Answer:
There are many ways to interpret if whether or not a system of equations has solutions or not. Here is one way that is most ideal for most, if not, all equations: using graphs.
If the graphs of the set of equations do NOT intersect, then there are no solutions (because no x or y value will ever make both equations true)If the graphs of the set of equations DO intersect at one point, then ONLY that one point will make both equations true. (One solution)If the graphs of the set of equations are identical on the graph, then there are infinite solutions that make both equations true.The area of a rectangular pool is (x + 17x + 72) square meters. The dimensions of the pool are the factors of this polynomial. There is a 3-meter-wide concrete walkway around the pool. Write expressions to represent the dimensions of the outside border of the walkway. (Lesson 21.1)
Answer:
The walkway around the pool makes the entire outer dimensions (outer border)
x+9+2x3=x+15 and x+8+2x3
hope this helps! could i get brainliest plz?
The expressions to represent the dimensions of the outside border of the walkway is (x + 12) meters for the length and (x + 11) meters for the width.
Given area : [tex]x^2 + 17x + 72[/tex]
The factored form of the polynomial is:
[tex]x^2 + 17x + 72[/tex] = [tex]x^2 + 8x+9x+72[/tex]
= x(x+8)+9(x + 8)
=(x + 9)(x + 8)
So, the dimensions of the pool are (x + 9) meters and (x + 8) meters.
The length of the walkway = 3 meters wide
So, the length is added to each side of the pool.
Dimensions of the outside border of the walkway:
Length: (x + 9) + 3 = x + 12 meters
Width: (x + 8) + 3 = x + 11 meters
Therefore, the dimensions of the outside border of the walkway are
(x + 12) meters for the length and (x + 11) meters for the width.
Learn more about polynomials here:
https://brainly.com/question/11536910
#SPJ4
plz help giving brainlest
Answer: 17
Step-by-step explanation:
You simply jusr divide the area with the lenght given
Answer:
u=17kilometres
Step-by-step explanation:
area of parllelogram =base×height
289km²=17×u
u=289/17=17km
what is 15 less than or equal to -5x
Answer:
less than tell me if i'm wrong
please help asap!! (Marking brainliest)
Answer this using a graphing method!
Step-by-step explanation:
5x-2y=10
x-y=-1
Addition method
multiply the second equation by -2 and add it to the first one
5x-2y=10
-2x+2y=2
Total 3x=12
Divide by sides by 3
x=4
Now multiply the second equation by -5 and add it to the first one
5x-2y=10
-5x+5y=5
3y=15
Divide both sides by 3
y=5
Solutions are x=4 and y=5
2nd method
if x-y=-1, so x=y-1
bring the value of x in the first equation
5(y-1)-2y=10
5y-5-2y=10
put the similar term together
3y=15
Divide both sides by 3
y=5
now bring the value of y in one of the equation
x-y=-1
so x-(5)=-1
x=-1+5
x=4
Solutions are x=4; y=5
i need help on this one its hard for me :(
Answer:
6
Step-by-step explanation:
diameter is double the length of the radius.
d= 2r
d=2(3)
d=6
Answer:
The answer for it is B. 6.
line y=3x-1 is transformed by a dilation with a scale factor of 2 and centered at (3,8) what is the lines image in an equation form
Answer: 4)y=3x-1
Step-by-step explanation:
The y value relates to the dilatation center, which the line image's equation will be [tex]y = 3x - 1[/tex]. In standard form, [tex]y = mx + b[/tex] y-intercept is represented by the letter b.
Center of dilatation calculation:[tex]y = 3x - 1[/tex] is the equation of a line.
If somehow the line is dilatable by a factor of 2 and centered at [tex](3, 8)[/tex]. To begin with, we must determine the y-value for which [tex]x = 3[/tex].
[tex]y = 3(3) - 1\\\\y = 9 - 1\\\\y = 8[/tex]
This equation of the line image will be [tex]y = 3x - 1[/tex], because the y value is comparable to the center of dilatation.
