Answer:
$6.79
Step-by-step explanation:
We need to find the cost of a bottle of soap. We divide the cost by the number of bottles
$9.12/6 = $1.52 per bottle
We also need to find the cost for a sponge
$5.00/4 = $1.25 per sponge
We want to find the total cost of 2 bottles of soap and 3 sponges
cost = 2 * 1.52 + 3 * 1.25
= 3.04 + 3.75
= 6.79
Final answer:
The total cost comes to $6.79.
Explanation:
To calculate the total cost of buying 2 bottles of liquid soap and 3 sponges, we need to first find the cost of a single bottle of soap and a single sponge. We can do this by dividing the total cost of multiple items by the number of items to get the price per item.
The cost of 6 bottles of soap is $9.12. To find the cost of 1 bottle of soap, we divide: $9.12 / 6 = $1.52 per bottle.
The cost of 4 sponges is $5.00. To find the cost of 1 sponge, we divide: $5.00 / 4 = $1.25 per sponge.
Now, we can calculate the cost of 2 bottles of soap: 2 x $1.52 = $3.04.
And the cost of 3 sponges: 3 x $1.25 = $3.75.
Finally, we add the two amounts to find the total cost: $3.04 (soap) + $3.75 (sponges) = $6.79
So, the total cost of buying 2 bottles of soap and 3 sponges is $6.79.
jamie rolls a 6-sided die 30 times and determines that the experimental probability of rolling a 2 is 1/15. The theoretical probability of rolling a 2 is 1/6 What could Jamie do to make his experimental results more closely match the theoretical probability?
Answer:
Answer is to increase trials
Step-by-step explanation:
Theoretical Probability is what it is expected to happen whereas Experimental Probability is what actually happens.
What Jamie should take into serious consideration is that Experimental probability gets gradually closer to theoretical probability as the number of trials increases.
In other words, Jamie needs to increase the number of trials in order to match experimental and theoretical probabilities every time more and more.
Answer: letter A
to increase the number of trials
Step-by-step explanation:
What is the value of X?
If all angles have the same measure, then this is an equilateral triangle.
Therefore we have the equation:
4x - 30 = 3x - 5 add 30 to both sides
4x = 3x + 25 subtract 3x from both sides
x = 25
Check:
|AB| = 3x - 5 → |AB| = 3(25) - 5 = 75 - 5 = 70
|BC| = 2x + 20 → |BC| = 2(25) + 20 = 50 + 20 = 70
|AC| = 4x - 30 → |AC| = 4(25) - 30 = 100 - 30 = 70
CORRECT :)
Answer: x = 25Sarah has 25 coins that are dimes and nickels. Together they total $2.00. How many of each type does she have?
Answer:
15 dimes and 10 nickels
Step-by-step explanation:
15 dimes because 15 multiplied by 10 cents is $1.50
10 nickels because 10 multiplied by 5 cents is $0.50
15 x 0.10 = 1.50 10 x 0.50 = 0.50
0.50 + 1.50 = 2.00
Answer:
15 dimes 10 nickles
Hope this helps!
Which triangle is not labeled correctly
Answer:
Step-by-step explanation:
What are the triangles? Did you forget to attach a picture?
You are 5 feet tall. What is your height in meters (m)?
Answer:
1.524
Step-by-step explanation:
Answer:
1.52 meters
Step-by-step explanation:
Heidi's mom made flower arrangements for a party.She made 4 times as many rose arrangements as tulips arrangements.Heidi's mom made a total of 40 arrangements. How may arrangements of each type did Heidi's mom make?
Answer: 32 Rose Arrangements & 8 Tulip Arrangements
Step-by-step explanation: The number of arrangements for each flower is unknown (n) but the total is known, 40 arrangements. There are 4 times as many rose arrangements than tulip meaning 4n rose + n tulip = 40, 4n + n = 40, 5n = 40, 40 ÷ 5 = n, n = 8. Roses = 4n = 4x8= 32. Tulips = n = 8.
Dawn is verifying the accuracy of her paycheck. She earns $12 an hour and works 40 hours each week. Herr biweekly deductions are Social Security 6.2%. Medicare 1.45%, federal withoutholding tax $73.25, state withholding tax $22.50, and health insurance $37.47. What is her net pay if she is paid biweekly?
