28
120
83
71
57
37
248
French fries
Total
120
105
78
65
368
From those who purchased the lunch special that day, one student will be selected at random. What is the probability that the student selected will be in grade 10 given that the student ordered
french fries as the side order?
A
71/368
B
105/368
C
71/245
D
245/308
Answer:
C 71/248
Step-by-step explanation:
College Board
The probability that the selected student will be be in grade 10 given that the student ordered French fries is 71/245
P(French fries n grade 10) = 71 Total who ordered French fries = 248The conditional probability can be defines thus :
Number in grade 10 who ordered French fries = 71Total number who ordered French fries = 245Hence,
P(grade 10 | French fries) = 71/245Learn more : https://brainly.com/question/18904995
Given a mean of 80 and a standard deviation of 3, label the normal curve below.
Answer:
The points from the left;
71, 74 , 77, 80, 83, 86 , 89
Step-by-step explanation:
Here, we want to label the normal curve given the mean and the standard deviation
From what we have, the central part is the mean while the other parts are deviations from the mean
We will label the graph starting from the left to the right
1 is 3 SD from the mean (negatively)
That will be 80-3(3) = 80-9 = 71
2 is 2 SD away
That will be;
80 -2(3) = 80-6 = 74
The 3rd part is 1 SD away
That will be 80-3 = 77
The midpoint is for the mean which is 80
The point after this will be;
80 + 3 = 83
The point after this will be;
83 + 3 = 86
Next is
86 + 3 = 89
Here is an inequality on a number line.
Let x= t+2 and y= t² Write an equation for y in terms of only X
Answer:
[tex] y = {x}^{2} - 4x + 4[ /tex]
Step-by-step explanation:
[tex] x = t + 2 \\
\implies \: x - 2 = t....(1) \\
y = {t}^{2} ....(2) \\
plug \: t = x - 2 \: in \: equation \: (2) \\
y = {(x - 2)}^{2} \\
\red{ \bold{ y = {x}^{2} - 4x + 4}}[/tex]
PLEASE HELP!!!! WILL GIVE BRAIN I PROMISE.
Answer:
No, they are not inverses.
Step-by-step explanation:
To find out if this are inverses we will have to switch the x and y in one of the equations. Let's do it with the second equation:
(Remember that f(x)/g(x) and y are virtually the same)
y = -4x + 2
Switch x and y
x = -4y + 2
Now solve for y
x - 2 = -4y
[tex]-\frac{x}{4} + \frac{2}{4} = y\\-\frac{x}{4} + \frac{1}{2} = y[/tex]
Therefore, the 2 functions in the question are not inverses of each other because the actual inverse has a negative in front of the -x/4.
I hope this helps!!
- Kay :)
When the sum of a number, n, and 6 is divided by 4 the
result is equal to 5. Set up and solve an equation to find
the value of n.
Answer:
n = 14
Step-by-step explanation:
(n + 6)4 = 5
1. multiply by 4
n + 6 = 20
2. substract 6
n = 14
The required value of n is 14 in the given sum.
What is algebra?Algebra is the analysis of mathematical representations, while logic is the manipulation of those symbols.
We have been given that the sum of a number, n, and 6 is divided by 4 the result is equal to 5.
According to the given question, we can write the algebraic form would be as:
⇒ (n + 6)/4 = 5
Apply the cross-multiplication operation,
⇒ (n + 6) = 5 × 4
Apply the multiplication operation,
⇒ (n + 6) = 20
⇒ n = 20 - 6
Apply the subtraction operation,
⇒ n = 14
Therefore, the required value of n is 14.
To learn more about the Algebra link is given below.
brainly.com/question/953809
#SPJ2
You started saving for a car when you were in middle school. You have done some research and discovered that it will cost you about $15,000 for a used car that would fit your needs. You were encouraged to invest some of your savings to help you get to your financial goal faster. So far you have saved $10,000. If you invest this money in a savings account with a 3% interest rate compounded annually, how long will it take to earn enough money to go purchase the car? Use the compound interest formula A = P (1 + i)n, where A is the accumulated amount, P is the principal, i is the interest rate per year, and n is the number of years.
