Answer:
The answer should be (x + 9, y + 9)
Step-by-step explanation:
A regular pentagon is shown. A regular pentagon has side lengths of 9.4 centimeters and a radius of 8 centimeters. What is the length of the apothem, rounded to the nearest tenth?
Answer:
6.5 cm
Step-by-step explanation:
The computation of the length of the apothem is shown below:
Given that
The side length is 9.4 centimeters
And, the radius is 8 centimeters
Now based on the above information
As per the attached figure
AB = 8 cm
BC = 9.4 ÷ 2 = 4.7 cm
Now apply the pythagoras theorem
AB^2 = BC^2 + AC^2
8^2 = 4.7^2 + AC^2
AC^2 = 41.91
AC = 6.47 cm
= 6.5 cm
Answer: D). 6.5 cm
Step-by-step explanation:
4 granola bars are shared equally between 8 people. What fraction of a granola bar does each
Does person receive?
how do you solve for x: 2x/3 = 3x/5 - 1 ???
Answer:
x=-15
Step-by-step explanation:
2x/3=3x/5-1
10x=9x-15
10x-9x=-15
x=-15
you need to use the least common multiple which are 3,5
3. To pay back a loan, Lauren makes 7 payments, each in the same amount. Her cousin Hilary made 5 payments, each in the same amount. Each of Hilary’s payments was $15 more than each payment Lauren made. Both cousins paid the same amount in the end. How much did each cousin pay each time?
(a) Write an equation. Let x represent the amount of one of Lauren’s payments.
(b) Solve the equation. Show your work.
(c) Check your solution. Show your work.
(d) State the solution in complete sentences.
Answer:
The answer is C
Step-by-step explanation:
One third the sum of two numbers is 23.If one of the numbers is 29.3,what is the other number
What expression can you use to find 17 divided by 4/5?
A: 4/5 divided by 16
B: 16 divided by 5/4
C: 16 times 5/4
D: 4/5 times 16
Answer: B) 16 times 5/4
Step-by-step explanation:
16 divided by 4/5 = 20
16 x 5/4 = 20
When a whole number like 16 is divided by a fraction such as 4/5, you multiply it by the reciprocal (flipped version) of the fraction. What is the reciprocal of 4/5? It's 5/4. From there, you can solve each equation to make sure they are equivalent to check.
How to solve: 1/3 x 23,26 x 7
Answer:
54.27333333
Step-by-step explanation:
just put them all into a calculator and multiply them
1/3*23.26*7=54.27333333
Answer:
around 54.27
Step-by-step explanation:
Just multiply the numbers or change them to decimals (1/3 = 0.333 , 23.26, and 7 = 7.0)
1/3 * 23.26 * 7 = 54.273 (repeating)
pls help me plsssssssssss
Answer:
Step-by-step explanation:
Write an equation of a line that is parallel to the line y
4x +3
Answer:
[tex]y=4x+4[/tex]
Step-by-step explanation:
There are infinite answers
All you have to do is changed the last number 3, to any real number greater or less than 3
In 1978, the amount of earnings required to earn one Social Security credit was $250. Thirty-eight years later, in 2016, the amount was $1260. What was the percent increase in the amount required to earn a credit over this 38-year span?
Answer:
404%
Step-by-step explanation:
To find the percentage difference do the following: (FV - SV)/|SV| * 100
(1260 - 250)/|250| * 100 {Subtract 250 from 1260 to get 1010. The absolute value of 250 is 250.}
1010/250 * 100 {Divide 1010 by 250 to get 4.04, or 101/25.}
101/25 * 100/1 {CROSS CANCELLATION}
101 * 4 {Multiply 4 by 101 to get 404.}
404%
The percent increase in the amount required to earn a credit over 38 years is 404%.
Cos(8x+21)=sin(-2x+51) Find the two angles represented in degrees ??? Someone help its 1am I can't do this
Answer:
45 and 135degrees
Step-by-step explanation:
Cos(8x+21)=sin(-2x+51) Find the two angles represented in degrees ??? Someone help its 1am I can't do this
In trigonometry, cosx = sin(90-x)
Hence:
Cos(8x+21) = sin(90-(8x+21))
Cos(8x+21) = sin(90-8x-21)
Cos(8x+21) = sin(-8x+69)
Substituting into the expression given, :
sin(-8x+69) = sin(-2x+51)
-8x+69 = -2x+51
-8x+2x = 51-69.
-6x = -18.
