The cross section perpendicular to the base is a rectangle. The cross section parallel to the base is a pentagon similar to the pentagonal base. The solid is a cylinder.
When solving the system of equations 3x−3y=1 and −2x+4y=2 algebraically, a good first step is to:
A. Multiply 3x−3y=1 by 2, and multiply −2x+4y=2 by 3.
B. Multiply 3x−3y=1 by 3, and multiply −2x+4y=2 by −2.
C. Rewrite both equations in slope-intercept form.
D. Add the equations together.
Answer:
A. Multiply 3x−3y=1 by 2, and multiply −2x+4y=2 by 3.
Step-by-step explanation:
Given
[tex]3x - 3y = 1[/tex]
[tex]-2x+ 4y = 2[/tex]
Required
A good first step
A good first step is to eliminate x and this is done as follows:
Multiply [tex]3x - 3y = 1[/tex] by 2 (gotten from coefficient of x in the second equation)
Multiply [tex]-2x+ 4y = 2[/tex] by 3 (gotten from coefficient of x in the first equation)
This gives:
[tex]6x - 6y = 2[/tex]
[tex]-6x + 12y = 6[/tex]
Add both equations
[tex]6x - 6x - 6y + 12y = 2 + 6[/tex]
[tex]6y = 8[/tex]
[tex]y = \frac{4}{3}[/tex]
Hence (a), is true
Nathaniel is going to invest $22,000 and leave it in an account for 20 years.
Assuming the interest is compounded continuously, what interest rate, to the nearest
tenth of a percent, would be required in order for Nathaniel to end up with $33,000?
Answer:2.0%
Step-by-step explanation:
The interest rate required to get a total amount of $33,000.00 from compound interest on a principal of $22,000.00 compounded 1 times per year over 20 years is 2.048% per year.
What is the interest rate?r = n[(A/P)1/nt - 1]
r = 1 × [(33,000.00/22,000.00)1/(1)(20) - 1]
r = 0.0204802
Then convert r to R as a percentage
R = r * 100
R = 0.0204802 * 100
R = 2.048%/year
The interest rate required to get a total amount of $33,000.00 from compound interest on a principal of $22,000.00 compounded 1 times per year over 20 years is 2.048% per year.
The amount a lender charges a borrower is called an interest rate, and it is expressed as a percentage of the principal, or the loaned amount. Typically, a loan's interest rate is expressed as an annual percentage rate, or APR (APR).To learn more about compound interest refer to:
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7.4 as a mixed fraction
7.4 in fix fraction will look like this:
[tex]7 \frac{2}{5} [/tex]
the length of a rectangle is 4 units more than it's width.The area of a rectangle is 25 more than 4 times the width.What is the width of the rectangle
Answer:
solution,
let width of the rectangle be x then,
length(l)=4x
Area(A)=25l
now,
area of rectangle = 4x×x
25×(4x)= 4x square 100x= 4xsquarex=25 unitsStep-by-step explanation:
in 2nd step one x cancel another in opposite side of =
117
x
x + 3
Find the value of x.
Answer:
114 I believe........
..
Answer:
what?
Step-by-step explanation:
we are working on solving system of equations by substitution. can you please explain how to get the answer for
5x+y=2
x+y=10
Answer:
try symbolab calculator it will give you a step by step explanation
Answer:
x= -2
y= 12
Step-by-step explanation:
5x + y = 2..................eqn 1
x + y = 10 ..................eqn 2
from eqn 1
5x + y = 2, u substitute by making 'y' the subject
y = 2 - 5x .................eqn 3
put eqn 3 into eqn 2
x + y = 10
x + 2 - 5x = 10
x - 5x = 10 - 2
-4x = 8
x = 8 / -4
x = -2
put x = -2 into eqn 1
5x + y = 2
5(-2) + y = 2
-10 + y = 2
y = 2 + 10
y = 12
A colony of 500 bacteria doubles in size every 200 hours. What will the population be 400 hours from now?
Answer:
1000
Step-by-step explanation
200+200=400
so
500+500=1000
Let's say Jose deposited $2,700 into a CD account with an Annual Percentage Rate
(APR) of 4%, compounded annually, and he must leave it in the account for at least 5
years.
Answer:
$3283.2
Step-by-step explanation:
Given data
Principal= $2700
Rate= 4%
Time= 5 years
Required
the final Amount A
The compound interest formula is
A=P(1+r)^t
Substitute
A=2700(1+0.04)^5
A=2700(1.04)^5
A=2700*1.216
A=$3283.2
Hence the balance in the account after 5 years is $3283.2
Complete the sentence
Answer: b, d
Step-by-step explanation:
Corresponding angles are formed when two parallel straight lines are cut by a transversal
[tex]\angle b=62^{\circ}[/tex]
In the figure, [tex]\angle d\ \text{and}\ 62^{\circ}[/tex] are alternate angle
[tex]\therefore \angle d=62^{\circ}[/tex]
please help me with this
If 3n + 7 = 25, then find the value of the expression 8n - 3]
In ∆ DEF and ∆ XYZ, DE = XY, angle E = angle Y and EF = YZ. Name the
test of congruency by which both the triangles are congruent.
Answer:
n=6,
SAS,
63
Step-by-step explanation:
3n+7=25
3n=25-7
3n=18
n=18/3
n=6
_______________________________
ΔDEF is congruent to ΔXYZ
DE=XY(side)
<E=<Y (angle)
EF=YZ (side)
by SAS congruence criteria ΔDEF=ΔXYZ
_________________________
(Linear pair)
180°-117°
=63
Answer=63
add the complex numbers: (4 + 8j) + (-2 - j)
Answer:
7j+2 or 2+7j
Step-by-step explanation:
(4+8j)+(−2−j)
Subtract 2 from 4 to get 2.
