50!!! Points Paul needs 27 plants to fill his garden and has $99 to
spend. Lilies cost $5 each and tulips cost $2 each. Which
system represents the number of lilies (1) and tulips (t)
Paul can buy?
Answers
[tex]\boxed{\boxed{\pink{\bf \leadsto Option \ A \ is \ correct .}}}[/tex]
Step-by-step explanation:Given that , Paul needs 27 plants to fill his garden and has $99 to spend. Lilies cost $5 each and tulips cost $2 each.
Tulips are represented by t .Lilies are represented by l .Now we need to find which set of linear equations represent the above situation. So ,
Sum of number of lilies and tulips is 27 .
[tex]\implies \bf n( Tulips) + n(Lilies ) = 27 \\\\\bf\implies \boxed{ \bf l + t = 27 }[/tex]
Now , cost of each lily is $5 and tulip is $2 . And he has $99 in total . So ,
[tex]\bf\implies n_{tulips} \times cost_{tulip} + n_{lilies} \times cost_{lilies} = Money \ that \ Paul \ has. \\\\\bf \implies t\times \$2 + l \times \$5 = \$ 99 \\\\\implies \boxed{\bf 2t + 5l =\$ 99 }[/tex]
Hence we can see that our ans matches with option (a) which is ,
[tex]\red{\bf Option \ A}\begin{cases} \bf l + t = 27 \\\\\bf 2t + 5l = 99 \end{cases}[/tex]
Hence option (A) is correct .Related Questions
Figure ABCD is a kite. Find the
value of x.
Answers
Answer:
x=5
Step-by-step explanation:
in order for this figure to truly be a kite, AD and AB have to be equal.
So:
4x=x+15
now we must solve the equation:
3x=15
x=5
The value of x for the expression of the sides will be x=5.
What is geometry?Geometry is one of the oldest branches of mathematics, along with arithmetic. It is concerned with spatial properties such as figure distance, shape, size, and relative position.
Given that the sides of the given shape of the kites are AB = 4x and AD = x +15. Since the sides are equal the value of x will be calculated as,
In order for this figure to truly be a kite, AD and AB have to be equal.
4x=x+15
Now we must solve the equation:
3x=15
x=5
Hence, the value of x will be 5.
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b. A car factory makes 2 red cars for every
7 white cars. If it makes 483 white cars,
how many red cars did it make?
HELP ME
Answers
Divide the number of white cars made by it's ratio:
483/7 = 69
Multiply that by the ratio of red cars:
69 x 2 = 138
They made 138 red cars.
PLEASE HELP, I WILL GIVE BRAINLIEST IF ITS RIGHT :)
(03.03 MC)
The table below represents a linear function f(x) and the equation represents a function g(x):
x f(x)
−1 −3
0 0
1 3
g(x)
g(x) = 7x + 2
Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)
Part B: Which function has a greater y-intercept? Justify your answer. (4 points)
(10 points)
2.
(03.05 HC)
The table below represents the distance of a train from its destination as a function of time:
Time
(hours)
x Distance
(miles)
y
0 665
1 570
2 475
3 380
4 285
Part A: What is the y-intercept of the function, and what does this tell you about the train? (4 points)
Part B: Calculate the average rate of change of the function represented by the table between x = 1 to x = 4 hours, and tell what the average rate represents. (4 points)
Part C: What would be the domain of the function if the train continued to travel at this rate until it reached its destination? (2 points)
(10 points)
3.
(03.06 MC)
Part A: Billy rented a canoe at $14 for 2 hours. If he rents the same canoe for 5 hours, he has to pay a total rent of $29.
