Keith has $500 in a saving account at the beginning of the summer. He wants to have at
least $200 in the account. He withdraws $25 from his account each week for food,
clothes, and movie tickets. ("Withdraws" means he takes money out of his account.)
How many weeks can he withdraw $25 per week and still have at least $200 in the
account?
There’s a second question to this problem:
How many weeks can Keith withdraw $25 per week and still have at least $200 in the account? Write your answer in interval notation.
Answer:
12 weeks
Step-by-step explanation:
25x = 300
so 25 times what equals 300, or the amount he can spend before going under 200 in his account.
25 (times) 12 = 300
Answer:
12 weeks
Step-by-step explanation:
x=# of weeks
500-25x[tex]\geq[/tex]200
-500 -500
____________
-25x [tex]\geq[/tex] -300
-25 -25
x[tex]\leq[/tex] 12 weeks
use elimination to solve and please show ur work.
4x + 3y = 6
2x - y = -2
Answer:
Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.
Point Form:
(0,2)
Equation Form:x=0, y=2
Answer:
(0,2)
Step-by-step explanation:
Multiply each equation by the value that makes the coefficients of y opposite.
3*2x-y=3*-2
Simplify
6x-3y=-6
Add the two equations
10x = 0
Divide both by 10 and simplify
x=0
Substitute x into the equations.
4*0+3y=6
3y=6
2
y=2
Which of the following graphs could represent the volume of water in a cylinder as a
function of its height? Explain your reasoning.
Answer:
It is A
Step-by-step explanation:
It starts from origin
The first graph represent the volume of water in a cylinder as a
function of its height.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
The first graph with a straight line passing through the origin could represent the volume of water in a cylinder as a function of its height.
This is because the formula for the volume of a cylinder is V = πr²h, where r is the radius and h is the height.
If we keep the radius constant and vary the height, we can see that the volume of the cylinder increases linearly with the height. In other words, the volume is directly proportional to the height.
Since the line passes through the origin, this indicates that when the height is zero, the volume is also zero.
This is consistent with the fact that a cylinder with zero height has zero volume.
Hence, the first graph represent the volume of water in a cylinder as a
function of its height.
To learn more on Three dimensional figure click:
https://brainly.com/question/2400003
#SPJ2
Find the product. (6x2 + 8)(3x2 – 5x + 7)
o 4234 – 70x3 + 98x
18x4 – 30x3 +66x2
40x + 56
O 18x4 – 30x3 + 42.2 + 8
O 18x4 + 36x2
402 + 56
Answer:
18x^4 – 30x³ +66x²- 40x + 56
Step-by-step explanation:
can someone please help
Answer:
C
Step-by-step explanation:
We can use the pythagorean theorem (A^2 + B^2 = C^2) To solve this question.
For answer A, we add 6^2 (36) and 8^2(64) to get 10^2 (100). This is a right triangle.
For question B, we add [tex]\sqrt{3}[/tex] ^2 (3) and [tex]\sqrt{8}[/tex]^2 (8) to get [tex]\sqrt{11}[/tex]. This is a right triangle.
For question C, we add 3^2 and 5^2 to get [tex]\sqrt{34}[/tex]. This is not a right triangle.
—330 + 450 need help !!!!!!!
Answer:
120
Step-by-step explanation:
use a calculator (if you have one )
Help me please thank you :)
I WILL GIVE BRAINLIEST!!!
Complete the statement.
Greater than, equal to, or less than?
Answer:
x is smaller than 10in so x<5
Step-by-step explanation:
in the scale drawing what will the length of the West side be?
How please help me and explain bc I have no clue how
Which of these numbers is in standard form?
6.5 x 5-7
0.9 x 10-7
1 x 10-7
10 x 10-7
THIS IS ABOUT AN ANIME SUPER LOVERS AND IF YOU HAVENT WATCHED IT YOU DONT NEED TO SEE THIS -WARNING-
at the very end of the series why does natsuo ( the cousin of aki, shima, and haru) kiss haru. i didnt understand. PLEZ ANSWER MEEE
Answer:
because they wanted to i guess
Step-by-step explanation:
Task 4:
A carnival attraction tests your strength by how far in the air
you can drive a weight with a hammer. If the weight
reaches 15 feet you win a prize! The equation
h = -1612 + 317 + 2 gives the height h of the weight t seconds
after you hit it.
