Given:
Sum of ages of brother and sister = 15
Product of their ages = 54
To find:
How old is the older one between the two of them?
Solution:
Let x be the age of brother and y be the age of sister.
Sum of ages of brother and sister = 15
[tex]x+y=15[/tex]
[tex]x=15-y[/tex] ...(i)
Product of their ages = 54
[tex]xy=54[/tex]
[tex](15-y)y=54[/tex] [Using (i)]
[tex]15y-y^2=54[/tex]
[tex]0=54-15y+y^2[/tex]
Splitting the middle term, we get
[tex]54-15y+y^2=0[/tex]
[tex]54-9y-6y+y^2=0[/tex]
[tex]9(6-y)-y(6-y)=0[/tex]
[tex](6-y)(9-y)=0[/tex]
Using zero product property, we get
[tex](6-y)=0\text{ and }(9-y)=0[/tex]
[tex]y=6\text{ and }y=9[/tex]
If [tex]y=6[/tex], then using (i), we get
[tex]x=15-6[/tex]
[tex]x=9[/tex]
If [tex]y=9[/tex], then using (i), we get
[tex]x=15-9[/tex]
[tex]x=6[/tex]
Therefore, the age of older one is 9, the age of younger one is 6 and the difference between their ages is 3.
Ming says that 0.24 > 14 because 0.24 = 24. Which best explains Ming's error?
24 < 14
0.24 = 24 tenths, not 24
Cannot compare fractions and decimals
0.24 = 24 hundredths, not 24
Answer:0.24 = 24 hundredths, not 24
Step-by-step explanation:
What equation will you use to solve this problem.
Answer:
The answer is D! Sorry if I get the answer wrong.
Step-by-step explanation:
Hilary measured the depth of the snow in her front yard for 7 days. An equation for Hilary's data is y = − 0.5 x + 8 . Let x represent the number of days, and y represent the depth of the snow in inches.
Answer:
4.5 inches
Step-by-step explanation:
Given:
y = -0.5x + 8
Where,
x = the number of days
y = the depth of the snow in inches
Find y when x = 7
y = -0.5x + 8
= -0.5(7) + 8
= -3.5 + 8
= 4.5
y = 4.5 inches
The depth of the snow in Hillary's front yard for 7 days is 4.5 inches
As you can tell I’m back to help my idiotic Brother just do the first 3 ty
1:plus 4 2: times 2 3:minus 10
if 4g-2g = 30 what does g symbol
If you are asking for the value of g, it is as follows.
4g-2g=30
2g=30
g=15
Therefore, the g=15.
Answer:
15
Step-by-step explanation:
4g-2g = 30
2g = 30
g = 15
The length of a rectangle flower bed is 5ft longer than its width. A sidewalk with a width of 3ft surrounds the bed. If the total area of the bed and sidewalk is 546ft^2, what are the dimensions of the flower bed ?
Answer:
[tex]W=15ft[/tex]
[tex]L=20ft[/tex]
Step-by-step explanation:
From the question we are told that:
Length of Bed [tex]L=5+W[/tex]
Width of sidewalk [tex]W_s=3ft[/tex]
Area of the bed and sidewalk [tex]A_t= 546ft^2[/tex]
Generally the equation for Area of the bed and sidewalk[tex]A_t[/tex] is mathematically given by
[tex]Area=L*B[/tex]
[tex]A_t=((3+3)+L)*((3+3)+W)[/tex]
Therefore
[tex]546=((3+3)+(5+W))*((3+3)+W)[/tex]
[tex]0=((6+(5+W))*((6)+W)-546[/tex]
[tex](11+W)*(6+W)-546=0[/tex]
[tex]W^2+17B-480=0[/tex]
Solving the Quadratic Equation
[tex]W=15ft[/tex] (Using only positive root)
Generally the Length L is mathematically given by
[tex]L=5+15[/tex]
[tex]L=20ft[/tex]
5.25% sales tax of $35.90
Expand and simplify (x – 2)(2x + 3)(x + 1)
Answer:
Step-by-step explanation:
(x-2)(2x+3)(x+1)
=x(2x+3)-2(2x+3)(x+1)
=(2x^2+3x-4x-6)(x-1)
=(2x^2-x-6)(x-1)
=2x^2(x-1)-x(x-1)-6(x-1)
=2x^3-2x^2-x^2+x-6x+6
=2x^3-3x^2-5x+6
( x - 2 )( x + 1 )( 2x + 3 ) =
( x^2 - x - 2 )( 2x + 3 ) =
2x^3 - 2x^2 - 4x + 3x^2 - 3x - 6 =
2x^3 + ( -2 + 3 )x^2 + ( - 4 - 3 )x - 6 =
2x^3 + x^2 - 7x - 6
A freezer was set at 0 C, sophia reset it to 8.5 C. Would the temperature in the freezer likey rise or drop? By how many degrees?
