The cost of one chair is \(x=54.75\) $ and the cost of one table is \(y=49.5\) $.
What is the total cost?
The total cost formula is used to combine the variable and fixed costs of providing goods to determine a total. The formula is:
Total cost = (Average fixed cost x average variable cost)
Let cost of one chair is \(x\)
Let cost of one table is \(y\)
So,
\(5x+3y=31\) ...(1)
\(2x+6y=52\) ......(2)
Solving equation (1) and (2) we get
\(a_1x+b_1y+x_1=0\\\\a_2x+b_2y+c_2=0\)
\(\frac{x}{b_1c_2-b_2c_1}=\frac{y}{c_1a_2-c_2a_1}=\frac{1}{a_1b_2-a_2b_1}\\\\\frac{x}{3(31)-6(52)}=\frac{y}{31(2)-52(5)}=\frac{1}{5(2)-2(3)}\\\\\frac{x}{93-312}=\frac{y}{62-260}=\frac{1}{10-6}\\\\\frac{x}{-219}=\frac{y}{-198}=\frac{1}{-4}\\\\x=54.75,y=49.5\)
Hence, the cost of one chair is \(54.75\) $ and the cost of one table is \(49.5\) $.
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The probability of choosing a green grape out of the bag that contains red and green grapes without looking is 11/15 . Which term best describes this probability?
Answer:
Likely
Step-by-step explanation:
look at the picture above please help
Answer:
♨ \( \underline{ \underline{ \red{\large {\tt{Step - By - Step \: Explanation}}}}} : \)
☄ \( \underline{ \underline{ \large{ \pink{ \tt{G \: I\: V\: E \: N}}}}} : \)
Height ( h ) = 4 cm , Base ( b ) = 16 cm☂ \( \underline{ \underline{ \large{ \purple{ \tt{T \: O \: \: F \: I \: N \: D}}}} }: \)
Area of the parallelogram☃ \( \underline{ \underline{ \large{ \orange{ \tt{ S \: O \: L \: U \: T \: I \: O\: N}}} }}: \)
☼ \( \boxed{ \large{ \sf{Area \: of \: a \: parallelogram = base(b) \times height(h)}}}\)
~Plug the known values & then multiply!
⤑ \( \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \large{ \tt{16 \: cm \times 4cm}}\)
⤑ \( \: \: \: \: \: \: \: \: \: \: \: \: \ \: \: \: \: \: \: \: \: \: \: \: \ \boxed{\boxed{\large{ \tt{64 \: {cm}^{2} }}} }\)
☥ \( \large{ \boxed{ \tt{Our \: Final \: Answer : \boxed{ \underline{ \bold{ \red{ \tt{64 \: {cm}^{2} }}}}}}}}\)
♡ Hope I helped! ツ
Have a wonderful day / night !
✎ \( \underbrace{ \overbrace{ \mathfrak{Carry \: On \: Learning}}}\) ✔
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Answer:
\(\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}\huge \fbox \pink {:}\huge \fbox \pink{-}\)
Given:
base[b]=16cm
height [h]=4cm
we have
Area of parallelogram=base ×height
=16×4=64cm²is your answer.
find the slope of the line that contains (-9,-4) and (4,-4)
Answer:
0
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-4-(-4))/(4-(-9))
m=(-4+4)/(4+9)
m=0/13
m=0
Help with number 11-please
Step-by-step explanation:
11.
-165 + 3217 + 65
what I see right away is the equality of the 2 digit positions between -165 and +65. I can immediately combine them to -100.
and then the rest is easy : 3217 - 100 = 3117.
173 + (-43) + (-97)
I see that -43 and -97 combine nicely too: I can take the -3 of -43 and add this to -97, which gives me -100, while it leaves -40 on the former -43 side. it is now easy to combine these to -140.
and 173 - 140 is again easy to calculate : 33
Leah works at an appliance store. She recorded her recent sales.
washing machines 3
dishwashers 1
ovens 6
clothes dryers 5
What is the experimental probability that the next appliance Leah sells will be an oven?
6/15
you add everything she sells together. ( 3+1+6+5=15) Then you put the amount of ovens she sells above taht number, making it a fraction.
I need help right now!!!
1. Figure STUV is congruent to Figure KLMN because rigid motions can be used to map Figure STUV onto Figure KLMN.
2. Figure STUV is also similar to Figure KLMN because rigid motions and/or dilations can be used to map Figure STUV onto Figure KLMN. The scale factor is 2.
What does it mean for figures to be congruent?When it is said that two figures are congruent, like the ones shown on the graph, This means that they have the same shape and size.
Similar figures have the same shape, but they may have different sizes and be located in different positions.
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A four-ounce serving of Campbell's Pork & Beans contains 5 grams of protein and 21 grams of carbohydrates A typical slice of "lite" rye bread contains 4 grams of protein and 12 grams of carbohydrates.
(a) I am planning a meal of "beans-on-toast" and I want it to supply 20 grams of protein and 80 grams of carbohy- drates. How should I prepare my meal?
(b)If I require A grams of protein and B grams of carbohy- drates, give a formula that tells me how many slices of bread and how many servings of Pork & Beans to use.
(a) To meet the desired 20g protein and 80g carbohydrate intake, prepare 4 servings of Pork & Beans and combine with 15 slices of "lite" rye bread.
(b) Bread: A/4 slices, Beans: B/21 - (A/4) * (12/21) servings.
(a) To prepare a meal of "beans-on-toast" that supplies 20 grams of protein and 80 grams of carbohydrates, you can use the following combination:
- Servings of Campbell's Pork & Beans: 4 servings.
- Slices of "lite" rye bread: 15 slices.
By using 4 servings of Campbell's Pork & Beans, you will obtain a total of 20 grams of protein (5 grams per serving) and 84 grams of carbohydrates (21 grams per serving).
Combining this with 15 slices of "lite" rye bread will contribute an additional 60 grams of carbohydrates (12 grams per slice) and 4 grams of protein (4 grams per slice). Thus, your meal will meet the desired nutritional requirements of 20 grams of protein and 80 grams of carbohydrates.
(b) The formula to determine the number of slices of bread and servings of Pork & Beans needed to meet specific protein and carbohydrate requirements is as follows:
- Number of slices of bread (Bread): A divided by 4.
- Number of servings of Pork & Beans (Beans): (B divided by 21) minus ((A divided by 4) multiplied by (12 divided by 21)).
Using this formula, you can calculate the appropriate quantities of bread and beans based on the desired protein (A) and carbohydrate (B) values.
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I need help please.
There are 120 boys in Morris middle school. What is the total number
students in Morris middle school?
Answer:
121
Step-by-step explanation:
trust me i got you wuth that 2016 throwback
1/6 times 3/5 in simplist form
Answer:
0.1
Step-by-step explanation:
Find the area of the triangle having the indicated angle and sides. (Round your answer to one decimal place.)
B 128°, a 86, c = 37
The area of the triangle with angle B = 128°, side a = 86, and side c = 37 is approximately 2302.7 square units.
To find the area of a triangle when one angle and two sides are given, we can use the formula for the area of a triangle:
Area = (1/2) * a * b * sin(C),
where a and b are the lengths of the two sides adjacent to the given angle C.
In this case, we have angle B = 128°, side a = 86, and side c = 37. To find side b, we can use the law of cosines:
c² = a² + b² - 2ab * cos(C),
where C is the angle opposite side c. Rearranging the formula, we have:
b² = a² + c² - 2ac * cos(C),
b² = 86² + 37² - 2 * 86 * 37 * cos(128°).
By substituting the given values and calculating, we find b ≈ 63.8.
Now, we can calculate the area using the formula:
Area = (1/2) * a * b * sin(C),
Area = (1/2) * 86 * 63.8 * sin(128°).
By substituting the values and calculating, we find the area of the triangle to be approximately 2302.7 square units.
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Let R(x) =X-3/x-4. Solve for R(x) <= 0.
The value of x in the function r(x) = x - 3/x-4 is equal is 3.
To solve this problem, all that is required from us is simply substitute the values and solve for the value of x.
Data;
R(x) = x-3/x-4R(x) = 0What is a Function?A function from a set A to a set B assigns to each element of A exactly one element of B. The set A is usually the domain of the function while the set B is the codomain of the function.
Given that the function R(x) is
\(R(x) = \frac{x-3}{x-4}\)
And also, R(x) is equal to 0.
\(R(x) = \frac{x-3}{x-4}\\ 0= \frac{x-3}{x-4} \\0(x-4) = x - 3\\0 = x- 3\\x = 3\)
The value of x in the function is 3.
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Given the vertices, determine the quadrilateral's most specific classification.
A(5, -3) B(7, 1) C(9, -3) D(-7, 7)
How many fewer people in the 18-25 year age group have
some form of technology career compared to all other
age groups combined?
Technology Career types for
different age groups (as a number)
41+ yrs
36-40 yrs
26-35 yrs
18.25
690
782
1.784
1673
24312
3.215
2.709
3.567
4.673
14326
15,822
Please select the correct answer from the options
shown.
a. 26,191
b. 28,345
c. 30,139
d. 33,469
Given statement solution:- The fewer people in the 18-25 year age group result is negative, it indicates that the 18-25 year age group has more people with some form of technology career than all other age groups combined. None of the options provided (a, b, c, d) are correct.
To find the number of fewer people in the 18-25 year age group with some form of technology career compared to all other age groups combined, we need to sum up the technology career numbers for all age groups except the 18-25 year age group and then subtract it from the number for the 18-25 year age group.
Sum of technology career numbers for age groups other than 18-25 years:
(41+ yrs) + (36-40 yrs) + (26-35 yrs) = 24312 + 3.215 + 2.709 = 24318.924
Number of fewer people in the 18-25 year age group compared to all other age groups combined:
1673 - 24318.924 = -22645.924
Since the fewer people in the 18-25 year age group result is negative, it indicates that the 18-25 year age group has more people with some form of technology career than all other age groups combined. Therefore, none of the options provided (a, b, c, d) are correct.
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A camera is capable of snapping (3/4) of a picture per. how long will take the camera to snap 6 picture
A school newspaper reporter decides to randomly survey 13 students to see if they will attend Tet (Vietnamese New Year) festivities this year. Based on past years, she knows that 23% of students attend Tet festivities. We are interested in the number of students who will attend the festivities. Part (a) Part (b) List the values that X may take on. O X =0, 1, 2..... 23 x = 1, 2, 3....23 x = 1, 2, 3....13 OX0.1.2..... 13 OO Part (c) Give the distribution of X. X-OX (0:0) Part (d) How many of the 13 students do we expect to attend the festivities? (Round your answer to the nearest whole number.) student(s) O Part (e) Find the probability that at most 3 students will attend. (Round your answer to four decimal places.) Part (0) Find the probability that more than 2 students will attend. (Round your answer to four decimal places.)
The probability that more than 2 students will attend is 0.9179.
Part (a) List the values that X may take on.
X may take on the values 0, 1, 2, 3, ..., 13.
Part (b) Give the distribution of X.
The distribution of X can be represented as follows: X-0:0, 1:0.23, 2:0.23, 3:0.23, 4:0.23, 5:0.23, 6:0.23, 7:0.23, 8:0.23, 9:0.23, 10:0.23, 11:0.23, 12:0.23, 13:0.23
Part (c) How many of the 13 students do we expect to attend the festivities? (Round your answer to the nearest whole number.)
We can expect 3 students to attend the festivities.
Part (d) Find the probability that at most 3 students will attend. (Round your answer to four decimal places.)
The probability that at most 3 students will attend is 0.6923.
Part (e) Find the probability that more than 2 students will attend. (Round your answer to four decimal places.)
The probability that more than 2 students will attend is 0.9179.
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What is the common difference between successive terms in the sequence?
2, 8, 14, 20, 26,
Answer:
They get greater, obviously and they never lessen
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
The common difference is was is being added with each number
For example-
8 - 2 = 6
14 - 8 = 6
And so on, Therefore-
Common difference is 6
Find the area. Do you multiply all sides?
Answer:
The area of the Trapezoid is :
h(a+b)/2
3(2+6.2)/2
3(8.2)/2
24.6/2
12.3 m²
Answer:
Step-by-step explanation:
I think you are to assume that this is a trapezoid and that the top right angle symbol is missing.
Area = (b1 + b2 ) * h /2
Givens
b1 = 2
b2 = 6.2
h = 3
Solution
Area = (2 + 6.2)* 3 / 2 Combine what is inside the brackets
Area = 8.2 * 3 / 2 Divide by 2
Area = 4.1 * 3 Combine
Answer: Area = 12.3
Differentiate y=x4 -x
Answer:
Step-by-step explanation:
To differentiate the function y = x^4 - x, we will use the power rule of differentiation. The power rule states that if f(x) = x^n, then the derivative of f(x) is f'(x) = nx^(n-1).
So, for y = x^4 - x, we can find the derivative as follows:
y' = 4x^3 - 1
So, the derivative of the function y = x^4 - x is y' = 4x^3 - 1.
Use the ruler to find 1/1/10 and 4/1/10
Answer:
50
Explanation
Based on the given conditions, formulate: 1\div \frac {1}{10} + 4\div \frac {1}{10}
Divide a fraction by multiplying its reciprocal:10 + 4 \times 10
Calculate the product or quotient:10 + 40
Calculate the sum or difference:50
Answer: 50
Step-by-step explanation:
What’s the answer to this
In what place will the first digit of the quotient 5.64 divided by 15
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an angle which measures less than right angle is called ...... angle
Answer:
An angle which measures less than right angle is called Acute angle.
Answer:
Acute angle
Step-by-step explanation: Acute angles: measure less than 90 degrees. Right angles measure 90 degrees. Obtuse angles measure more than 90 degrees.
Andrew and Kate have $30 to spend on dinner, tax, and gratuity at Mo’s Restaurant. Tax is 6%, and they will give a 15% tip on the total bill after taxes. Their dinner costs $21.00. Which statement correctly explains whether Andrew and Kate have enough money to pay their bill?
Yes. They have enough to pay their bill: 30 dollars times 1.06 = 31 dollars and 80 cents and 31 dollars and 80 cents times 1.15 = 36 dollars and 57 cents.
Yes. They have enough to pay their bill: 21 dollars times 1.06 = 22 dollars and 26 cents and 22 dollars and 26 cents times 1.15 = 25 dollars and 60 cents.
No. They do not have enough to pay their bill: 30 dollars times 1.06 = 31 dollars and 80 cents and 31 dollars and 80 cents times 1.15 = 36 dollars and 57 cents.
No. They do not have enough to pay their bill: 21 dollars times 1.06 = 22 dollars and 26 cents and 22 dollars and 26 cents times 1.15 = 25 dollars and 60 cents.
Answer:
ANSWER: Yes. They have enough to pay their bill: 21 dollars times 1.06 = 22 dollars and 26 cents and 22 dollars and 26 cents times 1.15 = 25 dollars and 60 cents.
Step-by-step explanation:
convert all % to decimals
0.06 x 21 = $1.26 tax
0.15 x 21 = $3.15 tip
1.26 + 3.15 = $4.41 added payment
4.41 + 21 = = $25.41 total bill
(yes i am aware i did the method differently since i learned it another way but the answer should till be correct.)
Answer:
Yes. They have enough to pay their bill: 21 dollars times 1.06 = 22 dollars and 26 cents and 22 dollars and 26 cents times 1.15 = 25 dollars and 60 cents. Otherwise B.
-
3/1
213
- 3)
-
Simplify the expression
properties of operations used.
Cite the
5
(please help if you can and thank you so much!) hurry
Answer:
7/10 or 0.7
Step-by-step explanation:
-3/2 (1/3 - 4/5)
(-3/2) (1/3 + -4/5)
(-3/2)(1/3) + (-3/2)(-4/5)
-1/2 + 6/5
7/10
I think this PDF should assist you in the property of operations for fractions and also help you in solving future problems.
20 POINTS for that someone can give me just the anwers
Answer:
Solutions for x are 2, 1/3
Everything in the second image is correct except you forgot to put 2 for c in the quadratic formula.
Answer:
:)
Step-by-step explanation:
In a class of 26 students, 14 have a cat and 7 have a dog. There are 5
students who have a cat and a dog. What is the probability that a
student chosen randomly from the class does not have a dog?
Answer:
9/26
Step-by-step explanation:
Im sorry, but probablity is quite hard to explain, but I'll try my best. So what you know is that there are a total of 26 students right? Out of these 25, 14 have at least a cat, and 7 have at least a dog. But 5 of them have a cat and a dog. This means that 14-5, and 7-5, are for only a cat and only a dog respectively. So, people with only a cat don't have a dog, meaning that 14-5, which is 9 people only have a cat. Therefore, out of the 25 people, only 9 don't have a dog, making the probablitly 9/25.
:)))))))))))))))))))))))))))))
estimate the quotient usuing compatible numbers
2252 divided by 7
The quotient using compatible numbers for 2252 divided by 7 is 321 remainder 5.
What are compatible numbers?Compatible numbers are those that are simple to mentally add, subtract, multiply, or divide. Compatible numbers are close in value to the actual numbers, making it easy to estimate the answer and solve problems.
The following steps are required:
Step 1: Take the dividend's first digit from the left.
Step 2: Next, divide it by the divisor and write the result as the quotient on top.
Step 3: Subtract the result from the digit and record the difference.
Step 4: Subtract the dividend's next digit (if present).
Step 5: Write the value gotten.
A quotient is a quantity created by the division of two numbers in mathematics. The quotient is widely used in mathematics and is also known as the integer component of a division, a fraction, or a ratio. In this case, the value gotten after the division is 321 remainder 5.
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I have to show work of how i get the values of x, y and z
x= -3
y=4
z=5
Answer:
use symbolab, it helps explain your math problems step by step.
Step-by-step explanation:
mr peters drives 266 miles in 3.5 hours what is the rate mr peters travels
Answer:
The answer is 76
Step-by-step explanation:
I just divided 266 by 3.5 - *I used a calculator*