Answers
Answer:
neither of them
Step-by-step explanation:
1. To prove that neither of them are correct, we have to work on the equation 2/5(b) + 1 = -11 ourselves.
2. (Solving)
Step 1: Subtract 1 from both sides. (This is where Tyler got it wrong)
[tex]\frac{2}{5}b + 1 - 1 = -11 - 1[/tex] [tex]\frac{2}{5}b = -12[/tex] (this is where Mai got it wrong)Step 2: Multiply both sides by 5/2.
[tex]\frac{2}{5}b * \frac{5}{2} = -12 * \frac{5}{2}[/tex] [tex]b = \frac{-60}{2}[/tex] [tex]b = -30[/tex]Step 3: Check if solution is correct.
[tex]\frac{2}{5}(-30) + 1 = -11[/tex] [tex]\frac{-60}{5} +1 = -11[/tex] [tex]-12 + 1 = -11[/tex] [tex]-11 = -11[/tex]3. As you can see, our solution is correct, but it doesn't match with either Mai or Tyler's works.
Therefore, the answer is neither of them are correct.
Related Questions
70=x+16? Show how to do
Answers
You can run at a speed of 6 mph and swim at a speed of 3 mph and are located on the shore, 4 miles east of an island that is 1 mile north of the shoreline. How far should you run west to minimize the time needed to reach the island?
Answers
The distance to run to minimize the time needed to reach the island is
3.4 miles
What is the Pythagorean theorem?Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Let x = distance to run.
Remaining distance to the point that is closest to the island = (4 - x) miles.
The distance d to the point x from the island is
using the Pythagorean theorem:
d² = 1² +(4 - x)²
d² = 1 + 16 -8x + x²
d² = 17 - 8x + x²
d = √(x² - 8x + 17)
Total travel time.
= Times running + Time swimming.
Speed = Distance / Time
Time = Distance/Speed
Total time:
T = x/6 + d/3
T = x/6 +√(x² - 8x + 17)/3
Minimized time is when T' is zero.
T' = 0
1/6 + 1/3 x 1/{2(√(x² - 8x + 17)} x (2x - 8) = 0
1/6 + (2x - 8)/6√(x² - 8x + 17) = 0
Multiply 6 on both sides.
1 + (2x - 8)/√(x² - 8x + 17) = 0
√(x² - 8x + 17) + 2x - 8 = 0
√(x² - 8x + 17) = 8 - 2x
Square both sides.
(x² - 8x + 17) = (-(2x - 8))²
(x² - 8x + 17) = (2x - 8)²
x² - 8x + 17 = 4x² - 32x + 64
4x² - x² - 32x + 8x + 64 - 17 = 0
3x² - 24x + 47 = 0
Finding the roots of the quadratic equation.
We get,
x = 3.4 and 4.6
Thus,
The distance to run to minimize the time needed to reach the island is
3.4 miles
Learn more about the Pythagorean theorem here:
https://brainly.com/question/14930619
#SPJ2
If AZ = 85 ZE=51 find Bc
Answers
85^2-51^2
=4624
Then we square root that to get…
68
BUT the answer is saying from b to c so we would have to multiply it by 2 to get…
136
given the quadratic function, find the x value of the vertex of y=x2=4x-8
Answers
Answer:
27x^2−9y^2=81
Greg received 3/8 of the votes cast for class secrectary. How many votes did he receive
Write your answer in simplest form
( show me how you got your answer like an explanation please Thanks! :)
Answers
Answer: 3/8
Step-by-step explanation: We don't know how many votes are there for the class secretary.
Mr. Martin drove away from his house without his wallet. He did a 180. Where is he heading now?
Answers
Martin is heading to his house
Find the variance of [6 ,7 ,10 ,11 ,12 ,13 ,16 ,18 ,25].
Round off your final answer into two decimal places. (5pts)
Answers
The variance of [6 ,7 ,10 ,11 ,12 ,13 ,16 ,18 ,25] is 34.61
The sample size (n) = 9
The mean of the distribution (x_i) is the sum of the distribution divided by the number of items in the distribution.
[tex]\mathbf{x_i=\dfrac{6+7+10+11+12+13+16+18+25}{9}}[/tex]
[tex]\mathbf{x_i=\dfrac{118}{9}}[/tex]
[tex]\mathbf{x_i=13.11}[/tex]
The variance is the average between the difference of the mean, followed by squaring the result.
[tex]\mathbf{S^2 = \dfrac{\sum (x_i - \bar x)^2}{n-1}}[/tex]
[tex]\mathbf{S^2 = \dfrac{ ((6 -13.11)^2+ (7-13.11)^2+...+(16-13.11)^2+(18-13.11)^2+(25-13.11)^2}{8}}[/tex]
[tex]\mathbf{S^2 = \dfrac{276.8889}{8}}[/tex]
[tex]\mathbf{S^2 = \ 34.61}[/tex]
Therefore, the variance of the sample given is 34.61
Learn more about variance here:
https://brainly.com/question/13091634?referrer=searchResults
3) Which graph best represents the solution set of
of 2/3x + y <_ -2?
Answers
Answer:
D
Step-by-step explanation:
since it's <_ -2, everything will be left of -2 on the x axis
Please please help please help me help help me please help me
Answers
Answer:
m = 6
Step-by-step explanation:
m = 9-3 / 1 - 0
m = 6/1
Cariyah placed $2000 into a savings account with 3.5% interest, compounded annually. Write Cariyah's total savings S(t) as a function of time in years, t.
S(t) =
Answers
Answer:
450
Step-by-step explanation:
Scrooge invests $500. He found a bank that would pay him 4% interest, compounded monthly.
a) Type of exponential function.
b) Write a function to represent the situation.
c) If he deposits the whole $500 and does not deposit or withdraw any other amount, how much money would he have after 4 years?
Answers
The formula that can be used to determine the amount Scrooge would have in 4 years is: A(1 +r)^nm
A = Amount invested = $400
r = interest rate = 4/12 = 0,0333
n = number of years
m = number of compounding
$500(1.0333)^(12 x 4) = $586.60.
A similar question was solved here: https://brainly.com/question/15278974
Write 5/6% as a decimal number.
Answers
Answer: 5/6 as a decimal is 0.833
Step-by-step explanation:
just divide 5 by 6
Fred earns $45 mowing the lawn. He spends $5 on music and puts half of what's left in a savings account. He then gets another $5 for washing his neighbor's car.
First, write the expression that represents the number of dollars Fred keeps (and does not put in his savings account), and then simplify.
Answers
The total amount that Fred keeps (and does not put in his savings account) is $20
Total earnings of Fred = $45
Amount spent on music = $5
Amount remaining after spending on music = $40
Fred puts half of what's left in a savings account.
Total amount put in the savings account = 40/2
Total amount put in the savings account = $20
The total amount that Fred keeps (and does not put in his savings account) is $20
Learn more here: https://brainly.com/question/25698362
If the simple interest on $2000 for 3 years is $300, then what is the interest rate?
Answers
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill &\$300\\ P=\textit{original amount deposited}\dotfill & \$2000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &3 \end{cases} \\\\\\ 300=(2000)(r)(3)\implies 300=6000r\implies \cfrac{300}{6000}=r \\\\\\ \cfrac{1}{20}=r\implies 0.05=r\implies \stackrel{\textit{converting to percent}}{100\cdot 0.05}\implies \stackrel{\%}{5}=r[/tex]
tom drives a truck his regular trip is a distance of 280km.he drives at an average speed of 80km/h.for saftey reason his boss puts a speed limit on his trucktoms average speed by 10km/h
how much longer will it takes tom to drive this regular trip
Answers
Answer:
Step-by-step explanation:
280 / (80 - 10) - 280 / 80 = 0.5 hr longer
2x+3=x+15
Help ASAP!
Answers
2x + 3 = x + 15
- 3 - 3
————————
2x = x +12
- x - x
—————
x = 12
Answer:
x=12
Step by step explanation:
Let's solve your equation step-by-step.
2x+3=x+15
Step 1: Subtract x from both sides.
2x+3−x=x+15−x
x+3=15
Step 2: Subtract 3 from both sides.
x+3−3=15−3
x=12
Therefore,the answer is=>x=12
I neeed help pllllzzz question 1
Answers
Answer:
The third tree
Step-by-step explanation:
The first one is growing at a rate of 3.5
The second one is growing at a rate of 2.5
The third one is growing at a rate of 2
I hope this helps!!
7,433,654 rounded to the nearest 100
Answers
4х = 32
А. x= 9
В. x= 8
с. x= 28
D. х = 128
Answers
Answer:
B
Step-by-step explanation:
Step 1: Divide both sides by 4.
4x/4 = 32/4
4x/4 leaves you with x by itself, and 32/4 is 8. So x = 8
5. En el banco, Brent cambia $50 en billetes por
50 monedas de un dólar. La masa total de las
monedas pesa 405 gramos. Estima la masa de
1 moneda de un dólar.
Answers
Answer:
8.1 g
Step-by-step explanation:
405 g ÷ 50 = 405 ÷ (100/2) = 405 × 2/100 = 810/100 = 8.1
8.1 g
Norman spent a total of $2.68 on Cheese. If the grocery store sells the cheese for $.67 per pound (lb), how many pounds (lbs) did Norman buy?
Answers
Answer:
4 pounds (lb)
Step-by-step explanation:
$2.68 (spent) ÷ $0.67p/lb = 4 lb
EXPLANATION:
if you divide $2.68 by $0.67 you get 4
to check your answer you can multiply 4 by $0.67 and you’ll get $2.68
In right triangle EAD with right angle at A, AE=4 units, AB=BC=CD and the area of triangle ABE=6 sq units. What is the length of segment CE? Express your answer as a decimal to the nearest tenth.
Answers
Answer:
CE = 7.2
Step-by-step explanation:
Area = 1/2bh
6 = 1/2 (b)(4)
6 = 2b
3 = b b represent AB, so BC and CD is 3 unit also
Length of CE , you have a right triangle with a leg(AE) = 4 and and the other leg (AC) = 6 and the hypotenuse (CE) = x
The figure is a right triangle so you know that a² + b² = c²
4² + 6² = x²
16 + 36 = x²
52 = x²
[tex]\sqrt{52 }[/tex] = x
7.211 ≈ 7.2 = CE
what is the volume of the cone if the volume of the cylinder is 51L.
Answers
Answer:
17L
Step-by-step explanation:
Volume of cone = 1/3(Volume of cylinder )
= 1/3 * 51L
= 17L
(-1/9) ÷ 6/7 =
Help
Me
Pls
:)
Answers
Answer:
I believe your answer is -7/54
Answer: -0.129
Step-by-step explanation:
78 divided by 21?:-:
Answers
Answer:
3.7 or 3.71428571429
Step-by-step explanation:
:/
Answer:
3.714
Step-by-step explanation:
78/21 is 3.71428571429 but you can round that to 3.714
Solve.
−3 2/3x = −2 1/5
Answers
Answer:
1 2/3
Step-by-step explanation:
You divide -3 2/3x to -2 1/5 and you will get 1 2/3
A bicycle has a listed price of 859.99 tax. If the sales tax rate is 6.25%, find the total cost of the bicycle with sales tax included
Answers
[tex]\begin{array}{|c|ll}\cline{1-1}\textit{a\% of b}\\\cline{1-1}\\\left( \cfrac{a}{100} \right)\cdot b\\\\\cline{1-1}\end{array}~\hspace{5em}\implies \stackrel{\textit{6.25\% of 859.99}}{\cfrac{6.25}{100}\cdot 859.99} ~~\approx ~~53.75\\\\\\~\hfill \stackrel{\textit{total cost for the bike}}{859.99+53.75 ~~\approx~~ 913.74}~\hfill[/tex]
in what value of b makes y= 2x + b the same as y= 2x what does that value mean
Answers
Answer:
B = 0
Step-by-step explanation:
If you have y = 2x + b and are trying to get to y = 2x
Then just remove the B itself meaning it's value would be 0 so it is as if that variable was never in the actual equation.
Basing ourselves off of the formula "y = mx + b"
B = 0 would mean that the y-intercept of the line is 0
Answer:
0
Step-by-step explanation:
if y=2x and y=2x+b is the same then b must be 0.
Please help me with this answer
Answers
Answer:
[tex]n = \frac{53}{79}[/tex]
Step-by-step explanation:
79 : 53
divide by 79 on both sides
[tex]1 : \frac{53}{79}[/tex]
[tex]n = \frac{53}{79}[/tex]
Answer: 1 : 1.49
Step-by-step explanation:
the starting Ratio was= 79 : 53
now its 1 : ?
The first number was divided by 79 so we divide the other number by 79.
1 : 53 is now
1 : 1.49 (This is rounded to the 2d.p since the question asked for it)
A trader saved $200.00 for 3 years at 12% simple interest per annum. What will be the total amount in the trader's account at the end of 3years
Answers
Answer:
i).272
ii. (2x-1) (3y+2)
b). 14,400 seconds
Step-by-step explanation:
in pic
(Hope this helps can I pls have brainlist (crown)☺️)