Answer:
Step-by-step explanation:
1) the temperature rise, because 8.5 is C higher than 0 C
2) 8.5 - 0 = 8.5
So it rised by 8.5 degrees ( to know how many dgrees is is rised subtract the second number from the first number)
Kayla has a bowl of beads that contains 42 yellow beads, 28 green beads, 12 white beads, and 18 red beads. She randomly draws a bead from the bowl.
The probability of Kayla not drawing a yellow or a green bead is ______%. The probability of Kayla drawing a red or a green bead is _______%.
[tex]\huge\pink{Answer}[/tex]
7/10 and 23/50
Answer:
1. 30%
2.46%
Step-by-step explanation:
The probability of Kayla not drawing a yellow or a green bead is 30 %. The probability of Kayla drawing a red or a green bead is 46 %.
Correct for plato! :)
What is £10-2x £1.44
I think the answer is 7.12
I need answer Immediately pls!!!!!!!!
Step-by-step explanation:
write what you know
the flat fee doesnt chamge no matter how much he uses his data
the charge for every gigabyte does change
Ex: if he uses 3 gigabytes of data in one month, that's
5 + 5 + 5 = $5 x 3 = $15
So taking this into consideration youd write the following
$41.50 + $5x = $52.50 (since this is what we want to equal)
then solve for x
The graph shows two lines, A and B.
A graph is shown with x- and y-axes labeled from 0 to 6 at increments of 1. A straight line labeled A joins the ordered pair 2, 6 with the ordered pair 6, 2. Another straight line labeled B joins the ordered pair 0, 3 with the ordered pair 4.5, 6.
Part A: How many solutions does the pair of equations for lines A and B have? Explain your answer.
Part B: What is the solution to the equations of lines A and B? Explain your answer.
Answer:
(3, 5)Step-by-step explanation:
See attached
Part AThere is one solution as lines intersectPart BSolution is the intersection point, which is (3, 5)Answer:
Part A: There is one solution because the intersect point is the answer and there is only one intersect point.
Part B: The solution is (3,5) because (3,5) is the intersect point for the equation and the answer is going to be the intersect point.
Step-by-step explanation:
What is the percent for 82?
3. Graph the following exponential function and
label the asymptote. (9 pts)
y = - 3(2)
(x, y)
-2
-1
X
Х
2012
Answer:
y=3(2)
(x:y)
-3-2÷(-2-(-1)
=-5÷2
PLZZZZZZZZZZZZ
She had a coupon for 15% off. The tax rate was 7.75%. If the subtotal was $35, how much money did Ms. Morel actually pay in total (after the discount and tax)? *
Answer:32.05
Step-by-step explanation:
SO after tax the total would be $37.71.With original price $37.71 and 15% discount,
Price after discount: $32.05
You saved: $5.66
The Spanish Club has 40 members, 5 girls and 35 boys. What is the ratio of
girls to boys in the Spanish Club?
O A. 1:4
B. 1:7
C. 7:1
Answer:
B. 1:7
Please give me brainliest, thank you!
Step-by-step explanation:
Information given and needed:
- 40 members
- 5 girls
- 35 boys
Solve:
girls to boys
5 to 35
(You can now simplify)
1 to 7
Answer:
B. 1:7
Answer:
1:4
Step-by-step explanation:
Find the distance between (-7, -2) and (13, -23)
Answer:
5,030?
