Answer:
1 and 1/4
Step-by-step explanation:
A triangular playground has sides that are lengths 2x feet, x-1 feet and x feet. If the perimeter of this playground is 27 feet, what are the
lengths of each side of the playground?
Answer:
The lengths of the sides of the playground are 14 feet, 6 feet, 7 feet
Step-by-step explanation:
At first, let us find the perimeter of the playground
∵ Perimeter of a triangle is P = S1 + S2 + S3
∵ The sides of the triangular playground are (2x) ft, (x - 1) ft, and x ft
∴ S1 = 2x, S2 = x - 1, S3 = x
→ Substitute them in the rule of the perimeter above
∵ P = 2x + x - 1 + x
→ Add the like terms
∴ P = (2x + x + x) - 1
∴ P = 4x - 1
∵ The perimeter of this playground is 27 feet
∴ P = 27
→ Equate the two values of P
∴ 4x - 1 = 27
→ Add 1 to both sides
∴ 4x - 1 + 1 = 27 + 1
∴ 4x = 28
→ Divide both sides by 4
∵ [tex]\frac{4x}{4}[/tex] = [tex]\frac{28}{4}[/tex]
∴ x = 7
→ Substitute the value of x in each side to find their lengths
∵ S1 = 2(7)
∴ S1 = 14 feet
∵ S2 = 7 - 1
∴ S2 = 6 feet
∵ S3 = 7 feet
∴ The lengths of the sides of the playground are 14 feet, 6 feet, 7 feet
What decimal place value is .09 in?? Please
Answer:
hundresths is correct
Answer:
Step-by-step explanation:
.09 the 9 is hundredth place the 0 is tenth place
If you use 2 cups of sugar for every 3 cups of lemon juice how many cups of sugar do you need for 9 cups of juice
Answer:
6 cups of lemon juice
Step-by-step explanation:
Erin has quarters and nickels for a total of 16 coins. The value of his coins is $2.60. Let represent the number of quarters and y represent the number of nickels
Note: Consider we need to find each type of coins he has.
Given:
Erin has quarters and nickels for a total of 16 coins.
The value of his coins is $2.60.
To find:
The number of each type of coins.
Solution:
Let x represent the number of quarters and y represent the number of nickels.
According to the question,
Total coins : [tex]x+y=16[/tex] ...(i)
Total value : [tex]0.25x+0.05y=2.60[/tex] ...(ii)
Multiply equation (i) by 0.25 and subtract the result from (ii).
[tex]0.25x+0.05y-0.25(x+y)=2.60-0.25(16)[/tex]
[tex]0.25x+0.05y-0.25x-0.25y=2.60-4[/tex]
[tex]-0.20y=-1.40[/tex]
Divide both sides by -0.20.
[tex]y=7[/tex]
Put y=7 in (i).
[tex]x+7=16[/tex]
[tex]x=16-7[/tex]
[tex]x=9[/tex]
Therefore, the number of quarters is 9 and number of nickels is 7.
What is the result of 5 divided by one-fifth? 5 fraction bars. Each bar is labeled 1 with 5 boxes labeled one-fifth underneath. StartFraction 1 Over 25 EndFraction One-fifth 1 25
Answer:
25
Step-by-step explanation:
Answer:
it is 25
Step-by-step explanation:
Write the slope-intercept form of the equation of the line that passes through the given points.
(1, 1) and (-3, -3)
Answer:
Slope=1
Step-by-step explanation:
Slope=y1-y2/x1-x2
Where x1,y1= (1, 1) and X2,y2=(-3, -3)
Slop=1+3/1+4
=4/4
=1
So the slope is 1.
Answer:
1
Step-by-step explanation:
Here,
x₁ = 1 and x₂ = (-3)
y₁ = 1 and y₂ = (-3)
Now,
Slope
= y₁ - y₂ ÷ x₁ - x₂
= ( 1 ) - (- 3) ÷ ( 1 ) - (- 3)
= 1 + 3 ÷ 1 + 3
= 4 ÷ 4 = 1
Thus, Slope is 1
-TheUnknownScientist
see the image bellow please help 30 points
Find f(3) if f(x) = 4x - 10
Multiple choice -
I’ll appreciate it if someone helps
Answer:
2
Step-by-step explanation:
given f(x) = 4x-10
to find f(3), we simply substitute x = 3 into the function:
f(x) = 4x-10
f(3) = 4(3)-10
= 12-10
= 2
Answer:
2
Step-by-step explanation:
Since f(3), replace all the x's with 3s
f(3) = 4(3) - 10
536-248 answer and show your work
Answer:
288
Step-by-step explanation:
288+248=536
Is 3/4 is a constant or variable or both
Answer:
Constant
Step-by-step explanation:
It cannot be a variable because there is no variable. Variables are x,y, z and etc.
Answer:
The answer is constant, variables are letters that are added to numeral like terms.
Step-by-step explanation:
The graph shows a relationship between the size of 18 households and the average amount of time, in hours, each member of the household spends on chores per week. Which equation best models this data set?
