Step-by-step explanation:
Citydog Screen Printers received two orders for a t-shirt designed for a math symposium. The first order was for 40 shirts at a total cost of $295 and the second order was for an additional 80 shirts at a total cost of $565. Each order included a shipping and handling charge.
Then we have to writer a linear equation, for which I got: y-27/4x+25. We also had to find the cost per t-shirt, for which I got: $31.75. The last part I don't understand, however: fidn the shipping and handling charge.
The second word problem is:
It costs Consolidated Cereals Corporation $1050 to produce 100 boxes of corn flakes and $1250 to produce 500 boxes. I found the cost function: c(x)=1/2x+1000 but don't know how to determine the fixed cost and the variable cost per box (mainly because I have no idea what those are.)
Cost= m x+b
x is the cost per shirt, b is the handling charge
295=40m+b
565=80m+b
subtract the first equation from the second:
370=40x solve for m, the cost of each shirt. Then solve for b, put all that into y= mx+b
One the second question,
Cost= variable cost * n + Fixedcosts or
cost= n*v+F
1250=500v+f
1050=100v+f
subtract the second equation from the first
200=400v solve for v, and it is 1/2 dollar. Solve for f, the fixed cost, and it looks as if it is 1000 dollars.
Ted mixed together 3 gal. of Brand A fruit
drink and 6 gal. of Brand B fruit drink
which contains 20% fruit juice. Find the
percent of fruit juice in Brand A if the
mixture contained 25% fruit juice.
Answer:
The mixture for Brand A fruit is 5%.
In how many days could 20 boys do a peice of work which 25 boys can do in 32 days ?
baiiiiwiedujjjdjdhsb20
Hello! I’ll take any help !!
Answer:
√73
Step-by-step explanation:
a^2+b^2=c^2
8^2+3^2=c^2
64+9=c^2
√73 =√c^2
√73 =c
4 ÷ 1 1/8 Answer must be in simplest form
Answer:
4÷ 1 1 /8 = 32 /9 = 3 5 /9
How many solutions does the system have?
8x + 2y = 14
82 + 2y = 4
you can solve the equestion by many rules , but in my point of view the easiest rule is subtraction/addition and subtition method .
Ans X=11.5
Y = -39
8x+2y=14 eqn.......1
82+2y=4 eqn .......2
2y= -78 (4-82)
y = - 39
putting value of y in eqn ..1
we get,
8x+ 2×(-39) =14
8x= 14+78
8x=92
x = 92÷8
x=11.5
it's a subtition method..
PLEASE HELP FAST
bx = -5
How many solutions are there to the equation below?
6x+8 - 2x(7 - 2) = 2(6+1)
A. 0
B. 1
C. infinitely many
Answer:
B one solution
Step-by-step explanation:
Answer:
B - one solution
Step-by-step explanation:
6x+8−2x(7−2)=2(6+1)
Subtract 2 from 7 to get 5.
6x+8−2x×5=2(6+1)
Multiply 2 and 5 to get 10.
6x+8−10x=2(6+1)
Combine 6x and −10x to get −4x.
−4x+8=2(6+1)
Add 6 and 1 to get 7.
−4x+8=2×7
Multiply 2 and 7 to get 14.
−4x+8=14
Subtract 8 from both sides.
−4x=14−8
Subtract 8 from 14 to get 6.
−4x=6
Divide both sides by −4.
x=−46
Reduce the fraction −46 to lowest terms by extracting and canceling out 2.
x=−23
hope it helps :)
Problems 1 - 6, evaluate each expression for the given values of the variables.
1 5a + 4b - 3a - 7b+ 4a; a = -3 and b = 4
2. c6-1)-cm; b=5 and c= -2
3. 5x – 2xy + 3y: x=-5 and y=-2
4. -K -(7k - 4m); k=-2 and m = 4
5. 3(6x + 5y) - 2y: x = 3 and y=-3
6. 5(3m – n) – 4(2m- n); m=-8 and n=-11
Problems 7 - 14, combine like terms and simplify completely
Step-by-step explanation:
1) 5a+4b-3a-7b+4a
Add terms having 'a' and 'b' separately
=6a-3b
Now subtitute values of a and b :
=6(-3)-3(4)
=-18-12
=-30
2)c(6-b)-c²
=6c-bc-c²
Subtitute values of b and c:
= 6(-2)-(5)(-2)-(-2)²
=-12+10-4
=-6
3)5x²-2xy+3y
Subtitute values of x and y:
=5(-5)²-2(-5)(-2)+3(-2)
=5(25)-20-6
=125-20-6
=99
4)-k²-(7k-4m)
Subtitute values of m and k:
=-(-2)²-{7(-2)-4(4)}
=-4-(-14-16)
=-4-(-30)
=-4+30
=26
5)3(6x+5y)-2y
Subtitute values of x and y:
=3{6(3)+5(-3)}-2(-2)
=3(18-15)+4
=3(3)+4
=9+4
=13
6)5(3m-n)-4(2m-n)
Subtitue values of m and n:
=5{5(-8)-(-11)}-4{2(-8)-(-11)}
=5(-40+11)-4(-16+11)
=5(-29)-4(-5)
=-145+20
=-125
Note:If you have any question about it you can friendly ask.Thanks
Reorder the numbers and combine like terms to simplify. 4.5 + 2 1/2 + 6.0 - 5 1/2
A. 8.5
B. 7.5
C. -7.5
D. 7m
Answer: B
Step-by-step explanation:
4.5+6=10.5
2 1/2 - 5 1/2 = 2.5 - 5.5 = -3
10.5 - 3 = 7.5
What is the area of a triangle if height is 4cm find the base also plsss help me please
Answer:
This is the formula u can use but the parameters are not complete
Step-by-step explanation:
b=2 A/h
Answer:
8 cm^2.
Step-by-step explanation:
Area = 1/2 * base * height
= 1/2 * 4 * 4
= 8.
geometry #1 please will give brainliest
Step-by-step explanation:
If two lines, segments, or rays intersect at right angles, then they are perpendicular. If two angles are complementary, then their measures add up to 90 degrees. If two angles' measures add up to 90 degrees, then they are complementary. If two angles are supplementary, then their measures add up to 180 degrees.
I'm backk!! School has officially started... here we go again
+*♡ FREE QUESTION!! ♡*+
congrats? Im not sure what to say.
(x-2)/(x+1)=1/2 . find x
Answer:
x=5
Step-by-step explanation:
(x-2)/(x+1)=1/2, we use that a/b = c/d is the same as a*d = c*b
2*(x-2) = 1* (x+1), distribute multiplication over subtraction
2x -4 = x +1 , subtract x and add 4 to both sides
2x -x = 1 +4, combine like terms
x = 5
Answer: x = 5
Solve:
Given
(x - 2) / (x + 1) = 1/2
Cross multiply applied
1 (x + 1) = 2 (x - 2)
Expand parentheses and apply the distributive property
x + 1 = 2x - 4
Add 4 on both sides
x + 1 + 4 = 2x - 4 + 4
x + 5 = 2x
Subtract x on both sides
x + 5 - x = 2x - x
x = 5
Check:
Left-hand side = (x - 2) / (x + 1) = (5 - 2) / (5 + 1) = 3/6 = 1/2
Right-hand side = 1/2
1/2 = 1/2
Hope this helps!! :)
Please let me know if you have any questions
What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?
Answer:
The first choice.
Step-by-step explanation:
It pass through the x axis at x = 3, so a factor must be (x - 3).
Answer:
The first option is correct :)
~Hope this helps
Which answer choice correctly shows 450 written as a Roman numeral?
A. CCCCL
B. DMC
C. DCL
D.CDL
Answer:
D.(CDL)
Step-by-step explanation:
Answer:
CDL
Step-by-step explanation:
C is 100
D is 500
500-100=400
L is 50
400+50=450
I need help dont just add both numbers ill give extra hundrend after you answer
Answer:
28
Step-by-step explanation:
According to the question,
2 helmets and 1 football cost $80, while 1 helmet and 2 football cost $76
Let x represent cost of football and let y equal cost of helmet.
Write the system of equations,
[tex]x +2 y = 80[/tex]
[tex]2x + y = 76[/tex]
Eliminate the x variable by multiplying the top equation by -2
[tex] - 2x - 4y = - 160[/tex]
[tex]2x + y = 76[/tex]
Add both equations.
[tex] - 3y = - 84[/tex]
[tex]y = 28[/tex]
So one helmet cost $28
Name a pair of adjacent complementary angles
9514 1404 393
Answer:
∠LJM and ∠MJN
Step-by-step explanation:
Ray JL forms a pair of right angles at J on line KN. Ray JM divides one of those right angles into two adjacent angles with a sum of 90°. Those two angles are adjacent complementary angles. They are ...
∠LJM and ∠MJN
A marathon is a 26-mile race. An athlete is running a marathon that eventually finishes at a local high school. After x minutes, the distance the athlete is from the school is given by y(in miles), where x+10y=260
If the runner ran for 40min from the start line, what is the remaining distance between the runner and the school?
Step-by-step explanation:
by deleted user on here.
find x step by step
Answer:
[tex] \frac{4 + (x + 1)}{x + 1} = \frac{16}{12} \\ \\ \frac{5 + x}{x + 1} = \frac{16}{12} \\ \\ 12(5 + x) = 16(x + 1) \\ 60 + 12x = 16x + 16 \\ 4x = 44 \\ x = 11[/tex]
Answer:
x = 11 cm
Step-by-step explanation:
Segments DE and BC are parallel (that's what the arrows tell you), so there are two similar triangles formed.
[tex]\triangle{ADE} \sim \triangle{ABC}[/tex]
Corresponding sides are in proportion, so
[tex]\frac{AD}{AB}=\frac{12}{16}[/tex]
The length of AB is (x + 1) + 4 = x + 5, and 12/16 simplifies to 3/4, so
[tex]\frac{x+1}{x+5}=\frac{3}{4}[/tex]
"Cross multiply" to get
[tex]4(x+1)=3(x+5)\\4x+4=3x+15\\4x=3x+11\\x=11[/tex]
Bananas are $0.59/pound what is the constant of proportionality?
Answer:
Step-by-step explanation:
y = k x
Total cost = y
number of pounds = x
constant = 0.59
Equation
y = 0.59 x
A new cars salesperson, sold an average of $32,130 per day for the first 4 days she worked. The next 5 days she worked, she sold an average of $31,173. How much did she sell on average per day over the entire time she worked??
Answer:
$31,598.33
Step-by-step explanation:
she worked 4+5=9 days.
due the total average we need the total of sales and divide it by the length of the observation period (9 days).
how much did she sell in total on the first 4 days ?
well, the average times 4 = 32130×4 = $128520
how much did she sell in total during the following 5 days ?
31173×5 = $155865
so, the daily average is
($128520 + $155865) / 9 =$284385 / 9 = $31,598.33
How do you simplify a fraction with a denominator of a variable like this
6x/x
Step-by-step explanation:
The x's will simply cancel each other out and you will be left with a 6
hope it makes sense
:)
Find the measures of unknown angles.
Answer:
hope this helps you
god bless you
[tex]f(x) = 2x^{2} +5x-2[/tex]
Answer:
[tex]f(x) = 2(x + \frac{5}{4} {)}^{2} - \frac{41}{5} [/tex]
Step-by-step explanation:
[tex]f(x) = 2 {x}^{2} + 5x - 2[/tex]
[tex]f(x) = 2( {x}^{2} + \frac{5}{2} x) - 2[/tex]
[tex]f(x) = 2( {x}^{2} + \frac{5}{2} x + \frac{25}{16} ) - 2[/tex]
[tex]f(x) + 2 \times \frac{25}{16} = 2( {x}^{2} + \frac{5}{2} x + \frac{25}{16} ) - 2[/tex]
[tex]f(x) = 2(x + \frac{5}{4} {)}^{2} - 2 - \frac{25}{8} [/tex]
[tex]f(x) = 2(x + \frac{5}{4} {)}^{2} - \frac{41}{5} [/tex]
what is 2 ÷ 3 = as a fraction???
Answer:
[tex]2 \div 3 \\ \frac{2}{3} [/tex]
1. The volume of a cube is 27 cubic inches. How long is its side? 3
If I'm not wrong, it should be 27cm^3. Hope this helps!!
Answer:
3
Step-by-step explanation:
[tex]\sqrt[3]{27}[/tex]
a) If 8 workers can complete a piece of work in 18 days, how many workers are required to complete the work in 12 days? b) 20 labourers comnloto the . 1 T
Answer:
12 workers are required to complete the work in 12 days
plz help!! will mark brainliest
Step-by-step explanation:
x + 4 + 3x = 72 Let's agroup all the x
4x + 4 = 72 Subtract 4 on both sides
4x = 68 Divide both sides by 4
x = 17
x + 3 + x – 8 + x = 55 Let's agroup all the x
3x + 3 – 8 = 55 Solve 3 – 8
3x – 5 = 55 Add 5 on both sides
3x = 60 divide both sides by 3
x = 20
How do you make these diagrams??
Answer:
a. ▲▲△
b. ▲▲▲▲▲▲▲▲▲△△△△△△△
c.▲▲▲▲▲▲ △△△
can someone please help me with this?
Answer:
These are the missing numbers
Sec1
A. 12, 29/2, 17 (arithmetic)
C. 3/16, 3/32, 3/64 (geometric)
D. 17, 33, 65 (neither)
Sec2
A. 8, 48 (growth)
B. 16, 32 (growth)
C. 1, 2 (rate)
Step-by-step explanation:
Section 1
A. add by 2.5 or 5/2
C. multiply by 1/2
D. double the value-added
Section2
A & B. multiply by 2
C. add 1/2