Examine the steps used to solve the equation.
Negative 3 y + two-thirds = 2 y minus 4. 1. Two-thirds = 5 y minus 4. 2. StartFraction 14 Over 3 EndFraction = 5 y. 3. (one-fifth) StartFraction 14 Over 3 EndFraction = (one-fifth) 5 y.
Evaluate the steps used to solve the equation, and then describe each step.
Step 1:
Step 2:
Step 3:
What is the solution to the equation?
y =
Answer:
can confirm guy or girl above me
Step-by-step explanation:
The solution to the equation is y=14/15.
The given equation is -3y+2/3=2y-4.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Now, transpose -3y to RHS and simplify.
That is, 2/3=5y-4
Transpose -4 to LHS and simplify.
That is, 14/3=5y
Multiply by 1/5 on both sides of the equation.
So, 14/3×1/5=5y×1/5
⇒y=14/15
Therefore, the solution to the equation is y=14/15.
To learn more about the equation visit:
https://brainly.com/question/10413253.
SPJ5
What is the solution to the equation?
Answer:
32.13
Step-by-step explanation:
g = 15.3 x 2.1 = 32.13
Answer:
g= 15.3 *2.1= 32.13
Hence answer is 32.13
Find the missing angle measure(s).
Yº
Z
X
43°
W
Answer:
90°grados es la respuesta
I'm needing help with 4,5,6
Answer:
4. acute
5. obtuse
6. obtuse
Step-by-step explanation:
Which of the following are exterior angles? Check all that apply
Answer: D, C, A
Step-by-step explanation:
An exterior angle is an angle that is supplementary to an interior angle.
The angle between the extended side and its adjacent side is called the exterior angle so the option (D), (C), and (A) will be the correct answers.
What is the Exterior angle?Exterior angles become by a side of that figure and its extended adjacent side.
The exterior angle has been attached.
Since in the graph angle, ∠3 become by two extended lines but for exterior angle, there should be only one extended line which is ∠6, ∠5, and ∠2.
Hence angles ∠6, ∠5, and ∠2 will be the exterior angles.
For more information about Exterior angle
https://brainly.com/question/10638383
#SPJ5
[tex](4+\sqrt{-7}) (3+\sqrt{-7})[/tex]
I can do the previous part but I don't know what to do here
Answer:
25°; 115°.
Step-by-step explanation:
all the details are in the attached picture, the answers is marked with red colour.
Please help this is due in 20 mins, I will give brainliest
Answer:
L = 5[tex]\sqrt{10}[/tex]
Step-by-step explanation:
use Pythagorean Theorem:
L² + (5[tex]\sqrt{2}[/tex])² = (10[tex]\sqrt{3}[/tex])²
L² + 25(2) = 100(3)
L² + 50 = 300
L² = 250
L = [tex]\sqrt{250}[/tex] = [tex]\sqrt{25}[/tex] · [tex]\sqrt{10}[/tex] = 5[tex]\sqrt{10}[/tex]
Answer:
by Pythagoras law
(10√3)²=l²+(5√2)²
100×3-25×2=l²
l²=25o
l=√250=5√10
:.l=5√10
is 63 the soloution to p/9 = 7
Answer:
yes it is
Step-by-step explanation:
Yes the solution to p/9 = 7 is 63.
Mira's six test scores are given. What is the
positive difference between the mean of the
scores and the median of the scores?
86, 72, 92, 62, 99, 93
Answer:
First, we need to find the mean and median of the scores.
Mean:
86+72+92+62+99+93=504
There are 6 test scores, so:
504 ÷ 6 = 84
Median:
62, 72, 86, 92, 93, 99
86 + 92 = 172
172 ÷ 2 = 86
The answer would be:
Mean: 84
Median: 86
This is geometry please help 30 points!
Answer:
sin; 7.7
Step-by-step explanation:
✔️Reference angle = 50°
Length of side opposite to reference angle = b
Hypotenuse = 10
✅The trigonometric function to use is sin
✔️To find b (opp), we would use:
Sin 50 = opp/hyp
Sin 50 = b/10
10 × sin 50 = b
b = 7.66044443 ≈ 7.7 (nearest tenth)
cuál es el resultado de 1/2 + 1/4 + 0.25
Answer:
1
Step-by-step explanation:
[tex]\frac{1}{2}=.5 \\ \frac{1}{4}=.25[/tex]
0.5 + 0.25 + 0.25 = 1
espero que esto ayude :)
Which one is prime 32,42,29,15
Answer:
29
Step-by-step explanation:
32 can be created from 4 x 8, so it is not.
42 can be created from 6 x 7, so it is not.
15 can be created from 5 x 3, so it is not.
29 cannot be created from any numbers multiplied.
5 cm 7 cm 15 cm What is the surface area of the figure? by square centimeters
In the year 2001, a person bought a new car for $15500. For each consecutive year after that, the value of the car depreciated by 5%. How much would the car be worth in the year 2005, to the nearest hundred dollars?
Answer:
$12,000.
Step-by-step explanation:
Given that in the year 2001, a person bought a new car for $ 15500, and for each consecutive year after that, the value of the car depreciated by 5%, to determine how much would the car be worth in the year 2005, to the nearest hundred dollars, the following calculation must be performed:
100-5 = 95
15,500 x 0.95 x 0.95 x 0.95 x 0.95 x 0.95 = X
14.725 x 0.95 x 0.95 x 0.95 x 0.95 = X
13,988.75 x 0.95 x 0.95 x 0.95 = X
13,289.3125 x 0.95 x 0.95 = X
12,624.846875 x 0.95 = X
11.993.60453125 = X
Thus, to the nearest hundred dollars, the cost of the car after 5 years will be $ 12,000.
Find the length of the third side. If necessary, write in simplest radical form.
3
2
Answer:
4.2 ft
Step-by-step explanation:
Reference angle = 77°
Opposite side = DE = x
Hypotenuse = CD = 4.3 ft
Apply the trigonometric function of sine. Thus:
Sin 77 = opp/hyp
Sin 77 = x/4.3
Multiply both sides by 4.3
4.3 × sin 77 = x
x = 4.2 ft (nearest tenth)
4. Marlie made her last monthly interest-only payment on December 1. Her next payment is due on
January 1. What will be the amount of that interest-only payment?
en
Answer:
ella tiene que pagar 10 por mes. lo siento si no es así, esa no es la respuesta correcta.
Step-by-step explanation:
1 1/3+2 3/4 simplified
Answer:
4 1/12
Step-by-step explanation:
Answer: 4 1/2
cause it is
terry has nuts and bolts 7:9 if terry has 36 bolts how many nuts does terry have
Answer:
28
Step-by-step explanation:
Students at a major university are complaining of a serious housing crunch. Many of the university's students, they complain, have to commute too far to school because there is not enough housing near campus. The university officials respond with the following information:
The mean distance commuted to school by students is 17.1 miles, and the standard deviation of the distance commuted is 3.7 miles. Assuming that the university officials' information is correct, complete the following statements about the distribution of commute distances for students at this university.
1) According to Chebyshev's theorem, at least 36% of the commute distances lie between miles and miles. (Round your answer to 1 decimal place.)
2) According to Chebyshev's theorem, at least of the commute distances lie between 9.7 miles and 24.5 miles.
a) 56%
b) 75%
c) 84%
d) 89%
3) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately of the commute distances lie between 9.7 miles and 24.5 miles.
a) 68%
b) 75%
c) 95%
d) 99.7%
4) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately 68% of the commute distances lie between miles and miles.
Answer:
1) Between 12.5 miles and 21.7 miles.
2) b) 75%
3) c) 95%
4) Between 13.7 miles and 20.5 miles.
Step-by-step explanation:
Empirical Rule:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviations of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
Chebyshev Theorem:
The Chebyshev Theorem can also be applied to non-normal distribution. It states that:
At least 75% of the measures are within 2 standard deviations of the mean.
At least 89% of the measures are within 3 standard deviations of the mean.
An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]P = 100(1 - \frac{1}{k^{2}})[/tex].
1) According to Chebyshev's theorem, at least 36% of the commute distances lie between miles and miles.
Within k standard deviations of the mean, and k is found when [tex]P = 36[/tex]. So
[tex]P = 100(1 - \frac{1}{k^{2}})[/tex]
[tex]36 = 100 - \frac{100}{k^2}[/tex]
[tex]\frac{100}{k^2} = 64[/tex]
[tex]64k^2 = 100[/tex]
[tex]k^2 = \frac{100}{64}[/tex]
[tex]k = \sqrt{\frac{100}{64}}[/tex]
[tex]k = \frac{10}{8}[/tex]
[tex]k = 1.25[/tex]
Within 1.25 standard deviations of the mean.
1.25*3.7 = 4.6 miles
17.1 - 4.6 = 12.5 miles
17.1 + 4.6 = 21.7 miles
Between 12.5 miles and 21.7 miles.
2) According to Chebyshev's theorem, at least of the commute distances lie between 9.7 miles and 24.5 miles.
17.1 - 9.7 = 24.5 - 17.1 = 7.4 miles, so within 2 standard deviations of the mean, which is 75%, option B.
3) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately of the commute distances lie between 9.7 miles and 24.5 miles.
Within 2 standard deviations of the mean, by the Empirical Rule, which is 95%, option c.
4) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately 68% of the commute distances lie between miles and miles.
Within 1 standard deviation of the mean.
17.1 - 3.4 = 13.7
17.1 + 3.4 = 20.5
Between 13.7 miles and 20.5 miles.
the ratio of boys to girls in the park was 4 to 5 .if 270 children were in the park.How many girl?
Answer:
150 are girls.
Step-by-step explanation:
There is an important difference between the way counts are viewed in ratio to that in fractions.
The ratio of boys : girls
4:5
so you have 4 boys and 5 girls making the whole count in its simplest form.
4+5=9
So to change the ratio proportion into fraction proportion we have:
Boys: 4/9
Girls: 5/9
It is given that the whole is 270 therefore the count of girls is:
5/9 x 270 = 150
Artificial grass sells for $10.98 per square yard final cost to buy and install 69.2 square yards if the seller charges $5.15 per square yard for labor round to the nearest cent
Answer:
$1,116.19.
Step-by-step explanation:
Given that artificial grass sells for $ 10.98 per square yard, to determine the final cost to buy and install 69.2 square yards if the seller charges $ 5.15 per square yard for labor, round to the nearest cent, the following calculation must be performed:
69.2 x (10.98 + 5.15) = X
69.2 x 16.13 = X
1,116,196 = X
Thus, the cost to purchase and install 69.2 square yards of artificial grass is $ 1,116.19.
Alicia bought a package of eight peaches for $3.20. Find the cost of each peach.
Answer:
.40 cents each.
Step-by-step explanation:
$3.20/8=.40
2. Find the product using any property 4x7649x25.
Answer:
764900
Step-by-step explanation:
25x4 = 100
7649x100 = 764900
3t + 7 = 2 +5t , then find the value of t.
Answer:
t = 5/2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
3t + 7 = 2 + 5t
Step 2: Solve for t
[Subtraction Property of Equality] Isolate t terms: 7 = 2 + 2t[Subtraction Property of Equality] Isolate t term: 5 = 2t[Division Property of Equality] Isolate t: 5/2 = tRewrite: t = 5/2Answer:
t = ⁵⁄₂ or 2.5Explanation:
3t + 7 = 2 + 5t
Simplify both sides of the equation3t + 7 = 5t + 2
Subtract 5t from both sides3t + 7 − 5t = 5t + 2 − 5t
−2t + 7 = 2
Subtract 7 from both sides−2t + 7 − 7 = 2 − 7
−2t = −5
Divide both sides by -2
−2t / -2 = −5 / -2
Simplifyt = ⁵⁄₂
Turn the fraction into a decimalt = 2.5
t = ⁵⁄₂ or 2.5
What is the slope of the line? y-3=5(x-2)y−3=5(x−2)y, minus, 3, equals, 5, left parenthesis, x, minus, 2, right parenthesis Choose 1 answer: Choose 1 answer: (Choice A) A \dfrac15 5 1 start fraction, 1, divided by, 5, end fraction (Choice B) B -\dfrac45− 5 4 minus, start fraction, 4, divided by, 5, end fraction (Choice C) C 111 (Choice D) D 55
Answer: A
Step-by-step explanation:
Answer:5
Step-by-step explanation:I got it wrong and decided to give you guys the right answer.
Triangle ABC and Triangle DEF are similar. Find the unknown measures. (t = ? and u = ?)
Simplify the following question
x+9-10=500
Step-by-step explanation:
x+9-10=500
x-1=500
x=500+1=501
Step-by-step explanation:
solution
here,
given,
x+9-10= 500
or, x-1= 500
or, x= 500-1
or, x= 499
hope this helps u...
x + 14 = 113 x=______ solve the question
Answer:
x=99
Step-by-step explanation:
Move all terms not containing x to the right side of the equation.
what is the volume of a cube with 2 1/4 inch sides
Answer:11.39
Step-by-step explanation: