Answer:
18.8 ft
20.8 ft
Step-by-step explanation:
Given that :
Dimension of rectangular patio:
13 feets * 15 feets
To double the area of The patio :
2 * initial. Area
Initial Area = area of rectangle = Length * width
Initial area = 13 * 15 = 195ft²
New area of patio = 2 * 195 ft² = 390 ft²
To obtain the new area, the length and width of patio increased in equal amount:
Let the Increment = x
Hence,
(length + x) * (width + x) = 390
(13 + x) * (15 + x) = 390
195 + 13x + 15x + x² = 390
195 + 13x + 15x + x² - 390 = 0
x² + 28x - 195 = 0
Using the quadratic equation solver to save computation time :
The roots are :
X = - 33.773 or 5.773
Dimension can't be negative, hence,
x = 5.773
New dimension :
(length + x) = 13 + 5.773 = 18.8 ft
(width + x) = 15 + 5.773 = 20.8 ft
H E L P m e P L E A S EEEEE
Answer:
the answer is gonna be B
Barb is looking at internet service plans. A local company offers a one month service plan for $39.95 for a two month service plan for $68.97 dollars how much would Barb save in 2 months if she only got two month plan instead of two one month plans enter?
Answer:
Barb would save $10.93 in 2 months if she only got two month plan instead of two one month plans.
Step-by-step explanation:
First, you need to determine the amount that Barb will pay with the one month service plan in 2 months:
$39.95*2= $79.9
Now, you need to calculate the difference between both plans:
$79.9-$68.97=$10.93
According to this, the answer is that Barb would save $10.93 in 2 months if she only got two month plan instead of two one month plans.
what is the explicate formula for -5,-8,-11
Grace is comparing cell phone plans. A prepaid phone plan costs $0.20 per minute and has no monthly fee. A contracted phone plan costs $50 per month and $0.02 per minute. How will the graphs of the monthly costs of the two cell phone plans compare where x represents minutes purchased in a month?
Answer:
B
Step-by-step explanation:
The contracted phone plan will have the same steepness and a higher y-intercept.
Answer:
B
Step-by-step explanation:
UHHHHH guys so it turns out that this is a review for tomorrow bc we have a test tmr and my teacher is going over all the answers. BUT, i did promise a brainliest, a follow , a thank u, AND a shoutout and thats what i'm gonna do.
Answer:
your going to do super good and get %100
Step-by-step explanation:
Answer:
Did you ace it? %100?
Step-by-step explanation:
L
The cost of 3 pounds of strawberries
is $6.57. What is the constant of
proportionality that relates the cost in
dollars, y, to the number of pounds of
strawberries, x?
A 3
B
6.57
C 2.19
D
Not here
help please lol it has to be one of the answer choices btw
Answer: A
Step-by-step explanation: Hi
Can someone help me solve number 1-8? Plzzz I really need help!!!!!!!
Answer:
1.) x = 1
2.) x = -30
3.) x = -2
4.) x = 15
Sorry I have to work on other stuff but I did half of them for ya
Step-by-step explanation:
Nathan is opening a savings account that has a 10% simple interest rate. He deposits $75 in the account. After 5 years, he will have $112.50 in his account. How many more dollars would Nathan earn after 5 years with a 10% compounded interest rate?
Answer:
Dollars earned after 5 years = $45.79
Step-by-step explanation:
Given that:
Initial money deposited in account = $75
Time for which the money is deposited = 5 years
Interest rate = 10%
Nature of interest = Simple Interest
Amount after 5 years = $112.50
To find:
Total money earned after 5 years if the interest is compounded ?
Solution:
Formula for amount if the interest is compounded annually:
[tex]A =P(1+\frac{R}{100})^T[/tex]
Where P is the principal amount (initial money)
R is the rate of interest
T is the time
Putting all the values:
[tex]A =75\times (1+\frac{10}{100})^5\\\Rightarrow \bold{A = \$120.79}[/tex]
Total more money earned or the interest after the compounding nature =
[tex]A - P[/tex] = $120.79 - $75 = $45.79
HELP PLZZ!!! I'LL GIVE BRAINYLEST!!!!!!! I BEEGG YOUU!!!! ANY THING!! PLZ GET THIS RIGHT!!!! 10 POINTS!!!!!!
Simplify: (x to the power of 2 plus 3x - 4) plus (2x to the power of 3 mines 2x plus 5)
A. 2x to the power of 3 plus x to the power of 2 plus x plus 1
B. 3x to the power of 5 plus x plus 1
C. 3x to the power of 3 plus x plus 1
D. 2x to the power of 3 plus x to the power of 2 plus x - 9
Answer:
A. 2x to the power of 3 plus x to the power of 2 plus x plus 1
Step-by-step explanation:
[tex]2x^3+x^2+x+1[/tex]
Answer:
Step-by-step explanation:
(x^2+3x-4)+(2x^3-2x+5)
2x^3+x^2+x+1 so A
lamont is trying to determine how many $5 and $10 bills he needs to make $300 in total he has 35 bills. If x represents the number of $5 bills he has and y represents the number of $10 bills use the graph below to determine how many of each bill he has
Answer: 10 $5 bills, and 25 $10 bills.
Step-by-step explanation:
Let's define the variables:
F = number of $5 bills.
T = number of $10 bills.
We know that he wants to make $300 in total, then we have:
F*$5 + T*$10 = $300
And we also know that in total there are 35 bills, then:
F + T = 35.
So we have the system of equations:
F*$5 + T*$10 = $300
F + T = 35
To solve this, the first step is isolate one of the variables in one of the equations, i will isolate F in the second equation to get:
F = 35 - T
Now we can replace that in the other equation, and get:
(35 - T)*$5 + T*$10 = $300
Now we can solve this equation for T.
$175 - T*$5 + T*$10 = $300
T*$5 = $300 - $175 = $125
T = $125/$5 = 25
and:
F = 35 - T = 35 - 25 = 10
Then he has:
10 $5 bills, and 25 $10 bills.
PLEASE HELP ASAP ILL GIVE BRAINLIEST FOR THE RIGHT ANSWER!!!!
which of the lines graphed has a slope of 1 and a y-intercept of -3?
Answer: The attached image (Graph 4) is the correct graph.
Step-by-step explanation:
1. Find the graph with the point (0, -3), the y-intercept. This eliminates all but two graphs.
2. Out of the two graphs you have narrowed down the options to, choose the graph with the positive slope (slope of 1). Since graph 3 has a negative slope amd graph 4 has a positive slope and still satisfies the correct intercept, the 4th graph is the correct option.
Does the equation y=x/2
represent a proportional relationship?
Answer:
Yes
Step-by-step explanation:
y=.5x
Answer:
Yes, y=x/2 is a proportional relationship.
Step-by-step explanation:
As x increases, y increases too.
Para el bazar del colegio Lucía prepara 2 hl de canelazo y los vende en vasos de 210 ml de capacidad. ¿Cuántos vasos de canelazo completos puede vender Lucía? A. 848 B. 952 C. 1032 D. 1252 rapidoo xfa
Answer:
C. 1032
Step-by-step explanation:
Please Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
I NEED PART C QUICK
Triangle PQR is transformed to triangle P′Q′R′. Triangle PQR has vertices P(8, 0), Q(6, 2), and R(−2, −4). Triangle P′Q′R′ has vertices P′(4, 0), Q′(3, 1), and R′(−1, −2).
Plot triangles PQR and P′Q′R′ on your own coordinate grid.
Part A: What is the scale factor of the dilation that transforms triangle PQR to triangle P′Q′R′? Explain your answer. (4 points)
Part B: Write the coordinates of triangle P′′Q′′R′′ obtained after P′Q′R′ is reflected about the y-axis. (4 points)
Part C: Are the two triangles PQR and P′'Q′'R′' congruent? Explain your answer. (2 points)
30% of 60 is what number?
A. 15
B. 30
C. 18
D. 40
Answer:
18
Step-by-step explanation:
30x60=1800
1800/100=18
Answer:
18
Step-by-step explanation:
30% of 60 is the same thing as 30/100=x/60
After that, we cross multiply which gets us with 100x=1800
We divide and get x=18
So the right number choice is C. 18
I hope this helped!!
Add or subtract write your Answer in simplest form
Answer:
The answer is 1 and 1/4
The second option
Step-by-step explanation:
Hopes this helps
PLEASE GUYS HELP ITS DUE TONIGHT
Answer:
20. AB = 42
21. BC = 28
22. AC = 70
23. BC = 20.4
24. FH = 48
25. DE = 10, EF = 10, DF = 20
Step-by-step explanation:
✍️Given:
AB = 2x + 7
BC = 28
AC = 4x,
20. Assuming B is between A and C, thus:
AB + BC = AC (Segment Addition Postulate)
2x + 7 + 28 = 4x (substitution)
Collect like terms
2x + 35 = 4x
35 = 4x - 2x
35 = 2x
Divide both side by 2
17.5 = x
AB = 2x + 7
Plug in the value of x
AB = 2(17.5) + 7 = 42
21. BC = 28 (given)
22. AC = 4x
Plug in the value of x
AC = 4(17.5) = 70
✍️Given:
AC = 35 and AB = 14.6.