2+8j−j
Combine 8j and −j to get 7j.
2+7j
What is the value of n when n = 2 ?
Answer:
2
Step-by-step explanation:
Is there an expression you need to solve?
n = 2 so the value would be 2
There are 6 cabbages and 8 carrots in a bag. How many carrots need to be added to make the ratio of
cabbages to carrots 1:3?
Answer:
10 carrots
Step-by-step explanation:
So we have 6:8 which is 3:4, meaning that something needs to be changed
Solve for x assuming that we have 6 cabbages
1/3=6/x
x=18
Now we have 6:18, which is 1:3 simplified
There are already 8 carrots so subtract 8
18-8=10
8) If 15 balls cost Rs 225 then the cost of 8 balls is
Answer:
The cost of 8 balls is Rs $ 120.
Step-by-step explanation:
Given that 15 balls cost Rs $ 225, to determine the cost of 8 balls it is necessary to perform the following mathematical calculation:
(225/15) x 8 = X
15 x 8 = X
120 = X
Thus, the cost of 8 balls is Rs $ 120.
Maria has a recipe for pumpkin bread. She uses 3 ½ cups of flour to make 2 loaves of pumpkin bread. Alex will follow the same recipe. He will make b loaves of pumpkin bread using f cups of flour. Write an equation that represents the relationship between b and f.
Answer:
b + 1.75f
Step-by-step explanation:
1.75 cups are used for every loaf of pumpkin bread.
Answer:
f(4/7)=b
Step-by-step explanation:
3+1/2=7/2
(7/2)x=2
x=4/7
the constant of the equation is 4/7
so take f and b and put f in place for 7/2 cups and b for 2 loaves of bread.
f(4/7)=b
Hope that helps :)
Brad and Terrence are working on some math problems. Today, Terrence completed 15 math problems. This is 3 more than twice the number of problems that Brad completed. A)Write an equation that can used to find , b, the number of math problems that Brad completed.
Answer:
2b + 3 = 15
b = 6
Step-by-step explanation:
9. Density measures
A. how much liquid is in an object.
C. how tightly packed an object's particles are.
B. the amount of space an object takes up.
D. the amount of matter contained in an
object.
Answer:
How tightly packed an object's particles are.
Each fully colored ten block represents 1 whole the number represent above will be divided into 11 equal part how many squares need to be colored
Given:
Some boxes are fully colored.
Each fully colored ten block represents 1 whole.
The number of colored boxes will be divided into 11 equal part.
To find:
The number of squares need to be colored on each of the 10 blocks.
Step-by-step explanation:
From the given figure, it is clear that,
Number of colored box = 55
The number of colored box will be divided into 11.
[tex]\dfrac{55}{11}=5[/tex]
Therefore, 5 squares need to be colored on each of the 10 blocks.
if the store has a sale and all sofas are marked down 45% off . What would be the price of a sofa that was $950.
Answer:
$522.50
Step-by-step explanation:
To find the price, multiply 950 by 0.55
950(0.55)
= 522.5
So, the sale price will be $522.50
Simplify.
(-216) ^-1/4
Answer:14 or 0.25
Step-by-step explanation:
It’s basically already written there but decimal form is 0.25
Hey! Do you mind helping me?
Answer:
20 - x^2 + y = 28
y+9x > 28
60 / y > 28
Step-by-step explanation:
A + B - _____ = B
PLEASE HELP
Answer:
A
Step-by-step explanation:
Because if you subtract A from A it gets rid of A leaving only B left.
Please answer this I really need it pleaseeeeeeeeeeee
Answer:
WL = DC
Step-by-step explanation:
if you move the triangles to connect to eachother it would show that they are equal.
9x + 18 - 5x = 2 + 4x
Answer:
There are no solutions
Step-by-step explanation:
9x+18−5x=2+4x
Step 1: Simplify both sides of the equation.
9x+18−5x=2+4x
9x+18+−5x=2+4x
(9x+−5x)+(18)=4x+2(Combine Like Terms)
4x+18=4x+2
4x+18=4x+2
Step 2: Subtract 4x from both sides.
4x+18−4x=4x+2−4x
18=2
Step 3: Subtract 18 from both sides.
18−18=2−18
0=−16
Answer:
There aren't any values of x that would make the equation true.
NO SOLUTION
Hope this helped <3
ASAP!! WILL MARK BRAINLIEST!!!!!!!!
Complete the table below to solve the equation 2.5x - 10.5 = 64(0.5^x)
x f(x)= 2.5x - 10.5 g(x) = 64(0.5^x)
2
3
4
5
6
Answer in table format, picture below
Answer:
x = -0.35
Step-by-step explanation:
tep 1 - Multiply 64 and 0.5x. The answer ends up being 32x
Step 2 - You need to get all of the variables on one side and the regular numbers on the other side. To do that, you need to subtract 2.5x from each side so you are left with the equation -10.5 = 29.5x
Step 3 - The final step is to isolate the variable. To do this, you divide each side by 29.5 meaning that x = -0.35
HELPPPPPPP PLEASEEEE I AM SO DESPERATE
Answer:
Select A, C, D, and F
Step-by-step explanation:
B is not multiplication
C is correct
D is shorter form, correct
F is correct
Plz mark as brainliest if correct! Have a nice day!!!
graph the line with slope -2/5 and y-intercept -3
Answer:
emmm we cant graph
Step-by-step explanation:
there isnt one. just go from the y intercept and go 2 up and 5 left.
If AC = x + 6, and AB = 15 solve for x.
HELPPPPPPPPP PLEASEEEEEE
I WILLL MARK YOU BRILL