Okay I got the answer, so -28 is (LESS) than -3, and 28m below sea level is a (GREATER) depth than 3m below sea level! i took the test and I got it right.
Step-by-step explanation:
Complete statement is as follows -
−28 is less than −3, but 28 m below sea level is greater depth than 3 m below sea level.
What is inequality?In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
Given is Becky who went scuba diving. She writes an inequality statement that compares the magnitude of two depths that she reached.
We have the following expression -
|- 28| > |- 3|
The absolute value of the expression, will be -
28 > 3
Now, 28 is greater than 3.
But is we compare -28 and -3, then -28 is less than -3.
Now, if we compare the depth of 28 m and 3 m below the sea level, then 28 m represent more depth as compared to 3 m.
Therefore, we can write the complete statement as -
−28 is less than −3, but 28 m below sea level is greater depth than 3 m below sea level.
To solve more questions on inequalities, visit the link below-
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a and b are positive integers and a+b=2009!
what is the amount of ordered pairs of (a, b)?
Answer:
[tex]2000 \: and \: 9.[/tex]
[tex]it \: could \: be \: the \: sum \: of \: any \: two \: \\ positive \: integers \: so \: they \: are : \\ 2000 \: and \: 9[/tex]
Let's consider a much smaller value and work our way up to the factorial 2009!
Start with a+b = 2. The value 2 is the smallest right hand side possible since a > 0 and b > 0, so a = b = 1 is the smallest a,b possible.
The only solution to a+b = 2 is a = b = 1 as mentioned.
----------
Now move onto a+b = 3. We have two solutions:
a = 1, b = 2
a = 2, b = 1
-----------
Now move onto a+b = 4. We have three solutions
a = 1, b = 3
a = 2, b = 2
a = 3, b = 1
Note how 'a' counts up while b counts down. I have 'a' starting at the smallest value, and b is set to add with 'a', getting to the right hand side.
So 'a' counts up to 3, while b counts down from 3.
We cannot reach 4 since 0 is not allowed for a or b.
-------------
The conjecture is that a+b = k has k-1 positive integer solutions. A simple proof of this is to list out all solutions like so
a = 1, b = k-1
a = 2, b = k-2
a = 3, b = k-3
....
a = k-3, b = 3
a = k-2, b = 2
a = k-1, b = 1
Where k > 2
Going from 1 to k-1 is exactly k-1 items. It's similar to how {1,2,3,..,m} has m different integers in it. Replace m with k-1 and you have the same idea.
This confirms there are k-1 solutions listed above.
The last step is to simply replace k with 2009! and we have 2009! - 1 different ordered pair solutions
Since the factorial 2009! is so massive, it's best to not expand this out using a calculator. Many calculators would produce "overflow", or similar, if you tried to compute the factorial 2009!
x2 + 6 x+8 = 0
What is the factors
Answer:
Step-by-step explanation:
Sydney is a salesperson who sells computers at an electronics store. She makes a base pay amount each day and then is paid a commission as a percentage of the total dollar amount the company makes from her sales that day. Let P represent Sydney's total pay on a day on which she sells "x" dollars worth of computers. Write an equation that represents P as a function of X
Answer:
P=0.025x+100
Step-by-step explanation:
The y-intercept of the function is 100 which represents the base pay Sydney makes regardless of computer sales.
that's the correct answer^^^
y = 1/40x + 100 is an equation that represents P as a function of X
What is Linear function?A linear function in mathematics is one that has either one or two variables and no exponents. It is a function with a straight line as its graph.
Given, Sydney is a salesperson who sells computers at an electronics store. She makes a base pay amount each day and then is paid a commission as a percentage of the total dollar amount the company makes from her sales that day.
Let the equation of line y = kx + b
Where b is 100
Since the given line passes through (0, 100) and (4000,200)
since For a line k = (y₂ - y₁)/(x₂ - x₁)
Thus, k = (200 -100)/(4000-0)
k = 1/40
Thus,
y = 1/40x + 100
Therefore, an equation that represents P as a function of X is y = 1/40x + 100.
