The dimensions of the rectangle are width = 4 yds and length = 7 yds.
What is the area of the rectangle?The area of a rectangle is defined as the product of the length and width.
The area of a rectangle = L × W
Where W is the width of the rectangle and L is the length of the rectangle
We have been given that the length of a rectangle is 5 yds less than three times the width,
The area of the rectangle is 28 yds square.
Let the width of the rectangle is x
So the length of the rectangle = 3x - 5
The area of a rectangle = x × (3x - 5)
28 = 3x² - 5x
3x² - 5x - 28 = 0
(3x + 7)(x - 4) = 0
3x + 7 = 0 and and x - 4 = 0
x = -7/3 and x = 4
Take x = 4 as the width
So the length of the rectangle = 3(4) - 5 = 12 - 5 = 7
Therefore, the dimensions of the rectangle are width = 4 yds and length = 7 yds.
Learn more about the Area of the rectangle here:
brainly.com/question/20693059
#SPJ5
The fractions of -42/-45 and 14/15 are equivalent
Answer:
True
Step-by-step explanation:
The center of a circle is at (-5, 7) and its radius is 6 units. Which of the following is the equation for this circle?
A) (x - 5)2 + (y + 7)2 = 36
B) (x + 5)2 + (y - 7)2 = 36
C) (x - 5)2 + (y + 7)2 = 12
D) (x + 5)2 + (y - 7)2 = 12
Answer:
Option B, (x + 5)² + (y - 7)² = 36
Explanation:
The equation for a circle is (x - h)² + (y - k)² = r² where r represents the radius of the circle and the center is ordered pair (h, k).
We can then plug the given information into the formula and simplify where possible.
Center at (-5, 7), radius = 6:
[x - (-5)]² + (y - 7)² = (6)²
(x + 5) + (y - 7)² = 36, which matches option B.
Find the x-intercept of the function: f(x) = 6x - 2. Round answer to the nearest hundredth, if necessary. A) (0.39, 0) B) (1.00, 0) C) (2.58, 0) D) (3.00, 0)
what is f(5) if f(x)=8x-3
Answer:
f(5)=37
Step-by-step explanation:
We have the function f(x)=8x-3,
f(5) is the value of the function f when x=5, then you have to replace f(x) with x=5,
f(x)=8x-3
f(5)=8.(5)-3
f(5)=40-3
f(5)=37
the weight of an object on mars varies directly as the weight of the object on earth a 90 pound object on earth weighs 34 pounds on mars.if an object weighs 135 pounds on earth how much does it weigh on mars
We have been given that the weight of an object on the mars varies directly as the weight of the object on earth.
Let y be weight of an object on Mars and x be weight of an object on Earth.
[tex]\\ y=kx[/tex]
We have been given that the weight of an object on Mars is 34 pounds and weight of the same object on Earth is 90 pounds.
Putting the given values in equation we get
[tex]\\ 34=k(90)\\ \\ k=\frac{34}{90}=\frac{17}{45}[/tex]
Therefore, our equation now becomes
[tex]\\ y= \frac{17}{45}x[/tex]
Now we have been given that the weight of an object on Earth is 135 pounds and we have to find the weight of the same object on Mars,
We have been given that [tex]\\ x=135[/tex]
Putting the given values in our equation we get
[tex]\\ y= \frac{17}{45}(135)=\frac{17\cdot 135}{45}=17\cdot 3 = 51[/tex]
Therefore weight of the object on Mars will be 51 pounds.
What is the answer to 5+14a=9a−5
At the school book sale, Michael bought 3 books for $6. Darnell bought 5 books for $10. Are these rates proportional?
The side of a square measures 3mn^2. What is the area of the square if m=4 and n= -2
What is the equation for a circle that has a center at -6,5 and passes through the point -11,3?
(-6-8i) + (-6-i)
study island question please help
2%2, percent of the students at Hamilton Middle School have red hair. There are 700700700 students at Hamilton Middle School. How many students at Hamilton Middle School have red hair?
