Answer:
1:10 pm
Step-by-step explanation:
60 minutes in an hour, so
8:50am + 4 hours = 12:50pm
12:50pm + 20 minutes = 1:10pm
8r + 12p - 7 - 3p = ?
Answer:
9p+8r-7
Step-by-step explanation:
1) subtract like terms: 12p-3p=9p
2) add unlike terms: 8r+9p -7
The given algebraic expression can be simplified as 8r+9p-7.
The given expression is 8r+12p-7-3p.
To simplify algebraic expression, simplify like terms in it.
In the given expression group the like terms, that is
8r+12p-3p-7
=8r+9p-7
Therefore, the given algebraic expression can be simplified as 8r+9p-7.
To learn more about an expression visit;
https://brainly.com/question/28170201.
#SPJ6
Which expression is equivalent to (x2 +9x – 1)(-4x + 3)?
-4x3- 33x2+31x – 3
4x3 +39x2-23x + 3
4x3+33x2-31x + 3
-4x3 -39x2+23x – 3
Answer:
- 4x³ - 33x² + 31x - 3------------------------------------------------------------------------------------------
If you invested $500 at 5% simple interest for 2 years, how much interest do you earn? Show work and answer in complete sentences to earn full credit.
If you invest $500 at 3% compounded monthly for 2 years, how much interest you do earn? Show work and answer in complete sentences to earn full credit.
Which would you rather do?
Therefore I earn $50 interest
Therefore I earn $30.88 interest.
I would do the first one.
Step-by-step explanation:
A.
Given , I invested $500 at 5% simple interest for 2 years.
P=$500, r =5% and t = 2 years
[tex]Interest (I) =\frac{P \times r \times t}{100}[/tex]
[tex]=\$\frac{500 \times 5 \times 2}{100}[/tex]
=$50
Therefore I earn $50 interest.
B.
Given , I invested $500 at 3% compounded monthly for 2 years.
P=$500, r =3% = 0.03 and t = 2 years
[tex]Amount (A) =P(1+\frac{r}{n})^{nt}[/tex]
[tex]=\$500(1+\frac{0.03}{12})^{ 2\times 12}[/tex]
=$530.88
Interest = $(530.88-530) = $30.88
I would do the first one.
If RSU~VST, then the triangles are similar by:
show work for brainlist
Step-by-step explanation:
[tex] \because \triangle \: RSU \sim \: \triangle VST \\ \\ \therefore \: \frac{RS}{VS} = \frac{7}{14} = \frac{1}{2} ....(1) \\ \\ \angle RSU \cong \: \angle VST ....(2) \\ (vertically \: opposite \: angles) \\ \\ \frac{US}{TS} = \frac{4}{8} = \frac{1}{2} ....(3) \\ \\ from \: equations \: (1) \: (2) \: and \: (3) \\ it \: is \: clear \: that: \\ \triangle \: RSU \sim \: \triangle VST\\ ..(by \:SAS\:similarity\:postulate) [/tex]
Thus, given triangles are similar by SAS similarity postulate.
When the triangles RSU and VST are said to be similar, it means the corresponding sides and angles are proportional and equal respectively, which is known as the Angle-Angle criterion for similarity.
Explanation:If the triangles RSU and VST are similar (RSU ~ VST), it means the corresponding sides and angles of the two triangles are proportional, and the corresponding angles are equal. This is also known as the Angle-Angle (AA) criterion for similarity. The order of the letters signifies the corresponding parts of the triangles. R corresponds to V, S to S, and U to T. So, the angles R and V are congruent, as are the angles U and T. Because we have two pairs of congruent angles, we can say that the triangles are similar by the AA criterion.
Learn more about Triangle Similarity here:https://brainly.com/question/31404653
#SPJ11
Which equation is modeled below
Answer:
what equation there isn't one
Answer:
A or -x + 1 = 2 x + 3
Step-by-step explanation:
I got this for one of my test answers, but you did not include a picture so I'm not sure is this is the correct one
What is the approximate area of a circle with a diameter of 14 inches
Greatest common factor of 16k - 24
Answer:
8
Step-by-step explanation:
The greatest common factor of 16k - 24 is 8.
Explanation:The first step to find the greatest common factor (GCF) of 16k - 24 is to factor out any common terms. In this case, both 16k and 24 are divisible by 8, so we can factor out an 8: 8(2k - 3). Now, we need to look at the expression inside the parentheses, 2k - 3, and try to factor out any common terms. However, since 2k - 3 does not have any common factors, the GCF of 16k - 24 is simply 8.
Learn more about Greatest Common Factor here:https://brainly.com/question/35541703
#SPJ2
Find the equation of the line.
y=__x+__
PLEASE HELP THIS IS DUE TODAY!! D:
Answer:
aaf ducks chicks h.c Khan ffc blackjack wUtah's hands perches yachts
The leas been $31 on a movie ticket for two adults and three children the Smiths Station $26 on a movie ticket for two adults and two children what are the prices for an adult and child movie ticket
Answer:
Adults: $8
Children: $5
Step-by-step explanation:
First Step:
Let's represent The leas by: 2A + 3C = 31
Let's represent The Smiths Station by: 2A+2C=26
Second step:
Solve The leas expression for A → 2A + 3C = 31
[tex]A =\frac{31-3C}{2}[/tex]
Third step:
Replace A on The Smiths Station and solve for C:
2([tex]\frac{31-3c}{2}[/tex]) + 2C = 26
31-3C+2C = 26
31-C=26
31-26 = C
C= 5
Fourth step:
Replace C=5 in expression [tex]A =\frac{31-3C}{2}[/tex]
A = [tex]\frac{31-3*5}{2}[/tex] →→ A=[tex]\frac{31-15}{2}[/tex] →→ A=[tex]\frac{16}{2}[/tex] →→ A= 8
An algebraic equation is an equation that includes:
a no variables
b. only one variable
С.
one or more variables
just numbers
Please select the best answer from the choices provided
Answer:
ç
Step-by-step explanation:
fufujphgfhjunkksbkbbdkdbkdldbdjdbdkdjjdkdmdljdbdivdjbdkd
hellppp 70 pointsss
what is the equation of the quadratic function shown in the graph ?
f(x)=___ (x + ___) (x-___)
y=a.(X-x1)(X-x2)
x1 and x2 are x-intercepts
x1=-3
x2=1
other points: (-1,8) and (0,5)
y=a.(x+3).(x-1)
a=-2
f(x)= -2.(x+3)(x-1)
The equation is [tex]\[f(x) = -2 \cdot (x + 3)(x - 1)\][/tex]
How to get the equationGiven the quadratic equation in the form \(y =[tex]a \cdot (X - x_1)(X - x_2)\), where \(x_1\) and \(x_2\)[/tex]represent the x-intercepts, and the given x-intercepts are[tex]\(x_1 = -3\) and \(x_2 = 1\).[/tex]
Using the given x-intercepts [tex]\(x_1 = -3\) and \(x_2 = 1\)[/tex], the equation becomes [tex]\(y = a \cdot (x + 3)(x - 1)\).[/tex]
We are also provided with two other points: (-1, 8) and (0, 5).
We can substitute the point (-1, 8) into the equation to solve for \(a\):
[tex]When \(x = -1\) and \(y = 8\):\[8 = a \cdot ((-1) + 3)((-1) - 1)\]\[8 = a \cdot (2)(-2)\]\[8 = -4a\]\[a = -2\][/tex]
Therefore, the value of \(a\) is -2.
Substituting [tex]\(a = -2\) into the equation \(y = a \cdot (x + 3)(x - 1)\), we get:\[y = -2 \cdot (x + 3)(x - 1)\][/tex]
[tex]\[f(x) = -2 \cdot (x + 3)(x - 1)\][/tex]
Read more on quadratic function https://brainly.com/question/1214333
#SPJ2
Explain how you can use a table or graph to find the slope. What does the slope
represent in the problem?
