Given:
Total number of friends = 5
Total cost of all five meals = $51.94
Sales tax = 6%
To find:
The cost of one meal before tax was added.
Solution:
Let x be the cost of all five meals before tax.
Then, Amount of tax = 6% of x
According to he question,
[tex]x+\dfrac{6}{100}x=51.94[/tex]
[tex]x+0.06x=51.94[/tex]
[tex]1.06x=51.94[/tex]
Divide both sides by 51.94.
[tex]x=\dfrac{51.94}{1.06}[/tex]
[tex]x=49[/tex]
So, the cost of all five meals before tax is $49.
Divide this cost by 5 to get the cost of one meal before tax was added.
[tex]\dfrac{49}{5}=9.8[/tex]
Therefore, the cost of one meal before tax was added, is $9.8.
Please help me!!!! I will mark brainlist.
Answer:
angle 1 =135
Step-by-step explanation:
it is 180 degrees total. We know that there are two angles that have a ratio to 3:1. So, assign x to 2. Since 1 = 3x, we do 3x+x =180
4x=180
x=45 or angle 2
180-45=135 or angle 1
Multiply angle 2 by 3 to check if its correct
Answer:
the measurement of angle 1 is 135 degrees. (i think)
Step-by-step explanation:
so we know that angle 1 and 2 are at a 3:1 ratio
and that 1 and 2 add to 180 degrees
if you plug the number 45 in to angle 1, then multiply that by 3 you get 135
the remaining number to add to 180 would be angle 2
which is 45 degrees.
If the explanation is choppy or hard to read, apologies, its fairly hard for me to explain this.
however i hope this helps.
Find the equation of the line that contains the point (-1, -4) and is parallel to the line 6x+7y=13 . Write the equation in slope-intercept form, if possible.
Answer: [tex]y=-\dfrac67x-\dfrac{34}{7}[/tex]
Step-by-step explanation:
Slope-intercept form: y=mx+c (i) , of linear equations, m= slope and c= y-intercept of the line.
6x+7y=13in slope intercept form would be :
[tex]7y=13-6x\\\\\Rightarrow\ y=\dfrac{-6}{7}x+\dfrac{13}{7}[/tex]
Comparing to (i) , [tex]m = \dfrac{-6}{7}[/tex]
Slope of parallel lines are equal.
So, slope of required line = [tex]m = \dfrac{-6}{7}[/tex]
Equation of line with slope m and passes through point : [tex](y-b)=m(x-a)[/tex]
So, equation of required line:
[tex](y-(-4))=\dfrac{-6}{7}(x-(-1))\\\\\Rightarrow\ (y+4)=\dfrac{-6}{7}(x+1)\\\\\Rightarrow\ y+4=\dfrac{-6}{7}x-\dfrac{6}{7}\\\\\Rightarrow\ y=-\dfrac67x-\dfrac{6}{7}-4\\\\\Rightarrow\ y=-\dfrac67x-\dfrac{34}{7}[/tex]
Please help me very important question.
answer this question for brainliest
Answer:
y = -7x + 26
I checked it on Desmos
Question is: Solve -7(x+6)=4(x+6)
[tex]\huge\boxed{x=-6}[/tex]
Hey there! Our goal here is to isolate the variable on one side of the equation.
[tex]\begin{aligned}-7(x+6)&=4(x+6)&&\smash{\Big|}&&\textsf{Start with the original equation.}\\-7x+(-7)(6)&=4x+4(6)&&\smash{\Big|}&&\textsf{Distribute.}\\-7x-42&=4x+24&&\smash{\Big|}&&\textsf{Multiply.}\\-7x-4x&=24+42&&\smash{\Big|}&&\textsf{Move the terms.}\\-11x&=66&&\smash{\Big|}&&\textsf{Combine like terms.}\\x&=\boxed{-6}&&\smash{\Big|}&&\textsf{Divide both sides by $-11$.}\end{aligned}[/tex]
Answer: The answer is x=–6.
Step-by-step explanation: Step 1: Simplify both sides of the equation:
[tex](-7)(x)+(-7)(6)=(4)(x)+(4 )(6)[/tex] (Distributive Property)
[tex]-7x+-42=4x+24[/tex]
[tex]-7x-42=4x+24[/tex]
Step 2: Subtract 4x by the both sides: [tex]-7x-42-4x=4x+24-4x[/tex]
[tex]-11x-42=24[/tex]
Step 3: Add 42 to the both sides: [tex]-11x-42+42=24+42[/tex]
[tex]-11x=66[/tex]
And step 4: Divide both sides by -11: [tex]\frac{-11x}{-11}=\frac{66}{-11}[/tex], [tex]x=-6[/tex].
