At a restaurant, there are three different appetizers on the menu: spring rolls, chicken tenders, and pretzel dippers. One group buys 2 plates of chicken
tenders and 1 plate of pretzel dippers, and spends $23 on appetizers. Another group spends $30.75 to buy 3 plates of spring rolls and a plate of chicken
tenders. A third group buys one of each appetizer, spending $22.25 on appetizers.
How much does a plate of spring rolls cost?
A. $7.75
B. $8.50
C. $7.50
D. $6.50
Answer: A
Step-by-step explanation: To solve this problem, we can set up a system of equations to represent the information given in the problem. Let x represent the cost of a plate of spring rolls, y represent the cost of a plate of chicken tenders, and z represent the cost of a plate of pretzel dippers.
The first group spent $23 on 2 plates of chicken tenders and 1 plate of pretzel dippers, so the equation for this group is:
2y + z = $23
The second group spent $30.75 to buy 3 plates of spring rolls and 1 plate of chicken tenders, so the equation for this group is:
3x + y = $30.75
The third group spent $22.25 on one of each appetizer, so the equation for this group is:
x + y + z = $22.25
Now that we have three equations, we can use algebraic techniques to solve for the value of x, which represents the cost of a plate of spring rolls.
First, we can solve the second equation for y:
y = $30.75 - 3x
Substituting this expression for y into the first equation, we get:
2($30.75 - 3x) + z = $23
Solving for x, we find that x = $7.75.
Therefore, the cost of a plate of spring rolls is $7.75, so the answer is A.
Lei withdrew $50 from her bank account every day for a week. What was the change in her account in that week?
how many times does one go into 3
Answer:
Step-by-step explanation: 3?
Which expression is equivalent to 1.2y+4.5-3.4y-6.3
Answer: -2.2y - 1.8
Step-by-step explanation:
Combine like terms
1.2y+(-3.4y)
4.5+(-6.3)
-2.2y - 1.8
HELPPP SOLVE THIS PLEASE ALL OF IT
Answer:
f = 3
g = -1
h = 6
r = 18
Step-by-step explanation:
Box 1
f(x) = [tex]2x^{4}[/tex]-[tex]12x^{3}[/tex]+[tex]16x^{2}[/tex]+4x+15 with x = 3
f(3) = [tex]2(3^{4)}[/tex] - [tex]12(3^{3} )[/tex] + [tex]16(3^{2})[/tex]+ 4(3) + 15
Reorder
Evaluate
Multiply
3f = 2 x 81 - 12 + 27 +16 x 9 + 12 +15
3f = 162 - 324 + 144 + 12 + 15
3f = 9
3 ÷ 3
f = 3
Box 1
g(x) = [tex]3x^{3}[/tex] - [tex]16x^{2}[/tex] - 7x - 36 with x = 6
g(6) = [tex]3(6^{3} )[/tex] - [tex]16(6^{2})[/tex] - 7(6) - 36
g6 = 3 x 216 - 576 - 42 - 36
g6 = -6
6 ÷ 6
g = -1
Box 2
h(x) = [tex]5x^{3}[/tex] - [tex]2x^{2}[/tex] - 3 with x = -1
h(-1) = [tex]5(-1^{3} )[/tex] - [tex]2(-1^{2})[/tex] -3
h-1 = -5 + 2 -3
h-1 = -6
-1 ÷ - 1
h = -6
Box 2
r(x) = [tex]4x^{4}[/tex] - [tex]9x^{2}[/tex] + 5x - 2 with x = 2
r(2) = [tex]4(2^{4} )[/tex] - [tex]9(2^{2} )[/tex] + 5(2) - 2
r2 = 64 - 36 + 10 - 2
r2 = 36
2 ÷ 2
r = 18
plsss helpp meeee!!!!!!!
Answer:
is that geometry
Step-by-step explanation:
A company charges $2 for the first minute of tech
support and 50¢ for every minute after that. Is this
an example of a proportional relationship?
Answer:
No.
Step-by-step explanation:
No.
In a proportional relationship, every minute has the same charge.
Helpp!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! GEOMETRY
Geometry is a topic that deals with shapes, lines and angles. The explanation below is required to show the reasons for the statements are given below:
A triangle has three straight sides and three internal angles. The sum of the internal angles of a triangle is [tex]180^{o}[/tex]. Triangles can generally be classifies with respect to the size of angles, or according to the length of sides. Some common types are; right angles, obtuse angled, acute angle, isosceles, equilateral and scalene.
A right angled triangle is a type which has two of its sides at [tex]90^{o}[/tex] to each other.
Therefore, the required statements and reasons to prove that <JLK ≅ <LJM are:
STATEMENT REASON
1. ΔJKL and ΔLMJ are right triangles Given
2. JK ≅ LM Hypotenuse-Leg (HL)
3. Jl ≅ LJ Reflexive property
4. ΔJKL ≅ ΔLMJ CPCTC
5. <JLK ≅ <LJM Symmetric property
Thus, <JLK ≅ <LJM
Learn more on properties of a right angled triangle at https://brainly.com/question/15249087
#SPJ1
Translate this phrase into an algebraic expression.
60 decreased by twice Jenny's score
Use the variable to represent Jenny's score. please help.
The expression for 60 decreased by twice Jenny's score 60 - 2x.
What is an algebraic expression?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations. As an illustration, the expression x + y has the terms x and y with an addition operator between them.
Let Jenny's score be x.
Twice Jenny's score will be 2x.
Therefore, the expression will be:
= 60 - 2x
Learn more about expressions on:
brainly.com/question/723406
#SPJ1
Please someone help me in 1985, there were 285 cell phone subscribers in the small town of glenwood. the number of subscribers increased by 75% per year after 1985. Find out the number of subscribers in 2008? I just need the equation not the full answer
The number of subscribers in 2008 will be 110845988.
How to calculate the value of the subscriber?From the information, in 1985, there were 285 cell phone subscribers in the small town of glenwood. the number of subscribers increased by 75% per year after 1985.
It should be noted that the number of years between 1985 and 2008 will be:
= 2008 - 1985
= 23 years.
Therefore, the number of subscriber in 2008 will be:
= 285 × (1 + 75%)^23
= 285 × 1.75^23
= 285 × 388933.29
= 110845988
Learn more about percentages on;
brainly.com/question/24877689
#SPJ1
PLEASE HELP!! WILL MARK BRAINLIEST! What is m< C
Answer:
sometimes used to distinguish between the measure of the angle
Step-by-step explanation:
Many credit card companie chard a compound interet rate of 1. 8% per month Nelon owe 950 on a credit card
Following is the geometric progression of Nelson's debt after each month: (E) 950,967.1, 984.51, 1002.23, 1020.27
What is a geometric sequence?A geometric progression sometimes referred to as a geometric sequence in mathematics, is a series of non-zero numbers where each term following the first is obtained by multiplying the preceding one by a constant, non-zero value known as the common ratio.
So, in this issue, the interest rate is as follows: 1.8%.
The debt will therefore be equal to the debt from the previous month multiplied by 100 + 1.8 = 101.8% = 1.018 each month, and the common ratio is as follows: 1.018.
In light of this, the terms of the series are as follows:
2nd term: 950 x 1.018 = $967.1
3rd term: 967.1 x 1.018 = $984.51
4th term: 984.51 x 1.018 = $1002.23
5th term: 1002.23 x 1.018 = $1020.27
Therefore, the following is the geometric progression of Nelson's debt after each month: (E) 950,967.1, 984.51, 1002.23, 1020.27
Know more about geometric sequence here:
https://brainly.com/question/24643676
#SPJ4
Complete question:
Many credit card companies chard a compound interest rate of 1.8% per month Nelson owes 950 on a credit card. If he makes no purchases or payments he will go deeper and deeper into debt.
(im giving brainliest for real answer)
The constant of proportionality of y and x in the graph is given as follows:
k = 3/4.
How to obtain the constant of proportionality?In a proportional relationship, the ratio between the output variable y and the input variable x is constant, and is called constant of proportionality, given as follows:
k = y/x.
A proportional relationship is a special case of a linear function, which has an intercept of zero, as is the case for the graph in this problem.
The marked point on the graph has the coordinates given as follows:
(4,3).
Meaning that the constant of proportionality of y and x in the graph is calculated as follows:
k = y/x = 3/4.
(division of the value of the y-coordinate by the value of the x-coordinate).
More can be learned about proportional relationships at https://brainly.com/question/10424180
#SPJ1
Basic Triangle Proofs (Congruence Only - No CPCTC)
Given:
AB⊥ BC
AD⊥ DC
BC≅ AD
Prove: △ABC≅△CDA
The given triangles are congruent following the side angle side (SAS) congruency .
Given,
AB⊥ BCAD⊥ DCBC≅ AD∴ ∠ A = ∠ B = ∠ C = ∠ D =90°
In Δ ABC and Δ CDA
AB = CD
∠ BAC= ∠ DAC
AB= AD
∴ By Side Angle Side congruent property
Δ ABC ≅ Δ CDA
Congruent refers to figures that are similar in all respects, primarily in terms of size and shape. Congruence describes how two congruent figures relate to one another.
The relationship between two figures that are congruent is referred to as congruence. Let's talk about the triangle SAS congruence now. We don't necessarily need to look into all the sides and angles to determine whether the two triangles are identical.
Triangles must be congruent to mean,
There are no different comparable angle pairs.
It is equal on all comparable sides.
To learn more about congruency
https://brainly.com/question/13879855
#SPJ4
Please help me
And recheck ur answers
Answer:
Interest rate = 7 percent
Step-by-step explanation:
i = prt
r = [tex] \frac{i}{pt} [/tex]
r = [tex] \frac{1400}{20000 \times 1} [/tex]
r = 0.07
0.07 x 100 = 7
"opt-in" organ donation programs, where adults can choose to enroll in the program, have approximately 15% participation rates; "opt-out" organ donation programs, in which adults are enrolled by default and can choose to decline participation in the program, have approximately 90% participation rates. What best explains this difference?
It explains that people don't want to donate their organs in opt out because the probability of non donation public are greater.
As we know people who wants to donates their is organs opt out are approximately around 15 %
And we also know that people who don't want to donate their organs are approx. 90 %
In countries such as Australia, laws make organ donation the default option at the time of death, and so people must explicitly “opt out” of organ donation. In these so-called opt-out countries, more than 90% of people register to donate their organs.
To know more about the organ donation
https://brainly.com/question/14325636
#SPJ4
1/10 of the m&m in the bag are red and 1/5 are blue. What fraction of alll the m&m are red and blue
Step-by-step explanation:
we need to bring them to the same denominator. in this case : 10
so, 1/10 of everything are red.
1/5 = 2/2 × 1/5 = 2/10 of everything are blue.
so, we now just add these two :
1/10 + 2/10 = 3/10
so, 3/10 are red and blue (rather red or blue, because none are red and blue)..
i need help please!!
Answer:
12
Step-by-step explanation:
Identify the kind of equence hown: 2, -1, -4, -7, -10,. *
Arithmetic
Geometric
Neither
The kind of sequence shown 2, -1, -4, -7, -10, is definitely an arithmetic sequence.
What are sequences?In mathematics, a sequence is a collection of numbers or items that have been organised in a certain order in accordance with a set of rules. These sequences, which might be endless or finite, are useful for simulating a variety of real-world processes. In addition to its practical uses, sequences are an essential mathematical notion that allows us to analyse patterns and relationships between numbers. We may edit and examine sequences to better understand their characteristics and behaviour by applying mathematical operations. Sequences are frequently used to investigate patterns and relationships between numbers, as well as to solve problems in a variety of mathematical disciplines such as algebra, calculus, and geometry. Arithmetic sequences, geometric sequences, recursive sequence are a few examples of frequent sequence types.
How to solve?
In an arithmetic sequence, the difference between any two consecutive terms is constant.
In the given sequence, the difference between any two consecutive terms is -3. i.e.,
d = -10 - (-7) = -7 -(-4) = -4 - (-1) = -1 - (2) = -3
Therefore, the sequence is an arithmetic sequence.
To learn more about sequences,visit:
https://brainly.com/question/21961097
#SPJ4
What is the vertex of g(x) = -6.3|x|
2x - 5y = 14
y = 3x+5
Answer:
x = -3
y = -4
Step-by-step explanation:
2x - 5y = 14 ⇒ ( 1 )
y = 3x + 5 ⇒ ( 2 )
First, let us find the value of x.
For that let us use equation ( 1 ) and replace y with (3x + 5 ).
2x - 5y = 14
2x - 5 ( 3x + 5 ) = 14
Solve the brackets.
2x - 15x - 25 = 14
Combine like terms.
-13x - 25 = 14
Add 25 to both sides.
-13x = 14 + 25
- 13x = 39
Divide both sides by -13.
x = -3
Let us find the value of y.
For that, use equation (2) and replace x with (-3).
y = 3x + 5
y = 3 × -3 + 5
y = - 9 + 5
y = -4
Describe the correlation in the scatter plot below.
Answer:
Step-by-step explanation:
The scatter plot shows positive correlation because as the plotted values of x increase, the values of y generally increase.
When x and y both increase, you have a positive correlation. When one increases and the other decreases then you have a negative correlation.
Write the equation of the line that passes through the given points (0 1) and (2 2).
The equation for the line connecting the two points is as follows y = 2x + x.
What is an example of an equation?A mathematical statement known as an equation is comprised of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.
Briefing:Equation of a line:
y = mx +b
Where;
m = slope
b = y-intercept
You are given the y-intercept from the point (0,2). When x = 0, y = 1
You can then see from the Eq: y = mx + b
that b = 1
By dividing the change in y by the change in x, or "rise over run," one may get the slope, m.
m = (y1-y2)/(x1-x2)
One of the points is (x1, y1) and the other (x2, y2)
m = (1-(2)) / (0 -(2))
m = (-1)/(-2) = 1/2
The equation for the line connecting the two points is as follows:
y = 2x + x.
To know more about Equation visit:
https://brainly.com/question/29657983
#SPJ4
At a hospital, out of 10 doctors, 3 are on duty on Saturday, 4 on Sunday, and 2 on both days. If one of these doctors is randomly selected, what is the probability that she or he is on duty on Saturday or Sunday?
The probability distribution that she or he is on duty on Saturday or Sunday will be 0.7
What is probability distribution ?
A frequency distribution that has been idealised is a probability distribution.
An individual sample or dataset is described by its frequency distribution. It's the number of times in the dataset that each potential value of a variable appears.
The probability of occurrence of a value determines how frequently it appears in a sample. Probability is a value between 0 and 1 that indicates the likelihood that something will happen:
Zero denotes impossibility.1 denotes a certainty.A value will occur more frequently in a sample the higher its likelihood.
The probability of a value is more particularly the relative frequency in an indefinitely large sample.
Probability distributions are theoretical since it is not feasible to obtain infinitely large samples in practise.
They are idealised frequency distributions that are intended to represent the population from which the sample was taken.To characterise the populations of real-world variables, such as coin tosses or the weight of chicken eggs, probability distributions are utilised. They are also used to calculate p values in hypothesis testing.Let the people work on Sunday = sun = 4
Let the people work on Saturday = sat = 3
total no. of doctors are 10
so the probability distribution of people work on either Sunday or Saturday will be :
= Sun + sat / total no of doctors
= 3+4/10
=0.7
Learn more about probability distribution from the link below
https://brainly.com/question/14210034
#SPJ1
Chris and Pat go on a 30 km run. They both usually run at 10 km/h. If Chris runs at 1/2 his usual running speed, and Pat runs at 3/2 times her usual speed, how many more hours does it take Chris to complete the run than it takes Pat to complete the run?
A. 2 B.4 C.1 d.6
Answer: d.) 6
Step-by-step explanation:
Since Chris runs 1. 2 as fast as his usual running speed, he runs at 5 km/h, and so will take 6 hours to complete the 30 km run. Since Pat runs at 11. 2 times her usual speed.
On a snow day, Logan created two snowmen in his backyard. Snowman A was built to
a height of 34 inches and Snowman B was built to a height of 46 inches. The next day,
the temperature increased and both snowmen began to melt. At sunrise, Snowman
A's height decrease by inches per hour and Snowman B's height decreased by 7
inches per hour. Let A represent the height of Snowman A t hours after sunrise and
let B represent the height of Snowman B t hours after sunrise. Write an equation for
each situation, in terms of t, and determine the interval of time, t, when Snowman A
is taller than Snowman B.
A
B =
Snowman A is taller than Snowman B when to
Equation for each situation are A = 59 -7t and B = 34 -2t and t<5 is the interval of time.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Snowman A starts at 59 inches and decreases height at 7 inches per hour.
The height can be represented as A = 59 -7t
Snowman B starts at 34 inches and decreases height by 2 inches per hour. That height can be represented by B = 34 -2t
A is taller than B.
A > B
59 -7t > 34 -2t
add 7t-34
25 > 5t
Divide by 5
5 > t
A will be taller than B when t < 5.
Hence, A = 59 -7t and B = 34 -2t are equation for each situation and t< is the interval.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ1
Isaac owns a food truck that sells tacos and burritos. He only has enough supplies to make 130 tacos or burritos. He sells each taco for $4.25 and each burrito for $8.50. Isaac must sell a minimum of $850 worth of tacos and burritos each day. If xx represents the number of tacos sold and yy represents the number of burritos sold, write and solve a system of inequalities graphically and determine one possible solution.
By solving linear inequation, it can be calculated that
x = 60 , y = 70 is one possible solution.
What is linear inequation?
Inequation shows the comparison between two algebraic expressions by connecting the two algebraic expressions by <, >, ≤, ≥
A one degree inequation is known as linear inequation
Let the number of tacos sold be $x and the number of burrito sold be $y
He only has enough supplies to make 130 tacos or burritos.
x + y [tex]\leq[/tex] 130 ... (1)
He sells each taco for $4.25 and each burrito for $8.50.
Isaac must sell a minimum of $850 worth of tacos and burritos each day.
4.25x + 8.5y [tex]\geq[/tex] 850
x + 2y [tex]\geq[/tex] 200 ... (2)
The inequalities has been solved graphically
One possible solution is x = 60, y = 70
To learn more about linear inequation, refer to the link-
https://brainly.com/question/24372553
#SPJ1
There are 25 girls and 16 boys on the swim team. What percentage of the team is made up of boys?
Answer:
16/41 or 39%
Step-by-step explanation:
add both boys and girls and divide boys by that number
Which represents a side length of a square that has an area of 450 square inches? in. In. 112. 5 in. 115. 5 in.
If a square has an area of 450 square inches then according to Area = 2(length of a side), the length of one side of that square will be 225 inches.
What is the formula of area and perimeter of square?The formula of Area of a Square is ,
area = side × side = side² square units
whereas the perimeter of square is = 4 x side
What is a square simple definition?A square is a quadrilateral with four equal sides and four equal angles that is a regular quadrilateral. The square's angles are at right angles or at 90 degrees.
let the length of a side of a square is x
area of square is = 450 square inches
as area of square is found as
Area = 2(length of a side)
2x = 450 square inches
x =450/2
x=225 inches
so the length of each side of square is 225 inches.
To learn more bout area of square visit:
https://brainly.com/question/17707380
#SPJ4
n a coordinate plane, Triangle XYZ is rotated 90 degrees counterclockwise about the origin to form Triangle X'Y'Z'. Which conclusion is always true?
△X'Y'Z' is transformed form △XYZ. If △XYZ rotated 90 degrees counterclockwise about the origin, then YZ ⊥ Y'Z'. Hence option B is the correct option.
What is transformation?
A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.
Given that,
△XYZ is rotated 90 degrees counterclockwise about the origin to form △X'Y'Z'.
Each side of △XYZ is rotated 90 degrees counterclockwise.
Then the angle between corresponding sides of △XYZ and △X'Y'Z' are 90 degrees.
Therefore
XY⊥X'Y'
YZ ⊥Y'Z'
ZX ⊥ Z'X'.
To learn more rotated 90 degrees counterclockwise, click on below link:
https://brainly.com/question/29279285
#SPJ1