Learn more about the center of dilation of line here:
brainly.com/question/16808482
how do you find the range of 0.3 0.9 0.2 0 0.7 0.9 0.4
*ill mark brainliest*
A mathematician is analyzing an email message. Out of the first 100 characters, the letter e appears 13 times. The email message is 1,100 characters in length. Based on the information, how many of the characters should be a letter e?
Sixty percent of the water from the full bottle holding 1.5 L was used to fill 5 similar cups leaving no remainder. How much water does 1 cup hold ?
Answer:
0.9 of a Liter for the bottle's volume
0.18 L for each cut
180 mL for each cup.
Step-by-step explanation:
60/100 * 1.5 = 0.6 * 1.5 = 0.90
There were 5 cups
The volume of the bottle was 0.9 liters
1 cup held 0.9 / 5 = 0.18 L
1 Liter = 1000 mL
0.18 L = 1000 *0.18 = 180 mL
PLEASE HELP IM DESPRATE AND I CANT GET IT
Answer:
1
Step-by-step explanation:
1. 1
if you find -4 on the x-axis, the y value is 1.
what is the 3rd page?
1) If x= 4.2 and y = 5, what is the value of the expression
below? *
13 points
х+бу
69.2
15.2
72
34.2.
Un
Answer:
Step-by-step explanation:
y-x=0.7
y=x+0.7, so lets plug in that into the expressions instead of y
1)
(y-x)=
x+0.7-x=
x+0.7+(-x)=
x+(-x)+0.7=
x-x+0.7=
0.7
2)
(x-(x+0.7))/((x+0.7)-x)=
(x-x+0.7)/(x+0.7-x)=
(x-x+0.7)/(x+0.7+(-x))=
(x-x+0.7)/(x+0.7+(-x))=
(x-x+0.7)/(x+(-x)+0.7)=
(x-x+0.7)/(x-x+0.7)=
0.7/0.7=
1
Tina had 20 minutes to do a three-problem quiz.She spent 9 3/4 minutes on question A and 5 1/2 minutes on question B. How much time did she have left for question C
Answer:
3636363
Step-by-step explanation:
Find the speed of 100 kilometres and 2 hours
(COMPLETE SOLUTION)
Answer:
50 km per hour
Step-by-step explanation:
distance = 100km
time= 2hrs
average speed 100/2
50 km per hour
Dracula's bill at the restaurant was $54.83. He left a tip of 15%.
What was the tip amount (nearest hundredth)?
PLEASE ANSWER QUICK :,(
15% as a decimal is 0.15
Multiply the amount of the bill by the percentage:
54.83 x 0.15 = 8.22
The tip was $8.22
Answer:
[tex]\huge\boxed{ \$ \ 8.22}[/tex]
Step-by-step explanation:
Bill = $54.83
Tip = 15 % of 54.83
[% means out of 100, "of" means to "multiply"]
Tip:
= 15% of 54.83
= 15 / 100 * 54.83
= 0.15 * 54.83
= $ 8.22
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807The time it takes 5th graders to complete a particular mathematics problem are Normally distributed with a mean 2 minutes and a standard deviation of 0.8 minutes.
a. Find the probability that a randomly chosen 5th grader will take more than 2.5 minutes to complete the problem.
Answer
0.266
Step-by-step explanation:
x ~ N(2,0.[tex]8^{2}[/tex])
P(x>2.5)
=P(Z>[tex]\frac{2.5-2}{0.8}[/tex])
=p(z >0.625)
=1- Φ(0.625)
= 1 - 0.734
=0.266
Hope this helps please make me brainliest!
hello, can you please walk me through this problem
Answer:
x = 6, z=88
Step-by-step explanation:
The angle 92 and z lies on a straight line.
Therefore,
[tex]z + 92 = 180 \\ z = 180 - 92 = 88[/tex]
Same goes for Angle Z and 5x+62.
