Answer= 13 years
Solution,
Let the age of grandmother be y
Let the age of grandson be X
according to question,
9x=y ( equation I)
X+56=y( equation ii)
Substituting,
9x=x+56
or,9x-x=56
or,8x=56
or,X=56/8
X=7
Again,
Age of grandson after 6 years
=7 years+6 years
=13 years
Hope it helps
Good luck on your assignment
The age of her grandson after 6 years is 13 years.
What is the algebraic equation?A mathematical statement in which two expressions are set equal to each other is known as an algebraic equation. A variable, coefficients, and constants are commonly included in an algebraic equation.
How to solve this problem?Let the age of the grandmother be x and the age of her grandson be y.
Since the grandmother is 9 times older than her grandson, we can write
x = 9y ...(1)
Since the grandmother is 56 years older than her grandson, we can also write
x = y + 56 ...(2)
We have to solve these two algebraic equations.
Equating the L.H.S. of (1) and (2),
9y = y + 56
i.e. 9y - y = 56
i.e. 8y = 56
i.e. y = 56/8 = 7
So, now the age of her grandson is 7 years.
Therefore the age of her grandson after 6 years is 6+7= 13 years.
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sin(x+16degrees) = cos(2x+14 degrees) what is x
Answer:
X=20°
Step-by-step explanation:
SinX+16°+Cos2X+14°=90
3x+30=90
3x=60
x=20°
i need help quick please help me thnak you
Answer:
28 numbers
Step-by-step explanation:
There is a distance of 81 between -0.5 and 80.5. Divide this number by 3, since you are only counting every third number and you will get 27, but you need to count the first number, which has been excluded. Add one more to get the answer, 28.
James is one-third the age of his father Steve. The sum of their ages is 68. How old is James and Steve?
Plese explain in simpler words and use 'x' as the variable..
the one who answers first will get brainliest..
Answer: James + Steve = 68. = 17*3 = 51. Answer. Steve is 51 years old.
Please help!!!!!! !!!!!!!!!!!!!!!!
Answer:
Yes
Step-by-step explanation:
Yes because there is only 1 y value per x value.
Answer:
yes
Step-by-step explanation:
There is a one to one correspondence and this will pass the vertical line test
What is the exponential regression equation that fits these data? X y 1 3 2 8 3 27 4 85 5 240 6 570 A. Y = 2.93(1.03x) B. Y = 38.73x2 – 168.58x + 158.1 C. Y = 102.54x – 203.4 D. Y = 1.03(2.93x)
Answer:
D) [tex]Y = 1.03(2.93^x)[/tex]
Step-by-step explanation:
To Find the exponential regression equation that fits these data, we substitute the value of x into the equation and see if it produces the value of y.
x: 1 2 3 4 5 6
y: 3 8 27 85 240 570
A. Y = 2.93([tex]1.03^x[/tex])
Substituting x = 1 to get
Y = 2.93(1.03) ≅ 3
Substituting x = 2 to get
Y = 2.93([tex]1.03^2[/tex]) ≅ 3.1
Option A is wrong
B. Y = 38.73x² – 168.58x + 158.1
Substituting x = 1 to get:
Y = 38.73(1)² – 168.58(1) + 158.1 = 28.25
Therefore option B is wrong
C. Y = [tex]102.54^x - 203.4[/tex]
Substituting x = 1 to get:
Y = 102.54 – 203.4 = -100.86
D) [tex]Y = 1.03(2.93^x)[/tex]
Substituting x = 1 to get:
[tex]Y = 1.03(2.93^1)=3[/tex]
Substituting x = 2 to get:
[tex]Y = 1.03(2.93^2)=8.84[/tex]
Substituting x = 3 to get:
[tex]Y = 1.03(2.93^3)=25.9[/tex]
Option D is the closest, it is the correct option
You have $6 and earn $0.50 for each cup of orange juice you sell. Write an equation in two variables that represent the total amount A (in dollars) you have after selling j cups of orange juice.
A=
Can you help me plz ASAP
Answer:
A = 0.50j + 6.......u r correct
he started with 6....and he is selling each cup (j) for 0.50
so lets say he sold 10 cups...u would sub in 10 for j
A = 0.50(10) + 6
A = 5 + 6
A = 11......and he would have $ 11
What is the value of y?
