Answer:
$13500. 00 is the 15% increase yearly + $90000.00 = $103,500.00 new yearly salary
A rectangle has a width of 2.5 inches and a length of x inches. The value of the perimeter of the rectangle is equal to the value of the area of the rectangle. Graph a system of linear equations to find x .
Answer:
Step-by-step explanation:
W=2.5, L=x
A=LW=2.5x
P=2(L+W)=2(2.5+x)=5+2x
P=A
5+2x=2.5x
5-0.5x=0
-0.5x=-5
x=10
Find the solution set of the inequality
- 4x +35> 2−4x+35>2minus, 4, x, plus, 35, is greater than, 2
xxx
Answer:
[tex]\boxed{\textsf{ Hence the solution set is$ \bf{\bigg( \dfrac{33}{4},\infty \bigg) }$}}.[/tex]
Step-by-step explanation:
A inequality is given to us and we need to find the solution set. So the given inequality to us is ,
-4x + 35 >2[tex]\bf\implies -4x + 35 > 2 \\\\\bf\implies -4x > 2-35 \\\\\bf \implies -4x > -33 \\\\\bf \implies x >\dfrac{-33}{-4}\\\\\bf \implies x > \dfrac{33}{4} \\\\\bf\implies \boxed{\pink{\bf x \in \bigg(\dfrac{33}{4}, \infty \bigg) }}[/tex]
★ Hence the solution set is x € ( 33/4 , ∞ ).Answer:
Step-by-step explanation:
5
How do I solve this? I need step by step
y=2x
x=-y+6
Notice that y = 2x, which means you can replace any y and turn them into 2x
x = -y + 6
x = -(2x) + 6
Move the x terms to the left and change the sign
x + 2x = 6
3x = 6
x = 2
Now that you know x, substitute them back into the first y = 2x
y = 2(2)
y = 4
Answer: x = 2, y = 4
Given the exponential equation, y = 100(1/5)x, circle the letter that accurately describes the table of values:
A. Increasing by a multiplication of 5. B. Increasing by an addition of 5.
C. Decreasing by a division of 5. D. Decreasing by a subtraction of 5.
Answer:
the answer is D.
Step-by-step explanation:
A bag contains 14 blue, 6 red, 12 green, and 8 purple buttons. 25 buttons are removed from the bag randomly. How many of the removed buttons were red if the chance of drawing a red button from the bag is now 1/3?
Answer:
1 button.
Step-by-step explanation:
Total buttons = 40
Total red buttons = 6
Total Buttons removed =25
Buttons left = 40–25 = 15
Let the red buttons left = x
1.)Then, the probability of red buttons after removing 25 buttons = x/15 outcome / Total outcome)
2.)Probability of red buttons in the bag after removing 25 buttons is 1/3 (As given in the question)
Comparing Statement 1.) & 2.) , We get
x/15 = 1/3
x = 5
So the red buttons left = 5
Total red buttons= 6
Red buttons removed = 6–5= 1
Hence, only 1 button was red in the 25 removed buttons
There is only one red button in the removed buttons if it has a chance of drawing a red button from the bag after removing 25 buttons from the bag with 14 blue, 6 red, 12 green, and 8 purple buttons is 1/3. This is obtained by equating the probability of getting red buttons from the bag after removing 25 buttons with the given probability of red buttons.
What is probability?Probability is the measure of the likelihood of an event occurring.
Probability is given by the ratio of the number of favorable outcomes with respect to an event to the total number of possible outcomes.
[tex]p(A) = \frac{n(A)}{n(S)}[/tex]
p(A) is the probability of event A
n(A) is the number of outcomes with respect to A
n(S) is the total number of possible outcomes
Calculating the number of red buttons:Given that a bag contains 14 blue, 6 red, 12 green, and 8 purple buttons.
So the total number of buttons in the bag = 40
It is given that 25 buttons are removed from the bag randomly
thus, the remaining buttons in the bag = 40 - 25 = 15
It is given that the probability of drawing a red button from the bag after removing 25 buttons is 1/3
So, for finding the number of red buttons in the bag after removing we can write,
n(A) = p(A) × n(S)
here, A is the event of drawing the number of red buttons and p(A) = 1/3 and n(s) = 15 (after removing)
Thus, the number of red buttons in the bag after removing = [tex]\frac{1}{3}[/tex] × 15 = 5
So, the number of red buttons left in the bag = 5
then, the red buttons removed from the bag = 6 - 5 = 1
Therefore, only 1 red button is removed from the bag.
Learn more about probability here:
https://brainly.com/question/21278788
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Find the slope of the line that passes through: (2, 4) and (6, 12)
Answer: i dont know the answer bc i dont have the graph.
Step-by-step explanation:
but if you follow the line they should give you to in between
the two points you should find the answer. i hope this helped some what.
Jake bought some blueberries for $6 per pound and some strawberries for $4 per pound. He spent a total of $36. Which graph represents all the possible combinations of blueberries (b) and strawberries (s) that Jake could have bought?
The equation for the all-out number of blueberries and strawberries.
6x + 4y = 36
An equation is a mathematical explanation that is comprised of two expressions associated with an equal sign.
2x + 3 = 9 is an equation.
We have,
Cost of one pound of blueberries = is $6
Number of pounds of blueberries = x
Cost of one pound of strawberries = is $4
Number of pounds of strawberries = y
The equation for the all-out number of blueberries and strawberries.
6x + 4y = 36
In its most straightforward structure in algebra, the meaning of an equation is a numerical explanation that shows that two numerical expressions are equivalent. For example, 3x + 5 = 14 is an equation, where 3x + 5 and 14 are two expressions isolated by an 'equivalent' sign.
to know more about equations click here:
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Solve for the quotient 8498 / 70
Answer:
121.4 is the answer ❣️
Answer:
The answer I got is 121.4
b + 4.8 = 8.09
b + 4.8 x = 8.09x
b =
Suppose you are asked to pick 4 numbers from 1 to 20 to win a prize. What is the probability that one of the numbers you will pick is the winning number?
what is the combined weight of all the kittens? 1/4 = 4 3/8=2 1/2=2 5/8=2
Answer:
5 pounds
Step-by-step explanation:
Round 32629 nearest thousand
Answer:
33000
Step-by-step explanation:
this is because you have to look at 2 then look at the number next to 2 if it is 5 or above make the 2 a 3.. then the answer is 33000
Hope this helped! <3
Write an equation of the line that passes through the given point and is parallel to the given line.
(4, 3); y = –x + 5
Remember that the standard form of a line equation is y = mx + b. Since you need a line that is parallel to y = 5x - 2, the first thing to do is use the same slope (m), which is 5 in this case.
The new line would look like this: y = 5x + b. I use "b" instead of -2, since we'll calculate a "b" for the new line by substituting the given point of (2, -1) into y = 5x + b.
-1 = 5*(2) + b
b = -11
The parallel line that goes through (2,-1) is y = 5x - 11
The new line is the blue, on the right. Note that it is parallel to the original (green) line and also intersects at (2, -1). (Each chart is is 0.5 unit).
Answer:
Remember that the standard form of a line equation is y = mx + b. Since you need a line that is parallel to y = 5x - 2, the first thing to do is use the same slope (m), which is 5 in this case.
Step-by-step explanation:
Lee is forming kickball teams that include all of the students who signed up from two schools. Each team must have the same number of players and be from the same school. What is the greatest number of players Lee can put on each team?
Answer:
The answer is (12 players)
Step-by-step explanation:
2 x 2 x 3 = 12
36 - 12 = 24
2.
Fill in each missing reason.
Given: 10x - 4y= 1; X = 2
Prove: 19/4=y
Answer:
y = 19/4
Step-by-step explanation:
replace x by 2
then 10 × 2 = 20
switch the 20 to the other side and subtract 20 from 1
it will be -19
and -4 will go to the other side as a divide and -
z
-19 / -4 = 19/4
find the first four terms of the sequence given by the following an=57-4(n-1),n=1,2,3
Answer:
57, 53, 49, 45
Step-by-step explanation:
Substitute for the n for n=1,2,3,4 so the first term is 57-4(1-1) so =57-4(0) so
a(1) = 57-0 = 57 so that is the 1st term
2nd term 57-4(2-1) so =57-4(1) so a(2) = 57-4 = 53, etc.
factorise x squared - 2 x - 24
Answer:
-2(x+12)
Step-by-step explanation:
Twelve pounds of beans are distributed equally into 8 bags to give out at the food bank.
How many pounds of beans are in each bag?
Enter your answer in the simplest form.
Answer:
1 1/2 or 1.5
Step-by-step explanation:
12 divided by 8
brainliest?
someone plz help meee
Answer:
33d
Step-by-step explanation:
33 is the total fish in each tank
d represent the number of tanks
To find the total fish we multiple 33 and d
33 x d = total fish
so 33d is the correct expression
HELP, i’m really struggling and having a hard time
Answer:
G
Step-by-step explanation:
9. April's test scores in physics are 78, 85,65, 82, 90, and 95. Find the mean
and standard deviation of the data.
