The costs are given as follows:
Ham sandwich: $11.6.Roast beef sandwich: $4.56.How to obtain the costs?The costs are obtained using a system of equations, for which the variables are given as follows:
Variable x: cost of a ham sandwich.Variable y: cost of a roast beef sandwich.The first platter costs $46 and you get 2 ham sandwiches and 5 roast beef sandwiches, hence:
2x + 5y = 46
x + 2.5y = 23
x = 23 - 2.5y.
The other platter costs $58 and you get 5 ham sandwiches and 3 roast beef sandwiches, hence:
5x + 3y = 58
Replacing the first equation into the second, the value of y is obtained as follows:
5(23 - 2.5y) + 3y = 58
12.5y = 57
y = 57/12.5
y = 4.56.
Then the value of x is obtained as follows:
x = 23 - 2.5(4.56)
x = $11.6.
More can be learned about a system of equations at https://brainly.com/question/30374328
#SPJ1
On the graph below, draw any line with a slope of *positive* 2 and draw any line with a slope of *negative* 2.
Refer to the image for the graph of the lines.
The common form of the equation of a line is y = mx + c, where m is the slope of the line and c is a constant.
We need to draw any line with a slope m = 2, and
another line with a slope m = -2.
Disclaimer: Let us assume that the constant c = 0.
Then the equation to the line with a slope of "positive" 2 is given by
y = 2x
Then the equation to the line with a slope of "negative" 2 is given by
y = -2x
Refer to the attached image for the graph of the lines with the slope of "positive" 2 and "negative" 2.
f: green line indicates a line with a slope of "positive" 2.
g: blue line indicates a line with a slope of "negative" 2.
Learn more at:
https://brainly.com/question/28360812
#SPJ9
6x^3-x^2 +17 = 2x^2 + 47
Answer:
Solve the rational equation by combining expressions and isolating the variable x
.
x≈1.89393154
Step-by-step explanation:
please mark brainly
Kimmy invested $1,000 in an account at 8% intrests compounded quarteraly. how much money will she have earned on the account after 7 years??
Answer: $713.82
Step-by-step explanation:
f(x) = -2/3x+ 2; find f(-3)
Answer:
Step-by-step explanation:
f(-3) = -2/3(-3) + 2
2 + 2 = 4
A poll of 1005 U.S. adults split the sample into four age groups: ages 18-29, 30-49, 50-64, and 65+. In the youngest age group, 62% said that they thought the U.S. was ready for a woman president, as opposed to 35% who said "no, the country was not ready" (3% were undecided). The sample included 251 18-to 29-year olds. a) Do you expect the 95% confidence interval for the true proportion of all 18- to 29-year olds who think the U.S. is ready for a woman president to be wider or narrower than the 95% confidence interval for the true proportion of all U.S. adults? b) Construct a 95% confidence interval for the true proportion of all 18- to 29-year olds who believe the U.S. is ready for a woman president. as wide as the 95% confidence interval for the true proportion of all U.S. a) The 95% confidence interval for the true proportion of 18- to 29-year olds who think the U.S. is ready for a woman president will be about adults who think this. b) The 95% confidence interval is a % (Round to one decimal place as needed.) %. equally one-half twice four times one-fourth
The 95% confidence interval for the true proportion of all 18- to 29-year-olds who think the U.S. is ready for a woman president is expected to be narrower than the 95% confidence interval for the true proportion of all U.S. adults.
How does the 95% confidence interval differ between 18-29-year-olds and all U.S. adults in terms of width?The confidence interval for the 18-29 age group will be narrower than the confidence interval for all U.S. adults.
This is because the sample size of 251 individuals in the 18-29 age group is smaller compared to the sample size of 1005 U.S. adults.
A larger sample size leads to a narrower confidence interval, as it provides more accurate estimates of the true proportion.
In this case, the narrower confidence interval for the 18-29 age group indicates a higher level of certainty about their beliefs regarding a woman president.
Confidence intervals provide a range of values within which the true population parameter is likely to fall.
A narrower confidence interval indicates more precise estimates, whereas a wider interval suggests more uncertainty. The width of a confidence interval depends on several factors, including the sample size and the level of confidence chosen.
When comparing confidence intervals for different subgroups within a population, the subgroup with a larger sample size will generally have a narrower interval.
Understanding the width of confidence intervals helps to assess the reliability and precision of survey results.
