A rectangle has a length that is 9 inches less than twice its width. The area of the rectangle is 180 square inches.
a. Write an equation that represents the situation.
b. Find the length and width of the rectangle.
c. Find the perimeter of the rectangle.
pls help lols
Answer:
Step-by-step explanation:
a) Let the width = w
Two times its width = 2*w = 2w
9 inches less than 2w = 2w - 9
Length = 2w - 9
Area of rectangle = length *width = 180 square inches
(2w - 9 ) * w = 180
2w*w - 9*w = 180
2w² - 9w - 180 = 0
b) sum = -9
Product= -360
Factors = -24 , 15 {15 *[-24] = -360 and 15 + (-24) = -9 }
2w² - 9w - 180 = 0
2w² - 24w + 15w - 180 = 0
2w(w - 12w) + 15(w - 12) = 0
(w -12) (2w + 15) = 0
{Ignore 2w + 15 = 0 as measurements cannot be a -ve value}
w - 12 = 0
w = 12 inches
l = 2w -9
= 2*12 - 9
= 24 - 9
l = 15
length = 15 inches
Width = 12 inches
c) Perimeter = 2 *(length + width)
= 2*(15 + 12)
= 2 * 27
= 54 inches
Nick had 14 jelly beans in a bag. His mother put a handful of jelly beans in the bag. When Nick counts his jelly beans, he discovers he now has 28 of them. Which of the following equations will help Nick solve for the number of jelly beans, j, that his mom put in the bag?
14j = 28
14 + 28 = j
14 + j = 28
j − 14 = 28
Answer:
14 + j = 28
Step-by-step explanation:
I hope this helps :)
Use what you know about transformations of the quadratic functions. How would the equation of an exponential function change to have an x-intercept? Write an example of an exponential function with an x-intercept. Explain your reasoning.
A. If a negative number were subtracted from the exponential function it would move down the y-axis creating an x-intercept; y = 3 • 2^x − (−5).
B. If a number were added to the exponential function it would move up the y-axis creating an x-intercept; y = 3 • 2^x + 5.
C. If a number were added to the exponential function it would move down the y-axis creating an x-intercept; y = 3 • 2^x + 5.
D. If a positive number were subtracted from the exponential function it would move down the y-axis creating an x-intercept; y = 3 • 2^x − 5.
Answer:
D. If a positive number were subtracted from the exponential function it would move down the y-axis creating an x-intercept; y = 3 • 2^x −5.
Step-by-step explanation:
please, someone, help I don't have enough time I need help because this is my last one and I can't find it on the web without finding people making an answer just for the points and no actual help
Answer: A) The relationship is proportional because the ratio of m to k is constant.
______________________________________________________
Step-by-step explanation:
17.699 ÷ 11 = 1.609
41.834 ÷ 26 = 1.609
&
54.706 ÷ 34 = 1.609
______________________________________________________
The three equations above equal 1.609 making the relationship between m & k constant.
If you were to plot these coordinates on a graph you would see a straight line.
When one fraction is multiplied by another, can the answer be greater than 1?
Answer:
Yes
Step-by-step explanation:
For example, 7/4 x 2/3=14/12=7/6. 7/6>1.
Answer:
It matters on the fraction! for example:
Ste
The dataset below has an outlier. First, determine the outlier. If the outlier is excluded how does it affect the mode?
12, 19, 19, 20, 21, 22, 22, 23, 24, 26, 27, 28, 29, 30, 32, 35, 48
A. The outlier is 48 and it decreases the mode if it is excluded.
B. The outlier is 12 and it increases the mode if it is excluded.
C. The outlier is 12 and it has no effect on the mode if it is excluded.
D. The outlier is 48 and it has no effect on the mode if it excluded.
the answer is C because if we get rid of 12 it will have no effect on the mode and it will not change mode. the mode will remain the same.
if I helped mark me the brainest!!
Answer:
D
Step-by-step explanation:
D. because 48 is much bigger than the other numbers and 12 isn't that much smaller that 19 that 48 is bigger than 35 and because there is only one 48 it won't affect the mode
The mode is 19 or/and 22
Help please im begging i dont wanna fail
Answer:
6
3/5
Step-by-step explanation:
The total of all books is 1.
For Fiction to be 3 times more than Biographies.
Biographies have to have same probability to be chosen as poetry.
So to solve for the probability to choose Fiction is 3 × 1/5 = 3/5
The number of fiction books is solved with 10 × 3/5 = 6
What type of function is described by the equation y=3+x?
Which statement is true about a sample created using stratified random sampling?
A) The first member on the list of names in the population is chosen and every 10th after that, cycling through the whole list.
B) Members of the sample are chosen by drawing names from a hat containing the names of all members of the population.
C) Names of all people in the population are alphabetized and then chosen by flipping a coin.
D) Each member of the sample is chosen at random from two or more groups in the population.
Answer:
d
Step-by-step explanation:
because
Answer:
D
Step-by-step explanation:
# carry on learning pipols
Solve the given equation.
w + 23 = 75
Answer: 52
Step-by-step explanation: 75 - 23 = 52, therefore, x = 52
PLS HELP I REALLY CAN'T FAIL!!! GIVING BRAINLIEST!
am I right or wrong plz help
you are corret i hope
i helped
Can someone tell me where to put the points
Answer:
points at (2,6) (3,9) (7,21) (8,24)
Step-by-step explanation:
Answer:
..
Step-by-step explanation:
each line is 1, so in between 0 and 5, the numbers 1-4 are there.
Coordinate place (x,y), the x is the horizontal or just the one going left and right. Y places are the numbers going up and down.
