Answer:
y = 3x
2y + 2x = 85
x = 10 5/8 y = 31 5/8
Step-by-step explanation:
Let’s say that y = length and x = width. We know that the length is 3 times the width (y = 3x) and the perimeter of the rectangle is 85 (2y + 2x = 85). To solve the system of equations, substitute y = 3x into the other equation. This results in the equation 2(3x) + 2x = 85. We now simplify the equation. 6x + 2x = 85 8x = 85 x = 10 5/8.
Now that we know x, we can substitute it into either equation to solve for y. y = 3(10 5/8) y = 31 5/8
The system of equation which represent the given situation is 85 = 8x.
And the length and width of the rectangle is 36.86 and 10.62unit respectively.
What is perimeter?
Perimeter is the distance around the edge of a shape.
Formula for the perimeter of a rectangle[tex]P = 2(l+w)[/tex]
where,
P is the perimeter of the rectangle
l is the length of the rectangle
w is the width of the rectangle.
According to the given question here:
We have,
The perimeter of the rectangle is 85 unit.
Let the width of the rectangle be x unit.
Then, the length of the rectangle be 3x.
Therefore, the equation which represent the situation is given by
85 = 2(x + 3x)
⇒85 = 2(4x)
⇒ 85 =8x
⇒ x = 85/8 = 10.62unit
⇒ 3x = 10.62 × 3 = 31.86 unit.
Hence, the length of the given rectangle is 31.86 unit and width is 10.62 unit .
Learn more about the perimeter of the rectangle here:
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Suppose m is the line with equation x=-5, line n is the equation y=1
Here is the complete question:
suppose m is the line with equation x=-5, line n is the line with equation y=1, line g is the line with equation y=x, and line h is the line with equation y=-2. Given A(9,-3), B(6,4), and C(-1,-5), what are the coordinates of the vertices of △A′B′C′ for each reflection?
1. Rx-axis
2. Ry-axis
Answer with step-by-step explanation:
1. When you get the reflecting coordinates along x-axis, the signs of the y coordinates changes. Therefore, A(9,-3), B(6,4), and C(-1,-5) becomes:
A(9, 3), B(6, -4), and C(-1, 5).
2. When you get the reflecting coordinates along y-axis, the signs of the x coordinates changes. Therefore, A(9,-3), B(6,4), and C(-1,-5) becomes:
A(-9, -3), B(-6, 4), and C(1, -5).
can somebody tell me the answer to this please
Solve the equation for x.
- 1/2 x - 3 = 4
Answer:
Step-by-step explanation:
It is -14
If (3 , 2) is a point on the line whose equation is y = 3x + k, determine the value of k.
Answer:
-7 =k
Step-by-step explanation:
y = 3x + k
Substitute 3 in for x and 2 in for y
2 = 3*3+k
2 = 9+k
Subtract 9 from each side
2-9 = k
-7 =k
Which is greater 3.42 or 3.042
Answer:
3.42
Step-by-step explanation:
PLEASE HELPP !!!
given f(x)=x^3+x^2-x what is f(4)
Answer:
76
Step-by-step explanation:
Plug 4 in for each x
Answer:
76
Step-by-step explanation:
given f(x)=x^3+x^2-x what is f(4)
whenever u see f(4) it is telling you that whenever you see an x you would replace it with a 4 so you start substituting the x for 4's or replacing them (same thing XD) 4^3+4^2-4 4 times 4 times 4 = 64 + 4 times 4 = 16
64 + 16 - 4 = 76
The figure below shows a triangle with vertices A and B on a circle and vertex C outside it. Side AC is tangent to the circle. Side BC is a secant intersecting the circle at point X:
The figure shows a circle with points A and B on it and point C outside it. Side BC of triangle ABC intersects the circle at po
What is the measure of angle ACB? (6 points)
23°
32°
46°
16°
What is 36363 /2626 and the multiple of it by 7
Answer:
96.9310738766
Step-by-step explanation:
Describe the transformation that takes.
f(x)=x+1 to g(x)=-x+4
Answer:
translation to the right 3 and reflection
Which expression is equivalent to (5^-2) (5^-1)
-1/125
-1/5
1/125
1/5
MARK BRAINLEST
Find the equation of the line passing through the points (2, 4) and (3, 2).
Y = [?]x + [?]
Which of the following fractions is an improper fraction? 21/25 8/7 6/11 2/3
Answer:
8/7
Step-by-step explanation:
The number on the left is bigger than the number on the right. It is like the fraction is overflowing. You could turn it into 1 1/7 to make it a proper fraction.
A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out what price the widgets should be sold for, to the nearest cent, for the company to make the maximum profit.
y=-15x^2+801x-5900
Answer:
The widgets should be sold for $26.7 for the company to make the maximum profit.
Step-by-step explanation:
Given the quadratic equation
[tex]f\left(x\right)=-15x^2+801x-59000[/tex]
As the leading coefficient is (-3), so the graph would be a downward Parabola.
