Answer:
Cailen can complete at least 6 assignments.
Step-by-step explanation:
Given that:
Time Cailen have = 2 hours = 2*60 = 120 minutes
Time taken to drive to house = 10 minutes
Time left for assignments = 120 - 10 = 110 minutes
Time taken on one assignment = 18 minutes
Let,
x be the number of assignments.
18x + 10 ≤ 120
18x ≤ 120-10
18x ≤ 110
Dividing both sides by 18
[tex]\frac{18x}{18}\leq \frac{110}{18}\\x\leq 6.11[/tex]
Hence,
Cailen can complete at least 6 assignments.
what’s the answer for this question?
Answer: 4-2.1x
Step-by-step explanation:
Which pair shows equivalent expressions
Answer:
The 2nd one -2(x+5)=2x-10
Step-by-step explanation:
I WILL MARK BRAINLIEST TO MORE THAN ONE PERSON WHO HELPS
5)Suppose that the equation N(t)=500(0.02)^(0.7t) represents the number of employees working t years after a company begins operations. a) how many employees are there when the company opens (at t=0). b)how long until there are at least 100 employees working? c) according to this model as t gets larger(and heads towards+infinite) what value does N approach? That is in the long term, how many employees will be working at this company, according to this model?
Step-by-step explanation:
Given
No. of employees [tex]N(t)=500(0.02)^{0.7^{t}}[/tex]
(a)When the company opens i.e. at t=0
[tex]N(0)=500(0.02)^{1}=10[/tex]
There are 10 employees at the beginning
(b)when N=100
[tex]100=500(0.02)^{0.7^{t}}\\0.2=0.02^{0.7^{t}}[/tex]
Taking log both sides
[tex]\ln (0.2)=0.7^t \cdot \ln (0.02)[/tex]
[tex]0.7^t=\frac{\ln (0.2)}{\ln (0.02)}=0.4114[/tex]
again taking log
[tex]t\times \ln (0.7)=\ln (0.4114)[/tex]
[tex]t=\dfrac{\ln (0.4114)}{\ln (0.7)}=2.49[/tex]
(c)when t tends to [tex]\infty[/tex], [tex](0.7)^t\rightarrow 0[/tex]
So, [tex]N(\infty)=500\cdot(0.02)^0=500\times1=500[/tex]
i.e. there can be 500 employees at max
Expand and simplify x(x − 3)(x + 5)
please help me.
b = [?]
3
b
Enter the number
that goes beneath
the radical symbol
Answer:
b=√7Step-by-step explanation:
Every triangles are congruent
according to Pythagoras theorem
a²+b²=c²
3²+b²=4²
b²=4²-3²
b=√4²-3²
b=√16-9
b=√7
If a number and it's inverse (ex. 8 and -8) are both x-values, is the relation still considered a function?
Answer:
well just cout
Step-by-step explanation:
los 1=-1 2=-2see easy
If a figure is dilated by a factor of 5/6 Area of a figure will change by a factor of
Given:
A figure is dilated by a factor of [tex]\dfrac{5}{6}[/tex].
To find:
The factor by which the area of the figure will change.
Solution:
We know that, if a figure is dilated by a factor k then the area of that figure is change by a factor of k² .
A figure is dilated by a factor of [tex]\dfrac{5}{6}[/tex].
So, [tex]k=\dfrac{5}{6}[/tex].
The area of the figure will change by a factor of k² .
[tex]k^2=\left(\dfrac{5}{6}\right)^2[/tex].
[tex]k^2=\dfrac{5^2}{6^2}[/tex]
[tex]k^2=\dfrac{25}{36}[/tex]
Therefore, the area of the figure will change by the factor of [tex]\dfrac{25}{36}[/tex].
Write an equation of the line with a slope of 2 and a y-intercept of 9.
Please help me find the missing angle
Answer:
64
Step-by-step explanation:
Determine the missing length of the right triangle below using the Pythagorean Theorem (a²+b²=c²). Round to the nearest whole number.
