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[tex]5x + 2y = 19[/tex]
Subtract sides 5x
[tex] - 5x + 5x + 2y = - 5x + 19[/tex]
[tex]2y = - 5x + 19[/tex]
Divide sides by 2
[tex] \frac{2y}{2} = \frac{ - 5x + 19}{2} \\ [/tex]
[tex]y = \frac{ - 5x}{2} + \frac{19}{2} \\ [/tex]
[tex]y = - \frac{5}{2} x + \frac{19}{2} \\ [/tex]
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The solution of the equation 5x + 2y = 19 for the value of y is y = (-5 / 2)x + ( 19 / 2).
What is an expression?
Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given expression is 5x + 2y = 19. The value of y will be calculated as:-
5x + 2y = 19
2y = 19 - 5x
y = ( 19 / 2 ) - ( 5x / 2 )
Therefore, the solution of the equation 5x + 2y = 19 for the value of y is y = (-5 / 2)x + ( 19 / 2).
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Solve: x=4+(4x-4)1/2
Answer:
x = 10
Step-by-step explanation:
x = 4 + (4x-4) ^ (1/2)
First, we rewrite the expression:
x = 4 + (4x-4) ^ (1/2)
x = 2 (2+ (x-1) ^ (1/2))
x = 4 + 2 (x-1) ^ (1/2)
From here we get a solution for x = 10
To check it we substitute x = 10 in the expression:
10 = 4 + 2 (10-1) ^ (1/2)
10 = 4 + 2 (9) ^ (1/2)
10 = 4 + 2 (3)
10 = 4 + 6
10 = 10
Answer:
The solution is:
x = 10
Answer:
C. x = 10
Step-by-step explanation:
edgen 2020
The time to failure (in hours) of fans in a personal computer can be modeled by an exponential distribution with l=0.0003
a. What proportion of the fans will last at least 10,000 hours?
b. What proportion of the fans will last at most 7000 hours?
Answer: 0.0497870 ; 0.87754
Step-by-step explanation:
Given that :
λ = 0.0003
Defining a continuous distribution function :
F(x) = 1 - e^-λx = 1 - e^-0.0003x ; x ≥ 0
a. What proportion of the fans will last at least 10,000 hours?
P(x ≥ 10000) = e^-0.0003(10000) = 0.0497870
b. What proportion of the fans will last at most 7000 hours?
P(x ≥ 7000) = 1 - p(x ≤ 7000) = 1 - e^-0.0003(7000)
1 - 0.12245642825 = 0.87754
Which system of linear inequalities is represented by this graphed solution?
Answer:
There is no picture.....
Step-by-step explanation:
what graphed solution?
The amount of money earned by bank customers based on the amount of principal in their savings account is _______________.
Answer:
interest
Step-by-step explanation:
subtract -2/3- (-2/5)
Answer:
- 4/15
Step-by-step explanation:
The - and - make a + so -2/3 + 2/5
HOPE THIS HELPS
PLZ MARK BRAINLIEST
16. [-12 Points]
DETAILS
CURRENMEDMATH11 3.S.001.
Solve the equation. A calculator may be used.
Express your answer to the nearest tenth.
0.8 1.4.
X
0.45 1
Express your answer to the nearest hundredth.
1.4
0.8
Х
0.45
=
1
Answer:
Answer: A. 5:4 Step-by-step explanation: Since the question mentions twelfths of a pie, it is easier to say each pie has 12 pieces or 36 total pieces ordered from the 3 pies. Ty ate 5 and Rob ate 15 which is 3 times more than Ty. A total of 20 pieces have been eaten from the 36 you started with. Eaten = 16. So the ratio is 20:16 which is simplified to = 20 and Remaining 5:4.
3. Repeat this process to find the width and height of a newer 48-inch television whose
screen has an aspect ratio of 16:9.
Do not include units in your answer - write only the Mumber rounded to the nearest tenth
What is the height?
Answer:
23.5"Step-by-step explanation:
Please see attached a sketch of the television
the size of a television is described by the length of its diagonal in inches.
in this case, the diagonal of the television is 48"
we are told that the aspect ratio is 16:9
hence the dimension of the television as seen from the draft is
length= 16x
height=9x
Applying Pythagoras theorem
(16x)^2+(9x)^2= 48^2
256x^2+81x^2=2304
337x^2=2304
divide both sides by 337 we have
x^2=2304/337
x^2=6.8367
x=√6.8367
x=2.6
What is the height
H=9x
=9(2.6)
=23.5"
need a math genius to help
Answer:
Angle 8
Step-by-step explanation:
Angle 8 is the corresponding angle to angle 4. Corresponding angles are angles that are in the same relative position at each intersection. Since the lines are parallel they are also congruent. If you look at the lines both angle 8 and 4 are on the bottom right side of the intersection, therefore they are corresponding angles.
Geometry please help
Please help with this as soon as you can. No idea how to do it so please help me.
