Answer:
B. Jenny paid $322 for 23 T-shirts, which is a rate of $14 per T-shirt.
Step-by-step explanation:
To find the rate per shirt, divide the cost by the number of shirts:
322/14
= 14
So, she paid $322 at a rate of $14 per shirt.
Therefore, B is correct.
19x + 8 - 7x = 48 - 8x
Answer:
x = 2
Step-by-step explanation:
19x - 7x + 8x = 48 - 8
20x = 40
20x/20 = 40/20
x =2
Answer:
x=2
Step-by-step explanation:
[tex]19x + 8 - 7x = 48 - 8x \\ ⟹ 12x + 8 = 48 - 8x \\ ⟹ 12x + 8x = 48 - 8 \\ ⟹20x = 40 \\ ⟹ x = \frac{40}{20} \\ ⟹x = 2[/tex]
Determine the standard form of the equation of the line that passes through (-2,0) and (-8,5)
Answer: 5/6x + 1y = -5/3 or 5x + 6y = -10
Step-by-step explanation:
First you need to write an equation in slope intercept form and convert it to Standard form. To write an equation in slope intercept form using the coordinates we need to find the slope and the y-intercept.
The slope is the change in y over the change in x.
0-5 = -5
-2-(-8) = 6
Slope is -5/6
Now find the y intercept using the formula y =mx + b where m is the slope and b is the y-intercept.
5 = -5/6(-8) + b
5 = 40/6 +b
-40/6 -40/6
b= -5/3
So now the equation is y= -5/6x - 5/3
So now write it in standard form as ax+by = c where x is constant.
y = -5/6x -5/3
+5/6x
5/6x + 1y = -5/3 now you can multiply it by 6 to get rid of the fractions.
5/6x(6) + y(6) = -5/3(6)
5x + 6y = -10
solve for x -18+26=-2(x+2)
Answer:
x = -6
Step-by-step explanation:
-18 + 26 = -2(x + 2)
8 = -2x - 4
12 = -2x
x = -6
The credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes). The remaining credit after minutes of calls is , and the remaining credit after minutes of calls is . What is the remaining credit after minutes of calls?
Answer and Step-by-step explanation: Suppose remaining credit is y and time in minutes is x. To determine a value of y corresponding to a value of x, first find the equation for the function.
Since the function is linear, the equation is of the form: y = mx + b. To determine it:
1) Find slope, or inclination, of the line:
slope (m) = [tex]\frac{y_{b}-y_{a}}{x_{b}-x_{a}}[/tex]
where x's and y's are points of the function.
2) Determine the y-intercept, or b: Use a point of the function, replace them at the equation, y = mx + b, and find b.
3) The equation will be: y = mx + b
With the equation, replace x for the minutes the question is asking and calculate to find the remaining credit.
Th result will be a pair (x,y)
A swimming pool is a rectangular prism. The pool is 36 feet long and 20 feet wide. What is the total amount of water, in cubic feet, needed to fill the pool to a depth of 4feet?
Answer:
[tex]2880\ ft^{3}[/tex]
Step-by-step explanation:
The computation of the total amount of water needed could be determined by using the volume formula which is shown below:
[tex]Volume = L \times W \times D[/tex]
where
L = length,
W = width,
and D = depth.
Now putting the values to the above formula
[tex]Volume = (36\ ft) \times (20\ ft) \times (4\ ft) \\\\= 2880\ ft^{3}[/tex]
Therefore, the total amount of water needed is [tex]2880\ ft^{3}[/tex]
We simply applied the above formula
Answer:
280ft3
Step-by-step explanation:
In the given diagram, if AP = 15 cm, AQ = 24 cm and PB + QC = 26 cm, find QC – PB, given PQ || BC.
Answer:
QC - PB = 6
Step-by-step explanation:
Given PQ is parallel to BC then it divides the sides proportionally, that is
[tex]\frac{AP}{AQ}[/tex] = [tex]\frac{PB}{QC}[/tex] = [tex]\frac{15}{24}[/tex] = [tex]\frac{5}{8}[/tex] , then
[tex]\frac{PB}{QC}[/tex] = [tex]\frac{5}{8}[/tex] ( cross- multiply )
8PB = 5QC → *
Given PB + QC = 26 , then
PB = 26 - QC
Substitute into *
8(26 - QC) = 5QC ← distribute left side
208 - 8QC = 5QC ( subtract 5QC from both sides )
208 - 13QC = 0 ( subtract 208 from both sides )
- 13QC = - 208 ( divide both sides by - 13 )
QC = 16
Thus PB = 26 - QC = 26 - 16 = 10
QC - PB = 16 - 10 = 6
A product has a production cost function C(x)x and a revenue function R(x)x. Find and analyze the break-even quantity, then find the profit function.
A product has a production cost function C(x) =165x + 3630 and a revenue function R(x)= 220x. Find and analyze the break-even quantity, then find the profit function.
