Answer:
0.64 ounces
Step-by-step explanation:
64 ounces in total ÷ 100 equal sized cupcakes
Hope my explanation helped
Answer: The answer is 0.64 ounces
Step-by-step explanation:
The solution to a system of linear equations is (-3,-3). Which system of linear equations has this point as its solution?
x-5y = -12 and 3x+2y = -15
OX-5y=-12 and 3x+2y = 15
x-5y = 12 and 3x+2y = - 15
X-5y = 12 and 3x + 2y = 15
Answer:
Option c) is correct.
That is x-5y=12 and 3x+2y=-15 are the system of linear equations satisfies the point (-3,3) so this is the solution.
Step-by-step explanation:
To verify that which system of linear equations having the solution (-3,-3)
Let [tex]x-5y=12\hfill (1)[/tex]
and [tex]3x+2y=-15\hfill (2)[/tex]
To solve it we have to use elimination method
First multiply the equation(1) into 3 we get
[tex]3x-15y=36\hfill (3)[/tex]
Now subtracting the equations (2)and (3) the signs may vary in the second equation we get
[tex]3x-15y=36[/tex]
[tex]-3x-2y=+15[/tex]
________________
[tex]-17y=51[/tex]
_______________
[tex]y=-\frac{51}{17}[/tex]
[tex]y=-3[/tex]
Now substitue the value y=-3 in equation (1) we get
[tex]x-5y=12[/tex]
[tex]x-5(-3)=12[/tex]
[tex]x=12-15[/tex]
Therefore x=-3
Therefore the solution is (-3,-3)
Therefore Option c) is correct.
That is x-5y=12 and 3x+2y=-15 are the system of linear equations satisfies the point (-3,3) so the solution is (-3,-3).
Zachary can spend no more than $94 per day to rent a car. A car rents for $30 per day plus $0.20 per mile. Write an inequality for this situation. Graph the solutions on a number line. What does the graph show
Answer:
$124.20 miles all you gotta do is add them together
Step-by-step explanation:
f h(x) = 6 – x, what is the value of (h circle h) (10)?
Answer:
Step-by-step explanation: when h(x) = 10
h(x)= 6-x
h(10)= 6-10
=-4
Which choice is the most efficient first step to solve this set of equations?
Answer:
Option b) is correct
3x+4(2x+4)=17 Substitute (2x+4) for y in the second equation
Step-by-step explanation:
Given Equations are
[tex]y=2x+4\hfill (1)[/tex] and [tex]3x+4y=17\hfill (2)[/tex]
To solve the given equations we have to find the value of
x and y values.
Here y value is given so that we can substitute y=3x+4 value in second equation
ie., Substitute equation (1) in (2) equation we can easily get x value.
Therefore substitute (2x+4) for y in the second equation we get
3x+4(2x+4)=17
Option b) is correct
If you deposit $1,000 in an account that pays 6% annual interest compounded
continuously, what will the balance be after five years?
Answer:
I think it's $1,349.86
Answer:
It's $1,349.86
Step-by-step explanation:
(trust me bro)
Beverley is buying hot dogs and hot dog buns for a picnic. She wants to buy one got dog for each bun with none left over. The hot dogs come packed 12 in a package. The buns come packed 8 in a package. What is the least amount of each beverly needs to buy? How many packages of each item would she buy?
Answer:
Number of hot dog packets = [tex]\frac{24}{12}[/tex] = 2
Number of bun packets = [tex]\frac{24}{8}[/tex] = 3
Step-by-step explanation:
Beverley is buying hot dogs and hot dog buns for a picnic. She wants to buy one got dog for each bun with none left over. The hot dogs come packed 12 in a package. The buns come packed 8 in a package.
We have to find the lowest common multiple of 8 and 12 and from observation we can see that it is 24.
So Beverly would have to buy around 24 pieces of hot dogs and buns.
