6. Create an equation and solve for n.
5n - 11
Answer:
11-n=5
Step-by-step explanation:
A cat chased after a dog for l mile, and then stop to rest. As soon as the cat sotped,the dog chased after the cat for 1500 yard back towards their starting point. How many yards were the ainmals for her starting point?
Answer:
0.14768 mile
Step-by-step explanation:
Given that:
Distance at which cat chased dog = 1 mile ; hence they've moved 1 mile from their starting position
Distance for. Which dog chased cat =. 1500 yards towards starting position
Converting miles to yards
1 mile = 1760 yards
1 yard = 0.000568 mile
Number of miles the animals are from Their starting position :
1760 yards - 1500 yards = 260 yards
260 * 0.000568 = 0.14768 mile
Rhion sat maths and English test
In the maths she scores 14 out of 17
In th english test she scored 31 out of 39
which one did she do better.
Answer:
Rhion did better in maths test.
Step-by-step explanation:
Given that:
Rhion scored 14 out of 17.
We will find percentage and then compare them.
Percentage = [tex]\frac{Score}{Total\ marks}*100[/tex]
Percentage = [tex]\frac{14}{17}*100[/tex]
Percentage = 82.35%
Rhion scored 31 out of 39.
Percentage = [tex]\frac{31}{39}*100[/tex]
Percentage = 79.48
On comparing,
82.35 > 79.48
Hence,
Rhion did better in maths test.
A computer software company models its profit with the function P(x) = -x2 + 15x – 34 where x is the number of games, in hundreds, that the company sells and P(x) is the profit, in thousands of dollars. How many games must the company sell to get $16,000 in profit?
Step-by-step explanation:
A computer software company models its profit with the function :
[tex]P(x) = x^2 + 15x -34[/tex] ....(1)
Where
x is the number of games, in hundreds, that the company sells and P(x) is the profit, in thousands of dollars.
We need to find the number of games the company sell to get $16,000 in profit.
Put P(x) = 16,000 in equation (1).
[tex]x^2 + 15x -34=16000\\\\x^2+15x-34-16000=0\\\\x^2+15x-34-16000=0\\\\x^2+15x-16034=0[/tex]
Using quadratic formula with a=1, b=15, c=-16034.
[tex]x=\frac{-15+\sqrt{15^{2}-4\left(1\right)\left(-16034\right)}}{2\left(-1\right)}, \frac{-15-\sqrt{15^{2}-4\left(1\right)\left(-16034\right)}}{2\left(-1\right)}\\\\=-119.34, 134.34[/tex]
Neglecting negative value,
No of games = 134 (approx)
Ryan was paid $75 for
working 6 1 4 hours.
How much money
did he make per hour?
Answer:
46050
Step-by-step explanation:
75x614
Answer:
$8.20
Step-by-step explanation:
614 divided by 75 is 8.18666666667. Rounded to the nearest tenth is 8.2.
Two triangles are similar. The corresponding sides have a ratio of 2;5. If the small triangle has a side length of 14 centimetrs, what is the measurement of the corresponding side of the larger triangle?
Answer:
35
Step-by-step explanation:
let the corresponding side of larger triangle be x .
Then,
2/5=14/x
→2x=70
→ x=35
Therefore the answer is 35
20x^2/12x+8 simplified
Cydni is working with some algebra tiles at her desk. She makes groups of tiles like the ones below. Which expressions represent the sum of the tiles that Cydni has arranged on her desk? help
Answer:
3x+9
Step-by-step explanation:
If it’s multiple choice the other one is
x +1+1+1+x +1+1+1+ x +1+1+1
I hope this helps!
There are between 24 and 40 student in a class. The ratio of boy to girl is 4:7 how many student are in the class
please can someone help me really fast! i need youuu please it would be a massive help :))
z=2 = 27
_____ __
4 12
Answer:
hmmmmmm
i believe that the answer is _
because of _
(i helped w/ your other one lol)
Step-by-step explanation:
A circle has a radius of 5 inches. What is the circumference of the circle? Use 3.14 for pi.
Answer:
C≈31.42in
Step-by-step explanation:
Answer:
The circumference of a circle is given by
C = 2 * pi *r
C = 2 * 3.14 * 5
C =31.4 inches
You must be at least 42 inches tall to ride the bumper cars at an amusement park. Write an inequality that represents this situation. Let x represent the heights of people who are allowed to ride the bumper cars.
Answer:
x ≥ 42
Step-by-step explanation:
If you must be at least 42 inches tall to ride the bumper cars at an amusement park, this means that the minimum average height you can have is 42in i.e you can be more than 42inches tall.
The right inequality sign to represent this situations is a "greater than or equal to sign"(≥)
If x represent the heights of people who are allowed to ride the bumper cars, the required inequality expression will be x ≥ 42
what is thirty five percent
Answer:
i dont know what you need 35% as but..
Step-by-step explanation:
Decimal : 0.35
Fraction: 7/20
What is 2.5t=10
T is variable
Answer:
ddd
Step-by-step explanation:
Answer:
t=10/2.5
t=4.........
Which statements about the diagram are correct? Check all that apply.
BD = 9 in.
AB = 36 in.
DC = 6 StartRoot 3 EndRoot in.
AC = 12 StartRoot 3 EndRoot in.
BC = 18 StartRoot 3 EndRoot in.
Answer:
(C)DC = 6 StartRoot 3 EndRoot in.
(D)AC = 12 StartRoot 3 EndRoot in.
Step-by-step explanation:
I need help on this question too
If you could help I would really appreciate it, but if not that’s fine. Thank you.
Answer:
Option C is correct answer.
Step-by-step explanation:
We need to draw the graph of piece wise function
[tex]f(x)\[ \begin{cases} -2-x & if\:x\leq 1 \\ -3+2x & if\: x>1 \end{cases}\][/tex]
So, for drawing the graph, we will find values of f(x) for both the given equations.
First finding f(x) for [tex]-2-x \:\: if\:x\leq1[/tex]
The value of x must be less than or equal 1
x f(x)
1 -3
0 -2
-1 -1
-2 0
-3 1
-4 2
The graph will start from closed circle because x ≤ 1
Now, finding values of f(x) for [tex]-3+2x\: if\:x>1[/tex]
The value of x must be greater than 1
x f(x)
2 1
3 3
4 5
5 7
The graph will start from open circle because x> 1
Now, plotting these numbers we will get graph of Option C.
Option C is correct answer.
Multiple Choice: What method can be used to prove the triangles below are congruent? * Angle Side Angle (ASA) Angle Angle Side (AAS) Option 1 Option 2 Not Congruent Hypotenuse Leg (HL)
Answer:
angle side angle
Step-by-step explanation:
PLEASE ANSWER I REALLY NEED HELP
Determine which of following points lie in the solution set of the inequality y >= 2x-4 and which do not. Justify each choice.
a) (5,4)
b) (0,1)
c) (10,16)
d) (2,-1)
The points lie on the given inequality y ≥ 2x-4 are (0,1) and (10,16)
What is inequality?A relationship between two expressions or values that are not equal to each other is called inequality.
Given that an inequality y ≥ 2x-4
We need to check whether the given points lie on the solution of the inequality or not,
1) (5, 4)
Put x = 5
2×5-4 = 10-4 = 6
4 ≥ 6, this is a contradiction which means (5, 4) do not lie on the solution,
2) (0, 1)
Put x = 0
2×0 - 4 = 0-4 = -4
1 ≥ -4, satisfying the condition hence lies on the solution.
3) (10, 16)
Put x = 10
2×10-4 = 20-4 = 16
16 = 16. satisfying the condition hence lies on the solution.