O A. 30°
OB. 40°
O C. 50°
O D. 60°
For any triangle, the three angles always add to 180
(y+10)+(2y)+(50) = 180
3y+60 = 180 ... combine like terms
3y+60-60 = 180-60 ... subtract 60 from both sides
3y = 120
3y/3 = 120/3 .... divide both sides by 3
y = 40
3a+2b=9 and 8x+6y=60
what is the value of 9a+6b
what is the value of 4x+3y
Answer:
The Value of 9a+6b is 27. and the value of 4x+3y is 30.
Explanation
1)
3a+2b=9
multiplying both by side by 3
or, 3×( 3a+2b)=3×9
Hence, 9a+6b=27
2)
8x+6y=60
Dividing both by side by 2
or, (8x+6y)/2 = 60/2
Hence, 4x+3y=30
What is the equation of the following line? Be sure to scroll down first to see all answer options.
Answer:
so the answer is f, the last one
state what additional information is required in order to know that the triangles are congruent by AAS
Answer:
The last one
Step-by-step explanation:
Since we already know an angle and a safe are equal we just need one more pair of corresponding angles
Answer:
the fourth one.
Step-by-step explanation:
that is angle vut is greater than or equal to angle ktu or angle utv is greater than or equal to angle tuk.
Which statement is true about the right traingle
Answer:
Its 90 degrees
idk if this helps but i hope it does :)
Step-by-step explanation:
What is the y-intercept of the line described by the equation y=3x+5
Answer:
[tex]5[/tex]
Step-by-step explanation:
[tex]y=mx+b[/tex]
Where [tex]b[/tex] is the y-intercept.
[tex]y=3x+5[/tex]
[tex]b=5[/tex]
Answer:
-3 is the slope
5 is the intercept
Name the Secondary Consumers/Carbivores,Omnivores
Answer:
secondary consumers: foxes, owls, and snakes. Wolves, crows, and hawks
carnivores: Lion, Wolf, Leopard, Hyena, Polar Bear, Cheetah, Giant Panda.
omnivores: Bears, pigs, racoons, opossums, hedgehogs, skunks, squirrels, rats, and mice
hope this helped!
What is the square root of 25?
Show your work
Answer:
5
Step-by-step explanation:
The square root of a number is basically that number multiplied by itself.
for example, the square root of 4 is 2 because 2 x 2 is 4
the square root of 25 is 5 because 5 x 5 = 25
Answer:
root 25 = 5
Step-by-step explanation:
because when we will do the prime factorisation then at your left side 5x5 will come aand at right side will come so, 5x5 = 25 .
please mark my answer as a brainliest answer and follow me
please help with question tagged below
Answer:
1/3
Step-by-step explanation:
3×x=1
x= 1/3
Just need help with question A
Answer:
Y = 0
Step-by-step explanation:
Y = -1/2 x²
To find y-intercept, substitute X = 0
Solve the equation for y
Y = 0
Can someone please help me
Answer:
1) Yes
Product of Means = Product of Extremes
4 × 21 = 7 × 12
84 = 84
2) No
Product of Means = Product of Extremes
2 × 2 = 3 × 3
4 ≠ 9
3) No
Cross multiplying
3 × 6 = 4 × 8
18 ≠ 32
4) Yes
Cross Multiplying
1 × 25 = 5 × 5
25 = 25
Answer:
Step-by-step explanation:
1) 4 : 7 ? 12 : 21
If product of mean is equal to product of extremes, then they are proportion
Product of extremes = 4*21 = 84
Product of mean = 7 * 12 = 84
Product of extremes = Product of mean
They are in proportion
4 : 7 :: 12 : 21
2) 2 : 3 ? 3: 2
Product of extremes = 2*2 = 4
Product of mean = 3*3 = 9
Product of extremes ≠ Product of mean
They are not in proportion
2 : 3 ≠ 3 : 2
3) 3/4 ? 8/6
3 : 4 ? 8:6
Product of extremes = 3 * 6 = 18
Product of mean = 4 * 8 = 24
Product of extremes ≠ Product of mean
They are not in proportion
3 : 4 ≠ 8 : 6
4) 1/5 ? 5/25
1:5 ? 5 : 25
Product of extremes = 1 * 25 = 25
Product of mean = 5 * 5 = 25
Product of extremes = Product of mean
They are in proportion
1 : 5 :: 5 : 25
find the total surface area of this cylinder. Give yor answer to 1 decimal place. Award is brainliest answer
Answer:
2261.95
Step-by-step explanation:
A=2πrh+2πr2
Answer:
2261.9
Step-by-step explanation:
the other users answer was correct, but not with 1 decimal place
Lowe Senior High School’s hockey team won 12, lost 5, and tied 3 of their first 20 games this season. Which outcome is most likely for the team’s next game? Explain your reasoning. 30 points!!
