Answer:
We conclude that the rule for the table in terms of x and y is:
y = 3x+2Step-by-step explanation:
The table indicates that there is constant change in the x and y values, meaning the table represents the linear function the graph of which would be a straight line.
We know the slope-intercept form of the line equation
y = mx+b
where m is the slope and b is the y-intercept.
Taking two points
(-2, -4)(-1, -1)Finding the slope between (-2, -4) and (-1, -1)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-2,\:-4\right),\:\left(x_2,\:y_2\right)=\left(-1,\:-1\right)[/tex]
[tex]m=\frac{-1-\left(-4\right)}{-1-\left(-2\right)}[/tex]
[tex]m=3[/tex]
We know that the y-intercept can be determined by setting x = 0 and finding the corresponding y-value.
Taking another point (0, 2) from the table.
It means at x = 0, y = 2.
Thus, the y-intercept b = 2
Using the slope-intercept form of the linear line function
y = mx+b
substituting m = 3 and b = 2
y = 3x+2
Therefore, we conclude that the rule for the table in terms of x and y is:
y = 3x+2A company has two factories, factory A and factory B. The cost per item to produce q items in factory A is
200 + 3/q
q
. The cost per item to produce q items in factory B is
300 + q/
3q
. Find an expression for the sum of these costs per item. Then divide this expression by 2 to find an expression for the average cost per item to produce q items in each factory.
The average cost per item to produce q items in each factory is
Answer:
(700 + 51q)/4qStep-by-step explanation:
Given costs:
(200 + 13q)/q and (300 + 25q)/2qSum of the costs:
(200 + 13q)/q + (300 + 25q/2q) =(400 + 26q)/2q + (300 + 25q)/2q =(700 + 51q)/2qAverage cost is sum divided by number:
(700 + 51q)/2q ÷ 2 = (700 + 51q)/4qMarissa wants to sort 80 beads into 2 cases. The red case has 6 compartments, and the blue case has 8 compartments. How can she sort the beads so the compartments in each case hold the same number of beads and none are left over?
Answer:
5.7 beads
Step-by-step explanation:
Marissa wants to sort 80 beads into 2 cases. The red case has 6 compartments, and the blue case has 8 compartments.
We are told in the Question that:
the compartments in each case hold the same number of beads and none are left over
Hence, let the number of beads in each compartments = x
Therefore:
8x + 6x = 80 beads
14x= 80 beads
x = 80 beads/14
x = 5.7142857143 beads
x ≈ 5.7 beads
Hence, she can sort the beads into 5.7 beads per compartments
Answer:
chose any thang
Step-by-step explanation:
39. The ratio of new houses to antique houses in a village is 4:5. If there are
12 new houses, how many antique houses are there?
a. 8
b. 12
c. 15
d.
Step-by-step explanation:
☄ [tex] \underline{ \underline{ \text{Question }}}: [/tex] The ratio of new houses to antique houses in a village is 4 : 5 . If there are 12 new houses , how many antique houses are there ?
☄[tex]\underline{ \underline{ \text{Solution}}} : [/tex]
✏ Let , the number of antique houses in a village be ' x ' .
Then , According to the question :
[tex] \sf{ \frac{Number \: of \: new \: houses}{Number \: of \: antique \: houses} \: = \: \frac{4}{5}} [/tex]
⤑[tex] \sf{ \frac{12}{x} = \frac{4}{5}} [/tex]
Apply cross product property
⤑[tex] \sf{4 \times x = 12 \times 5}[/tex]
⤑[tex] \sf{4x = 60}[/tex]
⤑[tex] \sf{ \frac{4x}{4} = \frac{60}{4}} [/tex]
⤑[tex] \sf{x = 15}[/tex]
So, The number of antique houses in a village is 15.
[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \bold{15}}}}}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ツ
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is 20 even or odd thanks to anyone who help
Answer:
i think its odd sry if im worng
Step-by-step explanation:
jkjk its even
Answer:
20 is even because it can be split in half 10+10=20
Step-by-step explanation:
someone HELP
whats the value of -0.25÷(0.2÷-0.5)
Answer:
0.625
Step-by-step explanation:
PEMDAS
First work in the parenthesis.Divide 0.2/-0.5
That equals -0.4
Then Divide -0.25/-0.4
That equals=0.625
Brainliest if correct
The corners of a triangle garden are marked with trees at coordinates (0,3),(3,0), and (4,3). Let a denote the area of the garden, in square units. Which of the following is true?
Given:
Three corner points of a triangular garden are (0,3),(3,0), and (4,3).
To find:
The area of the garden.
Solution:
We know that, area of a triangle is
[tex]A=\dfrac{1}{2}|x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)|[/tex]
Let a denote the area of the garden, in square units.