Answer: $ 753.34
Step-by-step explanation:
Since, here She earns $12 an hour and works 40 hours each week.
Therefore, her earning in two weeks = 2 × 12 × 40 = $ 960
Now, Her biweekly deductions are Social Security 6.2%. Medicare 1.45%, federal with out holding tax $73.25, state withholding tax $22.50, and health insurance $37.47.
Therefore, Her total deduction = (6.2+1.45)% of 960 + (73.25+22.50+37.47)= 73.44+133.22= 206.66
Since, Net pay is the amount of payee after deductions have been taken from the his gross pay.
Therefore, Net pay = total amount - total deduction = 960 - 206.66 = $ 753.34
Her net pay if she is paid biweekly is $ 753.34.
we have given that,
She earns $12 an hour and works 40 hours each week.
Therefore, her earning in two weeks,
= 2 × 12 × 40
= $ 960
Her biweekly deductions are Social Security 6.2%. Medicare 1.45%, federal with out holding tax $73.25, state withholding tax $22.50, and health insurance $37.47.
Therefore,
[tex]Her total deduction = (6.2+1.45)% of 960 + (73.25+22.50+37.47)\\\\\\\\Her total deduction= 73.44+133.22\\ \Her total deduction= 206.66[/tex]
What is the net pay amount formula ?Net pay is the amount of payee after deductions have been taken from the his gross pay.
Net pay = total amount - total deduction
Therefore by using formula,
Net pay= 960 - 206.66
Net pay = $ 753.34
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how to solve the algebraic expression 25=5/3(d+5/8)
Answer:
Alright well solve for d by cross multiplying
Exact form: d = 115/8
Decimal form: d = 14.375 Hope this helps have a nice day : )
Step-by-step explanation:
What is the surface area of a cone with a 6 in. diameter and a length (slant height) of 8 in.?
The formula of a surface area of a cone:
[tex]SA=pi rl+\pi r^2[/tex]
r - radius
l - slant height
We have the diameter d = 6 in and a slant height l = 8 in.
[tex]d=2r\to r=6in:2=3in[/tex]
Substitute:
[tex]SA=\pi(3)(8)+\pi(3^2)=24\pi+9\pi=\boxed{33\pi\ in^2}[/tex]
So I don't if I'm right help would be much appreciated
Answer:
A is the correct equation
Step-by-step explanation:
solve the inequality algebraically. express your answer using interval or set notation. graph the solution set. -5 less than or equal to 4 - 3x less than or equal to 2
Step-by-step explanation:
This ≤ inequality sign means:
Less than/Equal toNo more thanAt mostMaximum of-5 ≤ 4
And then:
-3x ≤ 2
OR:
-5 ≤ 4 -3x ≤ 2
Hi!!! Sorry, I didn't know if they were suppose to be together or separate, so I just did it both ways!!! :) Really sorry if I am wrong...
what is the image of the point (-6,2) after a 90 degree counterclockwise rotation
Apex please help
a.)graph d
b.) graph b
c.) graph a
d.) graph c
Answer:
GRAPH D
Step-by-step explanation:
BECASUE IT IS THE WRIGHT ANSWER
Harper knows he is 50 yards from school. The map on his phone shows that the school is 34 inch from his current location. How far is Harper from home, if the map shows the distance as 3 inches? Enter your answer in the box. yards
Answer:
4.4 yd
Step-by-step explanation:
Scale = 50 yd:34 in
Distance from home = 3 × 50/34
Distance from home = 4.4 yd
20.8 is 32% of what number
[tex]\begin{array}{ccc}20.8&-&32\%\\x&-&100\%\end{array}\qquad\text{cross multiply}\\\\32x=(20.8)(100)\\\\32x=2080\qquad\text{divide both sides by 32}\\\\\boxed{x=65}[/tex]
Answer: 20.8 id 32% of 65.The number that 20.8 is 32% of is 65, achieved by setting up an equation representing 32% of a number equal to 20.8 and solving for that number.