X = 18/6
X = 3
Since the angles 8x+21
Angle = 8(3)+21
Angle = 45
The angles represented in degrees are 45 and (180-45) = 135degrees
Plz Help Me
Students were surveyed about their favorite food. Here are the results:
34% of the students like pizza
24% of the students like hamburgers
58% of the students like chicken
8% of the students like all three
12% of the students like pizza and hamburgers
22% of the students like pizza and chicken
8% of the students like only hamburgers
What percent of the students did not like pizza, hamburgers or chicken?
Answer:
0%
Step-by-step explanation:
They all liked one type of food.
The percent of the students which does not like pizza, hamburgers or chicken in the result of survey of favorite food are 22%.
Percentage of a number is the part of the whole number which is expressed in the fraction of hundredth. It is represented with "%" symbol.
Students were surveyed about their favorite food. Here are the results:
34% of the students like pizza24% of the students like hamburgers58% of the students like chicken8% of the students like all three12% of the students like pizza and hamburgers22% of the students like pizza and chickenonly 8% of the students like hamburgersThe vann diagram which represent this result is attached below. 8% of the students like all three, so 4% like chicken and hamburger and 4% pizza and hamburger.
14% of the students like pizza and chicken. Thus, the percent of the students did not like pizza, hamburgers or chicken is,
[tex]100-(32+14+8+4+4+8+8)=22\%[/tex]
Thus, the percent of the students which does not like pizza, hamburgers or chicken in the result of survey of favorite food are 22%.
Learn more about the percentage here;
https://brainly.com/question/2085058
#SPJ2
Factor the expression 45y + 20 using the GCF.
Answer:
5(9y + 4).
Step-by-step explanation:
GCF of 45y and 20 is 5
Answer is 5(9y + 4).
A store sells small and large TV sets in the ratio 2:3.The total stock is 70 sets.1)How many small and large sets are in stock? 2)If the number of large sets is increased by 8 ,what is the new ratio of small to big
Answer: a) There are 28 small TV sets and 42 big TV sets
b) new Ratio of small and large TV set= 28:50
Step-by-step explanation:
Total stock of large and small TV=70
Ratio of small and large TV set=2:3
a) Total ratio=2+3=5
Small set=2/5 x 70= 28 small TV sets
Big set=3/5 x 70 = 42 big TV sets
b)f the number of large sets is increased by 8 then
Big set TV = 42 + 8=50
new Ratio of small and large TV set= 28:50
SOMEONE PLEASEEEE HELPPPP !!!!!!!!
FALSE ITS FALSE FALSE
Answer:
True
Step-by-step explanation:
In a triangle, all the angles must add up to 180. The angles in an equiangular triangle are all the same so you can just divide 180 by 3 to get one of the angles. This is equal to 60 degrees and since acute traingles have angles that are all less than 90 degrees, it is an acute triangle.
Cars lose value the farther they are driven. A random sample of 11 cars for sale was taken. All 11 cars were the same make and model. A line was fit to the data to model the relationship between how far each car had been driven and its selling price.
Answer:
[tex]y=-\frac{1}{4}x+40[/tex]
Step-by-step explanation:
Given
See attachment for graph
Required
Determine the equation of the line of best fit
First, calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
From the graph, we can have:
[tex](x_1,y_1) = (20,35)[/tex]
[tex](x_2,y_2) = (60,25)[/tex]
So, the slope is:
[tex]m = \frac{25 -35}{60 - 20}[/tex]
[tex]m = \frac{-10}{40}[/tex]
[tex]m = -\frac{1}{4}[/tex]
The equation is then calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
[tex]y = -\frac{1}{4}(x - 20) + 35[/tex]
[tex]y = -\frac{1}{4}x + 5 + 35[/tex]
[tex]y=-\frac{1}{4}x+40[/tex]
Hence, the equation is: [tex]y=-\frac{1}{4}x+40[/tex]
Mary bought a desk on sale for 88.40. This price was 74% less than the original price.
What was the original price?
Answer:
p = $340
Step-by-step explanation:
Let p represent the original price. Then the amount Mary paid was (100% - 74%) of the original price: 0.26p = $88.40.
Solving for p: p = $340
Check: what is 74% of $340? $251.60. Subtracting this from $340, we get $88.40. This agrees with the problem statement.
If there is an 9% tax
on a $18 football,
what is the tax
amount?
Answer: $1.62
Step-by-step explanation:
9% = 0.09
18 * 0.09 = 1.62
Answer:
1.62
Step-by-step explanation:
To find 9 percent of the number 18, we must create a proportion from which we can easily determine the value we are looking for.
First we create two simple equations with data that we know.
18 equals 100%, so we can save it as 18 = 100%
The value we are looking for can be called x
Now we know that x is 9 of the output value, so we can write it as x = 9.
So we have two simple equations:
1) 18 = 100%
2) x = 9%
When we compare these two equations, we get:
18 / x = (100%) / (9%)
Now we just have to solve the simple equation.