There are 22 people in a room, if everyone shakes everyone else’s hand exactly one time, how many handshakes would that be total?
There will be 231 handshakes in total
Solution:
There are 22 people in a room
Everyone shakes everyone else’s hand exactly one time
To find: Total number of handshakes in total
Let,
n = total number of people that will shake hands
but since all (total) can't shake hands with themselves, hence we subtract one individual to start the handshaking
(n - 1) = people would each shake hands
hence we multiply both total number persons with people that will shake hands;
n(n - 1)
but that counts every handshake twice, so we have to divide by 2
Therefore;
[tex]\frac{n(n-1)}{2}[/tex]
Here, n = 22
[tex]\frac{n(n-1)}{2} = \frac{22(22-1)}{2} = 11 \times 21 = 231[/tex]
Thus there will be 231 handshakes in total
Can someone do question 13 please
Answer:
A = 4/7
B = 2/3
C = 2/5
Step-by-step explanation:
It's Easy.
Answer:
A is 4/7
B is 2/3
C is 2/5
Step-by-step explanation:
A website charges $3 for each movie you
download. They also charge a one-time sign-up
fee of $14.99
What is the input variable?
DONE
Answer: A. M, the number of movies.
Step-by-step explanation: I put A, and it was the right answer.
Which number is greater?
a) 1.204×10^24
b)3.01×10^23
I need the answer ASAP
The answer will be number (a).
Yo sup??
This question can only be solved when the power of 10 in both the numbers is same.
therefore we can express the two numbers as
12.04*10^23 and 3.01*10^23
Clearly we can now say that a>b
Hence a is greater
Hope this helps.
Given the system of equations, what is the solution?
3x - 2y + 10 = 0
5y = 4x + 8
{(-34/7, -16/7)}
{(-34/7, 16/7)}
{(34/7, -16/7)}
Answer:
{(-34/7, -16/7)}
Step-by-step explanation:
Rearrange values, multiply to solve for x.
(5) 2y = 3x + 10
(-2) 5y = 4x + 8
Solve for x.
10y = 15x + 50 ↓
-10y = -8x -16
Combine and evaluate.
0 = 7x + 34
Subtract 34 from both sides.
7x = -34
Divide both sides by 7.
x = [tex]\frac{-34}{7}[/tex]
Plugin x value into either equation to solve for y.
2y = (3 × [tex]\frac{-34}{7}[/tex]) + 10
2y = [tex]\frac{-106}{7}[/tex] + 10
2y = [tex]\frac{-32}{7}[/tex]
y = [tex]\frac{-16}{7}[/tex]
Final answer:
By rewriting one equation to isolate y and substituting it into the other, the solution to the system of equations is determined to be {(-34/7, 16/7)}.
Explanation:
The solution to the system of equations provided is found by solving the equations simultaneously. We begin by expressing the second equation in terms of y:
Rewrite the second equation:
5y = 4x + 8
y = (4/5)x + 8/5.
Substitute y in the first equation:
3x - 2((4/5)x + 8/5) + 10 = 0.
Simplify and solve for x:
(3 - 8/5)x + (10 - 16/5) = 0
which gives us-
x = -34/7
Substitute x back into y = (4/5)x + 8/5 to find
y = 16/7
Thus, the solution to the system of equations is {(-34/7, 16/7)}.
We have an upcoming test on Logorithms and my teacher forgot to go over how to solve logorithms with different bases. How would you solve them? for example,
3log[tex]_{4}[/tex] 2 +log[tex]_{5}[/tex] 512
The value of [tex]3log_{4}(2)+log_{5}(512)[/tex] is about 5.376
Step-by-step explanation:
Let us revise some rules of logarithm
[tex]log(a)^{n}=n.log(a)[/tex] [tex]log_{b}(a)=\frac{log(a)}{log(b)}[/tex]∵ The expression is [tex]3log_{4}(2)+log_{5}(512)[/tex]
- By using the 1st rule in the first term
∵ [tex]3log_{4}(2)=log_{4}(2)^{3}[/tex]
∵ 2³ = 8
∴ [tex]log_{4}(2)^{3}=log_{4}(8)[/tex]
- By using the second rule
∵ [tex]log_{4}(8)=\frac{log(8)}{log(4)}=1.5[/tex]
∵ [tex]log_{5}(512)=\frac{log(512)}{log(5)}=3.876[/tex]
- Add the two answers
∴ [tex]3log_{4}(2)+log_{5}(512)[/tex] = 1.5 + 3.876
∴ [tex]3log_{4}(2)+log_{5}(512)[/tex] = 5.376
The value of [tex]3log_{4}(2)+log_{5}(512)[/tex] is about 5.376
Learn more:
You can learn more about the logarithmic expressions in brainly.com/question/11921476
#LearnwithBrainly
mass of a spherical grape is 8.4 grams and
The volume of an object is equal to the ratio of its mass to density,
its density is 2 grams per cubic centimeter.
What is the radius of the grape? Round to the nearest tenth of a centimeter.
O 1.0 cm
O 1.5 cm
O 1.9 cm
O 21 cm
The radius of grape is 1 cm
Solution:
Given that,
The volume of an object is equal to the ratio of its mass to density
[tex]Volume = \frac{mass}{density}[/tex]
From given,
Mass = 8.4 grams
Density = 2 grams per cubic centimeter
Substituting in above formula,
[tex]Volume = \frac{8.4}{2} = 4.2\ cm^3[/tex]
Given is a spherical grape
The formula for volume of sphere is given as:
[tex]Volume = \frac{4}{3} \pi r^3[/tex]
Where, "r" is the radius of sphere
[tex]4.2 = \frac{4}{3} \times 3.14 \times r^3\\\\4.2 = 4.187 \times r^3\\\\r^3 = \frac{4.2}{4.187}\\\\r^3 = 1.003\\\\\text{Take cube root on both sides}\\\\r = 1.000999 \approx 1[/tex]
Thus the radius of grape is 1 cm
Answer:
1.0 cm
Step-by-step explanation:
A metalworker has a metal alloy that is 15% copper and another alloy that is 75% copper. How many kilograms of each alloy should the metalworker combine to create 120 kg of a 51% copper alloy?
48 kilograms of 15 % copper is combined with 72 kilograms of 75 % copper to create 120 kg of a 51% copper alloy
Solution:
Let "x" be the kilograms of 15 % copper
Then, (120 - x) be the kilograms of 75 % copper
Then, according to question,
"x" kilograms of 15 % copper is combined with (120 - x) kilograms of 75 % copper to create 120 kg of a 51% copper alloy
Thus we frame a equation as:
15 % of x + 75 % of (120 - x) = 51 % of 120
Solve the equation for "x"
[tex]15 \% \times x + 75 \% \times (120-x) = 51 \% \times 120\\\\\frac{15}{100} \times x + \frac{75}{100} \times (120-x) = \frac{51}{100} \times 120\\\\0.15x + 0.75(120-x) = 0.51 \times 120\\\\0.15x + 90 - 0.75x = 61.2\\\\0.6x = 90 - 61.2\\\\0.6x = 28.8\\\\Divide\ both\ sides\ by\ 0.6\\\\x = 48[/tex]
Thus 48 kilograms of 15 % copper used
Then, (120 - x) = (120 - 48) = 72
Thus, 72 kilograms of 75 % copper is used
You open a bank account with $100 and deposit 15 every week. Create an equation to model the total amount of money,y, in dollars, you will need to save after x months. How many weeks will it take to have $250?
Answer:
[tex]Y = 15x+ 100[/tex]
x = 10 months
Step-by-step explanation:
Given:
Initial deposit = $100
Weakly deposit = $15
Solution:
We need to create an equation where total amount is y is equal to initial deposit plus multiplication of weakly deposit and month x, so the equation is written as.
[tex]Y = 15x+ 100[/tex] ---------(1)
Where:
Y = Total amount
x = Number of months.
Second thing we need to find the month for y = $250
Now, we substitute y = 250 in equation 1.
[tex]250 = 15x+ 100[/tex]
[tex]15x=250-100[/tex]
[tex]15x =150[/tex]
[tex]x=\frac{150}{15}[/tex]
x = 10 months
Therefore, we need to required 10 months for $250.
Simplify this expression 1-c+4c-29
Answer:
3c-28
Step-by-step explanation:
Answer:-28+3c
Step-by-step explanation:
1)combine like factors
1-29=-28
-c+4c=3c
-28+3c
if A's income is 25% less than that of B, then how much percent is B's income more than that of A ?
Answer:
125%
Step-by-step explanation:
this is because the difference is 25% so b is 125% more than a
Where do you add the parentheses in this equation?
3 + 6 × 5 + 4÷2 - 7
Answer: to get to what answer
Step-by-step explanation:
what is the solution to this problem
x+5y=4
3x-7y=-10
To solve the given system of linear equations, we use the elimination method to find the solution, which is (x, y) = (-1, 1).
The student is asking how to find the solution to a system of linear equations:
x + 5y = 4
3x - 7y = -10
To solve this system, one can use the method of elimination.
Multiply the first equation by 3 and the second equation by 1 to align the coefficients of x.
The resulting equations are:
3x + 15y = 12
3x - 7y = -10
Subtract the second equation from the first to eliminate x:
22y = 22
Divide by 22 to find y:
y = 1
Substitute y = 1 into the original first equation:
x + 5(1) = 4
Solve for x:
x = -1
The solution to the system is (x, y) = (-1, 1).
Here’s another one I don’t understand, please give me the answer and explain how you got it
Answer:
39 degrees
Step-by-step explanation:
The angle of a straight line is 180 degrees. This is constant and will never change. You will add 57 and 84 to get 141 degrees for <LMP. Take 180-141 to get 39 degrees for <PMN
Plot the points (–4, –3), (–3, –5), (0, –4), (0, 3), and (–2, 3) and connect them to form a polygon. What is the length of the vertical side? 2 units 3 units 6 units 7 units
Answer:
7 units
Step-by-step explanation:
I plotted your points to form the polygon in the diagram below.
The vertical side joins the points (0 ,3) and (0, -4).
The vertical distance between them is
3 - (-4) = 3 + 4 = 7
The length of the vertical side is 7 units.
Answer:
7 units
Step-by-step explanation:
Find the sum of (3x2 + 16x + 9) and (−16x − 12)
Answer:
3
Step-by-step explanation:
(3*2 + 16x +9) + (-16x -12)
6 + 16x + 9 -16x -12
3
Lines a and b are parallel. What is the measure of angle 3 if angle 6 measures 84
Answer:
angle 3 is 84 degree
Step-by-step explanation:
because angle 3 and angle 6 are equal
I’m a given rectangle the shorter side is 2 units less than the longer side. If we let the longer side be represented as the variable x create an expression that represents the perimeter of the rectangle.
Answer:
4(x-1)units
Step-by-step explanation:
In a given rectangle, the length of the rectangle is the shorter side while its breadth is the longer side.
Since we have 2 lengths and 2 breadths in a rectangle, the perimeter of the rectangle will be 2L+2x where
L is the length(shorter side) and x is the breadth (longer side).
According to the question, the shorter side(L) is 2 units less than the longer side(x). Mathematically,
L = x-2
Substituting L = x-2 into the formula of perimeter of a rectangle we have,
P = 2(x-2) + 2x
P = 2x-4+2x
P = 4x-4
P = 4(x-1)
The perimeter of the rectangle will be 4(x-1)units