[tex]z + 5x + 62 = 180 \\ 88 + 5x + 62 = 180 \\ 150 + 5x = 180 \\ 5x = 180 - 150 = 30 \\ x = 30 \div 5 = 6[/tex]
the sum of the age of a boy and his sister is 32 years. The boy is 6 years older than his sister. How old is his sister?
Answer:
26 is the correct answer
Answer:
His sister is 10?
Step-by-step explanation:
Because if he's 16 then she's 10
A pencil holder shaped like a triangular prism is shown in the picture. The height of the pencil holder is 12 cm, and the volume of the pencil holder is 216 ㎤.
What is the area of the base
of the pencil holder in
square centimeters?
Answer:
18cm
Step-by-step explanation:
Answer:
18 cm
Step-by-step explanation:
pls help. thank you!!!!
Answer:
where is the question plsss tell
and send me ok
How many real fifth roots does -0.00243 have?
Answer:
I get 3 so i don't know
Step-by-step explanation:
Hiiiioo can someone please help me with this!❤️❤️:)
Answer:
7.4 in
Step-by-step explanation:
The diagonal divides the rectangle into 2 right triangles.
The diagonal is the hypotenuse and the length l is a leg ( adjacent) to angle
Using the cosine ratio in the right triangle
cos22° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{l}{8}[/tex] ( multiply both sides by 8 )
8 × cos22° = l , then l ≈ 7.4 in ( to the nearest tenth )
Pls help me somebody plzzz
Answer:
the answer is
X + 40 + 155 =180
PLEASEEEEEE ANSWERRRRR
Answer:
Chad is incorrect
Step-by-step explanation:
Since A is in quadrant 2, we know the x must be negative and y is positive. Therefore, if we add a negative sign in front of both x and y, x will become positive, and y will become negative. However, in the 3rd quadrant, both x and y must be negative, which is not the case here. Hence, Chad is wrong.
Make a histogram from this frequency table. 8- 10-12 12-14 14-16 NBA Shoe Sizes Frequency 10 3 5 10 8
Tools
Question 11
The table shows the relationship between y, the cost to rent a boat, and the amount of time the boat is rented,
Boat Rental Costs
Time, X Cost, v
(hours) (dollars)
1
3
5
80
7
104
Which graph best represents the relationship between x and y shown in the table
The record high temperature in January was 18 degrees. The record low temperature was –7 degrees. What is the amount of change between the high and low temperatures
Answer: [tex]25^{\circ}[/tex]
Step-by-step explanation:
Given
The highest temperature recorded is [tex]18^{\circ}[/tex]
The lowest temperature recorded is [tex]-7^{\circ}[/tex]
The amount of change between the high and the low temperatures is
[tex]\Rightarrow 18-(-7)=18+7\\\Rightarrow 25^{\circ}[/tex]
6. A bag contains 240 counters.
Huan removes 15% of the counters.
Esther removes 54 counters.
What is the percentage change in the number of
counters in the bag?
Answer:
48
Step-by-step explanation:
The number of dimes is 3 more than twice the number of nickels.
The total value of the coins is $7.05.
Answer:
d;lkjhgfdsalkjhgfdsoiuytrmnbvkjhgfuytfduytretuioiuytrdnmnbv
Step-by-step explanation:poiuytrewkjhgfd9uyt
Please can someone help me with this question
Answer:
4.21 or 4.22 or 4.23 or 4.24
hope this helps
A shop has a slae that offers 20% off all prices On the final day they reduce all the sale prices by 25% Linz buys a radio on the final day Work out the overall percentage reduction on the price of the radio
Answer:
40%
Step-by-step explanation:
We would use an example
assume the price of the radio is 100
After the initial price reduction, it would be worth (100 - 20%) 80% of the price
0.8 x 100 = 80
After second price reduction it would be worth (100 - 25% ) 75% of the price
0.75 x 80 = 60
Price change = (new price after all the discounts / original price) - 1
(60/100) - 1 = -0.4