Learn more about Linear Functions here:
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Complete question:
Pls help ASAP for BRAINLIEST
Answer:
-5
Step-by-step explanation:
h(-2)=3(-2)+1
= -6+1
= -5
hope this help you!! :))))))
An electrician cuts a 30 ft piece of wire into 2 pieces. One piece is 2ft longer than the other. How long are the pieces?
Answer:
piece1: 14 feet
piece2: 16 feet
Step-by-step explanation:
piece1: x
piece2: x + 2
x + x + 2 = 30
2x + 2 = 30
2x = 28
x = 14
piece1: x = 14
piece2: x + 2 = 14 + 2 = 16
W(-5,1) reflect it across x=-3
Answer:
(-1,1)
Step-by-step explanation:
Answer ASAP, Find the quadratic equations whose roots are ½ and -5/2
Answer:
4x^2+8x-5
Step-by-step explanation:
You work backwards to get (2x-1) which gets you the root 1/2 and (2x+5) which gets you the root -5/2 after this you foil what you have so (2x-1) times (2x+5). You do 2x times 2x which gives you 4x^2 2x times 5 which gives you 10x -1 times 2x which gives -2x and lastly -1 times 5 which gives you -5 now you combine like terms and get your final answer of 4x^2+8x-5
Suppose the equation of line t is y=x
Answer:
Hi
Step-by-step explanation:
3.3...3 times 12 times equal in exponential form
Answer:
If you mean 3^12 then the answer is 531,441
I need help3
Find the unit rate:
150 students for 5 classes. How many students per class?
Answer:
30
Step-by-step explanation:
150 divided by 5 is 30 i hope this helps
Answer:
The unit rate would be 30 students per class.
Step-by-step explanation: One way to find the unit rate in this scenario, we could divide the total students by the number of classes. (150/5) The simplified fraction would be 30/1, or 30 students per class. Hope this helps!
In order to solve for the variable in the equation 1 minus (x + 2) + 2 x = 5 (2 x minus 5) minus x, Mikel first applies the distributive property. Which equation is a result of this step? 1 minus x + 2 + 2 x = 10 x minus 5 minus x 1 minus x minus 2 + 2 x = 10 x minus 25 minus x 1 minus x minus 1 + 2 x = 10 x minus 25 minus x 1 minus x minus 1 + 2 x = 10 x minus 5 minus x
Answer:
1-x-2+2x = 10x-25-x
Step-by-step explanation:
The given equation is as follows :
1-(x+2)+2x=5(2x-5)-x
We need to solve the above equation.
Firstly opening bracket off LHS and applying distributive property at RHS.
1-x-2+2x=5(2x)-5(5)-x (Distributive property :a(b+c) = ab+ac)
1-x-2+2x = 10x-25-x
So, the correct option is (B) i.e. 1 minus x minus 2 + 2 x = 10 x minus 25 minus x.
Answer:
It's b
Step-by-step explanation:
I got it right on edge
I need help with this asap
Answer:
3\sqrt{3}
Step-by-step explanation:
look this up and it will give you the answer
pls mark brainliest
Answer:
The sqrt of 3 is an irrational number.
The sqrt of 9 is a rational number.
Step-by-step explanation:
Jane baked the kinds of fruit bars shown in the table below.
Kind of Fruit Bar Number
Apple
51
Peach
36
Plum
84
Part A
Jane wants to make baskets of the fruit bars, and she wants to divide each kind of fruit bar equally among the baskets. What is the maximum number of baskets can she make?
Answer:
I THINK the answer is 57
Step-by-step explanation:
Add 51 + 36 + 84
Divide 171 by 57
57 is the most that can go into 171 evenly.
Write 9.84 as a mixed number in simplest form
Answer:
[tex]9\frac{21}{25}[/tex]
Step-by-step explanation:
Simplify the 0.84. It is 84/100, or divided by 4, it is 21/25.
