Answer:
The constant is that each 14 t-shirts you need to pay 78.40$
Step-by-step explanation:
If you divide 78.40 between the 14 t-shirts you get 5,39$, whiwh would be the price of a t-shirt.
y is directly proportional to the square root of ( x-3 ). When x = 28, y = 20. Find y when x = 39.
Answer:
24Step-by-step explanation:
y is directly proportional to the square root of ( x-3):
y = k[tex]\sqrt{x-3}[/tex], where k is the coefficient of proportionalityGiven:
y is 20 when x is 28Find k:
20 = k[tex]\sqrt{28-3}[/tex]20 = k* 5k = 20/5k = 4Find y when x = 39:
y = 4[tex]\sqrt{39-3}[/tex]y =4[tex]\sqrt{36}[/tex]y = 4*6y = 24Answer:
y = 24
Step-by-step explanation:
Given y is directly proportional to [tex]\sqrt{x-3}[/tex] then the equation relating them is
y = k[tex]\sqrt{x-3}[/tex] ← k is the constant of proportion
To find k use the condition when x = 28, y = 20 , then
20 = k × [tex]\sqrt{28-3}[/tex] = k × [tex]\sqrt{25}[/tex] = 5k ( divide both sides by 5 )
4 = k
y = 4 [tex]\sqrt{x-3}[/tex] ← equation of proportion
When x = 39 , then
y = 4 × [tex]\sqrt{39-3}[/tex] = 4 × [tex]\sqrt{36}[/tex] = 4 × 6 = 24
Gina wants to make muffins. The recipe for blueberry muffins calls for 2 3/4 cups of flour. The recipe for cornmeal muffins calls for 1 2/3 cups of flour. How many more cups of flour would Gina need for blueberry muffins than corn muffins?
Answer:
1 1/12
Step-by-step explanation:
You take 2 3/4 and subtract it by 1 2/3
Make them into improper fractions 11/4 - 5/3
you multiply 11/4 by 3 and 5/3 by 4 to get a common denominator
you get 33/12 - 20/12 and get 13/12
then make it a mixed number
hope this helps :)
Quadrilateral LKMN is similar to quadrilateral OPQR. Find the measure of side OP. Round your answer to the nearest tenth if necessary.
Answer:
The answer is 12.6
Step-by-step explanation:
See the solution in the picture.
help!!!
i will give a brainliest!!
Answer: is 1 and 3
Step-by-step explanation:
Peter says if you subtract 16 from my number and multiply the difference by negative 5 the result is negative 50 what is peter's number?
Answer:
Below.
Step-by-step explanation:
If n is the required number:
(n - 16) * -5 = -50
-5n + 80 = -50
-5n = -50 - 80
-5n = -130
n = -130 / -5
n = 26 (answer).
Solve the literal equation for x.
k= nx - 3x
answer:X=k/n-3
explain:move all terms to the left side and set equal to zero. then set each factor equ to zero!
I hope this helps
For each of the following solids, find
1.
the volume,
(i) the total surface area,
of the solid.
(a)
(b)
24 cm
26 cm
1.2 m
0.5 m
50 cm
2.5 m
-PB
1.2 m
+20 cm
d
e
e
(c)
(d)
e
a
3.5 m
3.5 m 4m
40 cm
3.5 m
b
40 cm
and
Answer:
this is so easy and the answer of this all questions is54
A room is made up of 3 doctors and 7 nurses. If one is selected at random, what is the probability that they choose a nurse?
Answer:
7/10
Step-by-step explanation:
There are 10 people in total and 7/10 of them are nurses
or 0.7 out of 1 probability
Select the correct answer.
Which statement best describes the solution to this system of equations?
3x + y= 17
x+2y= 49
OA. It has no solution.
OB.
It has infinite solutions.
OC. It has a single solution: x= 15, y= 17.
OD. It has a single solution: x= -3, y = 26.