We calculate 9 percent of 18:
18 / x = 100/9
(18 / x) * x = (100/9) * x
18 = 11.111111111111 * x
18 / 11.111111111111 = x
1.62 = x
x = 1.62
Solution:
9 percent of 18 = 1.62
the width of a rectangle is 5 inches less than the length. The area is 80 square inches. Find the length and the width.
help i dont what to do
Answer:
area=breadth* height
2*9
Help 10 pts!
Marcus has 10 gumballs in a bowl. There are 7 yellow gumballs, 1 red gumball, and the rest are blue. Without looking, he grabs one
gumball, puts it back, and then grabs another gumball.
What is the probability that both gumballs he grabs are yellow?
Answer:
49/100
Just took the quiz
Solve for n 6 ( n - 3) - 2n = 10
Answer:
n = 7
Step-by-step explanation:
:)
Find mean of the following data.
X 5 10 15 20
F 3 6 3 4
25
4
Answer:
14.1
Step-by-step explanation:
Mean = sum of the items/ no. of items = ∑fx÷∑f = 705÷ 50 = 14.1
Most water treatment facilities monitor the quality of their drinking water on hourly basis. One variable monitored it is pH, which measures the degree of alkalinity or acidity in the water. A pH below 7.0 is acidic, one above 7.0 is alkaline, and a pH of 7.0 is neutral. One water treatment plant has a target pH of 8.5 (most try to maintain a slightly alkaline level). The mean and standard deviation of 1 hour's test results, based on 12 water samples at this plant are: Mean =8.24 S=.16 Does this sample provide sufficient evidence that the mean pH level in the water differs from 8.5?
Answer:
we can conclude that there is significant evidence to support the stance that mean pH value in water differs from 8.5
Step-by-step explanation:
H0 : μ = 8.5
H1 : μ < 8.5
Test statistic :
(xbar - μ) / s/sqrt(n)
(8.24 - 8.5) ÷ (0.16 ÷ √12)
-0.26 ÷ 0.0461880
Test statistic = - 5.63
The Pvalue can be obtained from the test statistic value using a Pvalue calculator :
df = 12 - 1 = 11
Pvalue = 0.000077
Using an α value of 0.05 ; we can conclude that
Pvalue < α ; We reject H0
Hence, we can conclude that there is significant evidence to support the stance that mean pH value in water differs from 8.5
Please help me with this homework
Answer:
Part A: 1
Part B: -1
Step-by-step explanation:
3^1 = 3
3^(-1) = 1/3 = 0.3
Which statement makes a correct comparison of 3/5 and 3/8, and gives the proper support? (Help )
Answer:
3/5 is 0.6
3/8 is 0.375
3/5 is greater then 3/8
the answer would be c
A 50,000 investment earns 18 percent annually. If b represents the balance and t represents the number of years
Answer: B = 50,000 * 1.18^t
Step-by-step explanation:
This requires the use of the Future Value formula.
Future value = Amount invested + ( 1 + rate) ^ number of years invested
Future value = B in this scenario.
t = number of years.
When putting in figures therefore, the formula becomes:
B = 50,000 * ( 1 + 18%) ^ t
B = 50,000 * 1.18^t
Q4. The sum of three consecutive odd numbers is 51 Find the numbers: (2)
______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
Answer:
15,17,19
Step-by-step explanation:
Here's your solution
=> let the first number be x
=> then second and third number will be
(x + 2) and (x + 4)
=> now it's given that sum is 51
=> so, x + (x + 2) + (x + 4) = 51
=> 3x + 6 = 51
=> 3x = 51 - 6
=> 3x = 45
=> x = 45/3
=> x = 15
hence ,the following number are , 15,17,19
hope it helps
A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. He started at
90
9090 kilograms and gained weight at a constant rate. After
8
88 months, he weighed
138
138138 kilograms.
Let
W
WW represent the sumo wrestler's weight (in kilograms) after
t
tt months.
Complete the equation for the relationship between the weight and number of months.
W
=
W=W, equals
Answer:
W = 6t + 90
Step-by-step explanation:
Given :
Starting weight = intercept = 90 kg
Weight gained after 8 months = 138 kg
Using the slope intercept relation ;
We can obtain the rate of change, slope ;
y = mt + c
m = slope ; t = time after t months ; c = intercept
y = weight gained after 8 months
138 = 8m + 90
138 - 90 = 8m
48 = 8m
m = 48 / 8
m = 6
Hence, slope intercept equation equals :
W = 6t + 90
How many students chose snap?
Answer:
Well 40% of 120 is 48 so 48 students
Step-by-step explanation: