Jonathan bought a table and some chairs and a furniture store. The equation that models the situation is Y equals 25X +80, where why is the amount of money he spends and X is the number of chairs he bought. What does the Y intercept mean in the situation?
Answers
Answer:
Step-by-step explanation:
The equation modeling the situation is ;
y = 25x + 80
We want to know what the y-intercept mean in this question
Mathematically, the equation of a straight line is ;
y = mx + c
where c is the y intercept and m is the slope
What we should understand is that at the y intercept which is 80 here, the value of x is 0
Now since y means the amount of money spent and x is number of chairs bought, the value 80 means that the amount spent when he bought 0 number of chairs is 80
Now going by the question, since he bought 0 chairs here and we still have some cost, definitely he spent the money on other things which of course might be the amount spent in purchasing some tables
Related Questions
Here is a list of ingredients that
serves 4 people:
Bacon 50 g
Minced beef 450 g
Chopped tomatoes 400 g
Button mushrooms 100 g
Beef stock 125 ml
Marco is making a meal for 14 people using these ingredients.
Work out the number of grams of minced beef he needs.
Answers
Answer: 1575 grams or 1.575 kgs
Step-by-step explanation:
For 4 people = 450 g of minced beef
For 14 people,
(14 * 450) / 4 = 1575 gms
WHOEVER IS THE FIRST ANSWER I'LL MARK THE BRAINIEST ANSWER!!!
Find the arc length of the partial circle.
Either enter an exact answer in terms of
π
πpi or use
3.14
3.143, point, 14 for
π
πpi and enter your answer as a decimal.
Answers
Answer:
4π
Step-by-step explanation:
find the circumference first
2π r
2π 8=16π
then find the arc length
16π * 1/4
4π
Which choice is equivalent to the fraction below when x is an appropriate value? Hint: Rationalize the denominator and simplify. 5/5+√10x
Answers
Answer:
The equivalent fraction is: [tex]\frac{5-\sqrt{10x} }{5-2x} }[/tex]
which agrees with the second answer in the list of options
Step-by-step explanation:
Recall that in order to rationalize a denominator of this type (remove the square roots), we need to multiply numerator and denominator of the fraction we have by the conjugate of the binomial. That is, multiply top and bottom of the fraction by the expression:
[tex]5-\sqrt{10\,x}[/tex]
Therefore we have:
[tex]\frac{5}{5+\sqrt{10\,x} } =\frac{5\,(5-\sqrt{10x} )}{(5+\sqrt{10\,x})\,(5-\sqrt{10x})} =\frac{5\,(5-\sqrt{10x} )}{(25-10x)} }=\frac{5\,(5-\sqrt{10x} )}{5\,(5-2x)} }=\frac{5-\sqrt{10x} }{5-2x} }[/tex]
Then this is the equivalent rationalized expression:
[tex]\frac{5-\sqrt{10x} }{5-2x} }[/tex]
Answer:
B.
Step-by-step explanation:
A P E X
The temperature falls from 0 degrees to Negative 12 and one-fourth degrees in 3 and one-half hours. Which expression finds the change in temperature per hour?
Answers
Answer:
The expression used to find the change in temperature per hour is Algebraic expression
Thus per hour; the temperature falls at the rate of [tex]- 3\dfrac{1}{2}^0[/tex]
Step-by-step explanation:
A temperature falls from 0 to [tex]- 12\dfrac{1}{4}[/tex] in [tex]3\dfrac{1}{2} \ hours[/tex]
Which expression finds the change in temperature per hour.
From the above given information;
The initial temperature is 0
The final temperature is [tex]- 12\dfrac{1}{4}[/tex]
The change in temperature is [tex]\Delta T = T_2 - T_1[/tex]
[tex]\Delta T = -12\dfrac{1}{4} -0[/tex]
[tex]\Delta T = -12.25[/tex]
Thus;
-12.25 ° = 3.5 hours
To find the change in x° per hour; we have;
x° = 1 hour
The expression used to find the change in temperature per hour is Algebraic expression
From above if we cross multiply ; we have;
(- 12.25° × 1 hour) = (x° × 3.5 hour)
Divide both sides by 3.5 hours; we have:
[tex]\dfrac{-12.25^0*1 }{3.5}=\dfrac{ x^0 *3.5}{3.5}[/tex]
x° = - 3.5
x° = [tex]- 3\dfrac{1}{2}[/tex]
Thus per hour; the temperature falls at the rate of [tex]- 3\dfrac{1}{2}^0[/tex]
Answer:
Negative StartFraction 7 over 2 EndFraction times StartFraction 49 over 4 EndFraction
Step-by-step explanation:
A
Can someone please help me this is my third time posting!!!!!
Answers
This is a example since there is no topic:
Explanatory variable: Could be found on the x axis
Response variable: Could be found on the y axis
Four things need to talk about when you describe a scatter plot:
D. Direction
O. Outliers
F. Form
S. Strength
Example: The relationship between this graph is strong, positive and linear relationship. There does not appear not be outlines.
How to know if its positive: As the x axis increases so does y axis increases too.
How to know if the chart is linear:
Because it describe the scatter plot. DOFS.
Tell me if you need more help with a pacific thing.
Hope this helps.
tom paid $16 for 6 audio cassettes. Which proportion can be used to find the amount of money (m) he would pay for 9 audio cassettes
Answers
Answer:
Step-by-step explanation:
From the question, Tom paid $16 for 6 audio cassettes and we are told to find the proportion to get the amount of money (m) he would pay for 9 audio cassettes. To get this, we have to know the amount of the cost of 1 audio cassette. Since Tom paid $16 for 6 audio cassettes, 1 audio cassette will cost:
= $16/6
= $2.67
1 audio cassette will cost $2.67
The amount of money spent will depend on the number of audio cassettes. Therefore,
m = $2.67 × n
m = $2.67n
where n = number of audio cassette
The amount of money he'll pay for 9 cassette will be:
m = $2.67n
m = $2.67 × 9
m = $24.03
What is the following product?
Answers
Answer & Step-by-step explanation:
(5√2 - 4√3)(5√2 - 4√3)
We can rewrite this equation into a more simpler form.
(5√2 - 4√3)²
Now, we multiply. When multiplying, its important we multiply each term instead of combining them together.
When you multiply a radical by itself, then the base number will be by itself as the product.
So......
(5)² = 25
(4)² = 16
(√2)² = 2
(√3)² = 3
So, now the equation looks like this..
(25 * 2) + (16 * 3)
Multiply the terms.
50 + 48
Add the numbers.
50 + 48 = 98
So, your answer will be answer choice D. The radical in choice D represents the radicals that are in the problem multiplied together.
¿que es la trigonometria?
Answers
Answer:
I don't speak Spanish but I know what your asking. Trigonometry is a thing in physics.
Step-by-step explanation:
How many ways can you select 2 pieces of fruits from a basket of 8 pieces?
Answers
Answer: 56
Step-by-step explanation:
There are 8 pieces of fruit to choose from.
When you choose the next piece, there are only 7 pieces remaining to choose from.
First pick and Second pick
8 x 7 remaining = 56
Rewrite the expression 24x - 12 using the distributive property
Answers
Answer:
12(2x-1)
Step-by-step explanation:
24x - 12
Factor out a 12 from each term
12*2x -12*1
12(2x-1)
Answer:
[tex]12(2x - 1)[/tex]
Step-by-step explanation:
[tex]24x - 12[/tex]
Factor out a 12 from each
[tex]24x - 12 \\ 12(2x - 1)[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Please help! Correct answer only!
In a raffle, one ticket out of 200 will win a $980 prize, one ticket will win a $950 prize, one ticket will win a $270 prize, and one ticket will win a $260 prize. The remaining tickets will win nothing. If you have a ticket, what is the expected payoff?
Answers
Answer:
" Expected Payoff " - $ 12.30
Step-by-step explanation:
Consider the steps below;
[tex]Total Number of Tickets - 200 Tickets,\\Tickets Entered - 1 Ticket,\\\\Proportion - 1 / 200\\\\Amount Won ( First ) = 980 Dollars,\\Amount Won ( Second ) = 950 Dollars,\\Amount Won ( Third ) = 270 Dollars,\\Amount Won ( Fourth ) = 260 Dollars\\\\Proportionality ( First ) - 1 / 200 = x / 980,\\Proportionality ( Second ) - 1 / 200 = x / 950,\\Proportionality ( Third ) - 1 / 200 = x / 270,\\Proportionality ( Fourth ) - 1 / 200 = x / 260,\\\\1 / 200 = x / 980,\\200 * x = 980,\\x = 4.90,\\\\[/tex]
[tex]1 / 200 = x / 950,\\200 * x = 950,\\x = 4.75,\\\\1 / 200 = x / 270,\\200 * x = 270,\\x = 1.35,\\\\1 / 200 = x / 260,\\200 * x = 260,\\x = 1.3[/tex]
[tex]Conclusion ; " Expected Payoff " = 4.90 + 4.75 + 1.35 + 1.3 = 12.30[/tex]
Please help guys please
Answers
Answer: The answer is A
Step-by-step explanation:
B oranges cost 60c. How much will 7 oranges cost
Answers
Answer: 53 c
Step-by-step explanation:
If 8 oranges cost 60c
7 oranges will cost (7 x 0.60) / 8 = 0.53
I NEEED HEEELLLPP
Which sequence of transformations could be used to map quadrilateral RSTU onto R"S"T"U"?
T(−1, −3) ° ry−axis
T(−3, −1) ° ry−axis
T(−1, 3) ° R0,180°
T(3, −1) ° R0,180°
Answers
Answer:
c) T(−1, 3) ° Rotation,180°
Step-by-step explanation:
Explanation:-
First we will apply transformation is
Rotation of 180° then we will apply transformation is changes
(x,y) to (-x ,-y)
a)
Given vertex T( 2 ,2 )
T( 2 ,2 )→ T( -2 ,-2)
Next we will apply rule
Horizontal translation left '1' units and Vertical translation up 'd' units
T( -2 ,-2) → T¹ ( -2 -1 ,-2 +3)
The new vertex is T¹ ( -3 ,1)
b)
Given vertex U( 4 ,2 )
U( 4 ,2 )→ U( -4 ,-2)
Next we will apply rule
Horizontal translation left '1' units and Vertical translation up 'd' units
U -4 ,-2) → U¹ ( -4 -1 ,-2 +3)
The new vertex is U¹ ( -5 ,1)
c)
Given vertex R( 3 ,5 )
R( 3 ,5 )→ R( -3,-5)
Next we will apply rule
Horizontal translation left '1' units and Vertical translation up 'd' units
R( -3 ,-5) → R¹ ( -3 -1 ,-5 +3)
The new vertex is R¹ ( -4 ,-2)
d)
Given vertex S( 1 ,3 )
S( 1 ,3 )→ S( -1 ,-3)
Next we will apply rule
Horizontal translation left '1' units and Vertical translation up 'd' units
S( -1,-3) → S¹ ( -1 -1 ,-3 +3)
The new vertex is S¹ ( -2,0)
Priya is hosting a poetry club meeting this week and plans to have fruit punch and cheese for the meeting. She is preparing 8 ounces of fruit punch per person and 2 ounces of cheese per person. Including herself, there are 12 people in the club. A package of cheese contains 16 ounces and costs $3.99. A one-gallon jug of fruit punch contains 128 ounces and costs $2.50. Let represent number of people in the club, represent the ounces of fruit punch, represent the ounces of cheese, and represent Priya's budget in dollars. Select all of the equations that could represent the quantities and constraints in this situation.
