Total cost as the function of shirts is :
C(x) = mx + 500 .
It is given that , The total cost to produce 100 shirts is $800.
800 = 100m + 500
m = 3
So , cost is given by :
C(x) = 3x + 500 .
Now , putting x = 1000 .
We get :
C(x) = 3x + 500
C(x) = 3(1000) + 500
C(x) = $3500
Therefore , cost of producing 1000 shirts is $3500 .
Hence, this is the required solution .
Total cost to produce 1000 shirts will be $3500.
Linear equation: A linear equation with two variables 'x' and 'y' are given by,y = mx + b
Here, m = constant
Given in the question,
Equation representing company's total cost C(x) and number of shirts 'x' as,
C(x) = mx + 500
Here, m = constant
And x > 0
If C(x) = $800, x = 100,800 = m(100) + 500
m = 3
Equation for the total cost to produce the 'x' shirts will be,
C(x) = 3x + 500
If x = 1000,C(x) = 3(1000) + 500
x = $3500
Therefore, total cost to produce 1000 shirts will be $3500.
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Which problem can we solve with 1/3 divided by 4.
Step-by-step explanation:
1/3÷4
1/3×4
4/3the answer is 4/3
Write each product in exponential form.
3x3x3x3x3
Answer:
3^5, because thats 5 3's
Step-by-step explanation:
Answer:
3⁵
Step-by-step explanation:
3[x + 3(4x – 5)] = 15x – 24
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 0.875}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{3[ x + 3(4x - 5)] = 15x - 24}[/tex]
Distribute 3 through the parentheses
⇒[tex] \sf{3[ x + 12x - 15 ] = 15x - 24}[/tex]
Collect like terms : 12x and x
⇒[tex] \sf{3[ 13x - 15 ] = 15x - 24}[/tex]
Distribute 3 through the parentheses
⇒[tex] \sf{39x - 45 = 15x - 24}[/tex]
Move 15x to left hand side and change it's sign
Similarly, move 45 to right hand side and change it's sign
⇒[tex] \sf{39x - 15x = - 24 + 45}[/tex]
Collect like terms
⇒[tex] \sf{24x = - 24 + 45}[/tex]
Calculate
⇒[tex] \sf{24x = 21}[/tex]
Divide both sides of the equation by 24
⇒[tex] \sf{ \frac{24x}{24} = \frac{21}{24}} [/tex]
Calculate
⇒[tex] \sf{x = 0.875}[/tex]
Hope I helped!
Best regards! :D
25cg : 4g in lowest terms.
Step-by-step explanation:
We need to convert 25 cg : 4g in lowest terms.
We know that, 1 gram = 100 centigram
1 cg = (1/100) gram
25 cg = [tex]\dfrac{25}{100}[/tex] grams
To write 25 cg : 4g in lowest terms, the step to be done are as follows :
[tex]\dfrac{25\ cg}{4\ g}=\dfrac{\dfrac{25}{100}}{4}\\\\=\dfrac{\dfrac{25}{25\times 4}}{4}\\\\=\dfrac{1}{16}[/tex]
It means that the lowest term for 25 cg : 4g is [tex]\dfrac{1}{16}[/tex]
Write as a fraction and simplify. (use the symbol / in your answer).
0.878787.....
Answer:
.878787.. to a fraction is 29/33
Step-by-step explanation:
[tex]\frac{(0.87*100)-0}{99}[/tex] = 87/99
Simplify 87/99, which is 29/33
Question 5 (25. pts)
What can you conclude about your observations in Question 4? What happened as you moved P, the center of rotation, about the coordinate plane? How can you extend your discoveries about the vertices to all points that lie on a figure or shape?
Answer:
No matter where the center of rotation is located on the coordinate plane, each point in the preimage is the same distance from the point of rotation as its corresponding point in the rotated images. This distance is not affected by changing the location of P. Although this investigation covered vertices only, it's clear that any point on a shape or figure will be affected similarly.
