Answer:
net pay if im not mistaking
Step-by-step explanation:
Solve the following system of equations.
y = 2x + 1
y = x2 – 5x + 7
The solution of the system of equation is (6, 13) and (1, 3).
How to solve system of equation?The system of equation can be solved using substitution method. Therefore, let's solve the system of equation by substitution method.
y = 2x + 1
y = x² - 5x + 7
substitute the value of y in equation(ii)
2x + 1 = x² - 5x + 7
x² - 5x + 7 - 2x - 1 = 0
x² - 7x + 6 = 0
x² - x - 6x + 6 = 0
x(x - 1) - 6(x - 1) = 0
(x - 6)(x - 1) = 0
x = 6 and x = 1
Hence,
when x = 6
y = 2(6) + 1
y = 12 + 1 = 13
when x = 1
y = 2(1) + 1
y = 3
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Molly tried to evaluate 93\times5193×5193, times, 51 using partial products. Her work is shown below.
\begin{array}{llrr} &&93 \\ &&\underline{{}\times51} \\ &\blueD{\text{Step 1}}&\blueD{3}& \blueD{1\times3\text{ ones}}\\ &\greenD{\text{Step 2}}&\greenD{90}& \greenD{1\times 9\text{ tens}}\\ &\maroonD{\text{Step 3}}&\maroonD{150}& \maroonD{50\times 3\text{ ones}}\\ &\goldE{\text{Step 4}}&\underline{{}+\goldE{ 4{,}500}}& \goldE{50\times 9\text{ tens}}\\ &\purpleD{\text{Step 5}}&\purpleD{4{,}743}& \end{array}
Step 1
Step 2
Step 3
Step 4
Step 5
93
×51
3
90
150
+4,500
4,743
1×3 ones
1×9 tens
50×3 ones
50×9 tens
Since molly's solution tally's with the given solution, hence Molly's solution is correct.
Given the working on a partial product of 93 and 51 carried out by Molly as shown:
[tex]\begin{array}{llrr} &&93 \\ &&\underline{{}\times51} \\ &\blueD{\text{Step 1}}&\blueD{3}& \blueD{1\times3\text{ ones}}\\ &\greenD{\text{Step 2}}&\greenD{90}& \greenD{1\times 9\text{ tens}}\\ &\maroonD{\text{Step 3}}&\maroonD{150}& \maroonD{50\times 3\text{ ones}}\\ &\goldE{\text{Step 4}}&\underline{{}+\goldE{ 4{,}500}}& \goldE{50\times 9\text{ tens}}\\ &\purpleD{\text{Step 5}}&\purpleD{4{,}743}& \end{array}[/tex]
This partial product can also be solved as shown below:
[tex]93 \times 51 = (90+3)\times (50+1)[/tex]
Applying the distributive law:
[tex]93 \times 51 = 90(50) + 90(1) + 3(50) + 3(1)\\93 \times 51 =4500 + 90 + 150 + 3\\93 \times 51 =4500+240+3\\93 \times 51 =4740+3\\93 \times 51 =4743[/tex]
Since molly's solution tally's with the given solution, hence Molly solution is correct.
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HELP PLZ PLZ ITS DUE IN 30 MINUTES
Answer:
wouldn't that be...24x²?
Write an equation in point-slope form for the line that passes through the given points (1,-3),(4,-15)
Answer: b=7
Step-by-step explanation:
Circle A was dilated with the origin as the center of dilation to creat circle b
Answer: The answer is B.)
Have a great Day/Night!
I have invested for a loan of Php 5,000, and I need to repay in one lump sum at the end of one year. What annual interest rate corresponds to a lump-sum payment of Php 5,425?
Based on the information given, it can be deduced that the annual interest rate will be 8.5%.
Principal = 5000
Interest = 5425 - 5000 = 425
Time = 1 year
Rate = Unknown.
Simple Interest = PRT / 100
425 = (5000 × R × 1)/100
42500 = 5000R.
R = 42500/5000
R = 8.5%
In conclusion, the correct option is 8.5%.
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Factorise it
(x + 2y)² – (x – 2y)²
[tex]\text{Given that,}\\\\(x+2y)^2 - (x-2y)^2\\\\=(x+2y +x -2y)(x+2y -x+2y)~~~~;[a^2 - b^2 = (a+b)(a-b)]\\\\=(2x)(4y)\\\\=8xy[/tex]
Jack’s school bag contains 8 books each of weight 3/8 pounds, and 6 folders of weight 1/2 pound. b) What fraction of the total weight is folders?
Answer:
6 pounds
Step-by-step explanation:
3/8×8/1=24/8=3
6/1×1/2=6/2=3
3+3=6
Name each polynomial by degree and number of terms .