Explanation:The question is asking you to find a number such that 32% of it equals 20.8. You represent this situation mathematically as '32/100 * X = 20.8', where 'X' is the number we need to find. Solving for 'X' gives us 'X = 20.8 ÷ (32/100)'. Performing this operation gives us 'X = 65'.
So, 20.8 is 32% of 65, which is the solution to the problem. The primary focus here is understanding percentages and how to solve these types of questions.
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Each year, thousands of people visit Yellowstone national park. Audiotapes for visitors include interviews with early settlers and information about geology, wildlife, and activities of the park. The revenue r(x) from the sale of x tapes is r(x)=9.5x. Suppose that the function for the cost of manufacturing x tapes is c(x)=0.8x+1940.
What function could be used to find the profit on x tapes?
a. Write the profit function.
b.find the profit on 500, 1000, and 5000 tapes.
c. Check by finding the revenue and the cost for each number of tapes and subtracting to find profit
Answer: p(x) = 8.7x - 1940
p(500) = $2410
p(1000) = $6760
p(5000) = $41,560
Step-by-step explanation:
p(x) = r(x) - c(x)
= 9.5x - (0.8x + 1940)
= 9.5x - 0.8x - 1940
= 8.7x - 1940
**********************************************************************
p(500) = 8.7(500) - 1940
= 4350 - 1940
= 2410
p(1000) = 8.7(1000) - 1940
= 8700 - 1940
= 6760
p(5000) = 8.7(5000) - 1940
= 43,500 - 1940
= 41,560
***************************************************************************
p(500) = r(500) - c(500)
= 9.5(500) - [0.8(500) + 1940]
= 4750 - (400 + 1940)
= 4750 - 2340
= 2410
p(1000) = r(1000) - c(1000)
= 9.5(1000) - [0.8(1000) + 1940]
= 9500 - (800 + 1940)
= 9500 - 2740
= 6760
p(5000) = r(5000) - c(5000)
= 9.5(5000) - [0.8(5000) + 1940]
= 47500 - (4000 + 1940)
= 47500 - 5940
= 41,560
What is the value of y ?enter your answer in the box
Answer:
I believe the answer is 20.
Step-by-step explanation:
Which of the following sets represents the range of the function shown?
Answer:
{0, -1, 11, 13 }
Step-by-step explanation:
the range of the function are the corresponding values of y from the set of points, in ascending order, that is
{0, -1, 11, 13 }
Answer:
Step-by-step explanation:
The range is the set of y values of the function.
{0, -1, 11, 13]
Katelyn did this work to solve an equation. Did she make an error?
4(x-2)-3=7x
4x-2-3=7x
Answer: The right answer is this:
Katelyn did make an error. She also needs to multiply 4 by −2.
4−8−3=7
Step-by-step explanation:
Answer:
Katelyn did make an error. She also needs to multiply 4 by −2.
4x−8−3=7x
Step-by-step explanation:
−4/1a−4= 4/7a−3 solve for a
Answer:
a = (-7)/32 or a= 0.21875
Step-by-step explanation:
Solve for a:
-4 a - 4 = (4 a)/7 - 3
Put each term in (4 a)/7 - 3 over the common denominator 7: (4 a)/7 - 3 = (4 a)/7 - 21/7:
-4 a - 4 = (4 a)/7 - 21/7
(4 a)/7 - 21/7 = (4 a - 21)/7:
-4 a - 4 = (4 a - 21)/7
Multiply both sides by 7:
7 (-4 a - 4) = (7 (4 a - 21))/7
(7 (4 a - 21))/7 = 7/7×(4 a - 21) = 4 a - 21:
7 (-4 a - 4) = 4 a - 21
Expand out terms of the left hand side:
-28 a - 28 = 4 a - 21
Subtract 4 a from both sides:
(-28 a - 4 a) - 28 = (4 a - 4 a) - 21
-28 a - 4 a = -32 a:
-32 a - 28 = (4 a - 4 a) - 21
4 a - 4 a = 0:
-32 a - 28 = -21
Add 28 to both sides:
(28 - 28) - 32 a = 28 - 21
28 - 28 = 0:
-32 a = 28 - 21
28 - 21 = 7:
-32 a = 7
Divide both sides of -32 a = 7 by -32:
(-32 a)/(-32) = 7/(-32)
(-32)/(-32) = 1:
a = 7/(-32)
Multiply numerator and denominator of 7/(-32) by -1:
Answer: a = (-7)/32
The solution to the equation is [tex]\(a = -\frac{25}{32}\)[/tex].
To solve the equation [tex]\(\frac{-4}{1}a - 4 = \frac{4}{7}a - 3\) for \(a\)[/tex], follow these steps:
1. Simplify the equation by multiplying both sides by their respective denominators to eliminate the fractions:
[tex]\[ 7(-4a - 4) = 1(4a - 3) \][/tex]
2. Distribute the numbers outside the parentheses:
[tex]\[ -28a - 28 = 4a - 3 \][/tex]
3. Move all terms containing a to one side of the equation and constants to the other side:
[tex]\[ -28a - 4a = -3 + 28 \][/tex]
4. Combine like terms:
[tex]\[ -32a = 25 \][/tex]
5. Solve for a by dividing both sides by -32:
[tex]\[ a = \frac{25}{-32} \][/tex]
Therefore, the solution to the equation is [tex]\(a = -\frac{25}{32}\)[/tex].
Mr.carter and ms.torres need two busses to drive their classes to the amusement park. Each class needs money to rent a bus and $20 to tip the driver.the two classes together raised $240 how much money can they spend on each bus rental?
Answer:
$100
Step-by-step explanation:
if $20 is needed for one bus tip, then $40 is needed for the two buses that the teachers will need
so $240 - $40 = $200 to spend on bus rentals
since there are two buses, the $200 needs to be halved
therefore, each bus rental is $100
what is the standard deviation of the numbers 77,45,72,56,98,60,70,89,50,80,95,70,34,77,65,70,70,82,86,86
Answer:
The standard deviation of the numbers is 16.154.
Step-by-step explanation:
The given observations are
77,45,72,56,98,60,70,89,50,80,95,70,34,77,65,70,70,82,86,86
Average or mean of the data is
[tex]\bar{X}=\frac{\text{Sum of observations}}{\text{Total number of observations}}[/tex]
[tex]\bar{X}=\frac{1432}{20}=71.6[/tex]
The Standard deviation of the data is
[tex]\sigma=\sqrt{\frac{\sum (X-\bar{X})^2}{n}}[/tex]
[tex]\sigma=\sqrt{\frac{5218.8}{20}}[/tex]
[tex]\sigma=\sqrt{260.94}[/tex]
[tex]\sigma=\sqrt{16.154}[/tex]
Therefore standard deviation of the numbers is 16.154.
FAST!! the hcf of 2 numbers is 98 and there LCM is 2352..the sum of their numbers may be
Answer:
Step-by-step explanation:
I hope it will help you
Attachment
Today lan wants to run less than 7/12 mile.Write a fraction with a denominator of 4 to represent a distance that is less than 7/12 mile.
Answer:
the answer is 1/4 because 7/12 is larger than 1/2 but 1/4 is 2x smaller
Step-by-step explanation:
How would I put equations like these in Standard Form?
4x-y-7=0
3x+9= (7/2)y
y=-4x+12
y=(-3/4)x+(5/4)
The standard form:
[tex]Ax+By=C[/tex]
[tex]4x-y-7=0\qquad\text{add 7 to both sides}\\\\\boxed{4x-y=7}[/tex]
[tex]3x+9=\dfrac{7}{2}y\qquad\text{multiply both sides by 2}\\\\6x+18=7y\qquad\text{subtract 18 and 7y from both sides}\\\\\boxed{6x-7y=-18}[/tex]
[tex]y=-4x+12\qquad\text{add 4x to both sides}\\\\\boxed{4x+y=12}[/tex]
[tex]y=-\dfrac{3}{4}x+\dfrac{5}{4}\qquad\text{multiply both sides by 4}\\\\4y=-3x+5\qquad\text{add 3x to both sides}\\\\\boxed{3x+4y=5}[/tex]
Using a calculator and the formula, calculate the APR. Choose the correct answer.Bob Businessman offers credit at 20% interest per year.
