Answer:
6
Step-by-step explanation:
Given that:
Cost of shirt = $12.50
Cost per socks = $2.50
Total amount paid = $27.50
How many pairs of socks was purchased =?
Let Number of socks purchased = x
Total amount paid = cost of shirt + (cost per socks * number of socks)
27.50 = 12.50 + (2.50 * x)
27.50 = 12.50 + 2.50x
27.50 - 12.50 = 2.50x
15 = 2.50x
x = 15 / 2.50
x = 6
Number of pairs purchased = 6
There are 60 dogs at a doggie daycare one Friday. If 1/3 of the dogs are large dogs, 1/6 of the dogs are medium-sized dogs, which statement is true
and the remaining dogs are small dogs, which statement is true?
A. There are 10 less large dogs than small dogs at the daycare.
B. There are 10 more large dogs than small dogs at the daycare
C. There are 20 less dogs than small dogs at the daycare.
D. There are 20 more large dogs than small dogs at the daycare .
Answer:
Step-by-step explanation:
D
Answer:
I think its B
Hope this helps
find the unit rate.
1/3 kilograms : 2/3 foot.
the unit rate is kilograms per foot.
Answer:
The unit rate is 1/2 or 0.5 kilograms per foot
Step-by-step explanation:
In order to find the unit rate we have to divide the number of kilograms by the number of feet
Given information is:
1/3 kilograms : 2/3 foot.
Let u be the unit rate
The unit rate will be calculated as:
[tex]u = \frac{\frac{1}{3}}{\frac{2}{3}}[/tex]
When dealing with fractions
[tex]\frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a}{b} * \frac{d}{c}[/tex]
So
[tex]u = \frac{1}{3} * \frac{3}{2}\\u = \frac{1}{2}[/tex]
Hence,
The unit rate is 1/2 or 0.5 kilograms per foot
A letter or symbol that represents a number (quantity) that can change
Answer:
a variable
Step-by-step explanation:
a variable can change and is a letter or symbol that represents a number
A letter or symbol that represents a number (quantity) that can change is a variable
A pentagon has 3 congruent sides and 2 other congruent sides. The perimeter of the pentagon is 36 centimeters. The three long congruent sides are 2 centimeters longer than the two shorter congruent sides.
Let x = length of a short side
Let y = length of a long side
The system of equations can be used to represent the situation.
y = x + 2
2x + 3y = 36
What is the length of one of the shorter congruent sides?
Answer:
The shorter side of pentagon is 6cm long
Step-by-step explanation:
Given two equations are:
[tex]y = x + 2\\2x + 3y = 36[/tex]
We can use any one of the methods to solve the simultaneous linear equations
As it is also given that x is the length of shorter side, we have to find the value of x
Using the substitution method
We will put the value of y i.e. x+2 in the 2nd equation
So,
[tex]2x+3(x+2) = 36[/tex]
Simplification gives us:
[tex]2x+3x+6 = 36\\5x+6 = 36\\5x = 36-6\\5x = 30\\x = \frac{30}{5}\\x =6[/tex]
Hence,
The shorter side of pentagon is 6cm long
Mr.Webb wants to give each of his 7 dogs no more than 10 treats. how many treats does he need? (let t= the number of treats)
Answer:
70
Step-by-step explanation:
7x10=70
Answer:
7x10=70 :)
Step-by-step explanation:
Please help!! ASAP!!! Top 3 mainly
Step-by-step explanation:
Rules:
[tex] \sqrt[n]{a} = a^{\frac{1}{n}} [/tex]
[tex] \sqrt[n]{a^m} = a^{\frac{m}{n}} [/tex]
1.
[tex]\sqrt[3]{2} = 2^{\frac{1}{2}}[/tex]
2.
[tex] \sqrt[3]{2x^2} = \sqrt[3]{2} \sqrt[3]{x^2} = 2^{\frac{1}{3}}x^{\frac{2}{3}} [/tex]
3.
[tex]\sqrt[3]{(2x)^2} = \sqrt[3]{4x^2} = \sqrt[3]{4} \sqrt[3]{x^2} = 4^{\frac{1}{3}}x^{\frac{2}{3}}[/tex]
Help finding angle 1,2,3
Which table contains the values that satisfy equation y=0.5×+12
Answer: 6
Step-by-step explanation:
Maybe
Can I get the answer please
Answer:
C
Step-by-step explanation:
first equation is y=3/4x+2
second equation is -2x+17
what is the answer to 4x-5=x-23
need step by step explanation
Answer:
x=−6
Step-by-step explanation:
4x−5=x−23
Step 1: Subtract x from both sides.
4x−5−x=x−23−x
3x−5=−23
Step 2: Add 5 to both sides.
3x−5+5=−23+5
3x=−18
Step 3: Divide both sides by 3.
3x /3=-18/3
x=-6
The Internal Revenue Service estimates that 8% of all taxpayers filling out forms make mistakes. An IRS employee announces at lunch one day that she is going to check 25 randomly selected forms after lunch. Calculate the mean and standard deviation of the number of forms with mistakes she should expect to find.
Answer:
Mean = 2
Standard deviation = 1.356
Step-by-step explanation:
We are given;
Probability of taxpayers that make mistakes when filling out forms: p = 0.08
Sample size; n = 25
In binomial distribution;
Means is;
μ = np
Thus;
μ = 25 × 0.08
μ = 2
Formula for standard deviation here is;
σ = √(np(1 - p))
σ = √(25 × 0.08(1 - 0.08))
σ = 1.356
The required mean is 2 and standard deviation is 1.356 of the number of forms with mistakes she should expect to find.
Given that,
The Internal Revenue Service estimates that 8% of all taxpayers filling out forms make mistakes.
An IRS employee announces at lunch one day that she is going to check 25 randomly selected forms after lunch.
We have to determine,
The mean and standard deviation of the number of forms with mistakes she should expect to find.
According to the question,
Probability of taxpayers that make mistakes when filling out forms: p = 8%= 0.08
And sample size; n = 25
Therefore,
In binomial distribution mean is determine by the formula,
[tex]\mu = np\\\\\mu = 25 \times 0.08\\\\\mu = 2[/tex]
The mean of the number of forms with mistake she should expect to find is 2.
And, Standard deviation is determined by the formula,
[tex]\sigma = \sqrt{np(1-p)}\\\\\sigma = \sqrt{25\times 0.08 (1-0.08)}\\\\\sigma = \sqrt{2\times0.92}\\\\\sigma =\sqrt{ 1.84}\\\\\sigma = 1.356[/tex]
The standard deviation of the number of forms with mistake she should expect to find is 1.356.
Hence, The required mean is 2 and standard deviation is 1.356 of the number of forms with mistakes she should expect to find.
To know more about Standard deviation click the link given below.
https://brainly.com/question/19793958
I will give you brainiest :)
solve for k
k/4 = 3/8
Answer:
ok some idiot mod deleted my answer but literally all i put was k=6
Step-by-step explanation:
On a field trip ,there are 3 adults for every 45 students .which graph models a relationship with the same unit rate
Answer: bbb
Step-by-step explanation:
Santa's sleigh covered a total distance of 5797 kilometres averaging a speed of 38
km/h in snow storm conditions and 91 km/h in clear skies. His deliveries took 87
hours. How many hours did Santa spend in snow storms? (Hint distance = speed
x time)
Answer:
152.6 hours
Step-by-step explanation:
Distance = Speed × Time
Time = Distance/Speed
Santa's sleigh covered a total distance of 5797 kilometres averaging a speed of 38 km/h in snow storm conditions
Hence: Time Santa spent in snow storms is calculated as:
5797km ÷ 38 km/h
= 152.55263158 hours
Approximately = 152.6 hours
A farm yielded 1200 bags of wheat in 2006 . This was was a 20% decrease in yield from 2005. what was the decrease in the number of bags?
Answer:
300 bags of wheat
Step-by-step explanation:
We can get the answer by using algebraic expressions. If 1,200 bags means a 20% decrease in the yield from 2005, then it is 80% of the yield in 2005.
Let's solve.
Let x be the number of bags yield from 2005.
We can say: 1,200 is 80% of x
1,200 = 80% of x
1,200 = 0.80(x)
x = [tex]\frac{1,200}{0.80}[/tex]
x = 1,500
The number of bags yield from 2005 is 1,500.
Let's check.
Let x be the decrease in yield.
1,500 x 20% = x
1,500(0.20) = x
x = 300
The 20% decrease in yield is equal to 300 bags of wheat.
1,500 - 300 = 1,200 bags
The answer is correct.
In triangle ABC, m A = 55°, m B = 30°, and a = 8. Which equation should you
solve to find b?
Need help ASAP !!!!
The equation we should solve to find b is option A:sin 55°/b = sin 30°/8
What is trigonometry?
Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles.
We can use the law of sines to solve for the missing side length of the triangle. The law of sines states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is constant for all sides of the triangle. In other words:
a/sin A = b/sin B = c/sin C
where a, b, and c are the side lengths of the triangle, and A, B, and C are the angles opposite those sides.
Using this formula, we can write:
b/sin B = a/sin A
Substituting the given values, we get:
b/sin 30° = 8/sin 55°
Now, we can solve for b by cross-multiplying:
b = 8(sin 30° / sin 55°)
Therefore, the equation we should solve to find b is option A:
sin 55°/b = sin 30°/8
Note that options B and C have the sine and cosine terms reversed, respectively, and option D uses the law of cosines, which is not necessary to solve this problem.
To learn more about trigonometry from the given link:
https://brainly.com/question/29002217
#SPJ1
Help me pls, I tried to do it and got the incorrect Anwser
Samer's salary each month is $3,650. He spends $1,160 on rent. He breaks the rest of his earnings into 3 other monthly expenses. How much money was in each part?
Answer:
$830
Step-by-step explanation:
Samer's salary each month is $3,650. He spends $1,160 on rent. He breaks the rest of his earnings into 3 other monthly expenses. How much money was in each part?
Step 1
$3,650 - $1,160
= $2490
Step 2
He breaks the rest of his earnings into 3 other monthly expenses. How much money was in each part?
Hence,
$2490/3
= $830
The amount of money in each part = $830
I GIVE BRAINLIEST: Choose the equation and the inequality needed to answer this question.
Trevor tutors French for $15 an hour and scoops ice cream for $10 an hour. He is going to work 15 hours this week. At least his many hours does he need to tutor to make more than $180? Let x equal the number of hours he tutors and y be the number of hours he scoops ice cream. (Select multiple)
x + y < 15
15 x+10 y > 180
x + y = 15
15 x+ 10 y < 180
x + y > 15
15 x+ 10 y =180
Answer:
x (total number of hours) = 15
Step-by-step explanation:
Total number of hours = 15
Let the hours spent tutoring french be x.
Therefore hours spent on scooping ice cream = (15 - x)
Amount: Tutoring french is $15 an hour, total for x hours = 15x
For scooping ice cream it is $10 an hour 10*(15 - x) = 150 - 10x
To make more than $180
15x + (150 - 10x) > 180
15x + 150 - 10x > 180
15x - 10x > 180 - 150
5x > 30
x > 30/5
x > 6
So he needs to tutor more than 6 hours in order to make more than $180
Need help immediately!!!!!!!
Answer:
C)
The rate of change/slope is constant, when you calculate it for this problem, it doesn't change for any amount of marbles listed in the table
PLEASE HELP!! WILL GIVE BRAINLY!!!
Answer:
x = 102 degrees
Step-by-step explanation:
Since the line is through parrallel lines, we know that angle 2 and angle 7 will be equal to each other, so all you have to do is set the equations equal to each other to solve.
