52 cups.
3.35 times 52 equals 174.20
2.45 times 77 equals 188.60
So 52 cups of apple cider were sold in total.
Answer:
The number of cups of apple cider sold was 60 cups
Step-by-step explanation:
We will develop equations to solve this problem.
Let a= price for a cup of apple cider in dollars
Let b= price for a donut in dollars
Let x = number for cups of apple cider sold
Let y= number of donuts sold
Let z = number of items sold on the day = 126 items
Let v = total money made = $362.70
Lets write two equations. One in terms of the amount of items sold of cups of apple cider and donuts, and one in terms of how much money was made for selling cups of apple cider and donuts.
z = x + y
x = z- y (1)
v = ax + by (2)
we substitute equation 1 in to equation 2
v = a(z-y) +by = az -ay +by = az +y(b-a)
solve for y
y = (v-az)/(b-a) = (362.70 - 3.35×126)/(2.45-3.35) = 66 donuts were sold
therefore x = z-y = 126-66 = 60 cups of apple cider were sold
Find the area of the trapezoid by decomposing it into other shapes.
A)
25.5 cm2
B)
27.5 cm2
C)
32.5 cm 2
D)
35.5 cm2
The answer is A) 25.5 cm2.
A woman wants to make a 4 inch wide copy of a drawing that is 5 inch wide. On the photo copier, what percent setting should she use to make a copy this size
A 5%
B 80%
C 90%
D 125%
Answer:
B 80 %
Step-by-step explanation:
She wants to reduce the size of the drawing, so the setting should be a proper fraction.
Setting = 4/5
Multiply numerator and denominator by 20 = 80/100
Convert to percent = 80 %
The setting should be 80 %.
Answer:
80%
Step-by-step explanation:
4/5 multiply them together and it equals 20
then multiply 4 and 5 by 20 which will get you
80/100 so.. convert it to percentage and you get...
80%
Which of the following are solutions to the equation below? 6x 2 - 2x + 36 = 5x 2 + 10x
6, 6 are the solutions of the given equation.
What is equation ?
It is a mathematical statement which contains two algebraic expressions on both sides of an ' = ' sign.
Equation shows the equality between the expressions in left hand and right hand side.
What is the solution of given equation ?The given equation is [tex]6x^{2} -2x+36=5x^{2} +10x[/tex]
Solving the equation, [tex]6x^{2} -5x^{2} -2x-10x+36=0[/tex]
⇒ [tex]x^{2} -12x+36=0[/tex]
⇒ [tex](x-6)^{2} =0[/tex]
∴ The equation have double root, the values of x are 6, 6
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Is parallelogram a rectangle
Answer:
Sometimes, but not always.
Step-by-step explanation:
A parallelogram is a quadrilateral with two pairs of parallel sides, but there are no requirements for its interior angles. A rectangle, on the other hand, must have four interior 90 degree angles. So a rectangle is always a parallelogram, but a parallelogram is not always a rectangle.
A parallelogram is usually defined as a quadrilateral with 2 pairs of equal, opposite and parallel sides. It can also form right angles between adjacent sides. Therefore, not all rectangles are squares, not all parallelograms are rectangles.
Hope I could help! :)
The measures of the three angles are 45°, 75°, and 60°. how many triangles can you make
Answer:
1 Triangle
Step-by-step explanation:
By adding all these 3 angle measures (45°, 75°, 60°) we are getting 180° in sum. And as we know that normal triangle has 180° , so that it equal only to one triangle.
Final answer:
The sum of the angles of a triangle is always 180 degrees. With angles of 45°, 75°, and 60°, a single unique triangle can be formed.
Explanation:
The sum of the angles in a triangle is always 180 degrees. In this case, the measures of the three angles are 45°, 75°, and 60°. To determine how many triangles can be formed, we need to consider if these angles can form a valid triangle.
Add the given angles: 45° + 75° + 60° = 180°. Since the sum is 180°, a triangle can be formed.
Considering unique triangles: If two angles are the same, only one unique triangle can be formed. If all angles are different, multiple triangles can be formed.
Conclusion: With angles of 45°, 75°, and 60°, a single unique triangle can be formed.
Two sides of a triangle measure 18 meters and 11 meters. If the perimeter of the triangle is 37 meters, what is the length of the third side? 12 m 8 m 66 m 30 m
Answer:
Length of third side = 37-(18+11)
= 37 - 29
= 8 m
Hope this helps!
Answer:
8 m
Step-by-step explanation:
what is the area of this figure enter your answer in the box.
PLEASE HELP ME!?
Answer:
its 18 inchs in diamatr
Step-by-step explanation:
The area of the figure is 400 in.
