We will isolate the variable y to make the equation in the slope-intercept form.
And the equation is y = x/9 - 7/3.
What is linear equation?Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.
Given:
A linear equation,
x - 9y = 21.
We will isolate the variable y to make the equation in the slope-intercept form.
9y = x - 21
y = x/9 - 7/3
Therefore, we will isolate the variable y.
To learn more about the linear equation;
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Which of the following is a vertex of the figure shown below after a reflection in the y axis?
Answer:
A.
Step-by-step explanation:
( 5,0)
When x axises is a reflection in the y axis
Two cyclists , A and B , are going on a bike ride and are meeting at an orchard . They left home at the same time . Functions A and B give their distance from the orchard , in miles , after riding for x hours . The functions are defined by these equations
Answer:
Cyclist A lives farther from the Orchard
Step-by-step explanation:
Given
[tex]A(x) =48.5 -21x[/tex]
[tex]B(x) =42 -16.8x[/tex]
Required:
Who lives farther from the Orchard.
To do this, we simply calculate the y intercept.
This represents the total distance traveled to get to the Orchard
To calculate y intercept, we set [tex]x = 0[/tex]
So:
[tex]A(x) =48.5 -21x[/tex]
[tex]A(0) = 48.5-21*0 =48.5-0 =48.5[/tex]
[tex]B(x) =42 -16.8x[/tex]
[tex]B(0) = 42 - 16.8*0 =42-0 =42[/tex]
From the above computation:
[tex]A(0) > B(0) \to 48.5 > 42[/tex]
Hence;
Cyclist A lives farther from the Orchard
"Two vehicles each travelled 200 kilometers in 3 hours, but ended up being 400 kilometers apart. How did this occur?" what kinda math do I need to do to find the answer?
Answer:
Direction of travel.
Step-by-step explanation:
Given that two vehicles traveled 200 km in 3 hours ;
Distance apart after 3 hours = 400 km
A logical solution to this final distance between the two cars can be explained by their direction of travel.
Since the Cars both covered the same distance over the same period of time, the both cars must have started from a common point and traveled in opposite direction.
Meaning ;
Car 1 traveled 200 km in a certain direction
Car 2 traveled 200km in the opposite direction
Hence, distance between the cars will be :
Distance covered by car 1 + distance covered by car 2
200km + 200km = 400km
Help ME DUE in 10 mins WILL GIVE BRAINIEST IF HELP!!! SHOULD BE EASY FOR SOME
Answer:
-9n - 3
Step-by-step explanation:
You went to the mall with $120 and spent $74. What percent was not spent?
Answer:
38.33
Step-by-step explanation:
Given: Total amount = 120, Amount used = 74
To find: percent that was not spent
Solution: Firstly, find how much is 74 out of 120. To find the percentage of a number when it is in decimal form, you just need to multiply the decimal number by 100. For this case, to convert 74 to a percentage, 74 x 100 = ...61.67%
Then, 100% - 61.67 = 38.33
There is a population of 192,500 bacteria in a colony. If the number of bacteria doubles every 238 minutes, what will the population be 476 minutes from now?
Answer: [tex]770,000[/tex]
Step-by-step explanation:
Given
The present population of bacteria is [tex]1,92,500[/tex]
It doubles in every 238 minutes
So, after 238 minutes it is
[tex]\Rightarrow 192,500\times 2=385000[/tex]
After another 238 minutes i.e. 476 minutes from starting, they becomes
[tex]\Rightarrow 385000\times 2=770,000[/tex]
Find the gradient of the line segment between the points (-1,3) and (1,-2).
Give your answer in its simplest form.
The answer is -5/2, hope this helps you!
I WILL GIVE BRAINLIEST PLEASE HELP FULLY (pt 6)
6. Julie bought a bond with a 5.2% coupon at its face value of $1000 and held it for 15 years, until it reached maturity. The length of the period for the bond was 6 months. Provide Julie with some assistance in determining how she made out on her investment. (5 points: Part I – 1 point; Part II – 1 point; Part III – 1 point; Part IV – 1 point; Part V – 1 point)
Part I: How many of the bond's periods were there in 1 year?
Part II: What was the periodic interest rate of the bond?
Part III: How much did the bond earn per period?
Part IV: For how many periods did Julie hold the bond?
Part V: What were Julie's total earnings on the bond?
Answer:
Part I: How many of the bond's periods were there in 1 year?
2 periods.
Part II: What was the periodic interest rate of the bond?
2.6%
Part III: How much did the bond earn per period?
$26
Part IV: For how many periods did Julie hold the bond?
30 periods
Part V: What were Julie's total earnings on the bond?
$1560
The picture is attached
Answer:
Step-by-step explanation:
A)
3x+1
B)
2Cos(2x-1)
Mike needs to pack school supplies for the summer. He stacks two boxes on the table to start packing. What is the total volume of the boxes?
