Answer:
The total they paid was $58.8685
Step-by-step explanation:
Let us solve the question using the percentage method
∵ Sergio went to dinner with his brother
∵ The bill was $51.19
∵ They left a 15% tip
→ That means they pay extra money 15% of $51.19
∴ The total they paid = the bill + 15% of the bill
∵ 15% of the bill = 15% × 51.19
→ Change 15% to a decimal by divide it by 100
∴ 15% of the bill = [tex]\frac{15}{100}[/tex] × 51.19
∴ 15% of the bill = 0.15 × 51.19
∴ 15% of the bill = $7.6785
→ Substitute it in the total they paid
∵ The total they paid = 51.19 + 7.6785
∴ The total they paid = $58.8685
∴ The total they paid was $58.8685
Answer:
131.15
Step-by-step explanation:
The buildings of a university are mapped on a coordinate grid with the origin being at library.
The Math building is located at the point (1, 5) and the History building is located at (4, 9).
How far is it from the Math building to the History building?
Applying the distance formula, the distance between the the Math building to the History building is: 5 units.
What is the Distance Formula?To find the distance between two given points on a coordinate grid, the distance formula which is used is: [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex].
Given the following:
Math Building (1, 5) = (x1, y1)History building (4, 9) = (x2, y2).Plug in the values into the distance formula:
d = √[(4−1)² + (9 − 5)²]
d = √[(3)² + (4)²]
d = √(9 + 16)
d = √25
d = 5
Distance between the the Math building to the History building is: 5 units.
Learn more about the distance formula on:
https://brainly.com/question/20978526
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I need help ASAP please help me
Answer:
y=2x
Step-by-step explanation:
It goes up by 2 units every x value so
Answer:
y=2x is your correct answer
Step-by-step explanation:
I’d really appreciate your help for this question!!
Answer:
Step-by-step explanation:
the reason the questions may not be making sense to you is that there is a mistake in the written question they say 2 and 6 but meant 20 and 60.... and if that was the question the f(x) = 11x + 1 best describes that
Select the options that are equivalent to4(3x+3)
Answer:
12x+12 would be your answer if your distributing.
By selling a T.V for ₹34,500 a shopkeeper makes a profit of 15%. Find the cost price of T.V set.
Choose the correct horizontal asymptote of f(x)=X +3/x² + 4
Answer:
I need the options mate to chose which is correct
Step-by-step explanation:
Find the commission.
Earning Commission
Sales Commision Rate Commission
$540
8%
?
The commission is $
Answer:
The commission is $43.20
Step-by-step explanation:
Given that:
Amount of sales = $540
Commission rate = 8%
We have to find the amount of commission from the sales of $540.
Amount of commission = 8% of sales
Amount of commission = [tex]\frac{8}{100}*540[/tex]
Amount of commission = 0.08 * 540
Amount of commission = $43.20
Hence,
The commission is $43.20
What is the result of adding these two equations?
2x + 3y = -5
5x - y=-12
Answer:
7x + 2y = -17
Step-by-step explanation:
1. John’s age is three times that of his sister. When you add John’s age to his sister's age, you get 36. How old are John and his sister?
(a) Write an equation that represents the situation. (1 point)
(b) Solve the equation from Part (a). Show your work. (3 points)
Answer:
Part A: Write an equation.
If the present age is y, then n times the present age = ny.
If the present age is x, then age n years later/hence = x + n.
If the present age is x, then age n years ago = x – n.
The ages in a ratio a: b will be ax and bx.
Part B: Solve the equation.
John’s age =
John’s sister’s age =
Answer:
sister = 6 years
John=18 years
Step-by-step explanation:
A(S) + 12 = 3 * A(S), subtracting A(S) from both sides one gets 12 = 2 * A(S). Now dividing both sides by 2 we get A(S) = 12/2 = 6 . Therefore, the age of the sister is 6 years when her brother John is three times as old, that is 18 years.
Answer:
36-x=y
y*3=x
x+y=36
Step-by-step explanation:
I wasnt really sure how to write the equation the way you're supposesd to?
John is 27 and his sister is 9. 9*3=27
I just used guess and check sorry
If p is inversely proportional to the square of q, and p is 30 when q is 10 determine p when q is equal to 5
Answer:
The value of p = 120 when q = 5
Step-by-step explanation:
We know that if y varies inversely with x, we get the equation
y ∝ 1/x
y = k/x
k = yx
where 'k' is called the constant of proportionality.
In our case,
If p is inversely proportional to the square of q, then
p ∝ 1/q²
p = k/q²
k = pq²
As p is 30 when q is 10, so
substituting p = 30 and q = 10
k = (30) (10)²
k = (30)(100)
k = 3000
Now,
Determining the value of p when q = 5
Using the equation
p = k/q²
now substituting k = 3000 and q = 5
p = 3000 / (5)²
p = 3000/25
p = 120
Therefore, the value of p = 120 when q = 5
Simplify the expression. -2/3c -9/5 + 14c + 3/10
Answer:
[tex]13 \frac{1}{3} c - 1 \frac{1}{2} [/tex]
Step-by-step explanation:
We want to combine alike terms so
-2/3c+14c & -9/5+3/10
14c-2/3
[tex] \frac{14}{1} c - \frac{2}{3} c[/tex]
Multiply 14/1 by 3/3 to get the denominators the same
[tex] \frac{42}{3} c - \frac{2}{3} c[/tex]
Subtract
[tex] \frac{40}{3} c[/tex]
simplify
[tex]13 \frac{1}{3} c[/tex]
now
[tex] \frac{3}{10} - \frac{9}{5} [/tex]
Multiply 9/5 by 2/2
[tex] \frac{3}{10} - \frac{ 18}{10} [/tex]
Subtract
[tex] - \frac{15}{10} [/tex]
Simplify
[tex] - 1 \frac{1}{2} [/tex]
put both together
[tex]13 \frac{1}{3}c - 1 \frac{1}{2} [/tex]
Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!
Answer:
40/3 c-3/2
Step-by-step explanation:
calculate the sum
-2/3c-9/5+14c+3/10
40/3c -9/5+3/10
40/3c-3/2
=40/3c-3/2
Solve |2x - 3|< 7 help pls!!
Answer:
I think it is c, sorry if I am wrong.
Answer:
-2<=x<=5
Step-by-step explanation:
|2x - 3|< =7
-7<=2x-3<=7
-4<=2x<=10
-2<=x<=5
will give brainliest!!
Help pls it graphing inequalities
Answer:
I can't see it clearly but I can explain to you how to graph it on a number line :)
Step-by-step explanation:
Imagine the sign pooping the other way. Like > ___ The sign is pooping a LINE where the shorter angle is. So if the inequality was x>3 , You would put a dot on the 3 and do a line going right. Now to figure out if the dot is open or closed, it depends on the sign. If the sign is open, the sign is either > or <. If it is closed, the sign is either ≥ or ≤.
Please help!! It’s due within 10 minutes and I don’t get it :(
Answer:
Step-by-step explanation:
22. Area = L x B
Area = (5a^2b^4) x (3ab^2)
Area = 15a^3b^6
Perimeter = L + B
Perimeter = (5a^2b^4) + (3ab^2)
Preimeter = 5a^2b^4 + 3ab^2
23. Area = 1/2 bh
Area = 1/2 (3mn^2) x (4m^2)
Area =6m^3n^2
Perimeter = L + B + H
Perimeter = 3mn^2 + 4m^2 + 7mn^2
Perimeter = 10mn^2 + 4m^2
6th grade math please help!
Answer:
A
Step-by-step explanation:
Answer:
A represents the position of -2.2
Simplify the expression below:
4(n-3) - 2(-3 + x)
Answer:
4n-2x-6
Step-by-step explanation:
Let's simplify step-by-step.
4(n−3)−2(−3+x)
Distribute:
=(4)(n)+(4)(−3)+(−2)(−3)+(−2)(x)
=4n+−12+6+−2x
Combine Like Terms:
=4n+−12+6+−2x
=(4n)+(−2x)+(−12+6)
=4n+−2x+−6
Answer:
=4n−2x−6
solve for t. -6 - t = -3t
Answer:
T = 3
Step-by-step explanation:
7. Given the function f(x)= x - 3x +4, evaluate f(5)-|(2).
What is 16/100 as a decimal?
Answer:0.16
Step-by-step explanation:16/100 as a decimal is 0.16.
Answer:
0.16
Step-by-step explanation:
16 ÷ 100 = 0.16 hope this helps
Solve for t. 5 (t + 3) = -3.5 Enter the answer in the box.
Answer:
i believe its 3t + 5 = -3.5
Marilyn is having shelves installed to create a corner pantry. The length of one wall is 21 inches and the measure of the angle opposite the short side of the pantry, m∠A = 40°. The contractor who is making the shelves, which are shaped like right triangles, needs to know the length of the other wall. The length of the other wall is inches. Round your answer to the nearest integer.
Answer:
40° or 40.03 degrees or 25 inches as nilla mentioned.
