Answer:
45 and 5 are the dimensions of the block of land.
Step-by-step explanation:
2(x + y) = 100, x + y = 100/2, y = (50 - x)
xy = 225
x (50 — x) = 225
0 = x^2 — 50x + 225
0 = (x — 45) (x -5)
45 and 5 are the roots of the above polynomial, thus they are the sides or dimensions of the block of land.
Stan's, Mark's, and Wayne's ages are consecutive whole numbers. Stan is the youngest, and Wayne is the oldest. The sum of their ages is 111. Find their ages.
Let Stan's age be x, Mark's age be (x + 1) & Wayne's age be (x + 2).
According to the conditions,⇒x + (x + 1) + (x + 2) = 111
⇒x + x + x + 1 + 2 = 111
⇒3x + 3 = 111
⇒3x = 111 - 3
⇒3x = 108
⇒ x = 108/3
⇒ x = 36
Hence,Stayn's age will be x = 36 years.Mark's age will be (x + 1) = 36 + 1 = 37 years.Wayne's age will be (x + 2) = 36 + 2 = 38 years.▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄You join an aerobics class at the local gym. The
cost is $3 per class plus $10 for the initial mem-
bership fee.
17. Write an equation that shows the relationship
between the number of classes n you attend
and the amount you pay p.
18. Evaluate the equation for n = 1, 2, 5, 8, and
10. Organize your results in an input-output
table.
19. Draw a line graph to represent the data in the
input-output table.
Answer:
#17: p=3n+10
Step-by-step explanation:
#18:
input output
1 13
2 16
5 25
8 34
10 40
#19: for the line graph, plot the points (1, 13), (2, 16), (5, 25), (8, 34), and (10, 40), and draw a straight line through the points.
how many litters is in a gallon
Answer:3.785 liters
Step-by-step explanation:
Answer:
1 gal = 3.78541
Step-by-step explanation:
A quick search will do it.
PLEASE HELP!
Write an absolute value equation with the solution -1 and 5
Write an absolute value equation with no solution
the absolute value of -1 is 1 and the absolute value of 5 is 5 since its still positive. I could be wrong so double check with someone else
the absolute value of -1 is 1 and the absolute value of 5 is 5 since its still positive.
4. (k? - 4k+7)+(k? +9k – 3)
ON SA
Answer:
7k + 4
Step-by-step explanation:
I don't know what ON SA means, but here's how I solved it:
(k - 4k + 7) + (k + 9k – 3)
(-3k + 7) + (10k - 3)
(-3k + 10k) + (7 - 3)
7k + 4
In the figure, angle DEF is 34x + 11, angle DEG is 2x + 24, and angle GEF is 3x + 12. The value of x is ___.
Answer:
25/29
Step-by-step explanation:
34x+11=2x+24+3x+12
34x+11=5x+36
34x-5x=36-11
29x=25
x=25/29
178X718DIVIDED BY 20x12+478-289divided by 12
Answer:
77136.3166667
Step-by-step explanation:
Hope it helps
Jaishree studies for 5 hours daily. She devotes 2 hours of her time for science and mathematics. How muþch time does she devote for other subjects ?
Let Time devoted for others be x
[tex]\\ \rm\Rrightarrow x+2=5[/tex]
[tex]\\ \rm\Rrightarrow x=5-2[/tex]
[tex]\\ \rm\Rrightarrow x=3h[/tex]
Answer:
3 hours
Step-by-step explanation:
All we need to do here is subtract to find out how many hours she has left to devote to other subjects.
5 - 2 = 3
Best of Luck!
find the midpoint of the segment with the given endpoints. (2,9) and (-8,-8)
Answer:
The midpoint is (-3, 1/2)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the x coordinates of the endpoint and divide by 2
(2+-8)/2 = -6/2 = -3
To find the y coordinate of the midpoint, add the y coordinates of the endpoint and divide by 2
(9+-8)/2 = 1/2
The midpoint is (-3, 1/2)
Assume that I=E/(R+r) prove that 1/I=R/E+r/E ?
Explanation:
If [tex]I=\frac E{R+r}[/tex] then taking the reciprocal gives
[tex]\frac1I=\frac1{E/(R+r)}=\frac{R+r}E=\frac RE+\frac rE[/tex]
In a party of 60 people, 35 had vanilla ice-cream, 35 had chocolate ice-cream. All the people has at least one ice cream then how many of them had i) both vanilla and chocolate ice-cream ii) only Vanilla ice-cream iii) Only chocolate ice-cream
Step-by-step explanation:
[tex]its \: your \: answer \: I \: hope \: it's \: help \: you \: \\ dear[/tex]
When commercial aircraft are inspected, wing cracks are reported as nonexistent, detectable, or critical. The history of a particular fleet indicates that 70% of the planes inspected have no wing cracks, 25% have detectable wing cracks, and 5% have critical wing cracks. Five planes are randomly selected. Find the probability that
a. one has a critical crack, two have detectable cracks, and two have no cracks.
b. at least one plane has critical cracks.
Answer:
b. at least one plane has critical cracks.
Last one for the night
Answer:
C. 2/3, 0.66, 66 2/3%
Step-by-step explanation:
There are 36 inches in a yard.
24/36 (simplify) = 2/3
Which symbol correctly compares the two fractions? Use >, <, or =. Select the correct choice from the drop down. 2/4 Choose... 3/8
Answer:
3/8
Step-by-step explanation:
What is 7x-4(3x-2)=18
If f(x)=3x^2-2x+4 and g(x)=5x^2+6x-8,find (f-g) (x)
Answer:
-2x^2-8x+12
Step-by-step explanation:
f(x)=3x^2-2x+4
g(x)=5x^2+6x-8
(f-g) (x)= 3x^2-2x+4 - (5x^2+6x-8)
Distribute the minus sign
(f-g) (x)= 3x^2-2x+4 - 5x^2-6x+8
Combine like terms
=-2x^2-8x+12
Answer:
[tex] - 2( {x}^{2} - 4x + 6)[/tex]
Step-by-step explanation:
[tex] f(x)=3x^2-2x+4 \\ g(x)=5x^2+6x-8 \\ (f-g) (x) = 3 {x}^{2} - 2x + 4 - (5 {x}^{2} + 6x - 8) \\ = 3 {x}^{2} - 2x + 4 - 5 {x}^{2} - 6x + 8 \\ = - 2 {x}^{2} - 8x + 12 \\ = - 2( {x}^{2} - 4x + 6)[/tex]
If y yaries inversely as x and y = 18 when x = 4, what is y when x = 24?
Step-by-step explanation:
hopefully it is clear and understandable
:)
find the midpoint of R(5,3) and S(-4,6)
Answer:
(1/2, 9/2)
Step-by-step explanation:
Using the midpoint formula
[tex]\left(\frac{-4+5}{2},\:\frac{6+3}{2}\right)[/tex]
=[tex]\left(\frac{1}{2},\:\frac{9}{2}\right)[/tex]
Answer:
Mid point is (0.5, 4.5)
Step-by-step explanation:
Formular:
[tex]{ \bf{mid - point = ( \frac{x_{1} + x _{2} }{2}, \: \frac{y_{1} + y_{2} }{2} ) }}[/tex]
x1 is 5
x2 is -4
y1 is 3
y2 is 6
[tex]{ \sf{mid - point = ( \frac{ 5 + ( - 4)}{2}, \: \frac{3 + 6}{2} ) }} \\ \\ = { \sf{( \frac{1}{2} , \: \frac{9}{2} )}} \\ \\ = ({ \sf{0.5, \: 4.5)}}[/tex]
9 gal 2 qt to quarts
Answer:
38 us liquid quarts
Step-by-step explanation:
A line segment on a number line has its endpoints at -9 and 6. Find the coordinate of the midpoint of the segment.
A. 1.5
B. -1.5
C. 2
D. -3
Answer:
B -1.5
Step-by-step explanation:
please give brainliest if you can, have a good day<3 :)
Answer:
-1.5
Step-by-step explanation:
what is a perimeter of triangle
Answer:
a+b+c is the formula for calculating the perimeter of a triangle:)
Step-by-step explanation:
6 pounds of apples cost $12 how much do 8 pounds cost?
Answer:
8=$16
Step-by-step explanation:
6=$12
divide both sides by 6
1=$2
so one pound equals $2 so if 6 pounds equals $12 just add 2 pounds to 6 to make it 8 pounds. you added two pounds so that means you have to add $4 to the total witch will give you
8=$16
solve
pls need help
pls answer now
k/3 + 4 - 5k = -2k / · 3
k + 12 - 15k = -6k
k - 15k + 6k = -12
-8k = -12 / : (-8)
k = 12/8
k = 3/2 ← the end answer
Answer: A)
Find the perimeter of this rectangle.
53 in.
16 in.
[?]
inches
Answer:
138
Step-by-step explanation:
perimeter of rectangle=2(l+b)
=2(53+16)
=2(69)
=138
lucy made 3 cakes that each weighed 32 ounces. how many pounds of cake did lucy make
Answer:
6 pounds
Step-by-step explanation:
1 pound = 16ounces
32ounces*3cakes= 96ounces/16ounces=6pounds
Stella and brain each heat up a small pizza.stella cuts her pizza into 4 equal slices. Brain cuts his pizza into 8 equal parts,Stella eats two pieces of her pizza Brian eats four pieces of his pizza do they eat the same amount of pizza? PLEASE ANSWER!!!!
Answer:
They are the same amount of pizza.
Step-by-step explanation:
Stella cut her pizza into 4 pieces. If she eats 2 pieces, then she has eaten half of her pizza. Likewise, Brian cut his pizza into 8 pieces. If he eats 4 pieces, then he has eaten half of his pizza. Therefore, they have both eaten the same amount of pizza.
Model:
Combine Like Terms
5. Which expression is equivalent to 30x-5y-15x+10 ?
20xy
- 15x-5y+10
10xy+10
15x-5y+10
Answer:
(15x -5y + 10)
Step-by-step explanation:
After you combine like terms and factor the expression that's what you get :)
what did one function say to the other function?
Answer:
2，3
Step-by-step explanation:
for number 1
Translate the sentence into an equation.
The sum of 5 times a number and 6 is equal to 7
PLS HELP SHOW ME HOW TO DO THIS
A polynomial function h(x) has a zero of x = 2 – 5i with a multiplicity of one. Certain values of h(x) are given in the following table.
x h(x)
–5 0
–2 3
–1 –1
1 2
4 0
7 6
10 5
If every real x-intercept of h(x) is shown in the table and each has a multiplicity of one, what is the degree of h(x)?
A. 2
B. 3
C. 4
D. 5
Using function concepts, it is found that the degree of the function is: 4, option C.
----------------------------------------
The x-intercepts of a function are the values of the function for which the output is zero.The degree of a function is the sum of the multiplicities of the x-intercepts of the function.If a function has a complex root, it means that the conjugate is also a root.----------------------------------------
When [tex]x = -5, h(x) = 0[/tex], thus, x = -5 is one x-intercept.When [tex]x = 4, h(x) = 0[/tex], thus, x = 4 is one x-intercept.There is also a x-intercept(zero) at [tex]x = 2 - 5i[/tex]. There will also be a x-intercept at the conjugate, which is [tex]x = 2 + 5i[/tex].Thus, there are 4 x-intercepts, all with multiplicity 1, which means that the degree of h(x) is 4, option C.A similar problem is given at https://brainly.com/question/10539060