Answers
Answer:
i) Number of people in club = 12
ii) 96 ounces of fruit punch for 12people
iii) 24 ounces of cheese for 12 people
iv) Priya's budget for poetry club meeting in dollars = $7.87
Step-by-step explanation:
We are not given the options for the equations that could represent the quantities and constraints in this situation. We can tell we are to represent the information given above.
Number of people in the club = 12
8 ounces of fruit punch per person
For 12 people = 12×8 = 96 ounces of fruit punch
2 ounces of cheese per person
For 12 people = 12×2 = 24 ounces of cheese
A package of cheese = 16 ounces
The costs for 1package = $3.99
The costs for 16 ounces of cheese = $3.99
The cost for 24 ounces of cheese = (24×3.99)/16 = 5.985
The cost for 24 ounces of cheese = $5.99
One-gallon jug of fruit punch = 128 ounces
The cost of One-gallon jug of fruit punch = $2.50
The costs of 128 ounces of fruit punch = $2.50
The costs for 96 ounces of fruit punch = (96×2.5)/128 = 1.875
The costs for 96 ounces of fruit punch = $1.88
Priya's budget for poetry club meeting in dollars = $5.99 + $1.88 = $7.87
Cost per item for x number of people:
y = x(2.5/128) + x (3.99/16)
y = x(0.0195) + x(0.2494)
Cost equation for Priya's budget:
y = 96x(2.5/128) + 24x (3.99/16)
y = 96x(0.0195) + 24x(0.2494)
Since the total number of people to attend the meeting is 12, the constraint = 0≤x≤12
As an estimation 5 miles is 8km. convert 12.5 miles to km
Answers
Answer:
5 x 2.5 = 12.5
8 x 2.5 = 20
answer: 28
Answer:5 x 2.5 = 12.5
8 x 2.5 = 20
Step-by-step explanation:mark me as brainest plsssssssssssssssssss
Yun wants to build a one-sample z interval with 82%, percent confidence to estimate what proportion of users will click an advertisement that appears on his website. He takes a random sample of 200 users and finds that 34 of them clicked the advertisement.
Answers
Answer:
Step-by-step explanation:
Confidence interval is written as
Sample proportion ± margin of error
Margin of error = z × √pq/n
Where
z represents the z score corresponding to the confidence level
p = sample proportion. It also means probability of success
q = probability of failure
q = 1 - p
p = x/n
Where
n represents the number of samples
x represents the number of success
From the information given,
n = 200
x = 34
p = 34/200 = 0.17
q = 1 - 0.17 = 0.83
To determine the z score, we subtract the confidence level from 100% to get α
α = 1 - 0.82 = 0.18
α/2 = 0.18/2 = 0.09
This is the area in each tail. Since we want the area in the middle, it becomes
1 - 0.09 = 0.91
The z score corresponding to the area on the z table is 1.35. Thus, the z score for a confidence level of 82% is 1.35
Therefore, the 82% confidence interval is
0.17 ± 1.35√(0.17)(0.83)/200
Confidence interval is 0.17 ± 0.036
Answer:
z ∗ = 1.341
Step-by-step explanation:
Its right on khan academy
Sam read 20 pages, which is 2/3 of the book. How many pages are there in the book?
Answers
Answer:
30pages
Step-by-step explanation:
20 is 2/3 so 10 is 1/3 so 3/3 is one book
Answer:
30 pages
Step-by-step explanation:
Horses are measured in units called hands one inch equals 1/4 hands the average Clydesdale is 17 1/5 hands tall what is this height in inches in feet
Answers
Answer:
68.8 Inches, 5.73 Ft.
Step-by-step explanation:
To find out how many inches tall the horse is, divide 17 1/5 by 1/4. You will get 68.8 inches. To convert that to feet, divide it by 12. that would be 5.7333... Ft, so you will probably need to round it to just 5.73.