Number of hot dog packets = [tex]\frac{24}{12}[/tex] = 2
Number of bun packets = [tex]\frac{24}{8}[/tex] = 3
Answer:
Beverly would have to buy around 24 pieces of hot dogs and buns.
Step-by-step explanation:
same hope this help
4 - (-8) =
What is the answer
Answer:
12
Step-by-step explanation:
When you subtract a negative number, the two negatives make a plus sign.
4 - (-8)
= 4 + 8
= 12
The isosceles trapezoid is part of an
isosceles triangle with a 46° vertex angle.
Enter the measure of an acute base angle of
the trapezoid.
Final answer:
Using the properties of isosceles triangles, the acute base angle of the isosceles trapezoid, which is part of an isosceles triangle with a 46° vertex angle, is found to be 67°.
Explanation:
To find the measure of an acute base angle of the isosceles trapezoid that is part of an isosceles triangle with a 46° vertex angle, we can apply the properties of isosceles triangles. By the Isosceles Triangle Theorem, we know that the angles opposite the equal sides are equal.
Since the given triangle is isosceles, the two base angles must also be equal. Additionally, we know that the sum of all angles in any triangle is 180°.
Let's call each of the base angles B. Then, the sum of all angles in the triangle is:
46° + B + B = 180°
Now we solve for B:
2B = 180° - 46° = 134°
B = 134° / 2 = 67°
Thus, each base angle of the isosceles triangle is 67°. Next, considering the isosceles trapezoid, we know the adjacent angles must be supplementary because they are on the same line. This means that one base angle of the isosceles trapezoid equals:
180° - 67° = 113°
However, since the student is looking for the measure of an acute base angle of the trapezoid and 113° is an obtuse angle, the acute base angle is the original 67° angle that we found. This is because the acute and obtuse angles in the trapezoid are adjacent angles around the same vertex, and the acute angle is the angle that's interior to the triangle.
Therefore, the measure of an acute base angle of the trapezoid is 67°.
What is the domain of the given function?
{(3, -2), (6, 1), (-1, 4), (5, 9). (-4,0}}
{x|x = -4,-1, 3, 5, 6}
{yl y = -2,0, 1, 4, 9)
{x | x = -4,-2,-1, 0, 1, 3, 4, 5, 6, 9}
{yly= -4,-2,-1, 0, 1, 3, 4, 5, 6, 9)
Answer:
-4,-1,3,5,6
Step-by-step explanation:
The first set because domain is the set of elements giving values of x
What is 2y=4x-2/5 in standard form
Answer:
4x-2y=2/5
Step-by-step explanation:
2y=4x-2/5
4x-2y=2/5
Please answer the 3 questions above. SHOW YOUR WORK
If you don’t show your word or reply with stuff like “aldbaldbs” or “Idk the answer” I’ll report your account!
Answer:
1. A
2. (6, 0.7)
3.
[tex]10.99D \leq 90.01[/tex]
and
[tex]10.99D + 9.99 \leq 100[/tex]
Step-by-step explanation:
1.
The equation to solve is:
[tex]Ax+4Ax=51+2Ax[/tex]
The variable is "x", so we take all the terms with x's and take the number to one side. Then we add up the like terms of x's and solve for x. Shown below:
[tex]Ax+4Ax=51+2Ax\\Ax+4Ax-2Ax=51\\x(A+4A-2A)=51\\x(3A)=51\\x=\frac{51}{3A}\\x=\frac{17}{A}[/tex]
x = 17/A
Correct answer is A
2.
The equation is:
[tex]10y=3x-11[/tex]
The point that would lie on the graph is the point when put, makes the equation true. So we check each point and see if the equation holds:
[tex]10y=3x-11\\10(0.5)=3(2)-11\\5\neq -5[/tex]
first point doesn't lie on the graph.
[tex]10y=3x-11\\10(1)=3(4)-11\\10 \neq 1[/tex]
second point doesn't lie on the graph.