Answer:
82.5
Step-by-step explanation:
the mean and standard deviation of the data is 82.5
Answer:
82.6666667 or 82.7
Step-by-step explanation:
79+85+65+82+90+95=496
496 divided by 6=82.6666667
Your restaurant bill is $28.35. Find the amount of TAX you would pay for your dinner if the tax is 6%. (Round to the nearest cent.)
Answer:
The tax is $1.70
Step-by-step explanation:
Divide 28.35 by 100 then multiply by six. This is how you reach 6%
4x + 3y = 1
x - 3y = -11
Answer:
(- 2, 3 )
Step-by-step explanation:
Given the 2 equations
4x + 3y = 1 → (1)
x - 3y = - 11 → (2)
Adding the 2 equations term by term will eliminate the y- term
5x + 0 = - 10
5x = - 10 ( divide both sides by 5 )
x = - 2
Substitute x = - 2 into either of the 2 equations and solve for y
Substituting into (1)
4(- 2) + 3y = 1
- 8 + 3y = 1 ( add 8 to both sides )
3y = 9 ( divide both sides by 3 )
y = 3
solution is (2, - 3 )
Answer:
x=-2, y=3
Step-by-step explanation:
4x + 3y = 1.......... Equ 1
x - 3y = -11...........Equ 2
5x=-10
x=-2
From equ 1
4x + 3y =1
4(-2)+3y=1
-8+3y=1
3y=1+8
3y=9
y=3
a letter to your friend telling him about your best subject
Answer:
Writing a letter to a friend about my favorite subject.
Explanation:
ABC Apartments
New South Block
New Delhi
10 May, 2015
My dear friend Ankush,
How are you? I hope everything is going well and you are fine. I am also fine and doing okay.
I am writing to you in response to your last letter. You asked me which subject I love the most and unlike you, I am no math wizard. But I do love literature, so we are poles apart. All jokes aside, I love literature as it is a way for me to be transported to a whole different world and it gives me the space to enjoy. Just like you love math, I also love books, stories, and all the like. It is a form of escape for me and it has become more of an obsession than mere interest.
Anyway, books provide me a sense of being in my own world, where I can meet different people and be transported to different periods in history. This is my way of being involved and learning about the cultures of the world.
I hope I didn't make you bored. But as you used to say, we all have our likes and dislikes, but that's what makes us who we are.
Please come visit me whenever you have a holiday. Hoping to see you soon.
Take care.
Your best friend,
Rahul.
Water is pumped out of a 500-gallon tank at a rate of 2.5 gallons per second. The inequality 500−2.5t<100 can be used to determine the time t in seconds, after which there will be less than 100 gallons of water remaining in the tank.
Answer:
[tex]160\ \text{s}[/tex]
Step-by-step explanation:
The inequality that represents the situation is
[tex]500-2.5t<100[/tex] where [tex]t[/tex] is the time in seconds
[tex]\Rightarrow -2.5t<100-500[/tex]
[tex]\Rightarrow -2.5t<-400[/tex]
[tex]\Rightarrow 2.5t>400[/tex]
[tex]\Rightarrow t>\dfrac{400}{2.5}[/tex]
[tex]\Rightarrow t>160\ \text{s}[/tex]
So, the time after which there will be less than 100 gallons of water is [tex]160\ \text{s}[/tex].
Gavin bought two iPhone chargers. His reward card at the store staples save him $4. He only had to pay $16. How much money did each iPhone charger cost?
Answer:
$10 was for each charger
Step-by-step explanation:
16/2 = 8
and if you add 2 for each charger it makes 10 for each charger without the $4 discount
please help
A flower bed is in the shape of a triangle, with a base of 15 feet and a height of 9 feet. What is the area of the flower bed?
24 square feet
32.5 square feet
67.5 square feet
135 square feet
Answer:
Option c - 67.5
Step-by-step explanation:
Base= 15
Height = 9
Area= 1/2 x b h = 1/2 x 9 x 15 = 67.5 feet
bag contains 16 balls 4 are blue. how what percentage of balls are blue ?
Answer:
25% is the answer. 4 is 25% of 16.
PLSSS HELP SOMEONE PLEASE HELP
Answer:
i) 68
ii) 87
iii) 124
iv) 81
Step-by-step explanation:
hope that helped :)
Matteo spends a total of 38 min exercising. He walks for 6 min to warm up and then runs at a constant rate of 8 min per mile for the rest of the time. Matteo says that he ran 4.78 mi. Is he correct?
Answer:
yes, he is correct
Step-by-step explanation:
