z=18
3z+4+2z-4+90=180
5z+4-4+90=180
5z+90=180
5z=90
z=18
Find the EQUATION of the line through (-10,-12) and (-15,3). Use the form y=mx+b.
Refer to the attachment
21
Determine which equations are in standard form.
A 6x-7y=8
B y = 2x + 6
1
с
52 + 2y = 3
=
D
4x - 11y =-7
E - 3x + 5y = 12
-
Is the table a linear function?
Yes or no
a rectangular lawn has an area of a^3 - 125. use the difference of cubes to find out the dimensions of the rectangle.
The area of a rectangle is the product of its dimensions
The dimensions of the rectangle are: [tex]\mathbf{Length = a -5}[/tex] and [tex]\mathbf{Width = a^2 + 5a + 25}[/tex]
The area is given as:
[tex]\mathbf{Area = a^3 - 125}[/tex]
Express 125 as 5^3
[tex]\mathbf{Area = a^3 - 5^3}[/tex]
Apply difference of cubes
[tex]\mathbf{Area = (a - 5)(a^2 + 5a + 5^2)}[/tex]
[tex]\mathbf{Area = (a - 5)(a^2 + 5a + 25)}[/tex]
The area of a rectangle is:
[tex]\mathbf{Area = Length \times Width}[/tex]
So, by comparison:
[tex]\mathbf{Length = a -5}[/tex]
[tex]\mathbf{Width = a^2 + 5a + 25}[/tex]
Read more about areas at:
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A=?
b=?
C =?
Can someone tell me the answer please
Answer:
Below.
Step-by-step explanation:
a = 37 degrees ( vertical angle to 37 )
c = 180 - 37 = 143 degrees (adjacent angles add up to 180).
b = 180 - 37 - 109 = 34 degrees (angles in a triangle sum to 180 degrees).
a = 37 degrees
c = 180 - 37 = 143 degrees.
b = 180 - 37 - 109 = 34 degrees
Do the ratios 2/1 and 18/10 form a proportion?
Answer:
2
9/5
Step-by-step explanation:
2/1 = 2
18/10 (divide by 2 up and down) = 9/5
please help asap, this is for a math project! (ill give brainliest)
Write 7/571 as a mixed number!
Answer:
7
Step-by-step explanation:
jh
Answer:
7+32/77
Step-by-step explanation:
I have this problem on my test. Do I divide by 8 or 2 first to solve for x?
Toby's cup can hold 8 times as many ounces of water as Terry's. Together, the cups hold 22 ounces of water.
Please answer this ASAP
Step-by-step explanation:
It's B.You want a explaination ???
Ajar contains 16 beads. 4 beads are red, 4 are yellow, 5 are green, and 3 are blue.
Which is the probability of picking a blue bead?
Answer:
3/16
Total no.of beads = 16
No.of blue beads = 3
Probability of picking a blue bead = 3/16
Step-by-step explanation:
Hope this helps
can i get braineist pls
Please actually help, and don't say random words to get the points
Answer: X=3 Y=2
Step-by-step explanation: just looked it up
Can y’all help me with this question
Answer:
I'm 100% sure it's 50.
Step-by-step explanation:
Lance wrote down a lot of plus sevens and minus fours. Altogether he wrote 22 digits. When he came to add them all up the total was zero. How many plus sevens were there?
Which fraction is equivalent to 0.52121212121....?
Answer:
516/990=0.52121212121212
Step-by-step explanation:
so b is the answer
which expression is equivalent to the given expression after using the distributive property? 9 + 5 + 7x² + 3x²y + 2x²
Answer:
9 and 5 I guess enjoy.
.
Step-by-step explanation:
and yeah no explanation
A human hair is approximately 40 microns (um) wide. If 1 um is equal to 10
-6
meters (m),
and 1 nanometer (nm) is equal to 10-9m, then how many nanometers wide is a human hair?
A
0.0004 nm
B
0.004 nm
C
4,000 nm
D
40,000 nm
Answer:
D 40,000nm
Step-by-step explanation: 1nm/10^-9m * 10^-6/1um = 10^3 nm/um
Therefore in 40 microns there are:
40um * 10^3 nm/um = 40 * 10^3 nm = 40,000 nm
The human hair is 40,000 nanometers wide.
Option D is the correct answer.
Given,
A human hair is approximately 40 microns (um) wide.
1 um is equal to [tex]10^{-6}[/tex] meters (m)
1 nanometer (nm) is equal to [tex]10^{-9}[/tex] m.
We need to find how many nanometers wide is human hair.
How do we add exponents?We can add the exponents if we have the same base.
Example:
a² x a³ = [tex]a^{(2+3)}[/tex] = [tex]a^{5}[/tex]
[tex]a^{-2}[/tex] x [tex]a^{-3}[/tex] = [tex]a^{(-2 +( -3))}[/tex] = [tex]a^{-5}[/tex]
We have,
Human hair = 40 microns (um) wide.
And,
1 um = [tex]10^{-6}[/tex] m
1 nm = [tex]10^{-9}[/tex] m
[tex]10^{-9}[/tex] m = 1 nm
Multiplying by 10³ on both sides.
[tex]10^{-9}[/tex] x 10³ = 10³ nm
[tex]10^{(-9+3)}[/tex] = 10³ nm
[tex]10^{-6}[/tex] m = 10³ nm
1 um = [tex]10^{-6}[/tex]m
1 um = 10³ nm
Human hair = 40 um
1 um = 10³ nm
Multiplying 40 on both sides.
40 x 1 um = 40 x 10³ nm
40 um = 40 x 1000 nm
40 um = 40,000 nm
Thus human hair is 40,000 nanometers wide.
Learn more about the conversion of microns to nanometers here:
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what is 50x9 pls help
Answer: 450
Step-by-step explanation:
say you remove the 0 out of 50, so you have 5 x 9. 5 x 9 = 45. Take the 0 you took out earlier, than add it to the end of 45, there's your answer. 450
Step-by-step explanation:
Multiply:
50×9
⇛25 + 25 × 5 + 4
⇛50 + 9
⇛450 Ans.
Mamadou has a points card for a movie theater.
He receives 55 rewards points just for signing up.
He earns 7.5 points for each visit to the movie theater.
He needs at least 100 points for a free movie ticket.
Write and solve an inequality which can be used to determine
v
v, the number of visits Mamadou can make to earn his first free movie ticket.
Answer:
Inequality: 7.5v+55≥100
Answer: v≥6
Step-by-step explanation:
Have a good day :)
The inequality for the given situation is 7.5v+55≤100.
Given that, Mamadou receives 55 rewards points just for signing up. He earns 7.5 points for each visit to the movie theater. He needs at least 100 points for a free movie ticket.
What is an inequality?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
The number of visits Mamadou can make to earn his first free movie ticket is v.
The inequality for the given situation is 7.5v+55≤100
Subtract 55 on both the sides of inequality.
That is, 7.5v+55-55≤100-55
⇒ 7.5v≤45
⇒ v=45/7.5
⇒ v=6
Therefore, the inequality for the given situation is 7.5v+55≤100.
To learn more about the inequality visit:
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Moesha has 3 dresses, 2 hats, and 5 pairs of shoes. She will choose an outfit that has one dress, one hat, and one pair of shoes. How many different outfits are possible? PLEASE HElPPPPPPPPPPPPPPPPP
PLS HELP DUE IN 1 HOUR
write the expression using positive exponents
1/3^-5
Explanation:
The rule used is [tex]\left(\frac{a}{b}\right)^{-c} = \left(\frac{b}{a}\right)^{c}[/tex]
That rule says to go from a negative exponent to a positive exponent, we apply the reciprocal of the fraction.
So,
[tex]\left(\frac{1}{3}\right)^{-5} = \left(\frac{3}{1}\right)^{5} = 3^5[/tex]
Mike has 7 friends. Each friend has 109 baseball cards. How many cards do they have in all?
They have _______ baseball cards.
Answer:
They have 763 baseball cards in total
Step-by-step explanation:
7×109=763
Answer:
They have 763 baseball cards in total (BRANILIST PLEASE!!!!)
Step-by-step explanation:
You just multiply the number of friends with the number of cards each person has.
The movie theater sold 825 tickets to fill 3 theaters how many seats are in each theater
Answer:
275?
Step-by-step explanation:
I just divided it.. 825÷3
Answer:
The correct answer is 275 seats
Step-by-step explanation:
Since its 3 FULL theaters then we are gonna divide the number of tickets by the number of theaters which is 825÷3.
Do the math (or use a calculator) and your left with 275.
Hope this helps!
Only an answer please please
Answer: 41
Step-by-step explanation: r= 3c+ 5
3 (12) +5 36+5= 41
Answer:
B 35
Step-by-step explanation:
the value goes up by six in each box
The graph of a function is shown on the grid.
Which ordered pair best represents the location of the y-intercept?
Answer:
y-intercept = (0, -2)
Step-by-step explanation:
The y-intercept is the y-coordinate of the point (0, b) where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0. Looking at your graph, it shows that the line crosses at point (0, -2).
Therefore, the correct answer is (0, -2).
Dont get this, please help
Answer:
1. Enlarge, Shrink
2. Smaller
3. Bigger
Step-by-step explanation:
Dilation is something expanding or shrinking, like how your eyes dilate.
Simply think of the scale factor as what you are multiplying the entire figure by. If you are multiplying it by let's say 2, it would double in size, thus getting larger. If you were to multiply it by 1/2, then it would decrease, or shrink, to half its original size.
Answer:
1: enlarge, shrink
2: smaller
3: bigger
Hope this helps! SO sorry if incorrect!!!!!!
An ant moves at 14 cm a min. How many minutes will it take him to travel 10 points
364 cm? What is the time ? (Write your answer in "t=" form)
Answer:
26 minutes/ t=26
Step-by-step explanation:
F) c=14t
S) 364=14t
E) t=26
Is the statement “The absolute value of a number is always greater than its opposite” true?
Answer:
No; the absolute value of a negative number is equal to its opposite
Step-by-step explanation:
abc is a right angled triangle.
ac=14cm
angle c=90 degrees.
size of angle b:size of angle a=3:2
work out the length of ab
Answer:
67
Step-by-step explanation:
The table shows the probability distribution of Pamela seeing red cars and green cars on her way to office.
Pamela can expect to see ___ red cars and___ green cars on her way to office.
The expected value of a dataset is the mean of the dataset.
The complete text is: Pamela can expect to see 1 red car and 1 green car on her way to office.
Expected value is calculated as:
[tex]\mathbf{E(x) =\sum x \times P(x)}[/tex]
For the red cars, we have:
[tex]\mathbf{Red = 0 \times 0.43 + 1 \times 0.31 + 2 \times 0.14 + 3 \times 0.10 + 4 \times 0.02}[/tex]
[tex]\mathbf{Red = 0.97}[/tex]
Approximate
[tex]\mathbf{Red = 1}[/tex]
For the green cars, we have:
[tex]\mathbf{Green= 0 \times 0.45 + 1 \times 0.17 + 2 \times 0.22 + 3 \times 0.07 + 4 \times 0.09}[/tex]
[tex]\mathbf{Green= 1.18}[/tex]
Approximate
[tex]\mathbf{Green= 1}[/tex]
Hence, the expected values of red and green is 1.
Read more about expected values at:
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The following table shows the cost of 444 party favor packs. For example, the Slinky costs \$9$9dollar sign, 9 for a pack of 555.
Toy pack Cost (dollars) Quantity
Slinky 999 555
Wind-up robot 161616 888
Yo-yo 151515 666
Emoji beach ball 333 222
Answer:
its the yoyo
Step-by-step explanation:
it was right on the khawn acdemy thing.