Reset
Next
Answer:
D. (-3, 26)
Step-by-step explanation:
The ratios of x- and y-coefficients are different in the two equations, so there will be a single solution. (Different ratios mean the slopes are different. Lines with different slopes must intersect in exactly one point.)
We can rearrange the first equation to give an expression for y:
y = 17 -3x
This can be substituted into the second equation to give ...
x +2(17 -3x) = 49
-5x +34 = 49 . . . . . . simplify
-5x = 15 . . . . . . . subtract 34
x = -3 . . . . . . divide by -5
Then the value of y is ...
y = 17 -3(-3) = 26
The single solution is (x, y) = (-3, 26).
Hi! I'm 12 years old trying to move up in maths, does anyone have any tips about any one of these topics?
- Bearings
- Number scales
-Ratios
-Proportionally calculating quantities to recipes (??)
-Averages
-Times tables in general
Thank you so much if you decide to answer this!! Im trying to become a barrister when im older:)
Answer:
For number remember that the negative number are smaller, but if it question like this which one is bigger -5 or -6 will -5 will be the answer because it is not smaller than -6. For ratios just remember divide or number of something like there are 3 to 8 child in the classroom then thee ratios would be 3:8. Lastly for the times tables learn all of your times tables like your favorite game, so things will be easier on you.
Write the word sentence as an inequality.
A number b
multiplied by −5
is at most −34
.
Answer:
-5b <= -34
Step-by-step explanation:
The inequality phrase, "at most" is same as "less than or equal to". So the algebraic inequality would be -5b <= -34. To solve for b, divide both sides by -5 and make sure to switch the inequality symbol to >= when dividing or multiplying inequalities by a negative number. So b >= 34 / 5.
Nine buses hold 85 people each. If 693 people buy tickets for a trip, how many seats won’t be taken?
Answer:
72
Step-by-step explanation:
you take 85 * 9
85 = # of seats
9 = # of buses
then you get 765
next, you take 765 - 693
765 = # of seats
693 = # people who bought tickets for a trip
finally you get 72
72 = # of empty seats
Is (3, 8) a solution to the equation y = 2x - 1? Explain your answer.
Answer:
No, because 2x3 - 1 =5, which proves it is incorrect
Step-by-step explanation:
Which expression shows the number 19.65 correctly decomposed?
19 + 0.6 + 0.05
10 + 9 + 0.6 + 0.05
10 + 0.6 + 0.05
19 + 9 + 0.6 + 0.05
Answer: 10 + 9 + 0.6 + 0.05
Answer:
..............................................................
Step-by-step explanation:
..........................................................................
..........................................................................
The Olympic record for the most points in springboard diving is 905.02. The gold medal winner in 2008 scored 572.9. How many more points is the record to the gold medal winner of 2008?
Answer:
332.12
Step-by-step explanation:
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!6
Which answer correctly describes the transformation from the preimage to the
image?
a translation 10 units left and 8 units down
a reflection over the x-axis
a translation 10 units right and 8 units up
a rotation of 180°
a reflection over the y-axis
Translation of 10 units left and 8 units down
================================================
Explanation:
Always start with the preimage. Let's say we focus on point A located at (3,6). Its corresponding point is A' located at (-7,-2). To go from (3,6) to (-7,-2), we move 10 units to the left and 8 units down.
The motion "10 units to the left" means we subtract 10 from the x coordinate. The "8 units down" part means we subtract 8 from the y coordinate.
Overall, the translation rule is [tex](x,y) \to (x-10,y-8)[/tex]
If we applied that rule to A(3,6), then...
[tex](x,y) \to (x-10,y-8)\\\\(3,6) \to (3-10,6-8)\\\\(3,6) \to (-7,-2)\\\\[/tex]
which is what the diagram shows going from A to A'
Let's do the same for point B(3,1)
[tex](x,y) \to (x-10,y-8)\\\\(3,1) \to (3-10,1-8)\\\\(3,1) \to (-7,-7)\\\\[/tex]
This indicates B(3,1) moves to B ' (-7,-7) which is what the diagram shows. I'll let you confirm that C(6,6) moves to C ' (-4,-2) using that translation rule.