Pls help and show workings
It due ASAP
Plsssssssssss
Answer:
SAS is the proper answer because they both have two sides and a angle. (Answer C)
Answer:
B.
Step-by-step explanation:
SAS
Side - angle-side.
Plz help with full process
[tex] \frac{(a - b)^{2} - {c}^{2} }{{a}^{2} - {(b+ c)}^{2} } + \frac{(b - c)^{2} - {a}^{2} }{{b}^{2} - {(c+ a)}^{2} } + \frac{(c - a)^{2} - {b}^{2} }{{c}^{2} - {(a+ b)}^{2} }[/tex]
Answer:
[tex]\displaystyle \frac{(a - b)^{2} - {c}^{2} }{{a}^{2} - {(b+ c)}^{2} } + \frac{(b - c)^{2} - {a}^{2} }{{b}^{2} - {(c+ a)}^{2} } + \frac{(c - a)^{2} - {b}^{2} }{{c}^{2} - {(a+ b)}^{2} }=1[/tex]
Step-by-step explanation:
Algebra Simplifying
We are given the expression:
[tex]\displaystyle T=\frac{(a - b)^{2} - {c}^{2} }{{a}^{2} - {(b+ c)}^{2} } + \frac{(b - c)^{2} - {a}^{2} }{{b}^{2} - {(c+ a)}^{2} } + \frac{(c - a)^{2} - {b}^{2} }{{c}^{2} - {(a+ b)}^{2} }[/tex]
We need to repeatedly use the following identity:
[tex](a^2-b^2)=(a-b)(a+b)[/tex]
For example, the first numerator has a difference of squares thus we factor as:
[tex](a - b)^{2} - {c}^{2} =(a-b-c)(a-b+c)[/tex]
The first denominator can be factored also:
[tex]{a}^{2} - {(b+ c)}^{2} = (a-b-c)(a+b+c)[/tex]
Applying the same procedure to all the expressions:
[tex]\displaystyle T=\frac{(a - b- c)(a-b+c) }{a-b-c)(a+b+c) } + \frac{(b - c - a)(b-c+a) }{(b-c-a)(b+c+a) } + \frac{(c - a-b)(c-a+b) }{(c-a-b)(c+a+b)}[/tex]
Simplifying all the fractions:
[tex]\displaystyle T=\frac{a - b- c}{a+b+c} + \frac{b-c+a}{b+c+a } + \frac{c-a+b }{c+a+b}[/tex]
Since all the denominators are equal:
[tex]\displaystyle T=\frac{a - b+ c+b-c+a+c-a+b}{a+b+c}[/tex]
Simplifying:
[tex]\displaystyle T=\frac{a +c+b}{a+b+c}[/tex]
Simplifying again:
T = 1
Thus:
[tex]\boxed{\displaystyle \frac{(a - b)^{2} - {c}^{2} }{{a}^{2} - {(b+ c)}^{2} } + \frac{(b - c)^{2} - {a}^{2} }{{b}^{2} - {(c+ a)}^{2} } + \frac{(c - a)^{2} - {b}^{2} }{{c}^{2} - {(a+ b)}^{2} }=1}[/tex]
Answer:
Siblings r annoying
Step-by-step explanation:
find 30% of 70
please help
Answer:
21
Step-by-step explanation:
HA GODE
. A model boat is 5 inches long.
The actual boat is 45 feet long.
What is the scale of the model?
Answer:
Every inch is equal to 9 feet
Step-by-step explanation:
45/5= 9
Could someone please help me with this?
Answer:
16 and 22.5
Step-by-step explanation:
To find the mean, simply add all the numbers together and divide by the amount of values that are present in the data set.
1.) (20 + 15 + 19 + 16 + 10)/5 = 16
2.) (19 + 23 + 11 + 30 + 27 + 27 + 22 + 26 + 16 + 24)/10 = 22.5
Solve the following:
1 - .008 =
Answer:
0.992
Step-by-step explanation:
do you not have a calculator
Answer:
0.992
Step-by-step explanation:
1 - 0.008 = 0.992
6(g+17)= ...... ............................................................................
Answer:
6g + 102
Step-by-step explanation:
Andrew writes 1/7 of a page in 1/7 of a minute. How much time, in minutes, does it take him to write a full page? Type your answer as a fraction. If it is improper, change it to a mixed number. Do not include "minutes" in your answer.
Answer: 1
Step-by-step explanation:
From the question, we are informed that Andrew writes 1/7 of a page in 1/7 of a minute. The number of minutes that would take for him to write a full page would be:
= 1/7 ÷ 1/7
= 1/7 × 7/1
= 7/7
= 1 minutes
= 1