How do I solve this?
Answers
Answer:
Try using estimation.
Make sure you don't start with the y-axis first.
I don't think they really want an exact answer though. You could try using a ruler if there's one on your phone but I still think estimation is okay.
Step-by-step explanation:
Look how close the point is to 1 on the x-axis and how close it is to 2 on the x-axis then chose what you think fits.
line m and p are perpendicular. if the slope of line m is -3, what is the slope of line p
Answers
Perpendicular slopes multiply to -1, so are negative reciprocals.
-1 / -3 = 1/3
Answer: B. 1/3
WILL GIVE BRAINLY 3RD GRADE
What is 1 + 2 + 3 times 78
Answers
Answer:
468
Step-by-step explanation:
Answer:
237
Step-by-step explanation:
This is written as 1+2+(3x78)
=3+234
=237
Please help! Correct answer only!
Out of 250 tickets in a raffle, one ticket will win a $190 prize, one ticket will win a $120 prize, one ticket will win a $90 prize, and one ticket will win a $50 prize. The rest will win nothing. If you have a ticket, what is the expected payoff?
$____
Answers
Answer:
$1.80
Step-by-step explanation:
(190+120+90+50)/250= a total expected payoff of 1.8 dollars. Hope this helps!
Circle O has a circumference of approximately 2507 ft.
What is the approximate length of the diameter, d?
40 ft
80 ft
125 ft
o
250 ft
Answers
Answer:
80 ft (b)
Hope it helps
Step-by-step explanation:
Circumference= π * diameter
Since the circumference is given..
250 = πd
d = 250/π
= 250/3.14
= 79.6
= 80 feet approx
Which of the following is a perfect square? 221 196 224 176 Need the answer as quick as possible
Answers
Answer:
196
Step-by-step explanation:
196 is the perfect square number, because its square root is 14.
[tex] \sqrt{196} = 14[/tex]
Can (somebody)help me!!!
Answers
Answer:
20 meters
Step-by-step explanation:
The area of a rhombus is the height multiplied by the base. Conversely, the height of a rhombus is the area divided by the base. Therefore, the height of this rhombus is 20 meters. Hope this helps!
I need help with questions 3 and 5, i've been struggling for ages but i'm baffled! Someone help please. :)
Answers
Answer:
3. 2x + y = 21.
Step-by-step explanation:
3. The diagonals of a rhombus are perpendicular and bisect each other.
So the slope of line AC = -1/m
= -1 / 1/2 = -2.
AC has coordinates (5, 11) so using the point-slope form of a line:
y - 11 = -2(x - 5)
y = -2x + 10 + 11
2x + y = 21.
5. Line L:
x + 2y = 12
2y = -x + 12
y = -1/2x + 6
The slope is -1/2 so the slope m of M is -1 / -1/2 = 2.
Solve 1 over 25 = 5x + 4. (1 point)
Answers
Answer: x=-0.792
Step-by-step explanation:
For this problem, you want to get like terms onto one side, then solve for x.
[tex]\frac{1}{25}=5x+4[/tex]
[tex]-\frac{99}{25} =5x[/tex]
x=-0.792
What is the equation of a line with a slope of -2 and passes through the point (6,8)
Answers
Start with the point-slope formula, shown below in bold.
Y - y1 = m(x - x1)Our point which in this case is (6, 8) represents (x1, y1) in our formula.
~Substitute
Y - 8 = -2(x - 6)
I will be writing this equation in standard form.
First distribute the -2 through the parentheses.
This gives us y - 8 = -2x + 12.
Next we would move the -8 to the right side of the equation
by adding 8 to both sides to get y = -2x + 20.
Finally we move our x term to the left side of the equation
by adding 2x to both sides and our answer is 2x + y = 20.
I need help please I need to get the right answer
Answers
Answer:
33
Step-by-step explanation:
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