Answer:
Substitution Property
Step-by-step explanation:
The change from the first equation to the final equation is m∠A has been replaced by m∠B. In other words, m∠B was substituted for m∠A.
Answer:
Substitution property
Step-by-step explanation:
Have a nice day!
A graph of the Soaring Cupcake’s cost per cupcake is shown below. The graph shows a relationship between the number of cupcakes purchased, n, and the total cost of the order, t. The Soaring Cupcake charges a $15 initial fee and then $3.00 for every cupcake purchased. What is the total cost for 15 cupcakes? What is the total cost for 10 cupcakes? How many cupcakes can you order for $30? Write a function rule in function notation for the situation using the variables t and n: A.) Does an input value of 4 make sense for this situation, why? B.) Does an input value of 5.2 make sense for this situation, why?
Answer:
1) $60
2) $45
3) 5 cupcakes ;; function for situation is 30(n)=3n+15
3A) No
3B) No
Step-by-step explanation:
the function is f(x)=3x+15 where x= cupcakes
To find total cost for 15 cupcakes, simply look at the graph or if you don't trust your eyeballing skills, you would calculate it by:
f(15)=3x+15 meaning plug 15 into the equation which equal $60
same for 10 cupcakes
f(10)=3(x)+15 equals $45
# of cupcake order for $30
using the graph we can see that for $30 we can purchase 5 cupcakes
the function for the situation is 30(n)=3n+15
A) No it would not make sense because after substituting 4 for the n, it does not equal to 30
B) Yes it would make sense because substituting 5.2 for n, it equal to $30.6 or $30
what is 3 3/4 as a decimal
Answer:
3.75
Step-by-step explanation:
Answer: 3.75
Step-by-step explanation: 3/4=.75 so add 3 and you get 3.73
Tickets to the movies are $7 for adults and $4 for children. If 272 tickets
sold $1694, then how many of each type were sold?
Answer:
202 tickets for adults were sold and 70 tickets for children are sold.
Step-by-step explanation:
Solve this question using simultaneous linear equation.
•Let the number of tickets sold for adults be a
•Let the number of tickets sold for children be b
The question stated that 272 tickets were sold altogether. So:
[tex]a + b = 272[/tex]
Now, make sure that only one of the unknown values remain on the left hand side. For example:
[tex]a = 272 - b[/tex]
I will refer to the above equation as equation 1.
Now, the question also stated that the tickets sold $1694. This means that:
[tex]7a + 4b = 1694[/tex]
I will refer to this equation as equation 2.
Now, substitute equation 1 into equation 2 by replacing the a in equation 2 with the values on the right hand side in equation 1. For example:
[tex]7(272 - b) + 4b = 1694[/tex]
Then just solve the equation by finding the value of b.
[tex]7(272 - b) + 4b = 1694 \\ 1904 - 7b + 4b = 1694 \\ 1904 - 3b = 1694 \\ 1904 - 1694 = 3b \\ 210 = 3b \\ b = 210 \div 3 \\ = 70[/tex]
Lastly, find the value of a. Just take the value of b and then substitute into equation 1.
[tex]a = 272 - b \\ = 272 - 70 \\ a = 202[/tex]
In the answer space below, provide one of the two positive integers whose product is 196 and whose sum is a minimum.
Answer:
14
Step-by-step explanation:
The value of two positive integers are 14 and 14.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Product of two positive integers are 196.
Sum of two positive integers are minimum.
Now,
Let two positive integers are x and y.
Since, Product of two positive integers are 196.
So, we can formulate;
xy = 196 ... (i)
And, Sum of two positive integers are minimum.
So, we can formulate;
s = x + y
From equation (i);
y = 196/x
Substitute in above equation, we get;
s = x + y
s = x + 196/x
Differentiate with respect to x as;
d/dx (s) = d/dx(x + 196/x)
ds/dx = 1 - 196/x² ... (ii)
Substitute ds/dx = 0, we get;
ds/dx = 1 - 196/x² = 0
1 - 196/x² = 0
1 = 196/x²
x² = 196
x = ± 14
Differentiate equation (ii) again;
d²s/dx² = 0 - (-2 × 196)/x³
d²s/dx² = 392/x³
At point x = 14,
d²s/dx² = 392/8³ > 0
Hence, At x = 14, the value is minimum.
So, we get;
xy = 196
at x = 14
y = 196/14
y = 14
Hence, The value of two positive integers are 14 and 14.
Learn more about the product visit:
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What is the slope between the points (3,1) and (4,-1)
Answer:
Step-by-step explanation:
(-1 - 1)/(4 - 3)= -2/1= -2
y - 1 = -2(x - 3)
y - 1 = -2x + 6
y = -2x + 7
Answer:
-2
Step-by-step explanation:
-1 -1
4-3
-2/1= -2
Evaluate a−b+3c when .a=4, b=−2, and c=3. a−b+3c =4−( )+3∙ =4+ + =
Answer:
15
Step-by-step explanation:
4-(-2)+3(3)
4+2+9
15
Steps to solve:
a - b + 3c; a = 4, b = -2, c = 3
~Substitute
4 - (-2) + 3(3)
~Simplify
4 + 2 + 9
~Add
6 + 9
~Add
15
Best of Luck!
what is the additive of p when p = -19.57
The additive inverse of a number is just the opposite of the given number. For example; 2 and the additive inverse is -2.
If we apply this to the number we are given, we get 19.57
Best of Luck!
How I can solve this quadratic equation using the quadratic formula? x2 + 4x = 5.
Answer:
Step-by-step explanation:
x^2 + 4x - 5 = 0
-4/2 + (sqrt(16 - 4(1)(-5)))/2
-2 + (sqrt(16+20)/2
-2 + (sqrt(36)/2
-2 + 6/2
-2 + 3
-2 + 3 = 1
-2 - 3 = -5
Must show all work for 15 points
Answer:
Hey there!
a)
10x-1=4x+2
6x-1=2
6x=3
x=1/2 cm.
10x-1=4 cm.
So the width of the rectangle is 10/4, or 2.5 cm.
b)
l=3w
2l+2w=24
2(3w)+2w=24
6w+2w=24
8w=24
w=3
l=9
The are is 27 units squared.
Let me know if this helps :)
Help plzzzz I need help ASAP thank you
Answer:
D
Step-by-step explanation:
S=Ut + 1\2 at^2
U=10 a=-2 t=1\2
Work out the value of S
Hope u guys get this!
Find the surface area of the
triangular prism.
138 because take 6×8×.5×2 + 7×10×.5+ 7×8×.5 + 6×7×.5 to get 138 square neters
How would you go about simplifying 5,759 over 999?
Answer:
it can't be simplified.
Step-by-step explanation:
Maria earns $80 per day working at a gas station. Write an algebraic expression to represent the amount of money she will earn in d days.
Answer:
The algebraic expression is 80d
Step-by-step explanation:
Maria's earnings per day = $80
Number of days= d
Total earnings for d days:
80d
Where,
80 is earnings per day
d is number of days
The algebraic expression is 80d
Algebraic equation is
y= 80d
Where
y= total income earned in d days
The expression is different from am equation because of the equal to sign(=)
Consider the Conditional Statement shown.
If a student plays the trumpet, then the student is in the school band.
Which is a counterexample to this Conditional Statement.
A student can play the trumpet, but not be in the school band
O A student can be in the band, but not play the trumpet
O A student may play the trumpet and still be in the school band
A student may not be in the band and not play the trumpet
Answer:
A student can play the trumpet, but not be in the school band
Step-by-step explanation:
A counterexample would prove the conditional false. That will be the case when the condition is met, but the conclusion is wrong. Such a case is ...
A student can play the trumpet, but not be in the school band
4 - 3x = 8 - 4x Plz answer this question
Answer:x=4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
4−3x=8−4x
4+−3x=8+−4x
−3x+4=−4x+8
Step 2: Add 4x to both sides.
−3x+4+4x=−4x+8+4x
x+4=8
Step 3: Subtract 4 from both sides.
x+4−4=8−4
x=4
Answer:
x=4
Step-by-step explanation:
4-3×=8-4x
4-8=-4x+3x
-4=-×
x=4
(both side have negative so you just cancel out the negative sign)
can someone please simply teach me what mean, median, and mode is pls pls pls
Mean is when you sum up all the numbers in a data set and divide that sum with the total amount of numbers in the data set.
Median is the middle number of a data set.
Mode is the number that shows up the most in a data set.
Best of Luck!
Answer:
The mean is the average of a data set. The mode is the most common number in a data set. The median is the middle of the set of numbers.
Step-by-step explanation:
i hope you get it.
Central Park in New York City is shaped like a rectangle. On a map of the park
in the coordinate plane, three of the vertices are located at (-1.25, -0.25),
(-1.25, 0.25), and (1.25, 0.25). Distances on the map are in miles. What is the
perimeter of Central Park? Show your work,
Answer:
6
Step-by-step explanation:
Given that the coordinate plane, three of the vertices of the rectangle are located at (-1.25, -0.25),
(-1.25, 0.25), and (1.25, 0.25)
The length L of the shape will be:
L = 0.25 - ( - 0.25 )
L = 0.25 + 0.25
L = 0.5
The width of the shape will be:
W = 1.25 - ( - 1.25)
W = 1.25 + 1.25
W = 2.5
Perimeter P = 2L + 2W
Substitute the Length and the width into the formula
P = 2(0.5) + 2(2.5)
P = 1 + 5
P = 6 metres
Therefore, the perimeter of the shape is 6 metres
A building contractor estimated the cost of construction on a house would be between
$235.000 and $297,000. He has already spent $164,000. How much more can he spend
and remain within his budget?
Help please
Answer:
$133,000
Step-by-step explanation:
The upper end of the contractor's budget is $297,000. If he has already spent $164,000, he can spend as much as ...
$297,000 -164,000 = $133,000
without exceeding his budget.
He can spend $133,000 more and remain within budget.
__
Additional comment
Of course, he'd like to come in at the low end of the cost range, so would be very happy to spend only $71,000 more.
Tai’s baby brother weighs 3,745 grams. What is his weight in kilograms? A. 0.3745 kg B. 3.745 kg C. 37.45 kg D. 374.5 kg
Answer:
My answer to the question is 3.745kg.
Option B
The required weight of Tai's baby brother weighs 3,745 grams in kilograms is 3.745 kg. Option B is correct.
Given that,
Tai’s baby brother weighs 3,745 grams. What is his weight in kilograms is to be determined.
A kilogram is the standard unit of measurement of weight.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
1 kilogram = 1000 gram
1 gram = 1 / 1000 kilogram
Multiply both side by 3,745
3,745 gram = 3,745 / 1000 kilogram
3,745 gram = 3.745 kilogram
Thus, the required weight of Tai's baby brother weighs 3,745 grams in kilograms is 3.745 kg. Option B is correct.
Learn more about arithmetic here:
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HELLPPPPPPP ASAPPPP PLEASEEEE
Answer:
2. f(-7)= -3(-7)-2
21-2
=19
10. h(1)= | 1-7(1) |
|-6|
=6
11. h(-7) =|1-7(-7)|
|1-49|
|-48|
=48
12. [23-h(9) =|1-7(-9)|]
h(9) =|1-7(9)|
|-62|
23-62
=39
Step-by-step explanation:
What are the next 3 numbers in the pattern: 10, 11, 13, 16, 20 ... *
Answer:
25, 31, 38
Step-by-step explanation:
The first differences are increasing by 1 each time. The next differences will be 5, 6, 7, so the next numbers will be 25, 31, 38.
Answer:
The answer is 25 and 31. The pattern is adding the numbers 1, 2, 3 every time it goes up. For example. 10+ 1 = 11, 11 + 2 = 13, 13 + 3= 16, 16+ 4 = 20... and so on. Thus you would add 20 + 5 and get the answer 25. THEN you would add 25 + 6 and get 31.
Answers: 25, 31
Hope that helps
Martin decided to buy 2 bags of grapes weighing 5 and two-thirds pounds each, instead of the 3 bags weighing 4 and one-fifth pounds each, because the bigger bags were on sale. Did he end up with more grapes or less grapes by buying the bigger bags?
Answer:
Martin ended up buying less grapes by buying the bigger bag.
Step-by-step explanation:
5 ⅔ + 5 ⅔ = 10 4/6
4 ⅕ + 4 ⅕ + 4 ⅕ = 12 3/15
Answer:D
Step-by-step explanation: hope this helps
Create a problem with at least 6 terms(numbers) that
would equal to -10. Try to create something different
than what others have created.
Answer:7+3=10 4+6=10 2+8=10 12-2=10 14-4=10 20-10=10 10+0=10
Step-by-step explanation:
True or False: If your expression contains more than one set of parentheses, you should evaluate all of them before doing anything else.
Admission to the fair costs $5. Each ticket for a ride costs $1.50. You have $20 to spend at the fair on admissions and rides. Express the number of tickets you can buy as an inequality.
1. Simplity the following into lowest term
3x - 2 - 2x
Answer:
x-2
best of luck!
Lani’s father is paying for a $20 meal. He has a 15%-off coupon for the meal. After the discount, a 7% sales tax is applied to the discounted price. What does Lani’s father pay for the meal? $_________
Answer:
18.19
Step-by-step explanation: hope this helps
What is the following expression when simplified 5x + 8(5 + 2x)?
Answer:
5x+56
Step-by-step explanation:
5x+8(5+2)
5x+8(7)
3(x−2)=9 :solve for x?
Answer:
x=5
Step-by-step explanation:
3(x−2)=9
Divide both sides by 3.
x-2=9/3
Divide 9 by 3 to get 3.
x−2=3
Add 2 to both sides.
x=3+2
Add 3 and 2 to get 5.
x=5
Answer:
5
Step-by-step explanation: