Answer:
X=12
Step-by-step explanation:
According to the similarity theory of triangles
Write an algebraic expression that models the situation "You had 250 minutes left on your cell phone, and you talk an hour a week." Use w to represent the number of weeks. A. 250 + 60w B. 250 minus left parenthesis 7 right parenthesis left parenthesis 60 right parenthesis w C. 250 minus 60w D. 250 + 7w
Answer:
C. 250-60w
Step-by-step explanation:
NEED HELP ASAP PLEASE AND THANK YOU!!!
Express the interval set builder notation
Answer:
{x | -1 < x ≤ 2}
Step-by-step explanation:
Interval given in the notation of (a, b) denotes,
Upper limit at 'b' and lower limit at 'a'
Sign () denotes the interval between a and b exclusive of the numbers a and b.
Interval given as [a, b] represents,
a = lower limit
b = higher limit
Notation of [] show the interval inclusive of these numbers.
Given set in the question is (-1, 2]
Here (-1) is the lower limit and 2 is the upper limit.
(] notation shows exclusive of (-1) and inclusive of 2.
Therefore, solution set in set-builder notation will be {x | -1 < x ≤ 2}
On average, Jim hearts beat 75 times per minute. Calculate the number of times his heart beats during 50 weeks
Answer:
37800000
Step-by-step explanation:
75 x 60 = 4500
4500 x 24 = 108000
108000 x 7 = 756000
756000 x 50 = 37800000
15-8x Choose ALL of the statements that are TRUE. The factors are 8 and x. The coefficient is -8. The constant is -8. The terms are 15 and -8x. The coefficient is 15. The constant is 15.
Explanation:
The coefficient is the number just to the left of the variable. So that's why -8 is the coefficient for -8x. This is the variable term while 15 is the constant (it has no variable multiplied with it). The two terms are 15 and -8x since we can write 15-8x as 15+(-8x). Terms are separated by a plus sign.
Zoua’s older sister borrowed $3,000 from a bank to buy a used car. She asked Zoua to figure out the total amount she will have to pay back at a 4.6% simple annual interest rate over a period of 48 months. How much will Zoua’s sister have to pay the bank?
Answer: $3433.34
Step-by-step explanation:
48 months is the same as 4 years so we will represent the whole situation as.
3000 * 1.046^4 = 3433.34
Answer:
D. 3,552.00
Step-by-step explanation:
-4+7-2(3+1)
Orders of Operations
Answer:
-5
Step-by-step explanation:
BODMAS
-4+7-2(3+1)
bracket first
-4+7-2(4)
multiply
-4+7-8
addition
3-8
-5
Find two consecutive even integers such that 5 times their sum is 26 more than their product. (Enter your answers as a comma-separated list.)
Answer:
The two consecutive even integers = (4, 6)
Step-by-step explanation:
We are asked in the question to find two consecutive even integers such that 5 times their sum is 26 more than their product.
Two consecutive even integers is represented as: x, x + 2
Five times their sum is 26 more than their products
5( x + x + 2) = [x × (x + 2)] + 26
5( 2x + 2) = (x² + 2x) + 26
10x + 10 = (x² + 2x ) + 26
x² + 2x + 26 - 10x - 10 = 0
x² - 8x + 16 = 0
We factorise
x² - 4x - 4x + 16 = 0
(x² - 4x) -(4x + 16) = 0
x(x - 4) -4(x - 4) = 0
(x - 4)(x - 4) = 0
(x - 4)²
Hence
x - 4 = 0
x = 4
Since, we know that two consecutive even integers = (x , x + 2)
First even integer = x = 4
Second even integer = x + 2 = 4 + 2
= 6
Therefore, the two consecutive even integers = (4, 6)
evaluate the expression
select the ratios simplest form is 8/7
Answer:
The ratio can be 16:14 whose simplest form is 8/7
Hope this helps (O^O)
Answer:
convert it into a mixed number 1 1/7
Select all numbers that are in the range.