A. 48 inches3
B. 72 inches3
C. 120 inches3
D. 168 inches3
Answer:
120 inches
Step-by-step explanation:
the first box on the bottom is 72 because 12 x 2 x 3 is 72 and the bottom on is 48 because 2 x 4 x 6 is 48. then add 72 plus 48 and it gives you 120 inches.
expre
If a +b+c= -3 and 2 + y = -9,
what is --2c – 2a – 3y - 26 – 3x?
I
Stuck? Watch a video or use a hint.
Answer:
33
Step-by-step explanation:
Rewrite the bottom expression:
-2a-2b-2c-3x-3y
Factor the expression into two parts:
-2(a+b+c) + -3(x+y)
Substitute -3 for a+b+c and -9 for x+y:
-2(-3) + -3(-9)
6 + 27
33
Therefore, your final answer is 33
A group of 63 first graders is attending a field trip to the Science Museum. If each student admission ticket costs $9.25, how much did it cost for all of the first graders to attend?
Answer:
$582.75
Step-by-step explanation:
I just multiplied $9.25 by 63 (The cost of one student admission ticket times the amount of students) to get the total cost.
Hope this helps!
Answer:
Big number
Step-by-step explanation:
PLEASE HELP I’ll give brainlest
Answer:
x = 10
Step-by-step explanation:
∡BDC = ∡ABD
ΔDBC = 20 + 5x - 2 + 112
180 = 20 + 5x - 2 + 112
180 = 5x + 130
50 = 5x
10 = x
Todd drove from baltimore, Md to new york city a distance of 192 miles. How many feet did todd drive??
Answer:
1.014e+6
Step-by-step explanation:
can't explain, I would if I could
Answer:
1,013,760 Feet
Step-by-step explanation:
A mile is equal to 5,280 feet
Give me Brainllest plz
MAAP REVIEW TEST 1 ATTEMPT Section 1 21 of 6821 of 68 Items 53:53 / 02:20:00 Item 21 Mrs. Peele has 1114 pounds of cookie dough. A batch of cookies requires 212 pounds of cookie dough. How many batches of cookies can Mrs. Peele make? 334 batches 3 and 3 fourths, [if gte msEquation 12]>34 412 batches 4 and 1 half, [if gte msEquation 12]>12 834 batches 8 and 3 fourths, [if gte msEquation 12]>34 2818 batches 28 and 1 eighth, [if gte msEquation 12]>18
Answer:
4 1/2
Step-by-step explanation:
Mrs. Peele has 11 1/4 pounds of cookie dough. A batch of cookies requires 2 1/2 pounds of cookie dough. How many batches of cookies can Mrs. Peele make?
Number of batches = total pounds of Dough Mrs Peele has / total dough required to make one batch
11 1/4 ÷ 2 1/2
convert the mixed fractions to improper fraction
to convert to improper fraction, take the following steps :
1. Multiply the whole number by the denominator
2. Add the numerator to the answer gotten in the previous step
3. divide the number gotten in the previous step by the denominator
45/ 4 ÷ 5/2
45 / 4 x 2/5 = 9/2 = 4 1/2
How many 1/5s are in 1?
Answer:
5
Step-by-step explanation:
1 ÷ 1/5= 1 x 5/1 =5
I hope im right!!
SOMEONE PLZ HELP ME QUICKKK
Use the following data set to answer the questions below.
8, 15, 17, 19, 21, 82
1. What is the mean?
2. What is the median?
3. Is there an outlier? If so, what is the outlier?
4. What is the mean without the outlier?
Answer:
1.The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.
2.The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average. ... If there is an odd amount of numbers, the median value is the number that is in the middle, with the same amount of numbers below and above.
3.There are no outliers. Explanation: An observation is an outlier if it falls more than above the upper quartile or more than below the lower quartile.
4.20. The "average" you're talking about is actually called the "mean". It's not exactly answering your question, but a different statistic which is not affected by outliers is the median, that is, the middle number. {90,89,92,91,5} mean: 73.4 {90,89,92,91,5} median: 90.
Step-by-step explanation:
brainless pls
Please please help me
Answer:
b) 43 degrees
Step-by-step explanation:
Answer:
Choice B
Step-by-step explanation:
The bottom right angle is 80° since thats the value of its complement
Subtract 180-123 to get the complement of the bottom left and the value of the bottom left, 57°
Since all the interior angles in a triangle will add up to 180° add 57 and 80 to get 137 then subtract 137 to get the value of x, 43.
2x + 4y = 22
2x - 2y = -8
Answer:
2x+4y=22
-2x+2y=+8
6y=30
y=5
now
replace the value of y in equ i
2x +4y =22
2x+20=22
x=1
Answer: x = 1 y= 5
Step-by-step explanation:
2x + 4y = 22 -
2x - 2y = -8
--------------------
0+6y = 30
Y= 30/6= 5
Substituting,
2x+ 4*5= 22
2x+ 20 = 22
2x= 22-20 = 2
X=2/2=1
5) A grocery store paid $147.98 for 7 crates of milk. This can be
expressed by the equation Y=KX. How much was it for one
crate?