Answer:
the break-even quantity = 66
the profit function = 55x - 3630
Step-by-step explanation:
Given that:
C(x) = 165x + 3630
R(x) = 220 x
The Break-even quantity is C(x) = R(x)
∴
165x + 3630 = 220x
collecting the like terms, we have:
3630 = 220 x - 165 x
3630 = 55 x
[tex]x = \dfrac{3630}{55}[/tex]
x = 66
Thus, the break-even quantity = 66
The profit function = R(x) - C(x)
The profit function = 220x - 3630 - 165x
By rearrangement
The profit function = 220x - 165x - 3630
The profit function = 55x - 3630
what is the pattern between 5,3,9,7,13
Answer it takes away 2 than adds 3 and takes away 2 than instead of adding 3 on the fourth number it adds 6 so maybe it doubles the number it adds every time or it adds three onto the last number it added with and continues like that.
Step-by-step explanation:
Riley is saving up to buy a new television. She needs a total of $1,372.35. Riley has saved $200.55 already and earns $78.12 per week at her job. How many weeks does Riley need to work to save enough money to buy the new television? A. 14 B. 16 C. 15
Answer: C. 15
Step-by-step explanation: You take the total amount that she needs: $1,372.35 and you subtract $200.55. Then you are left with $1171.1. This is the amount that she needs still. Then you take $78.12 and multiply it by 15. You get $1171.8. Then when you add $200.55 and $1171.8 you get $1171.1.
if alpha and beta are zeroes of the quadratic polynomial f(x) = x2-x-2 then find a polynomial whose zeroes are 2alpha + 1 and 2beta + 1
Answer:
Step-by-step explanation:
Hello, as alpha and beta are zeroes of
[tex]x^2-x-2[/tex]
it means that their sum is alpha+beta=1 and their product alpha*beta=-2.
The polynomial whose zeroes are 2 alpha + 1 and 2 beta + 1, means that the sum of its zeroes is 2(alpha+beta)+2=2+2=4
and the product is (2alpha+1)(2beta+1)=4 alpha*beta + 2(alpha+beta) + 1 = 4 * (-2) + 2*(1) +1 = -8 + 2 + 1 = -5. so one of these polynomials is
[tex]\Large \boxed{\sf \bf \ \ x^2-4x-5 \ \ }[/tex]
Thank you.
q divided by 7 equals 6 have a nice day!
Answer:
q = 42
Step-by-step explanation:
[tex]\frac{q}{7}=6\\\\\frac{q}{7}*7=6*7\\\\ \boxed{q=42}[/tex]
Hope this helps.
Susan plans to rent a bike in New Orleans to tour the city. The cost of the rental is $20 per day. The cost of a helmet is for as long as Susan needs the bike . Susan has 250 to rent a bike for 15 days. Does Susan have enough moneyExplain .
Susan does not have enough money.
20 times 15 will cost $300. Susan only have $250.
I'm not sure if this is correct.
Which equation is correctly rewritten to solve for x?
x/r - s = t A. x = t+s/r B. x= rt + s C. x= r(t + s) D. x= r(t - s)
Answer:
x=r(t+s)
Step-by-step explanation:
x/r - s = t
x/r=t+s
x=r(t+s)
Answer:
x=r(t+s)
Step-by-step explanation:
hope this helps
A bag of chips contains 145 calories per serving. Each bag of chips contain 3 servings. How many calories are in 2 bags of chips?
Answer:
870
Step-by-step explanation:
you take the calories per serving, 145, and multiply it by the number of servings in the bag, 3. this gives you 435, the number of calories in a bag. then you take the number of calories in a bag times the number of bags. you get 870
Answer:
870
Step-by-step explanation:
I NEED HELP PLEASE !!!
Answer:
-3
Step-by-step explanation:
Solve each piece then use order of operations to solve.
[tex]4^{\frac{1}{2} }[/tex] = 2
[tex]\sqrt[4]{16}[/tex] = 2 so [tex]\frac{2}{\sqrt[4]{16} }[/tex] = [tex]\frac{2}{2}[/tex] = 1
Use the order of operations to finish solving. Multiplication and division come before addition and subtraction.
2 * 1 - 10 ÷ 2
2 - 5 = -3
-3
there are (4 to the 9th power) to the 5th power times 4 to the 0 power books at the library. what is the total number of books?
Answer:
1310720
Step-by-step explanation:
you multiply (4^9) and get 262144 then multiply (262144)^5 and get 1310720*4^0 and multiply 4*0 and get 0 so 1310720 if that makes sense
The sum of a number and 4 equals the same number times 3. What is the Number?
Answer:
2
Step-by-step explanation:
let the number be n, then sum of number and 4 is n + 4 and 3 times the number is 3n, thus
n + 4 = 3n ( subtract n from both sides )
4 = 2n ( divide both sides by 2 )
2 = n
That is the number is 2
Answer:
2
Step-by-step explanation:
1.form an equation
call the number x
x+4=3x
2.solve using inverse operations
x=2
what are equations in algebra?
Can someone please help?
Answer:
Multiply by 3, 162
Step-by-step explanation:
2 x 3 is 6.
6 x 3 is 18.
18 x 3 is 54.
54 x 3 is.... you get the deal.
54 x 3 is 162.