Three vertices of the triangular garden are (0,3),(3,0), and (4,3). So, area of the triangular garden is
[tex]a=\dfrac{1}{2}|0(0-3)+3(3-3)+4(3-0)|[/tex]
[tex]a=\dfrac{1}{2}|0(-3)+3(0)+4(3)|[/tex]
[tex]a=\dfrac{1}{2}|0+0+12|[/tex]
[tex]a=\dfrac{1}{2}\times 12[/tex]
[tex]a=6[/tex]
Therefore, the area of the garden is a=6 square units.
What is the distance, rounded to the nearest tenth, between the points (-2.4) and (6,-4)?
Answer:
[tex]distance = \sqrt{(x _{1} - x _{2})^{2} + {(y _{1} - y _{2})}^{2} } \\ = \sqrt{ {( - 2 - 6)}^{2} + {(4 - ( - 4))}^{2} } \\ = \sqrt{64 + 64} \\ = \sqrt{128} \: units[/tex]
Ellie bought a pair of jeans on sale for 15% off. If the jeans were originally $35, how much did she save?
Answer:5.25
Step-by-step explanation:
pls help me 10 points
Answer:
domain={-6,-6,0,3}
range={5,-9,3,-7}
NEED HELP WITH THIS 1 EASY MATH QUESTION, WILL GIVE BRAINLIST! The answer options are 510, 364, 162 and 2028. please help need this NOW! asap.
Answer:
Sorry bro, Even I need to know this anwer
Step-by-step explanation:
Answer:
The lateral surface area is 510 [tex]ft^{2}[/tex]
Step-by-step explanation:
The lateral surface area is the area of the "tunnel" part of the triangle
4.Under NCC training program, students of Vidyalaya stayed in a conical tent made, with a base radius of 7m and height 24m.After performing whole day program of NCC , students came to their tent for some rest and enjoyment. What is the slant height of the tent?
b. what is the area of the tarpaulin used in making the tent , assuming that all the stitching margins and the wastage is negligible?
c. What is the length of the tarpaulin if its width is 11m?
d. Determine the cost of tarpaulin, if it measuring 1 m2 costs Rs. 5 .
Ellie bought a pair of jeans on sale for 15% off. If the jeans were originally $35, how much did she save?
Answer:
she saved $5.25
Step-by-step explanation:
Answer: She saved $5.25
Step-by-step explanation: 15% of $35 is $5.25
cami bought a pack of 6 books for $18.48. what was the unit price
Answer:
$3.08
Step-by-step explanation:
To find the units price you would just divide $18.48 by 6 which gives you $3.08
I don't understand how to do this question, I need help
Find the value of x in each diagram
Answer:
A. x = 8.
B. x = 31.
C. x = 32.
Step-by-step explanation:
Here. the sum of the 2 parallel sides of the trapezoid = 2 * length of the middle line segment.
MN + RS = 2PQ
32+ x = 2*20
x = 40 - 32
x = 8.
MN + RS = 2PQ
20 + 42 = 2PQ
2x = 62
x = 31
MN + RS = 2PQ
22 + 42 = 2PQ
2x = 64
x = 32.
The equation of line t is y= -8/7x + 5. line u is perpendicular to t. what is the slope of line u?
Answer:
slope = 7/8
Step-by-step explanation:
perpendicular means line with opposite reciprocal slope ( flip and change signs)
thus
slope of line t = -8/7
flip and change signs
7/8
PLEASE HELP ME !! EASY 25 POINTS! WILL MARK AS BRAINLIEST!!!!! If you need any more info, please let me know.
4. Christina made a graph to describe the distance she walked on her back packing trip. She plotted miles on the y-axis and the number of days on the x-axis. She graphed a point at (0,0) and another point to show she walked 14 miles in 8 days and drew a line that passes through the points. What is the slope of the line?
Step-by-step explanation:
We have the points (0, 0) and (8, 14).
Rise between the points = 14 - 0 = 14.
Run between the points = 8 - 0 = 8.
Slope of Line
= Rise/Run = 14/8 = 1.75.
6x+7y+9
24xy
9x+7y+8
9x+7+6+2
5x+4x2y+5y+4+4
Answer:
40+33x+24xy
chile who gave you this problem?
Uma escola possui 2500 alunos matriculados e 1200 foram selecionados para participar de um concurso de redação. Qual é a razão que representa o total de alunos selecionados?
Answer:
12:25
Step-by-step explanation:
Número de alunos matriculados: 2.500
Número de alunos selecionados: 1.200
A proporção que representa o número total de alunos selecionados em relação ao número de alunos matriculados é dada como:
Número de alunos selecionados: Número de alunos matriculados
= 1200: 2500
= 12 : 25
A and B, working together can finish a piece of work in 6 days, while A alone can do it in 9 days. How much time will B alone take to finish it?
