What is the value of the expression 6x - y when x = 3 and y = 1? (5 points)
012
8
O 3
d
17
Answer:
the answer is 17
Step-by-step explanation:
6×3-1
= 17
A cylinder and a cone have the same volume. The cylinder has radius x and height y . The cone has radius 1/2x . Find the height of the cone in terms of y .
Answer:
height = 1/4y
Step-by-step explanation:
V(cylinder) = πr²h
V(cone) = πr²h ÷ 3
V(cyl) = πx²y
V(cone) = π(1/2x)²y which simplifies to be πx²y ÷ 4
πx²y = πx²y ÷ 4
if you divide each side by πx² you get:
y = y/4
height is 1/4y
factorise completely
a). 3xy - 9x
b). x² - 4
c). 2x² + 5y + 1
Answer:
a) 3x(y-3)
b) (x-2)(X+2)
Step-by-step explanation:
See the steps below:) You can also use the app photo math, you take a picture and it will give you the answer and explain the steps:)
Linda invested $12,500 in an
account that earns 4.5% interest,
compounded monthly. What is
the value of the account after
4 years? Round your answer to
the nearest cent.
Answer:
12500
Step-by-step explanation:
4.5 × 48=216.
12500 Plus 216= 12,716
The value of the invested money becomes $103393.20 after 4 years if the interest rate is 4.5% and compounded annually.
What is compound interest?It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
We can calculate the compound interest using the below formula:
[tex]\rm A = P(1+r)^t[/tex]
Where A = Final amount
P = Principal amount
r = annual rate of interest
t = How long the money is deposited or borrowed (in years)
We have in the question:
p = $12,500
r = 4.5% ⇒ 0.045
t = 4 years ⇒ 4×12 ⇒ 48 months
Put the above values in the formula, we get;
[tex]\rm A = 12500(1+0.045)^4^8[/tex]
A = 12500×8.27145
A = $103393.20
Thus, the value of the invested money becomes $103393.20 after 4 years if the interest rate is 4.5% and compounded annually.
Learn more about the compound interest here:
brainly.com/question/26457073
Which is not a solution of 5g - 6 => 24?
A. g=6
B. g=10
C. g. 20
D. g=-8
Answer:
A. g=6
Step-by-step explanation:
5g-6=24
5g=30
g=30/5
g=6
Answer:
D, g = -8
Step-by-step explanation:
5 (-8) - 6 => 24
-40 - 6 => 24
-46 is NOT greater than or equal to 24.
please help :),))))
Answer:
option 1
Step-by-step explanation:
The rate of increasing is the fastest in exponential functions.
Then comes powers and last logarithmic functions.
The order it increases at the fastest rate.
[tex]log < powers < exponential[/tex]
Suki rode her bike 6/7 mile. Claire rode her bike 1/3 mile. They want to compare how far they each rode their bikes using benchmark 1/2. Select the correct answer to describe how to solve the problem.
Answer:
6/7 > 1/2
1/3 < 1/2
Suki rode her bike a longer distance than Clarie
Step-by-step explanation:
Suki's distance = 6/7 miles
Compare with bechmark 1/2
6/7 and 1/2
Make the denominators same
(6*2)/(7*2) and (1*7)/(2*7)
12/14 and 7/14
12/14 is greater than 7/14
12/14 > 7/14
Therefore, 6/7 > 1/2
Clarie distance = 1/3 miles
Compare with bechmark 1/2
1/3 and 1/2
Make the denominators same
(1*2)/(3*2) and (1*3)/(2*3)
2/6 and 3/6
2/6 is less than 3/6
2/6 < 3/6
Therefore,
1/3 < 1/2
Compare Suki's distance with Clarie
compare 6/7 and 1/3
Make the denominators same
(6 * 3)/(7 * 3) and (1 * 7)/(3 * 7)
18/21 and 7/21
18/21 > 7/21
Suki rode her bike a longer distance than Clarie
Solve the linear systems using the substitution method. 2x-3y=-1 x=y+1
Please explain the steps too. Thank you. :)
Answer:
x =1 and y=-1
Step-by-step explanation:
2x - 3y=-1
x-y=1
there for ok there is a lot of steps i had to do so ill take a pic of it
and the big one is the first one
4x+2=-13 solve for x
Answer:
Solution given
4x+2=-13
subtract each term by 2
4x+2-2=-13-2
divide both side by 4
4x/4=-15/4
we get
x=-15/4
is a required answer.
Let's solve:
[tex]4x+2=−13[/tex]
Step 1: Subtract 2 from both sides.
[tex]4x+2−2=−13−2 \\ 4x = - 15[/tex]
Step 2: Divide both sides by 4.