N this conversation the two people speak a total of 42 words in 21 seconds. When we have a comparison of two numbers with different units (like words and seconds), that is called a _______ .
Answer: I believe it would be called a rate.
how many phone numbers are possible in the (404) area code if the seven digit number have the form FGH-XXXX where F is restricted to 3-9 and X,G and H can be any digit 0-9?
Answer:
900 phone numbers possible.
Step-by-step explanation:
Given the seven digit numbers are of the form:
FGH-XXXX
Possibilities for F = 3 - 9 and X i.e. 9 possibilities
Possibilities for G = 0 - 9 i.e. 10 digits
Possibilities for H = 0 - 9 i.e. 10 digits
To find:
How many numbers are possible ?
Solution:
This problem is nothing but a problem in which we have to find out how many numbers are possible where each digit has a few options available.
Number of ways to select F = 8 digits from 3 to 9 and 1 alphabet X = 9
Number of ways to select G = 10 digits from 0 to 9
Number of ways to select H = 10 digits from 0 to 9
XXXX part will be same in all the numbers.
So, total phone numbers possible = [tex]9 \times 10 \times 10 = \bold{900}[/tex]
Hence, the answer is:
900 phone numbers possible.
The figure to the right has its congruent segments marked. Find
the measure of AB.
17 meters
B
5 meters
AB = meters
(Type an integer or a decimal.)
Answer:
AB = 17 meters
Step-by-step explanation:
Given that the triangle, ∆ABC, has 2 congruent sides that are indicated with a single marking on segment AC and segment AB, both segments would be of equal measure.
Therefore, since the measure of segment C is 17 meters, the measure of segment AB = measure of segment AC = 17 meters.
Segment AB = 17 meters. It is congruent to segment AC.
Answer:
13
Step-by-step explanation:
Alice is riding a Ferris wheel, where t is time in seconds. Suppose the Ferris wheel is 22 m tall. Let h(t) = 11cos(12t) represent the height of Alice in m above or below the centre of the Ferris wheel. Relative to the centre of the Ferris wheel, what is the lowest height Alice achieves?
Answer:
Alice reaches 11 metres below the centre as lowest height.
Step-by-step explanation:
Cosine is a bounded function between -1 and 1, so that the lowest height that Alice achieves in Ferris wheel is:
[tex]h(t) = 11\cdot \cos (12\cdot t)[/tex]
Where:
[tex]t[/tex] - Time, measured in seconds.
[tex]h(t)[/tex] - Height with respect to centre, measured in metres.
If [tex]\cos (12\cdot t) = -1[/tex], then:
[tex]h_{min} = 11\cdot (-1)[/tex]
[tex]h_{min} = -11\,m[/tex]
Alice reaches 11 metres below the centre as lowest height.
Answer: 80m got it on edge
1. Jean spent $37.50 for 500 paperclips. How much did he pay for each paperclip?
Answer:
Step-by-step explanation:
It's simple simply do
3750÷500=7.5
Answer:
0.075
Step-by-step explanation:
0.075x500=37.50
4.89 gallons of milk is sold for $12.79. If you have $21.44 in your wallet. How many
gallons of milk you can buy?
Answer:
12.79/4.89 is $2.62 per gallon
2.62x<=21.44
Step-by-step explanation:
You could buy 8 because 21.44 divided by 2.62 is 8.1832...
Simplify the expression. (5+3)×4 8 17 23 32
Answer:
32
Step-by-step explanation:
BIDMAS
(5 + 3) = 8
8 x 4 = 32
(6−3x
2
−8x
4
−2x
3
)+(6+7x
2
)+(2−7x
3
+3x
2
)
What is the constant?
Answer:
14
Step-by-step explanation:
I tried to put the problem together as best as I could and i got the problem as (6-3x^2-8x^4-2x^3)+(6+7x^2)+(2-7x^3+3x^2)
That means that the constants are 6+6+2.
6+6+2= 14
What is the exact value of cos(-60°)?
Answer: 1/2
Step-by-step explanation:
cosine=adjacent/hypotenuse
Cos (-60)=1/2
This is a special triangle
see below as the ratio of each side
Hope this helps!! :)
Please let me know if you have any question
need the answer asap!! thank you!!!
Answer: C
Positive and between 0.0 and 0.5
Which set of angle measures could be the measures of the interior angles of a triangle? 90°, 42°, and 58° 60°, 60°, and 60° 100°, 48°, and 42° 31°, 75°, and 70°
Answer:
60°, 60°, and 60° is the set of interior angles of triangle.
Step-by-step explanation:
Given:
Set of interior angles
90°, 42°, and 58° 60°, 60°, and 60° 100°, 48°, and 42° 31°, 75°, and 70°Find:
Set of interior angles of triangle
Computation:
We know that, sum of interior angles of triangle is 180°
So,
90° + 42° + 58° = 190°
60° + 60° + 60° = 180°
100° + 48° + 42° = 190°
31° + 75° + 70° = 176°
So,
60°, 60°, and 60° is the set of interior angles of triangle.
Answer:
60°, 60°, and 60°
Step-by-step explanation: I took the quiz