Mairead jogs 2,700 feet, while Paula jogs 0.5 mile. Who jogs farther, and by how many feet?
Please help, I have to be done with this in 2 days so if anybody could help it would be very nice.
Answer:
Paula jogs more by 0.1113636 miles or 600 feet.
Step-by-step explanation:
formula for feet to miles; 5280 / f.
2700 / 5280 = 0.5113636363636
0.113636363636 x 5280 = 600 feet.
Could somebody help me with this problem
Answer:
72.8 cm³
Step-by-step explanation:
The relevant formula is ...
V = Bh
Using the given values, you find the volume to be ...
V = (10.4 cm²)(7 cm) = 72.8 cm³
HELP 10 POINTS + BRAINLIEST Determine the equation of the line shown in the graph:
y=0
x=0
y=5
X=5
Answer:
y=0
Step-by-step explanation:
the x coordinate is 5 and the y coordinate is 0 because the line does not move up the y axis
Answer:
your question is a little messed up.
the equation for the blue line is x = 5
y=x if you're looking for an equation that satisfies (0,0) and (5,5)
50 pts. & will give brainliest! use the rational root theorem to list all possible rational roots of the polynomial equation x^3 - x^2 - x - 3 = 0. do not find the actual roots. (1 point)
a. -3, -1, 1, 3
b. 1, 3
c. -3, 3
d. no roots
Answer:
The Cubic Polynomial given here is
x³ - x² - x -3 =0
Rational root theorem :
Consider any polynomial
[tex]→ Ax^n +A_{1}x^{n-1}+A_{2}x^{n-2}+.................+A_{n}=0Axn+A1xn−1+A2xn−2+.................+An=0[/tex]
So, the factors of this polynomial is those number which divides An/A which are ±1, An/A.
Applying the same method the number which divides (-3) are,-3,+3,-1,+1. So By rational root theorem all the factors of this cubic polynomial is 3,±1,±3 .
Option 1. -3,-1,1,3 is correct optionAnswer:
-3, -1 , 1, 3
Step-by-step explanation:
Constant factors: 1, -1, 3, -3
Coefficient factors: 1, -1
What is the result when the number 10 is increased by 20%?
Answer:
1.20 percent
Step-by-step explanation:
The cube less the square of a number is twice the number. If x is a positive integer, what is its value
Answer:
2
Step-by-step explanation:
let 'x' = number
x³ - x² = 2x
x³- x² - 2x = 0
x(x² - x - 2) = 0
x(x - 2)(x + 1) = 0
x = -1, 0, 2
the only positive solution is the number 2
PLEASE HELP!!!! Prove and state whether the functions below are inverse functions.
Answer:
Step-by-step explanation:
y = 5x - 2
5x = y + 2
x = [tex]\frac{y}{5}[/tex] + [tex]\frac{2}{5}[/tex]
y = [tex]\frac{x}{5}[/tex] + [tex]\frac{2}{5}[/tex] is inverse function of y = 5x - 2
5x - 2 and [tex]\frac{1}{5}[/tex] x + 2 are not inverse functions
What is the sale price?
30 pts
Answer:
Sales Price = $8.75
Step-by-step explanation:
Original Price - Discount = Sale Price
=> 12.50 - 3.75 = Sales Price
=> Sales Price = $8.75
Hoped this helped.
Which expression can be used to find 25 percent of 88?
1/25 x 88
One-fourth times 88
1/0.25 x 88
1/40 x 88
Answer:
B) 1/4 x 88
Step-by-step explanation:
25%=25/100=1/4
25% of 88, of is basically multiplication
=1/4 x 88
Which rational exponent represents a cube root?
A.
O B. 11
o
C.
N-
O D.
14
Solve for the value of K
Answer:
k = 5
Step-by-step explanation:
The straight angle is 180º
The right angle is 90º
Therefor
(8k + 1) + 90 + 49 = 180
combine like terms
8k + 140 = 180
Subtract 140 from both sides
8k = 40
Divide both sides by 8
k = 5
Answer:
16.25
Step-by-step explanation:
4) A company manufactures widgets. The expense function E=8q+12,000 and the
demand function q= -10p +20,000, where p is the price.
a. Express the variable expense V in terms of q, where q is the quantity of widgets
produced
b. Express the total expenso E in terms of p.
c. Determine the Revenue R in terms of p. (Hint: R=p•q).
d. Determine the profit P in terms of p. (Hint: P=R-E).
e. Determine the price that will yield the maximum profit. (Hint: x = -b/2a).
f. Determine the maximum profit.
Revenue, profit and expenses are all integral parts of a company's balance sheet
The expense in terms of q is [tex]\mathbf{E = 8q + 12000}[/tex]The expense in terms of p is [tex]\mathbf{E = -80p + 172000}[/tex]The revenue in terms of p is [tex]\mathbf{R = -10p^2 + 20000p}[/tex]The profit in terms of p [tex]\mathbf{P =-10p^2 + 20080p - 172000}[/tex]The price that yields the maximum profit is $1004The maximum profit is $9908160The expense function is given as:
[tex]\mathbf{E = 8q + 12000}[/tex]
The demand function is given as:
[tex]\mathbf{p = -10p + 20000}[/tex]
(a) The expense in terms of q
This is already given as: [tex]\mathbf{E = 8q + 12000}[/tex]
(b) The expense in terms of p
Substitute -10p + 20000 for p in [tex]\mathbf{E = 8q + 12000}[/tex]
[tex]\mathbf{E = 8(-10p + 20000) + 12000}[/tex]
Expand
[tex]\mathbf{E = -80p + 160000 + 12000}[/tex]
[tex]\mathbf{E = -80p + 172000}[/tex]
(c) The revenue in terms of P
This is calculated as:
[tex]\mathbf{R = p \times q}[/tex]
So, we have:
[tex]\mathbf{R = p \times (-10p + 20000)}[/tex]
Expand
[tex]\mathbf{R = -10p^2 + 20000p}[/tex]
(d) The profit in terms of p
We have:
[tex]\mathbf{R = -10p^2 + 20000p}[/tex] and [tex]\mathbf{E = -80p + 172000}[/tex]
So, the profit P is calculated as:
[tex]\mathbf{P =R - E}[/tex]
This gives
[tex]\mathbf{P =-10p^2 + 20000p +80p - 172000}[/tex]
[tex]\mathbf{P =-10p^2 + 20080p - 172000}[/tex]
(e) The price that yields maximum profit
In (d), we have:
[tex]\mathbf{P =-10p^2 + 20080p - 172000}[/tex]
The maximum price is calculated using:
[tex]\mathbf{p = -\frac{b}{2a}}[/tex]
Where:
[tex]\mathbf{b =20080}[/tex]
[tex]\mathbf{a = -10}[/tex]
So, the equation becomes
[tex]\mathbf{p = -\frac{20080}{2 \times -10}}[/tex]
[tex]\mathbf{p = 1004}[/tex]
Hence, the price that yields the maximum profit is $1004
(f) The maximum profit
In (e), we have: [tex]\mathbf{p = 1004}[/tex]
Substitute 1004 for p in [tex]\mathbf{P =-10p^2 + 20080p - 172000}[/tex]
[tex]\mathbf{P =-10(1004)^2 + 20080(1004) - 172000}[/tex]
[tex]\mathbf{P =9908160}[/tex]
Hence, the maximum profit is $9908160
Read more about revenue, expenses and profit at:
https://brainly.com/question/23103804
Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $2,699 was collected on the sale of 1,179 tickets. How many of each type of ticket were sold?
Answer:
Step-by-step explanation:
The Answer 3182121
