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bob buys a t-shirt for $7.45 he pays with a 20 bill. how much change will he get?
Answer:
12.55
Step-by-step explanation:
Subtract 20 by 7.45
The required amount bob will get in return is given as $12.55.
Given that,
bob buys a t-shirt for $7.45 he pays with a 20 bill, how much change will he get is to be determined.
What is arithmetic?
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
total nill = $7.45
Total money given = $20
Change to return = 20 - 7.45 = $12.55
Thus, the required amount bob will get in return is given as $12.55.
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Simplify the expression
Answer:
f(x) = x - 6 g(x) = x - 5Step-by-step explanation:
[tex]\dfrac{x^2-8x+12}{x^2-7x+10}\\\\x^2-7x+10\ne0\ \iff\ x=\frac{7\pm\sqrt{49-40}}{2}\ne0\ \iff\ x\ne5\ \wedge\ x\ne2\\\\\\\dfrac{x^2-8x+12}{x^2-7x+10}=\dfrac{x^2-2x-6x+12}{x^2-2x-5x+10}=\dfrac{x(x-2)-6(x-2)}{x(x-2)-5(x-2)}=\\\\\\ =\dfrac{(x-2)(x-6)}{(x-2)(x-5)}=\dfrac{x-6}{x-5}\\\\\\f(x)=x-6\\\\g(x)=x-5[/tex]
if xy=5 and x square +y square =25 ,then (x+y)square
Answer:
(x + y)² = 35
Step-by-step explanation:
The expansion of
(x + y)² = x² + 2xy + y²
= x² + y² + 2xy ← substitute given values
= 25 + 2(5)
= 25 + 10
= 35
Answer:
35
Step-by-step explanation:
[tex]xy = 5 \\ \\ {x}^{2} + {y}^{2} = 25 \\ \\ \because \: {(x + y)}^{2} = {x}^{2} + {y}^{2} + 2xy\\ \\ \therefore {(x + y)}^{2} = 25 + 2 \times 5 \\ \\ \therefore {(x + y)}^{2} = 25 + 10 \\ \\ \huge \red{ \boxed{\therefore {(x + y)}^{2} = 35}}[/tex]
In a state, 30% of all people own a scooter, and 41% of all people have a skateboard and bicycle. Find the probability of choosing a person that has a scooter and then choosing another person sequentially who has a skateboard and bicycle? Round answer to nearest tenth and include percent sign.
Answer: 50%.
Step-by-step explanation: If someone went shopping for a scooter and it was $49.99 dollars but saw a skateboard for $14.99, they would choose the skateboard because it’s cheaper. If someone else went to the store because they wanted a skateboard but then they saw a scooter for $23.99 and a bike for $19.99 there is a 50% chance they will choose the cheaper one. (I hope this ,add sense
The probability is given by the equation P = 12.3 %
What is Probability?The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
Probability = number of desirable outcomes / total number of possible outcomes
The value of probability lies between 0 and 1
Given data ,
Let the probability of choosing a person that has a scooter and then choosing another person sequentially who has a skateboard and bicycle be P
Now , the equation will be
Let the probability of selecting a person owing a scooter A = 30 %
Let the probability of selecting a person owing a scooter A = 0.3
Let the probability of selecting a person owing a skateboard and bicylce be B = 41 %
Let the probability of selecting a person owing a skateboard and bicylce be B = 0.41
Now ,
Probability of choosing a person that has a scooter and then choosing another person sequentially who has a skateboard and bicycle P = probability of selecting a person owing a scooter A x probability of selecting a person owing a skateboard and bicylce B
Substituting the values in the equation , we get
Probability of choosing a person that has a scooter and then choosing another person sequentially who has a skateboard and bicycle P = A x B
Probability of choosing a person that has a scooter and then choosing another person sequentially who has a skateboard and bicycle
P = 0.3 x 0.41
P = 0.123
Hence , the probability is P = 12.3 %
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(3 + 4i) + (5 − 2i) (2 points) −2 + 6i 2 − 2i 7 + 3i 8 + 2i
Answer:
8+2i
Step-by-step explanation:
Combine like terms
3+5=8
4i-2i=2i
Answer: 8 + 2i
Step-by-step explanation:
1) Rewrite the two complex numbers in standard form: (3 + 4i) + (5 − 2i) = 3 + 5 + 4i - 2i = 3 + 5 + 2i
2) Add the real parts and the imaginary parts separately: Real parts: 3 + 5 = 8 Imaginary parts: 2i + (-2i) = 0
3) Put the results in standard form: 8 + 0i = 8 + 0i = 8 + 0i = 8 + 0i = 8 + 0i = 8 + 2i
Use the information to answer the following question.
