The solution is
The total amount for the lunch is given by the equation A = $ 45.648
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total amount for the lunch be represented as A
Now , the equation will be
The amount for the first lunch = $ 12.35
The amount for the second lunch = $ 14.22
The amount for the third lunch = $ 11.47
The percentage of tip = 20 %
So , the total amount for the lunch without tip = $ 12.35 + $ 11.47 + $ 11.47
On simplifying the equation , we get
The total amount for the lunch without tip = $ 38.04
The amount of tip = total amount for the lunch without tip x percentage of tip
Substituting the values in the equation , we get
The amount of tip = 38.04 x ( 20/100 )
The amount of tip = 38.04 x 0.20
The amount of tip = $ 7.608
So ,
The total amount for the lunch A = total amount for the lunch without tip + amount of tip
Substituting the values in the equation , we get
The total amount for the lunch A = $ 38.04 + $ 7.608
The total amount for the lunch A = $ 45.648
Therefore , the value of A is $ 45.648
Hence , the total amount is $ 45.648
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each chicken coop can hold 8 chickens what's the maximum of chickens that can fit in 7 Coops?
Answer:
56
Step-by-step explanation:
each can fit 8 chickens so that means that 7 coops can fit 56 chickens
8×7=56
What is the slope-intercept form of the linear equation 2x - 8y = 32?
(Don't forget to simplify fractions if possible)
Answer:
y = 1/4x + 4
Step-by-step explanation:
2x - 8y = 32
-2x -2x
-8y = -2x + 32
divide everything by -8
so that y becomes positive
answer : Y = 1/4x + 4
The slope-intercept form of the linear equation 2x - 8y = 32 is y = (1/4)x - 4.
Given is an equation of a line 2x - 8y = 32, we need to convert it into slope-intercept form of the linear equation.
The slope-intercept form of a linear equation is given by y = mx + b, where m represents the slope of the line and b represents the y-intercept.
To convert the equation 2x - 8y = 32 into slope-intercept form, we need to isolate y on one side of the equation.
Let's rearrange the given equation to solve for y:
2x - 8y = 32
Subtract 2x from both sides:
-8y = -2x + 32
Divide both sides by -8:
y = (2/8)x - 4
Simplifying further, we get:
y = (1/4)x - 4
So, the slope-intercept form of the linear equation 2x - 8y = 32 is y = (1/4)x - 4.
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!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!4
Answer:
It's the 2nd graph
Step-by-step explanation:
Think about it. The large barrel weighs 25 pounds. There are 20 gallons of water. Now look at the graphs 1 more time.
The new location for a park needs to be exactly 5 miles from the school. When plotted on the coordinate plane, the school is located at (3, 3).
Use the Pythagorean theorem to determine two possible locations on the coordinate plane for the park.
Answer:
the answer is -1, 0 and 6, -1
Step-by-step explanation:
-1, 0 and 6, -1
(Hope this helps can I pls have brainlist (crown)☺️)
I have an exercise that asks me: answer true or false, are the Italian regions washed by the sea a whole?
Answer:
Select an answer for each item. If you do not know the answer, you should make an educated guess. At the bottom of the test, you will be given your results. Questions 1-5. Read the following early draft of an essay and then choose the best answer to the question or the best completion of the statement. (1) Seaweed-based fuel could one day power ...
Step-by-step explanation:
Answer:
Is false because the Italian regions are partly bathed by the sea
Step-by-step explanation:
Find the value of x.
Answer:
x = 69
Step-by-step explanation:
2x - 3 = 135
2x = 135 + 3
2x = 138
2x/2 = 138/2
x = 69
What is the value of a? Enter the answer in the box.
Answer:
a = 25°
Step-by-step explanation:
60° and 3a - 15° are congruent because they are corresponding.
60 = 3a - 15
75 = 3a
a = 25°
-Chetan K
What is the slope of the line ?
Answer:
[tex]m=\frac{4}{5}[/tex]
Step-by-step explanation:
You can calculate the slope with just 2 points, so find 2 points on the line that land perfectly on the grid.
I'll use (-2, 0) and (3, 4) here
To calculate slope:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
where (x1, y1) is your first point and (x2, y2) is your second. Technically they can go in any order, but I think its generally easier to consider first-to-last as left-to-right.
Plug in those 2 points and solve:
[tex]m=\frac{4-0}{3--2}\\m=\frac{4}{5}[/tex]
Think of slope as rise over run. A slope of [tex]\frac{4}{5}[/tex] means it rises 4, and goes over 5. It's also literally rise over run, as the top number (rise) is over the bottom number (run).
can somebody tell me if these answers are correct?
I don’t know what way the line goes
Answer:
line goes from bottom left to top right or as we would call it positive. now the +5 is your y intercept so start at 5 and go up one over 2 right because that is your slope
Dan earns £7.90 per hour. How much will he earn for 6 hours work?
Answer:
$47.4
Step-by-step explanation:
Answer:
Step-by-step explanation:
The earning will increase for 6 hours. So, we have to multiply 7.90 by 6
Earnings after 6 hours = 6 * 7.90 = £ 47.40
Solve the quadratic by factoring.
4x^2 – 2x – 3 = 2x
PLS HELP ASAP!!!
Answer: X = -(1/2) AND X = (3/2)
Step-by-step explanation:
4x^2 – 2x – 3 = 2x
4x^2 – 4x – 3 = 0
(2x+1)(2x-3) = 0
1. (2x+1) = 0
2x = -1
X = -(1/2)
2. (2x-3) = 0
2X = 3
X = (3/2)
Help me please what's the scale factor of the dilation simplified!!!
Answer:
large/small = 4small/large = 1/4Step-by-step explanation:
The small square extends from x=1 to x=4, so its side length is 4-1 = 3.
The large square extends from x=4 to x=16, so its side length is 16-4 = 12.
The scale factor is ...
large/small = 12/3 = 4
or
small/large = 3/12 = 1/4
We don't know which way you're scaling, so choose the factor appropriate to your question.
whats 5 x 2x x 2y?? im doing hw and im confused
Please help!! I’m taking a math course a grade above mine but since i’m on break my teacher isn’t able to help me.
Answer:
Slope = ½
Step-by-step explanation:
Given the two points on the graph, (-4 , 0) and (0, 2):
Let (x₁, y₁) = (-4 , 0)
(x₂, y₂) = (0, 2)
Substitute the given points into the following slope formula:
[tex]\LARGE\mathsf{m = \frac {(y_2\: -\: y_1)}{(x_2\: -\: x_1)}}[/tex]
[tex]\LARGE\mathsf{m = \frac {2\: -\:0}{0\: -\:(-4)}}[/tex]
[tex]\LARGE\mathsf{m = \frac {2\: -\:0}{0\: +\:4}}[/tex]
[tex]\LARGE\mathsf{m = \frac {2}{4}\:=\:\frac{1}{2}}[/tex]
Therefore, the slope of the line is ½.
Please help quickly please
Answer
169
Step-by-step explanation:
Coordinate plane .........
Answer:
The answer is the blue dot
Step-by-step explanation:
You should remember that the x goes first in (x,y).
Expand.
Your answer should be a polynomial in standard form.
(x - 5)(x – 4) =
Answer:
[tex]x^2-9x+20[/tex]
Step-by-step explanation:
Use the distributive property.
[tex](x-5)(x-4)[/tex]
[tex]x^2-5x-4x+20[/tex]
[tex]x^2-9x+20[/tex]
This is already in standard form.
Hope this helps!
John's father spent 2 hours and 55 minutes working on his truck if it was 4:55 when he stopped what time did he start
Answer:
2
Step-by-step explanation:
4-2=2
55-55=0
so:
2:00
Over the summer, Jarrod did online tutoring with kids. He was paid a total of $342.30 for 42 hours of tutoring. What was his hourly rate of pay?
Answer:
His hourly rate is $8.15.
Step-by-step explanation:
The hourly rate is how much he earns in one hour. We know how much he earns in 42 hours ($342.3).
So what we need to do is to divide that amount ($342.3) by 42.
And we get $8.15.
y=-x-6 input (x) = -3 find (y) output
Answer:
[tex]y=-3[/tex]
Step-by-step explanation:
[tex]y=-x-6[/tex]
Plug in the given value for x:
[tex]y=-(-3)-6[/tex]
Simplify:
[tex]y=3-6[/tex]
[tex]y=-3[/tex]
pls help will mark as brainlist
Step-by-step explanation:
total angle= 360°.
sides = 360/36 = 10 (decagon).
total angle= 360°
sides = 360/120 = 3(triangle).
hope this helps you to.
What is the slope in other words the answer
Answer:
gradient
Step-by-step explanation:
gradient is the same as steepness and slopes r steep so its gradient
what is 3x-4y= -24 answer
Answer:
The answer will be ( [tex]x=\frac{-24+4y}{3}[/tex] )
What is the value of a if 5a = 1/125
(It’s not 1/625)
Please answer!!
Answer:
a = -3.
Step-by-step explanation:
5^a = 1/125
5^3 = 125
so 5^-3 = 1/125
Answer:
a = -3
Step-by-step explanation:
5^a = 1/125
Rewriting 1/125 as 1/5^3 = 5^-3
5^a = 5^-3
a = -3
If the chance of rolling a 3 on a dice is 1/6, what is the chance of not rolling a
3?
Answer:
5/6
Step-by-step explanation:
Assuming we are using a standard 6-sided die, we can say that there are 6 numbers on the die. 1, 2, 3, 4, 5, and 6. The chance of rolling any number, including 3, is 1/6
The change of not rolling a 3 would be 5/6, because there are 5 other numbers besides 3
The total length of 5 belts and 3 shoe laces is 4.2 m. The total length of 3 shoe laces is equal to the length of 2 belts
a) Find the length of a belt
b) Find the total length of 7 belts and 2 shoe laces
Answer:
a= 0.84m
b= 7m
i tried my best but im not sure of the answer
Step-by-step explanation:
5x+3y=4.2
2x=3y
x = 4.2-3y/5
2*(4.2-3y/5) = 3y
=1.68/3 = 0.56
y=0.56
2x = 3*0.56
x = 0.84
a) The length of one belt (b) is 0.6 meters, or 60 centimeters.
b) The total length of 7 belts and 2 shoe laces is: 5 meters.
Let the length of one belt be "b" meters, and the length of one shoe lace be "s" meters.
a) Find the length of a belt:
According to the given information, the total length of 5 belts and 3 shoe laces is 4.2 meters. We can express this information as an equation:
5b + 3s = 4.2
b) Find the total length of 7 belts and 2 shoe laces:
The total length of 3 shoe laces is equal to the length of 2 belts. We can express this information as another equation:
3s = 2b
Now, we can use these two equations to solve for the values of "b" and "s."
Step 1: Solve the second equation for "s":
3s = 2b
Divide both sides by 3:
s = (2/3)b
Step 2: Substitute the value of "s" from the second equation into the first equation:
5b + 3((2/3)b) = 4.2
5b + 2b = 4.2
7b = 4.2
Step 3: Solve for "b":
b = 4.2 / 7
b = 0.6
Now that we have the value of "b," we can find the value of "s" using the second equation:
s = (2/3)b
s = (2/3) * 0.6
s = 0.4
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[tex](5x10^3)x(9x10^7)[/tex]
Answer:
Step-by-step explanation:
[tex](5x10^{3})x(9x10^{7})=5*9*x^{1+1+1}*10^{3+7}\\\\=45x^{3}*10^{10}[/tex]
Company X tried selling widgets at various prices to see how much profit they would
make. The following table shows the widget selling price, x, and the total profit
earned at that price, y. Write a quadratic regression equation for this set of data,
rounding all coefficients to the nearest tenth. Using this equation, find the profit, to
the nearest dollar, for a selling price of 14.25 dollars.
Regression equations are used to represent the relationship between the x and y variables.
The quadratic regression equation is [tex]\mathbf{y =-6.407 X^2 +216.721 X -975.561}[/tex]The profit for a selling price of $14.25 is $812To determine the quadratic regression equation, we make use of a graphic calculator
Using a graphing calculator, we have the quadratic regression equation to be [tex]\mathbf{y =-6.407 X^2 +216.721 X -975.561}[/tex]
When the selling price is $14.25, it means that:
[tex]\mathbf{x = 14.25}[/tex]
So, we have:
[tex]\mathbf{y =-6.407 \times 14.25^2 +216.721 \times 14.25 -975.561}[/tex]
Evaluate the exponents
[tex]\mathbf{y =-6.407 \times 203.0625+216.721 \times 14.25 -975.561}[/tex]
Evaluate the products
[tex]\mathbf{y =-1301.0214375+3088.27425 -975.561}[/tex]
Evaluate like terms
[tex]\mathbf{y =811.6918125}[/tex]
Approximate to the nearest dollar
[tex]\mathbf{y =812}[/tex]
Hence, the profit for a selling price of $14.25 is $812
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If the confidence interval and hypothesis test both used the same data, how did they come up with different standard errors
Confidence intervals and hypothesis testing share the characteristic that they are both inferential techniques
Confidence intervals and hypothesis tests are similar in that they are both inferential methods that rely on an approximated sampling distribution.
What is confidence interval?
Data from a sample is used to estimate a population parameter using confidence intervals. Data from a sample is used in hypothesis testing to examine a given hypothesis. It is possible that occasionally, when the hypothesis produces a non-significant result, the confidence interval will exclude the value specified under the null hypothesis because the standard error used to calculate the confidence interval is different from the standard error used in hypothesis testing.
We use the standard error of the mean to show the degree of uncertainty surrounding the estimation of the mean measurement. Most helpful for calculating a confidence interval is the standard error.
Hence , Confidence intervals and hypothesis tests are similar in that they are both inferential methods that rely on an approximated sampling distribution.
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