[tex]10y=3x-11\\10(0.7)=3(6)-11\\7=7[/tex]
This point lies on the graph. So, this is the answer.
Correct answer is (6, 0.7)
3.
Let Miguel buy D DVDs. Each costing 10.99, that would make the cost:
10.99D
Shipping cost entire order is 9.99, so this would be added to DVD cost. Total cost:
10.99D + 9.99
This total cost can be NO MORE THAN 100, so this expression would be equal to or less than 100, so we can write:
[tex]10.99D + 9.99 \leq 100[/tex]
If we take 9.99 to the right side and subtract, it becomes:
[tex]10.99D \leq 90.01[/tex]
First choice is correct.
Second choice, clearly, isn't correct.
Third choice, similarly, isn't correct as well.
Fourth choice, because of "+" sign on right side (of 9.99) is also incorrect.
Fifth choice is what we initially got, so this is correct.
First and Fifth Choice is right.
Degrees Celsius can be converted to degrees Fahrenheit by multiplying 1 and 4/5 and adding 32 degrees C what is 15 degrees C in Fahrenheit
Answer:
15C is 59F
Step-by-step explanation:
As an equation, F = (1 4/5)C + 32. 1 and 4/5 is the same as 9/5.
Substitute 15 for C.
F = (9/5)C + 32
F = (9/5)(15) + 32 Multiply 15 by the top number in 9/5
F = 135/5 + 32 Convert 32 to a fraction over 5
F = 135/5 + 160/5 Add the numerators under the same denominator
F = 295/5 Divide
F = 59 Degrees in Farenheit
Therefore 15°C is 59°F.
Factor the polynomial by its greatest common monomial factor.
44k^5-66k^4+77k^3
Answer:
11k^3 (4k^2 - 6k +7)
Step-by-step explanation:
Take out the obvious GCF of 11
11 (4k^5 - 6k^4 + 7k^3)
Take out the GCF of k^3 (from the terms in the parentheses)
11k^3 (4k^2 - 6k + 7)
.
Factor the polynomial by its greatest common monomial factor of 44k^5-66k^4+77k^3 is:
Take out the obvious GCF of 11
11 (4k^5 - 6k^4 + 7k^3)
Take out the GCF of k^3 (from the terms in the parentheses)
11k^3 (4k^2 - 6k + 7)
How do you find a monomial factor?
To find the greatest common factor (GCF) among monomials, take each monomial and write it as high factorization. Then, identify the factors commonplace to each monomial and multiply the commonplace elements collectively.
Steps to Factoring a Monomial from a Polynomial
determine the GCF of all terms within the polynomial.Write each term because of the product of the GCF and some other factor.Use the distributive property to issue out the GCF.Conclusion: factoring trivial factors greatest common factor high polynomials whole factorization big concept common monomial factoring is the procedure of writing a polynomial as a made from two polynomials, considered one of that's a monomial that elements each term of the polynomial.
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Find x, y and z for the following triangle.
Please show the steps with details, Thanks!
Answer:
x = 100°
y = 125°
z = 55°
Step-by-step explanation:
A straight line is 180°
A triangle is 180°
Solve in this order:
X: 180 - 80 = 100
Z: 180 - 80 - 45 = 55
Y: 180 - 55 = 125
Which of the ordered pairs in the form X, Y is a solution of this equation
Answer:
The first is a solution, but the second is not
Step-by-step explanation:
we know that
If a ordered pair is a solution of a linear equation, then the ordered pair must satisfy the linear equation (makes the equation true)
we have
[tex]5x-\frac{y}{3}=13[/tex]
Verify the first ordered pair
Part a) we have (2,-9)
For x=2, y=-9
substitute in the linear equation
[tex]5(2)-\frac{(-9)}{3}=13[/tex]
[tex]10-(-3)=13[/tex]
[tex]10+3=13[/tex]
[tex]13=13[/tex] ----> is true
so
The ordered pair satisfy the equation
The ordered pair is a solution of the equation
Verify the second ordered pair
Part b) we have (3,-6)
For x=3, y=-6
substitute in the linear equation
[tex]5(3)-\frac{(-6)}{3}=13[/tex]
[tex]15-(-2)=13[/tex]
[tex]15+2=13[/tex]
[tex]17=13[/tex] ----> is not true
so
The ordered pair not satisfy the equation
The ordered pair is not a solution of the equation
5) Linda picked a basket of apples. She gave half of the apples to a neighbor, then 10 apples to her mother, then half of the remaining apples to her best friend, and she kept the remaining 3 apples for herself. How many apples did she start with in the basket?
I need help this is due this Wednesday on my college math class! ASAP!!! This needs to be shown full work for full credit!!
Answer:
is it 8 apples to her mother or 10 since I had this exact problem?
Step-by-step explanation:
Ashe started with 32 apples in the basket initially.
How to find half of something ?To find the half of something just multiply 1/2 with the given value.
According to the given question Linda picked a basket of apples.
Assuming she had x apples initially.
She gave half of the apples to the neighbour,Therefore she now has (x - 1/2x) apples which is = 1/2x apples.
Then she gave 10 to her mother,So the remaining apples she has now is
= ( 1/2x - 10 ) apples
= (x - 20)/2.
Then she gave half of the apples to her best friend so the no. of apples she has now is (x - 20)/2×1/2 which is = (x - 20)/4 and she kept the remaining 3.
∴ (x - 20)/4 = 3
x - 20 = 12
x =32.
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1) Luis uses 1.6 liters of gasoline each hour he
spends mowing lawns. How much gas does he
use in 5.8 hours?
Answer:
9.28 Liters
Step-by-step explanation:
All we have to do is multiply the time by amount her time unit.
If g = 3, evaluate (solve) the following expression. 2g + 7= _____
Answer:
13.
Step-by-step explanation:
2g + 7
= 2(3) + 7
= 6 + 7
= 13.
Answer: 13
Step-by-step explanation: In this problem, we have the xpression 2g + 7 and we want to evaluate the expression when g is equal to 3.
To evaluate an expression, we simply plug the value of the variable into the expression and solve. So here, since g is equal to 3, we have 2 (3) + 7. 2 × 3 is equal to 6 so we have 6 + 7 which is equal to 13.
So the value of our expression when g is equal to 3 is 13.
Remember, when we see a variable like g next to a number, it means multiplication so you want to multiply by the value of the variable.
What type of dilation is described with equation below
Contraction. It gets smaller as the image is shrunk. It will be a fraction of the original triangle.
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12-2/3x=x-18 so how do you answer this question
Answer:
Step-by-step explanation:
I think I've already answered this question.
At the start of the month, Jodie had sold 885 copies of her new book. At the end of the month, she had sold 1,364 copies of her book. If each book profits $13.97, approximately how much did the book profit in the entire month?
Approximately $ 31419 profit is earned from selling books in entire month
Solution:
Given that Jodie had sold 885 copies of her new book
At the end of the month, she had sold 1,364 copies of her book
We have to determine the profit earned in the entire month
From given information,
Start of month sale = 885 copies
End of month sale = 1364 copies
Total copies of books sold = Start of month sold + end of month sold
Total copies of books sold = 885 + 1364 = 2249
Also given that each book profit is $ 13.97
Profit of 1 book = $ 13.97
Therefore for 2249 books, profit earned is given as:
Profit of 2249 books = $ 13.97 x 2249 = 31418.53
Therefore approximately $ 31419 profit is earned from selling books in entire month
Which of the following systems of inequalities has Point C as a solution?
A:
[tex]f(x)\leq 3x+4\\g(x)\leq -\frac{1}{2} x-5\\[/tex]
B:
[tex]f(x)\geq 3x+4\\g(x)\leq -\frac{1}{2} x-5[/tex]
C:
f(x) ≤ 3x + 4
[tex]g(x)\geq -\frac{1}{2}x-5[/tex]
D:
f(x) ≥ 3x + 4
[tex]g(x)\geq -\frac{1}{2} x-5[/tex]
Answer:
Option A.
[tex]f(x)\leq 3x+4[/tex]
[tex]g(x) \leq-\frac{1}{2}x-5[/tex]
Step-by-step explanation:
we know that
If point C is a solution of the system of inequalities, then point C must satisfy both inequalities
Point C is located below the solid line f(x) and below the solid line g(x)
so
The shaded region of the solution set of the system must be below of the inequality f(x) and must be below of the inequality g(x)
therefore
The system is
[tex]f(x)\leq 3x+4[/tex]
[tex]g(x) \leq-\frac{1}{2}x-5[/tex]
Answer:
B
Step-by-step explanation:
How do you find the least common multiple or the lcm of 10 and 8
Answer:
40
Step-by-step explanation:
Least common multiple (lcm) = the smallest multiple that both numbers have.
Let's figure it out.
10 = 2 x 5
8 = 2 x 2 x 2
the ones I have highlighted, we will multiply them all together, except for a 2.
we didn't multiply one of the 2's because they both have a two, so we only keep one of them.
so it is 2 x 5 x 2 x 2
let me say it again, because they both share a same 2, that one is eliminated.
so the answer is 40 because:
2 x 5 x 2 x 2
= 10 x 4
= 40
Answer:
Step-by-step explanation:
list the multiples of 8 and 10 and mark wich one is the lowest number
The audience thinks %30 percent of Brandon's jokes are funny.
What fraction of Brandon's jokes does the audience think are funny?
Answer:
Fraction of jokes of Brandon that are funny = [tex]\frac{3}{10}[/tex]
Step-by-step explanation:
We are given that, 30% of the Brandon's jokes are funny.
Now, to convert percent into fraction, we will multiply it by [tex]\frac{1}{100}[/tex]
Now,
[tex]30\%=30\times\frac{1}{100}=\frac{30}{100} = \frac{3}{10}[/tex]
∴ [tex]\frac{3}{10}[/tex] of the Brandon's jokes were funny.
Subtract the following.Write your answer in standard notation. 15 - 1.3 * 10^-3
Answer:
The Final Answer would be 14.9987.
Step-by-step explanation:
Given:
[tex]15-1.3\times 10^-3[/tex]
We need to Subtract the above number.
Since the larger number is standard Notation form and smaller number is in Scientific notation form
So first we will convert the Scientific notation Number in standard Notation form we get;
[tex]1.3\times 10^-3 = 0.0013[/tex]
Now Subtracting the smaller Number from larger number we get;
[tex]15-0.0013 = 14.9987[/tex]
Hence The Final Answer would be 14.9987.
What is the remainder of 428/19. I know it equals 22, but what’s the remainder
Answer:
the remainder is 10
Step-by-step explanation:
Answer:
R=10
Step-by-step explanation:
1. 428/19=22
2. R=10
Steps for checking your work:
1. Multiply the divisor by the answer (aka quotient)
2. After that, add the remainder to the answer you got from doing step 1 for checking your work (aka proudct, since you multiplied)
The sum of Ava’s and Grace’s age is 35. Ava is one year less than three times Grace’s age. How old is Grace?
Grace is 9 years old. We found this by setting up a system of equations with the information given and solving for Grace's age.
Explanation:We are given two pieces of information about Ava and Grace's ages:
The sum of Ava’s and Grace’s age is 35.Ava is one year less than three times Grace’s age.To find Grace’s age, we can set up a system of equations based on the information provided:
Let G represent Grace’s age.Let A represent Ava’s age.The first equation can be written as:
A + G = 35
From the second piece of information, we can write:
A = 3G - 1
Now, we can substitute the expression for A into the first equation:
3G - 1 + G = 35
Combine like terms:
4G - 1 = 35
Add 1 to both sides:
4G = 36
Divide by 4:
G = 9
So, Grace is 9 years old.
A garden centre has reduced the price of all plant pots by 20%. Jane bought a reduced plant pot for £40. How much would she have paid for this plant pot before the price reduction?
She paid 80% of the regular price because it was 20% off so...
80% = £40
We want to get to the regular price (100%) so...
100% = £40 x 100/80 = £50
answer: £50
Answer:he paid 80% of the regular price because it was 20% off so...
80% = £40
We want to get to the regular price (100%) so...
100% = £40 x 100/80 = £50
answer: £50
Step-by-step explanation:
Simon took out an unsubsidized student loan of $43,000 at a 2.4% APR,
compounded monthly, to pay for his last six semesters of college. If he will
begin paying off the loan in 33 months with monthly payments lasting for 20
years, what will be the amount of his monthly payment?
The amount of Simon's monthly payment, rounded to the nearest cent, is approximately $240.17.
To calculate the monthly payment for Simon's loan, we need to use the formula for an annuity, which is derived from the amortization formula for loans. The formula to find the monthly payment (M) is:
[tex]\[ M = \frac{P \times r \times (1 + r)^n}{(1 + r)^n - 1} \][/tex]
where:
- [tex]\( P \)[/tex] is the principal amount of the loan ($43,000)
- [tex]\( r \)[/tex] is the monthly interest rate (APR divided by 12)
- [tex]\( n \)[/tex] is the total number of payments (20 years times 12 months per year)
First, we need to convert the annual percentage rate (APR) to a monthly interest rate by dividing by 12:
[tex]\[ r = \frac{2.4\%}{12} = \frac{0.024}{12} = 0.002 \][/tex]
Next, we calculate the total number of payments:
[tex]\[ n = 20 \text{ years} \times 12 \text{ months/year} = 240 \text{ months} \][/tex]
Now we can plug these values into the formula:
[tex]\[ M = \frac{43000 \times 0.002 \times (1 + 0.002)^{240}}{(1 + 0.002)^{240} - 1} \][/tex]
[tex]\[ M = \frac{43000 \times 0.002 \times (1.002)^{240}}{(1.002)^{240} - 1} \][/tex]
Using a calculator, we find:
[tex]\[ (1.002)^{240} \approx 1.558 \][/tex]
Now we can calculate the monthly payment:
[tex]\[ M = \frac{43000 \times 0.002 \times 1.558}{1.558 - 1} \][/tex]
[tex]\[ M = \frac{43000 \times 0.002 \times 1.558}{0.558} \][/tex]
[tex]\[ M = \frac{134.034}{0.558} \][/tex]
[tex]\[ M \approx 240.17 \][/tex]
Therefore, the amount of Simon's monthly payment, rounded to the nearest cent, is approximately $240.17.
Answer:
241.16
Step-by-step explanation:
The expression above should be further simplified for which value of x?
Sq rt 215x
A) 35
B) 118
C) 34
D) 7
The expression √215x should be further simplified for (a) 35 as the value of x
How to determine the value of x
From the question, we have the following parameters that can be used in our computation:
√215x
Taking each value of x from the list of options, we have
√215x = √(215 * 35)
Expanding, we get
√215x = √(5 * 43 * 7 * 5)
This gives
√215x = 5√301
Next, we have
√215x = √(215 * 118)
Expanding, we get
√215x = √(5 * 43 * 2 * 59)
This gives
√215x = √(25370)
Next, we have
√215x = √(215 * 34)
Expanding, we get
√215x = √(5 * 43 * 2 * 17)
This gives
√215x = √7310
Next, we have
√215x = √(215 * 7)
Expanding, we get
√215x = √(5 * 43 * 7)
This gives
√215x = √1505
Hence, the value of x is 35