Answer:
11
Step-by-step explanation:
[tex]c=\sqrt{a^{2} + b^{2} } \\14 = \sqrt{9^{2}+ b^{2} } \\14 = \sqrt{81 + b^{2} } \\14^{2} = 81+b^{2} \\196 = 81 + b^{2} \\81 + b^{2} = 196\\b^{2} = 196-81\\b^{2} = 115\\b = \sqrt{115} \\b = 10.72\\b = 11[/tex]
What is the answer!!!!!!
Answer:
The answer is c: the lendth of the photo frame is between 11 and 12 inches.
I hope this helps you!
I need help me plzz im going to give yall bairless
Answer:
A,C,D
Step-by-step explanation:
only b equels an integer :)
Answer:
A.
C.
D.
Step-by-step explanation:
Write the resulting inequality.
1. −5 ≤ −2; Add 7 to both sides
Answer:
2<5
Step-by-step explanation:
there u go hope it helps
A rectangular park is 26 m long and 25m broad.Find it's area and cost of paving it with blocks costing Rs. 38 per m square.
Answer:
Area of park = 650m ²
Cost of setting blocks = Rs.24,700
Step-by-step explanation:
Given:
Length of park L = 26 m
Width of park B = 25 m
Find:
Area
Cost of Paving = 38 per m square
Computation:
Area of park = L x B
Area of park = 25 x 26
Area of park = 650m ²
Cost of setting blocks = Area of park x 38
Cost of setting blocks = 650 x 38
Cost of setting blocks = Rs.24,700
What is the solution of the proportion 5/8=b/12
Answer:
15/2 I think
Step-by-step explanation:
Which expression is equivalent to 24 + 64
Answer:
4(5 + 16)
Step-by-step explanation:
B) 1) Which of the following represents the commutative property of addition?
a) 9+7 = 7 +9
b) 5+1 = 4+2
C) 8+ 3 = 6 +5
2) Which of the following does not represent the commutative property of
addition?
a) 8 + 6 = 6 +8
b) 10+2 = 10 + 2
c) 4+ 5 = 5 + 4
Answer:
1
9 +7= 7+9
2
10 +2 =10 +2
Step-by-step explanation:
Hope this helps
Franklin Neason cams $525 a week as a sales manager. What is his semimonthly salary?
What statement best describes the function?
Answer:
d
Step-by-step explanation:
Ryan put $160 in a bank account. After 2 months, the total in his account decreased by 25%. What is the amount in Ryan's account now?
Answer:
$140
Step-by-step explanation:
Ryan put $160 in a bank account. After 2 months, the total in his account decreased by 25%.
Step 1
We calculate the Decrease
Original amount × Percentage Decrease
Original amount = $160
Percentage Decrease = 25%
Hence:
Decrease = $160 × 25%
= $40
Step 2
The amount in Ryan's account now is calculated as:
$160 - $40
= $140
please help :/ it’s pythagorean theorem
Answer:
10.9ft13.7ftStep-by-step explanation:
The formula for Pythagorean theorem is [ a² + b² = c² ]. We are already given "a" and "c" for both problems, so, solve the theorem for b.
Question 1:
5² + b² = 12²
25 + b² = 144
b² = 119
√b = √119
b ≈ 10.9ft
Question 2:
6² + b² = 15²
36 + b² = 225
b² = 189
√b = √189
b = 13.7ft
Best of Luck!
What will my solution be 9 8 8 2345
Answer:
9882345=9.882345 X [tex]10^{6}[/tex]
Step-by-step explanation:
List three different combinations of coins, each with a value of 140% of a dollar
Answer:
1) 14 dimes
2) 5 quarters 3 nickels
3) 140 pennies
4) 28 nickels
5) 4 quarters 4 dimes
6) 10 dimes 4 nickels
Step-by-step explanation:
140% = $1.40
Find the unknown sides and angles of this triangle using the Law of Cosines. Round to the nearest hundredth.
Answer:
Side c = 10.35
Angle A = 50.87°
Angle B = 94.13°
Step-by-step explanation:
The Law of Cosines states that:
a² = b² + c² - 2bcCos A
We are to to find side c, Angle A and B
side a = 14
sides b = 18
Angle C = 35°
1) Side c
= c² = a² + b² - 2abCos C
c² = 14² + 18² - 2 × 14 × 18 Cos 35
c = √(14² + 18² - 2 × 14 × 18 Cos 35)
c = 10.3512
Approximately = 10.35
2) Angle A
Cos A = b² + c² - a²/2bc
A = arc cos (b² + c² - a²/2bc)
A = arc cos (18² + 10.35² - 14²/2 × 18 × 10.35)
A = 50.8737°
A = Approximately = 50.87°
3) Angle B
Cos B = a² + c² - b²/2ac
B = arc cos (a² + c² - b²/2ac)
B = arc cos (14² + 10.35² - 18²/2 × 14× 10.35)
A = 94.13123°
A = Approximately = 94.13°
Write an equation in point-slope form of the line having the given slope that contains the given point. then graph the line
(dont think u can graph so its okay)
Answer:
The line of the equation in the point-slope form of the line passing through the point (3, -1) and having slope 1/2 will be:
[tex]y +1 = \frac{1}{2} (x-3)[/tex]
Please check the attached graph.
Step-by-step explanation:
Given
The slope m = 1/2The point (3, -1)Point slope form:
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where
m is the slope of the line(x₁, y₁) is the pointIn our case:
m = 1/2
The point (x₁, y₁) = (3, -1)
substituting the values m = 1/2 and the point (x₁, y₁) = (3, -1) in the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y - (-1) = \frac{1}{2} (x-3)[/tex]
[tex]y +1 = \frac{1}{2} (x-3)[/tex]
Thus, the line of the equation in the point-slope form of the line passing through the point (3, -1) and having slope 1/2 will be:
[tex]y +1 = \frac{1}{2} (x-3)[/tex]
Please check the attached graph.
How do you know when a mapping diagram, ordered pair, table or graph is a function
Answer:
To check if a relation is a function, given a mapping diagram of the relation, use the following criterion: If each input has only one line connected to it, then the outputs are a function of the inputs.
A school is selling tickets to their Spring theater production Student tickets cost $6 each and non-student tickets cost $9 each There are a total of 250 seats available in the auditorium where the production will be held, and there are two different show times that people can choose to attend. The school is hoping to sell enough tickets to raise at least $2,700 for the theater department Let s represent the number of student tickets sold and let n represent the number of non-student tickets sold. Which points on the graph would lie within the solution region for the system of inequalities modeled by this situation?
Answer:
4x+3150-6x=2876
-2x=-274
x=137
y=525-137
y=388
Hence, about 137 childern tickets were sold and 388 gernal admission tickets were sold.
Paul.
The solution of the given situation is that about 137 childern tickets were sold and 388 admission tickets were sold.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
We are given that school is selling tickets to their Spring theater production Student tickets cost $6 each and non-student tickets cost $9 each There are a total of 250 seats available in the auditorium.
Let s represent the number of student tickets sold and let n represent the number of non-student tickets sold then the equation is;
4x+3150-6x=2876
-2x=-274
x=137
Now,
y=525-137
y=388
Hence, about 137 childern tickets were sold and 388 admission tickets were sold.
Learn more about equations here;
https://brainly.com/question/25180086
#SPJ2
The residents of a city voted on weather to raise property takes. The ratio of yes votes to no votes was 7 to 5. If there were 2885 no votes, what was the total number of votes
Answer: 6,924 votes
Step-by-step explanation:
The ratio of yes to no votes was 7 to 5.
This means that for every 7 yes votes, there were 5 no votes.
If there were 2,885 nos, the number of yeses can be gotten using direct proportion:
7 : 5
x : 2,885
Cross multiplying would give:
5x = 20,195
x = 20,195/5
x = 4,039 yes
Total votes would be:
= 4,039 + 2,885
= 6,924 votes
Seven times the sum of a number and 3 is 9.
A right triangle has a leg of length 9 and a hypotenuse of length 17
yards. Find the length of the other leg (nearest tenth).
