Step-by-step explanation:
x = price per video game
y = price per CD
164 = 5x + 3y
and then we know
x = y + 12
now we can use this as substitute in the first equation :
164 = 5(y + 12) + 3y = 5y + 60 + 3y = 8y + 60
104 = 8y
y = $13
x = y + 12 = 13 + 12 = $25
so, each CD costs $13.
Is 1/3 greater than, less than, or equal to 1?
Answer:
1/3 is less than 1
Step-by-step explanation:
3/3=1
1/3<1
express 10500 in terms of its prime factors .
determine the smallest positive number P such that 10500P is a perfect cube
Answer:
Below
Step-by-step explanation:
Dividing by prime numbers :
2 | 10500
2 | 5250
3 | 2625
5 | 875
5 | 175
5 | 35
7.
So 10500 = 2*2*3*5*5*5*7
To find the smallest positive cube we need to multiply by 2 ( to get 3 2's in the prime factors), another 2 3's and another 2 7's
That is P = 2*3*3*7*7 = 882.
The perfect cube is 2^3*3^3*5*3*7^3 = 9261000.
36 x 1/9, show work please !
Answer:
4 [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
39 × [tex]\frac{1}{9}[/tex]
39 times 1 is 39
39/9 is 4.33333333 Which is also, 4 [tex]\frac{1}{3}[/tex]
HelloZZZZ!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
HI!!!
Step-by-step explanation:
what is half of 56 ft or 56 mm
Do you want the half of 56 ft or 56 mm? In both the case, you'll get the same value...you just need to change the unit.
Half of 56 ft
= ½ × 56
= 56/2
= 28 ft
Half of 56 mm
= ½ × 56
= 56/2
= 28 mm
_______
Hope it helps ⚜:))
What is an equation of the line through (0,3) with slope 2/5? 1. -5x+2y=15. 2. -5x-2y=-15 3. 2x-5y=15 4. -2x+5y=15
Answer:
The answer is 3. 2x - 5y = 15
Step-by-step explanation:
Find the value of p for which x³+4x²-px+8 is exactly divisible by (x-2) is_____.
Given Polynomial P(x) = x^3+4x^2-px+8
Given that P(x) is exactly divisible by (x-2) then by
factor theorem it is a factor and P(2) = 0
⇛ (2)^3+4(2)^2-p(2)+8 = 0
⇛8+4(4)-2p+8 = 0
⇛ 8+16-2p+8 = 0
⇛ 32-2p = 0
⇛32 = 2p
⇛ 2p = 32
⇛ p = 32/2
⇛ p = 16
Answer:- The value of p is 16.
Read more:
Similar Questions
Find the value of p for which the polynomial 3x^3 -x^2 + px +1 is exactly divisible by x-1, hence factorise the polynomial...
https://brainly.com/question/12852511?referrer
Answer:
16.
Step-by-step explanation:
By the Factor Theorem if a polynomial is divisible by (x - a) then f(a) = 0 so here we have:
f(2) = 2^3 + 4(2)^2 - 2p + 8 = 0
-2p + 32 = 0
p = 16.
The miller’s are comparing babysitting services for their two children. the babysitters block charges a rate of $15 an hour per child plus an initial fee of $25 per household. super sitters charges a flat rate of $20 an hour per child. for …. hours of service both babysitting services would cost the same
Answer:
2.5 hours
Step-by-step explanation:
BB = 25 + (15x)2
SS = (20x)2
25 + 30x = 40x
10x = 25
x = 2.5
Answer:
5 hours
Step-by-step explanation:
15 times 5 is 75 plus 25 is 100
20 times 5 is also 100
HELP I HAVE A TEST TMR MORNING!!!!!!
A boat tied up at a dock bobs up and down with passing waves. The vertical distance between its high point and its low point is 1.8m and the cycle is repeated every 4 s.
Here is the equation that models this: [tex]f(x)=0.9sin(\frac{\pi }{2} x)[/tex]
^The y-coordinates are in m and the x coordinates is the time in seconds
b) Use the model to determine when, during each cycle, the boat is 0.5m above the mean positition.