Hope this helped! :))
Answer:
Step-by-step explanation:
Mixed numbers are a whole number and a fraction together
sooo 9.84= 9 84/100 but we can reduce 84 /100 to 42/50 and that can be reduced to 21/25
so write 9 21/25
A state lottery randomly chooses 8 balls numbered from 1 through 37 without replacement. You choose 8 numbers and purchase a lottery ticket. The random variable represents the number of matches on your ticket to the numbers drawn in the lottery. Determine whether this experiment is binomial. If so, identify a success, specify the values n, p, and q and list the possible values of the random variable x.
Answer: No, the experiment is not binomial
Step-by-step explanation:
From the formula for a binomial distribution :
nCx * p^k * q^(n - x)
n = number of trials (fixed)
x = number of success on trial
p = probability of success (which is the same for each trial).
q = (1 - p) = probability of failure (same for each trial)
Binomial experiment have binary outcome ; Either Success or Failure
The experiment described above :
Number of trials is satisfied (8 picks)
Binary outcome (matches on ticket or match does not exist).
Abbey wants to use her savings of $1,325 to learn yoga. The total charges to learn yoga include a fixed registration fee of $35 and a monthly fee of $50. Choose the inequality that would be used to solve for the maximum number of months for which Abbey can learn yoga with her savings.
Answer: 35x+50x_<(less than or equal to)1,325
Step-by-step explanation:
it’s easy and I’m taking the test and got it right
What is 2/3 as a decimal
Answer:
0.66 or 0.67 rounded
Step-by-step explanation:
2/3=
0.66
Answer:
0.6 or 0.666666666666666666666
Mercury is the closest planet to the Sun, with an average distance of 35,000,000 miles. It takes light about 3 minutes to travel from the Sun to Mercury. Neptune is the farthest, with an average distance of 2.8 x 109 miles from the Sun. How many times farther from the Sun is Neptune than Mercury? How long does it take light to reach Neptune? Follow the steps to find out. 1. Write the distance from the Sun to Mercury in scientific notation. Include units with your answer.
Answer:
1.
[tex]2765000000 \: or \: 2.765 \times {10}^{9} [/tex]
2.
[tex]273 \: seconds[/tex]
3.
[tex]3.5 \times {10}^{7} [/tex]
The midpoint of \overline{\text{AB}}
AB
is M(-5, -2)M(−5,−2). If the coordinates of AA are (-3, 4)(−3,4), what are the coordinates of BB?
Answer:
The coordinates of b are: B=(-7,-8)
Step-by-step explanation:
We are given the coordinates of the midpoint of [tex]\overline{\text{AB}}[/tex] as M=(-5,-2).
We are also given the coordinates of A=(-3,4). The question requires us to calculate the coordinates of the other endpoint B.
Let (xb,yb) the coordinates of B. The coordinates of the midpoint can be calculated as follows:
[tex]\displaystyle x_m=\frac{x_a+x_b}{2}[/tex]
[tex]\displaystyle y_m=\frac{y_a+y_b}{2}[/tex]
We know xa=-3 and xm=-5. Solve the first equation for xb:
[tex]2x_m=x_a+x_b\Rightarrow x_b=2x_m-x_a[/tex]
Substituting:
[tex]x_b=2\cdot (-5)-(-3)=-10+3[/tex]
[tex]x_b=-7[/tex]
We can solve the second equation for xb and get:
[tex]y_b=2y_m-y_a[/tex]
Since ya=4 and ym=-2, then:
[tex]y_b=2\cdot (-2)-(4)=-4-4[/tex]
[tex]y_b=-8[/tex]
Thus, the coordinates of b are: B=(-7,-8)
what is 5 groups of 3
Answer:
That is like 3x5 which is 15
Step-by-step explanation:
7+ (-5)+(-2)=0
7+ (5)+(2)=0
7+(-4)+(-3)=0
7+(-6)+(-1)=0
Answer:
1. true
2. false
3. true
4. true
Rasu made some chocolate milk. She added 3 tsp. Of cocoa mix with 2 cups of milk. Farah also made some chocolate milk. She added 5 tsp. Of cocoa mix to 3 cups of milk. Which mixture is more chocolatey flavored (stronger chocolate flavor)? Explain your reasoning.
