Answer:
[tex]\frac{y^7z^3}{x}[/tex]
Step-by-step explanation:
When variables have negative exponents, switch their positions.
[tex]\frac{x^{-1}y^7}{z^{-3}}=\frac{y^7z^3}{x}[/tex]
Solve the following problems using equations. Show your working steps clearly.
1. Four years ago, the age of Paul was twice that of John. John is 18 years old now. How old is Paul now?
2. Five bottles of milk cost $4.4 more than four bottles of juice. If one bottle of milk costs $3.2, find the cost of one bottle of juice.
3. Miss Cheung spends 1/8 of her savings on personal ornaments and 5/6 on clothing. If her savings still has $130 left, find the original amount of her savings.
1.
Paul's present age = x
John's present age = 18
Paul's age 4 years ago = x - 4
John's age 4 years ago = 18 - 4 = 14
Also,
Paul's age four years ago was twice that of John's age four years ago.
Therefore,
Paul's age 4 years ago = 2(14)
= 28
Paul's age 4 years ago = x - 4 = 28
x - 4 = 28
x = 28 + 4
x = 32
Therefore, the present age of Paul is 32.
2.
Cost of one bottle of milk = $3.2
Cost of five bottles of milk = $3.2 × 5 = $15
Cost of four bottles of juice = $15 - $4.4
= $10.6
Cost of one bottle of juice = x
= Cost of four bottles of juice
4
= 10.6
4
= 2.56
Therefore, one bottle of juice costs $2.56.
3.
Savings spent on personal ornaments = 1/8
Savings spent on clothing = 5/6
Total savings spent = 1/8 + 5/6
= 3/24 + 20/24
= (3+20)/24
= 23/24
Savings left = 1/24 = $130
Total amount of savings = x
As 130 is one part of the total savings,
Total amount of savings =
x = 130 × 24
x = 3120
Therefore, original amount of savings is $3120.
A square has a a side lenght of 5 feet what is its area?
Answer:
25 sq feet
Step-by-step explanation:
Length = 5 feet
Area = (Length)²
= 5²
= 25 sq feet
eg jammu jdndhdbshsbsbs
Answer:
A: [tex]3\frac{1}{3}[/tex]
B: [tex]3\frac{2}{3}[/tex]
I hope this helps!
pls ❤ and mark brainliest pls!
can you help me to solve this
Answer:
<B = <C(angles in a isoceles traingle)
Answer:
angle B is equal to angle C because it's a isosceles triangle with two equal sides and two equal angles
calculate the absolute value
| 4 - 3x | = 5x + 4
Recall the definition of absolute value:
• |x| = x if x ≥ 0
• |x| = -x if x < 0
So we have 2 cases to consider:
• If 4 - 3x ≥ 0, then |4 - 3x| = 4 - 3x, and we have
4 - 3x = 5x + 4
8x = 0
x = 0
• If 4 - 3x < 0, then |4 - 3x| = -(4 - 3x) = 3x - 4, which gives
3x - 4 = 5x + 4
2x = -8
x = -4
However, keep in mind that |x| is always non-negative. If x = -4, then the right side of the equation becomes
5(-4) + 4 = -20 + 4 = -16 < 0
so the solution in this case is extraneous.
-3(-2w+3y-6) what’s the answer
[tex] - 3( - 2w + 3y - 6) \\ = 6w - 9y + 18[/tex]
I hope I helped you^_^
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]6w-9y+18[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Simplifying the Expression...}}\\\\-3(-2w+3y-6)\\-------------\\\rightarrow -3 * -2w = 6w\\\\\rightarrow -3 * 3y = -9y\\\\\rightarrow -3 * -6 = 18\\\\\rightarrow -3(-2w+3y-6)= \boxed{6w-9y+18}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Graph step by step:
f(x)=-2x+1
Step-by-step explanation:
Root:(1/2, 0)
Domain: x∈R
Range: y∈R
Vertical intercept: (0, 1)
Okay imma ask a question and The first person to answer and get it correct wins and I will give you a Brillantest
196x84-23+56-109+54x345-56+34x856=
Answer:
yoooo it equals 1
Step-by-step explanation:
Use the number line to answer the question. Each tick represents 1 unit.
Describe the location of point K.
four more than M
three more than L
seven less than N
two less than J
Please be fast!!
Answer and Step-by-step explanation:
Essentially, you are describing the position of point K using the location of the other points on the graph.