Assuming B is between A and C, thus:
23. AB + BC = AC (Segment Addition Postulate)
14.6 + BC = 35 (Substitution)
Subtract 14.6 from each side
BC = 35 - 14.6
BC = 20.4
24. FH = 7x + 6
FG = 4x
GH = 24
FG + GH = FH (Segment Addition Postulate)
[tex] 4x + 24 = 7x + 6 [/tex] (substitution)
Collect like terms
[tex] 4x - 7x = -24 + 6 [/tex]
[tex] -3x = - 18 [/tex]
Divide both sides by -3
[tex] x = 6 [/tex]
FH = 7x + 6
Plug in the value of x
FH = 7(6) + 6 = 48
25. DE = 5x, EF = 3x + 4
Given that E bisects DF, therefore,
DE = EF
5x = 3x + 4 (substitution)
Subtract 3x from each side
5x - 3x = 4
2x = 4
Divide both sides by 2
x = 2
DE = 5x
Plug in the value of x
DE = 5(2) = 10
EF = 3x + 4
Plug in the value of x
EF = 3(2) + 4 = 10
DF = DE + EF
DE = 10 + 10 (substitution)
DE = 20
Marissa has 2.5 hours of swim practice per day. She practices 4 days per week. The swimming season is 14 weeks long.
How many total hours of swimming practice does Marissa have in one swimming season?
Answer: 140
Step-by-step explanation: 2.5 x 4 = 10
10 x 14 = 140
you multiply the amount of hours she swims for 4 days and then multiply those hours by 14 because the swimming season is 14 weeks long.
plzzzzz help! will mark Brainliest!!!
Answer:
No
Step-by-step explanation:
Genius
Answer:
yes i belive.
Step-by-step explanation:
Parallel lines are denoted by what symbol ?
Answer:
its like this relly close lls like this ll
since the two lines dont touch.
Perpendicular lines have the upside down T things since the two lines will intersect at 90° angles.
So parallel is ll
and perpendicular is T
Step-by-step explanation:
The distance between two cities on a map is 3.25 centimeters. The map used a scale in which 1 centimeter represents 20 kilometers. What is the actual distance between these two cities in kilometers?
Answer:
65kmStep-by-step explanation:
Step one:
given
we are told that the distance is 3.25cm on the map
the scale is 1cm to represent 20km
Required
the actual distance
Step two
if 1cm represent 20km
then 3.25cm will represent x km
cross multiply we have
x=2.35*20
x= 65km
Hence, the actual distance between these two cities in kilometers 65km
Chad is getting balloons for his grandmothers birthday party. He wants each balloon string to be 6 feet long. At The party store, string is sold by the yard. If chad wants to get 43 balloons, how many yards of string will he need?
Answer: 258 yards
Step-by-step explanation:
Since Chad wants each balloon string to be 6 feet long, and Chad wants to get 43 balloons, the number of yards of string that he will need will be calculated by multiplying 43 by 6. This will be:
= 43 × 6
= 258 yards of string
A new PlayStation is on sale for $375. Sales tax of $8% is added on to the price. What will be the final cost?
Answer:
$405.00
Step-by-step explanation:
375×1.08=$405.00
Find the slope of the line that passes through (10, 5) and (7, 4).
Answer: M (slope) = -1 / -3 = 0.3
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
Slope=y1-y2/x1-x2
Where (X1,y1) is (10, 5) and (X2,y2) is (7, 4).
So
Slope= 5-4/10-7
= 1/3
So slope is 1/3
3.1 + (9.2 -4.7)=
What does this equal
Answer:
7.6
Step-by-step explanation:
Answer:
7.6
Step-by-step explanation:
hope it helps
PLZ HELP ME ONLY NUBMER 11 THATS IT A=-4 AND B=3 PLZZZ HELP MEEE
Answer:
1
Step-by-step explanation:
2*-4+3*3
-8+9
1
Brainliest pleaseeeee
Answer: i think you just substitute: 2(-4)+3(3) = 1
Step-by-step explanation:
If 4 is a root of f(x), which of the following is a factor of f(x)?
(x+4)
neither (x+4) nor (x-4)
(x-4)
(x+4) and (x-4)
Given:
4 is a root of f(x).
To find:
A factor of f(x).
Solution:
We know that, if c is a root of a function f(x), then (x-c) is a factor of f(x).
In the given problem, 4 is a root of f(x).
So, we have c=4.
By using the above property we can say that, (x-4) is a factor of function f(x).
Since, (x-4) is a factor of function f(x), therefore, the correct option is C.
which equation represents the same line as the points in the table
Answer:
The answer for this is the 2nd one
Divide 500g into the ratio 2:3
Answer:
200g:300g
Step-by-step explanation:
2+3=5
500g/5=100g
100x2=200g
100x3=300g