Answer: x= 5-y/2
y= 5-2x
Step-by-step explanation:
2x + y= 5
4x + 2y=10
Addition of the two equations gives:
6x + 3y = 15
6x= 15- 3y
x= 15-3y/6 or simplified to x = 5-y/2
3y= 15- 6x
y= 15-6×/3 or simplified to y= 5-2x
Find 30% of 70
a. 21
b. 36
c. 40
Find the mean and the MAD of the following data set. Do not round your answers.
PLEASE HELP 85 POINTS ASAP.
10, 15, 20, 25, 30, 35
Mean=
MAD=
Answer:
Mean = 22.5
MAD = 7.5
Step-by-step explanation:
Mean = 135/6
= 22.5
|x-22.5|
= 12.5, 7.5, 2.5, 2.5, 7.5, 12.5
MAD = 45/6 = 7.5
Solve this system by elimination: 3x + 2y = 18 5x – 2y = 14
Answer:
(4,3)
Step-by-step explanation:
3x + 2y = 18
5x – 2y = 14
Add the two equations together to eliminate y
3x + 2y = 18
5x – 2y = 14
------------------------
8x = 32
Divide each side by 8
8x/8 = 32/8
x = 4
Now determine the value for y
3(4) +2y = 18
12 +2y =18
Subtract 12 from each side
12-12+2y = 18-12
2y = 6
Divide by 2
2y/2 =6/2
y=3
Answer:
x=4 and y=3
Step-by-step explanation:
x+2y=18
5x−2y=14
Add these equations to eliminate y:
8x=32
Then solve8x=32for x:
8x=32
8x
8
=
32
8
(Divide both sides by 8)
x=4
Now that we've found x let's plug it back in to solve for y.
Write down an original equation:
3x+2y=18
Substitute4forxin3x+2y=18:
(3)(4)+2y=18
2y+12=18(Simplify both sides of the equation)
2y+12+−12=18+−12(Add -12 to both sides)
2y=6
2y
2
=
6
2
(Divide both sides by 2)
y=3
Answer:
x=4 and y=3
What is the measure of angle X?
Answer:
47 degrees
Step-by-step explanation:
The interior angles of a triangle always equal 180 degrees, so add the other angles together and subtract that from 180
31+102= 133
180-133=47
Answer:
47
Step-by-step explanation:
at age 27, jill deposited $4,000 into an ira, where it earns 9.8% interest compounded monthly. what will it be worth when she is thirty-five?
The amount when she is 35 is $8,733.01221.
Given that,
The deposited amount is $4,000.The rate of interest is 9.8%.The time is 8 years.Based on the above information, the calculation is as follows:
[tex]= \$4,000 \times (1 + 9.8\%\div 12)^{8\times 12}\\\\= \$4,000 \times (12.098\div 12)^{96}[/tex]
= $8,733.01221
Therefore we can conclude that The amount when she is 35 is $8,733.01221.
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Final answer:
At age 35, Jill's IRA investment, which started with a $4,000 deposit at age 27 and earns 9.8% interest compounded monthly, will be worth approximately $8,159.55.
Explanation:
To determine the future value of Jill's IRA investment, we will use the formula for compound interest, which is A = [tex]P(1 + \(\frac{r}{n}\))^n^t[/tex], where:
P is the principal amount (the initial amount of money)
r is the annual interest rate (decimal)
n is the number of times that interest is compounded per year
t is the time the money is invested for in years
A is the amount of money accumulated after n years, including interest.
In Jill's case, she deposited $4,000 into an IRA at age 27, and we want to find out what it will be worth when she is 35. The annual interest rate is 9.8%, but since it is compounded monthly, we will have to convert this to a monthly rate and adjust the time accordingly
The steps to solve for the amount A are as follows:
Convert the annual interest rate to a decimal: 9.8% = 0.098
Find the monthly interest rate by dividing the annual rate by 12: \[tex](\frac{0.098}{12}\)[/tex]
Calculate the number of years money is invested: 35 - 27 = 8 years
Find the number of times interest is compounded: 12 months/year × 8 years
Use the compound interest formula to calculate A.
Now, let's do the math:
P = $4,000
r = 0.098 / 12
n = 12
t = 8
A = 4000(1 + [tex]\(\frac{0.098}{12}\))^(12\(\times\)8)[/tex]
Using a calculator we get:
A = $4000(1 + 0.0081667)⁹⁶
A = $4000(1.0081667)⁹⁶
A = $4000 [tex]\(\times\)[/tex] 2.0398873
A ≈ $8,159.55
Therefore, at age 35, Jill's IRA investment will be worth approximately $8,159.55.
marco wants to buy 2 books that cost 20$ each. He can save $5 a week. Draw diagrams and write equations to find how many weeks it will take hime to save enough money to buy the books.
Answer:
8 weeks
Step-by-step explanation:
because you multiply the two books to get the total price then divide by 5 to get how many weeks he has to save 5 dollars
Help plz and god bless you and grades
Find the equation of the axis of symmetry for this function
F(x)= 5x^2 - 3x + 5
Answer:
x = [tex]\frac{3}{10}[/tex]
Step-by-step explanation:
Given a quadratic in standard form, ax² + bx + c : a ≠ 0
Then the axis of symmetry is a vertical line with equation x = h
where h is the x- coordinate of the vertex.
The x- coordinate of the vertex is
[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]
f(x) = 5x² - 3x + 5 ← is in standard form
with a = 5 and b = - 3, thus
[tex]x_{vertex}[/tex] = - [tex]\frac{-3}{10}[/tex] = [tex]\frac{3}{10}[/tex]
Thus the equation of the axis of symmetry is x = [tex]\frac{3}{10}[/tex]
Stefan spent a third of his weekly allowance on clothes. To earn more money his parents let him wash the car for $5. Write and solve a two-step equation to determine his weekly allowance if he ended with $29. *Hint: start with: b/.... +....... =.......
Answer:
$36
Step-by-step explanation:
The amount spent on cloths is 1/3
The amount earned from washing the car is $5
Amount at the end of the week is $29
Let the amount earned that week be x
Then amount spent on cloths = 1/3x
so the equation is
x- 1/3 x+$5=$29
2/3 x=29-5
2/3 x= 24
x=(24*3)/2= $36
Translate the sentence into an inequality.
The sum of a number times 9 and 30 is at least - 15
Use the variable c for the unknown number.
[tex]9x +30\geq 30[/tex]
Solution:
Given that,
Translate the sentence into an inequality
The sum of a number times 9 and 30 is at least - 15
Let "c" be the unknown variable
"at least" means "greater than or equal to"
From given,
sum of a number times 9 and 30 = 9x + 30
Which means,
[tex]9x +30\geq 30[/tex]
Thus the given sentence is translated into inequality
The sentence 'The sum of a number times 9 and 30 is at least - 15' can be translated into the inequality
[tex]9c + 30 \geq -15[/tex]Explanation:The sentence 'The sum of a number times 9 and 30 is at least - 15' can be translated into an inequality by first recognizing the mathematical operations being described. The phrase 'a number times 9' is multiplication, so let's represent this number with the variable c. Thus, this part is 9c. The word 'sum' represents addition. Finally, 'is at least' indicates that the sum is greater than or equal to a particular value (-15 in this case).
Putting these elements together, we get the inequality
[tex]9c+30\geq -15[/tex]This is the inequality that represents the sentence.
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What is this limit? Without using lopital rule
Answer:
60.
Step-by-step explanation:
(x^2 - 25) / (√(x + 4) - 3).
We rationalise the expression by multiplying top and bottom of the fraction by the complement of the denominator.
That is by (√(x + 4) + 3):
(x^2 - 25)(√(x + 4) + 3)
= ------------------------------------
(√(x + 4) - 3)(√(x + 4) + 3)
= (x + 5)(x - 5)(√(x + 4) + 3)
----------------------------------
(x - 5)
= (x + 5)(√(x + 4) + 3).