Mrs campbell gave her algebra 1 students a list of trinomials to factor for homework. which of these can be factored into two binomials
A. x^2+3x+2
B. x^2+4x+5
C. x^2+5x+7
D. x^2+6x+10
Answer:
A
Step-by-step explanation:
A trinomial can be factored into two binomials, when the discriminant of the trinomial is greater than or equal to 0.
The discriminant for trinomial [tex]ax^2+bx+c[/tex] is he expression [tex]D=b^2-4ac.[/tex]
Check all options:
A.
[tex]D=3^2-4\cdot 1\cdot 2=9-8=1,[/tex]
then
[tex]x_{1,2}=\dfrac{-b\pm\sqrt{D}}{2a}=\dfrac{-3\pm\sqrt{1}}{2}=-2,\ -1.[/tex]
Thus,
[tex]x^2+3x+2=(x-x_1)(x-x_2)=(x-(-2))(x-(-1))=(x+2)(x+1).[/tex]
B.
[tex]D=4^2-4\cdot 1\cdot 5=16-20=-4<0,[/tex]
so this trinomial cannot be factored.
C.
[tex]D=5^2-4\cdot 1\cdot 7=25-28=-3<0,[/tex]
so this trinomial cannot be factored.
D.
[tex]D=6^2-4\cdot 1\cdot 10=36-40=-4<0,[/tex]
so this trinomial cannot be factored.
Two mechanics worked on a car. The first mechanic to work for 5 Hours in the second mechanic work for 15 Hours. Together they charged a total of $2000. What was the rate charge per hour by each mechanic if the sum of the two rates was $170 Per hour ?
The answers is:
The first mechanic's rate is $70 per hour.
The second mechanic's rate is $110 per hour.
Why?Let's write the given information in order to make the equations that will help us to solve this problem.
Let be "x" the first mechanic's rate and "y" the second mechanic's rate, so:
If the first mechanic worked for 5 hours and the second mechanic worked for 15 hours, and the together charged a total of $2000.
[tex]5x+15y=2000[/tex]
Also, we know that the sum of the two rates was $170 per hour, so:
[tex]x+y=180[/tex]
Then, isolating "x" and replacing it into the first equation, we have:
[tex]x=180-y[/tex]
[tex]5(180-y)+15y=2000[/tex]
[tex]900-5y+15y=2000[/tex]
[tex]10y=2000-900[/tex]
[tex]10y=1100[/tex]
[tex]y=\frac{1100}{10}=110[/tex]
So, the second mechanic's rate is $110 per hour.
Now, to calculate the first mechanic's rate we need to replace "y" into the second equation:
[tex]x+y=180\\x+110=180\\x=180-110=70[/tex]
So, the first mechanic's rate is $70 per hour.
Have a nice day!
The function table shows the rule y = 3x + 5. Which number correctly completes the table?
Answer:
the answer is 3
Step-by-step explanation:
11-8=3
17-11=6
6/2=3
Answer:the answer is 14 just took the test
Step-by-step explanation:
If 3 is added to the absolute value of the product of a number and −9, the result is 4.
Answer:
[tex]x=\frac{1}{9},-\frac{1}{9}[/tex]
Step-by-step explanation:
[tex]3 + |x*-9|=4\\|x*-9|=1\\|x|=\frac{1}{9}\\ \\x=\frac{1}{9},-\frac{1}{9}[/tex]
The value of x for the given condition will be either 1/9 or -1/9.
What are summation and multiplication?A summation, also abbreviated as a sum, is the outcome of adding two or more numbers or quantities. Here are always an integer number of terms in a summation.
Multiplication is the general procedure in mathematics in which we multiply two or more numbers to each other to find a new multiplied number.
Given that 3 + x × (-9) = 4
In the first case if the value of x is positive
3 - 9x = 4 ⇒ x = -1/9
In the second case if the value of x is negative
3 + 9x = 4 ⇒ x = 1/9
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3v/7=6, then v=
a) 1-2/3
b) 2-4/7
c) 14
d) 42
Answer:
c) 14
Step-by-step explanation:
The given equation is [tex]\frac{3v}{7}=6[/tex].
We need to solve this equation for v, so we multiply both sides of the equation by the multiplicative inverse of [tex]\frac{3}{7}[/tex] which is [tex]\frac{7}{3}[/tex] to obtain;
[tex]\frac{7}{3} \times \frac{3v}{7}=6\times \frac{7}{3}[/tex].
We simplify to obtain;
[tex]v=2\times 7[/tex]
[tex]v=14[/tex]
The correct choice is C.