Please help !
Construye una fórmula que permita calcular el dinero recaudado en un autobús en función de los billetes vendidos, sabiendo que cada uno cuesta 1,2 euros. ¿Se pueden unir los puntos.
Answer:
Step-by-step explanation:
Build a formula that allows you to calculate the money collected on a bus based on the tickets sold, knowing that each one costs 1.2 euros. Can you join the dots.
Spanish
8. If v2 = u2+2gs, find the value of s when v = 25,
u= 12 and g = 10.
Answer:
s = 24.05
Step-by-step explanation:
Given
v² = u² + 2gs ← substitute v = 25, u = 12, g = 10
25² = 12² + (2 × 10 × s)
625 = 144 + 20s ( subtract 144 from both sides )
481 = 20s ( divide both sides by 20 )
24.05 = s
Can someone please help me ?
please help me out :))
Answer:
144
Step-by-step explanation:
It rotates out of 360 degrees, and since it is a pentagon that rotates from two of its vertices, then 360/5 would give us the amount it is rotating from one vertice. So 72. Then multiply it by two because you are moving from e to b.
144
What is the radius and center for (x - 2)2 + y2 16? 0000 A. r = 16; center is (2,0) B. r = 4; center is (-2,0) C. r = 16; center is (-2,0) D. r = 4; center is (2,0)
Answer:
D. r = 4; center is (2, 0)Step-by-step explanation:
Equation of a circle:
(x - h)² + (y - k)² = r², where (h, k) is the center and r is the radiusGiven equation:
(x - 2)² + y² = 16Rewrite as:
(x - 2)² + (y - 0)² = 4²The center is (2, 0)
The radius is r = 4
Correct choice is D
General equation
(x-h)²+(y-k)²=r²Where centre is (h,k)
radius is r
(x-2)²+(y-0)²=4²Radius=4
centre (2,0)
The dimensions of a rectangular prism are 5 cm, 5 cm, and 2 cm.
Determine the surface area.
A. 50 cm?
B. 25 cm2
C. 60 cm2
D. 120 cm2
E. 90 cm2
ANSWER QUICK PLEASE
PLZZZZZ HELP ILL GIVE BRAINLIEST
Answer:
Hello! Your answer would be, 199.
Step-by-step explanation:
Hope I helped! Brainiest plz!♥ Have a nice morning! Hope you make a 100%! -Abby
A container in the shape of a square-based prism has a volume of 2744 cm'. What dimensions give the
minimum surface area? Calculate the minimum surface area.
Answer:
The dimensions that give the minimum surface area are:
Length = 14cm
width = 14cm
height = 14cm
And the minimum surface is:
S = 1,176 cm^2
Step-by-step explanation:
A regular rectangular prism has the measures: length L, width W and height H.
The volume of this prism is:
V = L*W*H
The surface of this prism is:
S = 2*(L*W + H*L + H*W)
If the base of the prism is a square, then we have L = W
Then the equations become:
V = L*L*H = L^2*H
S = 2*(L^2 + 2*H*L)
We know that the volume of the figure is 2744 cm^3
Then:
V = 2744 cm^3 = H*(L^2)
In this equation, we can isolate H.
H = (2744 cm^3)/(L^2)
Now we can replace this on the surface equation:
S = 2*(L^2 + 2*L* (2744 cm^3)/(L^2))
S = 2*L^2 + 4(2744 cm^3)/L
Now we want to minimize the surface area, then we need to find the zeros of the first derivative of S.
S' = 2*(2*L) - 4*(2744 cm^3)/L^2
This is equal to zero when:
0 = 2*(2*L) - 4*(2744 cm^3)/L^2
0 = 4*L*L^2 - 4*(2744 cm^3)
4*(2744 cm^3) = 4*L^3
2744 cm^3 = L^3
∛(2744 cm^3) = L = 14cm
Then the length of the base that minimizes the surface is L = 14.
Then we have:
H = (2744 cm^3)/(L^2) = (2744 cm^3)/(14cm)^2 = 14cm
Then the surface is:
S = 2*(L^2 + 2*L*H) = 2*( (14cm)^2 + 2*(14cm)*(14cm)) = 1,176 cm^2
The average growth of human hair is 0.5 inch
per month. Find how long it takes a human to
grow 3 inches of hair.
Equation:
Solution:
A sign next to the science lab says a person must be 54 inches tall to go in. At his last doctor's appointment, Hever was 4 feet 4 inches tall. He has grown 3 inches since then.
Answer:
Therefore he can go inside because 55 inches is taller than 54 inches.
Step-by-step explanation:
1 feet = 12 inches
His height is 4 feet and 4 inches
4 feet and 4 inches means
= 4*12+ 4
Converting feet into inches
=48+4= 52 inches
His height was 52 inches.
He has grown 3 inches
His new height is 52+3 = 55 inches
Therefore he can go inside because 55 inches is taller than 54 inches.