10 ft
8 ft
8.9 ft
4 ft
Calculate the perimeter of this figure
to the nearest tenth.
P = [? ] ft
In February, Alec had 1,544 visitors to his website. In March, he had 1,386 visitors to his website. What is the percentage decrease of the number of visitors to Alec's website from February to March? If necessary, round to the nearest tenth of a percent.
a. 11.4%
b. 12%
c. 10.2%
d. 89.9%
Answer:
option c. 10.2%
Step-by-step explanation:
Number of visitors to Alec's website in February = 1,544
Number of visitors to website in March = 1,386
Number of decreasing members = 1544 - 1386 = 158 visitors
decrease percentage = [tex]\frac{\text{number of decreasing members}}{\text{number of previous members}}\times 100[/tex]
= [tex]\frac{158}{1544}\times 100[/tex]
= 10.233 ≈ 10.2%
percentage decrease of the number of visitors is 10.2%.
Option c. is the answer.
Find the value of. (3° + 4 -¹) × 2²
Answer:
[tex]5[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
factorise 2x^2 -x-21
Answer:
(x + 3) × (2x - 7)
Step-by-step explanation:
2x² - x - 21
Write as a difference
2x² + 6x - 7x - 21
Factor the expressions
2x × (x + 3) - 7 (x + 3)
Factor the expression
(x +3) × (2x - 7)
Which graph represents an odd function? On a coordinate plane, a function has two curves. The first curve is in quadrants 2 and 3 and has a minimum value of (negative 1, negative 3). The curve intersects the x-axis at (negative 2, 0) and goes to (0, 0). The second curve is in quadrants 1 and 4 and has a minimum value of (1, negative 3). The curve starts at (0, 0) and intercepts the x-axis at (2, 0). On a coordinate plane, a curved line crosses the x-axis at (negative 4, 0), (0, 0), and (4, 0). On a coordinate plane, a v-shaped function opens up. The function goes through (0, 2), has a vertex at (2, 0), and goes through (5, 3). On a coordinate plane, a curve has a maximum point at (0.5, 1) and a minimum point at (2, 0). The curve goes through points (0, 0) and (3, 4).
Answer:
On a coordinate plane, a curved line crosses the x-axis at (negative 4, 0), (0, 0), and (4, 0)
Step-by-step explanation:
An odd function is symmetrical about the origin. It will satisfy the relation ...
f(-x) = -f(x)
Of the given points, the set that is symmetrical about the origin is found on the 3rd graph:
(-4, 0), (0, 0), (4, 0)
Answer:
B on edge
Step-by-step explanation:
took the test
What force is exerted on a test charge of 3.25 E−5 C, if it is placed in an electric field of magnitude 1.40 E4 N/C? Remember to identify all data (givens and unknowns), list equations used, show all your work, and include units and the proper number of significant digits to receive full credit.
Answer:
0.46 newtons
Step-by-step explanation:
For these kinds of problems, you can employ the formula
[tex]E=\dfrac{F}{q}[/tex]
where E represents the field in N/C, F represents the force in newtons, and q represents the charge in coulombs. You can therefore set up the following equation:
[tex]1.4\times 10^4 N/C=\dfrac{F}{3.25\times 10^{-5}C} \\\\[/tex]
[tex]F=(1.4\times 10^4 N/C) \times (3.25 \times 10^{-5} C)=4.6 \times 10^{-1} N[/tex] (following sig figs)
Hope this helps!
Answer:
your answer is 1.50 E4 N/C
Step-by-step explanation:
The polynomial 6x2 + x − 15 has a factor of 2x − 3. What is the other factor?
Answer:
Step-by-step explanation:
If you want to know what you have to multiply by 5 to get a product of 70, you would divide 70 by 5 to get that other number. Because 70 divided by 5 is 14, you know that the other number is 14. It's the same when you have one factor of a polynomial and want to know the other. You divide your polynomial by the one factor to get to the other factor, because when you multiply them together, you get back the polynomial you started with. Like when we found that 70 / 5 = 14, we know that when we multiply 14 by 5 we'll get the 70 we started with.
Long division of polynomials will be difficult to illustrate within this forum, but I'll do my best. What we want to do is divide [tex]6x^2+x-15[/tex] by 2x - 3:
__________
2x - 3 | [tex]6x^2+x-15[/tex]
First divide the 6 x-squared by the 2x (forget about the rest of what's inside the box for now, and also forget about the -3 for now. We'll deal with them later). 2x goes into 6 x-squared 3x times, because 2x * 3x = 6x-squared, right? So the 3x goes above the 6x-squared:
3x_______
2x - 3 | [tex]6x^2+x-15[/tex]
Now we multiply the 3x by the 2x and put that product under the 6x-squared. The product is 6x-squared (which will always be the case in division that they will subtract each other away. That's why we do this!)Then multiply the 3x by the -3 which is -9 and put that under the "+x" term:
3x________
2x - 3 | [tex]6x^2+x-15[/tex]
6x^2-9x
At this point we change the signs and have
3x
2x - 3 | 6x^2 + x - 15
- 6x^2 +9x
And then we add and bring down the -15:
3x
2x - 3 | 6x^2 + x - 15
- 6x^2 + 9x
10x - 15
Now do the division process again, this time dividing 10x by 2x (again the -3 will wait). 10x divided by 2x is 5 (because 2x * 5 = 10x, right?). The 5 goes above the +x on top:
3x + 5
2x - 3 | 6x^2 + x - 15
- 6x^2 + 9x
10x - 15
Now we wwill multiply the 5 by both the 2x and the -3 and subtract:
3x + 5
2x - 3 | 6x^2 + x - 15
- 6x^2 + 9x
10x - 15
- 10x + 15
Notice that when we subtracted, the 10x changed from + to -, and the -15 changed to a positive. The remainder is 0.
That tells us that the other factor of the polynomial is 3x + 5. You could also have done synthetic division, but it would be more difficult than this to illustrate because you would be dividing by 3/2. :/
Calculate the surface area and the volume of the cylinder.
Pls!! Show how you got the surface area and volume
Step-by-step explanation:
Surface area of a cylinder:
A = (2 x pi x r x h) + (2 x pi x r^2)
(2 x pi x 5 x 25) + (2 x pi x 5^2)
785.3981 + 157.0796 = 942.4777cm^2
Volume of cylinder:
V = pi x r^2 x h
pi x 5^2 x 25 = 1963.4954cm^3
Factor the polynomial: x(6x - 1) – 3(6x - 1)
O A. -3x(6x - 1)
O B. 3x(6x - 1)
O C. (6x - 1)(x - 3)
O D. (6x - 1)(x + 3)
Answer:
C.
Step-by-step explanation:
x(6x - 1) – 3(6x - 1) = (6x - 1)(x - 3)
The factor of the polynomial x(6x - 1) – 3(6x - 1) is (6x -1) (x - 3).
The correct option is C.
To factor the polynomial x(6x - 1) - 3(6x - 1), we can observe that both terms have a common factor of (6x - 1). We can factor out this common factor using the distributive property.
The given expression can be rewritten as:
x(6x - 1) - 3(6x - 1)
Now, we can factor out the common factor (6x - 1):
(6x - 1)(x) - (6x - 1)(3)
Notice that we have (6x - 1) as a common factor in both terms. We can combine the two terms using this common factor:
(6x - 1)(x - 3)
Therefore, the factored form of the polynomial x(6x - 1) - 3(6x - 1) is (6x - 1)(x - 3).
Option C: (6x - 1)(x - 3) is the correct answer.
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for all the values of x,
f(x)=x²+3 g(x)=2x-1
a) find fg(2)
b) find gf(2)
Answer:
12 and 13
Step-by-step explanation:
(a)
To evaluate f(g(2)), evaluate g(2) then use the value obtained to evaluate f(x)
g(2) = 2(2) - 1 = 4 - 1 = 3, then
f(3) = 3² + 3 = 9 + 3 = 12
--------------------------------------------
(b)
To evaluate g(f(2)), evaluate f(2) the use the value obtained to evaluate g(x)
f(2) = 2² + 3 = 4 + 3 = 7, then
g(7) = 2(7) - 1 = 14 - 1 = 13
4. A school has 100 windows. On a cool day 95 of the windows were closed. Which decimal represents the amount of windows that were OPEN?
Answer:
0.05
Step-by-step explanation:
100 windows is 1.00
95 windows is 0.95
5 = 0.05