Which is the graph of 2x + 3y > -3?
Answer:
the third one
Step-by-step explanation:
Answer:
3rd
Step-by-step explanation:
The balcony of an apartment is 4 feet by 7 feet. On a scale drawing of the apartment, the balcony is 0. 8 inch by 1. 4 inches, and the kitchen is 2. 4 inches by 2. 8 inches. What are the actual dimensions of the kitchen? Enter your answers in the boxes. The actual dimensions of the kitchen are feet by feet.
Scale factor is the ratio of representation measurement of the figure to the original figures.
The actual dimensions of the kitchen is 12 ft by 14 ft.
What is scale factor?Scale factor is the factor which is used to enlarge or smaller the original figure.
Scale factor is the ratio of representation measurement of the figure to the original figures.
Given information-
Dimensions of the balcony of the apartment is 4 ft by 7 ft or 48 in by 84 in (multiplying it by 12 to convert in inches).
Dimensions of the balcony of the apartment is 0.8 ft by 1.4 in on the scale of drawing.
Dimensions of the kitchen is 2.4 inches by 2.8 inches on the scale of drawing.
The scale factor of the width of the balcony is the ratio of scale dimension of width and the actual dimension of the width . Thus,
[tex]r=\dfrac{0.8}{48} \\r=\dfrac{1}{60}[/tex]
The scale factor of the length of the balcony is the ratio of scale dimension of length and the actual dimension of the length . Thus,
[tex]r=\dfrac{1.4}{84} \\r=\dfrac{1}{60}[/tex]
Thus the scale factor of the length and width of the scale is same which is 1/60.
As the scale is same for the balcony and the kitchen. Thus the scale factor would also be same.
The scale factor of the width of the kitchen is the ratio of scale dimension of width and the actual dimension of the width .
Let the width of the kitchen is x in.Thus
[tex]\dfrac{1}{60}=\dfrac{2.4}{x} \\x=144\rm in[/tex]
Thus the width of the kitchen is 144 in or 12 ft.
The scale factor of the length of the kitchen is the ratio of scale dimension of length and the actual dimension of the length .
Let the length of the kitchen is y in. Thus
[tex]\dfrac{1}{60}=\dfrac{2.8}{y} \\y=168\rm in[/tex]
Thus the length of the kitchen is 168 in or 14 ft.
Hence, the actual dimensions of the kitchen is 12 ft by 14 ft.
Learn more about the scale factor here;
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I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT. Find m2C in the quadrilateral.
Answer:
m∠C = 107°
Step-by-step explanation:
there are 4 sides so we first need to find the total interior angle:
( 4 - 2 ) * 180 = 360°m∠C = 360° - 90° - 90° - 73°
= 107°
What does 25000(1-0.8)^8 equal
Answer:
0.064
Step-by-step explanation:
25000(1-0.8)^8
= 25000(0.2)^8
= 0.064
Answer:
Step-by-step explanation:
0.064
Luke buys a certain brand of cereal that costs $11 per box. Luke changes to a super-saving brand of the same size. The equation shows the price, y, as a function of the number of boxes, x, for the new brand.
y = 9x
Part A: How many more dollars is the price of a box of Luke's original brand of cereal than the price of a box of the super-saving brand? Show your work.
Part B: How much money does Luke save each month with the change in cereal brand if he buys 6 cereal boxes each month? Show your work. (10 points)
Answer:
See below.
Step-by-step explanation:
Part A
"y = 11x is the function for the original boxes that he bought...it was $11 per box.
y = 9x is the function for the super saving brand...it is $9 per box
so there is a $2 difference between the original and the super saver."
Part B
"original box.....6 cereals
y = 11(6)
y = 66
super saver....6 cereals
y = 9(6)
y = 54
66 - 54 = 12.....so Luke saves $12 per month by buying the super saver brand."
The answer is also here:
https://brainly.com/question/1572338
-hope it helps
Plss help me asap!!!
S is greater than or equal to 201 1/3
PLEASE HELP ASAP I DONT UNDERSTAND IT BUT PLEASE HELP
fabric squares Madison needs
= circumference of the mirror= 2πr
[tex]2 \times 3.14 \times 14 \\ = 87.96 = 88 cm[/tex]
Which terms complete the factorization of x2+27x+162 represented by the model?
27, 9x, 18x
9, 9x, 18x
27, 9x, 27x
9, 9x, 27x
Answer:
9, 9x, 18x
Step-by-step explanation:
Hence the B. I hope this helps love!
The terms that complete the factorization of x^2+27x+162 is represented by the model is 9, 9x, 18x
Factorization of functionsPolynomial are functions that has a degree of 3. Given the quadratic function expressed as:
x^2+27x+162
Factorize
x^2+27x+162
x^2+9x+18x+162
x(x+9)+18(x+9)
(x+18)(x+9)
Hence the terms that complete the factorization of x^2+27x+162 is represented by the model is 9, 9x, 18x
Learn more on factorization here: https://brainly.com/question/25829061
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help now, i will give brainliest.
