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
Which polygon appears to be regular?
Figure A
Figure B
Figure C
Figure D
Answer:
the answer is D
Step-by-step explanation:
the answer is D
Answer: Yeah It's D
Step-by-step explanation: It's D
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
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.
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what is 5/2 as a decimal
Answer:
the decimal is 2.5
Answer: 5/2=2.5
Step-by-step explanation:
How I got this answer is how many times 5 can go into 2 or 5 divided by 2. So 5 divided by 2 is 2.5.
7th Grade Math Help. I keep getting a different answer than from the ones on there.
Answer:
100 apples are covered in sprinkles
I don’t know how to solve this
Answer:
y = [tex]\frac{1}{4}[/tex] x - 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) =( 8, - 3) and (x₂, y₂ ) = (0, - 5)
m = [tex]\frac{-5+3}{0-8}[/tex] = [tex]\frac{-2}{-8}[/tex] = [tex]\frac{1}{4}[/tex]
Note the line crosses the y- axis at (0, - 5 ) ⇒ c = - 5
y = [tex]\frac{1}{4}[/tex] x - 5 ← equation of line
[tex] \frac{y - y1}{y2 - y1} = \frac{x - x1}{x2 - x1} \\ \frac{y - ( - 3)}{ - 5 - ( - 3)} = \frac{x - 8}{0 - 8} \\ \frac{y + 3}{ - 2} = \frac{x - 8}{ - 8} \\ - 8(y + 3) = - 2(x - 8) \\ - 8y - 24 = - 2x + 16 \\ 2x - 8y = 40[/tex]
Please help! Give the answer and how you got it, i have a test tomorrow!!
Answer:
56.25
Step-by-step explanation:
We know that both of the angles m<KPN and m<OPN must add up to 90 degrees
We can create an equation as follows
[tex]90=(3x)+(x+15)\\90=4x+15\\75=4x\\x=75/4\\m<KPN = 3x = 3*\frac{75}{4} = 56.25[/tex]
1. This season, a basketball player has made 34 of 47 free
throws. What is his free throw percentage?
The free throw percentage is 72.34 %
Solution:
Given that, This season, a basketball player has made 34 of 47 free throws
To find: Free throw percentage
The formula used is:
[tex]\text{Free throw percentage} = \frac{\text{number of throws by basketball player}}{\text{total number of throws}} \times 100[/tex]
From given,
Number of throws by basket player = 34
Total number of throws = 47
Therefore,
[tex]\text{Free throw percentage} = \frac{34}{47} \times 100\\\\\text{Free throw percentage} = 0.7234 \times 100\\\\\text{Free throw percentage} =72.34[/tex]
Thus free throw percentage is 72.34 %
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
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)}.
1/3 of 5th grade class absent there were 4 students absent. How many students in class
Answer:
8
Step-by-step explanation:
3x4=12
12x1/3=4
12-4=8
Answer:
12 students are in that class, 8 of them are present
Step-by-step explanation:
1/3 of the class = 4
1/3 * 3 = the whole class
4 * 3 = 12 = the whole class
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:
Please help. A 32-pound box of cantaloupe costs 24.40. How much would a 12-pound box cost?
Answer:
I believe it should be $9.15
Step-by-step explanation:
Answer:
$9.15
Step-by-step explanation:
lets find the cost of 1-pound box first
is 32-pound box cost $24.40
then 1-pound box will cost $ 24.40 / 32 = $0.7625
To find how much a 12-pound box will cost, we'll simply multiply the cost of 1-pound box by 12
$0.7625 * 12= $9.15
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
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
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:
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
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
how do you simplify this expression (x+2)-(x-2)-12x
Answer:
−12x + 4
Step-by-step explanation:
1. Remove parentheses
x + 2 − x + 2 − 12x
2. Collect like terms.
(x − x − 12x) + (2 + 2)
3. Simplify.
−12x + 4
Answer:
Step-by-step explanation:
(x+2)-(x-2)-12x
x+2-x+2-12x
x+4-13x
-12x+4
=4(3x-1)
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
A triangle has sides with lengths of 35 meters, 84 meters, and 91 meters. Is it a right triangle?
Yes or No
Answer: No
Step-by-step explanation:
The reason that it is not a right triangle is because there isn't an angle that is equal to 90 degrees
Answer:
ANswer is YES i trued it On IXL and it was yes
Step-by-step explanation:
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.
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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
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:
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 4 1/3 ft. In inches
Answer:
52 inches
Step-by-step explanation:
1ft= 12inches
4times 12=48 1/3of 12=4 48+4=52
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.