Step-by-step explanation:
iq scores are normally distributed with a mean of 100 and a standard deviation of 15. What percentage of people have an IQ between 130 and 100 a)13.5% b)47.5% c)95% d)27%
Answer:
"approximately 47.%"
Step-by-step explanation:
Using the statistical function normalcdf( on my old TI-38 calculator:
normalcdf(100,130, 100, 15) returns the fraction 0.477,
so the final answer here is "approximately 47.%"
In a Triangle,2angles are 56°and 45°,then find the third angle
Answer:e answer is 79
Step-by-step explanation:
to find the third angle subtract the angles from
180
=56°+45°
=99
third angle=180°-99°
=81°
what's equivalent to (9 7/8 + 2 4/5) - 1/2
Answer:
12.175
Step-by-step explanation:
also
Step-by-step explanation:
C) 9 7/8 - (- 2 4/5) - (- 1/2) =
= 9 7/8 + 2 4/5 + 1/2 (F)
D) - (- 9 7/8 + 2 4/5) - 1/2) =
= 9 7/8 - 2 4/5 - 1/2 (F)
E) 9 7/8 - (- 2 4/5 - 1/2) =
= - 7/8 + 2 4/5 + 1/2 (F)
Answer:
12 7/40
Step-by-step explanation:
9 7/8 = 9 35/40
2 4/5 = 2 32/40
add: 11 67/40
67/40 = 1 27/40
11 + 1 27/40 = 12 27/40
12 27/40 - 20/40 = 12 7/40
What is the measure of XZ?
A. 36°
B. 144°
C. 72°
D. 18°
Answer:
C.72
Step-by-step explanation:
angle XYZ is an inscribed angle and arc XZ is the arc it intercepts
If you didn't know the measure of an inscribed angle is equal to half the measure of its arc it intercepts or an intercepted arc equals twice the measure of its inscribed angle
Hence, angle XYZ * 2= arc XZ
If Angle XYZ = 36
then 36 * 2 = arc XZ
36 * 2 = 72
hence the answer is C
The measure of arc is 72 degree, the correct option is C.
What is an arc?An arc is formed by two radii and their intercepted part on the circumference.
According to the theorem of arc and subtended angles, the central angle subtended by the arc is double the angle subtended by it on the circumference.
The angle subtended by arc XZ on the circumference is 36 degree.
The angle subtended by the arc at the center is = 2 * 36 = 72 degree.
The arc subtended by the arc at the center of the circle is the measure of the arc.
To know more about Arc
https://brainly.com/question/18741430
#SPJ5
Please answer this for me correctly. THANK YOU!!
Answer:
The answer is <MQL.
I need help really fast !!.
Answer:
Hello! Your answer would be, C)
Step-by-step explanation:
Hope I helped! Ask me anything if you have more questions! Have a nice mourning! Hope you make an 100%! -Amelia♥
Which best defines a pioneer species?
O a species that enters an area and makes its own food
O a species that enters a community that is stable and balanced
O the first species to populate an uninhabited area
O the first species that eats other organisms in an area (I know it's not)
Answer:
O the first species to populate an uninhabited area
Can anyone help me with this problem
Answer:3^2
Step-by-step explanation:
I think it is 3 with exponent of 3 because if its asking for side length of 9 then 3 x 3=9
Tell whether the dilation is a reduction or an enlargement.
5. triangle with C, P, P, Q, Q, R, R
6. triangle with C, X, X, Y, Y, R, R
7. triangle with C, R, R, P, P, Q, Q
Answer:
Step-by-step explanation:
can you explain
Answer:
fid6iydydydyfhfyoocycyocovuouc
please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
x=34
Step-by-step explanation:
Again we are given an angle's ( x to be more specific ) opposite side length and the adjacent side length so we will use trig ratio tangent
Recall that tan = opposite over hypotenuse
[tex]tan(x)=\frac{29}{43}[/tex]
* multiply each side by the inverse of tan ( [tex](tan)^-^1[/tex] )
[tex]tan(x)*tan^-^1=x\\tan^-1*\frac{29}{43} =33.99645915\\x=33.99645915[/tex]
Finally we round to the nearest tenth of a degree and get that x = 34
What is 14.235 rounded to the nearest tenth?
Answer:
14.2 because 3 is less than 5 so you round down.
i think
14.35 rounded to the nearest tenth is 14.2.
Hope this helps! have a great day!
what is the area of the triangle.
Answer:
A=hbb= 2
Step-by-step explanation:
your welcome plz brainlist
Answer:
21.75u2
Step-by-step explanation:
first use pythag for this
use rule c2=b2+a2
reverse the rule so that
b2=c2-a2
b2=100-81
b2=19
b=4.35
how u got the height of the triangle
use formula bh/2
10x4.35/2
=43.5/2
=21.75u2