1) -10x
2) -10r4- 8r2
3) 7
4)9a6 + 3a5 - 4a4 - 3a2 + 9
5)-3n3 + n2 - 10n + 9
6) 7x2 - 9x - 10
7) -4b
8) -9 + 7n3 - n2
Answer:
Polynomials are classified according to their number of terms. 4x3 +3y + 3x2 has three terms, -12zy has 1 term, and 15 - x2 has two terms. As already mentioned, a polynomial with 1 term is a monomial. A polynomial with two terms is a binomial, and a polynomial with three terms is a trinomial.
12×12 get this right i will give you brainliest
Answer:
144
Step-by-step explanation:
12 x 2 =24 12 x 10 =120 120 + 24 =144
Hi, let's solve our equation.
[tex]{\huge{\boxed{\mathbb{EQUATION}}}[/tex]
[tex]12\cdot12[/tex]
_______________
we can use multiple methods to solve this problem.
Distributive property Regular multiplication Fraction division________________
[tex]{\huge{\boxed{\mathbb{DISTRIBUTIVE\:PROPERTY}}}[/tex]
Here is how it would look to do distributive property
[tex](10\cdot12)+(2\cdot12)[/tex]
Follow PEMDAS rule
Parenthesis Exponents Multiplication or Division Addition or SubtractionSolve it and we get the answer of 144.
________________
[tex]{\huge{\boxed{\mathbb{REGULAR\:MULTIPLICATION}}}[/tex]
just multiply [tex]12\cdot12[/tex] which equals 144
________________
[tex]{\huge{\boxed{\mathbb{FRACTION\:DIVISION}}}[/tex]
here is how it would look like.
[tex]\frac{12}{1}\div\frac{1}{12}[/tex]
Follow the rule, also known as keep change flip, which makes it look like
[tex]\frac{12}{1}\cdot\frac{12}{1}[/tex] which equals 144
________________
[tex]{\huge{\boxed{\mathbb{ANSWER}}}[/tex]
144
If Y varies directly as x and y= 49 when x= 40, find y if x =34
Answer:
y = 41.65
Step-by-step explanation:
Given y varies directly as x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 49 when x = 40
49 = 40k ( divide both sides by 40 )
[tex]\frac{49}{40}[/tex] = k = 1.225
y = 1.225x ← equation of variation
When x = 34 , then
y = 1.225 × 34 = 41.65
Solveee
8 ( x - 1 ) + 17 ( x - 3 ) = 4 ( 4x - 9 ) + 4
118 - 65x - 123 = 5x + 35 - 20x
Answer:
1)[tex]x = 3[/tex]
2) [tex]x = - \frac{4}{5} [/tex]Step-by-step explanation:
To know the solution with Proof .Refer To the above attachments .Hope this helps you !!Answer:
Step-by-step explanation:
distribute the 8,17,and 4 throughout the parentheses to get
8x-8+17x-51=16x-36+4
combine like terms
25x-59=16x-32
subtract 16x from both sides and add 59 to both sides to get
9x=27
divide both by 9
x=3
PLEASE HELP! Look at the image and please help me
Answer:
Step-by-step explanation:
its b
what is 5y² if y= -1
Answer:
5
Step-by-step explanation:
Input all of the numbers and solve:
5×-1×-1
Start by solving -1*-1=1
5*1=5
Answer:
the answer for this question is 5
simplify.
|−6 + (−3)| (−3) + 8 ÷ 2
If the expression inside the absolute value bars which is -6 .Simplifying the expression |−6 + (−3)| (−3) + 8 ÷ 2 is: 9.
What is the expression?Let simplify the given expression step by step:
|-6 + (-3)| = |-9| = 9
First calculate the expression inside the absolute value bars which is -6 + (-3) = -9. Then take the absolute value of -9, which is 9.
(-3) + 8 ÷ 2 = (-3) + 4 = 1
We follow the order of operations (PEMDAS/BODMAS).
First perform the division:
8 ÷ 2 = 4
Add -3 to 4 which gives us 1.
Simplified expression :
9 * 1 = 9
Therefore the expression is 9.
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I was absentee and i dont know how to solve it help plz
Answer:
-1/3 or 1/-3 (it doesn't matter which one you pick because its still the same)
Step-by-step explanation:
You find slope by doing rise over run. Its left to right so you start on the left dot and go down one. This makes it -1 because you're going down, not up. You move 3 to the right which makes it positive. Once you do this itll lead you right the the 2nd point. 1 down= -1
3 right= 3
-1/3
.03 + six tenths equals
HELP
Lyndie is making reduced copies of a photo that measures 25 centimeters in height. She sets the copy machine to an 80% size
reduction.
PART A
Write a percent equation that represents
the relationship of the height of the first
copy to the height of the original photo.
PART B
Lyndie wants to make another copy that
will have a height of 17 cm. The copy
machine settings increase or decrease in
increments of 5%. Which photo should she
make her copy from, the original or her
first copy? Explain.
Answer: 5+ba*7= 88
Step-by-step explanation:
AB:BD = 3:4
AC:CD = 3:2
Work out AB:BC:CD
Answer:
15:6:14
Step-by-step explanation:
AB:BD is split into a total of 3+4=7 parts.
AC:CD is split into a total of 3+2=5 parts.
So, if the two ratios are put on a number line together with the points A, B, C, and D, the number line would be split into a total of 35 parts (the LCM of 7 and 5).
AB would be (3/7)*35=15.
CD would be (2/5)*35=14
BC would be 35-(15+14)=6
So, the ratio is 15:6:14.
You wish to buy a new skateboard. To earn money, you sell your baseball cards to
your friends for $2.50 each. If the new skateboard costs $98, what is the minimum number
of baseball cards you will have to sell?
For the line segment with endpoints M(m, 4) and N(-2, n) , the midpoint is (3, 1) . Find m and n.
Answer:
Step-by-step explanation:
(m + (-2)) / 2 = 3
(m + (-2)) = 6
m = 8
(4 + n) / 2 = 1
4 + n = 2
n = - 2
NEED HELP RELATIONSHIP IN TRIANGLES
Answer:
Step-by-step explanation:
10x-13=17x-41
DO YOUR WORK
1/3(x+6)=2/3(x-9)
multi step equation
[tex]\dfrac13(x+6) = \dfrac 23 (x-9) \\\\\\\implies x+6 = 2(x-9)~~~~;[ \text{Multiplying both sides by 3}]\\\\\implies x +6 = 2x -18\\\\\implies 2x -x = 6+ 18 \\\\\implies x = 24[/tex]
Evaluate 3x + 34 if x = 5.
Answer:
49
Step-by-step explanation:
3x + 34
x = 5
3 * 5 + 34
15 + 34
49
Which fraction is the same as 3.375?
Answer: 27/8 or 3 3/8
Step-by-step explanation:
Write 3.375 as 3.375/1
then you take the numerator 3.375 and multiply it by 1000. Multiplying is to make 3.375 a whole number. Whatever you do to the numerator, you have to do to the denominator. So, we take 1x1000 aswell. Then our fraction would be 3375/1000.
Then, we would find the greatest common factor. The greatest common factor, or GCF, is the greatest factor that divides two numbers. To find the GCF of two numbers: List the prime factors of each number. The GCF is 125. Then you divid 125 by the fraction, (which means that you divid the number by both the numerator and denominator) and you get the answer, which is 27/8.
If the question is asking you to turn the fraction into a mixed number, you would have to find out how many times 8 going into 27. It goes in 3 times. That is ur whole number. Then do 8x3 to get 24. take 27 and subtract 24 to get 3. that 3 is your numerator. The denominator stays the same. ur final answer as a mixed number is 3 3/8.
Put these fractions in order from greatest to least:
Answer:
[tex]\dfrac 34 , \dfrac 23 , \dfrac 35[/tex]
Step-by-step explanation:
[tex]\dfrac 34 >\dfrac 23 >\dfrac 35[/tex]
Which of the following sets is equal to {1, 2, 3, ...)?
{x| xER, x>1}
{x|xER, x> or equal to 1}
{x|xEN, x> or equal to 1}
Answer:
[tex]\{x~ | ~x\in \mathbb{N}, x \geq 1\}[/tex]
Step-by-step explanation:
A nature preserve worker calculates there are 6,000 deer in Sharon Woods Park. She also estimates that 75 more deer die than are born each year.
a. Write a linear function to estimate how many deer will be in the park in x years.
b. Use the linear function to predict how many deer will be in the park in 3 years.
c. In how many years will there be 5,325 deer left in Sharon Woods Park?
The linear equation used to represent this situation is y = -75x + 6000
A linear equation is in the form:
y = mx + b;
where y, x are variable, m is the slope of the line and b is the y intercept.
Let y represent the amount of deer present in x years. There are 6000 deer presently, hence a = 6000. Also 75 more deer die than are born each year. Hence m = -75.
The linear equation is given by:
y = -75x + 6000
In 3 years:
y = -75(3) + 6000
y = 5775
For there to be 5325 deer:
5325 = -75x + 6000
x = 9 years
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12 tenths+ 9 tenths = tenths = ones = tenths
what is an equation of the line that passes through the points (2,-5) and (-3,-5)?
Answer:
y = -5
Step-by-step explanation:
yeah-ya....... right?
Answer:
Step-by-step explanation:
as both y values are -5, slope is zero and y intercept is -5
y = 0x - 5
y = -5