Learn more about Confidence intervals.
brainly.com/question/32546207
#SPJ11
one of the five quadratics below has a repeated root. (the other four have distinct roots.) what is the repeated root? \begin{align*}
Form the given five quadratics , the one representing the repeated roots is equal to option d. 25x² - 30x + 9 and repeated roots are 3/5 or 3/5.
Quadratics representing repeated roots has discriminant equals to zero.
Standard quadratic equation is:
ax² + bx + c = 0
Discriminant 'D' = b² - 4ac
option a. -x²+ 18x + 81
Discriminant
'D' = 18² - 4(-1)(81)
= 324 + 324
= 648
D>0 has distinct roots.
option b. 3x²- 3x - 168
Discriminant
'D' = (-3)² - 4(-3)(-168)
= 9 - 2016
= -2007
D< 0 has distinct roots.
option c. x²- 4x - 4
Discriminant
'D' = (-4)² - 4(1)(-4)
= 16 + 16
= 32
D>0 has distinct roots.
option d. 25x²- 30x + 9
Discriminant
'D' = (-30)² - 4(25)(9)
= 900 - 900
= 0
D = 0 has repeated roots.
Repeated roots are:
x = ( -b ±√D ) / 2a
= [-(-30)±√0 ]/ 2(25)
= 30/ 50
= 3/5.
option e. x² - 14x + 24
Discriminant
'D' = (-14)² - 4(1)(24)
= 196 - 96
= 100
D>0 has distinct roots.
Therefore, the quadratics which represents the repeated roots are given by option d. 25x² - 30x + 9 and its repeated roots are 3/5 or 3/5.
The above question is incomplete, the complete question is:
One of the five quadratics below has a repeated root. (There other four have distinct roots.) What is the repeated root?
a. -x²+ 18x + 81
b. 3x² - 3x - 168
c. x² - 4x - 4
d. 25x² - 30x + 9
e. x² - 14x + 24
learn more about quadratics here
brainly.com/question/22364785
#SPJ4
Tristan wants to buy a car and has a choice between two different banks. One bank is offering a simple interest rate of 3% and the other bank is offering a rate of 2.5% compounded annually. If Tristan decides to deposit $7,000 for 4 years, which bank would be the better deal? 1. a simple interest rate of 3% 2. a compound interest rate of 2.5%
Answer:
The bank offering simple interest at rate of 3% for four years
Step-by-step explanation:
Hello,
To find out which deal would be better, we have to find how much accrued on the simple and compound interest.
Data;
Principal (P) = $7,000
Time = 4 years
Simple interest rate = 3%
S.I = PRT / 100
S.I = (7000 × 3 × 4) / 100
S.I = $840
In four years, he would have $7000 + $840 = $7840.
For compound interest,
C.I = P(1 + r/n)^nt
Where n = number of time compounded = 1 (since it's annually)
rate = 2.5% = 2.5/ 100 = 0.025
C.I = 7000(1 + 0.025/1)⁽¹*⁴⁾
C.I = 7000 (1 + 0.025)⁴
C.I = 7000×(1.025)⁴
C.I = 7000 × 1.1038
C.I = $7726.6
In four years he would have $7,726.6
After calculating and evaluating both option, it's advisable for him to select the bank offering a simple interest of 3% for four years
Can someone help me and explain it
Answer:
2.28 x 10^10
Step-by-step explanation:
(3.8 x 10^6) (6 x 10^3) do distributive property 3.8 to 6 and 10^6 to 10^3
22.8 x 10^9 since its 22.8 you have to make it in "once" place, therefore, move the decimal to the left and add the exponent "1"
2.28 x 10^10 is the answer
Show your work for the math problem
Given :
x + 2x - 20 = 85To find :
The value of x .Solution :
According to Question ,
x + 2x - 20 = 85 3x - 20 = 85 3x = 85 + 20 3x = 105 x = 105/3 x = 35WILL BRAINLIST !!!!!!!!
Step-by-step explanation:
1) 432000000
2) 1050000
3) 82310000000
4) 0.000231
5) 0.00007.
hope this helps you.
helpppp like rn cus i don’t get ts
Step-by-step explanation:
The ratio of child tickets to adult tickets is 8 : 1.
It means for each adult ticket the number of child tickets is 8 times more.
On Saturday they sold 147 adult tickets, so the number of child tickets is:
8*147 = 1176The ratio adult : child, as per picture:
1/8 = 147/x ⇒ x = 147*8 = 1176Total tickets sold, add up child and adult ticket numbers:
1176 + 147 = 1323Ratio is 8:1
Total adult tickets=147
Total child tickets
147(8)1176Total tickets
1176+1471323the ratio of the volumes of two similar pentagonal prisms is 27:125 what is the ratio of their heights?
To determine the ratio of the heights of two similar pentagonal prisms with a volume ratio of 27:125, we need to consider the relationship between the volumes and dimensions of similar prisms. Since the prisms are similar, their corresponding linear dimensions (height, width, and length) have the same ratio.
Let's denote the ratio of their heights as h₁ : h₂. The volume ratio can be expressed as:
(Volume of Prism 1) / (Volume of Prism 2) = 27/125
For a prism, the volume can be calculated as:
Volume = Base Area × Height
Since the prisms are similar, the ratio of their base areas is the square of the ratio of their linear dimensions. Therefore, the ratio of their base areas is (h₁/h₂)².
Now, we can express the volume ratio in terms of their heights:
(h₁ × Base Area 1) / (h₂ × Base Area 2) = 27/125
Since the base areas are proportional, we can substitute the base area ratio with the height ratio squared:
(h₁ × (h₁/h₂)²) / h₂ = 27/125
We can cancel out one h₁ from both the numerator and denominator:
(h₁/h₂)² = 27/125
Now, take the square root of both sides to find the height ratio:
h₁/h₂ = √(27/125) = √(3³/5³) = 3/5
So, the ratio of their heights is 3:5.
To learn more about pentagonal prisms : brainly.com/question/26709266
#SPJ11
What is 2+2x -6=2720=1819
The solution to the equation √(2 + 2x) - 6 = 2 when evaluated is x = 31
How to determine the solution to the equationFrom the question, we have the following parameters that can be used in our computation:
√(2 + 2x) - 6 = 2
So, we have
√(2 + 2x) = 8
Take the square of both sides
so, we have the following representation
2 + 2x = 64
Evalyate the like terms
2x = 62
Divide by 2
This means that
x = 31
Hence, the solution is x = 31
Read more about equations at
https://brainly.com/question/18831322
#SPJ1
Complete question
What is √(2 + 2x) - 6 = 2
the tens digit of a two digit number is twice the units digit. the sum of the number and its unit digit is 66 find the number
Given that :
The tens digit of two digit number is twice the units digit.And there sum is 66.To find :
The number.Solution :
•Let us take the units digit be x
•Then the tens digit will be 2x [As it is given that the tens digit is two times the units digit]
A/Q
↪2x + x = 66
↪3x = 66
↪x = 66/3
↪x = 22
Therefore,the units digit is 22
And the tens digit is 2x = 2 × 22 = 44
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
Anthony and Joan have $10 to buy apples and oranges at the market. They will buy a total
of 25 pieces of fruit. Apples cost 50 cents each and oranges cost 25 cents each. Which of
these systems best represents this situation?
Identify whether each phrase is an expression, equation or inequality.
\(\frac{7}{y} < 6\) is an inequality.
\(3-2\) is an expression.
\(4x^{2} +8=9\) is an equation.
Answer:
[see below]
Step-by-step explanation:
An equation is a mathematical statement that states that two expressions are equal. Equations have an equal sign.
An inequality is a mathematical statement that states that two expressions are greater than, less than, greater than or equal to, or less than or equal to.
An expression is a combination of mathematical symbols that show the value of something. It does not have any inequality sign nor an equal sign.
\(\frac{7}{x}< 6\) is an inequality. It has a less than sign.
3 - 2 is an expression. It does not have any inequality sign nor an equal sign.
\(4^2+8=9\) is an equation. It includes an equal sign.
Hope this helps you.
Luke has blue and red ballsEvery day he wins 2 blue balls and loses 3 red onesAfter 5 days he has the same amount of blue and red ballsAfter 9 days, he has twice as many red balls as blue ballsHow many red balls did he have at the beginning?
The number of red balls Luke has at the start is 47.
blue ball per day = 2
red ball per day = -3 ('-' ve sign as he is loosing them)
let the number of red balls be represented by r
let the number of blue balls be represented by b
after 5 days
b+ 10 = r -15 -(i)
After 9 days
b + 18 =2(r-27)-(ii)
subtracting (i) from (ii)
b + 18 - b - 10 = 2r - r - 54 +15
8 = r - 39
r = 39 + 8
r = 47
The number of red balls Luke has at the start is 47
Learn more about 2-variable Linear Equations at:
brainly.com/question/29796485
#SPJ4
please help as soon as possible
Answer:
26.28
Step-by-step explanation:
First, add the side lengths of what you know. 6 + 6 + 8 = 20.
Then, find the circumference of the circle, BUT make sure you divide it by 2 because it is a semicircle in the figure.
The formula is 2\(\pi\)r, so plug in the radius = 2
So the circumference is 4\(\pi\), then divide by 2 to get 2
20 + 2\(\pi\) = 26.28
Step-by-step explanation:
we know all 3 values of trapezium length. so let's find out the circumference of half circle
circumference of circle= 2pi r
circumference of half circle = (180/360)× 2pi r
therefore it's equal to pi r
circumference = 22/7 ×2 (diameter is 4 so radius is 2)
circumference of half circle = 44/7
Total perimeter of the figure= 8+6+6+(44/7)
=20 + 6.28
= 26.28
Round of to nearest tenth place = 26.3
What is the value of the t score for a 98% confidence interval if we take a sample of size 20?
a. 2.845
b. 2.861
c. 2.326
d. 2.528
e. 2.539
The value of the t score for a 98% confidence interval when taking a sample of size 20 is 2.861.
The value of the t score for a 98% confidence interval when taking a sample of size 20 is 2.861. This calculation is based on the t-distribution, which is a probability distribution that is used to calculate confidence intervals. The t-distribution is used when the population standard deviation is unknown and the sample size is relatively small, which is the case for our sample size of 20. To calculate the t score, we need to first calculate the degrees of freedom, which is equal to n-1 = 20-1 = 19. Then, use this value of degrees of freedom to look up the relevant t score in a t-table. This will give us a t score of 2.861. This t score indicates the level of confidence that our sample mean is representative of the population mean. Therefore, when taking a sample of size 20 and calculating a 98% confidence interval, the t score we get is 2.861.
Learn more about interval here
https://brainly.com/question/24131141
#SPJ4
What is the area of the shape? (Number only)
Answer: 282.15cm. ^2(squared)
Step-by-step explanation:
Hey!
So for this problem we first need our formula.
For a right triangle, it would be:
A=1/2bh
B=base (bottom line)
H= height (middle line)
Since that’s is technically two right triangle to make 1, you could just multiple your final result by 2 or just do base times height.
We’re going to do 1/2bh x 2 so I can show you both ways.
Our base is 27, so we are going to split that in half into 13.5.
We already have our height so now all we do is multiply.
13.5 x 20.9=282.15
Now we divide by 2 (if you only wanted one half of the triangle) and we would get 141.07.
Since you need the whole triangle area, your final answer would be 282.15cm. ^2(squared)
???????????????????????????
Ashley had 4/ 5 of a spool of yarn. She used 2/5 of it for her project. What fraction of the spool was used for her project? Write your answer in simplest form
Ashley used 8/25 of the spool for her project.
To determine the fraction of the spool that Ashley used for her project, we need to multiply the fraction of the spool she had (4/5) by the fraction she used (2/5):
(4/5) * (2/5) = 8/25
Know more about fraction here:
https://brainly.com/question/10354322
#SPJ11
Quick I need to finish this and I still have more questions after
Answer:
\(1\frac{1}{2}\) or 1.5
Step-by-step explanation:
Now we know it's a dilation. So we can use any two points. I chose V and V'.
V: (3,6)
V': (2,4)
So how we get from 6 to 4?
\(4(x)=6\\x=\frac{6}{4} \\x=1.5\)
You can tell it's 1.5 aswell because 4 times 1 is 4 and 4 times 0.5 is 2. Add them to get 6.
Therefore, the dilation factor is 1.5.
What is the slope of the line perpendicular to the line with the equation 5x + 3y=18?
Answer:
3 i think
hope it helps...
a student answered 44 questions correctly on a test with 55 questions. what percent of the test was answered correctly?
(plz tell me how to figure it out)
Answer:
80%
Step-by-step explanation:
The basic idea of this problem is to convert \(\frac{44}{55}\) into a percentage. \(\frac{44}{55}\) can be simplified to \(\frac{4}{5}\) which is also 80%.
Answer:
Step-by-step explanation:
44 out of 55
divide :44/55=0.8
to convert it to decimal you multiply by 100 and put percentage next to it
0.8*100=80
%80
100 points ANSWER ASAP
Answer: Question 1: 113 & Question 2: 27
Step-by-step explanation:
For question 1 you would add 35+32=67,then you subtract 180-67 to get 113 for your answer & question 2 you would subtract 155-128 to get 27 for the answer
Angles in a triangle add up to 180 degrees.
\(180-35-32=113\)
Angles on a line add up to 180 degrees.
\(p=180-113=67\)
Angles on a line add up to 180 degrees.
\(180-155=25\)
Angles in a triangle add up to 180 degrees.
\(q=180-128-25=27\)
The price of an item has been reduced by 65% . The orginal price was 69$ What is the price of the item now
Answer:
$24.15
Step-by-step explanation:
Since we know its 35% of the original price we simply do 69×35% which equals 24.15. You can do it on your own work, or on a calculator to check.
You could also divide 69 by a hundred, which gives you .69 and multiply it by 35 which gives you the same answer
Answer:
$24.15
Step-by-step explanation:
65 percent of 69 is 44.85. Subtract that from the original price for $24.15. Hope this helps ^^
How could you label this angle?
Would you consider the angle to be acute, right or obtuse?
Answer:
Obtuse
Step-by-step explanation:
Since the angle is higher than 90 degrees (which would be labeled as a box in the corner), the angle of A is obtuse
Answer:
obtuse
Step-by-step explanation:
obtuse - larger than a right angle/90°
right angle- would have the box in the inner corner to show its a right angle
acute - smaller than a right angle/90°
Marianna went running and had 1/6 of a bottle of water left when she stopped to rest. She went to a water fountain and filled it until it was 2/3 full.
How much water (as a fraction of a bottle) did Marianna put in her bottle at the water fountain?
Mari put 1/2 of a bottle of water at the water fountain .
Expression in maths is outlined because the assortment of numbers variables and functions by mistreatment signs like addition, subtraction, multiplication, and division.Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping will all be pictured by mathematical symbols, which might even be accustomed indicate the logical syntax's order of operations and different options.Let the capacity of the bottle holding water be 100 .
It is given that Marianna went running and had 1/6 of a bottle of water left when she stopped to rest. She went to a water fountain and filled it until it was 2/3 full.
The amount of water is given by :
2/3 of 100 - 1/6 of 100 = 2/3 × 100 - 1/6 × 100
= 100( 2/3 - 1/6)
= 100(1/2)
= 50
Learn more about expression here :
brainly.com/question/20323470
#SPJ9
A direct relationship between two variables is reflected in a(n) _____ correlation coefficient.
A direct relationship between two variables is reflected in a "POSITIVE" correlation coefficient.
Correlation is a statistical technique for measuring and describing the relationship between two variables.
The variables move in the same direction when they have a positive correlation. In other words, as one variable increases, so does the other, and conversely, as one variable decreases, so does the other.
Typically, the two variables are simply observed rather than manipulated. Two scores from the same individuals are required for the correlation.
Find more on correlation coefficient at : https://brainly.com/question/28213588
#SPJ4
Which element of the romantic movement is present in this excerpt from the "The Solitary Reaper" by William Wordsworth?
Will no one tell me what she sings?--
Perhaps the plaintive numbers flow
For old, unhappy, far-off things,
And battles long ago:
Or is it some more humble lay,
Familiar matter of to-day?
Some natural sorrow, loss, or pain,
That has been, and may be again?
Whate'er the theme, the Maiden sang
As if her song could have no ending;
I saw her singing at her work,
And o'er the sickle bending;--
I listened, motionless and still;
And, as I mounted up the hill,
The music in my heart I bore,
Long after it was heard no more.
A.
The poem is strongly nationalistic.
B.
The poem argues that high aspirations are good.
C.
The poem focuses on mysticism and the supernatural.
D.
The poem explores the inner world of an individual.
The correct answer for the question that is being presented above is this one: "D. The poem explores the inner world of an individual." The element of the romantic movement is present in this excerpt from the "The Solitary Reaper" by William Wordsworth is that the poem explores the inner world of an individual.