Write an equation in the standard form to represent the total rent (y) that Billy has to pay for renting the canoe for x hours. (4 points)
Part B: Write the equation obtained in Part A using function notation. (2 points)
Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals. (4 points)
(10 points)
Answers
9514 1404 393
Answer:
(a) Function f is a proportion, so its slope is y/x = 3. The slope of function g is the x-coefficient, 7. The slope of function g is greater. (b) A proportion has a y-intercept of 0; function g has a y-intercept of 2. The y-intercept of function g is greater.(a) The y-intercept is 665, the initial distance to destination. (b) The train's distance to destination is decreasing at 95 miles per hour. (c) The useful domain of the relation is 0 ≤ x ≤ 7.(a) Standard form equation: 5x -y = -4. (We expect that "slope-intercept" form is desired: y=5x+4.) (b) f(x) = 5x +4. (c) The line can be graphed by starting at the y-intercept (0, 4) and drawing a line with slope 5. Axes will be labeled "Rental Time (hours)" (horizontal) and "Rental Cost (dollars)" (vertical). Axes can be numbered in units appropriate to the size of the graph.Step-by-step explanation:
1. (a) The table contains the point (0, 0), and is said to represent a linear function. Consequently, we know that function f is a proportion. Its slope is ...
y/x = 3/1 = 3.
The slope of function g is the x-coefficient, 7. Since 7 > 3, the slope of function g is greater.
(b) As we said, function f has a y-intercept of 0. The y-intercept of function g is the constant in its equation, 2. Since 2 > 0, the y-intercept of function g is greater.
__
2. (a) The y-intercept is the value when x=0, which is 665. That is the train's initial distance to destination.
(b) The average rate of change from x = 1 to x = 4 is ...
m = (285 -570)/(4 -1) = -285/3 = -95 . . . . miles per hour
The train's distance to destination is decreasing at 95 miles per hour.
(c) From part B, we know the train covers 285 miles in 3 hours, so the time to destination will be 3 hours more than 4 hours. (Distance is 285 miles at 4 hours.) The useful domain of the relation is 0 ≤ x ≤ 7.
__
3. We can write the standard form equation using the relation ...
(y2 -y1)(x -x1) -(x2 -x1)(y -y1) = 0
(29 -14)(x -2) -(5 -2)(y -14) = 0 . . . . . fill in the given points: (2, 14), (5, 29)
15x -30 -3y +42 = 0 . . . . simpify
5x -y = -4 . . . . . divide by 3 and subtract 4
(We wonder if "slope-intercept" form is desired: y=5x+4.)
(b) The above equation can be solved for y (by adding y+4), and "y" replaced by "f(x)". The result is the "functional form" ...
f(x) = 5x +4
(c) The line can be graphed by starting at the y-intercept (0, 4) and drawing a line with slope 5.
Axes will be labeled "Rental Time (hours)" (horizontal) and "Rental Cost (dollars)" (vertical).
Axes can be numbered in units appropriate to the size of the graph. (That will depend on the graph paper or tool used to create the graph.) An example of a graph is attached.
Which ratio is equivalent to the ratio 13:15
Answers
Answer:
26:30
Step-by-step explanation:
9-x^2 factorize the expression
Answers
Answer:
Step-by-step explanation:
(3-x)(3+x)
x^2-a^2 = (x-a)(x+a)
Eduardo won 40 pieces of gum playing hoops at the county fair. At school he gave one to every student in his math class. He only has 13 remaining. How many did he give away?
Answers
Q14)
Points A, B and C lie on the circumference of a circle and DE is the
tangent to the circle at A. Angle DAB = 79º and angle EAC = 37º.
2
Find the sizes of angles x and y.
Not to scale
Give a reason for your answers.
B
7
[Total 3
790
1370
E
A
Answers
Answer:
x = 37
y = 79
Step-by-step explanation:
Remark
We are going to go through an extensive discussion of the value of x. The value for y is found exactly the same way.
Top diagram.
The top diagram establishes the fact that if any two points are on the major arc of the circle whose center is 0, then the vertex of the of the two angles so formed are equal. The end points of these two angles must be established by the endpoints of the chord A and B.
Put in much simpler language.
<ACB = <AC'B
The end points of the angles are A and B of the Chord AB.