[tex] \frac{4x}{4} = \frac{ - 15}{4} [/tex]
Answer:
[tex] \frac{ - 15}{4} [/tex]
A cupcake store manager believes that half of the cupcakes sold are vanilla and that the other half is equally divided between chocolate and funfetti. If the manager's belief is correct and 400 cupcakes are sold, how many would you expect to be funfetti
400 cupcakes in total
200 would be vanilla
so 100 would be chocolate and the remaining 100 should be funfetti
A: 100
A bakery sells ten different types of bread. The amount of cups of sugar in each bread
recipe is shown.
1
2
1
4
4
3
4
ili i
13
1
2
1
2
What is the mean amount of sugar in these recipes?
Answer:
3/4 cups
Step-by-step explanation:
Adding the fractions
1/4 + 1/2 + 1/4 + 3/4 + 1 + 1 1/2 + 1/2 + 1 3/4 + 1/2 + 1/2
And the the L.C.M to be 4
=30/4
=15/2
Mean = 15/2 ÷ 10
=15/2 × 1/10
3/4
What is the slope, m, and the y-intercept of the line that is graphed below?
Answer:
m=1 (0,3)
Step-by-step explanation:
m=1
slope is 1 because from left to right the line goes up and you move one 1and one to the left so m=1/1 =1
y-intercept is at (0,3) because is where the line intersects the y-axis
. Rotate 90 degrees- clockwise.
Answer:
(4,-1), (2,-5), and (5,-5).
Step-by-step explanation:
There is a formula for rotating points about the origin counterclockwise; r90°(x,y) = (-y,x)
I never heard of a clockwise one before.
Maybe you can use this to help you find the formula for the clockwise rotation.
A coffee roaster is designing a coffee can that can be modeled with a right cylinder for its new Breakfast Blend . Breakfast Blend costs the roaster $0.03 per cubic inch to produce. The roaster wants the can to contain an amount of coffee that will cost him no more than $7.50 to produce. Given that the height of the can is to be equal to its diameter, what is the maximum height allowable for the can? Round to the nearest tenth of an inch.
Answer: 6.8 inches
Step-by-step explanation:
A Mall has 21 shops: 9 are pens, 7 are shoes, and 5 are watch shops. What
is the probability that we will go shopping in pens or shoes shop?
Answer:
16/21
Step-by-step explanation:
9+7 / 21
16/21
Answer:
16/21
Step-by-step explanation:
The demoninator is 21
There are 9 pens and 7 shoes.
9+7=16
16/21
You can not simplify 16/21, so that is your final answer.
If f (2) = 60 – 5.
find x for f (x) = 13
Answer:
The required value of [tex]x[/tex] is [tex]\frac{3}{5}[/tex]
Step-by-step explanation:
Given,
f (2) = 60 – 5
= (30 X 2) - 5
∴ f (x) = [tex]30x-5[/tex]
Again,
f (x) = 13 [given]
[tex]30x-5=13\\or, 30x= 13+5\\or, 30x=18\\or, x=\frac{18}{30} \\\\or, x=\frac{3}{5} \\[/tex]
∴[tex]x=\frac{3}{5}[/tex]
Verification:
f (x) = [tex]30x-5[/tex]
∴ f ([tex]\frac{3}{5}[/tex]) = (30 X [tex]\frac{3}{5}[/tex]) - 5
= 18 - 5
= 13
∴ The required value of [tex]x[/tex] is [tex]\frac{3}{5}[/tex]
HELP PLS MATH !!!!!!!!!!!!!!
fraction form : 8/25
decimal form : 0.32
Answer:
8/25 or if you have to do decimal form it's 0.32
Step-by-step explanation:
Mike owes his brother $9.55. He borrows $10.75 more from his brother. Which of the following best represents Mike's debt to his brother?
A B C D +$20.20 -$20.30 -$1.20 +$18.80
Answer:
C - $20.30
Step-by-step explanation:
-9.55 + (-10.75) = - 20.3
Amy is baking her famous pies to sell at the Town Fall Festival. She uses 32 ¼ cups of flour for every 1 ½ batches of pie that she makes. How many cups of flour would Amy use for 7 batches of pie?
Answer:
150-1/2 (150.5) cups of flour
Step-by-step explanation:
We know there is a ratio of 32.25 / 1.5 (32-1/4 cups of flour for every 1 1/2 batches of pie that she makes). X is the unknown (as we are trying to solve for flour) so we can set up the problem as such:
32.25 = x
1.5 7
Now we cross multiply to solve:
1.5(x) = 7(32.25)
1.5x = 225.75 -- Simplify then divide both sides by x (to isolate the variable)
x = 150.5
Answer: She uses 32 ¼ cups of flour for every 1 ½ batches of pie
Let’s make it into whole numbers to start…
She uses 64 ½ cups of flour for every 3 batches of pie
She uses 129 cups of flour for every 6 batches of pie
She uses 129/6 cups of flour for every 1 batch of pie
She uses 7 x 129/6 cups of flour for every 7 batches of pie
= 150 ½ cups of flour
2,668 ÷ 53 (Im putting this because it has to be 20 characters or more)
Answer:
50.33962264
Step-by-step explanation:
brainlest pls
Answer:
the answer is 50.33
Step-by-step explanation:
someone check out my recent question
Need help with this question!!
x^2 = 2 × ( 2 + 4 )
x^2 = 2 × 6
x^2 = 12
x = √12
x = √4 × 3
x = 2√3
Answer:
x = 4
Step-by-step explanation:
Assume the dimension 4 is a diameter, and x is a tangent to the circle.