A: How long is the weight moving?
B: What was the weight's maximum height?
C: Did you win a prize? How do you know?
B i think i am sorry if it is not right but i am pretty sure i am right tho
A number divided by —4 is —13. pls help<3
Answer:
[tex]\frac{n}{-4} =-13: n = 52[/tex]
Step-by-step explanation:
[tex]\frac{n}{-4} =-13: n = 52[/tex]
An easy way to find out is by plugging the variable with a constant such as 2
Solve
7 + X = 2x-5
3
Answer:
x = 60
Step-by-step explanation:
subtract 7 from both sides:
7 + x - 7 = 2x - 53 - 7
Simplify:
x = 2x - 60
Subtract 2x from both sides:
x - 2x = 2x - 60 - 2x
Simplify:
-x = -60
Divide by -1=
-x/-1 = -60/1
X = 60HELP PLEASE ASAP!!! HELP PLEASE HELP WITH THIS!
if there is just supposed to be a one-word answer, I think it's
trueHELP ME PLEASE !!!!!!!!
Answer:
AB = 14
DE =7
Step-by-step explanation:
Remark
AB
Opposite sides of a parallelogram are equal.
AB = CD
AB = 14
DE
According to the diagram AE = 19
AD = 26 which is the same size as BC
DE = 26 - 19 = 7
DE = 7
What is included in a total monthly mortgage payment?
O A. Principal, investment, taxes, and insurance
B. Payment, interest, taxes, and insurance
O C. Principal, interest, taxes, and insurance
D. Principal, interest, title, and insurance
Total monthly mortgage payment includes option C. Principal, interest, taxes, and insurance.
What is Mortgage Payment?Mortgage is defined as a type of loan which are typically used to finance or maintain a property which can be land or other kinds of rentals.
They are referred to as secured loans.
Total monthly mortgage payment consist of mainly four components.
They are :
Principal InterestTaxes InsuranceThe main components are principal and interest.
Principal amount is the amount that you borrowed for your purpose.
Interest payment is the amount that the lender charges which varies.
Hence the option is C.
To learn more about Mortgage Payments, click :
https://brainly.com/question/24174269
#SPJ7
the volume of a recta
If you order 3 pizzas, you will get 30 slices of pizza. How many slices are there in one pizza?
Answer:
There are 10 slices in one pizza.
Step-by-step explanation:
30 ÷ 3 = 10
Answer:
10 slices
Step-by-step explanation:
30÷3=10 meaning every pizza will have 10 slices and 2 pizzas will have 20.
Multiply the radical expression:
6 3.2 4
Answer:
answer is 24_/3.
......................
suppose that 17% of people have dogs. If two prople are randomly chosen, what is the probability that they both have a dog?
Answer:
8.5%
Step-by-step explanation:
.17/2 = 0.085 or 8.5%
Answer:
I think it may be 8.5%, I could be wrong.
Step-by-step explanation:
2 people out of 100% are chosen and 17% have dogs
How many factors does (2x + 4)(x - 3)(7x - 5) have?
Answer:
3
Step-by-step explanation:
(2x + 4)(x - 3)(7x - 5)
The factors are the terms inside the parentheses
2x+4 is a factor
x-3 is a factor
7x-5 is a factor
Which expression is equivalent to 2x - 1/3(12x - 30)?
A. 2(x - 5)
B. -2(x + 5)
C. -2(x - 5)
D. 2(x + 5)
Answer:
C
Step-by-step explanation:
Calculator
16. Physical Science A ball is dropped from a
height of 500 meters. The table shows the height
of each bounce, and the heights form a geometric
sequence. How high does the ball bounce on the
8th bounce? Round your answer to the nearest
tenth of a meter.
Ball will bounce 83.9 meters high on the 8th bounce.
