Complete question:
A group of 8 friends went to lunch and spent a total of $76, which included the food bill and a tip of $16. They decided to split the bill and tip evenly among themselves. Which equations and solutions describe the situation? Check all that apply. The equation 1/8(x+16)=76/8 represents the situation, where x is the food bill. The equation 1/8 (x+16)=76 represents the situation, where x is the food bill. The solution x=60 represents the total food bill. The solution x=60 represents each friend’s share of the food bill and tip. The equation 8(x+16)=76 represents the situation, where x is the food bill.
Answer:
The equation 1/8(x+16)=76/8 represents the situation, where x is the food bill
The solution x=60 represents the total food bill
Step-by-step explanation:
Given the following :
Total amount spent = $76
Amount paid as tip = $16
Number of friends = 8
Total Cost of lunch consists of:
Actual Cost of food + amount of tip
Let actual cost of food = x
Total cost of lunch is thus :
x + $16 = $76
If the friends are to each the bill equally:
Then:
Divide both sides by 8:
(1/8)* (x + 16) = 76/8
Therefore,
(x + 16) / 8 = 76/8
x + 16 = 76 / 8
(x + 16)/8 = 9.5
x + 16 = 9.5 * 8
x + 16 = 76
x = 76 - 16
x = 60
Answer:
A
and
C
Step-by-step explanation:
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PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Given that :
Diameter (d) = 18 cm
Pi (π) = 3.14
Radius (r) = d/2 = 18/2 = 9 cm
We know that volume of sphere is
Volume of Sphere = 4/3πr³
Volume = 4/3 × 3.14 × (9)³
Volume = 4/3 × 3.14 × 729
Volume = 4 × 3.14 × 243
Volume = 12.56 × 243
Volume = 3052.08
Hence, the volume is 3052.08 cm³
What are the terms in the expression 13y + 4p + 11?
A.17y + P
B.13y, 4p, 11
C.13, 4, 11
Answer:
Step-by-step explanation:
Option B is the correct answer
Find the equation of the line that
is parallel to y = 4x + 1 and
contains the point (1, 1).
y = [? ]X + [ ]
The equation of a line is:
[tex] \displaystyle \large{y - y_1 = m(x - x_1)}[/tex]
Since the line has to be parallel to line y = 4x+1. Hence, m = 4.
[tex] \displaystyle \large{y - y_1 = 4(x - x_1)}[/tex]
Given point is (1,1). Let this be the following:
[tex] \displaystyle \large{(x_1,y_1) = (1,1)}[/tex]
Substitute the point in.
[tex] \displaystyle \large{y - 1 = 4(x - 1)}[/tex]
Convert the equation in a slope-intercept form or function form.
First, distribute 4 in the expression.
[tex] \displaystyle \large{y - 1 = 4x - 4}[/tex]
Add 1 on both sides.
[tex] \displaystyle \large{y - 1 + 1 = 4x - 4 + 1} \\ \displaystyle \large{y = 4x - 3}[/tex]
Hence, the line that is parallel to y = 4x+1 and passes through (1,1) is y = 4x-3
Find the value of z.
Answer:
Option D, 110
Step-by-step explanation:
first we find x
10x+20-80=2(2x+15)
or, x=15
now, 10x+20 = 170
so, z = 360-170-80 = 110
8 more than a number
Answer:
[tex]\boxed{ 8 + x}[/tex]
Step-by-step explanation:
Hey there!
In most cases "the number" would be x.
So if the statement says 8 "more than a number",
It is saying 8 plus x or 8 + x.
Hope this helps :)
Answer:
x + 8 is the meaning.
Step-by-step explanation:
“more” means addition. Take the number as “x”, so it will be x + 8.
That's the answer.
Which graph represents 7x+2y< 8
Answer:
Graph C.
Step-by-step explanation:
Hi there!
Well let’s first put,
7x + 2y < 8
We need to single out y.
7x + 2y < 8
-7x to both sides
2y < -7x + 8
Divide everything by 2,
y < -7/2x + 4
Well the shade on the graph should be going down because it is y is less than,
And the y intercept should be at 4 with a dotted line and a slope of -7/2.
So graph C. Is correct.
Hope this helps :)
The graph that represents the inequality 7x + 2y < 8 will be graph C.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The inequality is given as,
7x + 2y < 8
Simplify the equation in slope-intercept form, then we have
7x + 2y < 8
2y < 8 - 2x
y < (8 - 2x) / 2
The value of the variable 'y' is less. Then the graph that represents the inequality 7x + 2y < 8 will be graph C.
More about the inequality link is given below.
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If the graph of y=|x| is translated so that the point (1,1) is moved to (4,1) what is the equation of the new graph?
This question is solved using translation concepts, and doing this, it is found that the equation of the new graph is:
[tex]y = |x - 3|[/tex]
--------------------------
When a function f(x) is translated a units to the left, we get f(x - a).
--------------------------
In this question:
The original function is [tex]y = |x|[/tex]
Point (1,1) is moved to (4,1), that is, 3 is added to the x-coordinate, meaning that the function was shifted 3 units to the left.
Thus, the new equation is:
[tex]y = g(x) = f(x - 3) = |x - 3|[/tex]
A similar question is given at https://brainly.com/question/23602866
Tristan wants to build a Square Garden in his backyard that will cover an area of 75 ft.² if Tristan has 32 feet of material for the parimeter are the garden does he have enough explain
Answer:
u47464 is not working properly a lot and a new message was delivered at a loss or so to do a little better for your help you
inWrite the equation of the line that passes through (7, - 4) and (- 1, 2) slope- intercept form.
Answer:
General Equation of a Line
[tex]General Equation \\(y - y_{1} )= m (x-x_{1}) \\Slope=m= \frac{x_{2}-x_{1} }{y_{2}-y_{1} } \\\\Given:\\p_{1}=(7,-4)\\p_{2}=(-1,2)\\Solution:\\m=(\frac{-1-7}{2-(-4)}) =\frac{-8}{6}\\y-(-4) = (\frac{-8}{6} )(x-7)\\y+4=\frac{-8x}{6} + 56\\y=\frac{-8x}{6} + 52 \\\\The\\ equation \\ is \\ y=\frac{-8x}{6} + 52[/tex]
Step-by-step explanation:
Find the slope first and then place the values on the general formula. The final step is to solve for y
PLEASE HELP ILL LOVE U FOREVER
In Exercise 4, find the surface area of the solid
formed by the net.
Round the approximate value however you need to
Units are in square centimeters.
===================================================
Work Shown:
You have the 160 portions correct since 20*8 = 160.
The other pieces are equilateral triangles, in which we use the formula
[tex]A = \frac{\sqrt{3}}{4}x^2[/tex]
where x is the side length of the triangle. Plug in x = 8 to get
[tex]A = \frac{\sqrt{3}}{4}x^2\\\\A = \frac{\sqrt{3}}{4}8^2\\\\A = \sqrt{3}*\frac{1}{4}*64\\\\A = \sqrt{3}*16\\\\A = 16\sqrt{3}\\\\[/tex]
That's the exact area of one triangle, but we have two of them. Double the result to get [tex]2*16*\sqrt{3} = 32\sqrt{3}[/tex]
The total surface area is the sum of all the smaller areas
[tex]160+160+160+32\sqrt{3} = 480+32\sqrt{3}[/tex]
--------------------------
The exact surface area is [tex]480+32\sqrt{3}[/tex] square cm.
Using a calculator, you should get [tex]480+32\sqrt{3} \approx 535.425625842204[/tex]
Round this however you need to.
If ABCD is a parallelogram find the value of unknow size
Step-by-step explanation:
Hey, there!!
As it is a parallelogram, remember basic properties of parallelogram,
Their opposite sides are parallel and equal to eachother. Their opposite angles are equal.They have properties of parallel lines too.Now, lets solve your question.
b = (7×10)°
Therefore, b= 70°.
now, (3x+10°)+b=180° { co- interior angle of a triangle sum is 180°}.
or, 3x= 180°-80°
or, x= 100°/3
Therefore, x= 33° { rounding off we get 33}.
w+ b =180°
w+70°=180° { coointerior angles are equal}.
Therefore, w =110°
Hope it helps....
Which of the following is the domain of the function based on the input-
output table below?
Answer:
C
Step-by-step explanation:
The domain of the function is the left column of the table, {5,10,15,20,25,30,35}
HELP ME PLEASE ASAP! Zoe is making a quilt. The ratio of red squares to green squares is 2 to 3. She uses a total of 55 squares. How many green squares does she use?
Answer: 33
First you divide 55 by 5 to get the total number of squares in one part, which equals 11. Then you multiply by 3 since there are 3 parts of green squares to get your answer, 33.
For the function F(x)= 1/x-2 whose graph is shown below, what is the relative value of F(x) when the value of x is close to 2?
Answer:
10,000
Step-by-step explanation:
Part C Now try this one. Write a description of the partitioned function using known function types, including transformations.
Answer:
Following are the function description to the given question:
Step-by-step explanation:
In the given-question, three functions are used, that can be defined as follows:
In function 1:
This function is also known as the modulus on the absolute value function, for example:
[tex]f(x)=| x| \left \{ {{x , \ \ \ x>0} \atop {-x, \ \ \ \x<0 }} \right.[/tex]
In the given in the above graph, that is [tex]f(x) = -x , \ \ x<0[/tex]
In function 2:
In this function, It is an algebraic function that is [tex]y=x^2[/tex]
It is also a part of the quadratic polynomial function, and its value is [tex]y=x^2 , \ \ \ x> 0[/tex]
In function 3:
In this function, it is the cubic polynomial equation that's value is [tex]y=x^3[/tex]
In the graph its value is:
[tex]y=-x^3\\\\and \\ \\\to y= f(x) \\\\ \to y=-f(x)\\[/tex]
Multiply. √6x⋅√15xy⋅√20 Please answer as quickly as possible
Answer:
[tex]30x\sqrt{2y}[/tex]
Step-by-step explanation:
First, multiply sqrt.(6x) by sqrt.(15xy)
That equals sqrt.[tex]\sqrt{90x^{2}y } *\sqrt{20}[/tex]
then, rewrite [tex]90x^{2} y[/tex] as (3x)^2 * (10y)
you have [tex]\sqrt{(3x)^{2} *(10y)} *\sqrt{20}[/tex]
Next, pull the terms from out under the radical, to get:
[tex]3x\sqrt{10y} *\sqrt{20}[/tex]
Now rewrite 20 as 2^2 * 5
You get [tex]3x\sqrt{10y} *(2\sqrt{5} )[/tex]
Multiply everything together to get: [tex]6x\sqrt{50y}[/tex]
Now rewrite 50 y as 5^2 * 2y
You end up with [tex]6x\sqrt{5^{2}*(2y)}[/tex]
Then, pull out the terms from under the radical. You get:
[tex]6x(5\sqrt{2y})[/tex]
Finally, multiply the 5 and 6 together to get: [tex]30x\sqrt{2y}[/tex]
Answer:
[tex]\boxed{30\sqrt{2} x^2 y}[/tex]
Step-by-step explanation:
[tex]\sqrt{6} *x*\sqrt{15} * x*y*\sqrt{20}[/tex]
[tex]\sf Multiply[/tex]
[tex]\sqrt{6}\sqrt{15}\sqrt{20}*x*x*y[/tex]
[tex]\sqrt{6*15*20}*x^2 *y[/tex]
[tex]\sqrt{1800}x^2y[/tex]
[tex]\sf Simplify[/tex]
[tex]\sqrt{900} \sqrt{2} x^2y[/tex]
[tex]30\sqrt{2} x^2 y[/tex]
simplify:(x/y+y/x-1)+(x^2/y^2-x/y+1)
Answer:
[tex] = \frac{ - xy + {y}^{4} + {y}^{3} + {x}^{3}y + {x}^{3} - {x}^{2} }{x {y}^{3} + {xy}^{2} - {y}^{3} - {y}^{2} } [/tex]
Step-by-step explanation:
[tex]( \frac{x}{y} + \frac{y}{x - 1} ) + ( \frac{ {x}^{2} }{ {y}^{2} } - \frac{x}{y + 1} )[/tex]
[tex] \frac{xy \times (x - 1) \times (y + 1) + {y}^{3} \times (y + 1) + {x}^{2} \times (x - 1) \times (y + 1) - {xy}^{2} \times (x - 1)}{ {y}^{2} \times (x - 1) \times (y + 1)} [/tex]
[tex]\frac{( {x}^{2} y - xy) \times (y + 1) + {y}^{4} + {y}^{3} + ( {x}^{3} - {x}^{2} ) \times (y + 1) - {x}^{2} {y}^{2} + {xy}^{2} }{( {xy}^{2} - {y}^{2} ) \times (y + 1)}[/tex]
[tex] \frac{ {x}^{2} {y}^{2} + {x}^{2} y - {xy}^{2} - xy + {y}^{4} + {y}^{3} + {x}^{3} y + {x}^{3} - {x}^{2}y - {x}^{2} - {x}^{2} {y}^{2} + {xy}^{2} }{( {xy}^{3} + {xy}^{2} - {y}^{3} - {y}^{2} ) } [/tex]
[tex] = \frac{ - xy + {y}^{4} + {y}^{3} + {x}^{3}y + {x}^{3} - {x}^{2} }{x {y}^{3} + {xy}^{2} - {y}^{3} - {y}^{2} } [/tex]
Answer:
2
Step-by-step explanation:
Write equivalent expressions.
1. 5(a+a+a)= ________________________________________________________________________
2.6(3x-4)=____________________________________________________________ _______
Answer:
15a
18x -24
Step-by-step explanation:
5(a+a+a)
Combine terms in the parentheses
5(3a)
Multiply
15a
6(3x-4)
Distribute
18x -24
31. Which choice describes the value of m when -5(m + 1) = 23?
А
B.
m 2-3
ms-
6 m2
D.ms-
Answer:
The correct choice is Option A. m ≥ -28/5
Step-by-step explanation:
Simplify. x/4+x/3//x/2
Answer:
Step-by-step explanation:
Tom finished reading 3/7 of a book in the first week, and he read 3/4 of the remainder in the second week. what fraction is left?
