Answer:
Step 4.
Step-by-step explanation:
Given that Kayla uses mental math to find the product of $ 11.97x5, but she made a mistake, and knowing that her steps were the following:
Step 1: Round $ 11.97 to $ 12.
Step 2: multiply $ 12.00x $ 5 = 60
Step 3: subtract $ 12.00- $ 11.97
Step 4: subtract $ 60.00- $ 3.00 = 57.00.
To determine in which one is where Kayla made her first mistake, the following reasoning must be performed:
Rounding from 11.97 to 12 implies a difference of 0.03 that must be multiplied by 5, the result of which is 0.15.
Thus, from the result of 12 x 5 (60), 0.15 must be subtracted, and not 3, as was subtracted in Step 4. Therefore, Step 4 is the one where the error occurred.
Which applies the power of a product rule to simplify (50) ?
(50) 3 - 56
(51) 3 = 3(57) - 154
(50 ° - 5373 = 1251
(50) 3 - 5 t = 1251
Rachel is a nurse she owns 12 vacation days after working 768 hours how many hours does Rachel need to work to earn one vacation day
PLS HELP ME!!!!!!
5w ≥ –6w + 11
Answer:
w ≥ 1
Step-by-step explanation:
Given
5w ≥ - 6w + 11 ( add 6w to both sides )
11w ≥ 11 ( divide both sides by 11 )
w ≥ 1
Use synthetic division to find the result
when (x3 - 2x2 - 19x + 20) is divided by (x +
4).
Answer:
x^2 - 4x - 3 + 28/x+4
Step-by-step explanation:
Find the CIRCUMFERENCE of the circle.
Answer:
25.1327412287
Step-by-step explanation:
simplify the expression 3x -2y+6-6x+5y-8
Answer:
-3x + 3y - 2
Step-by-step explanation:
Collect like terms and add/subtract
Plssss help! Find the perimeter of each polygon. Assume that lines which appear to be tangent.
Answer:
11) 75.2
12) 44.2
Step-by-step explanation:
angles formed by intersecting lines tangent to a circle are the same length.
11)
Perimeter = 2(5) + 2(12) + 2(11.4) + 2(9.2) = 75.2
12)
Perimeter = 2(4) + 2(8) + 2(5.3) + 2(4.8) = 44.2
The scale on a map Is 1 Inch to 3 mlles. If the distance between two points is 6 Inches, what proportion should you use
to find the actual distance?
3 miles/1 inch=6 inches/ x x/1 inches = 6 inches/3 miles x/1 inch= 6 inches/3 miles 1inch/3 miles= 6 inches/x
Help I have 10 mins.
Answer:
[tex]\sqrt{0.5}[/tex]
Step-by-step explanation:
cosx=adj/hyp
adj= [tex]\sqrt{2}[/tex]/2
hyp= r
cos(45)= ([tex]\sqrt{2}[/tex]/2)/r
[tex]\sqrt{2}[/tex]/2 = ([tex]\sqrt{2}[/tex]/2)/r
multiply both sides by r
([tex]\sqrt{2}[/tex]/2)r = [tex]\sqrt{2}[/tex]/2
divide both sides by [tex]\sqrt{2}[/tex]/2
r = 1
pythagorean theorem: [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]
a = [tex]\sqrt{2}[/tex]/2
b = y
c = r = 1
[tex](\sqrt{2}/2)^{2}[/tex] + [tex]y^{2}[/tex] = [tex]1^{2}[/tex]
[tex](\sqrt{2}/2)^{2}[/tex] = 2/4 = 0.5
0.5 + [tex]y^{2}[/tex] = 1
subtract 0.5 from 1
[tex]y^{2}[/tex] = 0.5
[tex]\sqrt{y^{2}}[/tex] = [tex]\sqrt{0.5}[/tex]
y = [tex]\sqrt{0.5}[/tex]
A cyclist rides her bike at a rate of 10 meters per second. What is this rate in kilometers per hour? How many kilometers will the cyclist travel in 4 hours? Do not round your answers.
Answer:
This rate in kilometers per hour is: 36 kilometers per hour. Also, the cyclist will travel 144 km in 4 hours.