Let's start listing some descriptions:
K is:
3 more than H
2 more than J
3 less than L
4 less than M
7 less than N
12 less than P
Now look at the answer choices and compare it to what we wrote.
We see that the answer choices A, B, and D are incorrect (based on what we wrote), and that answer choice C is correct.
[C. 7 less than N] is the correct answer.
#teamtrees #PAW (Plant And Water)
I hope this helps!
Answer: LESS THAN FOUR
Step-by-step explanation:
I’ll give you 50 points if it’s answer correctly
Answer:
. The line passes through the quadrants I, II and III. ii. The line intersects the Y-axis at (0, 1).
six quarts of paint is equally shared among 9 artists. how many quarts of paint does each artist get?
Answer:
2/3 quarts
Step-by-step explanation:
Paint used by 9 artists = 6 quarts
So, paint used by 1 artist if shared equally among the 9 artists
= 6 quarts/9
= 2/3 quarts
= 0.6666...... quarts
Rounding to the nearest hundredth, each artist would get approximately 0.67 quarts of paint.
To determine how many quarts of paint each artist gets when six quarts of paint are equally shared among nine artists, we can divide the total amount of paint by the number of artists. 6 quarts ÷ 9 artists = 0.6667 quarts per artist
To "equally share" means to divide or distribute something equally among a group of individuals or entities. It implies that each person or entity involved receives an equal portion or share of the item being distributed. This division ensures fairness and equal opportunities for everyone involved. The goal is to ensure that each recipient receives an equal amount or proportion of the item being shared.
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simplify y + 5 - y - 6
Answer:
-1
Step-by-step explanation:
Subtract the numbers: y+5-y-6
Combine like terms: y-1-y
= -1
Aim: I can solve two-step word problems involving per
1. A supermarket stocks 300kg of potatoes. 25% of the potatoes are
are sold in 1.5kg bags. What mass of potatoes are sold in 1.5kg b
Answer:
75 kg
Step-by-step explanation:
300*25/100
3*25
75 Kg
Answer:
75kg
Step-by-step explanation:
potatoes are stocked =300kg
25% of potatoes in kg= 25% * 300kg
=75kg
75kg potatoes are sold in 1.5kg bags.
Help please! Describe how figure 20 will look like
9514 1404 393
Answer:
Each colored block in Figure 20 will be a 20×20 square of smaller squares of the same color. The red-green pattern will be identical.
Step-by-step explanation:
Each colored block in Figure N is an N×N array of small blocks the same color. The pattern of red and green N×N blocks is the same from one figure to the next. We expect Figure 20 to fit this description.
evaluate the expression
Step-by-step explanation:
13
[tex]3 + (20 \div 5) - ( {2}^{2}) [/tex]
[tex]3 + 4 - 4 = 3[/tex]
15
[tex] \frac{10 - {3}^{2} }{20 - (3 \times 4)} [/tex]
[tex] \frac{10 - 9}{20 - 12} [/tex]
[tex] \frac{1}{8} [/tex]
(c) 5 points possible (graded) The problem you encountered in part (b) is called separation . It occurs when the can be perfectly recovered by a linear classifier, i.e., when there is a such that In order to avoid this behavior, one option is to use a prior on . Let us investigate what happens if we assume that is drawn from a distribution, i.e., What is the joint log likelihood of this Bayesian model
We have that these are the key points given below
The Bayesian Theorem is a theorem that centers or basis its claim on the facts that the probability of an event occurring is based on Prior Knowledge that of situation or Prior factors of the Event.
Likelihood function is a function that take into account all statistical model and determine there best application given the statistical data given.
Bayesian Theorem
The Bayesian Theorem is a theorem that centers or basis its claim on the facts that the probability of an event occurring is based on Prior Knowledge that of situation or Prior factors of the Event
i'll explain further with an example
Given that when two unfair dice are thrown a 100 times the probability of getting the higher figure in the range of 6-8 , Therefore the Bayesian Theorem simply assumes that this range of 6-8 to be the highest for all 100 throws of two dice.
The Bayesian model is given as
[tex]B=Prior * Likelihood=Posterior * Marginal[/tex]
Bayesian model is a statistical model.
This leads us to the definition of the Likelihood function
Likelihood function is a function that take into account all statistical model and determine there best application given the statistical data given.
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Select all of the following that have the same value as 30,452.
A. (3 x 1,000) + (4 x 100) + (5 x
10) + (2 x 1)
B. (3 x 104) + (4 x 10') + (5 x 10²) + (2 x 10')
C. 30,000 + 400 + 50 + 2
D. thirty thousand, four hundred fifty-two
E. (3 x 104) + (4 x 10²) + (5 x 10') + (2 x 10°)
F. thirty-four thousand, fifty-two
Considering the values of each digit, the expressions that have the same values as 30,452 are given by:
C. 30,000 + 400 + 50 + 2.
D. thirty thousand, four hundred fifty-two
What are the values of the digits in a number?We start at the final digit, the unit digit, with value 1, and moving to left, each digit has a value multiplied by 10.
Hence, for number 30,452, we have that:
Digit 2 has a value of 1.Digit 5 has a value of 10.Digit 4 has a value of 100.Digit 0 has a value of 1000.Digit 3 has a value of 10,000.Hence the number, multiplying each digit by it's value, can be written as:
C. 30,000 + 400 + 50 + 2.
The number is also read as:
D. thirty thousand, four hundred fifty-two
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Help ASP!
Sarah has 80 pennies. Lou
has 10 times as many
pennies as Sarah.
Joe has 1/10 as many
pennies as Sarah. How many
pennies do Lou
and Joe have together?
(2x-5)3 =Alguien sabe cual es el resultado de esta operación
Answer:
6x - 15
Step-by-step explanation:
(2x - 5)3
3(2x) - 3(5)
6x - 15
Jimmy's dog weighed 60 pounds 4 months ago. Since then his weight has increased by 6% How much does Jimmy's dog weigh now
Answer: 3.6
Step-by-step explanation:
Answer:
63.6 pounds
Step-by-step explanation:
Jimmy's dog's weight was 60 pounds 4 months ago and now it is weighing 6% heavier.
So 6% of 60 is
[tex]\frac{x}{60} *100=6[/tex]
x=360/100
x=3.6
So Jimmy's dog weighs 60+3.6=63.6 pounds
What is the Answer to 50 + 10 x 0 + 7 + 2
Arithmetic involves carrying out addition, subtraction, division and multiplication on numbers and expressions. The result of [tex]50 + 10 \times 0 + 7 + 2[/tex] is [tex]59[/tex]
Given that:
[tex]50 + 10 \times 0 + 7 + 2[/tex]
To do this, we apply BODMAS.
First, we evaluate all multiplication operations
[tex]50 + 10 \times 0 + 7 + 2 = 50 + 0 + 7 + 2[/tex]
Then evaluate all addition operations
[tex]50 + 10 \times 0 + 7 + 2 = 59[/tex]
Hence, the result of [tex]50 + 10 \times 0 + 7 + 2[/tex] is [tex]59[/tex]
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Whats the answer for this question
Answer:
m+5
Step-by-step explanation:
4m+5-3m
1m+5
the locations of a house, market, and library from a right triangle as shown in the diagram
Please help quick!!
find the defference between 5 2/7 and 2 2/4
Answer: 39/14
Step-by-step explanation:
Given
5 2/7 - 2 2/4
Convert mixed fraction to improper fraction
5 2/7 = (5 × 7 + 2) / 7 = (35 + 2) / 7 = 37/7
2 2/4 = (2 × 4 + 2) / 4 = (8 + 2) / 4 = 10 / 4 = 5/2
Find the common denominator for 37/7 and 5/2
First 10 multiples of 2 = 2, 4, 6, 8, 10, 12, 14, 16, 18, 20
First 5 multiples of 7 = 7, 14, 21, 28, 35
Since 14 is the first common multiple in the lists, 14 would be the common denominator of 37/7 and 5/2
Convert to the common denominator
(37 × 2) / (7 × 2) = 74 / 14
(5 × 7) / (2 × 7) = 35 / 14
Simplify by subtraction of numerator
=74/14 - 35/14
=(74 - 35) / 14
=[tex]\boxed{\frac{39}{14} }[/tex]
Hope this helps!! :)
Please let me know if you have any questions
are these two line parallel to each other??
Answer:
No
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 )
y = 3x + 1 ← is in slope- intercept form
with slope m = 3
Calculate the slope using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2,4) and (x₂, y₂ ) = (4, 12) ← 2 ordered pairs from the table
m = [tex]\frac{12-4}{4-2}[/tex] = [tex]\frac{8}{2}[/tex] = 4
Parallel lines have equal slopes
The slope of these 2 lines are not equal , thus not parallel
Determine a quadratic equation that has 7 and -4 as solutions.