Take (2,6), we go to the origin (0,0) and we go 2 to the right since its in the x place, then we go from the point where we moved and go up 6 since its a y.
does that make sense?
If x < 0 and y < 0, where is the point (x, y) located?
Answer:
Step-by-step explanation:
You could do negative numbers because no positive number is less than 0, as you know.
So, it would have to be a negative one because they are to the left of zero on a number line, meaning less than. A positive number on a number line is usually to the right of zero, meaning more than.
For instance, x could equal -1 and y could equal -4.
It would be in Quadrant 3.
Hope this helps! :)
Is Brainliest an option?
...
What is the area of this face plz help!!!!
Answer:
The image is blurry on my screen
Step-by-step explanation:
22. Consider the diagram below.
Which relationship describes the marked angles?
A. consecutive interior angles
B. Consecutive exterior angles
C. Corresponding angles
D. Alternate exterior angles
E. Alternate interior angles
Answer:
E) Alternate interior
Step-by-step explanation:
Joyce goes walking on a track shaped like the solid line in the diagram shown. Find the total area enclosed by the track.
A. 2,956.5 square meters
B. 2,250 square meters
C. 3,309.75 square meters
D. 2,826 square meters
Answer:
A
Step-by-step explanation:
πr^2
π * 15^2 = 706.858347
75 X 30 = 2250
706.858347 + 2250 = 2956.858347
The total area enclosed by the track is 2956.5 square meters
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
The given figure has one rectangle and two semicircles
The area of rectangle is length times width
Area = length × width
=75×30
=2250 square metres
Area of circle is πr²/2
=3.14×15²/2
=706.5/2
=353.25
As there are two semicircles = 2×353.25
=706.5
Total area is 2250+706.5 which is 2956.5 square meters
Hence, the total area enclosed by the track is 2956.5 square meters
To learn more on Three dimensional figure click:
https://brainly.com/question/2400003
#SPJ2
Landon ran 5 miles 25 out of a 30 days this month. What percent of days did he complete his 5 mile run? no files or download links please
Step-by-step explanation:
The answer is 83.33% as 25 divides by 35 and multiplying 100 is the answer
Fundamental Counting Principle (L2)
Answer:
16
Step-by-step explanation:
2^4
48. Calculate the value of c in the triangle below.
Answer:
17
Step-by-step explanation:
c = a^2 + b^2 = 15^2 + 8^2 = 17
the question is below
Answer:
320 kilometers
Step-by-step explanation:
You multiply 16 by 20 to get 320
Answer:
320 kilometers.
Step-by-step explanation:
How do the two temperatures compare? Complete the statements.
-0.9 is greater or less than
-1.2
-0.9°F is
Blank
-1.2°F.
Answer:
I think -0.9 is greater than -1.2
So the other guy is right too.
Step-by-step explanation:
help please i need this really bad
Answer:
c
Step-by-step explanation:
Answer:
it would be
c
think about the term quotient it's in the vocabulary for division.
The milligrams of aspirin in a person's body is given by the equation a=500*(3/4) ^t. where t is the number of hours since the patient took the medicine.
a. How much aspirin will be in the patient's body after two hours?
b. In the equation, what does the 500 tell us about the situation?
c. In the equation, what does the 3/4 tell us about the situation?
Answer:
Is it c
Step-by-step explanation:
I hope this helps
PLEASE HELP ASAP!! AWARDING BEST ANSWER!!
Answer:
Hi, there your answer will be y=2x-4
Step-by-step explanation:
Well finding the y-intercept you have to see what goes through the y-axis in this case it is -4
To find the slope you can do [tex]\frac{rise}{run}[/tex]
or you can use the slope formula which is
[tex]\frac{y2-y1}{x2-x1}[/tex]
In this case, I'll be using the slope formula I'll pick two coordinate which are (0,-4) and (3,2). I'll be plugging that in
[tex]\frac{2-(-4)}{3-0}[/tex]=[tex]\frac{6}{3}[/tex]
We will simplify [tex]\frac{6}{3}[/tex] which will equal to 2
Hope this helps :)
Which expression is NOT equivalent to 2a + 5 (b + 7a)?
A. A2a +5b + 35a
B. 2a + 12b
C. 5 (b) +5 (7a) + 2a
D. 5b +37a
Please mark me as brainlist plzzzzzz
Answer: Your final answer is D.
Step-by-step explanation:
2a+5(b+7a)
=2a+5xb+5x7b
=2a+5b+35a
=37a+5b
please answer, giving brainliest and 5 stars :)
Answer:
1. 108.375 2. 76.765625
Step-by-step explanation:
1. We have the s-value now, which is 4.25.
Plug it in to the equation for surface area:
6*(4.25)^2
6*4.25*4.25
Using a calculator, we get 108.375
2. Plug 4.25 in to the equation for volume:
(4.25)^3
4.25*4.25*4.25
Using a calculator, we get 76.765625
NOTE PUZZLE: IF YOU GET IT CORRECT I'LL GIVE BRAINLIEST:
Answer:
1. E. g.amer
2. I. 100
3. F.friends
4. J.ex.plore
5. B.first
6. C.br.eath
7. G.calm
8. A.chall.enges
9. H.stay
10. D.ha.ppy
A study shows that as the temperature decreases, the electric bill increases. Which graph best represents this situation?
Answer:
The only graph whose line is strait
Step-by-step explanation:
This graph represents the situation because energy bills will have a set amount of money which directly correlates with the amount of energy you use. When it gets cold you use more energy to keep you warm. As you use more energy your price rises at the same pace-thus a strait line.
Can someone please help me