4) (2, -1)
Put x = 2,
2×2-4 = 4-4 = 0
-1 ≥ 0, this is a contradiction which means (5, 4) do not lie on the solution,
Hence, points lie in the solution set of the inequality are (0,1) and (10,16)
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Helena has saved $595 to put toward snowboarding equipment and lift tickets at the hill. Each lift ticket costs $35. If she wants to have more than $420 of her savings left to spend on equipment, which inequality represents the number of lift tickets she can buy? A. X<5 B. X<4 (there is a line _ underneath the >) C. X>7 D. X>7 (there is a line _ underneath the >)
Answer:
[tex]x < 5[/tex]
Step-by-step explanation:
Given
[tex]Savings = \$595[/tex]
Rate of Lifting Ticket = $35 per ticket
Expected Amount = More than $420
Required
Determine the number of tickets she can buy
If the cost of lifting 1 ticket is 35, then the cost of x tickets is 35x.
Her spendings is then calculated as:
Total = Savings - Cost of lifting tickets
[tex]Total = 595 - 35x[/tex]
From the question, we understand that she wants to have more than 420 left.
This is represented as:
[tex]595 - 35x > 420[/tex]
Collect Like Terms
[tex]- 35x > 420 - 595[/tex]
[tex]- 35x > -175[/tex]
Divide through by -35
[tex]x < \frac{-175}{-35}[/tex]
[tex]x < 5[/tex]
Marta walked at 2.7 miles per hour for 0.93 hours. How far did she walk?
Answer:
Hello, hope you had a good day your, answer is 2.511 Miles.
Step-by-step explanation:
so first lets take 2.7/100 = .027
then take .027 times 93 which gives you 2.511.
what is y=8.5x contasnt of proportionality
the difference of a number t and 9
t-9 or 9-t
I am thinking of a 3 digit number when I divide it by 5 I am left with a remainder of 3 when I divide it by 10 I am left with a remainder of 8 it rounds to 200 to the nearest 100 it had one hundrred whatt is my number
9514 1404 393
Answer:
any of 158, 168, 178, 188, 198
Step-by-step explanation:
If the remainder is 8 when divided by 10, the least-significant digit must be 8. (That will guarantee that division by 5 will give a remainder of 3.)
In order for a number with one hundred to round to 200 when rounded to the nearest 100, the tens digit must be 5 or larger. There are 5 numbers that meet these criteria:
158, 168, 178, 188, 198
Which ordered pair named the location of Melinda's house?
A. (4, -3)
B. (2,3)
C. (-4, -3)
D. (3, 2)
PLEASE HELP
Answer:
B
Step-by-step explanation:
Which expression is NOT equivalent to 2.89 × 0.6?
(289 × 6) × (110 × 110)
(0.289 × 6) × (10 × 110)
(289 × 6) × (1100 × 110)
(289 × 60) × (1100 × 1100)
Answer:
(289x6)x(110x110)
Step-by-step explanation:
I just learned this kind of confused :(
Answer:
9.4247
Step-by-step explanation:
c= πd, c=(3.14)d , 3 is the diameter so we put it in the d spot. So c=(3.14)3 and you multiply those together to get the circumference.
HELP!! Mr. Posey is buying a baseball bat that normally cost $160. It is now on sale for 24% off. If sales tax is 10%, how much will he pay for the baseball bat?
Answer:
he will pay $133.10
Step-by-step explanation:
If a number is tripled and then subtracted from 28, the result is 3 more than twice the number. What is the number?
A)x=5
B)x=31
C)x=6
D)x=4
Answer: x = 5
Step-by-step explanation:
Based on the information, the number is x= 5.
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.
Consider that the number be x.
Given that;
Tripling the number we get = 3x.
On subtraction from 28, the equation will be: 28 - 3x.
Now forming the equation for result. Twice the number will be 2x. Result = 2x + 3.
Now equating these two equations as;
28 - 3x = 2x + 3
Rewriting the equation as;
3x + 2x = 28 - 3
Now, addition on Left Hand Side and subtraction on Right and Side
5x = 25
x = 25 ÷ 5
Performing division on Right Hand Side, we get;
x = 5
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