Answer:
(x+x1)(x-x2)
let x1=7 and x2=-4
(x+7)(x-(-4))
(x+7)(x+4)
x^2+4x+7x+28
x^2+11x+28
Find the quotient.
154 divided by 14
Answer:
11
Step-by-step explanation:
[tex]\frac{154}{14} =11\\\\check: 11*14=154[/tex]
154 divided by 14 equals 11.
To find the quotient of 154 divided by 14, we perform long division as follows:
11
14 | 154
First, we consider how many times 14 can be divided into 15, which is 1. We write the quotient, 1, above the line.
Next, we multiply 14 by 1, which equals 14. We subtract 14 from 15, resulting in 1. We bring down the next digit, which is 4.
We now consider how many times 14 can be divided into 14, which is 1. We write the quotient, 1, next to the 1 above the line.
Multiplying 14 by 1 gives us 14. Subtracting 14 from 14 gives us 0.
Since there are no more digits to bring down, we can conclude that the quotient is 11.
Therefore, 154 divided by 14 equals 11.
Long division is a method used to find the quotient and remainder when dividing two numbers. It involves dividing, multiplying, subtracting, and bringing down digits until there are no more digits to bring down. In this case, the quotient is 11, indicating that 154 can be divided by 14 precisely 11 times without any remainder.
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Simplify the polynomial, then evaluate for x = 1 and y = - 2.
2x2 y + 3xy2 – 3xy + 4x2 y + y2 – 5xy2
6x²y – xy2 – 3xy; - 14
6x2 y - 2xy2 – 3xy + y2; – 2
6xy - xy2 – 3xy;
- 10
6xy - 2xy2 – 3xy + y2; - 10
Answer:
Step-by-step explanation:
6(1)(-2) -2(1)(-2)^2 - 3(1)(-2) +(-2)^2
-12 -8 +6 +4
=-10
-10 is the value of the given polynomial.
What is Polynomial?A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminate in mathematics. Majorly used polynomials are binomial and trinomial.
First, we can simplify the polynomial by combining like terms:
[tex]2x^2y + 4x^2y + 3xy^2 - 5xy^2 - 3xy + y^2\\= (2x^2y + 4x^2y) + (3xy^2 - 5xy^2) + (-3xy + y^2)\\= 6x^2y - 2xy^2 - 3xy + y^2[/tex]
Now, to evaluate for x = 1 and y = -2, we substitute those values into the simplified expression:
[tex]6(1)^2(-2) - 2(1)(-2)^2 - 3(1)(-2) + (-2)^2\\= 6(-2) - 2(4) + 6 + 4\\= -12 - 8 + 6 + 4\\= -10[/tex]
Therefore, the value of the polynomial for x = 1 and y = -2 is -10.
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Which is the graph of 4x + 2y < 3? On a coordinate plane, a dashed straight line with negative slope goes through (0, 2) and (1, 0). Everything to the right of the line is shaded. On a coordinate plane, a dashed straight line with negative slope goes through (0, 2) and (1, 0). Everything to the left of the line is shaded. On a coordinate plane, a dashed straight line with positive slope goes through (negative 1, 0) and (0, 2). Everything to the left of the line is shaded. On a coordinate plane, a dashed straight line with positive slope goes through (negative 1, 0) and (0, 2). Everything to the right of the line is shaded.
Answer:
it is a negative slope (going left), dashed and shaded left below the line - the points are not correct.
y<-2x+3/2
-2 = m and the y-intercept is 3/2
Step-by-step explanation:
Answer:
The second graph showing the y-intercept as 2 and the x-intercept as 1 with the left side of the line shaded in red. Ur welcome and have a nice day :3
Step-by-step explanation:
(7 ten thousand 5 hundreds) x 10
Answer:
The answer is 705,000
Step-by-step explanation:
pls mark brainlest
The value of (7 ten thousand 5 hundreds) x 10 is 705,000.
Here,
The written expression is,
(7 ten thousand 5 hundreds) x 10
We have to find the value of given written expression.
What is Mathematical expression?
Mathematical expression is a finite combination of symbols that is well-formed according to the rules.
Now,
The written expression is,
⇒ (7 ten thousand 5 hundreds) x 10 = 70, 500 x 10 = 705,000
Hence,
The value of (7 ten thousand 5 hundreds) x 10 is 705,000.
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