A. y = 0.34x + 5.19
B. y = -0.34x - 5.19
C. y = 0.34x - 5.19
D. y = -0.34x + 5.19
Answer:
Option (D)
Step-by-step explanation:
Equation to represent the household expenditure per week will be in the form of,
y = mx + b
Where m = slope of the line
b = y-intercept
From the graph attached,
Since, line of best fit touches the positive side of the y-axis, y-intercept will be positive.
Since, y-values on the graph are decreasing with the increase in the x-values,
Slope of the graph will be negative.
[Slope = [tex]\frac{\text{Rise}}{\text{Run}}[/tex], Since rise of the line is negative and run is positive, slope will be negative]
By these properties equation of the linear graph will be,
y = -0.34x + 5.19
Option (D) will be the correct option.
The equation that best models this data set is y = -0.34x + 5.19
A linear equation is in the form:
y = mx + b
where y, x are variables, m is the slope of the line and b is the y intercept.
Let y represent the time spent on chores for x household members.
From the graph, the line passes through (3, 4.25) and (8, 2.5). Hence:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-4.25=\frac{2.5-4.25}{8-3}(x-3) \\\\y-4.25=-0.35(x-3)\\\\y=-0.34x+5.2[/tex]
The equation that best models this data set is y = -0.34x + 5.19
Find out more at: https://brainly.com/question/13911928
A grocery store sold 250 pounds of fruit in May. This is 5 times more than it sold in January. How many pounds of fruit did the grocery store sell in January?
Answer:
50 pounds of fruits sold January
Step-by-step explanation:
5X = 250
divude both sides by 5 to get x
x = 50
If sin tetha=root3/2, what is cos tetha?
Answer:
The value of cos Ф is ± [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
There are important rules for sin Ф and cos Ф
sin²Ф + cos²Ф = 1sin²Ф = 1 - cos²Фcos²Ф = 1 - sin²Ф∵ sin Ф = [tex]\frac{\sqrt{3}}{2}[/tex]
∴ sin²Ф = [tex](\frac{\sqrt{3}}{2})^{2}[/tex]
∴ sin²Ф = [tex]\frac{3}{4}[/tex]
→ By using the third rule above
∵ cos²Ф = 1 - sin²Ф
∴ cos²Ф = 1 - [tex]\frac{3}{4}[/tex]
∴ cos²Ф = [tex]\frac{1}{4}[/tex]
→ Take square root for both sides
∴ cos Ф = ± [tex]\frac{1}{2}[/tex]
∴ The value of cos Ф is ± [tex]\frac{1}{2}[/tex]
Someone help me please
Find the measure of 0.(to the nearest tenth)
Answer:
Y
Step-by-step explanation:
Yes
HELP HELP HELP first to actually help = brainliest
Answer:
Y = 3/5x + 2
Step-by-step explanation:
Answer:
[tex]y=\frac{3}{5} x+2[/tex]
Which expression shows 0.027 written in expanded form?
A
(2 x 10) + (7 X 1)
B.
(0 + 2 + 7) X 0.001
С
(2 x 0.1) + (7 x 0.01)
D
(2 x 0,01) + (7 % 0,001)
Answer:
D. (2 x 0,01) + (7 % 0,001)
Answer:
jhghgfg
Step-by-step explanation:
a gold mine extracted 500,000 ounces. gold is priced at present time at $460 per ounce. the mine holds gold for 3 years. if inflation (for gold) is 5.17% per year, how much money will they receive for selling in 3 years all 500,000 ounces in actual dollars
Answer:
$267,536,000Step-by-step explanation:
Step one:
given data
total ounces=500,000
cost per ounce= $460
total amount of the ounce= 500,000*460= $230000000
Time t=3years
rate= 5.17%= 0.0517
Step two:
The inflation we have a compounding effect on the amount
$230000000
A=P(1+r)^t
A=230000000(1+0.0517)^3
A=230000000(1.0517)^3
A=230000000*1.1632
A=$267,536,000
They will receive a total of $267,536,000
Delilah does 184 jumping jacks in 4 minutes. She does her jumping jacks at a constant rate.
How many jumping jacks can Delilah do per minute?
Answer:
46 jumping jacks per minute
Step-by-step explanation:
184/4= 46
Answer:
she did 46 jumping jacks per minute
Step-by-step explanation:
Jasmine bought 3 chocolates for Dhs.12.34 and her brother Alan bought 2 packets of biscuits for Dhs 3.5 each. How much they paid in total?
Answer:
$39.02
Step-by-step explanation:
$12.34 *3=37.02
$3.5*2=7
37.02+7=39.02
2.6x 0.47 pls show your work I need help
Answer:
2.6 x 0.47 = 1.222
Step-by-step explanation:
A simple "Pick-3" lottery consists of players picking three digits from 0 to 9 with repeats allowed. It costs
$1 to play, and a player wins $500 if they match all three numbers drawn. Jaime decides to buy 10 tickets
to improve their chances of winning,
The table below displays the probability distribution of X the amount of money Jaime profits from this
strategy
Win
Lose
--$10
X = profit $490
P(X)
1%
99%
Given that px = -$5, calculate ox.