Step-by-step explanation:
In order to find the rate in kilometers per hour, you have to consider that 1 meter per second is equal to 3.6 kilometers per hour and you can use a rule of three with this information:
1 meter per second → 3.6 kilometers per hour
10 meters per second → x
x=(10*3.6)/1=36 kilometers per hour
Now, you can use the formula to calculate speed and solve for the distance:
speed=distance/time
36=distance/4
distance=36*4
distance=144 km
According to this, the answer is that this rate in kilometers per hour is: 36 kilometers per hour. Also, the cyclist will travel 144 km in 4 hours.
A line passes through the point (-1, -2) and has a slope of 5.
Write an equation in slope-intercept form for this line.
Answer:
[tex]y=5x+3[/tex]
Step-by-step explanation:
Slope-intercept form: [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept (the value of y when the line crosses the y-axis)
1) Plug the given slope 5 into the equation
[tex]y=mx+b\\y=5x+b[/tex]
2) Find the y-intercept [tex]b[/tex] by plugging in the point (-1,-2)
[tex]y=5x+b\\-2=5(-1)+b\\-2=-5+b[/tex]
Add 5 to both sides
[tex]-2+5=-5+b+5\\3=b[/tex]
3) Plug the y-intercept back into the equation
[tex]y=5x+3[/tex]
I hope this helps!
At Maddison high school each student studies one foreign language is 3/5 take Spanish and one-fourth of the remaining take german what percent takes frnechan how
Answer:
Step-by-step explanation:
3/5 = 0.6
1 - 0.6 = 0.4 students left
Multiply the amount of students remaining by the fractional amount that take German
0.4 x 1/4 = 0.1
1 - 0.6 - 0.1 = 0.3
0.3 x 100 = 30%
Therefore 30% of students take French
A function y = g(x) is graphed below. What is the solution to the equation g(x) = 3? x = 3 3 < x < 5 3 ≤ x ≤ 4 3 ≤ x < 5
The Answer is: x = 3
Answer: A. x = 3 is the right one!
What is the measure of x?
30°
60°
90°
120°
Answer:
the measurement of x is 30 degrees
Need help plz im really stuck
Answer:
um with what plz tell for I can help you
URGENT HELP
m∠T = ?
URGENT HELP
Answer:
105
Step-by-step explanation:
Hello There!
(Let x = angle T)
if you didn't know an exterior angle of a triangle is equal to its two opposite interior angles
So basically
155 (being the exterior angle) is equal to 50 + x (being the opposite interior angles)
so x = 155 - 50
155 - 50 = 105
so we can conclude that x (angle T) equals 105
Answer:
105 degrees
Step-by-step explanation:
The angle measure of the exterior angle is equal to the sum of the two nonadjacent interior angles (angle V and angle T).
155 - 50 = 105
I need help pls, what’s the answer?
Answer:
x₂ = - 3
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to [tex]\frac{5}{6}[/tex]
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (9, 9) and (x₂, y₂ ) = (x₂, - 1)
m = [tex]\frac{-1-9}{x_{2}-9 }[/tex] , that is
[tex]\frac{-10}{x_{2}-9 }[/tex] = [tex]\frac{5}{6}[/tex] ( cross- multiply )
5(x₂ - 9) = - 60 ( divide both sides by 5 )
x₂ - 9 = - 12 ( add 9 to both sides )
x₂ = - 3
Luke wants to send 21 parcels by the Express service.
He does the calculation 20 x £15 = £300 to estimate the cost.
(b)
Explain why Luke's calculation shows the actual cost will be more than £300
Answer:
Because he has to send one more parcel than the estimation.
Step-by-step explanation:
How long is the wire that supports the tree
10
5.6 ft
3.3 ft-
As a retiring employee, Khadijah receives 5% of her average teaching salary for the last five
years she worked. She receives this salary for every year of employment with the company.
Khadijah plans on retiring after 15 years with the school system and then start her own
Corporation. Her salaries for the last five years are $65,000, $70,000, $82,000, $83,000, and
$88,500. Calculate Khadijah's total retirement salary for 15 years.