I hoped this formula step-by-step is very helpful, please mark me as brainliest, and have a happy holidays! :D
The temperature is -10 degrees and increases 5 degrees. What temperature is it now.
Answer:
-5 degrees
Step-by-step explanation:
-10+5= -5
Answer:
-5 degrees
Step-by-step explanation:
Current temperature = initial temperature + increased temperature
Current temperature = [tex]-10+5[/tex]
Current temperature = [tex]-5[/tex]
.........................
Answer:
what is this? need some explanations
Answer:
what r u trying to explain
4.5x10^2 in standard notation
Answer:
450
Step-by-step explanation:
Answer:
450
Step-by-step explanation:
Combine and simplify the following radical expression. 3^ square root 6 x 3^ square root 4
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[tex] {3}^{ \sqrt{6} } \times {3}^{ \sqrt{4} } = [/tex]
[tex] {3}^{ \sqrt{6} } \times {3}^{2} = [/tex]
[tex] {3}^{ \sqrt{6} + 2 } = {3}^{2 + \sqrt{6} } [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Savvas Realize
In Allentown, Pennsylvania, there are two hamburger shops, Jenny's Burgers and the Burger Hut. Jenny's Burgers sells a record 36 burgers in 5 hours. The next day, Burger Hut broke the record for 108 burgers in 5 hours. How many times more is the record of Burger Hut then Jenny's Burgers?
How do you know?
Answer: the record is 3 times higher
Step-by-step explanation:
The record Jenny's Burgers sold was:
36 burgers in 5 hours
The record Burger Hut sold was:
108 burgers in 5 hours
We have to divide the record of Burger Hut by Jenny's Burgers.
108 divided by 3 is 36.
So, the record is 3 times higher. Hope this helps!
Answer:
3 times the quantity
Step-by-step explanation:
108 divided by 36 equals 3 times the quantity
Which team has the best record? Explain how you know. a. Jules' Rules; For every three games that they played, they only lost 1. b. High-5s; For every nine games that they played, they only lost 1. c. Pink Sox; For every four games that they played, they only lost 1. d. Go-Girls; For every ten games that they played, they only lost 1.
Answer:
D. Go-Girls; For every ten games that they played, they only lost 1.
Step-by-step explanation:
They win nine games and lose one
9:1 is the ratio
d. Go-Girls; For every ten games that they played, they only lost 1 and performed the best.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Let, The numerator of a fraction represents the number of games lost and the denominator represents the total number of games played.
Therefore, The fractions that represent this context for all the teams are,
1/3, 1/9, 1/4 and 1/10.
We know the value of a fraction increase with the same numerator and smaller and smaller denominator.
So, The fraction 1/10 has the least value which indicates that it is the best performer.
learn more about fractions here :
https://brainly.com/question/10354322
#SPJ5
120-75+105 please do it in order
Answer:
150
Step-by-step explanation:
Answer:
150
Step-by-step explanation:
120-75=45
45+105=150
120-75+105=150
.......................................................
Answer:
............................................................
Step-by-step explanation:
Answer:
................................................................
Reasoning How can you find the slope of the
line that passes through the points (0, 0) and
(2, 4)? Explain.
For the function f(x) = 3(x - 1)2 + 2, identify the vertex, domain, and range.
The vertex is (1, 2), the domain is all real numbers, and the range is y> 2.
The vertex is (1, 2), the domain is all real numbers, and the range is y < 2.
O The vertex is (-1, 2), the domain is all real numbers, and the range is y> 2.
The vertex is (-1,2), the domain is all real numbers, and the range is ys 2.
Answer:
8
Step-by-step explanation:
Answer:D is incorrect
109 is 63% of what? Thx.
Answer:
109 is 63% of 173.02
Step-by-step explanation:
Let 109 = 63% of x
Thus;
63/100 * x = 109
63x = 10900
x = 10,900/63
x = 173.02
12/75=x/120 What is x?
Answer:
x = 18
Step-by-step explanation:
Answer:
19.2
Step-by-step explanation:
120/75=1.6
12 times 1.6=19.2
Sam takes out a $167,000 mortgage for 20 years. He makes monthly payments and at the end calculates that he has paid $240,141 towards the mortgage. What is the approximate APR?
3%
4%
6%
7%
Answer:
About 3%
Step-by-step explanation:
3% of $167,000 is $5,010
5010 times the 20 years is 100200 add that to the 167000 and you get $267,200
The actual answer is about 2.4% but 3% is the closest.
I WILL GIVE BRAINLIEST! PLEASE TAKE YOUR TIME!
Use the order of operations to evaluate the expression below.
12 + 24 / 10 - 4) x (9 - 7) - 17
Answer:
-27.6
Step-by-step explanation:
I'm smart but probably shouldn't use my answer
help ;w;
Daniel rode his bicycle from Barton to Wells along the path shown on this map.
If it took Daniel 5 hours to complete the trip, what was his average speed in miles per hour?
triangle TCL is similar to triangle AEN. solve for x and y
Answer:
y = 6.7
x = 8
Step-by-step explanation:
3^2 + 6*2 = y
√9 + 36 = y
6.7 = y
10^2 = 6^2 + x
100 = 36 + x
100 (-36) = 36 (-36) +x
√64 = x
8 = x
Brooke needs a new computer. On Friday, the computer was $200.00. On Saturday, the price of the computer was $149.00. Determine if there was a markup or markdown and by what percent.
Answer:
Step-by-step explanation:
Given
price of the computer on Friday = $200
price of the computer on Saturday = $149
Difference in price = 200 - 149 = $51
Since the price reduces in price by $51, hence there was a markup in price.
% markup = difference in price/original price * 100%
% mark up = 51/200*100%
% markup = 51/2
% markup = 25.5%
Hence the markup was a 25.5% change
Answer:
25.5 is the answer..........................................................
Step-by-step explanation:
Tell a folk story about the history of irrational numbers. Research what is known about irrational numbers, their development, and why they are important.
Answer:
The history of irrational numbers, The discovery of irrational numbers is usually attributed to Pythagoras, more specifically to the Pythagorean Hippasus of Metapontum, who produced a (most likely geometrical) proof of the irrationality of the square root of 2. The story goes that Hippasus discovered irrational numbers when trying to represent the square root of 2 as a fraction. However Pythagoras believed in the absoluteness of numbers, and could not accept the existence of irrational numbers. He could not disprove their existence through logic, but his beliefs would not accept the existence of irrational numbers and so he sentenced Hippasus to death by drowning. Irrational numbers are important because without it we wouldn't have the continuum of real numbers which would make geometry impossible to do in life.
Step-by-step explanation:
Find the surface area of the rectangular prism.
1 mi
1 mi
5 mi
Answer:
20mi[tex]1^{2}[/tex]
Step-by-step explanation:
Well, I'm guessing that the 1mi by 1mi is the two square sides and 5 mi is the length of the rectangular part
So with that information, the two surface areas of the squares would be 1mi[tex]1^{2}[/tex]+1mi[tex]1^{2}[/tex] is 2mi[tex]1^{2}[/tex]
And then the four rectangular sides would be 5mi[tex]1^{2}[/tex] *4 = 20mi[tex]1^{2}[/tex]
in conclusion
20mi[tex]1^{2}[/tex]
1/3 of the sum of 2 numbers is 20.One of the number is 32.What is the other number?
Solve the following equation for x.
5/8x +4 = 3/8x +12
Answer:
x=32
Step-by-step explanation:
8(5/8x+4 = 3/8x+12)
5x+32=3x+96
2x+32=96
2x=64
x=32
Answer:
x = 32
Step-by-step explanation:
5/8x + 4 = 3/8x + 12
subtract 3/8 from both sides
2/8x + 4 = 12
simplify
1/4x + 4 = 12
subtract 4 from both sides
1/4x = 8
multiply each side by the reciprocal of 1/4
4/1 • 1/4x = 8 • 4/1
solve
x = 32
PLEASE HELP PLEASE HELP 19 POINTS...PLEASE HELP
Answer:
-3/2
Step-by-step explanation:
Rise = -3
Run 2
Answer:hiiiii
Step-by-step explanation:
lol
What is the missing number from the following sequence?
4 7 11 18 29 47 __ 123 199 322
Answer: 76
Step-by-step explanation: 29 + 47
PLS HELP I AM RunNInG LOW ON PONITS AND WONT BE ABLE TP REPOst
Answer:
The answer would be D.
Step-by-step explanation:
identify the equation in the point-slope form the line parallel to y=3/4x-4 that passes through (-1,7)