Step-by-step explanation:
The average distance from Earth to the sun is about 9.3 x 10LaTeX: ^77 miles. The average distance from Mars to the sun is about 1.4 x 10LaTeX: ^88 miles. When both planets are at their average distance from the sun, how much farther is Mars from the sun than Earth?
Answer:
Mars is [tex]1.4 \times 10 ^{88} miles[/tex] farther from the sun than Earth?
Step-by-step explanation:
We can assume that the two planets are on a straight line. This would make the solution easier for us.
The average distance from Earth to the sun is about [tex]9.3 \times 10 ^{77} miles[/tex]
The average distance from Mars to the sun is about [tex]1.4\times 10^{88} miles[/tex]
To find how much farther is Mars from the sun than Earth, we simply need to subtract the distances between the Earth and the Sun and the Distance between Mars and the Sun.
This will be
[tex]1.4\times 10^{88} miles[/tex] - [tex]9.3 \times 10 ^{77} miles[/tex] = [tex]1.4 \times 10 ^{88} miles[/tex]
what is 4 fifteenths plus 11 twelves in simplest form
Answer:
192
Step-by-step explanation:
4(15)+11(12)
15+15+15+15=60
4(15)=60
12+12+12+12+12+12+12+12+12+12+12=132
11(12)=132
60+132=192
Hope this helps ;) ❤❤❤
Solve the equation for x. For each step, identify the property used to convert the equation. 18=6(2x – 8)
Answer:
x=11/2Step-by-step explanation:
solution
We going to do this process in a stepwise manner
given the expression
18=6(2x – 8)
1. open bracket on the left-hand side (distributive property)
18=12x-48
2. collect like terms
18+48=12x
66=12x
3. divide both sides by 12 we have
x= 66/12
x= 33/6
x=11/2
What is the opposite of the opposite of negative nine?
Answer:
-9 or negative 9
Step-by-step explanation:
The opposite of negative 9 is positive 9.
The opposite of that is negative 9.
Answer:
+9
Step-by-step explanation:
Ted has these cards:5,2,6.
Make a list of all the 3 digit numbers he can make using the cards
Answer:
256
265
526
562
625
652
find the domain & range, pls helpp
Answer:
Domain: 1, 6
Range: 4
Step-by-step explanation:
The Domain is the first coordinate which is x
The Range is the second coordinate which is y
The domain is the set of departure of a function into constrained to fall it is the sex X in the notation f:X-Y and is denoted as dom. The range is set of data is the diffrence between largest and smallest values so The domain is 1,6 and range is 4
please solve this problem
Answer:
(4) 0
Step-by-step explanation:
Given:
cos²27°×cos²34°×...×cos²167 = ?Looking at the angles measures, they form series of:
27, 34, 41, ..., 167This is AP with the first term of 27 and common difference of 7
We can see one of the terms of this AP is 90
27+9*7 = 27 + 63 = 90Since cos 90° = 0 ⇒ cos²90° = 0 and therefore given series equals to zero as one of the terms of multiplication is zero.
So correct answer choice is Option 4) 0
16=5/4(6x+20)
what's it's simplest form
Answer:
-6/5
Step-by-step explanation:
Answer: x=0 or 6/5
Step-by-step explanation:
Please help I will give out brainliest and 100 points
Answer:
20.5 cm
21.5 cm
Step-by-step explanation:
Length is 21 cm correct to 2 significant figures
Find lower and upper bounds
The lower bound is the smallest value that will round up to the approximate value. The upper bound is the smallest value that will round up to the next approximate value.As per above definition:
Lower bound is 20.5 cm rounded to 21 Upper bound is 21.5 cm rounded to 22Answer:
a. L.B. = 20.5
b. U.B. = 21.5
Step-by-step explanation:
Length is measured 21 cm correct to 2 significant figures
a. Lower bound of 21
= 20.5 < 21
= 20.5
b. Upper bound of 21
= 21 < 21.5
= 21.5
-Write 4.82 as a mixed number.
Write 7.7 as a mixed number.
OMG I NEED HELP i will give 10 points
Answer:
1)4 41/50
2)7 7/10
Find the cube root(s): ∛1
Answer:
1
Step-by-step explanation:
1 times 1 times 1 = 1
How many tattoos does Niall Horan have?
Answer:
0
Step-by-step explanation:
hope this helps with your math
Answer:
none
Step-by-step explanation:
i need help! please!!!!!!!!
Step-by-step explanation:
3x4=12
3.14
12-3.14
who is correct though and why?
Answer:
Correct
Step-by-step explanation:
i need something to work with im not understanding your question
What is the value of x?
6.75+3/8×=13 1/4
Answer:
x = 17.3333
Step-by-step explanation:
Solve for x:
(3 x)/8 + 6.75 = 13 + 1/4
Hint: | Put the fractions in (3 x)/8 + 6.75 over a common denominator.
Put each term in (3 x)/8 + 6.75 over the common denominator 8: (3 x)/8 + 6.75 = (3 x)/8 + 54/8:
(3 x)/8 + 54/8 = 13 + 1/4
Hint: | Combine (3 x)/8 + 54/8 into a single fraction.
(3 x)/8 + 54/8 = (3 x + 54)/8:
(3 x + 54)/8 = 13 + 1/4
Hint: | Put the fractions in 13 + 1/4 over a common denominator.
Put 13 + 1/4 over the common denominator 4. 13 + 1/4 = (4×13)/4 + 1/4:
(3 x + 54)/8 = (4×13)/4 + 1/4
Hint: | Multiply 4 and 13 together.
4×13 = 52:
(3 x + 54)/8 = 52/4 + 1/4
Hint: | Add the fractions over a common denominator to a single fraction.
52/4 + 1/4 = (52 + 1)/4:
(3 x + 54)/8 = (52 + 1)/4
Hint: | Evaluate 52 + 1.
52 + 1 = 53:
(3 x + 54)/8 = 53/4
Hint: | Multiply both sides by a constant to simplify the equation.
Multiply both sides of (3 x + 54)/8 = 53/4 by 8:
(3 x + 54)/(8 1/8) = 1/4×1/(1/8) 53
Hint: | Any nonzero number divided by itself is one.
1/8×1/(1/8) = 1:
3 x + 54 = 1/4×1/(1/8) 53
Hint: | Write 1/4×1/(1/8) as a single fraction.
Multiply the numerator of 1/4×1/(1/8) by the reciprocal of the denominator. 1/4×1/(1/8) = 1/4×8:
3 x + 54 = 1/4×8×53
Hint: | Express 1/4×8×53 as a single fraction.
1/4×8×53 = (8×53)/4:
3 x + 54 = (8×53)/4
Hint: | In (8×53)/4, divide 8 in the numerator by 4 in the denominator.
8/4 = (4×2)/4 = 2:
3 x + 54 = 2×53
Hint: | Multiply 2 and 53 together.
2×53 = 106:
3 x + 54 = 106
Hint: | Isolate terms with x to the left hand side.
Subtract 54 from both sides:
3 x + (54 - 54) = 106 - 54
Hint: | Look for the difference of two identical terms.
54 - 54 = 0:
3 x = 106 - 54
Hint: | Evaluate 106 - 54.
106 - 54 = 52:
3 x = 52
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 3 x = 52 by 3:
(3 x)/3 = 52/3
Hint: | Any nonzero number divided by itself is one.
3/3 = 1:
x = 52/3
Hint: | Express 52/3 in decimal form.
52/3 = 17.3333:
Answer: x = 17.3333
Answer:
52/3
Step-by-step explanation:
The answer above me ^^
. >,<, = 6 × 10^−3 5 × 10^−3 Please help will mark brainly.
Answer:
6*10^-3 > 5*10^-3
Step-by-step explanation:
[tex]6*10^{-3}\\6*\frac{1}{10^{3} }\\6*\frac{1}{1000}\\\frac{6}{1000}=\frac{3}{500}=0.006[/tex]
[tex]5*10^{-3}\\5*\frac{1}{10^{3} }\\5*\frac{1}{1000}\\\frac{5}{1000}=\frac{1}{200}=0.005[/tex]
0.006>0.005, therefore, 6*10^-3>5*10^-3
Is -0.11 a natural number?
Answer:
No it's not.
Step-by-step explanation:
A natural number is the subset of:
Positive numbersDoesn't include Zero.Hope this helps ;) ❤❤❤
Answer:
No
Step-by-step explanation :
a natural number is a positive integer greater than 0 and a number that does not include a decimal point.
The world record for the most number of speed skips in 60 seconds is 332 skips. If the record holder skipped at a constant ratio of seconds to skips, how many skips did she make in 15 seconds?
Answer:
83
Step-by-step explanation:
If that number of skips is represented by s, we can write the proportion ...
skips/seconds = s/15 = 332/60
s = 332(15/60) = 332/4 = 83
She skipped at the rate of 83 skips in 15 seconds.
_____
Additional comment
If the ratio seconds : skips is constant, then so will be the ratio skips : seconds.
Answer:
332/60 is 5.53, then multiply that by 15 and your answer is 83
Step-by-step explanation:
solve for x in this equation A=Bxt+C
Answer:
[tex]x = \frac{A - C}{Bt} [/tex]Step-by-step explanation:
A = Bxt + C
To solve for x move C to the other side of the equation
That's
Bxt = A - C
Divide both sides by Bt to make x stand alone
That's
[tex] \frac{Bxt}{Bt} = \frac{A - C}{Bt} [/tex]We have the final answer as
[tex]x = \frac{A - C}{Bt} [/tex]Hope this helps you
Is 63,459 greater or less than 62,935
Answer:
greater than
Step-by-step explanation:
63,459 is 542 more than 62,935
Answer:
63,459 is less than 63,935
Step-by-step explanation:
63,459 is less than 63,935 because in 63,459 the hundreds place is 400 and in 63,935 the hundreds place is 900.
Hope this helps, please mark brainliest. You dont have to if you dont like it
I have fewer than 25 acorns.
I have more than 21 acorns.
Draw how many acorns I could have.
Answer:
21 < a < 25
Step-by-step explanation:
More than 21 acorns is represented by 21 <
Fewer than 25 acorns is represented by < 25
Let a be the number of acorns you could have.
21 < a < 25
(25 POINTS!!!!) a rectangular garden measures 5 feet by 4 feet. The length and width are both increased by the same amount and the new area is 56 square feet. What are the new dimensions of the garden?
The new dimensions of the garden are 8 feet and 7 feet.
What is rectangle?A rectangle is a part of a quadrilateral, whose sides are parallel to each other and equal.
Given that,
The length of rectangular garden = 5 feet,
And the width of rectangular garden = 4 feet.
The area of rectangular garden = 5 x 4 = 10 square feet.
Let the length and width are increased by x feet, to make the new area 56 square feet.
The new length = 5 + x,
and new width = 4 + x.
The area = 56
(5 + x) × (4 + x) = 56
Substitute, x= 3 which satisfies the equation,
So, the new length of garden = 5 + 3 = 8 feet,
And the new width of garden = 4 + 3 = 7 feet.
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Solve: 1 x + 2 = -x + 7
10
5/2
2/5
20
Answer:
5/2
Step-by-step explanation:
1x+2=-x+7
2x=5
x=5/2
What’s the 10th term in 2,8,14,20
Answer: 56
Explanation: Add 6 to your sum every time until you get to the 10th term. It should look like this:
2
8
14
20
26
32
38
44
50
56
This is a total of 10 numbers.
Hope it helps!