Answer:21.9
Step-by-step explanation:i just finished this question on a test and got it right hope this helps
Complete the statement about the tables below. Then, choose a rule for each. x y 0 5 1 7.5 2 11.25 This table represents a(n) relationship. Rule: x y 0 -6 1 12 2 30 This table represents a(n) relationship. Rule:
The first table represents an exponential relationship.
Rule: [tex]\(y = 5 \times 1.5^x\)[/tex]
The second table represents a linear relationship.
Rule: [tex]\(y = 6x - 6\)[/tex]
The first table represents an exponential relationship.
Rule: The rule for the first table can be expressed as [tex]\(y = 5 \times 1.5^x\)[/tex]. Each (y) value is obtained by multiplying the previous (y) value by 1.5.
The second table represents a linear relationship.
Rule: The rule for the second table can be expressed as [tex]\(y = 6x - 6\)[/tex]. Each (y) value is obtained by multiplying the corresponding (x) value by 6 and then subtracting 6.
S is a geometric sequence. (Square root x-1),1 and (square root x+1) are the first three terms of s. Find the value of x.
Answer:
x = ± [tex]\sqrt{2}[/tex]
Step-by-step explanation:
given the 3 terms of a geometric sequence
[tex]\sqrt{x-1}[/tex], 1, [tex]\sqrt{x+1}[/tex], then the common ratio r
r = [tex]\frac{\sqrt{(x+1)} }{1}[/tex] = [tex]\frac{1}{\sqrt{(x-1)} }[/tex] ( cross- multiply )
[tex]\sqrt{(x+1)(x-1)}[/tex] = 1 ( square both sides )
(x + 1 )(x - 1 ) = 1 ← expand factors on left side )
x² - 1 = 1 ( add 1 to both sides )
x² = 2 ( take the square root of both sides )
x = ± [tex]\sqrt{2}[/tex]
The value of x is ±[tex]\sqrt{2}[/tex].
What is a Geometric Sequence?It is a sequence, where the ratio of two consecutive terms in a sequence are constant.It is a finite or infinite sequence.Geometric Sequence G is given by: G = a, ar², ar³,..... (a = first term; r = constant ratio)Given:
Geometric Sequence with first three terms.
[tex]\sqrt{x-1},1, \sqrt{x+1[/tex]
We have to find the value of x.
Now, if the given sequence is geometric then we can find the common ratio of the sequence.
The common ratio is given by:
r = [tex]\frac{1}{\sqrt{x-1} }[/tex] and r = [tex]\frac{\sqrt{x+1} }{1}[/tex]
Now, we can equate the both the values of r to solve for the value of x.
[tex]\frac{\sqrt{x+1} }{1} = \frac{1}{\sqrt{x-1} }[/tex]
Now, multiplying the numerator on both sides by [tex]\sqrt{x-1}[/tex], we get:
[tex]\sqrt{x+1} \sqrt{x-1} =1[/tex]
[tex]\sqrt{(x-1)(x+1)}=1[/tex]
[tex]\sqrt{x^2-1} =1[/tex]
Now, squaring on both sides of the equation, we get:
⇒ x² - 1 = 1
⇒ x² = 2
Now, taking square root on both the sides, we get:
⇒ x = ±[tex]\sqrt{2}[/tex]
Therefore, for a given geometric sequence the value of x will be ±[tex]\sqrt{2}[/tex].
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How do you solve this?
Answer:
Multiply 60 by .40
60 * .40 = 24
Answer is B
Step-by-step explanation:
Will mark brainliest! :D
Answer: 137 + 4(n-1)
Step-by-step explanation:
137 + 4(n-1)
Okay, let's test this starting with week 1:
137 + 4(1-1)
137 + 4*0
137, which is correct because she starts with 137.
Week 2:
137 + 4 (2-1)
137 + 4 * 1
137 + 4
141
Alright, let's see if it is correct if we do week 5:
137 + 4 (5-1)
137 + 4(4)
137 + 16
153
To know that 153 is right we could do 137 + 4 + 4 + 4 + 4, which equals 153.