Answer: option c
Step-by-step explanation:
To solve this problem you must apply the following proccedure:
- Multiply both sides of the equation by 7.
- Divide both sides of the equation by 3.
Therefore, keeping the steps above on mind, you obtain the result shown below:
[tex]\frac{3v}{7}=6\\\\(7)\frac{3v}{7}=6(7)\\\\3v=42\\\\\frac{3v}{3}=\frac{42}{3}\\ v=14[/tex]
All possible solutions for -6k < -12
ANSWER
All possible solutions are
[tex]k \: > \: 2[/tex]
EXPLANATION
The given inequality is
[tex] - 6k \: < \: - 12[/tex]
Divide both sides by -6 and reverse the inequality sign.
[tex] k \: > \: \frac{ - 12}{ - 6} [/tex]
[tex]k \: > \: 2[/tex]
All real numbers greater than 2.
a) As x decreases within bound, f(x) increases without bound.
b) As x decreases without bound,f(x) approaches zero
c) as x increases without bound,f(x) approaches the line y = - 4
d) as x decreases without bound,f(x) approaches the line y = - 4
Answer:
a) As x decreases within bound, f(x) increases without bound.
c) as x increases without bound,f(x) approaches the line y = - 4
Step-by-step explanation:
From the graph, we can see, as x becomes more negative, y gets larger and larger.
As x→ -∞, y → ∞
As x decreases without bound, y increases without bound
We can also see as x gets larger and larger, y gets closer to -4
As x →∞, y → -4
As x increases without bound, y approaches -4
As x decreases within a limit, f(x) increases without bound.
Explanation:The correct statement in this question is a) As x decreases within bound, f(x) increases without bound.
To understand this concept better, we can look at the graph of the function y = 1/x. As x approaches zero (within the bound), the value of y increases without bound, meaning it becomes very large and approaches infinity.
Other functions can also exhibit similar behavior where as x decreases within a limit, the corresponding values of f(x) increase without bound.
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Which of the following is not a measure of central tendency?
A. Mean
B. Median
C. Range
D. Mode
Answer:
Range
Step-by-step explanation:
what is the value of the expression
2 1/4 divided by 1 2/5
Answer:
Step-by-step explanation:
2 1/4 divided by 1 2/5
8/4 + 1/4 divded by 5/5 +2/5
9/4 divided by 7/5
9/4 times 5/7
9 times 5 over 4 times 7
45 over 28
a briefcase selling for rs 1500 was marked down by 20% for a special promotion. it was later marked down further by 10% of the promotion sales price. compute the profit/loss in percentage if the cost is Rs 1000
Profit = 8%
If the briefcase was marked down 20% from 1500 you multiply 1500 x .2 = 300 in order to calculate the discount.
Calculate the discounted price:
1500 - 300 = 1200
Calculate 10% discount of 1200:
1200 x .1 = 120
Calculate the sales price:
1200 - 120 = 1080
The last step is to calculate the profit/loss is the cost is 1000.
The briefcase sold for 1080 and the company paid 1000 for it, so there was a profit of 80.
The percentage is calculate by dividing 80/1000 = 8% profit
Final answer:
The briefcase was originally priced at Rs 1500, discounted twice first by 20% and then by an additional 10%, leading to a final selling price of Rs 1080. With a cost of Rs 1000, the profit is Rs 80, resulting in a profit percentage of 8%.
Explanation:
The briefcase was initially selling for Rs 1500 and was marked down by 20%. Therefore, the sale price after the first discount can be calculated as: Rs 1500 - (20% of Rs 1500) = Rs 1500 - Rs 300 = Rs 1200. This briefcase was then marked down by an additional 10% of the promotion sales price, which becomes Rs 1200 - (10% of Rs 1200) = Rs 1200 - Rs 120 = Rs 1080. The cost of the briefcase is given as Rs 1000, so the profit is the final selling price minus the cost: Rs 1080 - Rs 1000 = Rs 80.
To find the profit percentage, we use the formula: (Profit/Cost) x 100. Substituting the values we get: (Rs 80/Rs 1000) x 100 = 8%. So, the profit percentage is 8% after both the discounts.
which equation is represented by the graph below ?
Answer:
C) y = ln(x) + 4
Step-by-step explanation:
The equation can't be A or B, because they are exponential functions, and they can have negative x-values.
It must be one of the two ln functions, because they can't have negative values of x.
To decide between C and D, insert a value of x that makes it easy to calculate the value of y.
Let x = 1.
For Equation C,
y = ln(1) + 4 = 0 + 4 = 4
For Equation D,
y = ln(1) + 5 = 0 + 5 = 5
We draw a vertical line from x = 1 and see where it intersects the graph.