The table shows the cost of various products at a store.
Item Cost
T-Shirt 0.75x
Jeans 4x-5
Hat 2x+4
Gary has (10x + 7) dollars. If Gary decides to buy two pairs of jeans, what expression can be written to represent how much money Gary will have leftover after the purchase? Write the expression and then simplify the expression. (Explain)
PLEASE HELP! FIRST TO ANSWER AND I'LL MATK YOU BRAINLIEST! I MEAN IT"S ONLY 7TH GRADE MATH!!!!!!
an antelope running started and covered 1,110 feet in 15 seconds. what is the antelopes speed in feet per second. plz show your work.
help pls
6 x (2-8) + 4
Answer:
-32
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
In Solving This You will Need To;
*First You Open The Bracket Which is
6×(2-8)+4
6×2-8+4
*So after this you will multiply the 6 by the 2 which is going to be;
12-8+4
*So after you have multiplied 6 by 2 you can choose to subtract the 8 from the 12 or you can also choose to add the -8+4 either way you choose you're going to arrive at the same answer. So I choose to subtract 8 from the 12 so it's going to be;
4+4
Then you add the four plus 4 so the final answer will be 8
(If I chose to add the -8+4 it would have been -4 so 12-4 would have also given me 8 so any step is acceptable)
Bridget, Jim and Krutika share some sweets in the ratio 2:1:1. Bridget gets 24 sweets. How many sweets are there altogether?
Answer:
48
Step-by-step explanation:
Bridget = 2 x 12 = 24
Jim = 1 x 12 = 12
Krutika = 1 x 12 = 12 ---> 24 + 12 + 12 = 48
PLEASE HELP find the sins of z
Answer:
It's easy
Step-by-step explanation:
Check the attachment for your answer
Here is the same number machine.
Input
Output
x 2
+ 3
17
Work out the input when the output is 17.
Hi! Can someone answer and explain how you got that answer? I’m practicing for the asvab, if you can explain in the most simplified way, it’d be much appreciated
Answer:
D.)
Step-by-step explanation:
multiply every side by 5 since it's a square each side is equal!
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Which Linear function is represented by the graph?
•f(x)-2x +1
•f(x)= -1/2x +1
•f(x)= 1/2x + 1
•f(x)= 2x + 1
Answer:
the second one
slope is negative go down one right 2
What is the simplified value of the expression below?
12.4 x (negative 6.3)
Answer:
78.12
Step-by-step explanation:
Answer:
78.12
Step-by-step explanation:
The sum of 324 and 135 is 503. Which number base was used for this calculation.
Answer:
Base 6 was used
Step-by-step explanation:
Here, we want to find which number base was used for the addition calculation
We start by adding the two end numbers
4 + 5 = 9
But 3 was recorded;
That means we can have 6 as the number base( 9/6 = 1 r 3)
We still continue to verify this;
The next addition is 2+3 = 5, adding the 1 brought forward, we have 6, but 0 was recorded
6/6 is (1 r 0)
This still further corroborated the earlier assertion;
then lastly 3 + 1 + 1 (1 brought forward); 5
This was recorded directly to show that the base in question is not less than 5
Hence our base of addition is base 6
What is the answer to: two minus a number x is no more than 0
Answer:
x > 2
General Formulas and Concepts:
Order of Operations: BPEMDASStep-by-step explanation:
Step 1: Translate
"Two" = 2
"minus" = subtraction
"a number x" = x
"is no more than" = <
"0" = 0
Step 2: Set up inequality
2 - x < 0
Step 3: Solve for x
Subtract 2 on both sides: -x < -2Divide both sides by -1: x > 2Here we see that any value larger than 2 would work as a solution of x.
Does this graph represent a function? khan academy
Answer:
yes
Step-by-step explanation:
its a graph
Answer:
No
Step-by-step explanation:
It isn't a positive linear association nor a negative linear association. If you were to connect those lines, it would not be a linear function of any kind of association.
Ms. Lai loves soup. This weekend she visited each of her family member’s house to drink their soup. She drank 2 cups of soup at her aunt’s place, 4 pints of soup at her uncle’s place, and 2 quarts of soup at her dad’s place. Can you find out how many ounces of soup she drank this weekend???? Give explanation this is due in 15 min HELPP pleaseee
Answer:
112 Ounces
Step-by-step explanation:
2 Cups + 4 Pints + 2 Quarts = 14 Cups
14 Cups = 112 Ounces
Answer:
144 ounces of soup
Step-by-step explanation:
2 cups= 16 ounces
4 pints= 64 ounces
2 quarts= 64 ounces
64+64+16=144
NEED YOUR HELP ASAP!!!!!
