hello lol srry I don't know what to do
The customer's claim is incorrect because the value of the number of baskets are in decimal.
What is a system of equation?A system of equations is a set or collection of equations that you deal with all together at once. For a system to have a unique solution, the number of equations must equal the number of unknowns.
For the given situation,
Let the number of small baskets be x
and the number of large baskets be y
Price of small basket = $3 per basket
Price of large basket = $5 per basket
Number of baskets purchased by customer = $45
The system of equations for the above statements are
[tex]x+y=10[/tex] ------ (1)
[tex]3x+5y=45[/tex] ------ (2)
From 1, [tex]x=10-y[/tex]
Now, substitute x in equation 2,
⇒ [tex]3(10-y)+5y=45[/tex]
⇒ [tex]30-3y+5y=45[/tex]
⇒ [tex]2y=45-30[/tex]
⇒ [tex]2y=15[/tex]
⇒ [tex]y=\frac{15}{2}[/tex]
⇒ [tex]y=7.5[/tex]
Substitute the value of y in equation 1, we get
⇒ [tex]x=10-7.5[/tex]
⇒ [tex]x=2.5[/tex]
Only whole numbers of baskets may be purchased. But the value of x and y are in decimals.
Hence we can conclude that the customer's claim is incorrect because the value of the number of baskets are in decimal.
Learn more about the system of equations here
https://brainly.com/question/12760602
#SPJ2
For f (x) = 3x +1 and g(x) = x2 - 6, find (ff + g)(x).
Given:
The two functions are
[tex]f(x)=3x+1[/tex]
[tex]g(x)=x^2-6[/tex]
To find:
The function (f+g)(x).
Solution:
We know that,
[tex](f+g)(x)=f(x)+g(x)[/tex]
Putting the values of given functions, we get
[tex](f+g)(x)=3x+1+x^2-6[/tex]
[tex](f+g)(x)=x^2+3x+(1-6)[/tex]
[tex](f+g)(x)=x^2+3x-5[/tex]
Therefore, the required function is [tex](f+g)(x)=x^2+3x-5[/tex].
What is cot(ZB)?
Reduce fractional answers to lowest terms.
A
25
24
с 7
Answer:
cot∠B = 7/24
General Formulas and Concepts:
Math
SimplifyingTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] cotθ = 1/tanθ = adjacent over oppositeStep-by-step explanation:
Step 1: Define
Angle θ = ∠B
Adjacent Leg = 7
Opposite Leg = 24
Step 2: Find
Substitute in variables [cotangent]: cot∠B = 7/24An economics professor gave her class two tests. 25% of the class passed both tests, and 48% of the class passed the first test. What percent of those who passed the first test also passed the second test? (Round to four decimal places)
9514 1404 393
Answer:
52.0833%
Step-by-step explanation:
The conditional probability formula applies.
P(2|1) = P(2&1)/P(1)
P(2|1) = 0.25/0.48 ≈ 0.520833
About 52.0833% of those who passed the first test also passed the second.
_____
Comment on wording
As a fraction rounded to 4 decimal places, the value would be 0.5208 or 52.08%. This seems to ask for the percentage to be rounded to 4 decimal places, so it is 52.0833%.
Could you show the work to please :)
Answer:
Put a point at (-7,0) and another at (0,-2)
Step-by-step explanation:
2x+7y=-14
Plug in 0
2(0)+7y= -14
7y=-14
y=-2
same thing for x
2x+7(0)=-14
x=-7
'Here are 5 number cards, '2' '5' '7' '8' '9'. One of the cards is removed and the mean average of the remaining 4 cards is 6. Which card was removed (Please show your working).
Answer:
9
Step-by-step explanation:
'Here are 5 number cards, '2' '5' '7' '8' '9'. One of the cards is removed and the mean average of the remaining 4 cards is 6. Which card was removed (Please show your working).
The regular price of a camera is $180.00. The camera is on sale for 25% off the regular price.
What is the sale price of the camera in dollars and cents?
Record your answer in the boxes below. Be sure to use the correct place value.
Answer:
$135
Step-by-step explanation:
180 decrease 25% =
180 × (1 - 25%) = 180 × (1 - 0.25) = 135
If L // M find the value of X. provide step by step explanation please
Answer:
x = 29°
Step-by-step explanation:
If line l is parallel to line m, therefore:
(180° - 130°) + 101° + x° = 180° (angles on a straight line)
50° + 101° + x° = 180°
151° + x° = 180°
x = 180° - 151° (substraction property of equality)
x = 29°
which of the following best describes the quadratic function below ?
A. a parent function
B. an inverse function
C. opens right
D. opens down
Option A is correct, a parent function best describes the quadratic function.
The quadratic function with a vertex at the origin and opening upward is best described as a parent function.
A parent function is the most basic form of a particular type of function.
In the case of quadratic functions, the parent function is f(x) = x².
It has a vertex at the origin (0, 0) and opens upward.
Therefore, a parent function best describes the quadratic function.
To learn more on Quadratic equation click:
https://brainly.com/question/17177510
#SPJ6
help as soon as possible
Answer:
x=20°
y=75°
Step-by-step explanation:
2y + 3x-10= 180 (angles on a straight line add to 180)
3x-10+5x+30=180 (corresponding angles on parallel lines are equal, angles on a straight line add to 180)
solve both equations and you get the answer :)
Does this expression represent the sum 13.76 + 2.8?
14 + 4/100
Answer:
This might be wrong.
False?
Answer:
False
Step-by-step explanation:
14 plus 4/100 equals 14.04
13.76 plus 2.8 equals 16.56
Increase £19060 by 9%
Answer in 2DP
Suppose that 11 inches of wire costs 33 cents. At the same rate, how many inches of wire can be bought for 18 cents?
Answer:6 inches
Step-by-step explanation:
11inch=33 cents
1 cent can buy 11/33= 1/3 inches
18 cents can buy 18 * 1/3 = 6 inches
Answer:
6in. = 18 cents
Step-by-step explanation:
1. Find out how many inches it costs for one inch ( 33/11 = 3)
2. divide 18 by 3 and get 6.
What 28 over 3 as a mixed number
The table shows ordered pairs of the function y=8-2x. What is the value of y when x = 8?
х
-3
-1
1
4
8
10
y
14
10
6
0
?
-12
Answer:
-8
Step-by-step explanation:
for this, all you need to do is plug 8 into x for the equation y=8-2x
y=8-2(8)
y=8-16
y=-8
The value of y when x = 8 is,
⇒ y = - 8
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The table shows ordered pairs of the function as,
⇒ y = 8 - 2x
Now, At x = 8
The value of y is,
⇒ y = 8 - 2x
⇒ y = 8 - 2 × 8
⇒ y = 8 - 16
⇒ y = - 8
Thus, The value of y when x = 8 is,
⇒ y = - 8
Learn more about the function visit:
https://brainly.com/question/11624077
#SPJ7
y = -2x + 3
4x - 5y = 13
Answer:
letters do not belong in math
Step-by-step explanation:
1=1-2=3
which expression is equivalent to 8x - 2y + x + x and why?
A 4x
B 8x
C 6x -2y
D 10x - 2y
Answer:
D
Step-by-step explanation:
8x+x+x-2y=10x-2y variant D
Find an equation for the line that passes through the points (5,-5) and (-1, 4)
Answer:
y = mx + b, so
y = -0.53x + 1.5
Step-by-step explanation:
1. Find the slope of the line. In his case, then the slope is [tex]\frac{-6}{9}[/tex], which converts to 0.53
2. Start part of the equation. y = -0.53 x
3. Find the y-intercept of the line. In this case, it is 1.5
4. Now, you can finish your equation. y = -0.53x + 1.5
d = 60ℎ + 20
car A is traveling from San Francisco. The distance in miles from San Francisco after H hours spent driving is described for the car below .
Answer:
22.78hr
Step-by-step explanation:
the car is moving so fast
Which statement about the simplified binomial expansion of (a – b)n, where n is a positive integer, is true?
Answer:
A on Edge 2021 ;))
Step-by-step explanation:
All terms of the expansion are positive.
The true statement is all terms of the expansion are positive.
What are binomial expansions?Binomial expansions are expansions of expressions that have two terms
The expression is given as:
[tex](a - b)^n[/tex]
This means that the expression (a - b) is to be multiplied by itself, n times.
Hence, all terms of the expansion are positive.
Read more about binomial expansions at:
https://brainly.com/question/11014243
rectangle j is 6 feet wide and 9 feet long rectangle K is 9 feet wide and 12 feet long are the rectangle similar explain
Answer:
NO, they are not similar.
Step-by-step explanation:
Width of rectangle J = 6 ft
Length of rectangle J = 9 ft
Width of rectangle K = 9 ft
Length of rectangle K = 12 ft
Find the ratio of their corresponding dimensions:
Ratio of their width = 6/9 = 2/3
Ratio of the length = 9/12 = 3/4
Their ratio of their corresponding dimensions are not equal. That is, their corresponding dimensions are not proportional to each other. Therefore, they are not similar.
Which of the following options 70
Can y’all help me? 8(m - k) + 5
-8k+8m+5
I think this is the answer
5. A basketball team played a total of 154 games last season. The number of games won, W,
and the number of games lost, L, are represented by the equation W=154-L.
What quantity does the independent variable represent?
What quantity does the dependent variable represent?
Answer:
The team won 110 games and lost 44 games.
Step-by-step explanation:
Find
the
value
of sin 90+ tan45?
Answer:
91.61
Step-by-step explanation:
thats what i got
Answer:
2
Step-by-step explanation:
sin(90) = 1
tan(45) = sin(45)/cos(45) = (2/√2)/(2/√2) =1
12.(06.02 LC)
Audrey is trying to find the equation of a line parallel to y -
x -5 in slope-intercept form that passes through the point (-6, -1). Which of the following equations will she use? (6 points)
3
Oy-(-) = (x - (-
6)
Oy-(-6) = } (x-(-1))
Oy -(-6) = (x-(-1)
Oy-(-1) = (x - (-6))
Answer:its c i took the test
Step-by-step explanation:
im right
convert this into standard form: y=(4/5)x-2
Answer:
4x - 5y = -10
Step-by-step explanation:
Your Welcome :)
El lote rectangular de mi casa tiene 8m mas de profundidad que de frente y para cercalo necesitamos 46m ¿cuales son las dimensiones del lote?
Answer:
Profundidad 1= 15,5 metros
Profundidad 2= 15,5 metros
Frente 1= 7,5 metros
Frente 2= 7,5 metros
Step-by-step explanation:
Suma todo y da 46 metros que es la medida de la cerca.
resta la profundidad con el frente y da 8 metros que es la diferencia o los metros más.
:)
Amanda is researching her ancestry. She records names and birth dates for her parents, their parents and so on, in an online research tool. If she can locate all of the information, how many names will Amanda record in the generation that is 5 generations before her?
Answer:
Step-by-step explanation:
Amanda will record 32 names for the five previous generations.
What is a mathematical function, equation and expression? function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that Amanda is researching her ancestry. She records names and birth dates for her parents, their parents and so on, in an online research tool.
We can write the series as -
Amanda
{M} {F}
{M} {F} {M} {F}
.
.
so on
We can write the sequence as -
2, 4, 8, ....
It is a geometric sequence. For n = 5, we can write -
a(5) = arⁿ⁻¹
a(5) = 2 x (2)⁴
a(5) = 2⁵
a(5) = 2 x 2 x 2 x 2 x 2
a(5) = 32
Therefore, she will record 32 names for the five previous generations.
To solve more questions on functions, expressions and polynomials, visit the link below -
brainly.com/question/17421223
#SPJ2
Sam mixes 8 cups of cereal, 4 cups of pretzels, and 3 cups of nuts to
make a snack mix. How many 1/3-cup servings can he sell at a bake
sale? Write the equations needed to solve the problem. Then solve.
Answer:
45 1/3 cups
Step-by-step explanation:
Let's solve your problem step by step.
It says that Sam has 8 cups of cereal, 4 cups of pretzels, an 3 cups of nuts.
Add all the amount of food together.
8 + 4 + 3 = 15 cups
That was the first equation. (Hint.)
The next equation is:
15 ÷ 1/3= 45
This filling cabinet is 26.5 in long. 15 in wide, and 52 in tall. What is the volume and surface area of this 3D shape?