Answer:
=> $2,833.47
Step-by-step explanation:
n = [lnA - lnP] / ln(1 + i)
n = [ln15000 - ln10000] / ln(1 + 0.03)
n = [9.6158 - 9.2103] / 0.0296
n = 13.70
13 years, 8 months and 12 Days
P = A / [(1 + i)n]
P = 15000 / [(1.03)4]
P = 15000 / 1.1255
P = $13,327.31
A = 10000 (1 + 0.04)5
A = $12,166.53
The amount of money you need to save to buy a car at $15,000 would be;
$15,000 - $12,166.53
=> $2,833.47
Find the equation of the line that passes through the given points. Write the equation in slope-intercept form.
(-2,-4) and (-4,-3)
Step-by-step explanation:
m=(y1-y)/(x1-x2)
m=(3-(-4))/(-4-(-2))
m=7/-2=-7/2
y=mx+c
y=-7/2x+c
What is the perimeter of the shape below?
Answer:
what are the units?
Step-by-step explanation:
depends on the side of 1 square
if it is 1 unit, perimeter is 22 units
While on a business trip to Belleville, Cindy treated her co-workers to a meal that cost $2.86. Cindy knew that when the bill came, she would need to pay Belleville sales tax of 15% and would want to leave an 18% tip on the original $2.86. Including tax and tip, how much did Cindy's meal cost?
Answer:
i think about $3.80
Step-by-step explanation:
For what value of k, the zeroes of x2 + kx + 12 will differ by 1?
Let a and b be the zeroes of x² + kx + 12 such that |a - b| = 1.
By the factor theorem, we can write the quadratic in terms of its zeroes as
x² + kx + 12 = (x - a) (x - b)
Expand the right side and equate the coefficients:
x² + kx + 12 = x² - (a + b) x + ab
Then
a + b = -k
ab = 12
The condition that |a - b| = 1 has two cases, so without loss of generality assume a > b, so that |a - b| = a - b.
Then if a - b = 1, we get b = a - 1. Substitute this into the equations above and solve for k :
a + (a - 1) = -k → 2a = 1 - k → a = (1 - k)/2
a (a - 1) = 12 → (1 - k)/2 • ((1 - k)/2 - 1) = 12
→ (1 - k)²/4 - (1 - k)/2 = 12
→ (1 - k)² - 2 (1 - k) = 48
→ (1 - 2k + k²) - 2 (1 - k) = 48
→ k² - 1 = 48
→ k² = 49
→ k = ± √(49) = ±7
On a coordinate plane, an absolute value graph has a vertex at (negative 4, negative 10). Which equation represents the function graphed on the coordinate plane? g(x) = |x – 4| – 10 g(x) = |x + 4| – 10 g(x) = |x – 10| + 4 g(x) = |x + 10| – 4
Answer:
b or g(x) = |x + 4| – 10
Step-by-step explanation:
Answer:
B) g(x) = |x + 4| – 10
Hope This Helps!
Help for weather science
ILL GIVE BRAINLIEST AND LOTS OF POINTS
Find the percent of increase
6. from 44 to 66 7. from 6 to 6.5
Find the percent decrease. Where necessary round to the nearest tenth of a percent
8. from 56 to 36 9. from 72 to 18
Answer:
6. 33% increase
Step-by-step explanation:
Equation of increase/decrease: (Final value-initial value)÷(Initial Value)
6. (66-44)÷(66)=0.33
-Multiply by 100 to get 33% increase
7. (6.5-6)÷(6)=0.083
-Round and multiply by 100 to get 8.0% increase
8. (56-36)÷(56)=0.357
Round and multiply by 100 to get 36% decrease
9. (72-18)÷72=0.75
Multiply by 100 to get 75% decrease
Answer:
from 44 to 66 7 from 6 to 6.5
1415.9090909091%
667 - 44
44
x 100% = 1415.9090909091%
8.3333333333%
6.5 - 6
6
x 100% = 8.3333333333%
i dont know the other one sorry :(
toni can carry up to 15 lbs in her backpack. her lunch weights 1 lb, her gym clothes weight 2 lb, and her books (b) weight 3 lb each. How many books can she carry in her backpack?
Answer:
4 books
Step-by-step explanation:
15-3=12
12/3=4
The subject of the formula is y
y = x - 5
Rearrange the formula to make x the subject.
Answer: x=y+5
Step-by-step explanation:
Add 5 to both sides:
y+5=x-5+5
y+5=x
Answer:
x=y+5
Step-by-step explanation:
y=x-5
move 5 to the other side of the equation we sign changes
y+5=x
rearanging makes
x=y+5
If I have an acid with a pH of 5 and an acid with a pH of 3 which is stronger and by how much? 5, by 10 times
3, by 100 times
3, by 10 times
Answer:
3, by 100 times
Step-by-step explanation:
a pH of 3 is ten times more acidic than a pH of 4. Likewise, a pH of 3 is one hundred times more acidic than a pH of 5.
Please help its almost due!!
Answer:
you have multiply 11 and 120
Please help please help please help please help please help please help look at the thingy pls help
Answer:
The slopes of line segments AC and AD are same or constant i.e [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
We need to find slopes of AC and AD and tell if they are same or not.
The formula used to calculate slope is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
Finding slope of AC
We have A=(3,2) and C=(0,1)
Finding slope using formula:
We have [tex]x_1=3, y_1=2, x_2=0,y_2=1[/tex]
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{1-2}{0-3}\\Slope=\frac{-1}{-3}\\Slope=\frac{1}{3}[/tex]
So, Slope of AC is [tex]\frac{1}{3}[/tex]
Finding slope of AD
We have A=(3,2) and C=(9,4)
Finding slope using formula:
We have [tex]x_1=3, y_1=2, x_2=9,y_2=4[/tex]
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{4-2}{9-3}\\Slope=\frac{2}{6}\\Slope=\frac{1}{3}[/tex]
So, Slope of AD is [tex]\frac{1}{3}[/tex]
So, the slopes of line segments AC and AD are same or constant i.e [tex]\frac{1}{3}[/tex]
Solve number 3 please :)
Answer/Step-by-step explanation:
Function A has a rate of change of 10 and function B has a rate of change of 5, so function A has a greater rate of change.
y = mx + b
The slope also known as rate of change is represented as the variable m in y = mx + b. So whatever number replacing m is the rate of change. In this problem 10 is the slope or rate of change.
In a graph, rate of change is determined by the rate in which the output is increasing or decreasing compared to the increase or decrease of the input. In this graph for every 1x added 5y is decreased. So, the rate of change is 5.
Simplify:
5x - 6x- 8x + 7
Answer:
-9x+7
Step-by-step explanation:
Kate and Nora each have a sum of money. The ratio of the amount of money Kate has to that of Nora is 3 : 5. After Nora gives $150 to Kate, the ratio of the amount of money Kate has to that of Nora becomes 7 : 9. Find the sum of money Kate had initially.
Answer:
900
Step-by-step explanation:
K N
3x 5x
3x+150:5x-150=7:9
3x+150/5x-150=7/9
9(3x+150)=7(5x-150)
27x+1350=35x-1050
27x-35x=-1050-1350
-8x=-2400
8x=2400
X=2400/8
X=300
Kate money 3x=3×300=900
Answer from abid58b
What is the value of 1 − 2sin^2(105°)?
A.) -√3/2
B.) -1/2
C.) 1/2
D.) √3/2
Answer:
a
Step-by-step explanation:
edge
Answer:
a
Step-by-step explanation:
edge
Write the ratio
2/3 /5
in simplest form
Answer:
A) 2/15
Step-by-step explanation:
So just divide it normally, do keep change flip
2/3*1/5
2/3 keep
divison change
Denomeinator, flip it, 5 to 1/5
now multiply
2/15
Determine whether the ordered pair is a solution of the linear inequality.
x ≤ 3; (–2, 6)
Answer:
[tex]x\le \:3\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:3\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:3]\end{bmatrix}[/tex]
Thus, -2 comes under the interval domain of the inequality (-∞, 3].
Hence, (-2, 6) is a solution to the linear inequality.
Step-by-step explanation:
Given the linear inequality
x ≤ 3
substitute the value of x = -2
-2 ≤ 3
TRUE
It is clear that -2 is indeed less than 3. Thus, the ordered pair (-2, 6) is a solution to the linear inequality.
Also,
[tex]x\le \:3\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:3\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:3]\end{bmatrix}[/tex]
Thus, -2 comes under the interval domain of the inequality (-∞, 3].
Hence, (-2, 6) is a solution to the linear inequality.
What is the oblique asymptote of g(x)= x^2-3x-5/x+2?
Answer:
excuse me these words are some other language
Answer:
It's y= x-5
Step-by-step explanation:
What is the answer???
Write the expression in simpliest form WILL MARK BRAINLIEST
8 ( -3x + 2)
−24x+16
Hope this helps!
Answer:
-24× + 16
Step-by-step explanation:
hope this helps :D