Answer:
14 students have red hair.
Step-by-step explanation:
In Hamilton Middle School 2% of the students have red hair .
Total number of students in the school = 700
We have to calculate the number of students who have red hair.
2% of 700 students.
= [tex]\frac{2}{100}[/tex] × 700
= 0.02 × 700
= 14 students.
14 students have red hair in Hamilton Middle School.
Part 1 (Unit 2): Subtract Polynomials:
(3−6n5−8n4)−(−6n4−3n−8n5)
Part 2 (Unit 3): Solve this quadratic equation. Show all your work (steps) for full credit:
4x2−2x−5=0
Simplify the following expression.
[tex]4a^{-2} b
[/tex]
Answer: C
Step-by-step explanation:
The grid shows a section of the beach in Coast City where each square has sides that are 100 yards long.
On a coordinate plane, the beach front is about 800 yards long. From the south pier to the north pier along harbor drive and park street, the distance is 1200 yards long.
Lisa walked from the South Pier to the North Pier along the beachfront. Deanna walked from the South Pier to the North Pier along Harbor Drive and Park Street. Which statement best describes the distances the two women walked?
a. Lisa walked about 400 yards farther than Deanna.
b. Lisa walked the same distance as Deanna.
c. Lisa walked about 400 yards less than Deanna.
d. Lisa walked about 400 yards.
Choose the ratio you would use to convert 88 pounds to ounces remember that there are 16 ounces in 1 pound
A. 1 pound/16 ounces
B. 16 ounces/ 1 pound
C. 1 ounce/ 88 pounds
D. 88 ounces/ 1 pound
Answer:
The ratio that we use to convert 88 pound to ounces is:
B. 16 ounces/1 pound
Step-by-step explanation:
There are 16 ounces in 1 pound
i.e. 1 pound=16 ounces
88 pound=88 pound × 16 ounces/1 pound
Hence, the ratio that we used to convert 88 pound to ounces is:
B. 16 ounces/1 pound
!!!!PLEASE HELP, WILL GIVE BRIANLIEST!!!!
Which three-dimensional figure is formed by the rotation given?
The first picture is the rotation, the rest are the choices.
44 points, please answer this question ASAP!
Answer:
-3
Step-by-step explanation:
mean = sum of terms/number of terms
mean = (-10-23+8+7+3)/5
mean = -15/5
mean = -3
Please help me with my question
please help with math? will give branliest!!
2. A wildlife refuge in South America has howler monkeys and spider monkeys. A biologist working there randomly selected eight adults of each type of monkey, weighed them, and recorded their weights in pounds.
howler monkey: {15, 16, 17, 17, 17, 17, 18, 19}
spider monkey: {12, 13, 13, 14, 14, 14, 16, 16}
(a) Calculate the median each type of monkey.
(b) Calculate the mean for each type of monkey.
(c) Calculate the MAD for each type of monkey.
(d) Calculate the means-to-MAD ratio for the two types of monkeys.
(e) What inference can be made about the weight of both types of monkeys? Explain.
Answer:
The median of howler monkey is, 17
And, Median of spider monkey is, 14
The mean for the howler monkeys is 17 and the MAD is 0.8571.
The mean for the spider monkeys is 14 and the MAD is 1.1429.
The means-to-MAD ratio is 2.6249.
This means that on average, the number of mean absolute deviations that separate the means is 2.6. This means they are different.
Find the median of data set as;
For howler monkey;
There are 8 number of howler monkey.
Hence, Median is,
= (8/2 + 1)
= 5 th term
= 17
For spider monkey;
There are 8 number of spider monkey.