Levi determined that y=2 is NOT a linear function because it does not take the form y=mx+b.
How would you explain why Levi's reasoning is incorrect?
Step-by-step explanation:
y=2 is just y = 0x + 2 so basically m=0 and b=2
The given line has a slope of 0 and y-intercept form and levi's reasoning is not correct.
What is the slope-intercept form of a line?The slope-intercept form of a line is represented by y=mx+c where m=slope and c is the y-intercept of the line
Given here: The line y=2
Now y=2 can be rewritten as y=0.x+2
which can be interpreted as a line with slope=0 or the line is parallel to x-axis and has its y-intercept at y=2
Thus the equation was rewritten in slope intercept form and thus is a linear equation.
Hence, The given line has a slope of 0 and y-intercept form and levi's reasoning is not correct.
Learn more about slope-intercept form here:
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A bicycle track forms a loop with a length of 3.2 miles. Trash cans are placed along the track every 0.2 mile. How many trash cans are placed a long track
Answer:
16
Step-by-step explanation:
Total length=3.2mile
Trashcans length=0.2mile
3.2 / 0.2 =16
evaluate each expression for the given value of the variable(s). 34+ 4/9w. w= -1/2 pls help
Answer:
33 7/9
Step-by-step explanation:
[tex]34 + \frac{4}{9}(\frac{-1}{2})[/tex] [tex]34 - \frac{4}{18}[/tex] [tex]34 - \frac{2}{9}[/tex] [tex]\frac{306}{9} - \frac{2}{9}[/tex] [tex]\frac{304}{9}[/tex] [tex]33\frac{7}{9}[/tex]Therefore, the answer is 33 7/9.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
Ava, Lucas, and Maria are playing a game where they pass a pull-back toy to one another in a path that forms a right triangle. Ava sends the toy to Lucas. Then, Lucas sends the toy to Maria. Finally, Maria sends it back to Ava. The angle formed at Lucas' position measures 90° and the angle formed at Ava's position measures 40°. The distance from Ava to Lucas is 12 feet.
Ava is trying to determine the other measures of the triangle created by the toy's path. Give each distance in feet rounded to the nearest tenths place.
The distance from Maria to Ava is ___ feet.
The distance from Lucas to Maria is ___ feet.
The angle formed at Maria's position measures ___ degrees.
Using relations in a right triangle, it is found that
The distance from Maria to Ava is 15.66 feet.The distance from Lucas to Maria is 10.07 feet.The angle formed at Maria's position measures 50 degrees.What are the relations in a right triangle?The relations in a right triangle are given as follows:
The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.In this problem, the situation is modeled by the graph given.
First, we have to remember that the sum of the internal angles of a triangle is of 180º, hence:
The angle formed at Maria's position measures 50 degrees.
Then, for the distance from Maria to Ava, which is the hypotenuse:
[tex]\sin{50^\circ} = \frac{12}{h}[/tex]
[tex]h = \frac{12}{\sin{50^\circ}}[/tex]
[tex]h = 15.66[/tex]
Hence:
The distance from Maria to Ava is 15.66 feet.
Finally, for the distance from Lucas to Maria:
[tex]\sin{40^{\circ}} = \frac{d}{15.66}[/tex]
[tex]d = 15.66\sin{40^{\circ}} = 10.07[/tex]
The distance from Lucas to Maria is 10.07 feet.
To learn more about relations in a right triangle, you can take a look at https://brainly.com/question/10467648
A wedding planner purchased both small and large lanterns for a wedding reception. The planner purchased a total of 40 lanterns for a purchase price of $1180. How many of each size lantern did the planner purchase?
Answer:
The wedding planner must have purchased 28 small lanterns and 12 large lanterns.
Step-by-step explanation:
Select the prime number
73, 74, 75, 76, 77
Answer:
75 is the prime number if I am correct
Please answer !!!!!!!!!!!!
Answer:
it will be 12 hope this helps
What is 5.16 divided by 0.6 (pls show work)
Answer:
8.6
Step-by-step explanation:
5.16 x 10 = 51.6 , 0.6 x 10 = 6, 6 divided by 51.6 = 8.6
Answer:
5.16 ÷ 0.6 = 8.6 Its easier in the algorithm way
what percent of 700 is 273
Please help and hurry 12 points
A bag of fruit weighs two point five kilograms. Write the weight in grams.
Answer: 2500 grams
Step-by-step explanation: 2.5 x 1000 = 2500
30 points please help!
Match the vocabulary to the proper definition.
1. sample space
a ratio representing the likelihood of an event
2. theoretical probability
the set of all possible outcomes for an experiment
3. uniform probability model
a probability model in which each of the outcomes in the sample space are equally likely, or have the same probability
Answer:
Step-by-step explanation:
1) Sample space - the set of all possible outcomes for an experiment
2) Theoretical probability - A ratio representing the likelihood of an event
3) Uniform probability model - A probability model in which each of the outcomes in the sample space are equally likely, or have the same probability
Hope it helps :))
Use percents to compare attendance at two concerts: 299 people attended the first concert, while 949 attended the second. pls helpppp
At the second concert, there were 217% more people than in the first concert.