The correct answer is Farah's mixture
Explanation:
In this situation, how strong chocolate flavor is in the mix depends on the ratio of ingredients as more cocoa leads to a stronger chocolate flavor.
Rasu:
Her ratio was 3 teaspoons of cocoa mix and 2 cups of milk. This can be expressed as 3:2 or [tex]\frac{3}{2}[/tex]. Also, this can be simplified by dividing the amount of cocoa into the amount of milk 3 ÷ 2 = 1.5. This means for each cup of milk Rasu added 1.5 teaspoons of cocoa.
Farah:
The ratio was 5 teaspoons of cocoa mix and 3 cups of milk. So, the ratio is 5 : 3 or [tex]\frac{5}{3}[/tex], which is equal to 1.6. This implies for each cup of milk Farah added 1.6 teaspoons of cocoa. This ratio of cocoa vs milk is higher in Farah, which means he added more cocoa, and her mix would have a stronger chocolate flavor.
A= LWH for L
L=
What’s the answer
Answer:
A ÷ (WH)
Step-by-step explanation:
WILL MARK BRAINLIEST FOR RIGHT ANSWER!!!!! 1×6 square unit rectangular grid has to be covered with six 1×1 square unit tiles. Three of the tiles are yellow, two are white, and one is blue. In how many ways can this task be done if:
a) there are no restrictions
b) no neighbouring tiles should be the same colour
c) at least one pair of neighboring tiles are the same color
Answer:Well the first one is 60
Step-by-step explanation:6!/3!2!=60 thats all i got
Answer:
60 for the first one
Step-by-step explanation:
?
Select the correct answer.
No, they only have 1 corresponding equal angle.
Yes, they have 2 corresponding equal angles
No, they are not the same size.
Yes, they are the same shape.
Help
Answer:
yes they have 2 corresponding equal angles.
(WILL MARK BRAINLIEST)
The graph of f(x) = 2 + 3 is translated to produce
the graph of g(x) = (x + 2)+ 3. In which direction
was the graph of f translated?
A. up
B. down
C. left
D. right
Answer:
down
Step-by-step explanation:
PLSS HELP DUE IN 4 MINS
Answer:
The inverse is 1/2x -1/2
Step-by-step explanation:
f(x) = 2x+1
y = 2x+1
Exchange x and y
x = 2y+1
Solve for y
Subtract 1
x-1 = 2y+1-1
x-1 =2y
Divide by 2
x/2 -1/2 = 2y/2
1/2x -1/2 = y
The inverse is 1/2x -1/2
Bart earns $6.30 per h. If his regular pay last week was $236.25, how many hours did he work?
Answer:
Bart worked 37.5 hours last week (37 1/2).
Step-by-step explanation: Divide total pay by rate per hour (in this case $6.30 per hour.)
$236.25 (the total) / $6.30 (money per hour) = 37.5 or 37 1/2
Write an equation in slope-intercept form if the y-intercept is (0, -4) and the slope is 6?
Answer:
y=6x-4
Step-by-step explanation:
for the y=mx+b format your m is the slope which is 6 and the b is the y intercept which is the 4
Doug's Pizza Shop sells pizza for $12plus $3per topping "t". Jake'sPizza Shop sells pizza for $17plus $2per topping "t". Write an equation that willtell you how many toppings need to be on a pizza from each pizza place to make their pizza the same price.
Answer:
5 toppings
Step-by-step explanation:
Given that :
Doug's pizza:
Sales price of pizza :$12 plus
Topping (t) = $3 per topping
Jake's pizza:
Sales price of pizza :$17 plus
Topping (t) = $2 per topping
To make their pizza the same price, how many topping needs to be on a pizza of each
12 + 3t = 17 + 2t
3t - 2t = 17 - 12
t = 5
5 toppings each