The limit as this---> 5
is (5 + 5)(√(5 + 4) + 3)
= 10 * 6
= 60.
Write and evaluate the expression. Then, check all that apply.
The difference of a number and ninety;
When a = 102
Answer:
C,D,E,H 2020 edge
Step-by-step explanation:
I did the assignment
Answer:C D E H
Step-by-step explanation:
2) 3x + 4y = 8
2x+y=42
a) (30, -19)
b) (31, -20)
c) (32,-22)
What is the answer
Answer:
C
Step-by-step explanation:
We can solve simultaneous equations using substitution method, elimination method or graphical method. But for this purpose, we will be using the elimination method.
3x+4y=8 Equation 1
2x+y=42 Equation 2
Multiply Equation 1 by 2 and equation 2 by 3, so as to get the same coefficient for x
2(3x+4y=8)= 6x+8y=16 Equation 3
3(2x+y=42)= 6x+3y=126 Equation 4
Subtract equation 4 from 3, to eliminate x
6x-6x=0
8y-3y= 5y
16-126= -110
We now have 5y=-110
Divide both sides by 5,
y= -110/5
= -22
Substituting for y in equation 2
2x+(-22)= 42
2x= 42+22
2x=64
x= 64/2
= 32
(x, y)
(32, -22)
A die is rolled. Find the probability of getting a 2. (answer in fraction form)
Answer:
The theoretical probability of getting a 2 when a fair die is rolled is 1/6 so its a low chance
Step-by-step explanation:
By coincidence, Leon's Obedience School trained the same number of dogs and cats last
week. The school teaches dogs in groups of 2 and cats in groups of 7. What is the smallest
number of cats the school could have had?
Answer:
14
Step-by-step explanation:
In this case LCM is needed and the LCM of 2and 7 is 14. I hope this helps.
Bonito is selling T-shirts for $8 each for his school fundraiser. So far, he has sold 16 T-
shirts. How many more does he need to sell to reach his goal of $200 in sales?
Three of these equations solve for the number of T-shirts, l, he still needs to sell to
reach $200 in sales. Which equation does NOT?
Answer:
The equations that does fit would be 8x+128=200, 8x=72. I don't know your answer choices but these are the equations that does fit so read what I wrote :)
Step-by-step explanation:
The equation would be 8x = 200 but knowing that he has already sold 16T shirts it should be 8x + 16*8 = 200 -> 8x+128 = 200 or 8x = 72. so x would be 9.
Marsha walked 14 miles to school yesterday morning. After school, she w
of a mile to her aunt's house. How many miles did she walk altogether yester
day?
Answer:
Step-by-step explanation:
55
Which graphic organizer correctly shows the relationship between the shapes?
Answer:
the correct one is the quadrilateral with the parallelogram in it the one in the bottom corner under w
Step-by-step explanation:
hope this helps have a great day
welppp fastttt!!!!!!!!!!!!!!!!!!
Answer: B
Step-by-step explanation:
Grade must be greater than or equal to 88
Answer:
The answer for this is B
can somebody tell me the answer to -5/8 - 3/4
Step-by-step explanation:
= -5/8-3/4
= -5-6/8
= -11/8
Answer:-11/8
Step-by-step explanation:
Look at the diagram. If RS = 15 and RT = 18, then ST = _.
33
Answer:
RS = 15 and RT = 18, then ST = 3! :D
Step-by-step explanation:r = 1 --> s=15 & t=18 so st = 270
r = 3 --> s = 5 & t = 6 so st = 30
r = 5 --> s = 3 & t = 3.6 so st = 10.8
etc
==============
In literal terms:
s = 15/r
t = 18/r
Step-by-step explanation:
7x - 7 = 126 what is x
Answer:
19
Step-by-step explanation:
7x-7=126
add+7 to 126 and you will get 133
7x/133
x=19
Answer:
x = 19
Step-by-step explanation:
7x - 7 = 126
Add 7 to each side
7x - 7+7 = 126+7
7x = 133
Divide each side by 7 to isolate x
7x/7 = 133/7
x = 19
HELP PLEASEEE I really need it I’m stuck and don’t know the answer
Answer:
.3-.6 ; 0-.6 ; .1-.3 ; 0-.3 ; 0-.1
Step-by-step explanation:
The "points" are:
(0,96.44), (.1,97.6), (.3, 98.57), and (.6, 98.3)
The "rate of change" is the slope. This means that the change from...