-3
-2
-1
0
1
2
Answer: -2, 0, and 2.
Step-by-step explanation: You are given the relation R = {(-3, -2), (-3, 0), (-1, 2), (1, 2)} The domain of the relation are all possible inputs and the range of the relation are all possible outputs. So, the inputs are : -3,-1,1; and the outputs are : -2,0,2. As a result, the domain is : -3,-1,1; and the range is : -2,0,2.
the numbers that are in the range of the relation R are -2, 0, and 2.
To determine the numbers that are in the range of the given relation R, we need to identify the second components (y-values) of each ordered pair in the relation.
The range of a relation consists of all the unique y-values that are paired with x-values in the relation.
For the given relation R = {(-3, -2), (-3, 0), (-1, 2), (1, 2)}, the second components (y-values) are:
-2, 0, 2, 2.
To find the numbers that are in the range, we look for the unique values among these y-values:
-2, 0, 2.
Therefore, the numbers that are in the range of the relation R are -2, 0, and 2.
Learn more about range here
https://brainly.com/question/28135761
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Complete question is below
R = {(-3, -2), (-3, 0), (-1, 2), (1, 2)} Select all numbers that are in the range.
-3
-2
-1
0
1
2
What are the solutions to this equation 2(6X² + 5x) =12
Answer:
x = - [tex]\frac{3}{2}[/tex], x = [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Given
2(6x² + 5x) = 12 ( divide both sides by 2 )
6x² + 5x = 6 ( subtract 6 from both sides )
6x² + 5x - 6 = 0 ← in standard form
(2x + 3)(3x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = - [tex]\frac{3}{2}[/tex]
3x - 2 = 0 ⇒ 3x = 2 ⇒ x = [tex]\frac{2}{3}[/tex]
The number of birds (b) in a park increases when the number of dogs in the park (d) decreases. Write the correct equation for this scenario, and solve for the number of birds when there are 10 dogs.
Complete question :
The number of birds (b) in a park increases when the number of dogs in the park (d) decreases. Write the correct equation for this scenario, and solve for the number of birds when there are 10 dogs.
Dogs(d) - - birds(b)
40 - - - - - - 10
50 - - - - - - 8
Answer:
b = k/d ; 40
Step-by-step explanation:
From the table:
Dogs(d) - - birds(b)
40 - - - - - - 10
50 - - - - - - 8
The number of birds(b) in a park increases when the number of dogs (d) decreases.
Hence we can infer that an inverse relationship exists between them.
Number of birds(b) ∝ 1 / number of birds
b ∝ 1 / d
b = k/d
k = (b × d)
Where k is the proportionality constant
When d = 40, b = 10
Solve for k
k = (40 * 10)
k = 400
Therefore, number of birds(b), when there are 10 dogs;
b = k/d
k = 400, d = 10
b = 400 / 10
b = 40
40 birds when dogs = 10
the sum of a two digit number is 4. if the order of the digits are reversed, the result is a number that exceeds the original number by 18. find the number
Answer:
13
Step-by-step explanation:
Hello, we can write a two digit number 'ab' as 10 * a + b, where a and ba are two integer between 0 and 9.
For instance, 54= 50 + 4 = 5 *10 + 4, a = 5 b = 4, right?
The sum of a two digit number is 4.
a + b = 4
If the order of the digits are reversed, the result is a number that exceeds the original number by 18.
10b + a = 10a + b + 18
9b = 9a + 18
b = a + 2
We can replace in the first equation,
a + a + 2 = 4
2a = 2
a = 1
and then, b = 3
So the number is 13.
thank you
Which statement about this system of equations is true? A. The system has no solution. B. The system has a unique solution at (0,6). C. The system has a unique solution at (0,-4). D. The system has infinitely many solutions.
Answer:
A. The system has no solutions
Step-by-step explanation:
Step 1: Check to see if the 2 lines share 1 slope
slope of blue line = [tex]\frac{y2-y1}{x2-x1} =\frac{7-6}{3-0}=\frac{1}{3}[/tex]
slope of red line = [tex]\frac{y2-y1}{x2-x1} =\frac{-3-(-4)}{3-0}=\frac{1}{3}[/tex]
Step 2: Realize that lines with the same slope never touch
We know lines with the same slope are parallel to each other so they won't collide
Step 3: Know what the question is asking you
When they ask for solutions to the system of equations they are asking you to find out where they intersect
Step 4: Find answer
Because we know this is a parallel line they will never intersect causing this system to never have an answer or solution
Therefore the answer is A. The system has no solutions
Answer:
[tex]\huge \boxed{\mathrm{Option \ A}}[/tex]
Step-by-step explanation:
For the system of equations to have solutions, the two equations have to intersect on the graph.
The two lines on the graph never intersect, therefore there are no solutions for the system of equations.
Will had $4355.19 in his checking account. He writes checks for $1,204.90 and $890.99. How much does Will have left in his account?
Answer:
$2259.30
Step-by-step explanation:
If will started with 4355.19$ in his checking account and wrote two checks, that mean he has taken money out of his account (subtraction operation). We can represent this with the expression:
4355.19 -1204.90 - 890.99
Using this expression, we can simplify to find the remainder of money Will has in his account once the two checks clear.
4355.19 - 1204.90 - 890.99
= 4355.19 - (1204.90 + 890.99)
= 4355.19 - (2095.89)
= 2259.30
So once the two checks Will wrote clears, he will have $2259.30 left in his checking account.
Cheers.
Answer:
$2259.28
Step-by-step explanation:
Will have $4355.19
Check writes ($1204.90+$890.99)
= $2098.89
Will have left in his account ( $4355.19 - $2098.89)
= $2259.28 (ans.)
A can of paint claims that one can will
cover 400 square feet. If you painted
a square with the can of paint how
long would it be on each side?
A 200 feet
C 25 feet
B 65 feet
D 20 feet
Answer: D. 20ft
Step-by-step explanation:
Answer:
The answer would be 20 feet.
Step-by-step explanation:
This is because square feet is referring to the area. And since the area = L * W and since the sides of the square are identical. It would be 20*20=400.
Lía gana $450 por semana más un 5% de comisión sobre sus ventas. Espera ganar al menos $600 cada semana. Escribe una desigualdad para representar la descripción verbal
Answer:
[tex]\$\,450+0.05\cdot V \geq \$\,600[/tex]
Step-by-step explanation:
El salario semanal es la suma de un coste fijo y un coste variable en función de las ventas logradas. El enunciado puede traducirse en la siguiente desigualdad:
[tex]\$\,450+0.05\cdot V \geq \$\,600[/tex]
Donde [tex]V[/tex] es el monto semanal de ventas, medido en pesos.
What does four x plus five equal to?
Step-by-step explanation:
im srry if it doesnt help...
Determine the A.P whose third term is 16 and the 7th term exceeds the 5th term by 12 (2m)
Answer: [tex]a_n=6n-2[/tex]
Step-by-step explanation:
a₁, ____, 16, ____, a₅, _____, a₇
The difference of a₇ and a₅ is 2d (two steps to the next term).
It is given that 2d = 12 --> d = 6
We can subtract 6 from a₃ to find a₁
a₁ = 4, 10, 16, ____, a₅, _____, a₇
Input a₁ = 4, d = 6 into the explicit formula for an arithmetic equation.
[tex]a_n=a_1+d(n-1)\\\\a_n=4+6(n-1)\\\\a_n=4+6n-6\\\\\large\boxed{a_n=6n-2}[/tex]
the market price of an article is rs 6000 13 percentage vat is levied after allowing 15 percent discount an the article what will be the price of the article find it also find the amount of vat
Answer:
[tex] \boxed{ \bold{ \sf{Price \: of \: the \: article = \: Rs \: 6678.3}}}[/tex]
[tex] \boxed{ \bold{ \sf{Vat \: amount = \: \: Rs \: 768.3}}}[/tex]
Step-by-step explanation:
Given,
Marked Price ( MP ) = Rs 6000
Vat percent = 13 %
Discount percent = 15%
▪️Finding the discount amount
Discount amount = Discount % of MP
= 15 % of 6000
= Rs 900
▪️Finding the selling price
Selling price ( SP )= Marked price - Discount amount
= Rs 6000 - Rs 900
= Rs 5910
▪️Finding the vat amount
Vat amount = Vat % of SP
= 13 % of 5910
= Rs 768.3
▪️Finding SP with VAT
SP with vat = SP + vat amount
= Rs 5910 + Rs 768.3
= Rs 6678.3
Hope I helped!
Best regards!
Is that right? please help me brainlest go to the best answer...
Answer:
This is not a function.
Step-by-step explanation:
A function by definition will map one element of the domain to one element of the range. In this example, we would need one element of A to match one element of B for all elements of A.
Note, there are two elements in set A that map to one element in set B, while one element in set B has no mapping from any element in set A.
Cheers.
Write each number in standard notation 2.7 time 10 to the 8 please explain step by step
Answer:
270,000,000
Step-by-step explanation:
2.7 time 10 to the 8 means 2.7*10⁸ in scientific notation
To put it in standard notation
Multiply 2.7 by 10⁸, which is 100,000,000
2.7*100,000,000 = 270,000,000I need some help. If you can.
Answer:
[tex]2 \frac{59}{72}[/tex]
Step-by-step explanation:
3 3/8 = 3 + 3/8 = 24/8 + 3/8 = 27/8
then:
-5/9 + 3 3/8 = -5/9 + 27/8
= -40/72 + 243/72
= 203/72
203/72 = 144/72 + 59/72 = 2 + 59/72
= 2 59/72
the c of a shirt a less than $27.50
Answer:
See Below:
Step-by-step explanation:
C(Shirt) < 27.50
what is negative 10 multiplied by negative 9
Answer:
90 hehehhehhhe
Step-by-step explanation:
Answer:90because there are two negatives and that would make a positive believe u just multiply and ignore the negatives.:)
Step-by-step explanation:
you accidentally dropped a coin from the top of 10 stairs. what is the probability that it will land on the 4th step facing up
Answer:
Step-by-step explanation:
1/10 * 1/4 = 1/14
1/2 because there is a 50/50% chance its either heads or tails
please someone help....
Answer:
Box 1
Step-by-step explanation:
If you look carefully, you will notice that Boxes 2, 3, and 4 are all equations. We know this because they all have the "=" sign. On the other hand, Box 1 is an expression. We know this because it doesn't have an "=" sign. Therefore, Box 1 is the odd one out.
ab + c = d solve for b
Answer:
[tex]\boxed{\boxed{b=\frac{d-c}{a}; a\neq 0}}[/tex]
Step-by-step explanation:
[tex]ab+c=d\\\\ab+c-c=d-c\\\\ab=d-c\\\\\frac{ab=d-c}{a}\\\\ \boxed{b=\frac{d-c}{a}; a\neq 0}[/tex]
The angle of elevation of the sun is 24°. What is the length of the shadow cast by a person 1.82 m tall?
Answer:
4.09 m
Step-by-step explanation:
Let the length of the shadow cast by a person be x m.
[tex] \tan \: 24 \degree = \frac{height \: of \: person}{length \: of \: the \: shadow} \\ \\ 0.4452286853 = \frac{1.82}{x} \\ \\ x = \frac{1.82}{0.4452286853} \\ \\ x = 4.08778693 \: m \\ x = 4.09 \: m[/tex]