Hence, Median is,
= (8/2 + 1)
= 5 th term
= 14
To find the mean of the howler monkeys, add all of the data values and divide by 7:
= (15+16+17+17+17+17+18+19)/7
= 119/7
= 17
To find the MAD, subtract each data point from the mean; take the absolute deviation; then average these together:
= (|15-17|+|16-17|+|17-17|+|17-17|+|17-17|+|17-17|+|18-17|+|19-17|)/7
= (2+1+0+0+0+0+1+2)/7
= 6/7
= 0.8571
And, Repeating these processes for the spider monkeys:
Mean:
(12+13+13+14+14+14+16+16)/7
= 98/7
= 14
And, MAD:
= (|12-14|+|13-14|+|13-14|+|14-14|+|14-14|+|14-14|+|16-14|+|16-14|)/7
=(2+1+1+0+0+0+2+2)/7
= 8/7
= 1.1429
To find the means-to-MAD ratio, find the difference in the means and divide it by the larger MAD:
17-14=3;
Hence, We get;
3/1.1429 = 2.6249
Learn more about the addition visit:
https://brainly.com/question/25421984
#SPJ2
A toy store marks up wooden yoyos 50%. If the wholesale price of each yoyo is $2.20, what will be the price per yoyo at the cash register?
Answer:
1.10
Step-by-step explanation:
because 2.2o divided by half 1/2 or 50% off is 1.10 to check your work it is 1.10+1.10=2.20
Which answer choice below correctly identifies the 202nd term in the sequence 5, 10, 15, 20, 25 …?
Answer:
answer is : A. 1010
Step-by-step explanation:
Solve by factoring AKA zero product property method. If the equation has no real solutions, write no real solutions.
3. x^2 − 5 + 4 = 0
4. x^2 + 7 + 12 = 0
put the following equation in slope intercept form: 3x - 2y = 14
7^-5 times 7^3 equals what, I need help asap please
The length of a rectangle is 5 cm longer than its width. find the width given that the area is 36cm
6x – 2y = 10 2x + 3y = 51 solving the first equation above for y gives:
What is a population?. a population is the set containing all the people or objects whose properties are to be described and analyzed by the data collector.
b. a population is a set of data.
c. a population is the set of all the properties that can be assigned to any people or objects in a given sample.
d. a population is a group that exhibits characteristics typical of those possessed by the target sample?
The term population is the set containing all the people or objects whose properties are to be described. Hence, option (a) is correct.
What is Population?A community is a distinct group of people, creatures, or other objects that can be recognized for the purposes of data gathering and analysis by at least one shared trait.
The majority of the time, data is collected from samples in order to learn more about huge populations. For instance, market researchers might randomly contact a small percentage of the town's subscribers to major carrier services who were born between 1980 and 2004 if they wanted to obtain representative statistics for Millennial consumers of mobile phones who did not have a landline in New York City (the population).
To know more about Population:
https://brainly.com/question/27991860
#SPJ5
Use a calculator to find the approximate value of sin-1( 0.655).
Answer:
Radian = 0.7142
Degree = 40.92°
Step-by-step explanation:
Given: [tex]\sin^{-1}(0.655)[/tex]
Let, [tex]y=\sin^{-1}(0.655)[/tex]
It is inverse trigonometry function. We have to use calculator to find angle of trigonometry.
The value of y in two form radian or degree
Using calculator to find the value of y
In radian,
[tex]y=0.7142[/tex]
In degree,
[tex]y=40.92^\circ[/tex]
Hence, The value of [tex]\sin^{-1}(0.655)[/tex] in radian 0.7142 and in degree 40.92°
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!! What is the simplified form of the expression (3x^7/2)^6 (x^2)^6
A. x^33
B. 3x^29
C. 729x^29
D 729x^33
4 students ran for class president. In the elction, Mario got 40% of the votes. Jazmyne got 35% of the votes, Arturo got 10%,and Rachel got 60 votes. How many students voted?
A bag contains 8 blue marbles 5 red marbles and 2 orange marbles , Carolina picks a marble from the bag at random and returns it to the bag and makes a second random selection . What is the probability that two blue marbles were selected