The Vertex of the angles are both on the major arc of the circle. These two are C and C'
Bottom Diagram
The idea here is to find the value of C. If we do that, then we know what x is in the diagram you provided.
Draw diameter COA Construction
< CAB = 90 Any vertex (C) on circumference with diameter endpoints (A & C) = 90
<CAT_1 = 90 A diameter always meets a tangent at 90o
<BAT_1 = 37 Given
<CAB = 90-37 <CAB and <BAT_1 are complementary
<ACB = 37 A right triangle's acute angles are complementary.
<ACB = x = 37o See top diagram
micah was giving $200 for his birthday each week he spends 15$ on comic book. in how many weeks will his birthday money be gone?
Answers
Micahs money will be gone within about 13 weeks. He will, however, still have $5 left over.
How many solutions does the system of equations below have?
x − 4y = 6
2x − 8y = 12
Answers
Answer:
One solution
Step-by-step explanation:
x - 4y = 6
-4y = 6 - x
-4y/-4 = 6/-4 -x/-4
y = -6/4 + -x/4
2x − 8y = 12
-8y = 12 - 2x
-8y/-8 = 12/-8 - 2x/-8
y = -12/8 + 2x/8
Graph "y = -6/4 + -x/4" and "y = -12/8 + 2x/8" to find how many solutions these lines have.
As shown below, it has only one solution.
ill give you brilliant
One mile is about 1.57 kilometers. If you are traveling at 55 miles per hour, what is the best estimate of your speed in kilometers per hour? A. between 50 and 60 kilometers per hour B. between 60 and 70 kilometers per hour C. between 70 and 80 kilometers per hour D. between 80 and 90 kilometers per hour
Answers
Explanation: All you have to do is multiply 1.57 x 55 (which equals 85.35). Not to be mean but all you have to do is read the answer carefully :)
why?
when you convert the speed from miles per hour to kilometers per hour we see it is equal to around 85 kilometers. this number falls right between the last options range of 80-90 km per hour
Hope this helped!!
If 4 quarts of organic grapes cost $20 how many quarts can you purchase for one dollar
Answers
Answer:
4/5 of a quart
Step-by-step explanation:
Set this up as a proportion. First of all we know that 4 quarts of organic grapes cost $20, so 4x = 20. Divide and you get that x = 5 meaning 1 quart equals 5 dollars. Now if we scale this down a bit and divide by 5, we end up with 4/5 of a quart = 1$.
Hope this helped (:
The mean monthly gasoline bill for one household is greater than $120. If a hypothesis test is performed, how should you interpret a decision that reject the null hypothesis
Answers
Answer:
Following are the solution to this question:
Step-by-step explanation:
In the equation for the given question, for enough evidence to substantiate the assertion:
[tex]\mu > \ \$ \ 120[/tex]
What is the following quotient?
Answers
Answer: Choice C) [tex]2-\sqrt{3}-2\sqrt{2}+\sqrt{6}\\\\\\[/tex]
====================================
Work Shown:
Part 1
[tex]\frac{2-\sqrt{8}}{4+\sqrt{12}}\\\\\\\frac{(2-\sqrt{8})(4-\sqrt{12})}{(4+\sqrt{12})(4-\sqrt{12})}\\\\\\\frac{2(4-\sqrt{12})-\sqrt{8}(4-\sqrt{12})}{(4)^2-(\sqrt{12})^2}\\\\\\\frac{8-2\sqrt{12}-4\sqrt{8}+\sqrt{8}*\sqrt{12}}{16-12}\\\\\\\frac{8-2\sqrt{12}-4\sqrt{8}+\sqrt{8*12}}{4}\\\\\\[/tex]
Part 2
[tex]\frac{8-2\sqrt{12}-4\sqrt{8}+\sqrt{96}}{4}\\\\\\\frac{8-2\sqrt{4*3}-4\sqrt{4*2}+\sqrt{16*6}}{4}\\\\\\\frac{8-2\sqrt{4}*\sqrt{3}-4\sqrt{4}*\sqrt{2}+\sqrt{16}*\sqrt{6}}{4}\\\\\\\frac{8-2*2*\sqrt{3}-4*2*\sqrt{2}+4*\sqrt{6}}{4}\\\\\\\frac{8-4*\sqrt{3}-8*\sqrt{2}+4*\sqrt{6}}{4}\\\\\\[/tex]
Part 3
[tex]\frac{8-4*\sqrt{3}-8*\sqrt{2}+4*\sqrt{6}}{4}\\\\\\\frac{4*2-4*1*\sqrt{3}-4*2*\sqrt{2}+4*\sqrt{6}}{4}\\\\\\\frac{4(2-\sqrt{3}-2\sqrt{2}+\sqrt{6})}{4}\\\\\\2-\sqrt{3}-2\sqrt{2}+\sqrt{6}\\\\\\[/tex]
This shows the answer is choice C.
----------------------------------------------
Explanation:
There are a lot of steps, so I broke things up into 3 sections or parts. The idea I'm applying is if the denominator is of the form [tex]a+\sqrt{b}[/tex], then multiplying top and bottom by [tex]a-\sqrt{b}[/tex] will rationalize the denominator. This is due to the difference of squares rule (step 3 of part 1). The following step shows squaring a square root has the two cancel out.
From that point, I simplified each square root and factored to cancel out a pair of '4's.
To expand out [tex](2-\sqrt{8})(4-\sqrt{12})[/tex], we can use either the FOIL method, the box method, or the distribution property. I used the distribution property.
need the answer please thank you!
Answers
Answer:
Step-by-step explanation:
The total number of marbles is 17
Red
6/17 is the answer. As a decimal, that's .3529
Green
11/17 is the answer. As a decimal that's .6471
Purple
Since there are no purples, the answer is 0
Red or Green
This one is a little tricky.
What else is there besides red or green? Nothing. You have to choose 1 or the other.
The answer is 1.
Mr. Wells tells his class of 24 that when they have completed the assignment, they may play online math games. At the end of class, 40% of the class is playing online math games. Approximately how many students still need to complete their assignment?
Answers
Answer:
14
Step-by-step explanation:
60% of 24 need to complete their tasks
this is 6x2.4=12+1.6=13.6 =14
Alecia earned 48 points on the first quiz and 45 points on the second quiz. What's the percent decrease in her quiz score ?
Answers
Answer:
is the 48 and 45 points out of 100?
Answer:
93%is the answer to this question its 93% percent (tell me if its wrong)
please help with this question i have 1 hour to finish this test
Answers
Answer:
29
Step-by-step explanation:
2x - 14 = x + 15
2x - x = 15 + 14
x = 29
check
44 = 44
Answer:
pretty sure it's 29
Step-by-step explanation:
equation: 2x-14=x+15
how to solve: add 14 to both side, and subtract x from both sides. The equation will then be x=29.
I might be wrong tho.
plz help me i beg of u?
Answers
For a summer reading program, you are asked to read 3 books from a list of 8 book. how many different groups of 3 books can you read?
Answers
You can read 2 groups of three books.
Step-by-step expression-
3 times 3 is 9. Since 9 is bigger than 8, you multiply 3 by 2. 3 times 2 is 6. Therefore, you can only read 2 groups of 3 books. Happy studying :))
A brainliest will be rewarded to the best answer!
Which expression has a value of 11?
A. 13 - 5 - 3
B. 1 + (8 x 2)
C. 5 + 2 x (4 - 1)
D. 15 - 1 + (6 ÷ 2)
Answers
Answer:
C. 5 + 2 x (4 - 1)
Step-by-step explanation:
5 + 2 x (4 - 1)
*following order of operations*
5 + 2 * 3
5 + 6
= 11
Which pair of functions are inverses of each other?  A. f(x) = \sqrt[3]{{6x}}f(x)= 3 6x and g(x) = {\left( {\frac{x}{6}} \right)^3}g(x)=( 6 x ) 3  B. f(x) = 10x – 5 and g(x) = \frac{{x + 5}}{{10}}g(x)= 10 x+5 C. f(x) = \frac{4}{x} - 3f(x)= x 4 −3 and g(x) = \frac{{x + 3}}{4}g(x)= 4 x+3 D. f(x) = \frac{x}{8} + 3f(x)= 8 x +3 and g(x) = 8x – 3
Answers
Answer:
the answer is B
Step-by-step explanation:
whats 4 x 1/8 in simplest form
Answers
Answer:
The simplest form of 48 is 12.
Step-by-step explanation:
hope that helps :)
The simplest form of the expression 4 x 1/8 will be 1 / 2.
What is an expression?In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.
Given that there are two numbers 4 and 1 / 8 multiplied by each other.
The solution of the expression 4 x 1/8 will be:-
E = 4 x ( 1 / 8 )
E = 4 / 8
E = 1 / 2
Therefore, the simplest form of the expression 4 x 1/8 will be 1 / 2.
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Higher Order Thinking Raul wants to put wood shavings in his rabbit’s cage. The floor of the cage measures 1 yard wide by 5 feet long. One bag of shavings covers 10 square feet.
How many bags will Raul have to buy to cover the floor of the cage? Explain
Answers
Answer:
2
Step-by-step explanation:
3x5=15
A _____ equation is an equation whose graph is a straight line. answer for me please! worth 15 points!!!
Answers
Answer:
Linear function
Step-by-step explanation:
There are six multiple-choice questions on an exam, each with four possible answers. (a) Determine the number of possible answer sequences for the six questions.
Answers
Answer:
[tex]Possible\ Answers = 4096[/tex]
Step-by-step explanation:
Given
[tex]Questions = 6[/tex]
[tex]Options = 4[/tex] each
Required
Determine the number of possible answers
The first question has 4 possible answers
The second has 4 possible answers
The third has 4 possible answers
The fourth question has 4 possible answers
The fifth has 4 possible answers
The sixth question has 4 possible answers
[tex]Possible\ Answers = 4 * 4 * 4 * 4 * 4 * 4[/tex]
[tex]Possible\ Answers = 4^6[/tex]
[tex]Possible\ Answers = 4096[/tex]
no trolls i need help asap please!!!
Answers
Answer:
These triangles cannot be proven congruent
Step-by-step explanation:
The 3 angles in ∆FGH are congruent to the 3 corresponding angles on ∆ABC.
These mean that the two triangles have the same shape and we can conclude that they are similar to each other.
However, knowing just the 3 angles is not enough to prove that both triangles are congruent to each other. This is because, for two triangles to be congruent to each other, all 3 angles and 3 sides of one triangle must be congruent to the corresponding 3 angles and 3 sides of the other. That is, they have the same shape and size.
Therefore, the triangles given above cannot be proven congruent.
Select all the expressions which are equivalent to three times the sum of six and five.
A. 3 × 6 + 5
B. 3(6 + 5)
C. 3 × 5 + 6
D. (6 + 5) + (6 + 5) + (6 + 5)
E. 3 + (5 × 6)
Answers
Answer:
Step-by-step explanation:
T
Answer:
D. (6+5)+(6+5)+6+5)
Step-by-step explanation:
i am. sure that D. is answer because it is repited three. times
please helloppppppppp
Answers
90°+32°=X ( exterior < of a ∆)
90°+32°=X ( exterior < of a ∆) 122°=X
90°+32°=X ( exterior < of a ∆) 122°=XTherefore, X= 122°
Helppppppppppppppppppppppppppppppp
Answers
Answer:
Number.2 is correct you can write it
What number makes the equation true? Enter the answer in the box. 4= 36 - N
Answers
Answer:
as i see
the answer is 32.....