Thus, the maximum profit would be at the vertex.
The selling price 'x' can be determined by determining the x-coordinate of the vertex.
In order to calculate the x-coordinate of the vertex, we can find this by
x = -b/2a
where a = -15 and b = 801
x = -801 / 2(-15)
x = -801/-30
x = 801/30
x = 267/10
x = 26.7
Therefore, the widgets should be sold for $26.7 for the company to make the maximum profit.
A pediatrician is conducting an experiment to determine which brand of baby food (A, B, or C) and amount of tummy
time (half an hour a day or none) will produce healthier babies, determined by weight gain in the first few months after
starting the baby food. Her patients are divided into equally sized groups and are randomly assigned to a brand of baby
food and amount of tummy time. What are the experimental unit(s) in this study?
the babies
O the pediatrician
O the brand of food
the amount of tummy time
the parents
Answer: the babies
Step-by-step explanation:
The experimental unit in an experiment is the one on which the experiment is performed. According to the given experiment, the motive is to identify which brand of baby food is helpful in producing healthier babies which can be determined by the weight gain in babies during first few months after providing the baby food.
Here, the experiment units are the babies which are provided with foods of different baby food brands to check their weight gain and determine their health.
i need help with this ?
Answer:
[ - 2, - 7 ]
Step-by-step explanation:
What is the rate of change of the following equation? y = -5/3x
Answer: -5/3
Step-by-step explanation:
In an equation y = mx + b, m is the value of the slope. The slope is the same as the rate of change. In this case, m = -5/3, thus the rate of change is -5/3.
Find Measure of angle 1
Options: 60
50
40
30
Answer:
Its equal so its 40
Step-by-step explanation:
prove me wrong
-The tables below contain integers, fractions or mixed numbers.
Select the table whose rations of ordered pairs represent a proportional relationship between x and
ху
0 0
х
y
0
0
2
A
6
o 2
B
1
2
3
4
3
4
4
6
3
1
6
ху
00
y
х
y
0 0
1 2
4
5
6
D
3
4
8 21
2
56
12.32
3
Answer: it’s b
Step-by-step explanation:
Trust me
What equation in slope intercept form represents the line that passes through the two points?
(5,7), (6,-2)
Answer:
[tex]y = -9x +52[/tex]
Step-by-step explanation:
Given
[tex](x_1.y_1) = (5,7)\\[/tex]
[tex](x_2,y_2) = (6,-2)[/tex]
Required
Determine the equation in slope intercept form
First, we calculate the slope of the line:
[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex]
This gives:
[tex]m = \frac{7 - (-2)}{5 - 6}[/tex]
[tex]m = \frac{7 +2}{-1}[/tex]
[tex]m = \frac{9}{-1}[/tex]
[tex]m = -9[/tex]
Th equation is then calculated using:
[tex]y - y_1 = m(x - x_1)[/tex]
This gives:
[tex]y - 7 = -9(x - 5)[/tex]
Open bracket
[tex]y - 7 = -9x +45[/tex]
Make y the subject
[tex]y = -9x +45+7[/tex]
[tex]y = -9x +52[/tex]
This recipe makes 8 portions of porridge. Complete the amount of each ingredient that is needed to make just 5 portions. Recipe: Serves 8 400 g oats 1.2 l milk 40 g sugar
Answer:
5 portions of porridge requires
250g of oats, 0.75L of milk and 25g of sugar
Step-by-step explanation:
This recipe makes 8 portions of porridge. Complete the amount of each ingredient that is needed to make just 5 portions.
The ingredients for the recipe = Oats, Milk, Sugar
Hence:
For Oats
8 portions of porridge = 400g of oats
5 portions of porridge = x
Cross Multiply
8x = 5 × 400
x = 5 × 400/8
x = 250g of oats
For Milk
8 portions of porridge = 1.2 L of milk
5 portions of porridge = x
Cross Multiply
8x = 5 × 1.2
x = 5 × 1.2/8
x = 0.75 L of milk
For sugar
8 portions of porridge = 40g of sugar
5 portions of porridge = x
Cross Multiply
8x = 5 × 40
x = 5 × 40/8
x = 25g of sugar
Hence:
5 portions of porridge requires
250g of oats, 0.75L of milk and 25g of sugar
PLEASE HELP VERY URGENT!
The graph shows the distance Kerri drives on a trip. What is Kerri's speed?
Driving Time and Distance
A. 25 miles per hour
B. 60 miles per hour
C. 75 miles per hour
D. 50 miles per hour
Answer:
Kerri's speed = 50 mile per hour. Therefore option (D) is true.
Step-by-step explanation:
Given the distance-time graph
It is clear from the distance-time graph that:
at Time = 1 hour, Distance = 50 milesat Time = 2 hours, Distance = 100 milesso the two points on the distance-time graph is:
(1, 50)(2, 100)Finding the slope between the points to determine the speed.