Carey correctly graphs a linear function. The slope of the functions is -1. The y-intercept is 3. Which is carey's graph?
Answer: You didn't show us the graphs so we can't tell you.
Step-by-step explanation:
I really need help on this ASAP
What is the equation of a line that passes through the points (3,6) and (8, 4)?
Answer:
y=-2/5x+36/5
Step-by-step explanation:
Simplify this please (multi choice)
Help me I will give u brainlest
Answer:
(4,0)
Step-by-step explanation:
plz give brainliest!
Answer:
4,0
Step-by-step explanation:
What is the sales tax on a $14,500 truck if the tax rate is 9%? (not the total cost)
Answer:
$1,305
Step-by-step explanation:
14500x0.09=1,305
A gardener is installing fence around his garden. Let x represent the width of the garden, in feet. The perimeter of the garden is 8x + 8. Which expression represents the length of the garden?
1. 2x + 2
2. 3x + 4
3. 6x + 8
4. 8x + 8 – 2x
Answer:
2. 3x + 4
Step-by-step explanation:
What we know:
w=x
Perimeter (p) = 8x+8
Formula for perimeter p =2(L+W)
8x+8 = 2(L+W)
L+W is half, so
L+W = 4x+4
Substract W on both sides;
L = 4x+4 -W
We know that W = x
So
L= 4x+4-x
4x-x= 3x
L= 3x+4
In right triangle ABC, altitude CD is drawn to its hypotenuse. Select all triangles which must be similar to triangle ABC.
Answer: ABC, ACD, CBD
Step-by-step explanation: I just did this problem and got it wrong. It then gave me the correct answer which is ABC, ACD, CBD.
The triangles that should be similar to triangle ABC is ABC, ACD, CBD.
What is the right triangle:
It is known as the rectangled triangle where the one angle should be treated as the right angle or here the two sides should be perpendicular. The relationship between the sides and the other angles should depend upon the trigonometry
Therefore, The triangles that should be similar to triangle ABC is ABC, ACD, CBD.
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I'm not sure what to do about this problem, so please help me out.
Answer:
21
Step-by-step explanation:
Let the three consecutive integers be;
x , x + 1 and x + 2:
The sum of squares of the two smaller numbers:
The two smaller numbers are x and x+ 1
Sum of their squares:
x² + (x+1)²;
x² + x² + 2x + 1 = 2x² + 2x + 1
It is 45 more than the square of the larger number:
Larger number = x + 2
(x+2)² = x² + 4x + 4
45 more;
x² + 4x + 4 + 45 = x² + 4x + 49
Both are equal:
2x² + 2x + 1 = x² + 4x + 49
2x² - x² + 2x - 4x + 1 - 49 = 0
x² - 2x - 48 = 0
x² - 6x + 8x - 48 = 0
x(x - 6) + 8(x - 6) = 0
(x + 8)(x-6) = 0
x + 8 = 0 or x - 6 = 0
x = -8 or x = 6
We choose x = 6 because it makes the solution true as a positive integer
Sum of the three numbers:
x + x + 1 + x + 2 = 6 + 6 + 1 + 6 + 2 = 21
Factor 3x^2 + 7x + 2
Answer:
(x+2)(3x+1) are the factors
Answer:
(3x+1)(x+2)
Step-by-step explanation:
I don't know how to explain it but that's what I got.
I hope it's right!
We're doing writing equations with Point & Slope
through: (5,1) slope= 4/5
good luck lol
Answer:
y = 0.8x - 3
Step-by-step explanation:
See attached screenshot solution using Desmos
You can use the expression 2e+2w to find the perimeter of a rectangle where e is the length and w is the width. Interpret the coefficients of the terms.
Answer: The coefficient of terms is 2 represents length of 2 equal and opposite sides of rectangle.
Step-by-step explanation:
A rectangle is a 4 sides closed quadrilateral where opposite sides are equal .
So , length of one pair of opposite is represented by 'l' [l= length]
Such that sum of these two sides = l+l=2l
The other pair of opposite sides s represented by 'w' [w= width]
Such that sum of these two sides = w+w=2w
Perimeter is the sum of sides.
So, perimeter of rectangle = 2l+2w.
The coefficient of terms is 2 represents length of 2 equal and opposite sides of rectangle.