Answer:
Using the concept of linear equations, we made two equations. Solving those two equations, we find that the cost of couch is $678 and that of coffee is $339.
Step-by-step explanation:
Concept: Let the cost of couch be $x and that of coffee be $y. The total cost is $1017, so,
x + y = 1017
Also, the cost of couch is two times that of coffee. So,
x = 2y
Substitute the value of x in first equation
2y + y = 1017
3y = 1017
y = 339
And, x + y = 1017
x + 339 = 1017
x = 678
Using the two equations, we find that y = $339 and x = $678.
So, the cost of couch is $678 and that of coffee is $339.
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A bag contains 6 blue marbles, 10 red marbles, and 9 green marbles. If two marbles are drawn at random without replacement, what is the probability that two red marbles are drawn?
Convert 4/6 into a fraction with a denominator of 24
please help asappppppppppppppppppppppppppppp
The shorter leg of a 30°-60°-90° triangle is 6. what is the length of the hypotenuse? 12 description
Which point is the center of the circle?
A.point W
B.point X
C.point Y
D.point Z
Answer:
The center of given circle is X.
Step-by-step explanation:
Given : Circle .
To find: Which point is the center of the circle?
Solution : The diameter of a circle subtends a right angle to any point on the circle is called center of circle .
Therefore, The center of given circle is X.
Answer:
Hence, point X is the center of the circle.
Step-by-step explanation:
We are given a circle.
We have to find the center of a circle.
Circle: It is the set of points in a plane which are equidistant from a particular point called the center of the circle.
As we can see all the points of a circle are equidistant from point X
Hence, point X is the center of the circle.
Hence, correct option is:
B. point X
What is the value of 3x ( 2x²+6x+3) when x is -3?
a. -27
b. 0
c. 27
d. 54
How many perfect cubes divide evenly into 13, 824?
the number of people who own computers has increased 23.2% annually since 1990. if half a million people owned a computer in 1990 predict how many people will own a computer in 2015
The no. of people own computer in 2015 are 92.0953 million.
What is compound interest?The interest charged on a loan or deposit is known as compound interest. In our day-to-day lives, it is the concept we use the most. The amount's compound interest is based on both the principal and the interest earned over time. This is the primary distinction between simple and compound interest.
Given annually increase rate of computers = R = 23.2%
people own computer in 1990 = 1/2 million = 0.5 million
let no. of people own computer in 2015 be x
compound interest for annually increase in rate is p[tex](1 + R/100)^{t}[/tex]
where t = time and R = rate
Time = 2015 - 1990 = 25 years
x = 0.5(1 + 23.2/100)²⁵
x = 0.5(1.232)²⁵
x = 0.5 × 184.1906
x = 92.0953 million
Hence 92.0953 million people own computer in 2015.
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What is the difference between linear and nonlinear equations
A gumball machine contains 23 green gumballs, 52 red gumballs, 34 blue gumballs,61 yellow gumballs, and 30 pink gumballs. What percentage of the gumballs are red?
Harry works for a major sporting goods distributor. He earns a base salary of $30,000 per year and 5% commission on his sales. How much will Harry need to sell to earn $50,000 by the end of the year?
He needs to sell $400,000 worth of goods.
Base salary = $30000
Percent Commission = 5%
Let the amount of goods that need to be sold be represented by x
Therefore, the equation will be:
30000 + (5% × x) = 50000
30000 + (0.05 × x) = 50000
30000 + 0.05x = 50000
Collect like terms
0.05x = 50000 - 30000
0.05x = 20000
x = 20000/0.05
x = 400000
Therefore, he needs to sell $400,000 worth of goods.
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How to find the solutions for a quadratic inequality?
If a car rental costs $35 per day plus $0.79 per mile, and you are traveling for 4 days, 389 miles, how much is the total rental?
Answer:
Total rent costing for traveling for 4 days, 389 miles is $447.31
Step-by-step explanation:
Given : a car rental costs $35 per day plus $0.79 per mile.
We have to find the total rent costing for traveling for 4 days, 389 miles.
Since, Cost of car rent per day is $35
Thus, Cost of car rent for 4 days is $ 35 × 4 = $140
Also, Cost of car rent per miles is $0.79
Thus, Cost of car rent for 389 miles is $ 0.79 × 389 = $307.31
Thus, total car rental cost = Cost of car rent for 4 days + Cost of car rent for 389 miles.
Total car rental cost = $140 + $307.31
Total car rental cost = $447.31
Thus, total rent costing for traveling for 4 days, 389 miles is $447.31
Which statement describes a parallelogram that must be a square?
A. A parallelogram with a pair of congruent consecutive sides and diagonals that bisect each other.
B. A parallelogram with a pair of congruent consecutive sides and diagonals that are congruent.
C. A parallelogram with a right angle and diagonals that are congruent
D. A parallelogram with diagonals that bisect each other.
Answer: B. A parallelogram with a pair of congruent consecutive sides and diagonals that are congruent.
Step-by-step explanation:
We know that a parallelogram is a quadrilateral having congruent opposite sides and its diagonals bisect each other.
A square is a kind of parallelogram having all its consecutive sides equal and both diagonals congruent to each other.
Its all 4 angles are right angle.
let's check all the statements :
A. A parallelogram with a pair of congruent consecutive sides and diagonals that bisect each other.
→It can be rhombus ∵ it also has same characteristics.
B. A parallelogram with a pair of congruent consecutive sides and diagonals that are congruent.
→ It only occurs in square.
C. A parallelogram with a right angle and diagonals that are congruent .
→ it can be a rectangle ∵ it has all its angles right angle and diagonals are congruent.
D. A parallelogram with diagonals that bisect each other.
→ It is the basic property of parallelogram , it can describe a rhombus or rectangle both.
The statement that must be true is (b) A parallelogram with a pair of congruent consecutive sides and diagonals that are congruent.
A parallelogram has parallel and congruent opposite sides
However, the following must be true about parallelograms that can be regarded as squares:
There are congruent consecutive sidesThe diagonals are congruentHence, the true statement is (b)
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How does the graph of g(x) = 1/x+4-6 compare to the graph of the parent function f(x)=1/x ?
We are given a parent function f(x) as:
[tex]f(x)=\dfrac{1}{x}[/tex]
and the transformed function g(x) is given by:
[tex]g(x)=\dfrac{1}{x+4}-6[/tex]
We know that the transformation of the type:
f(x) → f(x+a)
is either a shift a units to the left or to the right depending whether a is positive or negative respectively.
Also, the transformation of the type:
f(x) → f(x)+a
is the shift of the function f(x) either upward or downward depending on whether x is positive or negative respectively.
Here the function g(x) is:
[tex]g(x)=f(x+4)-6[/tex]
This means that the function g(x) is a shift of the function f(x) 4 units to the left and then it is translated 6 units downward.
Also we may see by the graph.
Divide. (5 1/4)÷(−2 1/2) Enter your answer as a mixed number, in simplified form, in the box.
Answer: [tex]-2\dfrac{1}{10}[/tex]
Step-by-step explanation:
The given expression to simplify : [tex]5\dfrac{1}{4}\div-2\dfrac{1}{2}[/tex] (i)
First we convert mixed fraction into improper fraction as :
[tex]5\dfrac{1}{4}=\dfrac{5\times4+1}{4}=\dfrac{20+1}{4}=\dfrac{21}{4}[/tex]
[tex]-2\dfrac{1}{2}=-\dfrac{2\times2+1}{2}=-\dfrac{4+1}{2}=\dfrac{-5}{2}[/tex]
Now , put them in (i) , we get
[tex]\dfrac{21}{4}\div\dfrac{-5}{2}[/tex]
[tex]=\dfrac{21}{4}\times\dfrac{-2}{5}=\dfrac{-21}{10}=-\dfrac{20+1}{10}=-2\dfrac{1}{10}[/tex]
Hence, the required answer is [tex]-2\dfrac{1}{10}[/tex].
Work out the value of 6x^2 when x= -2
Lexi had planted seeds in 3/5 of the garden. She used 1/2 pound of seeds. How many pounds will she use for the entire garden?
Answer:
Lexi will use [tex]\frac{5}{6}[/tex] pounds of seeds.
Step-by-step explanation:
Lexi has planted seeds in [tex]\frac{3}{5}[/tex] of the garden. We know that to plant that part she used [tex]\frac{1}{2}[/tex] pound of seeds.
The entire garden is [tex]\frac{5}{5}=1[/tex].
Then if you multiply [tex]\frac{1}{2}[/tex] in [tex]\frac{5}{5}=1[/tex] and then divide the result in [tex]\frac{3}{5}[/tex] you will obtain how many pounds will she use for the entire garden. (It's a rule of three)
[tex](1).\frac{1}{2} :\frac{3}{5}=\frac{1}{2} :\frac{3}{5}=\frac{5}{2.3}=\frac{5}{6}[/tex]
Lexi will use [tex]\frac{5}{6}[/tex] pounds of seeds.
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from the problem m = 1/2
point slope =
y -2 = 1/2(x+8)
I have two dice, one red and one blue. when the two dice are rolled, the probability that the number showing on the red die is larger than the number showing on the blue die si
The first quartile of a data set is 2.5.
Which statement about the data values is true?
One fourth of the values are less than or equal to 2.5, and three fourths of the values are above 2.5.
Half of the values are less than or equal to 2.5, and half of the values are more than 2.5.
Three fourths of the values are less than or equal to 2.5, and one fourth of the values are above 2.5.
One fourth of the values are less than or equal to 2.5, and half of the values are above 2.5.
First statement is true.
One fourth of the values are less than or equal to 2.5, and three fourths of the values are above 2.5.
The first quartile (Q₁) is defined as the middle number between the smallest number (minimum) and the median of the data set. It is also known as the lower or 25th empirical quartile, as 25% of the data is below this point.The first quartile , is located such that 25 percent of the data lie below first quartile and 75 percent of the data lie above first quartile.Therefore, The first quartile of a data set is 2.5. this statement represent that One fourth of the values are less than or equal to 2.5, and three fourths of the values are above 2.5.
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Daisy is making an abstract painting with two triangles. The dimensions of the painting are shown below:
The total area of the two triangles is _____ square inches.
area is 8*10 = 80 ( Area of square formed by dotted line)
1/2 *4 * 10 = 20 (Area of small triangle formed by dotted line)
20 +80 = 100 square inches
Show all work to receive credit
What is m
Two pages that faces each other in a book have 333 as the sum of their page numbers what is the number of pages that come first
Carol earns $8.50 per hour plus 6% commission. She worked 40 hours last week. What is her salary if her total sales were $250
Find the volume of a rectangular prism with the following dimensions.
a length of 11 cm, a width of 4.2 cm, and a height of 7.1 cm
Answer:
441 cm
Step-by-step explanation:
Simplify the expression. –9z – 13z
A. 4z
B. 4
C. –22z
D. 22z
On a quiz, students were awarded a certain number of points for a correct answer and penalized a certain number of points for an incorrect answer. If a student answered all the questions on the quiz and had c correct answers, her score on the quiz was 25c – 10(15 – c). How many questions were on the quiz?
If a circle has a diameter whose endpoints are (-5, 8) and (5, -8), then the circle has its center at the origin. True False
Answer:true
Step-by-step explanation:
Jena and matt, working together, can mow the lawn in 44 hours. working alone, matt takes four times as long as jena. how long does it take jena to mow the lawn alone?