The equation that represents the total amount of money Papi's made selling pizzas on Saturday is (39 x $9.99) + (62 x $11.99) + (83 x $13.99)
Equation:
An equation is the mathematical statement which is made up of two expressions connected by an equal sign.
For example, 3x – 2 = 16 is an equation.
Given,
There are three types of pizza varieties are small, medium and large. And the price of them are $9.99, $11.99 and $13.99 respectively.
On Saturday, Papi's sold 39 small pizzas, 62 medium pizzas, and 83 large pizzas.
So, we have to write the equation for the total amount of money Papi's made selling pizzas on Saturday.
To calculate the price of the pizza we have to multiply it by the number of items sold by the cost.
So, the equation to calculate the cost of pizza,
=> number of items sold x cost.
Here we have to write the equation for three types and we have to find the total cost for it,
So, the equation is looks like,
=> (39 x $9.99) + (62 x $11.99) + (83 x $13.99)
To know more about Equation here.
https://brainly.com/question/10413253
#SPJ1
Find length between AC-3,8) and B(5,-4) in simplest radical form:
The Points are in the form (x,y), and they are A(-3,8) and B(5,-4).
The length between two points is:
[tex]\sqrt[]{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]In this case:
[tex]\text{length = }\sqrt[]{(-3-5)^2+(8-(-4))^2}=\sqrt[]{(-8)^2+(12)^2}=\sqrt[]{64+144}[/tex][tex]\text{length =}\sqrt[]{208}\text{ = }\sqrt[]{16\cdot13}=4\sqrt[]{13}[/tex]The correct anser is:
[tex]\text{length = 4}\sqrt[]{13}[/tex]Please help this is due soon
Hello!
Let's solve:
The sum of all the angles of a triangle is ==> 180 degrees[tex]\hookrightarrow \text{In other words: } x + 59+ 84 + x + 51=180[/tex]
Solve the equation to find the value of 'x'[tex]x + 59 + 84 + x + 51= 180\\2x + 194=180\\2x = -14\\x = -7[/tex]
Since m∠A = x + 51, we just need to plug in x's valuem∠A = x + 51 = -7 + 51 = 44
Answer: 44
Hope that helps!
Kathy and Peter both drive older cars that dont always work in the wintertime. Suppose that Kathy's car works 80% of the time and Peter's works 65% of the time. What is the probability they will both be working on any given morning?
The equation of a line is given below.2x+6y=-18Find the x-intercept and the y-intercept.Then use them to graph the line.X-intercept:0Х5?ca loxy-intercept:0?
Given equation of the line is
[tex]2x+6y=-18[/tex]Dividing both sides of the above equation by -18, we get
[tex]\frac{x}{-9}+\frac{y}{-3}=1[/tex]The line cuts the x axis at (-9,0) and the y axis at (0,-3).
Therefore, the x intercept is -9 and the y intercept is -3.
The graph of the line is shown below.
The same number of guests are seated at each of 8 large tables. There are 2 guests seated at one small table. Write an equation to represent the total number of guests T and the number of people x at
each large table. If there are 82 guests, how many are seated at each large table?
Answer:
10
Step-by-step explanation:
Since there are 2 people sitting alone, we can put them aside
then we have 8 large tables, each seat x number of guests
we would have total 8x guests there
so 8x+2=82
then solve
8x=80
x=10
There were 42 boys and 28 girls in a photography club. Then, 6 more girls joined the club. What was the ratio of the numbers of boys to the numbers of girls in the end? Express the ratio in its simplest form.
Given:
There are given that a total of 42 boys and 28 girls in the photography club.
Explanation:
According to the question:
We need to find the ratio.
So,
We can see a total of 28 girls and 6 more girls.
So,
The total number of girls is:
[tex]28+6=34[/tex]Then,
The numbers of boys to the numbers of girls in the end is:
[tex]\frac{42}{34}=\frac{21}{17}[/tex]Final answer:
Hence, the ratio is shown below:
[tex]21:17[/tex]
the altitude (i.e., height) of a triangle is increasing at a rate of 3.5 cm/minute while the area of the triangle is increasing at a rate of 4.5 square cm/minute. at what rate is the base of the triangle changing when the altitude is 7.5 centimeters and the area is 87 square centimeters?
The rate at which the base of the triangle is changing is equal to,
dB = -6.3 cm/minutes.
From the data given in the question.
The rate of increase in the area of the triangle, dA = 4.5 cm/minute
The rate of increase in the altitude of the triangle, dH = 3.5 cm/minute
The Area of the triangle, A = 87 square centimeters
The altitude of the triangle, H = 7.5 centimeters
The equation for the area of a triangle is equal to
A = 0.5×B×H
Plug in A and H to solve for B at that point:
87 = 0.5×B×7.5
B = 23.2
Differentiate the equation for the area of a triangle to find the rate of change of the area of a triangle (dA):
dA = 0.5× dB× H + 0.5×B × dH.
Plug in known variables to solve for the rate of change of the base dB
dA = 0.5 × dB × H + 0.5 × B × dH
4.5 = 0.5 × dB × 7.5 + 0.5 × 23.2 × 3.5
The rate at which the base of the triangle is changing is equal to,
dB = -6.3 cm/minutes.
Learn more about Triangles at
https://brainly.com/question/27683633?referrer=searchResults
#SPJ4
23 times 20 algorithom
Answer: using traditional algorithom
23
x 20
__________
0 0
+ 4 6
____________
4 6 0
Which of the equations shown have infinitely many solutions ? Select all that apply. A. 3x-1=3x+1, B. 2x-1=1-2x, c 3x-2=2x-3, D 3(x-1)=3x-3, E. 2x+2=2(x+1), F. 3(x-2)=2(x-3)
Answer:
The equations that have infinitely many solutions are;
[tex]\begin{gathered} 3(x-1)=3x-3 \\ 2x+2=2(x+1) \end{gathered}[/tex]Explanation:
For an equation to have infinitely many solutions, the left-hand side of the equation and the right side of the equation must be equivalent/equal.
That means that the expression before the equal sign must be equivalent to the expression after the decimal.
such as;
[tex]\begin{gathered} x=x \\ x+3=x+3 \\ 2x=2(x) \\ 4x+4=4(x+1) \end{gathered}[/tex]From the given equation, the equations that have their left and right sides equivalent are;
[tex]\begin{gathered} 3(x-1)=3x-3 \\ 3x-3=3x-3 \\ \\ 2x+2=2(x+1) \\ 2x+2=2x+2 \end{gathered}[/tex]Therefore, the equations that have infinitely many solutions are;
[tex]\begin{gathered} 3(x-1)=3x-3 \\ 2x+2=2(x+1) \end{gathered}[/tex]Use each of the three corresponding base and height pairs to find the area of the triangle. Why is the area the same for each calculation?
Answer:
The three correct corresponding pairs that gives the same area are;
[tex]\begin{gathered} A=\frac{1}{2}\times10\times3.5=17.5cm^2 \\ A=\frac{1}{2}\times5\times7=17.5cm^2 \\ A=\frac{1}{2}\times14\times2.5=17.5cm^2 \end{gathered}[/tex]The areas are the same in each case because the product of each pair is the same.
Explanation:
Given the base and height pairs in the question.
Let us use the corresponding pairs that gives the same area.
Firstly, for the first pair;
[tex]\begin{gathered} A=\frac{1}{2}\times10\times3.5=17.5cm^2 \\ A=\frac{1}{2}\times10\times7=35cm^2 \\ A=\frac{1}{2}\times10\times2.5=12.5cm^2 \end{gathered}[/tex]Secondly, the second pair is;
[tex]\begin{gathered} A=\frac{1}{2}\times5\times7=17.5cm^2 \\ A=\frac{1}{2}\times5\times3.5=8.75cm^2 \\ A=\frac{1}{2}\times5\times2.5=6.25cm^2 \end{gathered}[/tex]Thirdly, the third pair;
[tex]\begin{gathered} A=\frac{1}{2}\times14\times3.5=24.5cm^2 \\ A=\frac{1}{2}\times14\times7=49cm^2 \\ A=\frac{1}{2}\times14\times2.5=17.5cm^2 \end{gathered}[/tex]Therefore, the three correct corresponding pairs that gives the same area are;
[tex]\begin{gathered} A=\frac{1}{2}\times10\times3.5=17.5cm^2 \\ A=\frac{1}{2}\times5\times7=17.5cm^2 \\ A=\frac{1}{2}\times14\times2.5=17.5cm^2 \end{gathered}[/tex]The areas are the same in each case because the product of each pair is the same.
Tanya is training a turtle for a turtle race. For every 1/2 of an hour that the turtle is crawling, he can travel 1/20 of a mile. At what rate is the turtle crawling in miles per hour
If Tanya is training a turtle for a turtle race. For every 1/2 of an hour that the turtle is crawling, he can travel 1/20 of a mile. The rate that the turtle is crawling in miles per hour is: 0.2 miles /hour .
Determining the Unit rate per mileGiven data:
1/2 of an hour = 1/20 of a mile
Now let determine the unit rate
Unit rate that the turtle is crawling is: (1/20)/(1/2)
Hence,
Unit rate = (1/20)×(2/1)
Unit rate = 2/20 miles/hour
Unit rate = 0.2 miles /hour
Therefore the rate is 0.2 miles per hour.
Learn more about unit rate here: https://brainly.com/question/19493296
#SPJ1
If for every 1/2 of an hour that the turtle is crawling, he can travel 1/20 of a mile. then 0.1mile/ hour is the rate at which turtle travel per hour.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given that,
A turtle is trained by Tanya,
For every 1/2 of an hour that the turtle is crawling, he can travel 1/20 of a mile.
We need to find at what rate the turtle is travelling per hour.
Let x be the distance travelled by turtle in hour.
1/20/1/2=x/1
Apply cross multiplication
x/2=1/20
x=2/20
x=0.1 miles / hour
Hence 0.1 miles per hour is the turtle travelling per hour.
To learn more on Ratios click:
https://brainly.com/question/1504221
#SPJ1
a report on high school graduation stated that 85 percent of high school students graduate. suppose 3 high school students are randomly selected from different schools. what is the probability that none will graduate?
The probability that exactly none will graduate is [tex]0.003375[/tex].
What is probability?
Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes.
Step-by-step explanation:
Let [tex]X[/tex] be the random variable for the number of students who graduate.
Binomial distribution theorem tells that, [tex]P(X=x)=C(n , x)p^xq^{n-x}[/tex].
Here [tex]p=[/tex]probability of success on a single trial, [tex]q=[/tex]probability of failure on a single trial, [tex]n=[/tex] number of trials.
Given that [tex]p=0.85, q=1-p=1-0.85=0.15[/tex] and [tex]n=3.[/tex]
[tex]P(X=x)=C(3 , x)0.85^x0.15^{3-x}[/tex]
When [tex]3[/tex] students are randomly selected the probability that exactly none will graduate is given by,
[tex]P(X=0)=C(3 , 0)0.85^00.15^{3-0}[/tex]
[tex]P(X=0)=\frac{3!}{0!(3-0)!} 0.15^{3}[/tex]
[tex]P(X=0)=0.15^{3}[/tex]
[tex]P(X=0)=0.003375[/tex]
Hence the probability that exactly none will graduate is [tex]0.003375[/tex].
To learn more about probability from the given link
https://brainly.com/question/25870256
#SPJ4
Match the polynomial expression on the left with the simplified version on the right.
Given the following question:
First expression:
[tex]\begin{gathered} \frac{12x^3-14x^2+16x-8}{3x-2} \\ \text{ Factor the expression:} \\ 12x^3-14x^2+16x-8=2(6x^3-7x^2+8x-4) \\ \frac{2\left(6x^3-7x^2+8x-4\right)}{3x-2} \\ \text{ Factor:} \\ 2\left(6x^3-7x^2+8x-4\right)=(3x-2)(2x^2-x+2) \\ =(3x-2)(2x^2-x+2)=2\left(3x-2\right)\left(2x^2-x+2\right) \\ \frac{2\left(3x-2\right)\left(2x^2-x+2\right)}{3x-2} \\ \text{ Cancel the common factor:} \\ -(3x-2) \\ 4x^2-2x+4 \end{gathered}[/tex]Second expression:
[tex][/tex]Isabella is making bread. She has 7/2 cups of flour. each loaf uses 3/4 cup of flour. How many whole loaves of bread can Isabella make? will she have flour left over?
A. 5 loaves with flour left over.
B. 5 loaves with no flour left over.
C. 4 loaves with flour left over.
D. 4 loaves with no flour left over.
Please help
Answer: C. Four loaves, with flour left over.
Step-by-step explanation:
7/2 simplifies to 3 1/2
Do the math,
3/4 + 3/4 = 1 1/2 2 loaves
1 1/2 + 3/4 = 2 1/4 3 loaves
2 1/4 + 3/4 = 3 4 loaves
Now when we add 3/4 to 3, we get more than 3 1/2. Which means we do not have enough flour for another loaf of bread. So, we can make four loaves and still have some four left over. The answer is C.
Round 3.44570830811 to the nearest hundred-thousandth
Answer:
3.44571
Step by step explanation:
3.44570830811
8 is the number next to the place value of hundred-thousandth, so we round it up to 1 and add it to 0
please mark brainliest
SLook at point in the coordinate grid.If a line contains both points and the origin, which point would the line also contain? *(2 points)DS(12,8)(14,7)(15,9)(20, 12)5tvAle--AR
the point which will fall in the line is (14, 7)
Explanation:
The coordinates o f S = (2, 1)
When we draw a line from the origin (0, 0) touching the point S, we will see the next point will be (4, 2). Followed by (6, 3).
So when we look at the trend, we see that the x axis is the double of the y axis:
(2y, y) = (x, y)
(2,1 ) , (4, 2), (6, 3)
From the above, we can say the point which will fall in the line will follow that trend:
When we check the options, the only point with that trend is (14, 7).
This because (2(7), 7) = (2y, y)
Hence, the point which will fall in the line is (14, 7)
please help me answer this question
Answer:
Step-by-step explanation:
130 decrease
What is x in this equation 6(x+7)=-12
Answer:
x = -9
6x + 42 = -12
6x = -54
x = -9
What is one solution of this system?
Answer:
C (0,3)
Step-by-step explanation:
Plot the two equations and the points. See the attached graph. The blue area reflects the inequality of y+3x<=8: many points satisfy this equation and they are all blue.
The red line is equation y-3=x. There is only one point on this line that is also in the blue area: (0.3). The other three points (A, B, and D) do not satisfy either equation. The metric term for them is losers.
A flagpole cast a shadow that is 15 feet long. The angle of elevation at this time is 40 degrees . How tall is the flag pole?
Flag pole is 12585 feet long.
Define Tangent.The straight line that "just touches" the curve at a given location is referred to as the tangent line to a plane curve in geometry. It was described by Leibniz as the path connecting two points on a curve that are infinitely near together. A line that only touches a circle or an ellipse at one point is said to be tangential in geometry. If a line contacts a curve at point P, that point is referred to as the point of tangency. In other words, it is described as the line that, at that particular location, indicates the slope of a curve.
Given Data
Angle of elevation = 40°
Adjacent = 15 feet
Let height of opposite be x
tan(A) = [tex]\frac{opposite}{adjacent}[/tex]
tan(A) = [tex]\frac{x}{15}[/tex]
x = 15tan(40)
x = 15(0.839)
x = 12,585
Flag pole is 12585 feet long.
To learn more about tangent, visit:
https://brainly.com/question/19064965
#SPJ13
suppose that the members of a student governance committee will be selected from the 40 members of the student senate. there are 18 sophomores, 12 juniors and 10 seniors who are members of the student senate. in how many ways can the governance committee be selected, if it must be made up of 2 sophomores, 2 juniors and 3 seniors? assume that each of the sophomores, each of the juniors and each of the seniors is equally likely to be selected for the committee. a. 339 b. 1211760 c. 2160 d. 18643560 e. 25920
Assuming that each of the sophomores, each of the juniors and each of the seniors is equally likely to be selected for the committee, there are b. 1211760 ways can the governance committee be selected, if it must be made up of 2 sophomores, 2 juniors and 3 seniors. The committee can be selected in 1,211,760 ways.
Combination formula:
Cn,x is the number of different combinations of x objects from a set of n elements, given by:
Cnₓ= n!÷ x! (n-x!)
In this problem:
2 sophomores from a set of 18.
2 juniors from a set of 12.
3 seniors from a set of 10.
They are independent, so we can just multiply them, thus:
T= C₁₈,₂ × C₁₂,₂× C₁₀,₃ = 18! ÷2!6! × 12!÷ 2!10! × 10!÷ 3!×7! = 1211760
The committee can be selected in 1,211,760 ways.
To know more about combinations, refer:
brainly.com/question/24650047
#SPJ4
You type 41 words per minute. How many minutes does it take you to type 615 words?
Given:
Type 41 words per min.
Find-:
How many min. take you to type 615 words
Explanation-:
1 min words type = 41
For 615 words,
41 words typed in 1 min.
For 1 words type it take min is:
[tex]1\text{ Words take time=}\frac{1}{41}\text{ min.}[/tex]For 615 words:
[tex]\begin{gathered} \text{ Time}=\frac{1}{41}\times615 \\ \\ =\frac{615}{41} \\ \\ =15 \end{gathered}[/tex]For type 615 words take time is 15 min.
Answer:
15 minutes.
Step-by-step explanation:
615 / 41
= 15
Zimak bought 3 xylobars and 5 yackities from the intergalactic Candy store for 1.75 Jeejuju paid 1.88 and got 4 xylobars and 1 yackity.How much would dado pay fir 1 xylobar and 2 yakities?
The amount that Dado will pay for 1 xylobar and 2 yakities is 1.779.
What is an equation?A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.
Zimak bought 3 xylobars and 5 from the intergalactic Candy. Let this be:
3x + 5y = 1.75
x = xylobars
y = yackities
Jeejuju paid 1.88 and got 4 xylobars and 1 yackity. Let this be:
4x + y = 1.88
Equate the equations and this will be:
4x + y = 1.88 ....... i
3x + 5y = 1.75 .... ii
From equation i y = 1.88 - 4x
Put this into equation ii
3x + 5y = 1.75
3x + 5(1.88 - 4x) = 1.75
3x + 9.4 - 30x = 1.75
Collect like terms
3x - 30x = 1.75 - 9.4
-27x = -7.65
Divide
x = 7.65 / 27
x = 0.283
xylobars = 0.283
Since 4x + y = 1.88
4(0.283) + y = 1.88
1.132 + y = 1.88
y = 1.88 - 1.132
y = 0.748
The cost for 1 xylobar and 2 yakities will be:
x + 2y
0.283 + 2(0.748)
= 0.283 + 1.496
= 1.779
Learn more about equations on:
brainly.com/question/2972832
#SPJ1
What is the graph of f(x) = 3x - 4, where x ≥ 1?
Here is the graph for you!!
NEED HELP ASAP 25 pointsWhich equation best describes the data in the table?x y-2 -41 -73 1 6 28options:a. y=x-2b. y=3x-4c. y=x^2-8d. y=2x^2-3
To determine the equation that best describe the data in the table, let us substitute the value of x given on the table into each equation and check for the equation that gives us the corresponding values of y;
for x = -2, y=-4; substituting x= -2 into each equation, we have;
[tex]\begin{gathered} a)y=x-2=-2-2=-4 \\ b)y=3x-4=3(-2)-4=-16 \\ c)y=x^2-8=-2^2-8=4-8=-4 \\ d)y=2x^2-3=2(-2)^2-3=5 \end{gathered}[/tex]From the first substitution, only equation a and c gave us the corresponding value of y.
Secondly, let's substitute another value of x into the two right right equaabove to confirm the best;
At x=1, y= -7; substituting x=1 into equation a and c we have;
[tex]\begin{gathered} a)y=x-2=1-2=-1 \\ c)y=x^2-8=1^2-8=-7 \end{gathered}[/tex]From the above only equation c gave us the corresponding value of y at x=1.
Since only equation c gave us the corresponding values of y for both substituttions. The equation that best describe the data on the table is equation cequatio
[tex]c\text{. }y=x^2-8[/tex]Can someone help me, please? its timed
The measure of the lableled angles are x = 202 and (x - 44) = 158
What are the values of the labeled angles?Before we can solve this question, we need to understand the geometry of the shape.
The shape we have here is a pentagon. The sum of angles in a pentagon is 540. The angle with a red square is a right angle and the value is 90.
Therefore:
x + 90 + 90 + (x - 44) = 540
x + 180 + x - 44 = 540
2x + 136 = 540
2x = 540 - 136
2x = 404
x = 404/2
x = 202
Also:
(x - 44) = 202 - 44 = 158
Therefore, the angles x and (x - 44) measure 202 and 158 respectively.
Learn more about geometry on:
https://brainly.com/question/11435541
#SPJ1
The unknown value x in the polygon is equal to 112 degrees.
Sum of Angles in a PolygonThe sum of angles in the given polygon be equal to 360 degrees. This implies that when we add all the total sides together, we must have a total of 360 degrees.
Since one of the indicated sides is a right angle, we can sum everything up and solve for x
Mathematically;
[tex]90 + 90 + x +(x - 44) = 360[/tex]
Solving the equation above;
[tex]180 + x + x - 44 = 360\\180 + 2x - 44 = 360\\x = 112[/tex]
The value of x in the figure given is 112.
Learn more on angle in a polygon here;
https://brainly.com/question/1592456
#SPJ1
The stock price for JSR was $74.29 in August. In September the stock had increased by 7%, but in October the price fell by 7%. What was the price of JSR stock in October? Round your answer to the nearest cent, if necessary.
In order to find the price increase multiply by 1 and add the 7%,
[tex]\begin{gathered} 74.29\cdot(1+0.07) \\ 74.29\cdot1.07 \\ 79.4903 \end{gathered}[/tex]then, apply the same to subtract the 7%
[tex]\begin{gathered} 79.4903\cdot(1-0.07) \\ 79.4903\cdot(0.93) \\ 73.925\approx73.93 \end{gathered}[/tex]a department store chain is expanding into a new market, and is considering 16 different sites on which to locate 7 stores. assuming that each site is equally likely to be chosen, in how many ways can the sites for the new stores be selected?
A department store chain that is entering a new area is looking at 16 possible locations for the placement of its 7 outlets. There are 57657600 many possible ways to the sites for the new stores.
Given that,
A department store chain that is entering a new area is looking at 16 possibility locations for the placement of its 7 outlets.
We have to find how many different possibility are there to choose the locations for the new businesses, provided that each site has an equal chance of being chosen.
By multiplying the number of possibilities each store has, we may determine the total number of ways.
It can be put on 16 sites for store 1. 15 locations can accommodate Store 2 (since store 1 is already on site 1). Up until shop 7, which has 10 sites, store 3 can be situated on 14 sites.
The quantity of ways is thus:
= 16 × 15 × 14 × 13 × 12 × 11 × 10
= 57657600
Therefore, there are 57657600 many possible ways to the sites for the new stores.
To learn more about sites visit: https://brainly.com/question/16186500
#SPJ4
Create a system of equations and use algebra to write a quadratic equation with points (-3,-4), (3,14), and (0,-4). Equations 1: -4=9a-3b+c Equation 2: 14=9a+3b+c Equation 3: -4=c
what is the resultiNg of b?
In the system of equations, the value of the variable 'b' will be 3.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The system of the equations is given below.
Equations 1: - 4 = 9a - 3b + c
Equation 2: 14 = 9a + 3b + c
Equation 3: - 4 = c
Put the value of c in equations 1 and 2, then we have
- 4 = 9a - 3b - 4
9a - 3b = 0 ...4
14 = 9a + 3b - 4
9a + 3b = 18 ...5
Subtract equation 4 from 5,
9a + 3b - 9a + 3b = 18 - 0
6b = 18
b = 3
In the system of equations, the value of the variable 'b' will be 3.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ1
If the measures of two angles of a triangle are 96° and 29°, what is the measure of the third angle?
Answer: measure of the third angle is 55 degrees
Step-by-step explanation: the sum of all interior angles in a triangle is always 180 so, 96+29+x=180.
125+x=180
x=55