Use the tangent/secant formula to find
x*x = 2*(2+4)
x^2 = 16
x = 4
Which is the solution of the system of equations shown in the graph?
Answer:
(5, -7).
Step-by-step explanation:
Solution is the point of intersection.
(5, -7).
Find the value of x.
Answer:
x = 4
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
(19x + 3)° is an exterior angle of the triangle, then
11x - 2 + 9x + 1 = 19x + 3
20x - 1 = 19x + 3 ( subtract 19x from both sides )
x - 1 = 3 ( add 1 to both sides )
x = 4
Simplify and give me steps please.
(5m^4/3 x 5n^1/4) (m^1/3 x 2n^1/8)
Answer:
(25m^4n^1/12)(m^1n^1/12)
Step-by-step explanation:
Re-order terms to the left.
(5*5m^4/3 * n^1/4) (m^1/3*2n^1/8)
Combine terms
(5*5m^4n^1/3/4) 2m^1n^1/3/3/8
Multiply
(25m^4n^1/3/4) 2m^1n^1/3/3/8
(25m^4n^1/3 * 4) 2m^1n^1/3/3*8
(25m^4n^1/12). 2m^1n^1/3/24
cancel common terms in both num and denominator
Final - (25m^4n^1/12) (2m^1n^1/12).
A bag contains 25 red cubes, 15 green cubes, 12 blue cubes, and 8 yellow cubes. The cube is picked at random from the bag. Find each probability as a fraction is lowest terms
Answer:
25/70=red cubes
15/70=green cubes
12/70=blue cubes
8/70=yellow cubes
Step-by-step explanation:
you have to add up all the cubes together and get 70 so you have to see the possibility of getting each cube from the bag.
sorry if you get this wrong
Answer:
Step-by-step explanation: Alright so first add up how many cubes there are in total - 25 + 15 + 12+ 8 = 60. Then, each color cube is its number out of 60. So, for example, for 25 red cubes, it would be 25/60 as a fraction and that’s the probability as a fraction for the red cubes. So:
red = 25/60
green = 15/60
blue = 12/60
yellow = 8/60
then simply the fractions.
25/60 —> 5/12
15/60 —> 1/4
12/60 —> 1/5
8/60 —> 2/15
I hope that helped!
help fr now i am in danger x_x
Answer:
B, it's a reflection over the y-axis
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
It's B because all your doing is flipping the image over the y-axis
Without graphing, determine whether the system of linear equations has one solution, infinitely many solutions, or no solution. Explain your reasoning.
[tex]y=15x+1[/tex]
[tex]y=15x+2[/tex]
[tex]\huge{ \mathcal{ \underline{ Answer} \: \: ✓ }}[/tex]
First equation :
[tex]y = 15x + 1[/tex][tex]y - 15x - 1 = 0[/tex]Second equation :
[tex]y = 15x + 2[/tex][tex]y - 15x - 2 = 0[/tex]Now, the equations are in the form of
[tex]a_1x {}^{2} + b_1x + c_1 = 0[/tex][tex]a_2x {}^{2} + b_2x + c_2 = 0[/tex]where,
[tex] \dfrac{a_1}{a_2} = \dfrac{b_1}{b_2} \neq \dfrac{c_1}{c_2} [/tex]
therefore the equations would have no solution .
_____________________________
[tex]\mathrm{ \#TeeNForeveR}[/tex]
factorizar A- m⁹+125
B - 125a³ + 150a² b + 60ab³ + 8b³
Answer:
Kya Hua Hai Bhai Sab Kuchh khae Duniya Mein Sab Koi pata nahin to Aap To Pyar Karte
a recipe for pancakes requires 1 3/4 cups of milk. how much milk is needed to get twice as many pancakes
Answer:
7/2 cups of milk.
Step-by-step explanation:
1 3/4=7/4
2(7/4)=14/4=7/2
Answer:
7/2 cups of milk.
Step-by-step explanation:
If you want double the pancakes You must double the amount of milk:
First change it into an improper fraction:
1 3/4=7/4
then multiply it by two and simplify:
2(7/4)=14/4=7/2
What is the length of the missing leg?
Answer:
Hello! answer: 6
Step-by-step explanation:
8 × 8 = 64
6 × 6 = 36
64 + 36 = 100
√100 = 10 so therefore a = 6 Hope that helps!