BRAINLIEST!!!!
The time the boat is 0.5 m above the mean position during each cycle is (4n + 0.375) s
Since y = f(x) = 0.9sin(πx/2)
We want to determine the time, x at which the boat is 0.5 m above its mean position. This is the value of y at y = 0.5 m
So, y = f(x) = 0.9sin(πx/2)
0.5 = 0.9sin(πx/2)
Dividing through by 0.9, we have
0.5/0.9 = sin(πx/2)
5/9 = sin(πx/2)
Taking inverse sine of both sides, we have
sin⁻¹(5/9) = πx/2
sin⁻¹(0.5556) = πx/2
0.589 rad = πx/2
x = 2 × 0.589/π
x = 1.178/π
x = 0.375 s
Since the boat repeats its cycle every 4 seconds, the time the boat is 0.5 m above the mean position after n cycles is t = (4n + 0.375) swhere n is a positive integer. That is n = 0, 1, 2, 3...
So, the time the boat is 0.5 m above the mean position during each cycle is (4n + 0.375) s
Learn more about sine function here:
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Can you give me the answer?
Answer:
39
Step-by-step explanation:
The inside of a triangle adds up to 180:
90 because that square box is 90 degrees
90+50=141
180-141=39
Draw and label a figure to represent the congruent triangles. Then find x and y.
please draw and label!!! i will give brainliest.
Answer:
hope it helps
Step-by-step explanation:
[tex]\\ \sf\longmapsto y+4=2y-15[/tex]
[tex]\\ \sf\longmapsto 2y-y=19[/tex]
[tex]\\ \sf\longmapsto y=19[/tex]
m<K=23°m<N=23°[tex]\\ \sf\longmapsto 2x-3=5[/tex]
[tex]\\ \sf\longmapsto 2x=8[/tex]
[tex]\\ \sf\longmapsto x=4[/tex]
PM=5Diagram attached
Paul wanted to bring his family to the Children’s Museum. There was an exhibit with carnival rides. The tickets for each ride were $1.35 per ticket. Paul purchased 30 tickets for the rides and spent a total of $46.85 at the museum. Paul spent his money only on ride tickets and admission. The price of the museum admission is the same for everyone. (a) Define your variables. (b) Write a linear equation that can be used to determine the cost for anyone who only pays for tickets and museum admission. Use y to represent the total cost and x to represent the number of ride tickets. (c) Explain your answer to Part 1b.
Do NOT say you don't know, include files, or anything else. I need real answers not people faking answers to get points.
We want to define and solve a linear equation to model the given case.
The answers are:
a) x = number of tickets, y = total cost.
b) y = $1.35*x + $6.35
We know that:
The tickets for each ride were $1.35 per ticket.
Paul purchased 30 tickets
He spent a total of $46.85 (on tickets and admission)
The cost for the 30 tickets is:
30*$1.35 = $40.50
a) Now we can define two variables:
y = total cost
x = number of tickets
b) the linear equation would be:
y = $1.35*x + P
Where P is the price of admission.
And we know that the total cost for 30 tickets is $46.85, then we have:
$46.85 = $40.50 + P
$46.85 - $40.50 = P = $6.35
So the admission price is $6.35
This means that the linear equation is:
y = $1.35*x + $6.35
c) Brief explanation, we have the variable y that represents the total cost, it is equal to the admission price (which we found) plus $1.35 times the number of tickets bought (x).
If you want to learn more, you can read:
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Find an irrational number between 6 and 28
Answer:
Step-by-step explanation:
All the whole numbers or integers between 6 and 28 are rational numbers because they can be expressed as improper fractions as for example 7 = 7/1 but the square root of 7 is an irrational number because it can't be expressed as a fraction.
Answer:
√101 (square root of 101)
Step-by-step explanation:
Irrational numbers are numbers that can't be written as fractions.
The square root of 101 is irrational because it is not a perfect square which means that it has an infinite amount of numbers after the decimal point. Because of this the square root of 101 cannot be expressed as a fraction.
Feliciano is using a pretest/posttest design to conduct an experiment on improving children’s handwriting, employing two different techniques of improving handwriting and a control condition. In the results, the two groups who receive the treatment don’t show any difference from each other. Feliciano believes that there is a difference but that his 3-point assessment scale of handwriting cannot detect it. Identify the true and false statements about Feliciano’s study. True Statement(s) Drag appropriate answer(s) here Feliciano is most concerned about using an insensitive measure. Press Space to open To address his concern, Feliciano should use a scale with more levels for his dependent variable. Press Space to open To address his concern, Feliciano should use a manipulation check for his independent variable. Press Space to open To address his concern, Feliciano should increase his sample size. Press Space to open Feliciano is most concerned about measurement error.
The test result can be made more responsive by adjusting the parameters
of the test.
Feliciano should use a scale with more levels for his dependent variableFeliciano should use a manipulation check for his independent variable Feliciano should increase the sample size.Reasons:
The type of experiment being performed by Feliciano is children
handwriting improvement based on two techniques and a control condition.
The number of groups that receive the treatment = Two
The assessment method used = 3-point assessment scale
The true statements are;
Feliciano should use a scale with more levels for his dependent variableIncreasing the number of levels on the scale, increases the variability of the response such that more responses can be obtained from the participants than when using a 3-point scale, based on the closeness between the the variables being assed.
Feliciano should use a manipulation check for his independent variableA manipulation check can be used to determine the effectiveness of the treatment applied , such as the inclusion of question that finds out about the participants association to the treatment.
Feliciano should increase the sample sizeIncreasing the sample size increases the z-value, and makes it more likely to reject the null hypothesis, that there is no difference between the two groups.
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Which statement is true about the polynomial 3x2y2 − 5xy2 − 3x2y2 + 2x2 after it has been fully simplified?
Answer: Varies
Step-by-step explanation:
There would still be some Xs and Ys.
help me please!! and thank you
Answer:
y = -(5/6)x + 0.917
Step-by-step explanation:
We can calculate a slope with the two given points:
(-2.5,3) and (3.5,-2)
Rise (change in y) = -2 - (3) = -5
Run (change in x) = 3.5 - (-2.5) = 6.0
Slope = Rise/Run = -5/6
The line has the following form:
y = -(5/6)x + b
We can find b, the y-intercept, by using one of the two points in the equation and then solve for b. I'll choose (-2.5,3):
y = -(5/6)x + b
3 = -(5/6)*(-2.5) + b
3 = 2.083 + b
b = 0.917
y = -(5/6)x + 0.917
Which variable expression represents the following word phrase?
four times the sum of five and a number
Answer:
c
Step-by-step explanation:
c represents adding 5 and n together, and multiplying it by four.
Four times the sum of five and a number equivalent expression is 4(5 + n) which is the correct answer would be an option (C).
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.
The operator that performs arithmetic operations is called arithmetic operator.
Operators let do basic mathematical calculations.
+ Addition operation: Adds values on either side of the operator.
For example 4 + 2 = 6
Let the number be n
To determine the four times the sum of five and a number
The sum of five and a number as
⇒ 5 + n
So, four times the sum of five and a number as
⇒ 4*(5 + n)
Hence, four times the sum of five and a number equivalent expression is 4(5 + n).
Learn more about the expressions here :
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#SPJ2
Consider the equation:
X^2=6x+1
1) Rewrite the equation by completing the square.
Your equation should look like (2 - 0) = bor (2-c)? = d
2) What are the solutions to the equation?
Choose 1 answer
Answer:
(2-c)=d
Step-by-step explanation:
completing the square
hope it can help you lovelots
Please help asap!!!
Will give brainliest
Answer:
33/2 or
Step-by-step explanation:
2x−7
4
=
x+3
3
(2x−7)*(3)=(x+3)*(4)
6x−21=4x+12
Step 2: Subtract 4x from both sides.
6x−21−4x=4x+12−4x
2x−21=12
Step 3: Add 21 to both sides.
2x−21+21=12+21
2x=33
Step 4: Divide both sides by 2.
2x/2
=
33/2
x=
33/2
Answer:
x = 33/2 = 16 1/2
Step-by-step explanation:
You can clear fractions first, or you can work with the fractions as is.
(2x -7)/4 = (x +3)/3
2/4x -7/4 = 1/3x +1 . . . . . eliminate parentheses
(1/2 -1/3)x = 1 +7/4 . . . . . add 7/4 -1/3x
1/6x = 11/4 . . . . . . . . . . . simplify
x = 66/4 = 33/2 . . . . . multiply by 6, reduce the fraction
The price of a stock was $24.56 per share. An investor decided to spend $5,000 to buy shares of the stock. To the nearest whole number, what is the maximum number of shares of stock that the investor can buy
Answer:
203 i just did it
Step-by-step explanation:
Answer:
the answer is 203
Step-by-step explanation:
Just got it right on edge 22
What is the cube root of 8x27?
Answer:
6
Step-by-step explanation:
this is so simple brother
Answer:
The cube root of 8x27 is 54
Step-by-step explanation:
Observe the following pattern (1×2)+(2×3)=2×3×43, (1×2)+(2×3)+(3×4)=3×4×53, (1×2)+(2×3)+(3×4)+(4×5)=4×5×63 and find the value of (1×2)+(2×3)+(3×4)+(4×5)+(5×6)
Write three different multiplication problems for which the product is 9x2 + 18x.
18 ( 1 + X )
sorry if my answer wrong
Lesson 6 Practice Problems
1. A pink paint mixture uses 4 cups of white paint for every 3 cups of red paint.
The table shows different quantities of red
and white paint for the same shade of pink.
Complete the table.
white paint
(cups)
red paint
(cups)
4
3
1
1
4
5
Answer:
WHITE PAINT PINK PAINT
(CUPS) (CUPS)
4 3
4/3 1
1 3/4
16/3 4
5 15/4
-Lexi
Given 2x² = -8, x is
A) -2
B) 2
C) 2i or -2i
B) 4i or -4i
NO LINKS!!!
Answer:
2x^2=-8
2x^2/2=-8/2
x^2=-4
x=2
Step-by-step explanation:
HOPE THAT THIS IS HELPFUL.
HAVE AN AWESOME DAY.
. Check the given measurements whether it could make a triangle
(a) 7 cm, 2 cm and 5 cm
(b) 10 cm, 12 cm and 14 cm.
Answer:
They do not make triangles.
Step-by-step explanation:
You automatically know that c is going to be the biggest number of each triangle since it is the largest side. So you would use both of these formulas:
a² + b² = c²
[tex]2^{2}[/tex] + [tex]5^{2}[/tex] = [tex]7^{2}[/tex] which is false
10² + 12² = 14² is false as well
Hope this helps!!
A donut has a diameter of 15cm. Whats is the comerference?
The marked price of a television is Rs 18,500. A dealer allows two successive discounts of 20% and 5%. For how much is the television available to buy
Answer:
20%Discount price is 14800
Then 5%Discount price of the new price is 14060
14060 is the answer
Which table represents a direct variation between x and y
Answer:
Y
Step-by-step explanation:
Because the direct variables are plus twenty five
find the measure of the indicated angle that makes lines u and v parallel
Answer:
55 degrees
Step-by-step explanation:
if u and v are parallel and cut by the transversal in the middle the two angles would be congruent or equal to each other , therefore the angle in question is also 55
Identify the like terms of 3x, choose all that apply:
Answer:
-2x, x, 5x
Step-by-step explanation:
Answer:
5x-2xxStep-by-step explanation:
Like terms a self-explanatory. These are values that are alike. There has to be something they share in common. And those are: same variables, integers, etc. Am integer that is alike in terms has to have the same variable. For instance, 3x and 3y are not alike because they do not share the same variable.
3xy
It may have an "x" with it, but it is not alike because it also contains another variable, "y", which is not the same as "3x".
3
This may confuse people. Just because it is "3" and we have "3x" doesn't mean they are alike. There is no "x" in 3. And three is an integer.
7y
Seven has a y, which is different from an x.