What are percentages?
Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred. The sign used to represent percentages is %.
What is the comparison between the two concerts?Number of people who attended the second concert compared to the first concert = (949/299) - 1 x 100 = 217%
To learn more about percentages, please check: https://brainly.com/question/25764815
find the common difference for -31,-26,-21,-16
Answer:
The common differences is 5
Step-by-step explanation:
The difference is 5. Why? Because 5 is added to each term to arrive at the next term. so ... the difference a2 - a1 = 5.
E.g. -31 + 5 = -26
pls help ;-;
Solve for m∠B and m∠C in the parallelogram.
m∠B = ?°
m∠C = ?°
Answer:
m∠B = 121
m∠C = 59
Step-by-step explanation:
Angle B:
[tex](10x - 19) = (7x+23)\\10x+(- 19+19) = 7x+(23+19)\\10x=7x+42\\(10x-7x) = (7x-7x)+42\\3x = 42\\3x/3 = 42/3\\x = 14[/tex]
10(14)-19 = 140-19 = 121
Angle C:
(121)2 = 242
360-242 = 118
118/2 = 59
Answer:
121° and 59°Step-by-step explanation:
Opposite angles of the parallelogram are congruent:
m∠B = m∠D10x - 19 = 7x + 2310x - 7x = 23 + 193x = 42x = 14Find the angle B:
m∠B = 10*14 - 19 = 121°Adjacent angles of the parallelogram are supplementary:
m∠B + m∠C = 180°121° + m∠C = 180°m∠C = 180° - 121°m∠C = 59°√(-√(3)+√(3+8√(7+4√(3))))
[tex]\sqrt{ - \sqrt{3} + \sqrt{3 + 8 \sqrt{7 + 4 \sqrt{3} } } } \\ [/tex]
Step-by-step explanation:
Given that: √[-√(3)+√{3+8√(7+4√(3))}]
= √[-√(3) + √{3+8√((√3)² + √(4)² + 2√(4*3))}]
= √[-√(3) + √{3 + 8√(√(3) + √(4))²}] [Since, {√(a) + √(b)}² = a+b + 2√(ab)]
= √[-√(3) + √{3 + 8√(√(3) + √(4))²}]
= √[-√(3) + √{3 + 8(√(3) + √(4))}]
= √[-√(3) + √{3 + 8(√(3) + √(2*2))}]
= √[-√(3) + √{3 + 8(√(3) + 2)}]
= √[-√(3) + √{3 + 16 + 8√(3)}]
= √[-√(3) + √{19 + 8√(3)}]
= √[-√(3) + √{16 + 3 + 2√(3*16)}]
= √[-√(3) + √{(16)² + (3)² + 2√(3*16)}]
= √[-√(3) + √{√(16)² + √(3)²}] [Since, {√(a) + √(b)}² = a+b + 2√(ab)]
= √{-√(3) + √(16) + √(3)}
= √{-√(3) + √(4*4) + √(3)}
= √{-√(3) + 4 + √(3)}
Now, cancel -√3 and +√3.
= √(4)
= √(2*2)
= 2
Answer: Hence, the simplified form of √[-√(3)+√{3+8√(7+4√(3))}] = 2.
Please let me know if you have any other questions.
Dustin and Janelle sold packs of trading cards to earn extra money before summer break. They sold each box for $51 which included 6 packs of cards. Dustin sold n packs of trading cards, and Janelle sold 4 fewer packs than Dustin. They collected a combined total of $442. The following equation represents the given situation. 442 - How many packs of trading cards did Dustin sell? Dustin sold packs of trading cards.
Answer:
Dustin sold 28 packs
Step-by-step explanation:
Apple Green paint is made by mixing
7 parts yellow to 3 parts blue. How
much yellow should be mixed with
9 pints of blue?
Answer:
21 pints
Step-by-step explanation:
In the paint, the ratio of yellow to blue is 7:3
7:3
x : 9
To find maintain the equivalent ratio and find x, we multiplied both sides of 7:3 by 3
21 : 9
The answer should be 21 pints
Hope this helps :)
Have an awesome day!
What is the minimum of the sinusoidal function?
Enter your answer in the box.
Answer:
The minimum is y=-5. The max would be y=1
Step-by-step explanation:
because y=5 and the max would be y=1
Answer:
its -4
Step-by-step explanation:
i took the test :)
solve, showing all work. state if there is one solution, no solution, or infinite solutions 2(2b-4)+5=7+2b help asap i need the answer
Answer:
one solution
Step-by-step explanation:
2(2b-4)+5=7+2b
4b - 8 + 5 = 7 + 2b
4b -3 = 7 + 2b
4b - 2b = 7 + 3
2b = 10
b = 10/2
b = 5.
it can have only 5 as solution that will be only one solution if we change the value of 5 to other number then the answer will be wrong
when is the equation logaa^k=k true
That is, log x = k if and only if 10 k = x.