Answer:
niether i think
Step-by-step explanation:
Which answer choice shows the decimals in order from greatest to least?
A) 1.234, 1.237, 1.2, 1.48, 2.01
B) 1.2, 1.234, 1.237, 1.48, 2.01
C) 2.01, 1.48, 1.237, 1.234, 1.2
D) 1.2, 1.48, 2.01, 1.234, 1.237
Answer:
C
Step-by-step explanation:
The highest number here is 2.01, so we start by looking for an answer that begins with 2.01. Then we compare 1.48, 1.237,1.234, and 1.2. Look into the tenths place to find that 1.48 has a larger tenths place than any other number. continue this cycle to have the full correct order.
Can someone please answer number 35
Answer:
I can't understand.
this is very dark
Sam wrote his bike 2/5 of a mile and walked another 3/4 of a mile how far did he travel?
Answer:
1.15 miles
Step-by-step explanation:
Answer:
24/20
Step-by-step explanation:
Changed denominator to 20 since 4 and 5 both go into 20. Got 8/20 and 15/20. Added and got 24/20. As a mixed number it is 1 1/5/ Hope this helps!
Helpppp pleaseeeeeeeeeeeee
Answer:
$1.30
Step-by-step explanation:
91/14/5
Find the rate of change
Answer:
The rate of change of function is: 2
Step-by-step explanation:
Using the given table we have to exclude two pairs of input and output.
The rate of change or slope of function is given as:
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
We take first two pairs of input/output from the table
(x1,y1) = (1,11)
(x2,y2) = (2,13)
Putting the values
[tex]m = \frac{13-11}{2-1}\\m =\frac{2}{1}\\m = 2[/tex]
Hence,
The rate of change of function is: 2
What is the equivalent amount in year ten of an expenditure of $5,000 in year one, $6,000 in year two, and amounts increasing by $1,000 per year through year ten?
Answer:
The correct answer is the equivalent amount is $139,059.41
Step-by-step explanation:
According to the scenario, the computation of the equivalent amount in year ten is shown below;
= $5,000 × (P/A, 10%,10) + $1,000 × (P/G, 10%,10)
= $5,000 × 6.1466 + $1,000 × 22.8913
= $30,723 + $22,891.30
= $53,614.30
Now the equivalent amount is
= $53,614.30 × (F/P, 10%,10)
= $53,614.30 × 2.5937
= $139,059.41
Hence, the equivalent amount is $139,059.41
11.
Charlene and Danielle share some money in ratio 2:3
Danielle gets £25 more than Charlene.
How much does each girl receive?
Answer:
Charlene got £50
Danielle got £75
Step-by-step explanation:
Let Charlene get x
this means that Danielle will get x + 25
The ratio is thus;
x/x + 25 = 2/3
3x = 2(x + 25)
3x = 2x + 50
3x-2x = 50
x = £50
Charlene got this
The amount Danielle got will be
50 + 25 = £75
ctions and Models
Algebra I
Which of the following options results in a graph that shows exponential decay? (2 points)
Of(x) = 0.6(2)*
O f(x) = 3(0.7)
O f(x) = 0.4(1.6)*
O f(x) = 20(3)*
3. (04.03 LC)
Answer:
i need help
Step-by-step explanation:
I dont understand
help me please click link to go to question
brainly.com/question/19566932?answeringSource=feedPublic%2FhomePage%2F2
Answer:
okay thank you. ummmm yes well it's not loading
Charlotte had to distribute 71 dollars among 6 people. What is left with Charlotte after distribution if all six got maximum equal dollars?
Answer:
5?
Step-by-step explanation:
Write equations (both, Point Slope & Slope Intercept Forms) of the line with
slope of -2 and point (9,2).
Answer:
Equation of line in Point Slope Form is [tex]\mathbf{y-2=-2(x-9)}[/tex]
Equation of line in Slope Intercept Form is: [tex]\mathbf{y=-2x+20}[/tex]
Step-by-step explanation:
We need to write equation of line having slope -2 and point (9,2)
a) Equation in Point Slope Form
The general equation of point slope form is: [tex]y-y_1=m(x-x_1)[/tex]
Where x₁ and y₁ are the points of line and m is slope.
x₁=9 and y₁=2 and m=-2
Putting values in formula and finding equation:
[tex]y-y_1=m(x-x_1)\\y-2=-2(x-9)[/tex]
So, Equation of line in Point Slope Form is [tex]\mathbf{y-2=-2(x-9)}[/tex]
b) Equation in Slope Intercept Form
The general equation of Slope Intercept Form is: [tex]y=mx+b[/tex]
where m is slope and b is y-intercept
Finding y-intercept using slope m=-2 and point(9,2)
[tex]y=mx+b\\2=-2(9)+b\\2=-18+b\\b=2+18\\b=20[/tex]
The equation in slope m=-2 and b=20 is:
[tex]y=mx+b\\y=-2x+20[/tex]
So, equation of line in Slope Intercept Form is: [tex]\mathbf{y=-2x+20}[/tex]
Iris wants to buy two necklaces, one for her sister and one for herself. The necklace for her sister costs $42.00, and the necklace for herself costs $28.00. The sales tax on the purchases is 8%. Find the total cost of Iris’s purchases, including sales tax. If necessary, round your answer to the nearest cent.
Answer:
$75.60
Step-by-step explanation:
First, find the total cost without tax:
42 + 28
= 70
Then, to find the price with sales tax, multiply this by 1.08:
70(1.08)
= 75.6
So, the total cost of her purchases was $75.60
You have one type of nut that sells for $6.50/lb and another type of nut that sells for $8.60/1b. You
would like to have 14.7 lbs of a nut mixture that sells for $7.10/lb. How much of each nut will you
need to obtain the desired mixture?
You will need
____lbs of the cheaper nut
and
____lbs of the expensive nut.
Answer:
You buy 10.5 pounds of the $6.50/lb nuts and 4.2 pounds of the $8.60/lb nuts.
Step-by-step explanation:
Let x be the number of pounds of the cheaper nut.
6.5x + 8.6(14.7-x) = 7.1*14.7
6.5x + 126.42 - 8.6x = 104.37
2.1x = 22.05
x = 10.5
Write 32 +24 as a product of two factors using the gcf and the distributive property
Answer:
4 * 14
Step-by-step explanation:
Given
32 + 24
Required
Write as a product of two factors
First, we need to get the GCF of 32 and 24
The factors of 32 and 24 are:
[tex]32 = 1, 2, 4, 8, 16, 32.[/tex]
[tex]24 = 1, 2, 3, 4, 6, 8, 12, 24[/tex]
The GCF (greatest common factor) is 8
So, the expression 32 + 24 can be rewritten as:
[tex]32 + 24= 4(8 + 6)[/tex]
Add 8 + 6
[tex]32 + 24= 4(14)[/tex]
[tex]32 + 24= 4 * 14[/tex]
Hence,
32 + 24 can be rewritten as 4 * 14
Answer:
it is 8 (4+3) !!!! I just did the question! :)
Step-by-step explanation:
What is the value of the expression, if p=42?
Then whats p+22
Answer:
64
Step-by-step explanation:
Answer:
64
Step-by-step explanation:
p=42 and p+22=?
Substitute:
(42)+22=?
Add:
(42)+22=64
A nursery has $55,000 of inventory in dogwood trees and red maple trees. The profit on a dogwood tree is 29% and the profit on a red maple tree is 18%. The profit for the entire stock is 20%. How much was invested in each type of tree?
Answer:
On dogwood $45,000 was invested
On red maple tree , $10,000 would be invested
Step-by-step explanation:
Let the amount invested on dogwood tree be d and the amount invested on red maple be r
Total is 55,000
Thus;
d + r = 55,000 ••••••(i)
Total profit is;
20/100 * 55,000 = 11,000
Profit on dogwood is;
29/100 * d = 0.29d
Profit on red maple is;
18/100 * r = 0.18r
Both equals 11,000
0.29d + 0.18r = 11,000 •••••••(ii)
From equation i, d = 55,000 - r
substitute into ii
0.29(55,000-r) + 0.18r = 11,000
15950- 0.29r + 0.18r = 11,000
4950 = 0.11r
r = 4950/0.11
r = 45,000
d = 55,000 - r
d = 55,000 - 45,000
d = 10,000
You start at (5, -4). You move down 1 unit. Where do you end?
Answer:
(5,-5)
Step-by-step explanation:
You're only moving down one number on the y-axis, so you go from -4 to -5, and your x-value remains the same
I need some assistance please
Answer:
2x + y = 20 . y=3x
2x + 3x = 20
5x = 20
x/5 = 20/5
x = 4
(4,0)
Suppose that prior to conducting a coin-flipping experiment, we suspect that the coin is fair. How many times would we have to flip the coin in order to obtain a 95% confidence interval of width of at most .18 for the probability of flipping a head
Answer:
AYOOOOO MONEY CHECK
Step-by-step explanation:
2.
Jamie used a microscope to measure the diameter of a hair. She found that the
diameter of the hair was 0.000072 meter. How is this number written in scientific
notation?
A. 7.2x10.5
B. 7.2 x 106
C.7.2 x 105
D.7.2 x 10
Type Your
Answer:
7.2 *10⁻⁵
Step-by-step explanation:
Given the diameter of the hair expressed as 0.000072, we are to express it in scientific notation.
The standard form of scientific notation is expressed as;
A * 10ⁿ
A is a value from 1 to 9
n is any integer.
Rewriting 0.000072 in this form, we will need to shift the decimal point to the front 5 times to have;
0.000072 = 7.2 *10⁻⁵ where;
A = 7.2 and n = -5
Note that the power is a negative value since the value is less than 1.