Answer:
1/7 is left
Step-by-step explanation:
What is left to read after the first week
1 - 3/7
7/7 - 3/7
4/7
He read 3/4 of this the second week
4/7 * 3/4
3/7 was read
4/7 - 3/7 is what is left
1/7 is left
Answer:
The correct answer is
Step-by-step explanation:
1/7 of the book is left to read.
Hope this helps....
Have a nice day!!!!
Kyle stood on a bridge and threw a rock up and over the side. The height of the rocks in meters can be approximated by approximated by -5t^2+5t+24, where T is the time in seconds after car through it completely factor the expression
Answer:
The factorized expression is (-5) × (t - 2.747) ×(t - 1.747)
Step-by-step explanation:
The given expression is -5·t² + 5·t + 24
To factorize the expression by completing the square method, we equate the expression to zero to get;
-5·t² + 5·t + 24 = 0
WE divide by -5 to get;
t² - t - 24/5 = 0
t² - t = 24/5
t² - t + 1/4 = 24/5 + 1/4
(t - 1/2)² = 5.05
t - 1/2 = ±√5.05
t = 1/2 + √5.05, 1/2 - √5.05
The factorized expression becomes;
(t - 1/2 + √5.05) and (t - 1/2 - √5.05)
Which gives;
(t - 2.747) ×(t - 1.747)
The factorized expression is (-5) × (t - 2.747) ×(t - 1.747).
a cylinder with radius 7 and height 4 is in table,then find its volume?
Answer:
V = ≈615.75
Step-by-step explanation:
hopefully that helped
Graph the line that passes through the points (1,-6) and (2,-5) and determine the equation of the line.
Answer:
y=x-7
Step-by-step explanation:
Slope of the line is (-5+6)/(2-1)=1. Equation of the line is y=x-7
round to the nearest place value shown
Please help what are the slope and the y intercept of the linear function that is represented by the table?
Answer:
The slope is -2, the y-intercept is 12
Step-by-step explanation:
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Chose any two coordinates pair. Let's make use of:
[tex] (0, 12) = (x_1, y_1) [/tex]
[tex] (3, 6) = (x_2, y_2) [/tex]
Thus,
[tex] slope (m) = \frac{6 - 12}{3 - 0} [/tex]
[tex] slope (m) = \frac{-6}{3} [/tex]
[tex] slope (m) = -2 [/tex]
Using the slope-intercept equation, find the y-intercept, b, as follows:
[tex] y = mx + b [/tex]
Use any coordinate pair as x and y, then solve for b.
Let's use (3, 6)
[tex] 6 = (-2)(3) + b [/tex]
[tex] 6 = -6 + b [/tex]
Add 6 to both sides
[tex] 6 + 6 = - 6 + b + 6 [/tex]
[tex] 12 = b [/tex]
The slope (m) of the linear function that is represented by the table is -2, while the y-intercept (b), is 12.
Answer:
The slope is –2, and the y-intercept is 12.
Step-by-step explanation:
I used it and got it right
In April, the number of cars sold was 546.
This was an increase of 5% on the number of cars sold in March.
Calculate the number of cars sold in March.
Answer:
520 cars
Step-by-step explanation:
Let the car sold in March be x, x+5%*x=546. (105/100)*x=546. x=520
If there was an increase of 5% on the number of cars sold in March, the number of cars sold in March was approximately 520.
To calculate the number of cars sold in March, we'll use the information that the number of cars sold in April was an increase of 5% compared to March.
Let's assume the number of cars sold in March is represented by 'x'.
According to the given information, the number of cars sold in April was 546, which is equal to 100% + 5% of the number of cars sold in March.
We can set up the equation:
x + 0.05x = 546
Combining like terms, we get:
1.05x = 546
To solve for 'x', we divide both sides of the equation by 1.05:
x = 546 / 1.05
Using a calculator, we find:
x ≈ 520.00
To learn more about increase/decrease click on,
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Help please on this question. I’d appreciate it if you answered.
Ok so the letters overwrap all of the alphabets and the other terms are in.
Answer:
see below
Step-by-step explanation:
Consonants and vowels do not overlap
There are no consonants that are vowels and no vowels that are consonants
That means the circles will never touch
what is the perimeter of rhombus ABCD ?
Answer:
20
Step-by-step explanation:
Since you can use the Pythagorean theorem to calculate the length of the hypotenuse, each side can be found to be 5. There are four equal sides, so it is 20.