Please note that the slope between the points represents the speed or rate of change.
Speed = Rate of change = y₂-y₁ / x₂-x₁
= 100 - 50 / 2-1
= 50 / 1
= 50 miles per hour
Thus, Kerri's speed = 50 mile per hour. Therefore option (D) is true.
Raina drank 5 L 400 ML of water on the first three days of the week each. The next 2 days she drank 3 L each and the remaining days of the week she drank only 1.500 L each .
How much water did she drink in that one week?
First three days;
5L 400 ML;
Next two days 3 L each = a total of 6 L
Remaining 4 days; 1.5 L each which is a total of 4 * 1.5 = 6 L
Total amount drank will be;
6 + 6 + 5L 400 ML
= 17L 400 ML
Therefore, she drank 17L 400 ML that week.
Answer:
14.4 lStep-by-step explanation:
First 3 days = 5 l 400 ml = 5.4 lThe next 2 days = 3l *2 = 6 lRemaining days = 1.5 l *2 = 3 lTotal in one week is:
5.4 + 6 + 3 = 14.4 lhelp me and ill give you brainliest thanks
Please help!
The sides of a square are
3 2/7 inches long. What is the area of the square? (5 points)
1) 9 4/7 square inches
2) 3 4/7 square inches
3) 3 4/49 Square inches
4) 9 4/49 Square inches
Select the table that represents a linear function plz help
Answer: B.
Step-by-step explanation: It's the only table that shows a consistent slope. The equation would be y=6x+6.
Answer:
B
Step-by-step explanation:
Find a public opinion poll from a media source that predicts a probability. Design a probability experiment that models a political science public opinion poll.
What are the possible outcomes and sample space of the experiment?
What were the results of the experiment? Show the results in table format.
What is the probability of each option?
How can a binomial probability experiment be set up to test the accuracy of the results?
If you could answer this i would be very grateful my grade relies on this getting answered
Probability theory, a branch of mathematics concerned with the analysis of random phenomena. The outcome of a random event cannot be determined before it occurs, but it may be any one of several possible outcomes. The actual outcome is considered to be determined by chance.
Jason bought a bolt of fabric for his costume shop. He used ở of the fabric to make
costumes for one client and 30 meters of the fabric for costumes for another client. He
used 45 meters in all. Which equation could you solve to find x, the amount of cloth
Jason bought?
A.
45 +
1/3 = 30x
B.
7 x + 30 = 45
C.
30x +
7/3 = 45
D.
45 - 30x =
(3,-2) (4,5)
m = [?]
Answer:
m = 7
Step-by-step explanation:
Use the slope formula.
[tex]m=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}=\frac{5+2}{4-3}=\frac{7}{1}=\boxed{7}[/tex]
The slope is 7.
Hope this helps.
Answer:
m=7
Step-by-step explanation:
Slope is the change in Y over the change in X
The change in Y is 7
The change in X is 1
7/1 = 7
a.loana established all necessary conditions but then used an inappropriate congruence cirterion
b.loana used a criterion that does not guarantee congruence
c.loana only established some of the necessary conditions for a congruence criterion
d.loana used an invalid reason to justify the Congruence of a pair of sides or angles
Answer:
The correct option is
a. Loana established all necessary conditions but then used an inappropriate congruence criterion
Step-by-step explanation:
The two column proof is presented as follows;
Statement [tex]{}[/tex] Reason
1. PQ = RQ = 9 [tex]{}[/tex] Given
2. m∠O = m∠S = 90° [tex]{}[/tex] Given
3. m∠PQO = m∠RQS = 63° [tex]{}[/tex] Given
4. ΔOPQ ≅ ΔSRQ [tex]{}[/tex] Angle-Side-Angle Congruence
The given parameters shows that the side, adjacent angle, and next adjacent angle of triangle ΔOPQ are congruent to the corresponding side, adjacent angle, and next adjacent angle of triangle ΔSRQ, therefore, the appropriate congruency criterion that shows that ΔOPQ is congruence to ΔSRQ [tex]{}[/tex]is the Side-Angle-Angle which is the same as the Angle-Angle-Side AAS, congruency criterion
Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at 95 miles per hour. The westbound train travels at 115 miles per hour. How long will it take for the two trains to be 336 miles apart? Do not do any rounding.
Answer:
It will take 1.6 hours for the two trains to be 336 miles apart.
Step by step explanation:
Given that:
Speed of eastbound train = 95 miles per hour
Speed of westbound train = 115 miles per hour
Combined speed = 95+115 = 210 miles
Distance = 336 miles
[tex]Speed = \frac{Distance}{Time}\\\\210 = \frac{336}{Time}\\\\Time = \frac{336}{210}\\\\Time = 1.6\ hours[/tex]
Hence,
It will take 1.6 hours for the two trains to be 336 miles apart.