2x-37 = x+65
Subtract x from the left to isolate the variable and add 37 to the right.
x = 102
Which of the following best shows the distributive property?
2 + (2 + 3) = (2 + 2) + 3
2(2 + 3) = 2(5)
2(2 + 3) = 2(2) + 2(3)
2 + 3 = 3 + 2
Answer:
2(2 + 3) = 2(2) + 2(3)
Step-by-step explanation:
The first one shows the associative property.
In the second one, the paranthesis is being solved first, therefore the rule of PEMDAS is being applied.
The last one displays the commutative property.
Answer:
2(2 + 3) = 2(2) + 2(3)
Step-by-step explanation:
In circle A, ZBAE ZDAE.
What is the value of x?
Answer:
x = 17
Step-by-step explanation:
Assuming that angle BAE and angle DAE are congruent, we want to set the equations 3x - 24 and x + 10 together to make it like this 3x - 24 = x + 10. Subtract x on both sides to get 2x - 24 = 10. Add 24 on both sides to get to this equation 2x = 34. Divide 2 on both sides to get your x value which is 17.
8. How many times would an athlete run around the field shown to cover a distance of 2km?
101m
163m
Step-by-step explanation:
1km=1000m
so 2×101=202
then divide by 60 min
so 202÷60=3.36
The length of a rectangular courtyard can be represented by (3x+5) and the width by (2x-3). Create an expression that represent the area of the courtyard. A= l times w
Given that,
Length of a rectangular courtyard = (3x+5)
Width of a rectangular courtyard = (2x-3)
To find,
The expression for area of the courtyard.
Solution,
The area of the rectangular shaped object is given by :
A = lb
Substituting all the values,
A = (3x+5) (2-3)
= (3x)(2)-(3x)(3)+(5)(2)-(5)(3)
= 6x-9x+10-15
= -3x-5
So, the area of the courtyard is (-3x-5).
By direct calculation (multiplying the two given linear polynomials) we will see that the expression that represents the area is:
A = 6x^2 + x - 15
We know that the area of a rectangle of width W and length L is given by:
A = W*L
Here we know that:
L = 3x + 5
W = 2x - 3
Now we can just replace these in the area equation to get:
A = (3x + 5)*(2x - 3) = 6x^2 + 10x - 9x - 15
A = 6x^2 + x - 15
This is the expression that represents the area of the courtyard.
If you want to learn more, you can read:
https://brainly.com/question/2295917
How many solutions are there to 17-1/9x=10
Answer:
one solution
Step-by-step explanation:
Given
17 - [tex]\frac{1}{9}[/tex] x = 10 ( subtract 17 from both sides )
- [tex]\frac{1}{9}[/tex] x = - 7 ( multiply both sides by - 9 to clear the fraction )
x = 63
Bennett and his friends decide to go bowling. The cost for the group is $15 for
shoe rentals plus $4.00 per game. Determine the cost for 9 games. *
9 Games cost $51 in totality
Answer:
167
Step-by-step explanation:
15x9=135
4x9=32
135+32=167
Hope this helped!
Which story problem could be solved using the given equation? 14×35=m
Answer:
the answer is 390
Step-by-step explanation:
you see M means = when youre talking about money you put a M so the question is 14x35=390 hope it HELPS!!!!!!!!!
Find the measure of the exterior angle. ILL GIVE BRAINILEST
Answer:
108°
Step-by-step explanation:
In order to find the measure of the exterior angle, we first need to solve for a. We know that the sum of a triangles' angles is always 180°.
Now we set up an equation:
180 = 44 + (a + 10) + (180 - 2a)
180 = 44 + a + 10 + 180 - 2a
180 = -a + 234
-54 = -a
54 = a
Because we know that a = 54, we can now solve for the exterior angle:
2(54) = 108
Therefore, the measure of the exterior angle is 108°.
what is 4 2/3 in a proper fraction.
Answer:
14/3(I believe you mean improper fraction)
Step-by-step explanation:
4 mutiply 3 plus 2