0-.1 is (97.6-96.44)/.1 = 1.16/.1= 11.6
0-.3 is (98.57-96.44)/.3 = 2.13/.3 = 7.1
0-.6 is (98.3-96.44)/.6 = 1.86/.6 = 3.1
.1-.3 is (98.57-97.6)/.2 = .97/.2 = 4.85
.3-.6 is (98.3-98.57)/.3 = -.27/.3 = -.9
What is the slope of the line.
Answer:
The slope is 2
Step-by-step explanation:
The slope of the line is change in y over change in x.
The formula is: [tex]\frac{y2-y1}{x2-x1}[/tex]
Step 1: Identify the two points
(x1, y1) -> (0, 0)
(x2, y2) -> (1, 2)
Step 2: Plug into the equation
The formula is: [tex]\frac{y2-y1}{x2-x1}[/tex]
Slope = [tex]\frac{2 - 0}{1-0}[/tex]
Slope = 2/1
Slope = 2
Answer: The slope is 2
five more than the product of 14 and a number in algebraic expression
Answer:
14n+5
Step-by-step explanation:
Five more is +5
Product of 14 and a number would be 14n
So combined would be 14n+5
A rectangular poster has an area of 38 square feet. It is 9 1/2 feet wide at its base. What is the height of the poster?
By using the formula (Area = Length x Width) we can rearrange the equation to find the height of the rectangular poster. It comes out to be 4 feet.
Explanation:To answer your question, we must use the formula for the area of a rectangle, which is Area = Length x Width. Here, the area of the poster is given as 38 square feet and the width is 9.5 feet. The length is what we're trying to find. We can set this up as an equation 38 = Length x 9.5. To find the Length, we divide both sides of the equation by 9.5 resulting in Length = 38 ÷ 9.5. Solving the equation gives us a length of approximately 4 feet. So, the 'height' of the poster would be 4 feet.
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what is a reflex angle
Answer:
an angle that is larger than 180 degrees but is smaller than 360 degrees
Answer:
A reflex angle is any angle larger than 180 degrees and smaller than 360 degrees.
Step-by-step explanation:
Angle one is the Angle of incidence, Angle two is the Angle of reflection, and Angle one is equal to Angle two.
Help please with answer
Answer:
None of the above
Step-by-step explanation:
The common ratio 10 means we are starting with 4.5 and multiplying that by 10 each time:
4.5*10=45
45*10=450
450*10=4500
As you can see, this does not match any of the answers
Solve by finding square roots.
5x² - 400
-13.5
-$2.52
-2/2, 2/2
-2/3,283
Answer:
See explanation
Step-by-step explanation:
Let the given equation be:
[tex]5 {x}^{2} - 400 = 0[/tex]
This implies that:
[tex]5 {x}^{2} = 400[/tex]
Divide through by 5 to get;
[tex] {x}^{2} = 80[/tex]
Take square root to obtain:
[tex]x = \pm \sqrt{80} [/tex]
This implies that
[tex]x = \pm4 \sqrt{5} [/tex]
[tex]x = - 4 \sqrt{5} \: or \: x = 4 \sqrt{5} [/tex]
can u help me plz and thank u
Answer:
hey
Step-by-step explanation:
angle 7x-9 +angle 4x=90°
11x=90+9
11x=99
x= 9°
Answer:
∠CBD = 54°
Step-by-step explanation:
∠ABC = 90°
∠ABD + ∠CBD = ∠ABC
4X + 7X -9 = 90
11X = 90+9
11X = 99
X = 99/11
X=9°
∠CBD = (7X -9)° = 7 * 9 - 9 = 63-9 = 54°