The intersection is at (1, 4), so the correct equation is
y = ln(x) + 4
Identify the vertex of the graph. Tell whether it is a minimum or maximum.
A. (1,-1); maximum
B. (-1,1); minimum
C. (-1,1); maximum
D. (1,-1); minimum
The correct answer is d
The vertex of the graph is at minimum or maximum option (D) (1, -1); the minimum is correct.
What is a parabola?It is defined as the graph of a quadratic function that has something bowl-shaped.
We have shown a graph of a parabola in the picture.
As the graph opens up and has a vertex at (1, -1)
The minimum value of graph,
At x = 1
y = -1
Thus, the vertex of the graph is at minimum or maximum option (D) (1, -1); the minimum is correct.
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Graph this line using the slope and y
-intercept:
y
=
-
1
7
x
+
8
Click to select points on the graph.
Answer:
The expression is
y = -17*x + 8
Which is already in the slope intercept form
y = m*x + b
Where m is the slope and b is the y-intercept.
The slope
m = -17
The intercept
b = 8
Please see attached picture for graph
Probability 0.1 0.3 0.2 0.2 0.1 0.1 Which is the expected value of the random variable with the given probability distribution? a. 17 c. 17.8 b. 17.2
Answer:
it is going to be a
Step-by-step explanation:
but u have to add the number and move your demical
Answer:
Option b 17.2
Step-by-step explanation:
Given is a probability distribution of a random variable say x in table form.We have to find the mean.
All probabilities lie between 0 and 1 and add to 1.
Hence this is a valid prob distribution.
To find mean we multiply the random variable x value with probability and add.
Mean = E(X) = [tex]\Sigma p_i x_i = 15(0.1)+16(0.3)+17(0.2)+18(0.2)+19(0.1)+20(0.1)\\=1.5+4.8+3.4+3.6+1.9+2\\= 17.2[/tex]
Hence option b is right answer.
sara has 24 sweets
tim also has 24 sweets
sara gives tim x sweets
sara then eats 7 of her sweets
tim then eats half of his sweets
write an expression for the number of sweets sara and tim have now
The answer is:
The expression for the number of sweets that Sara and Tim have now, are:
[tex]Sara=(17-x)Sweets\\\\Tim=\frac{(24+x)Sweets}{2}[/tex]
Why?To write the expressions for the number of sweets that Sara and Tim have now, we need to follow the next steps:
Sara starts with 24 sweets and Tim starts with 24 sweets
[tex]Sara=24 Sweets\\Tim=24 Sweets[/tex]
Then, Sara gives Tim x Sweets
[tex]Sara=(24-x)Sweets\\Tim=(24+x)Sweets[/tex]
Then. Sara eats 7 of her Sweets
[tex]Sara=(24-x-7) Sweets\\Sara=(17-x )Sweets\\Tim=(24+x) Sweets[/tex]
Then, Tim eats half of his sweets
[tex]Sara=(17-x)Sweets\\\\Tim=\frac{(24+x)Sweets}{2}[/tex]
So, the expression for the number of sweets that Sara and Tim have now, are:
[tex]Sara=(17-x) Sweets\\\\Tim=\frac{(24+x)Sweets}{2}[/tex]
Have a nice day!
A square has a perimeter of 36 units. One vertex of the square is located at (3, 5) on the coordinate grid. What could be the x- and y-coordinates of another vertex of the square?
Answer:
(3,-5)
Step-by-step explanation:
Answer with explanation:
Perimeter of Square = 36 units
Also, Perimeter of Square =4 × Side
→4 × Side=36
Dividing both sides by ,4 we get
Side of Square = 9 units
Length of Diagonal of square having side a, =√2 a
Length of Diagonal of Square having side , 9 units =9 √2 units
One Vertex of the Square =(3,5)
As , All Interior Angles of Square measures 90°.
So, Other vertices of Square will be, (3,-4),(-6,-4) and (-6,5).
subtract (5x^2+3)-(2x^2+4x-12)
Answer:
Final answer is [tex]3x^2-4x+15[/tex]
Step-by-step explanation:
we have been given an expression [tex](5x^2+3)-(2x^2+4x-12)[/tex].
Now we need to subtract them.
We can subtract like terms only that has same variable with same exponent.
[tex](5x^2+3)-(2x^2+4x-12)[/tex]
[tex]=5x^2+3-2x^2-4x+12[/tex]
[tex]=5x^2-2x^2-4x+3+12[/tex]
[tex]=(5-2)x^2-4x+(3+12)[/tex]
[tex]=(3)x^2-4x+(15)[/tex]
[tex]=3x^2-4x+15[/tex]
Hence final answer is [tex]3x^2-4x+15[/tex]
Answer:
(5x^2+3)-(2x^2+4x-12) = 3x²-4x+15.
Step-by-step explanation:
We have given the expression:
(5x²+3)-(2x²+4x-12)
We have to subtract.
(5x²+3)-(2x²+4x-12)
5x²+3-2x²-4x+12
5x²-2x²-4x+3+12
3x²-4x+15
3x²-4x+15 is the answer.
i need the mean of 17, 19, 21, 23
Answer:
20
Step-by-step explanation:
to find the mean, it means to find the average.
steps:
first, you add up all the numbers.
then you divide that total number by the total number of numbers you have.
and that is ur answer!!
17+19+21+23=80 add up all numbers
80÷4=20 divide total by the amount of numbers
The average/mean is 20.
plz give brainliesttttt
Answer:20 is the mean
Step-by-step explanation:
if you add them all you get 80 then divide it by 4 because its 4 numbers and ya get 20
help me with this I really need help
Answer:
i think it is 19 is the whole number 9/40 is the remainder
Step-by-step explanation:
6/11 divided by 2/5
[tex] \frac{6}{11} \div \frac{2}{5} = \frac{6}{11} \times \frac{5}{2} = \frac{3 \times 5}{11} = \frac{15}{11} [/tex]
Step-by-step explanation:
6/11 ÷ 2/5
Formula: a/b ÷ c/d = a/b x d/c = ad/bc
1. Change it to multiplication x by switching 2/5 to 5/2
6/11 x 5/2
= 30/22
2. Simplify
= 15/11 <------- Answer
Hope this Helped!!!
~Shane
suppose the linear regression line y= 2.4x + 3.1 predicts the time,in minutes it takes you to be served at a food stand if there are x people in line ahead of you. About how much time would it take you to be served if there are 3 people in line ahead of you?
Using the linear regression equation y = 2.4x + 3.1, substituting '3' for 'x' results in a predicted wait time of approximately 10.3 minutes when there are 3 people in line ahead of you.
Explanation:To calculate the time it would take to be served at a food stand if there are 3 people in line ahead of you, we will use the given linear regression equation y = 2.4x + 3.1.
Plugging in the value of 3 for x (which represents the number of people in line), we get the result as:
y = (2.4 * 3) + 3.1
y = 7.2 + 3.1
y = 10.3 minutes
Therefore, according to the regression line, it will take approximately 10.3 minutes for you to be served if there are 3 people in line ahead of you.
Final answer:
To determine the service time with 3 people in line, substitute 3 into the regression equation y = 2.4x + 3.1 to get y = 2.4(3) + 3.1, which calculates to approximately 10.3 minutes.
Explanation:
The question involves using a linear regression line to predict the time it would take to be served at a food stand based on the number of people in line ahead. The given linear regression equation is y = 2.4x + 3.1, where y represents the time to be served in minutes and x represents the number of people in line. To find the time it would take to be served when there are 3 people in line ahead, simply substitute 3 for x in the equation:
y = 2.4(3) + 3.1
= 7.2 + 3.1
= 10.3 minutes.
So, it would take approximately 10.3 minutes to be served if there are 3 people in line ahead of you.
A living room has a circular rug. According to a small tag, the rug has a circumference of 6.28 yards. What is the rug's radius? Use 3.14 for .
To find the radius of the circular rug with a circumference of 6.28 yards, the formula r = C / (2π) is used, where π is approximated as 3.14. By substituting the given circumference into the formula, the radius is calculated to be 1 yard.
Explanation:The question is asking to calculate the radius of a circular rug given its circumference. The formula for the circumference of a circle is C = 2πr, where C is the circumference, π (pi) generally approximated as 3.14, and r is the radius of the circle. To find the radius, we rearrange the formula to solve for r: r = C / (2π).
In this case, the circumference is given as 6.28 yards. Using the formula:
r = 6.28 yards / (2 × 3.14)
r = 6.28 / 6.28
r = 1 yard
Therefore, the radius of the circular rug is 1 yard.
Four brothers and their sister have the average age 7. Four brothers have the average age 6. How old is the sister?
Answer:
11 years old
Step-by-step explanation:
If four brothers have the average age 6, then the sum of their ages is
[tex]4\cdot 6=24[/tex]
years.
Let x years be the age of sister. If four brothers and their sister have the average age 7, then
[tex]\dfrac{24+x}{5}=7.[/tex]
Multiply this equation by 5:
[tex]24+x=35\Rightarrow x=35-24=11.[/tex]
The sister is 11 years old.