Round your answer to two decimal places.
σX
dollars
Show Calculator
Answer:49.75 dollars
Step-by-step explanation:
Khan academy
what is the value of x in 9/5 x = 2/3
Answer:
x = 10/27
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
9/5x = 2/3
Step 2: Solve for x
Divide both sides by 9/5: x = 10/27Step 3: Check
Plug in x to verify it's a solution.
Substitute: 9/5(10/27) = 2/3Multiply: 90/135 = 2/3Simplify: 2/3 = 2/3And we have our final answer!
Answer:
x = 10/27
Step-by-step explanation:
2/3 ÷ 9/5
2/3 x 5/9 = 10/27
intercept from the lines
Answer:
I mean tbh its pretty easy
The y intercept is: (0, 2.5)
The x-intercept is: (3.5,0)
just look at the graph lol but if im
wrong sorry
A baker made 30 pastries in 2 1/2 hours. how many pastries did the baker make in one hour?
Answer:
12 pastries
Step-by-step explanation:
30/2.5 = 12
check:
12(1 hour) +12(1 hour) +6(Half hour) = 30
What is the distance between A and B on the number line below?
On a number line, point A is at 2.15 and point B is at 2.7.
0.55
0.65
2.48
4.85
Answer:
0.55
Step-by-step explanation:
all you do is subtract
A medical statistician wants to estimate the average weight loss of people who are on a new diet plan. In a preliminary study, he guesses that the standard deviation of the population of weight losses is about 10 pounds. How large a sample should he take to estimate the mean weight loss to within 2 pounds, with 90% confidence?
Answer:
68
Step-by-step explanation:
To get the sample size of the population, we will use the formula for calculating the standard error of the mean. This is expressed as;
SE = zσ/√n
z is the z score at 90% confidence
σ is the standard deviation
n is the sample size
SE is the mean weight loss
Given
z = 1.645
σ = 10
SE = 2
Required
sample size n
Substitute into the given equation;
SE = zσ/√n
2 = (1.645)(10)/√n
2 = 16.45/√n
√n = 16.45/2
√n = 8.225
n = (8.225)²
n = 67.650625
Hence the total sample should be about 68
A 7-foot piece of cotton cloth costs $7.56. What is the price per inch?
Answer:
$.09 per inch
Step-by-step explanation:
1 foot = 12 inches
Multiply each side by 7
7 ft = 12*7 = 84 inches
Take the cost and divide by the number of inches
$7.56 / 84 inches
$.09 per inch
Answer: 0.09 per inch because multiply that by 12 and thats a foot and multiply that by 7 and you'll get 7.56
Step-by-step explanation:
Which are the vertically opposite angles?
Which are the supplementary angles?
Which are the adjacent angles?
M is the midpoint of RS. R has coordinates (-2,-3) and M has coordinates (1,0). Find the coordinates of S.
Answer:
[tex](4,3)[/tex]
Step-by-step explanation:
Given
[tex]R = (-2,-3)[/tex]
[tex]M = (1,0)[/tex]
Required
Determine the coordinates of S
Midpoint is calculated as:
[tex]M(x,y) = \frac{1}{2}(x_1 +x_2,y_1+y_2)[/tex]
Where:
[tex](x,y) = (1,0)[/tex]
[tex](x_1,y_1) = (-2,-3)[/tex]
Substitute these values in the above formula:
[tex](1,0) = \frac{1}{2}(-2 + x_2,-3+y_2)[/tex]
Multiply through by 2
[tex]2 * (1,0) = 2 * \frac{1}{2}(-2 + x_2,-3+y_2)[/tex]
[tex](2,0) = (-2 + x_2,-3+y_2)[/tex]
By direct comparison:
[tex]2 = -2 + x_2[/tex] and [tex]0 = -3 + y_2[/tex]
Solving for x2
[tex]2 = -2 + x_2[/tex]
[tex]x_2 = 2 + 2[/tex]
[tex]x_2 = 4[/tex]
Solving for y2
[tex]0 = -3 + y_2[/tex]
[tex]y_2 = 0 + 3[/tex]
[tex]y_2 = 3[/tex]
Hence, the coordinates of S is: [tex](4,3)[/tex]
Can someone show an example of Inverses of Functions
Because I do not understand that subject
Answer:
I believe you mean algebra and inverses when you change it to solve inequalities.
Step-by-step explanation:
Let's use -3 + 4 as an example. In order to change the function, you will switch the sign. (In this case, we change "+" into ")
At this same time, you must change the sign in front of the numbers. (Positive signs become negative and negative signs become positive.
So, -3 + 4 is the same thing as 3 - -4.
3 - 4 = -1
-3 + 4 = 1
Tip: When subtracting a negative number, the answer is likely to go up instead of down.
I hope this helps! I did my best :)