Answer:
Step-by-step explanation:
Average salary = ($65,000 + $72,000 + ... + 88,500 )/5 = $77,100
5% of $77,100 = $3,855
15 years * $3,855/year = $57,825
I need to know these as well- Ive been staring at my screen and I cant figure them out-
A teacher gave a 3-question multiple choice quiz. Each question had 4 choices to select from. If the a student completely guessed on every problem, what is the probability that they will have 2 or less correct answers?
Answer:
0.9844
Step-by-step explanation:
This is a binomial probability problem.
Probability of getting a correct answer: p = 1/4
Probability of getting an incorrect answer: q = 3/4
Number of questions; n = 3
Thus;
probability of 2 or less correct answers is; P(x ≤ 2) = P(X = 2) + P(X = 1) + P(X = 0)
From binomial probability the formula is;
P(X = x) = C(n, x) × p^(x) × q^(n - x)
P(X = 2) = C(3, 2) × (¼)² × (¾)¹
P(X = 2) = 3 × 0.0625 × 0.75
P(X = 2) = 0.1406
P(X = 1) = C(3, 1) × (¼)¹ × (¾)²
P(X = 1) = 3 × 0.25 × 0.5625
P(X = 1) = 0.4219
P(X = 0) = C(3, 0) × (¼)^(0) × (¾)³
P(X = 0) = 0.4219
P(x ≤ 2) = 0.1406 + 0.4219 + 0.4219
P(x ≤ 2) = 0.9844
What is this? Help would be highly appreciated:)
Answer:
19
Step-by-step explanation:
straight line=180°
180-123=57
57/3=19
19*3=57
Some Bollywood films are popular with non Indian audiences.
Monsoon Wedding made _____________worldwide in 2001.
Another film, Slumdog Millionaire, which was British and Indian, made more than _________worldwide and received many awards.
Group of answer choices
A. $17 million; $589 million
B. $20 million; $1 billion
C. $15 million; $377 million
D. $16 million; $478
Answer:
d
Step-by-step explanation:
IT is d bc Some Bollywood films are popular with non Indian audiences.
Solve for X. Plz I can't figure it outtt!
9514 1404 393
Answer:
x = 40
Step-by-step explanation:
The angle bisector divides corresponding sides proportionally.
x/16 = 25/10
x = 16(25/10) . . . . . multiply by 16
x = 40
Courtney picked 7 quarts of blueberries. She wants to share them equally among 3 of her neighbors. What fractional part of the blueberries that Courtney picked will each neighbor get? *
Answer:
7 / 1/3
Step-by-step explanation:
Which expression is equivalent to 4(x+1)-7x
Carran is building a fence around his rectangular yard. The fence will cover the front and the 2 sides of the yard. The
front of the yard is 4 feet more than twice the length of one side of the yard. The sides of the yard are the same length. If
the perimeter of the yard is 80 feet, what are the dimensions of the fence?
9514 1404 393
Answer:
sides: 12 feetfront: 28 feetStep-by-step explanation:
Let x represent the length of one side of the yard. Then the width of the yard is 2x+4, and the perimeter is ...
P = 2(L +W) . . . . . . . . . . formula for perimeter of a rectangle
80 = 2(x + (2x+4)) . . . . . with values from the problem filled in
40 = 3x +4 . . . . . . . . divide by 2, collect terms
36 = 3x . . . . . . . . . subtract 4
12 = x . . . . . . . . . divide by 3. This is the length of the side fence.
2x +4 = 2(12) +4 = 28
The fence is 12 feet on the sides and 28 feet on the front. (Its total length is 52 feet.)
If a 20 foot ladder makes a 58° with the ground, how many feet up a wall will
the ladder reach? Round your answer to the nearest tenth
Answer:
Yes
Step-by-step explanation:
Trust me bro.
Answer:
Step-by-step explanation:
sin58=h/20
h=20sin58
h=17.0 ft
A figure that has three dimensions is called
Answer:
pyramid
Step-by-step explanation:
gooooooooooooooooooooooooooooooogle
Answer:
Answer :prisms and pyramids