6x + 57= 135 solve x
Answer:
can't find answer sorry
A system of linear equations that has the same slope with different y-intercepts will have______
A) the same line
B) parallel lines
C) intersecting lines and lines that have the same equation
D) either intersecting lines or lines that have the same slope
The elementary Robotics Club is going on a field trip to the Kennedy Space Center. They will need to rent minivans to get to their destination. There are 35 fourth graders and 40fifth graders in the Robotics Club. Each minivan can only hold 8 people. How many minivans does the school need to rent?
Answer: 10 minivans .
Step-by-step explanation:
Given: There are 35 fourth graders and 40fifth graders in the Robotics Club.
Total people = 35+40 = 75
Since each minivan can only hold 8 people.
Number of minivan required = (Total people) ÷ 8
= 75 ÷ 8
= 9.375≈ 10
Hence, the school needs to rent approx. 10 minivans .
On a highway, you take 3 seconds to increase your speed from 32 to 35 miles per hour. Your speed increases the same amount each second. The speed limit is 65 miles per hour. What is the domain of the function?
Answer:
1 to 30 seconds
Step-by-step explanation:
3 seconds increases your speed from 32 to 35 miles per hour
Hence 3 seconds = 3 miles per hour(35-32 miles)
1 second = 1 mile
The function for the increase per mile is therefore:
f(x)= 1x
Where x is number of seconds travelled on the highway
The domain of a function are the possible input values for x. Since the speed limit on the highway is 65 miles, the input values for x cannot be more than 30 seconds(current speed is 35 miles per hour, 65-35=30)
Estimate the sum of 945 + 573 + 617 by rounding each number to the nearest hundred.
The estimated sum of 945 + 573 + 617 by rounding each number to the nearest hundred is 2100.
What is rounding off of numbers?We round off numbers to make them easier to remember and it also keeps their value approximately to the place it has been rounded off.
To round off any number to any place we'll look for the digit next to that place and if it is equal to or greater than 5 we'll add one to the previous digit and make all the digits after it zeroes and if the digit is less than 5 we do not add one to the preceding digit and simply make all the digit after it to zeroes.
Given, Are the sum of three integers 945, 573, and 617.
Now, 945 rounded to the nearest hundred is 900, 573 rounded to the nearest hundred is 600 and 617 rounded to the nearest hundred is 600.
Therefore, the sum of 945 + 573 + 617 by rounding each number to the nearest hundred is 900 + 600 + 600.
= 2100.
learn more about rounding off of numbers here :
https://brainly.com/question/29088877
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Bernice deposited $12 in a savings account that earns 2.3% simple interest. Which graph represents this scenario?
Answer:
what graphs?
Step-by-step explanation:
yeah put the graphs on here and someone will answer it
Please answer correctly !!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
9514 1404 393
Answer:
DJ = 48
Step-by-step explanation:
The centroid (J) divides the median into parts that have the ratio 2:1.
DJ : JH = 2 : 1
DJ : (DJ +JH) = 2 : (2+1)
DJ : DH = 2 : 3
DJ = (2/3)DH = (2/3)(72)
DJ = 48
3/8 divided by -0.25
Answer:
thw answer is -3/2 and in decimal form its -1.5
Step-by-step explanation:
hoped I helped:)
Unit rate (grade 8)
Franklin needs 2.75 cups of flour for every 1.5 cups of sugar in his cookie recipe. This will yield 3.5 dozen cookies. What is the unit rate for sugar per cookie? Round your answer to the tenths place.
Answer:
7.38
Step-by-step explanation:
Jenna competes in the high jump. Her best jump in the first meet is 414 feet. Her best jump in the second meet is 456 feet. Enter an expression, using equivalent fractions with a common denominator, to model how much the height of her jump increased.
Answer: [tex]\dfrac{7}{69}[/tex] of height has been increased in second jump from the first jump.
Step-by-step explanation:
In first meet, height of best jump = 414 feet
In second meet, height of best jump = 456 feet
Increase in height = 456 feet - 414 feet
= 42 feet
The fraction of increased in height = [tex]\dfrac{\text{Change in height}}{\text{previous height}}[/tex]
[tex]=\dfrac{42}{414}\\\\=\dfrac{7}{69}[/tex]
Hence, [tex]\dfrac{7}{69}[/tex] of height has been increased in second jump from the first jump.
If J M = 9 and K M = 4 , what is the approximate perimeter of Δ J K L ? 26.2 26.2 29.8 29.8 31.0 31.0 31.7
Answer:
Correct option is (a)
Step-by-step explanation:
According to question in the triangle ΔJKL
JK = 9 and KL =4
according to the condition of triangle sum of two sides must be greater than the third side
Here sum of its two sides is 9 + 4 = 13
⇒ third side must be greater than 13 say 13.2 = JL
therefore, perimeter of triangle ΔJKL is
JK + KL + JL = 9 + 4 + 13.2 = 26.2
Therefore correct option is (a)