Geometric sequence:
nth term of a geometric sequence is given by the expression,[tex]T_n=ar^{n-1}[/tex]
Here, [tex]a=[/tex] First term
[tex]r=[/tex] Common ratio in each term
[tex]n=[/tex] Number of term
From the table attached,
First term [tex]a=400[/tex] meters Common ratio [tex]r=\frac{\text{Second term}}{\text{First term}}[/tex][tex]=\frac{320}{400}[/tex]
[tex]=0.8[/tex]
8th term of the sequence will be,
[tex]T_8=400(0.8)^{8-1}[/tex]
[tex]T_8=83.886[/tex]
[tex]\approx 83.9[/tex] meters
Find out more information about geometric sequence here;
https://brainly.com/question/11266123?referrer=searchResults
x/7 > -2
What is the answer and it says your answer must be simplified
Answer:
x>-14
Step-by-step explanation:
x/7>-2
x>-14
Derrick needs to sell a minimum of 100 orders each month to make it into the sales winners circle. He has already sold 45 orders this month. He still needs to sell s more orders. Which inequality can be used to find the possible values for s? s−45>100
s−45<100 s+45≤100 s+45≥100
Answer:
s+45≥100
Step-by-step explanation:
"A minimum of" means either the same amount or more. So, the total amount he sells (s + 45) needs to be greater than or equal to 100.
Find the circumference of the circle shown: 10 ft
Answer:
31.42
Step-by-step explanation:
equation for solving is C= π d
circumference is π x diameter
so therefore the new equation is π x 10
3.14 (π) x 10 (d) = 31.42
Please help!! I will make you brainlest.
Answer:
Step-by-step explanation:
These problems are based on triangle ratios. You cannot use the Pythagorean theorem to solve them.
The first triangle is a 45 45 90 degree triangle (I'm talking about the angles), and so, the ratio is 1:1:[tex]\sqrt{2\\}[/tex], so I have to divide the hypotenuse by [tex]\sqrt{2\\}[/tex] to get the legs. The hypotenuse is 15[tex]\sqrt{6}[/tex], so that divided by [tex]\sqrt{2\\}[/tex] is 15[tex]\sqrt{3\\}[/tex]. X is the same length as y because of the triangle ratio, so both x and y for the first triangle are 15[tex]\sqrt{3\\}[/tex].
The second triangle is a 30 60 90 degree triangle, so the ratio is x:x[tex]\sqrt{3}[/tex]:2x. The short leg is 7[tex]\sqrt{3}[/tex], so 7[tex]\sqrt{3}[/tex] * 2 is the hypotenuse, which is 14[tex]\sqrt{3}[/tex]. The long leg is 7[tex]\sqrt{3}[/tex] * [tex]\sqrt{3}[/tex], which is 21. So, x for the second triangle is 14[tex]\sqrt{3}[/tex], and y for the second triangle is 21.
Answer:
Question 9: x = [tex]15\sqrt{3}[/tex], Question 10: y = [tex]15\sqrt{3}[/tex], Question 11: x = [tex]14\sqrt{3}[/tex], Question 12: y = 21
Step-by-step explanation:
Question 9-10: Right triangles with 45°, 45°, 90° have a special rule, the legs of the triangle are equal, so x = y. Now you can form the statement [tex]2x^2 = 1350[/tex], and because x = [tex]15\sqrt{3}[/tex], so does y.
Question 11-12: Right triangles with 30°, 60°, 90° also have a special rule, the side corresponding to 30° is half the length of the hypotenuse and the side corresponding to 60° is [tex]\sqrt{3}[/tex] times as great as the 60°. x is 2 times as big as [tex]7\sqrt{3}[/tex], so its length is [tex]14\sqrt{3}[/tex]. Y is [tex]\sqrt{3}[/tex] as great as [tex]7\sqrt{3}[/tex], so its length is 21.
Consider the system of linear equations −4x+2y=4 and 4x−y=−6. Which is different?
Answer:
one is plus + and the other is mines -
Step-by-step explanation: